merged;

--- a/src/HOL/SMT.thy	Mon Feb 05 21:49:26 2024 +0100
+++ b/src/HOL/SMT.thy	Mon Feb 05 22:03:43 2024 +0100
@@ -252,6 +252,9 @@
 lemma verit_and_pos:
   \<open>(a \<Longrightarrow> \<not>(b \<and> c) \<or> A) \<Longrightarrow> \<not>(a \<and> b \<and> c) \<or> A\<close>
   \<open>(a \<Longrightarrow> b \<Longrightarrow> A) \<Longrightarrow> \<not>(a \<and> b) \<or> A\<close>
+  by blast+
+
+lemma verit_farkas:
   \<open>(a \<Longrightarrow> A) \<Longrightarrow> \<not>a \<or> A\<close>
   \<open>(\<not>a \<Longrightarrow> A) \<Longrightarrow> a \<or> A\<close>
   by blast+

--- a/src/HOL/SMT_Examples/SMT_Examples_Verit.certs	Mon Feb 05 21:49:26 2024 +0100
+++ b/src/HOL/SMT_Examples/SMT_Examples_Verit.certs	Mon Feb 05 22:03:43 2024 +0100
@@ -210,661 +210,6 @@
 (step t19 (cl (or (! (not @p_18) :named @p_29) @p_21)) :rule forall_inst :args ((:= veriT_vr2 a$) (:= veriT_vr3 b$)))
 (step t20 (cl @p_29 @p_21) :rule or :premises (t19))
 (step t21 (cl) :rule resolution :premises (t20 t8 t18))
-8616c6debd3ebae49adf8409b8c1ecb6665bc881 654 0
-unsat
-(assume a0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uua$ ?v0) :named @p_13) (! (line_integral_exists$ f$ (! (insert$ j$ bot$) :named @p_7)) :named @p_12)) :named @p_15)) :named @p_11))
-(assume a1 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_25) (! (line_integral_exists$ f$ (! (insert$ i$ bot$) :named @p_5)) :named @p_24)) :named @p_27)) :named @p_23))
-(assume a2 (! (forall ((?v0 Int_real_real_real_prod_fun_bool_fun_fun$) (?v1 Int_real_real_real_prod_fun_prod$)) (! (= (! (case_prod$ ?v0 ?v1) :named @p_36) (! (fun_app$a (! (fun_app$ ?v0 (! (fst$ ?v1) :named @p_40)) :named @p_42) (! (snd$ ?v1) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
-(assume a3 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$)) (! (=> (! (= (! (insert$ ?v0 bot$) :named @p_3) (! (insert$ ?v1 bot$) :named @p_64)) :named @p_66) (! (= ?v0 ?v1) :named @p_70)) :named @p_72)) :named @p_62))
-(assume a4 (! (forall ((?v0 Int) (?v1 Real_real_real_prod_fun$)) (! (= ?v1 (! (snd$ (! (pair$ ?v0 ?v1) :named @p_87)) :named @p_89)) :named @p_91)) :named @p_85))
-(assume a5 (! (forall ((?v0 Real) (?v1 Real)) (! (= ?v1 (! (snd$a (! (fun_app$b (! (pair$a ?v0) :named @p_102) ?v1) :named @p_105)) :named @p_107)) :named @p_109)) :named @p_101))
-(assume a6 (! (member$ (! (pair$ k$ g$) :named @p_403) one_chain_typeI$) :named @p_402))
-(assume a7 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (= bot$ (! (inf$ ?v0 (! (insert$ ?v1 ?v2) :named @p_1)) :named @p_122)) :named @p_124) (! (and (! (not (! (member$a ?v1 ?v0) :named @p_128)) :named @p_130) (! (= bot$ (! (inf$ ?v0 ?v2) :named @p_133)) :named @p_135)) :named @p_137)) :named @p_139)) :named @p_120))
-(assume a8 (! (finite$ bot$) :named @p_414))
-(assume a9 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$)) (! (=> (! (finite$ ?v0) :named @p_4) (! (finite$ (! (insert$ ?v1 ?v0) :named @p_160)) :named @p_162)) :named @p_164)) :named @p_157))
-(assume a10 (! (= i$ (! (fun_app$b (pair$a 1.0) 0.0) :named @p_417)) :named @p_499))
-(assume a11 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (=> (! (member$a ?v0 ?v1) :named @p_176) (! (= ?v1 (! (insert$ ?v0 ?v1) :named @p_2)) :named @p_181)) :named @p_183)) :named @p_175))
-(assume a12 (! (= j$ (! (fun_app$b (pair$a 0.0) 1.0) :named @p_419)) :named @p_500))
-(assume a13 (! (forall ((?v0 Real_real_prod_set$)) (! (= bot$ (! (inf$ ?v0 bot$) :named @p_196)) :named @p_198)) :named @p_195))
-(assume a14 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (insert$ ?v0 @p_1) :named @p_208) (! (insert$ ?v1 (! (insert$ ?v0 ?v2) :named @p_213)) :named @p_215)) :named @p_217)) :named @p_206))
-(assume a15 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (= @p_2 (! (sup$ @p_3 ?v1) :named @p_236)) :named @p_238)) :named @p_231))
-(assume a16 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod_real_real_prod_fun$) (?v2 Real_real_prod_set$) (?v3 Real_real_real_prod_fun$) (?v4 Real_real_prod_set$)) (! (=> (! (and @p_4 (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v2) :named @p_252) ?v3) :named @p_254) (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v4) :named @p_257) ?v3) :named @p_260) (! (and (! (= ?v0 (! (sup$ ?v2 ?v4) :named @p_265)) :named @p_267) (! (= bot$ (! (inf$ ?v2 ?v4) :named @p_269)) :named @p_271)) :named @p_273)) :named @p_275)) :named @p_277)) :named @p_279) (! (= (! (line_integral$ ?v1 ?v0 ?v3) :named @p_281) (! (+ (! (line_integral$ ?v1 ?v2 ?v3) :named @p_283) (! (line_integral$ ?v1 ?v4 ?v3) :named @p_285)) :named @p_287)) :named @p_289)) :named @p_291)) :named @p_250))
-(assume a17 (! (and (! (= (one_chain_line_integral$ f$ @p_5 one_chain_typeI$) (one_chain_line_integral$ f$ @p_5 one_chain_typeII$)) :named @p_337) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeI$) :named @p_9) (! (case_prod$ uu$ ?v0) :named @p_6)) :named @p_326)) :named @p_322) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeII$) :named @p_8) @p_6) :named @p_331)) :named @p_328)) :named @p_333)) :named @p_336))
-(assume a18 (! (and (! (= (one_chain_line_integral$ f$ @p_7 one_chain_typeII$) (one_chain_line_integral$ f$ @p_7 one_chain_typeI$)) :named @p_377) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_8 (! (case_prod$ uua$ ?v0) :named @p_10)) :named @p_366)) :named @p_362) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_9 @p_10) :named @p_371)) :named @p_368)) :named @p_373)) :named @p_376))
-(assume a19 (not (! (= (! (line_integral$ f$ (! (insert$ i$ @p_7) :named @p_407) g$) :named @p_462) (! (+ (! (line_integral$ f$ @p_5 g$) :named @p_404) (! (line_integral$ f$ @p_7 g$) :named @p_405)) :named @p_463)) :named @p_410)))
-(anchor :step t21 :args ((:= (?v0 Int) veriT_vr0)))
-(step t21.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
-(step t21.t2 (cl (= @p_13 (! (fun_app$ uua$ veriT_vr0) :named @p_14))) :rule cong :premises (t21.t1))
-(step t21.t3 (cl (= @p_15 (! (= @p_12 @p_14) :named @p_16))) :rule cong :premises (t21.t2))
-(step t21 (cl (! (= @p_11 (! (forall ((veriT_vr0 Int)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
-(step t22 (cl (not @p_17) (not @p_11) @p_18) :rule equiv_pos2)
-(step t23 (cl @p_18) :rule th_resolution :premises (a0 t21 t22))
-(anchor :step t24 :args ((:= (veriT_vr0 Int) veriT_vr1)))
-(step t24.t1 (cl (= veriT_vr0 veriT_vr1)) :rule refl)
-(step t24.t2 (cl (= @p_14 (! (fun_app$ uua$ veriT_vr1) :named @p_19))) :rule cong :premises (t24.t1))
-(step t24.t3 (cl (= @p_16 (! (= @p_12 @p_19) :named @p_20))) :rule cong :premises (t24.t2))
-(step t24 (cl (! (= @p_18 (! (forall ((veriT_vr1 Int)) @p_20) :named @p_22)) :named @p_21)) :rule bind)
-(step t25 (cl (not @p_21) (not @p_18) @p_22) :rule equiv_pos2)
-(step t26 (cl @p_22) :rule th_resolution :premises (t23 t24 t25))
-(anchor :step t27 :args ((:= (?v0 Int) veriT_vr2)))
-(step t27.t1 (cl (= ?v0 veriT_vr2)) :rule refl)
-(step t27.t2 (cl (= @p_25 (! (fun_app$ uu$ veriT_vr2) :named @p_26))) :rule cong :premises (t27.t1))
-(step t27.t3 (cl (= @p_27 (! (= @p_24 @p_26) :named @p_28))) :rule cong :premises (t27.t2))
-(step t27 (cl (! (= @p_23 (! (forall ((veriT_vr2 Int)) @p_28) :named @p_30)) :named @p_29)) :rule bind)
-(step t28 (cl (not @p_29) (not @p_23) @p_30) :rule equiv_pos2)
-(step t29 (cl @p_30) :rule th_resolution :premises (a1 t27 t28))
-(anchor :step t30 :args ((:= (veriT_vr2 Int) veriT_vr3)))
-(step t30.t1 (cl (= veriT_vr2 veriT_vr3)) :rule refl)
-(step t30.t2 (cl (= @p_26 (! (fun_app$ uu$ veriT_vr3) :named @p_31))) :rule cong :premises (t30.t1))
-(step t30.t3 (cl (= @p_28 (! (= @p_24 @p_31) :named @p_32))) :rule cong :premises (t30.t2))
-(step t30 (cl (! (= @p_30 (! (forall ((veriT_vr3 Int)) @p_32) :named @p_34)) :named @p_33)) :rule bind)
-(step t31 (cl (not @p_33) (not @p_30) @p_34) :rule equiv_pos2)
-(step t32 (cl @p_34) :rule th_resolution :premises (t29 t30 t31))
-(anchor :step t33 :args ((:= (?v0 Int_real_real_real_prod_fun_bool_fun_fun$) veriT_vr4) (:= (?v1 Int_real_real_real_prod_fun_prod$) veriT_vr5)))
-(step t33.t1 (cl (! (= ?v0 veriT_vr4) :named @p_38)) :rule refl)
-(step t33.t2 (cl (! (= ?v1 veriT_vr5) :named @p_39)) :rule refl)
-(step t33.t3 (cl (= @p_36 (! (case_prod$ veriT_vr4 veriT_vr5) :named @p_37))) :rule cong :premises (t33.t1 t33.t2))
-(step t33.t4 (cl @p_38) :rule refl)
-(step t33.t5 (cl @p_39) :rule refl)
-(step t33.t6 (cl (= @p_40 (! (fst$ veriT_vr5) :named @p_41))) :rule cong :premises (t33.t5))
-(step t33.t7 (cl (= @p_42 (! (fun_app$ veriT_vr4 @p_41) :named @p_43))) :rule cong :premises (t33.t4 t33.t6))
-(step t33.t8 (cl @p_39) :rule refl)
-(step t33.t9 (cl (= @p_44 (! (snd$ veriT_vr5) :named @p_45))) :rule cong :premises (t33.t8))
-(step t33.t10 (cl (= @p_46 (! (fun_app$a @p_43 @p_45) :named @p_47))) :rule cong :premises (t33.t7 t33.t9))
-(step t33.t11 (cl (= @p_48 (! (= @p_37 @p_47) :named @p_49))) :rule cong :premises (t33.t3 t33.t10))
-(step t33 (cl (! (= @p_35 (! (forall ((veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) (veriT_vr5 Int_real_real_real_prod_fun_prod$)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
-(step t34 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
-(step t35 (cl @p_51) :rule th_resolution :premises (a2 t33 t34))
-(anchor :step t36 :args ((:= (veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) veriT_vr6) (:= (veriT_vr5 Int_real_real_real_prod_fun_prod$) veriT_vr7)))
-(step t36.t1 (cl (! (= veriT_vr4 veriT_vr6) :named @p_53)) :rule refl)
-(step t36.t2 (cl (! (= veriT_vr5 veriT_vr7) :named @p_54)) :rule refl)
-(step t36.t3 (cl (= @p_37 (! (case_prod$ veriT_vr6 veriT_vr7) :named @p_52))) :rule cong :premises (t36.t1 t36.t2))
-(step t36.t4 (cl @p_53) :rule refl)
-(step t36.t5 (cl @p_54) :rule refl)
-(step t36.t6 (cl (= @p_41 (! (fst$ veriT_vr7) :named @p_55))) :rule cong :premises (t36.t5))
-(step t36.t7 (cl (= @p_43 (! (fun_app$ veriT_vr6 @p_55) :named @p_56))) :rule cong :premises (t36.t4 t36.t6))
-(step t36.t8 (cl @p_54) :rule refl)
-(step t36.t9 (cl (= @p_45 (! (snd$ veriT_vr7) :named @p_57))) :rule cong :premises (t36.t8))
-(step t36.t10 (cl (= @p_47 (! (fun_app$a @p_56 @p_57) :named @p_58))) :rule cong :premises (t36.t7 t36.t9))
-(step t36.t11 (cl (= @p_49 (! (= @p_52 @p_58) :named @p_59))) :rule cong :premises (t36.t3 t36.t10))
-(step t36 (cl (! (= @p_51 (! (forall ((veriT_vr6 Int_real_real_real_prod_fun_bool_fun_fun$) (veriT_vr7 Int_real_real_real_prod_fun_prod$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
-(step t37 (cl (not @p_60) (not @p_51) @p_61) :rule equiv_pos2)
-(step t38 (cl @p_61) :rule th_resolution :premises (t35 t36 t37))
-(anchor :step t39 :args ((:= (?v0 Real_real_prod$) veriT_vr8) (:= (?v1 Real_real_prod$) veriT_vr9)))
-(step t39.t1 (cl (! (= ?v0 veriT_vr8) :named @p_68)) :rule refl)
-(step t39.t2 (cl (= @p_3 (! (insert$ veriT_vr8 bot$) :named @p_63))) :rule cong :premises (t39.t1))
-(step t39.t3 (cl (! (= ?v1 veriT_vr9) :named @p_69)) :rule refl)
-(step t39.t4 (cl (= @p_64 (! (insert$ veriT_vr9 bot$) :named @p_65))) :rule cong :premises (t39.t3))
-(step t39.t5 (cl (= @p_66 (! (= @p_63 @p_65) :named @p_67))) :rule cong :premises (t39.t2 t39.t4))
-(step t39.t6 (cl @p_68) :rule refl)
-(step t39.t7 (cl @p_69) :rule refl)
-(step t39.t8 (cl (= @p_70 (! (= veriT_vr8 veriT_vr9) :named @p_71))) :rule cong :premises (t39.t6 t39.t7))
-(step t39.t9 (cl (= @p_72 (! (=> @p_67 @p_71) :named @p_73))) :rule cong :premises (t39.t5 t39.t8))
-(step t39 (cl (! (= @p_62 (! (forall ((veriT_vr8 Real_real_prod$) (veriT_vr9 Real_real_prod$)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
-(step t40 (cl (not @p_74) (not @p_62) @p_75) :rule equiv_pos2)
-(step t41 (cl @p_75) :rule th_resolution :premises (a3 t39 t40))
-(anchor :step t42 :args ((:= (veriT_vr8 Real_real_prod$) veriT_vr10) (:= (veriT_vr9 Real_real_prod$) veriT_vr11)))
-(step t42.t1 (cl (! (= veriT_vr8 veriT_vr10) :named @p_79)) :rule refl)
-(step t42.t2 (cl (= @p_63 (! (insert$ veriT_vr10 bot$) :named @p_76))) :rule cong :premises (t42.t1))
-(step t42.t3 (cl (! (= veriT_vr9 veriT_vr11) :named @p_80)) :rule refl)
-(step t42.t4 (cl (= @p_65 (! (insert$ veriT_vr11 bot$) :named @p_77))) :rule cong :premises (t42.t3))
-(step t42.t5 (cl (= @p_67 (! (= @p_76 @p_77) :named @p_78))) :rule cong :premises (t42.t2 t42.t4))
-(step t42.t6 (cl @p_79) :rule refl)
-(step t42.t7 (cl @p_80) :rule refl)
-(step t42.t8 (cl (= @p_71 (! (= veriT_vr10 veriT_vr11) :named @p_81))) :rule cong :premises (t42.t6 t42.t7))
-(step t42.t9 (cl (= @p_73 (! (=> @p_78 @p_81) :named @p_82))) :rule cong :premises (t42.t5 t42.t8))
-(step t42 (cl (! (= @p_75 (! (forall ((veriT_vr10 Real_real_prod$) (veriT_vr11 Real_real_prod$)) @p_82) :named @p_84)) :named @p_83)) :rule bind)
-(step t43 (cl (not @p_83) (not @p_75) @p_84) :rule equiv_pos2)
-(step t44 (cl @p_84) :rule th_resolution :premises (t41 t42 t43))
-(anchor :step t45 :args ((:= (?v0 Int) veriT_vr12) (:= (?v1 Real_real_real_prod_fun$) veriT_vr13)))
-(step t45.t1 (cl (! (= ?v1 veriT_vr13) :named @p_86)) :rule refl)
-(step t45.t2 (cl (= ?v0 veriT_vr12)) :rule refl)
-(step t45.t3 (cl @p_86) :rule refl)
-(step t45.t4 (cl (= @p_87 (! (pair$ veriT_vr12 veriT_vr13) :named @p_88))) :rule cong :premises (t45.t2 t45.t3))
-(step t45.t5 (cl (= @p_89 (! (snd$ @p_88) :named @p_90))) :rule cong :premises (t45.t4))
-(step t45.t6 (cl (= @p_91 (! (= veriT_vr13 @p_90) :named @p_92))) :rule cong :premises (t45.t1 t45.t5))
-(step t45 (cl (! (= @p_85 (! (forall ((veriT_vr12 Int) (veriT_vr13 Real_real_real_prod_fun$)) @p_92) :named @p_94)) :named @p_93)) :rule bind)
-(step t46 (cl (not @p_93) (not @p_85) @p_94) :rule equiv_pos2)
-(step t47 (cl @p_94) :rule th_resolution :premises (a4 t45 t46))
-(anchor :step t48 :args ((:= (veriT_vr12 Int) veriT_vr14) (:= (veriT_vr13 Real_real_real_prod_fun$) veriT_vr15)))
-(step t48.t1 (cl (! (= veriT_vr13 veriT_vr15) :named @p_95)) :rule refl)
-(step t48.t2 (cl (= veriT_vr12 veriT_vr14)) :rule refl)
-(step t48.t3 (cl @p_95) :rule refl)
-(step t48.t4 (cl (= @p_88 (! (pair$ veriT_vr14 veriT_vr15) :named @p_96))) :rule cong :premises (t48.t2 t48.t3))
-(step t48.t5 (cl (= @p_90 (! (snd$ @p_96) :named @p_97))) :rule cong :premises (t48.t4))
-(step t48.t6 (cl (= @p_92 (! (= veriT_vr15 @p_97) :named @p_98))) :rule cong :premises (t48.t1 t48.t5))
-(step t48 (cl (! (= @p_94 (! (forall ((veriT_vr14 Int) (veriT_vr15 Real_real_real_prod_fun$)) @p_98) :named @p_100)) :named @p_99)) :rule bind)
-(step t49 (cl (not @p_99) (not @p_94) @p_100) :rule equiv_pos2)
-(step t50 (cl @p_100) :rule th_resolution :premises (t47 t48 t49))
-(anchor :step t51 :args ((:= (?v0 Real) veriT_vr16) (:= (?v1 Real) veriT_vr17)))
-(step t51.t1 (cl (! (= ?v1 veriT_vr17) :named @p_104)) :rule refl)
-(step t51.t2 (cl (= ?v0 veriT_vr16)) :rule refl)
-(step t51.t3 (cl (= @p_102 (! (pair$a veriT_vr16) :named @p_103))) :rule cong :premises (t51.t2))
-(step t51.t4 (cl @p_104) :rule refl)
-(step t51.t5 (cl (= @p_105 (! (fun_app$b @p_103 veriT_vr17) :named @p_106))) :rule cong :premises (t51.t3 t51.t4))
-(step t51.t6 (cl (= @p_107 (! (snd$a @p_106) :named @p_108))) :rule cong :premises (t51.t5))
-(step t51.t7 (cl (= @p_109 (! (= veriT_vr17 @p_108) :named @p_110))) :rule cong :premises (t51.t1 t51.t6))
-(step t51 (cl (! (= @p_101 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_110) :named @p_112)) :named @p_111)) :rule bind)
-(step t52 (cl (not @p_111) (not @p_101) @p_112) :rule equiv_pos2)
-(step t53 (cl @p_112) :rule th_resolution :premises (a5 t51 t52))
-(anchor :step t54 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
-(step t54.t1 (cl (! (= veriT_vr17 veriT_vr19) :named @p_114)) :rule refl)
-(step t54.t2 (cl (= veriT_vr16 veriT_vr18)) :rule refl)
-(step t54.t3 (cl (= @p_103 (! (pair$a veriT_vr18) :named @p_113))) :rule cong :premises (t54.t2))
-(step t54.t4 (cl @p_114) :rule refl)
-(step t54.t5 (cl (= @p_106 (! (fun_app$b @p_113 veriT_vr19) :named @p_115))) :rule cong :premises (t54.t3 t54.t4))
-(step t54.t6 (cl (= @p_108 (! (snd$a @p_115) :named @p_116))) :rule cong :premises (t54.t5))
-(step t54.t7 (cl (= @p_110 (! (= veriT_vr19 @p_116) :named @p_117))) :rule cong :premises (t54.t1 t54.t6))
-(step t54 (cl (! (= @p_112 (! (forall ((veriT_vr18 Real) (veriT_vr19 Real)) @p_117) :named @p_119)) :named @p_118)) :rule bind)
-(step t55 (cl (not @p_118) (not @p_112) @p_119) :rule equiv_pos2)
-(step t56 (cl @p_119) :rule th_resolution :premises (t53 t54 t55))
-(anchor :step t57 :args ((:= (?v0 Real_real_prod_set$) veriT_vr20) (:= (?v1 Real_real_prod$) veriT_vr21) (:= (?v2 Real_real_prod_set$) veriT_vr22)))
-(step t57.t1 (cl (! (= ?v0 veriT_vr20) :named @p_127)) :rule refl)
-(step t57.t2 (cl (! (= ?v1 veriT_vr21) :named @p_126)) :rule refl)
-(step t57.t3 (cl (! (= ?v2 veriT_vr22) :named @p_132)) :rule refl)
-(step t57.t4 (cl (= @p_1 (! (insert$ veriT_vr21 veriT_vr22) :named @p_121))) :rule cong :premises (t57.t2 t57.t3))
-(step t57.t5 (cl (= @p_122 (! (inf$ veriT_vr20 @p_121) :named @p_123))) :rule cong :premises (t57.t1 t57.t4))
-(step t57.t6 (cl (= @p_124 (! (= bot$ @p_123) :named @p_125))) :rule cong :premises (t57.t5))
-(step t57.t7 (cl @p_126) :rule refl)
-(step t57.t8 (cl @p_127) :rule refl)
-(step t57.t9 (cl (= @p_128 (! (member$a veriT_vr21 veriT_vr20) :named @p_129))) :rule cong :premises (t57.t7 t57.t8))
-(step t57.t10 (cl (= @p_130 (! (not @p_129) :named @p_131))) :rule cong :premises (t57.t9))
-(step t57.t11 (cl @p_127) :rule refl)
-(step t57.t12 (cl @p_132) :rule refl)
-(step t57.t13 (cl (= @p_133 (! (inf$ veriT_vr20 veriT_vr22) :named @p_134))) :rule cong :premises (t57.t11 t57.t12))
-(step t57.t14 (cl (= @p_135 (! (= bot$ @p_134) :named @p_136))) :rule cong :premises (t57.t13))
-(step t57.t15 (cl (= @p_137 (! (and @p_131 @p_136) :named @p_138))) :rule cong :premises (t57.t10 t57.t14))
-(step t57.t16 (cl (= @p_139 (! (= @p_125 @p_138) :named @p_140))) :rule cong :premises (t57.t6 t57.t15))
-(step t57 (cl (! (= @p_120 (! (forall ((veriT_vr20 Real_real_prod_set$) (veriT_vr21 Real_real_prod$) (veriT_vr22 Real_real_prod_set$)) @p_140) :named @p_142)) :named @p_141)) :rule bind)
-(step t58 (cl (not @p_141) (not @p_120) @p_142) :rule equiv_pos2)
-(step t59 (cl @p_142) :rule th_resolution :premises (a7 t57 t58))
-(anchor :step t60 :args ((:= (veriT_vr20 Real_real_prod_set$) veriT_vr23) (:= (veriT_vr21 Real_real_prod$) veriT_vr24) (:= (veriT_vr22 Real_real_prod_set$) veriT_vr25)))
-(step t60.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_147)) :rule refl)
-(step t60.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_146)) :rule refl)
-(step t60.t3 (cl (! (= veriT_vr22 veriT_vr25) :named @p_150)) :rule refl)
-(step t60.t4 (cl (= @p_121 (! (insert$ veriT_vr24 veriT_vr25) :named @p_143))) :rule cong :premises (t60.t2 t60.t3))
-(step t60.t5 (cl (= @p_123 (! (inf$ veriT_vr23 @p_143) :named @p_144))) :rule cong :premises (t60.t1 t60.t4))
-(step t60.t6 (cl (= @p_125 (! (= bot$ @p_144) :named @p_145))) :rule cong :premises (t60.t5))
-(step t60.t7 (cl @p_146) :rule refl)
-(step t60.t8 (cl @p_147) :rule refl)
-(step t60.t9 (cl (= @p_129 (! (member$a veriT_vr24 veriT_vr23) :named @p_148))) :rule cong :premises (t60.t7 t60.t8))
-(step t60.t10 (cl (= @p_131 (! (not @p_148) :named @p_149))) :rule cong :premises (t60.t9))
-(step t60.t11 (cl @p_147) :rule refl)
-(step t60.t12 (cl @p_150) :rule refl)
-(step t60.t13 (cl (= @p_134 (! (inf$ veriT_vr23 veriT_vr25) :named @p_151))) :rule cong :premises (t60.t11 t60.t12))
-(step t60.t14 (cl (= @p_136 (! (= bot$ @p_151) :named @p_152))) :rule cong :premises (t60.t13))
-(step t60.t15 (cl (= @p_138 (! (and @p_149 @p_152) :named @p_153))) :rule cong :premises (t60.t10 t60.t14))
-(step t60.t16 (cl (= @p_140 (! (= @p_145 @p_153) :named @p_154))) :rule cong :premises (t60.t6 t60.t15))
-(step t60 (cl (! (= @p_142 (! (forall ((veriT_vr23 Real_real_prod_set$) (veriT_vr24 Real_real_prod$) (veriT_vr25 Real_real_prod_set$)) @p_154) :named @p_156)) :named @p_155)) :rule bind)
-(step t61 (cl (not @p_155) (not @p_142) @p_156) :rule equiv_pos2)
-(step t62 (cl @p_156) :rule th_resolution :premises (t59 t60 t61))
-(anchor :step t63 :args ((:= (?v0 Real_real_prod_set$) veriT_vr26) (:= (?v1 Real_real_prod$) veriT_vr27)))
-(step t63.t1 (cl (! (= ?v0 veriT_vr26) :named @p_159)) :rule refl)
-(step t63.t2 (cl (= @p_4 (! (finite$ veriT_vr26) :named @p_158))) :rule cong :premises (t63.t1))
-(step t63.t3 (cl (= ?v1 veriT_vr27)) :rule refl)
-(step t63.t4 (cl @p_159) :rule refl)
-(step t63.t5 (cl (= @p_160 (! (insert$ veriT_vr27 veriT_vr26) :named @p_161))) :rule cong :premises (t63.t3 t63.t4))
-(step t63.t6 (cl (= @p_162 (! (finite$ @p_161) :named @p_163))) :rule cong :premises (t63.t5))
-(step t63.t7 (cl (= @p_164 (! (=> @p_158 @p_163) :named @p_165))) :rule cong :premises (t63.t2 t63.t6))
-(step t63 (cl (! (= @p_157 (! (forall ((veriT_vr26 Real_real_prod_set$) (veriT_vr27 Real_real_prod$)) @p_165) :named @p_167)) :named @p_166)) :rule bind)
-(step t64 (cl (not @p_166) (not @p_157) @p_167) :rule equiv_pos2)
-(step t65 (cl @p_167) :rule th_resolution :premises (a9 t63 t64))
-(anchor :step t66 :args ((:= (veriT_vr26 Real_real_prod_set$) veriT_vr28) (:= (veriT_vr27 Real_real_prod$) veriT_vr29)))
-(step t66.t1 (cl (! (= veriT_vr26 veriT_vr28) :named @p_169)) :rule refl)
-(step t66.t2 (cl (= @p_158 (! (finite$ veriT_vr28) :named @p_168))) :rule cong :premises (t66.t1))
-(step t66.t3 (cl (= veriT_vr27 veriT_vr29)) :rule refl)
-(step t66.t4 (cl @p_169) :rule refl)
-(step t66.t5 (cl (= @p_161 (! (insert$ veriT_vr29 veriT_vr28) :named @p_170))) :rule cong :premises (t66.t3 t66.t4))
-(step t66.t6 (cl (= @p_163 (! (finite$ @p_170) :named @p_171))) :rule cong :premises (t66.t5))
-(step t66.t7 (cl (= @p_165 (! (=> @p_168 @p_171) :named @p_172))) :rule cong :premises (t66.t2 t66.t6))
-(step t66 (cl (! (= @p_167 (! (forall ((veriT_vr28 Real_real_prod_set$) (veriT_vr29 Real_real_prod$)) @p_172) :named @p_174)) :named @p_173)) :rule bind)
-(step t67 (cl (not @p_173) (not @p_167) @p_174) :rule equiv_pos2)
-(step t68 (cl @p_174) :rule th_resolution :premises (t65 t66 t67))
-(anchor :step t69 :args ((:= (?v0 Real_real_prod$) veriT_vr30) (:= (?v1 Real_real_prod_set$) veriT_vr31)))
-(step t69.t1 (cl (! (= ?v0 veriT_vr30) :named @p_179)) :rule refl)
-(step t69.t2 (cl (! (= ?v1 veriT_vr31) :named @p_178)) :rule refl)
-(step t69.t3 (cl (= @p_176 (! (member$a veriT_vr30 veriT_vr31) :named @p_177))) :rule cong :premises (t69.t1 t69.t2))
-(step t69.t4 (cl @p_178) :rule refl)
-(step t69.t5 (cl @p_179) :rule refl)
-(step t69.t6 (cl @p_178) :rule refl)
-(step t69.t7 (cl (= @p_2 (! (insert$ veriT_vr30 veriT_vr31) :named @p_180))) :rule cong :premises (t69.t5 t69.t6))
-(step t69.t8 (cl (= @p_181 (! (= veriT_vr31 @p_180) :named @p_182))) :rule cong :premises (t69.t4 t69.t7))
-(step t69.t9 (cl (= @p_183 (! (=> @p_177 @p_182) :named @p_184))) :rule cong :premises (t69.t3 t69.t8))
-(step t69 (cl (! (= @p_175 (! (forall ((veriT_vr30 Real_real_prod$) (veriT_vr31 Real_real_prod_set$)) @p_184) :named @p_186)) :named @p_185)) :rule bind)
-(step t70 (cl (not @p_185) (not @p_175) @p_186) :rule equiv_pos2)
-(step t71 (cl @p_186) :rule th_resolution :premises (a11 t69 t70))
-(anchor :step t72 :args ((:= (veriT_vr30 Real_real_prod$) veriT_vr32) (:= (veriT_vr31 Real_real_prod_set$) veriT_vr33)))
-(step t72.t1 (cl (! (= veriT_vr30 veriT_vr32) :named @p_189)) :rule refl)
-(step t72.t2 (cl (! (= veriT_vr31 veriT_vr33) :named @p_188)) :rule refl)
-(step t72.t3 (cl (= @p_177 (! (member$a veriT_vr32 veriT_vr33) :named @p_187))) :rule cong :premises (t72.t1 t72.t2))
-(step t72.t4 (cl @p_188) :rule refl)
-(step t72.t5 (cl @p_189) :rule refl)
-(step t72.t6 (cl @p_188) :rule refl)
-(step t72.t7 (cl (= @p_180 (! (insert$ veriT_vr32 veriT_vr33) :named @p_190))) :rule cong :premises (t72.t5 t72.t6))
-(step t72.t8 (cl (= @p_182 (! (= veriT_vr33 @p_190) :named @p_191))) :rule cong :premises (t72.t4 t72.t7))
-(step t72.t9 (cl (= @p_184 (! (=> @p_187 @p_191) :named @p_192))) :rule cong :premises (t72.t3 t72.t8))
-(step t72 (cl (! (= @p_186 (! (forall ((veriT_vr32 Real_real_prod$) (veriT_vr33 Real_real_prod_set$)) @p_192) :named @p_194)) :named @p_193)) :rule bind)
-(step t73 (cl (not @p_193) (not @p_186) @p_194) :rule equiv_pos2)
-(step t74 (cl @p_194) :rule th_resolution :premises (t71 t72 t73))
-(anchor :step t75 :args ((:= (?v0 Real_real_prod_set$) veriT_vr34)))
-(step t75.t1 (cl (= ?v0 veriT_vr34)) :rule refl)
-(step t75.t2 (cl (= @p_196 (! (inf$ veriT_vr34 bot$) :named @p_197))) :rule cong :premises (t75.t1))
-(step t75.t3 (cl (= @p_198 (! (= bot$ @p_197) :named @p_199))) :rule cong :premises (t75.t2))
-(step t75 (cl (! (= @p_195 (! (forall ((veriT_vr34 Real_real_prod_set$)) @p_199) :named @p_201)) :named @p_200)) :rule bind)
-(step t76 (cl (not @p_200) (not @p_195) @p_201) :rule equiv_pos2)
-(step t77 (cl @p_201) :rule th_resolution :premises (a13 t75 t76))
-(anchor :step t78 :args ((:= (veriT_vr34 Real_real_prod_set$) veriT_vr35)))
-(step t78.t1 (cl (= veriT_vr34 veriT_vr35)) :rule refl)
-(step t78.t2 (cl (= @p_197 (! (inf$ veriT_vr35 bot$) :named @p_202))) :rule cong :premises (t78.t1))
-(step t78.t3 (cl (= @p_199 (! (= bot$ @p_202) :named @p_203))) :rule cong :premises (t78.t2))
-(step t78 (cl (! (= @p_201 (! (forall ((veriT_vr35 Real_real_prod_set$)) @p_203) :named @p_205)) :named @p_204)) :rule bind)
-(step t79 (cl (not @p_204) (not @p_201) @p_205) :rule equiv_pos2)
-(step t80 (cl @p_205) :rule th_resolution :premises (t77 t78 t79))
-(anchor :step t81 :args ((:= (?v0 Real_real_prod$) veriT_vr36) (:= (?v1 Real_real_prod$) veriT_vr37) (:= (?v2 Real_real_prod_set$) veriT_vr38)))
-(step t81.t1 (cl (! (= ?v0 veriT_vr36) :named @p_211)) :rule refl)
-(step t81.t2 (cl (! (= ?v1 veriT_vr37) :named @p_210)) :rule refl)
-(step t81.t3 (cl (! (= ?v2 veriT_vr38) :named @p_212)) :rule refl)
-(step t81.t4 (cl (= @p_1 (! (insert$ veriT_vr37 veriT_vr38) :named @p_207))) :rule cong :premises (t81.t2 t81.t3))
-(step t81.t5 (cl (= @p_208 (! (insert$ veriT_vr36 @p_207) :named @p_209))) :rule cong :premises (t81.t1 t81.t4))
-(step t81.t6 (cl @p_210) :rule refl)
-(step t81.t7 (cl @p_211) :rule refl)
-(step t81.t8 (cl @p_212) :rule refl)
-(step t81.t9 (cl (= @p_213 (! (insert$ veriT_vr36 veriT_vr38) :named @p_214))) :rule cong :premises (t81.t7 t81.t8))
-(step t81.t10 (cl (= @p_215 (! (insert$ veriT_vr37 @p_214) :named @p_216))) :rule cong :premises (t81.t6 t81.t9))
-(step t81.t11 (cl (= @p_217 (! (= @p_209 @p_216) :named @p_218))) :rule cong :premises (t81.t5 t81.t10))
-(step t81 (cl (! (= @p_206 (! (forall ((veriT_vr36 Real_real_prod$) (veriT_vr37 Real_real_prod$) (veriT_vr38 Real_real_prod_set$)) @p_218) :named @p_220)) :named @p_219)) :rule bind)
-(step t82 (cl (not @p_219) (not @p_206) @p_220) :rule equiv_pos2)
-(step t83 (cl @p_220) :rule th_resolution :premises (a14 t81 t82))
-(anchor :step t84 :args ((:= (veriT_vr36 Real_real_prod$) veriT_vr39) (:= (veriT_vr37 Real_real_prod$) veriT_vr40) (:= (veriT_vr38 Real_real_prod_set$) veriT_vr41)))
-(step t84.t1 (cl (! (= veriT_vr36 veriT_vr39) :named @p_224)) :rule refl)
-(step t84.t2 (cl (! (= veriT_vr37 veriT_vr40) :named @p_223)) :rule refl)
-(step t84.t3 (cl (! (= veriT_vr38 veriT_vr41) :named @p_225)) :rule refl)
-(step t84.t4 (cl (= @p_207 (! (insert$ veriT_vr40 veriT_vr41) :named @p_221))) :rule cong :premises (t84.t2 t84.t3))
-(step t84.t5 (cl (= @p_209 (! (insert$ veriT_vr39 @p_221) :named @p_222))) :rule cong :premises (t84.t1 t84.t4))
-(step t84.t6 (cl @p_223) :rule refl)
-(step t84.t7 (cl @p_224) :rule refl)
-(step t84.t8 (cl @p_225) :rule refl)
-(step t84.t9 (cl (= @p_214 (! (insert$ veriT_vr39 veriT_vr41) :named @p_226))) :rule cong :premises (t84.t7 t84.t8))
-(step t84.t10 (cl (= @p_216 (! (insert$ veriT_vr40 @p_226) :named @p_227))) :rule cong :premises (t84.t6 t84.t9))
-(step t84.t11 (cl (= @p_218 (! (= @p_222 @p_227) :named @p_228))) :rule cong :premises (t84.t5 t84.t10))
-(step t84 (cl (! (= @p_220 (! (forall ((veriT_vr39 Real_real_prod$) (veriT_vr40 Real_real_prod$) (veriT_vr41 Real_real_prod_set$)) @p_228) :named @p_230)) :named @p_229)) :rule bind)
-(step t85 (cl (not @p_229) (not @p_220) @p_230) :rule equiv_pos2)
-(step t86 (cl @p_230) :rule th_resolution :premises (t83 t84 t85))
-(anchor :step t87 :args ((:= (?v0 Real_real_prod$) veriT_vr42) (:= (?v1 Real_real_prod_set$) veriT_vr43)))
-(step t87.t1 (cl (! (= ?v0 veriT_vr42) :named @p_233)) :rule refl)
-(step t87.t2 (cl (! (= ?v1 veriT_vr43) :named @p_235)) :rule refl)
-(step t87.t3 (cl (= @p_2 (! (insert$ veriT_vr42 veriT_vr43) :named @p_232))) :rule cong :premises (t87.t1 t87.t2))
-(step t87.t4 (cl @p_233) :rule refl)
-(step t87.t5 (cl (= @p_3 (! (insert$ veriT_vr42 bot$) :named @p_234))) :rule cong :premises (t87.t4))
-(step t87.t6 (cl @p_235) :rule refl)
-(step t87.t7 (cl (= @p_236 (! (sup$ @p_234 veriT_vr43) :named @p_237))) :rule cong :premises (t87.t5 t87.t6))
-(step t87.t8 (cl (= @p_238 (! (= @p_232 @p_237) :named @p_239))) :rule cong :premises (t87.t3 t87.t7))
-(step t87 (cl (! (= @p_231 (! (forall ((veriT_vr42 Real_real_prod$) (veriT_vr43 Real_real_prod_set$)) @p_239) :named @p_241)) :named @p_240)) :rule bind)
-(step t88 (cl (not @p_240) (not @p_231) @p_241) :rule equiv_pos2)
-(step t89 (cl @p_241) :rule th_resolution :premises (a15 t87 t88))
-(anchor :step t90 :args ((:= (veriT_vr42 Real_real_prod$) veriT_vr44) (:= (veriT_vr43 Real_real_prod_set$) veriT_vr45)))
-(step t90.t1 (cl (! (= veriT_vr42 veriT_vr44) :named @p_243)) :rule refl)
-(step t90.t2 (cl (! (= veriT_vr43 veriT_vr45) :named @p_245)) :rule refl)
-(step t90.t3 (cl (= @p_232 (! (insert$ veriT_vr44 veriT_vr45) :named @p_242))) :rule cong :premises (t90.t1 t90.t2))
-(step t90.t4 (cl @p_243) :rule refl)
-(step t90.t5 (cl (= @p_234 (! (insert$ veriT_vr44 bot$) :named @p_244))) :rule cong :premises (t90.t4))
-(step t90.t6 (cl @p_245) :rule refl)
-(step t90.t7 (cl (= @p_237 (! (sup$ @p_244 veriT_vr45) :named @p_246))) :rule cong :premises (t90.t5 t90.t6))
-(step t90.t8 (cl (= @p_239 (! (= @p_242 @p_246) :named @p_247))) :rule cong :premises (t90.t3 t90.t7))
-(step t90 (cl (! (= @p_241 (! (forall ((veriT_vr44 Real_real_prod$) (veriT_vr45 Real_real_prod_set$)) @p_247) :named @p_249)) :named @p_248)) :rule bind)
-(step t91 (cl (not @p_248) (not @p_241) @p_249) :rule equiv_pos2)
-(step t92 (cl @p_249) :rule th_resolution :premises (t89 t90 t91))
-(anchor :step t93 :args ((:= (?v0 Real_real_prod_set$) veriT_vr46) (:= (?v1 Real_real_prod_real_real_prod_fun$) veriT_vr47) (:= (?v2 Real_real_prod_set$) veriT_vr48) (:= (?v3 Real_real_real_prod_fun$) veriT_vr49) (:= (?v4 Real_real_prod_set$) veriT_vr50)))
-(step t93.t1 (cl (! (= ?v0 veriT_vr46) :named @p_262)) :rule refl)
-(step t93.t2 (cl (= @p_4 (! (finite$ veriT_vr46) :named @p_251))) :rule cong :premises (t93.t1))
-(step t93.t3 (cl (! (= ?v1 veriT_vr47) :named @p_256)) :rule refl)
-(step t93.t4 (cl (! (= ?v2 veriT_vr48) :named @p_263)) :rule refl)
-(step t93.t5 (cl (= @p_252 (! (line_integral_exists$ veriT_vr47 veriT_vr48) :named @p_253))) :rule cong :premises (t93.t3 t93.t4))
-(step t93.t6 (cl (! (= ?v3 veriT_vr49) :named @p_259)) :rule refl)
-(step t93.t7 (cl (= @p_254 (! (fun_app$a @p_253 veriT_vr49) :named @p_255))) :rule cong :premises (t93.t5 t93.t6))
-(step t93.t8 (cl @p_256) :rule refl)
-(step t93.t9 (cl (! (= ?v4 veriT_vr50) :named @p_264)) :rule refl)
-(step t93.t10 (cl (= @p_257 (! (line_integral_exists$ veriT_vr47 veriT_vr50) :named @p_258))) :rule cong :premises (t93.t8 t93.t9))
-(step t93.t11 (cl @p_259) :rule refl)
-(step t93.t12 (cl (= @p_260 (! (fun_app$a @p_258 veriT_vr49) :named @p_261))) :rule cong :premises (t93.t10 t93.t11))
-(step t93.t13 (cl @p_262) :rule refl)
-(step t93.t14 (cl @p_263) :rule refl)
-(step t93.t15 (cl @p_264) :rule refl)
-(step t93.t16 (cl (= @p_265 (! (sup$ veriT_vr48 veriT_vr50) :named @p_266))) :rule cong :premises (t93.t14 t93.t15))
-(step t93.t17 (cl (= @p_267 (! (= veriT_vr46 @p_266) :named @p_268))) :rule cong :premises (t93.t13 t93.t16))
-(step t93.t18 (cl @p_263) :rule refl)
-(step t93.t19 (cl @p_264) :rule refl)
-(step t93.t20 (cl (= @p_269 (! (inf$ veriT_vr48 veriT_vr50) :named @p_270))) :rule cong :premises (t93.t18 t93.t19))
-(step t93.t21 (cl (= @p_271 (! (= bot$ @p_270) :named @p_272))) :rule cong :premises (t93.t20))
-(step t93.t22 (cl (= @p_273 (! (and @p_268 @p_272) :named @p_274))) :rule cong :premises (t93.t17 t93.t21))
-(step t93.t23 (cl (= @p_275 (! (and @p_261 @p_274) :named @p_276))) :rule cong :premises (t93.t12 t93.t22))
-(step t93.t24 (cl (= @p_277 (! (and @p_255 @p_276) :named @p_278))) :rule cong :premises (t93.t7 t93.t23))
-(step t93.t25 (cl (= @p_279 (! (and @p_251 @p_278) :named @p_280))) :rule cong :premises (t93.t2 t93.t24))
-(step t93.t26 (cl @p_256) :rule refl)
-(step t93.t27 (cl @p_262) :rule refl)
-(step t93.t28 (cl @p_259) :rule refl)
-(step t93.t29 (cl (= @p_281 (! (line_integral$ veriT_vr47 veriT_vr46 veriT_vr49) :named @p_282))) :rule cong :premises (t93.t26 t93.t27 t93.t28))
-(step t93.t30 (cl @p_256) :rule refl)
-(step t93.t31 (cl @p_263) :rule refl)
-(step t93.t32 (cl @p_259) :rule refl)
-(step t93.t33 (cl (= @p_283 (! (line_integral$ veriT_vr47 veriT_vr48 veriT_vr49) :named @p_284))) :rule cong :premises (t93.t30 t93.t31 t93.t32))
-(step t93.t34 (cl @p_256) :rule refl)
-(step t93.t35 (cl @p_264) :rule refl)
-(step t93.t36 (cl @p_259) :rule refl)
-(step t93.t37 (cl (= @p_285 (! (line_integral$ veriT_vr47 veriT_vr50 veriT_vr49) :named @p_286))) :rule cong :premises (t93.t34 t93.t35 t93.t36))
-(step t93.t38 (cl (= @p_287 (! (+ @p_284 @p_286) :named @p_288))) :rule cong :premises (t93.t33 t93.t37))
-(step t93.t39 (cl (= @p_289 (! (= @p_282 @p_288) :named @p_290))) :rule cong :premises (t93.t29 t93.t38))
-(step t93.t40 (cl (= @p_291 (! (=> @p_280 @p_290) :named @p_292))) :rule cong :premises (t93.t25 t93.t39))
-(step t93 (cl (! (= @p_250 (! (forall ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)) @p_292) :named @p_294)) :named @p_293)) :rule bind)
-(step t94 (cl (not @p_293) (not @p_250) @p_294) :rule equiv_pos2)
-(step t95 (cl @p_294) :rule th_resolution :premises (a16 t93 t94))
-(anchor :step t96 :args ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)))
-(step t96.t1 (cl (= @p_280 (! (and @p_251 @p_255 @p_261 @p_268 @p_272) :named @p_295))) :rule ac_simp)
-(step t96.t2 (cl (= @p_292 (! (=> @p_295 @p_290) :named @p_296))) :rule cong :premises (t96.t1))
-(step t96 (cl (! (= @p_294 (! (forall ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)) @p_296) :named @p_298)) :named @p_297)) :rule bind)
-(step t97 (cl (not @p_297) (not @p_294) @p_298) :rule equiv_pos2)
-(step t98 (cl @p_298) :rule th_resolution :premises (t95 t96 t97))
-(anchor :step t99 :args ((:= (veriT_vr46 Real_real_prod_set$) veriT_vr51) (:= (veriT_vr47 Real_real_prod_real_real_prod_fun$) veriT_vr52) (:= (veriT_vr48 Real_real_prod_set$) veriT_vr53) (:= (veriT_vr49 Real_real_real_prod_fun$) veriT_vr54) (:= (veriT_vr50 Real_real_prod_set$) veriT_vr55)))
-(step t99.t1 (cl (! (= veriT_vr46 veriT_vr51) :named @p_306)) :rule refl)
-(step t99.t2 (cl (= @p_251 (! (finite$ veriT_vr51) :named @p_299))) :rule cong :premises (t99.t1))
-(step t99.t3 (cl (! (= veriT_vr47 veriT_vr52) :named @p_302)) :rule refl)
-(step t99.t4 (cl (! (= veriT_vr48 veriT_vr53) :named @p_307)) :rule refl)
-(step t99.t5 (cl (= @p_253 (! (line_integral_exists$ veriT_vr52 veriT_vr53) :named @p_300))) :rule cong :premises (t99.t3 t99.t4))
-(step t99.t6 (cl (! (= veriT_vr49 veriT_vr54) :named @p_304)) :rule refl)
-(step t99.t7 (cl (= @p_255 (! (fun_app$a @p_300 veriT_vr54) :named @p_301))) :rule cong :premises (t99.t5 t99.t6))
-(step t99.t8 (cl @p_302) :rule refl)
-(step t99.t9 (cl (! (= veriT_vr50 veriT_vr55) :named @p_308)) :rule refl)
-(step t99.t10 (cl (= @p_258 (! (line_integral_exists$ veriT_vr52 veriT_vr55) :named @p_303))) :rule cong :premises (t99.t8 t99.t9))
-(step t99.t11 (cl @p_304) :rule refl)
-(step t99.t12 (cl (= @p_261 (! (fun_app$a @p_303 veriT_vr54) :named @p_305))) :rule cong :premises (t99.t10 t99.t11))
-(step t99.t13 (cl @p_306) :rule refl)
-(step t99.t14 (cl @p_307) :rule refl)
-(step t99.t15 (cl @p_308) :rule refl)
-(step t99.t16 (cl (= @p_266 (! (sup$ veriT_vr53 veriT_vr55) :named @p_309))) :rule cong :premises (t99.t14 t99.t15))
-(step t99.t17 (cl (= @p_268 (! (= veriT_vr51 @p_309) :named @p_310))) :rule cong :premises (t99.t13 t99.t16))
-(step t99.t18 (cl @p_307) :rule refl)
-(step t99.t19 (cl @p_308) :rule refl)
-(step t99.t20 (cl (= @p_270 (! (inf$ veriT_vr53 veriT_vr55) :named @p_311))) :rule cong :premises (t99.t18 t99.t19))
-(step t99.t21 (cl (= @p_272 (! (= bot$ @p_311) :named @p_312))) :rule cong :premises (t99.t20))
-(step t99.t22 (cl (= @p_295 (! (and @p_299 @p_301 @p_305 @p_310 @p_312) :named @p_313))) :rule cong :premises (t99.t2 t99.t7 t99.t12 t99.t17 t99.t21))
-(step t99.t23 (cl @p_302) :rule refl)
-(step t99.t24 (cl @p_306) :rule refl)
-(step t99.t25 (cl @p_304) :rule refl)
-(step t99.t26 (cl (= @p_282 (! (line_integral$ veriT_vr52 veriT_vr51 veriT_vr54) :named @p_314))) :rule cong :premises (t99.t23 t99.t24 t99.t25))
-(step t99.t27 (cl @p_302) :rule refl)
-(step t99.t28 (cl @p_307) :rule refl)
-(step t99.t29 (cl @p_304) :rule refl)
-(step t99.t30 (cl (= @p_284 (! (line_integral$ veriT_vr52 veriT_vr53 veriT_vr54) :named @p_315))) :rule cong :premises (t99.t27 t99.t28 t99.t29))
-(step t99.t31 (cl @p_302) :rule refl)
-(step t99.t32 (cl @p_308) :rule refl)
-(step t99.t33 (cl @p_304) :rule refl)
-(step t99.t34 (cl (= @p_286 (! (line_integral$ veriT_vr52 veriT_vr55 veriT_vr54) :named @p_316))) :rule cong :premises (t99.t31 t99.t32 t99.t33))
-(step t99.t35 (cl (= @p_288 (! (+ @p_315 @p_316) :named @p_317))) :rule cong :premises (t99.t30 t99.t34))
-(step t99.t36 (cl (= @p_290 (! (= @p_314 @p_317) :named @p_318))) :rule cong :premises (t99.t26 t99.t35))
-(step t99.t37 (cl (= @p_296 (! (=> @p_313 @p_318) :named @p_319))) :rule cong :premises (t99.t22 t99.t36))
-(step t99 (cl (! (= @p_298 (! (forall ((veriT_vr51 Real_real_prod_set$) (veriT_vr52 Real_real_prod_real_real_prod_fun$) (veriT_vr53 Real_real_prod_set$) (veriT_vr54 Real_real_real_prod_fun$) (veriT_vr55 Real_real_prod_set$)) @p_319) :named @p_321)) :named @p_320)) :rule bind)
-(step t100 (cl (not @p_320) (not @p_298) @p_321) :rule equiv_pos2)
-(step t101 (cl @p_321) :rule th_resolution :premises (t98 t99 t100))
-(anchor :step t102 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr56)))
-(step t102.t1 (cl (! (= ?v0 veriT_vr56) :named @p_324)) :rule refl)
-(step t102.t2 (cl (= @p_9 (! (member$ veriT_vr56 one_chain_typeI$) :named @p_323))) :rule cong :premises (t102.t1))
-(step t102.t3 (cl @p_324) :rule refl)
-(step t102.t4 (cl (! (= @p_6 (! (case_prod$ uu$ veriT_vr56) :named @p_325)) :named @p_330)) :rule cong :premises (t102.t3))
-(step t102.t5 (cl (= @p_326 (! (=> @p_323 @p_325) :named @p_327))) :rule cong :premises (t102.t2 t102.t4))
-(step t102 (cl (= @p_322 (! (forall ((veriT_vr56 Int_real_real_real_prod_fun_prod$)) @p_327) :named @p_334))) :rule bind)
-(anchor :step t103 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr56)))
-(step t103.t1 (cl @p_324) :rule refl)
-(step t103.t2 (cl (= @p_8 (! (member$ veriT_vr56 one_chain_typeII$) :named @p_329))) :rule cong :premises (t103.t1))
-(step t103.t3 (cl @p_324) :rule refl)
-(step t103.t4 (cl @p_330) :rule cong :premises (t103.t3))
-(step t103.t5 (cl (= @p_331 (! (=> @p_329 @p_325) :named @p_332))) :rule cong :premises (t103.t2 t103.t4))
-(step t103 (cl (= @p_328 (! (forall ((veriT_vr56 Int_real_real_real_prod_fun_prod$)) @p_332) :named @p_335))) :rule bind)
-(step t104 (cl (= @p_333 (! (and @p_334 @p_335) :named @p_338))) :rule cong :premises (t102 t103))
-(step t105 (cl (! (= @p_336 (! (and @p_337 @p_338) :named @p_340)) :named @p_339)) :rule cong :premises (t104))
-(step t106 (cl (not @p_339) (not @p_336) @p_340) :rule equiv_pos2)
-(step t107 (cl @p_340) :rule th_resolution :premises (a17 t105 t106))
-(step t108 (cl (! (= @p_340 (! (and @p_337 @p_334 @p_335) :named @p_342)) :named @p_341)) :rule ac_simp)
-(step t109 (cl (not @p_341) (not @p_340) @p_342) :rule equiv_pos2)
-(step t110 (cl @p_342) :rule th_resolution :premises (t107 t108 t109))
-(anchor :step t111 :args ((:= (veriT_vr56 Int_real_real_real_prod_fun_prod$) veriT_vr57)))
-(step t111.t1 (cl (! (= veriT_vr56 veriT_vr57) :named @p_344)) :rule refl)
-(step t111.t2 (cl (= @p_329 (! (member$ veriT_vr57 one_chain_typeII$) :named @p_343))) :rule cong :premises (t111.t1))
-(step t111.t3 (cl @p_344) :rule refl)
-(step t111.t4 (cl (= @p_325 (! (case_prod$ uu$ veriT_vr57) :named @p_345))) :rule cong :premises (t111.t3))
-(step t111.t5 (cl (= @p_332 (! (=> @p_343 @p_345) :named @p_346))) :rule cong :premises (t111.t2 t111.t4))
-(step t111 (cl (= @p_335 (! (forall ((veriT_vr57 Int_real_real_real_prod_fun_prod$)) @p_346) :named @p_347))) :rule bind)
-(step t112 (cl (! (= @p_342 (! (and @p_337 @p_334 @p_347) :named @p_349)) :named @p_348)) :rule cong :premises (t111))
-(step t113 (cl (not @p_348) (not @p_342) @p_349) :rule equiv_pos2)
-(step t114 (cl @p_349) :rule th_resolution :premises (t110 t112 t113))
-(anchor :step t115 :args ((:= (veriT_vr56 Int_real_real_real_prod_fun_prod$) veriT_vr58)))
-(step t115.t1 (cl (! (= veriT_vr56 veriT_vr58) :named @p_351)) :rule refl)
-(step t115.t2 (cl (= @p_323 (! (member$ veriT_vr58 one_chain_typeI$) :named @p_350))) :rule cong :premises (t115.t1))
-(step t115.t3 (cl @p_351) :rule refl)
-(step t115.t4 (cl (= @p_325 (! (case_prod$ uu$ veriT_vr58) :named @p_352))) :rule cong :premises (t115.t3))
-(step t115.t5 (cl (= @p_327 (! (=> @p_350 @p_352) :named @p_353))) :rule cong :premises (t115.t2 t115.t4))
-(step t115 (cl (= @p_334 (! (forall ((veriT_vr58 Int_real_real_real_prod_fun_prod$)) @p_353) :named @p_358))) :rule bind)
-(anchor :step t116 :args ((:= (veriT_vr57 Int_real_real_real_prod_fun_prod$) veriT_vr59)))
-(step t116.t1 (cl (! (= veriT_vr57 veriT_vr59) :named @p_355)) :rule refl)
-(step t116.t2 (cl (= @p_343 (! (member$ veriT_vr59 one_chain_typeII$) :named @p_354))) :rule cong :premises (t116.t1))
-(step t116.t3 (cl @p_355) :rule refl)
-(step t116.t4 (cl (= @p_345 (! (case_prod$ uu$ veriT_vr59) :named @p_356))) :rule cong :premises (t116.t3))
-(step t116.t5 (cl (= @p_346 (! (=> @p_354 @p_356) :named @p_357))) :rule cong :premises (t116.t2 t116.t4))
-(step t116 (cl (= @p_347 (! (forall ((veriT_vr59 Int_real_real_real_prod_fun_prod$)) @p_357) :named @p_359))) :rule bind)
-(step t117 (cl (! (= @p_349 (! (and @p_337 @p_358 @p_359) :named @p_361)) :named @p_360)) :rule cong :premises (t115 t116))
-(step t118 (cl (not @p_360) (not @p_349) @p_361) :rule equiv_pos2)
-(step t119 (cl @p_361) :rule th_resolution :premises (t114 t117 t118))
-(anchor :step t120 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr60)))
-(step t120.t1 (cl (! (= ?v0 veriT_vr60) :named @p_364)) :rule refl)
-(step t120.t2 (cl (= @p_8 (! (member$ veriT_vr60 one_chain_typeII$) :named @p_363))) :rule cong :premises (t120.t1))
-(step t120.t3 (cl @p_364) :rule refl)
-(step t120.t4 (cl (! (= @p_10 (! (case_prod$ uua$ veriT_vr60) :named @p_365)) :named @p_370)) :rule cong :premises (t120.t3))
-(step t120.t5 (cl (= @p_366 (! (=> @p_363 @p_365) :named @p_367))) :rule cong :premises (t120.t2 t120.t4))
-(step t120 (cl (= @p_362 (! (forall ((veriT_vr60 Int_real_real_real_prod_fun_prod$)) @p_367) :named @p_374))) :rule bind)
-(anchor :step t121 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr60)))
-(step t121.t1 (cl @p_364) :rule refl)
-(step t121.t2 (cl (= @p_9 (! (member$ veriT_vr60 one_chain_typeI$) :named @p_369))) :rule cong :premises (t121.t1))
-(step t121.t3 (cl @p_364) :rule refl)
-(step t121.t4 (cl @p_370) :rule cong :premises (t121.t3))
-(step t121.t5 (cl (= @p_371 (! (=> @p_369 @p_365) :named @p_372))) :rule cong :premises (t121.t2 t121.t4))
-(step t121 (cl (= @p_368 (! (forall ((veriT_vr60 Int_real_real_real_prod_fun_prod$)) @p_372) :named @p_375))) :rule bind)
-(step t122 (cl (= @p_373 (! (and @p_374 @p_375) :named @p_378))) :rule cong :premises (t120 t121))
-(step t123 (cl (! (= @p_376 (! (and @p_377 @p_378) :named @p_380)) :named @p_379)) :rule cong :premises (t122))
-(step t124 (cl (not @p_379) (not @p_376) @p_380) :rule equiv_pos2)
-(step t125 (cl @p_380) :rule th_resolution :premises (a18 t123 t124))
-(step t126 (cl (! (= @p_380 (! (and @p_377 @p_374 @p_375) :named @p_382)) :named @p_381)) :rule ac_simp)
-(step t127 (cl (not @p_381) (not @p_380) @p_382) :rule equiv_pos2)
-(step t128 (cl @p_382) :rule th_resolution :premises (t125 t126 t127))
-(anchor :step t129 :args ((:= (veriT_vr60 Int_real_real_real_prod_fun_prod$) veriT_vr61)))
-(step t129.t1 (cl (! (= veriT_vr60 veriT_vr61) :named @p_384)) :rule refl)
-(step t129.t2 (cl (= @p_369 (! (member$ veriT_vr61 one_chain_typeI$) :named @p_383))) :rule cong :premises (t129.t1))
-(step t129.t3 (cl @p_384) :rule refl)
-(step t129.t4 (cl (= @p_365 (! (case_prod$ uua$ veriT_vr61) :named @p_385))) :rule cong :premises (t129.t3))
-(step t129.t5 (cl (= @p_372 (! (=> @p_383 @p_385) :named @p_386))) :rule cong :premises (t129.t2 t129.t4))
-(step t129 (cl (= @p_375 (! (forall ((veriT_vr61 Int_real_real_real_prod_fun_prod$)) @p_386) :named @p_387))) :rule bind)
-(step t130 (cl (! (= @p_382 (! (and @p_377 @p_374 @p_387) :named @p_389)) :named @p_388)) :rule cong :premises (t129))
-(step t131 (cl (not @p_388) (not @p_382) @p_389) :rule equiv_pos2)
-(step t132 (cl @p_389) :rule th_resolution :premises (t128 t130 t131))
-(anchor :step t133 :args ((:= (veriT_vr60 Int_real_real_real_prod_fun_prod$) veriT_vr62)))
-(step t133.t1 (cl (! (= veriT_vr60 veriT_vr62) :named @p_391)) :rule refl)
-(step t133.t2 (cl (= @p_363 (! (member$ veriT_vr62 one_chain_typeII$) :named @p_390))) :rule cong :premises (t133.t1))
-(step t133.t3 (cl @p_391) :rule refl)
-(step t133.t4 (cl (= @p_365 (! (case_prod$ uua$ veriT_vr62) :named @p_392))) :rule cong :premises (t133.t3))
-(step t133.t5 (cl (= @p_367 (! (=> @p_390 @p_392) :named @p_393))) :rule cong :premises (t133.t2 t133.t4))
-(step t133 (cl (= @p_374 (! (forall ((veriT_vr62 Int_real_real_real_prod_fun_prod$)) @p_393) :named @p_398))) :rule bind)
-(anchor :step t134 :args ((:= (veriT_vr61 Int_real_real_real_prod_fun_prod$) veriT_vr63)))
-(step t134.t1 (cl (! (= veriT_vr61 veriT_vr63) :named @p_395)) :rule refl)
-(step t134.t2 (cl (= @p_383 (! (member$ veriT_vr63 one_chain_typeI$) :named @p_394))) :rule cong :premises (t134.t1))
-(step t134.t3 (cl @p_395) :rule refl)
-(step t134.t4 (cl (= @p_385 (! (case_prod$ uua$ veriT_vr63) :named @p_396))) :rule cong :premises (t134.t3))
-(step t134.t5 (cl (= @p_386 (! (=> @p_394 @p_396) :named @p_397))) :rule cong :premises (t134.t2 t134.t4))
-(step t134 (cl (= @p_387 (! (forall ((veriT_vr63 Int_real_real_real_prod_fun_prod$)) @p_397) :named @p_399))) :rule bind)
-(step t135 (cl (! (= @p_389 (! (and @p_377 @p_398 @p_399) :named @p_401)) :named @p_400)) :rule cong :premises (t133 t134))
-(step t136 (cl (not @p_400) (not @p_389) @p_401) :rule equiv_pos2)
-(step t137 (cl @p_401) :rule th_resolution :premises (t132 t135 t136))
-(step t138 (cl @p_358) :rule and :premises (t119))
-(step t139 (cl @p_399) :rule and :premises (t137))
-(step t140 (cl (or (! (not @p_399) :named @p_422) (! (=> @p_402 (! (case_prod$ uua$ @p_403) :named @p_421)) :named @p_420))) :rule forall_inst :args ((:= veriT_vr63 @p_403)))
-(step t141 (cl (or (! (not @p_358) :named @p_427) (! (=> @p_402 (! (case_prod$ uu$ @p_403) :named @p_426)) :named @p_424))) :rule forall_inst :args ((:= veriT_vr58 @p_403)))
-(step t142 (cl (or (! (not @p_321) :named @p_406) (! (=> (! (and (! (finite$ @p_5) :named @p_415) (! (fun_app$a @p_12 g$) :named @p_409) (! (fun_app$a @p_24 g$) :named @p_408) (! (= @p_5 (! (sup$ @p_7 @p_5) :named @p_466)) :named @p_430) (! (= bot$ (inf$ @p_7 @p_5)) :named @p_431)) :named @p_429) (! (= @p_404 (! (+ @p_405 @p_404) :named @p_528)) :named @p_433)) :named @p_432))) :rule forall_inst :args ((:= veriT_vr51 @p_5) (:= veriT_vr52 f$) (:= veriT_vr53 @p_7) (:= veriT_vr54 g$) (:= veriT_vr55 @p_5)))
-(step t143 (cl (or @p_406 (! (=> (! (and (! (finite$ @p_407) :named @p_412) @p_408 @p_409 (! (= @p_407 (sup$ @p_5 @p_7)) :named @p_411) (! (= bot$ (inf$ @p_5 @p_7)) :named @p_437)) :named @p_434) @p_410) :named @p_438))) :rule forall_inst :args ((:= veriT_vr51 @p_407) (:= veriT_vr52 f$) (:= veriT_vr53 @p_5) (:= veriT_vr54 g$) (:= veriT_vr55 @p_7)))
-(step t144 (cl (or (! (not @p_249) :named @p_441) @p_411)) :rule forall_inst :args ((:= veriT_vr44 i$) (:= veriT_vr45 @p_7)))
-(step t145 (cl (or (! (not @p_230) :named @p_442) (! (= @p_407 (! (insert$ j$ @p_5) :named @p_467)) :named @p_443))) :rule forall_inst :args ((:= veriT_vr39 j$) (:= veriT_vr40 i$) (:= veriT_vr41 bot$)))
-(step t146 (cl (or (! (not @p_194) :named @p_447) (! (=> (! (member$a i$ @p_7) :named @p_445) (! (= @p_7 @p_407) :named @p_446)) :named @p_444))) :rule forall_inst :args ((:= veriT_vr32 i$) (:= veriT_vr33 @p_7)))
-(step t147 (cl (or (! (not @p_174) :named @p_413) (! (=> (! (finite$ @p_7) :named @p_416) @p_412) :named @p_448))) :rule forall_inst :args ((:= veriT_vr28 @p_7) (:= veriT_vr29 i$)))
-(step t148 (cl (or @p_413 (! (=> @p_414 @p_415) :named @p_449))) :rule forall_inst :args ((:= veriT_vr28 bot$) (:= veriT_vr29 i$)))
-(step t149 (cl (or @p_413 (! (=> @p_414 @p_416) :named @p_451))) :rule forall_inst :args ((:= veriT_vr28 bot$) (:= veriT_vr29 j$)))
-(step t150 (cl (or (! (not @p_119) :named @p_418) (! (= 0.0 (! (snd$a @p_417) :named @p_495)) :named @p_454))) :rule forall_inst :args ((:= veriT_vr18 1.0) (:= veriT_vr19 0.0)))
-(step t151 (cl (or @p_418 (! (= 1.0 (! (snd$a @p_419) :named @p_496)) :named @p_455))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 1.0)))
-(step t152 (cl (or (! (not @p_100) :named @p_456) (! (= g$ (! (snd$ @p_403) :named @p_471)) :named @p_457))) :rule forall_inst :args ((:= veriT_vr14 k$) (:= veriT_vr15 g$)))
-(step t153 (cl (or (! (not @p_84) :named @p_461) (! (=> (! (= @p_7 @p_5) :named @p_459) (! (= j$ i$) :named @p_460)) :named @p_458))) :rule forall_inst :args ((:= veriT_vr10 i$) (:= veriT_vr11 j$)))
-(step t154 (cl (! (not @p_420) :named @p_423) (! (not @p_402) :named @p_425) @p_421) :rule implies_pos)
-(step t155 (cl @p_422 @p_420) :rule or :premises (t140))
-(step t156 (cl @p_423 @p_421) :rule resolution :premises (t154 a6))
-(step t157 (cl @p_420) :rule resolution :premises (t155 t139))
-(step t158 (cl @p_421) :rule resolution :premises (t156 t157))
-(step t159 (cl (! (not @p_424) :named @p_428) @p_425 @p_426) :rule implies_pos)
-(step t160 (cl @p_427 @p_424) :rule or :premises (t141))
-(step t161 (cl @p_428 @p_426) :rule resolution :premises (t159 a6))
-(step t162 (cl @p_424) :rule resolution :premises (t160 t138))
-(step t163 (cl @p_426) :rule resolution :premises (t161 t162))
-(step t164 (cl @p_429 (not @p_415) (! (not @p_409) :named @p_436) (! (not @p_408) :named @p_435) (not @p_430) (not @p_431)) :rule and_neg)
-(step t165 (cl (not @p_432) (not @p_429) @p_433) :rule implies_pos)
-(step t166 (cl @p_406 @p_432) :rule or :premises (t142))
-(step t167 (cl @p_432) :rule resolution :premises (t166 t101))
-(step t168 (cl @p_434 (not @p_412) @p_435 @p_436 (not @p_411) (! (not @p_437) :named @p_515)) :rule and_neg)
-(step t169 (cl (! (not @p_438) :named @p_439) (! (not @p_434) :named @p_440) @p_410) :rule implies_pos)
-(step t170 (cl @p_406 @p_438) :rule or :premises (t143))
-(step t171 (cl @p_439 @p_440) :rule resolution :premises (t169 a19))
-(step t172 (cl @p_438) :rule resolution :premises (t170 t101))
-(step t173 (cl @p_440) :rule resolution :premises (t171 t172))
-(step t174 (cl @p_441 @p_411) :rule or :premises (t144))
-(step t175 (cl @p_411) :rule resolution :premises (t174 t92))
-(step t176 (cl @p_442 @p_443) :rule or :premises (t145))
-(step t177 (cl @p_443) :rule resolution :premises (t176 t86))
-(step t178 (cl (not @p_444) (! (not @p_445) :named @p_470) @p_446) :rule implies_pos)
-(step t179 (cl @p_447 @p_444) :rule or :premises (t146))
-(step t180 (cl @p_444) :rule resolution :premises (t179 t74))
-(step t181 (cl (not @p_448) (not @p_416) @p_412) :rule implies_pos)
-(step t182 (cl @p_413 @p_448) :rule or :premises (t147))
-(step t183 (cl @p_448) :rule resolution :premises (t182 t68))
-(step t184 (cl (! (not @p_449) :named @p_450) (! (not @p_414) :named @p_452) @p_415) :rule implies_pos)
-(step t185 (cl @p_413 @p_449) :rule or :premises (t148))
-(step t186 (cl @p_450 @p_415) :rule resolution :premises (t184 a8))
-(step t187 (cl @p_449) :rule resolution :premises (t185 t68))
-(step t188 (cl @p_415) :rule resolution :premises (t186 t187))
-(step t189 (cl (! (not @p_451) :named @p_453) @p_452 @p_416) :rule implies_pos)
-(step t190 (cl @p_413 @p_451) :rule or :premises (t149))
-(step t191 (cl @p_453 @p_416) :rule resolution :premises (t189 a8))
-(step t192 (cl @p_451) :rule resolution :premises (t190 t68))
-(step t193 (cl @p_416) :rule resolution :premises (t191 t192))
-(step t194 (cl @p_412) :rule resolution :premises (t181 t193 t183))
-(step t195 (cl @p_418 @p_454) :rule or :premises (t150))
-(step t196 (cl @p_454) :rule resolution :premises (t195 t56))
-(step t197 (cl @p_418 @p_455) :rule or :premises (t151))
-(step t198 (cl @p_455) :rule resolution :premises (t197 t56))
-(step t199 (cl @p_456 @p_457) :rule or :premises (t152))
-(step t200 (cl @p_457) :rule resolution :premises (t199 t50))
-(step t201 (cl (not @p_458) (! (not @p_459) :named @p_507) @p_460) :rule implies_pos)
-(step t202 (cl @p_461 @p_458) :rule or :premises (t153))
-(step t203 (cl @p_458) :rule resolution :premises (t202 t44))
-(step t204 (cl (or @p_410 (! (not (! (<= @p_462 @p_463) :named @p_534)) :named @p_464) (! (not (! (<= @p_463 @p_462) :named @p_535)) :named @p_465))) :rule la_disequality)
-(step t205 (cl @p_410 @p_464 @p_465) :rule or :premises (t204))
-(step t206 (cl @p_464 @p_465) :rule resolution :premises (t205 a19))
-(step t207 (cl (or @p_441 (! (= @p_466 @p_467) :named @p_474))) :rule forall_inst :args ((:= veriT_vr44 j$) (:= veriT_vr45 @p_5)))
-(step t208 (cl (or @p_447 (! (=> (! (member$a j$ @p_5) :named @p_468) (! (= @p_5 @p_467) :named @p_477)) :named @p_475))) :rule forall_inst :args ((:= veriT_vr32 j$) (:= veriT_vr33 @p_5)))
-(step t209 (cl (or (! (not @p_156) :named @p_469) (! (= @p_437 (! (and (! (not @p_468) :named @p_476) (! (= bot$ (inf$ @p_5 bot$)) :named @p_479)) :named @p_478)) :named @p_482))) :rule forall_inst :args ((:= veriT_vr23 @p_5) (:= veriT_vr24 j$) (:= veriT_vr25 bot$)))
-(step t210 (cl (or @p_469 (! (= @p_431 (! (and @p_470 (! (= bot$ (inf$ @p_7 bot$)) :named @p_485)) :named @p_483)) :named @p_487))) :rule forall_inst :args ((:= veriT_vr23 @p_7) (:= veriT_vr24 i$) (:= veriT_vr25 bot$)))
-(step t211 (cl (or (! (not @p_61) :named @p_472) (! (= @p_426 (! (fun_app$a (! (fun_app$ uu$ (! (fst$ @p_403) :named @p_473)) :named @p_508) @p_471) :named @p_489)) :named @p_488))) :rule forall_inst :args ((:= veriT_vr6 uu$) (:= veriT_vr7 @p_403)))
-(step t212 (cl (or @p_472 (! (= @p_421 (! (fun_app$a (! (fun_app$ uua$ @p_473) :named @p_509) @p_471) :named @p_492)) :named @p_491))) :rule forall_inst :args ((:= veriT_vr6 uua$) (:= veriT_vr7 @p_403)))
-(step t213 (cl @p_441 @p_474) :rule or :premises (t207))
-(step t214 (cl @p_474) :rule resolution :premises (t213 t92))
-(step t215 (cl (not @p_475) @p_476 @p_477) :rule implies_pos)
-(step t216 (cl @p_447 @p_475) :rule or :premises (t208))
-(step t217 (cl @p_475) :rule resolution :premises (t216 t74))
-(step t218 (cl (not (! (not @p_470) :named @p_484)) @p_445) :rule not_not)
-(step t219 (cl @p_478 (! (not @p_476) :named @p_480) (! (not @p_479) :named @p_481)) :rule and_neg)
-(step t220 (cl (not @p_480) @p_468) :rule not_not)
-(step t221 (cl @p_478 @p_468 @p_481) :rule th_resolution :premises (t220 t219))
-(step t222 (cl (not @p_482) @p_437 (! (not @p_478) :named @p_516)) :rule equiv_pos1)
-(step t223 (cl @p_469 @p_482) :rule or :premises (t209))
-(step t224 (cl @p_482) :rule resolution :premises (t223 t62))
-(step t225 (cl @p_483 @p_484 (! (not @p_485) :named @p_486)) :rule and_neg)
-(step t226 (cl @p_483 @p_445 @p_486) :rule th_resolution :premises (t218 t225))
-(step t227 (cl (not @p_487) @p_431 (not @p_483)) :rule equiv_pos1)
-(step t228 (cl @p_469 @p_487) :rule or :premises (t210))
-(step t229 (cl @p_487) :rule resolution :premises (t228 t62))
-(step t230 (cl (! (not @p_488) :named @p_490) (not @p_426) @p_489) :rule equiv_pos2)
-(step t231 (cl @p_472 @p_488) :rule or :premises (t211))
-(step t232 (cl @p_490 @p_489) :rule resolution :premises (t230 t163))
-(step t233 (cl @p_488) :rule resolution :premises (t231 t38))
-(step t234 (cl @p_489) :rule resolution :premises (t232 t233))
-(step t235 (cl (! (not @p_491) :named @p_493) (not @p_421) @p_492) :rule equiv_pos2)
-(step t236 (cl @p_472 @p_491) :rule or :premises (t212))
-(step t237 (cl @p_493 @p_492) :rule resolution :premises (t235 t158))
-(step t238 (cl @p_491) :rule resolution :premises (t236 t38))
-(step t239 (cl @p_492) :rule resolution :premises (t237 t238))
-(step t240 (cl (or (! (not @p_205) :named @p_494) @p_479)) :rule forall_inst :args ((:= veriT_vr35 @p_5)))
-(step t241 (cl (or @p_494 @p_485)) :rule forall_inst :args ((:= veriT_vr35 @p_7)))
-(step t242 (cl @p_494 @p_479) :rule or :premises (t240))
-(step t243 (cl @p_479) :rule resolution :premises (t242 t80))
-(step t244 (cl @p_494 @p_485) :rule or :premises (t241))
-(step t245 (cl @p_485) :rule resolution :premises (t244 t80))
-(step t246 (cl (! (= @p_7 @p_7) :named @p_520)) :rule eq_reflexive)
-(step t247 (cl (not (! (= 1.0 0.0) :named @p_497))) :rule la_generic :args ((- 1)))
-(step t248 (cl (! (not @p_455) :named @p_505) (not (! (= @p_495 @p_496) :named @p_498)) (! (not @p_454) :named @p_506) @p_497) :rule eq_transitive)
-(step t249 (cl (not (! (= @p_417 @p_419) :named @p_501)) @p_498) :rule eq_congruent)
-(step t250 (cl (! (not @p_499) :named @p_502) (! (not @p_460) :named @p_503) (! (not @p_500) :named @p_504) @p_501) :rule eq_transitive)
-(step t251 (cl @p_498 @p_502 @p_503 @p_504) :rule th_resolution :premises (t249 t250))
-(step t252 (cl @p_505 @p_506 @p_497 @p_502 @p_503 @p_504) :rule th_resolution :premises (t248 t251))
-(step t253 (cl @p_505 @p_506 @p_502 @p_503 @p_504) :rule th_resolution :premises (t247 t252))
-(step t254 (cl @p_503) :rule resolution :premises (t253 a10 a12 t196 t198))
-(step t255 (cl @p_507) :rule resolution :premises (t201 t254 t203))
-(step t256 (cl (! (= f$ f$) :named @p_523)) :rule eq_reflexive)
-(step t257 (cl (! (= g$ g$) :named @p_524)) :rule eq_reflexive)
-(step t258 (cl (! (= @p_405 @p_405) :named @p_527)) :rule eq_reflexive)
-(step t259 (cl (or (! (not @p_34) :named @p_510) (! (= @p_24 @p_508) :named @p_511))) :rule forall_inst :args ((:= veriT_vr3 @p_473)))
-(step t260 (cl (or (! (not @p_22) :named @p_512) (! (= @p_12 @p_509) :named @p_513))) :rule forall_inst :args ((:= veriT_vr1 @p_473)))
-(step t261 (cl @p_510 @p_511) :rule or :premises (t259))
-(step t262 (cl @p_511) :rule resolution :premises (t261 t32))
-(step t263 (cl @p_512 @p_513) :rule or :premises (t260))
-(step t264 (cl @p_513) :rule resolution :premises (t263 t26))
-(step t265 (cl (not @p_511) (! (not @p_457) :named @p_514) @p_408 (not @p_489)) :rule eq_congruent_pred)
-(step t266 (cl @p_408) :rule resolution :premises (t265 t200 t234 t262))
-(step t267 (cl (not @p_513) @p_514 @p_409 (not @p_492)) :rule eq_congruent_pred)
-(step t268 (cl @p_409) :rule resolution :premises (t267 t200 t239 t264))
-(step t269 (cl @p_515) :rule resolution :premises (t168 t268 t194 t173 t175 t266))
-(step t270 (cl @p_516) :rule resolution :premises (t222 t269 t224))
-(step t271 (cl @p_468) :rule resolution :premises (t221 t270 t243))
-(step t272 (cl @p_477) :rule resolution :premises (t215 t271 t217))
-(step t273 (cl (! (not @p_477) :named @p_517) (not @p_474) @p_430) :rule eq_transitive)
-(step t274 (cl @p_430) :rule resolution :premises (t273 t214 t272))
-(step t275 (cl @p_517 (! (not @p_443) :named @p_518) (! (= @p_5 @p_407) :named @p_519)) :rule eq_transitive)
-(step t276 (cl @p_518 @p_517 @p_519) :rule eq_transitive)
-(step t277 (cl (not @p_520) (! (not @p_446) :named @p_521) (! (not @p_519) :named @p_522) @p_459) :rule eq_transitive)
-(step t278 (cl @p_521 @p_522 @p_459) :rule th_resolution :premises (t277 t246))
-(step t279 (cl @p_521 @p_459 @p_518 @p_517) :rule th_resolution :premises (t278 t276))
-(step t280 (cl @p_521) :rule resolution :premises (t279 t177 t255 t272))
-(step t281 (cl (not @p_523) @p_522 (! (not @p_524) :named @p_525) (! (= @p_462 @p_404) :named @p_526)) :rule eq_congruent)
-(step t282 (cl @p_522 @p_525 @p_526) :rule th_resolution :premises (t281 t256))
-(step t283 (cl @p_522 @p_526) :rule th_resolution :premises (t282 t257))
-(step t284 (cl @p_526 @p_517 @p_518) :rule th_resolution :premises (t283 t275))
-(step t285 (cl @p_470) :rule resolution :premises (t178 t280 t180))
-(step t286 (cl @p_483) :rule resolution :premises (t226 t285 t245))
-(step t287 (cl @p_431) :rule resolution :premises (t227 t286 t229))
-(step t288 (cl @p_429) :rule resolution :premises (t164 t287 t188 t266 t268 t274))
-(step t289 (cl @p_433) :rule resolution :premises (t165 t288 t167))
-(step t290 (cl (not @p_527) (! (not @p_526) :named @p_529) (! (= (! (+ @p_405 @p_462) :named @p_531) @p_528) :named @p_530)) :rule eq_congruent)
-(step t291 (cl @p_529 @p_530) :rule th_resolution :premises (t290 t258))
-(step t292 (cl @p_530 @p_517 @p_518) :rule th_resolution :premises (t291 t284))
-(step t293 (cl (! (not @p_433) :named @p_532) (not @p_530) (! (= @p_404 @p_531) :named @p_533)) :rule eq_transitive)
-(step t294 (cl @p_532 @p_533 @p_517 @p_518) :rule th_resolution :premises (t293 t292))
-(step t295 (cl @p_534 @p_529 (! (not @p_533) :named @p_536)) :rule la_generic :args (1.0 (- 2) (- 1)))
-(step t296 (cl @p_534 @p_517 @p_518 @p_532) :rule th_resolution :premises (t295 t284 t294))
-(step t297 (cl @p_534) :rule resolution :premises (t296 t289 t177 t272))
-(step t298 (cl @p_465) :rule resolution :premises (t206 t297))
-(step t299 (cl @p_535 @p_529 @p_536) :rule la_generic :args (1.0 2 1))
-(step t300 (cl @p_535 @p_517 @p_518 @p_532) :rule th_resolution :premises (t299 t284 t294))
-(step t301 (cl) :rule resolution :premises (t300 t289 t177 t298 t272))
 a5b152c08be1e0a4da353f094af8f11f36a16f52 333 0
 unsat
 (assume a0 (not x0$))
@@ -2545,74 +1890,6 @@
 (step t34 (cl @p_58) :rule resolution :premises (t31 t33))
 (step t35 (cl @p_60 @p_46) :rule la_generic :args (1 1))
 (step t36 (cl) :rule resolution :premises (t35 t26 t34))
-009068a6f752b63c0ec5b63adbd0474d11cb4745 67 0
-unsat
-(define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (ite (! (< 0 veriT_vr1) :named @p_27) (! (< 0 (! (+ 1 veriT_vr1) :named @p_29)) :named @p_30) (! (< veriT_vr1 1) :named @p_31)) :named @p_32))) :named @p_38))
-(assume a0 (! (not (! (forall ((?v0 Int)) (! (ite (! (< 0 ?v0) :named @p_2) (! (< 0 (! (+ ?v0 1) :named @p_5)) :named @p_7) (! (< ?v0 1) :named @p_9)) :named @p_11)) :named @p_1)) :named @p_13))
-(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
-(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
-(step t2.t2 (cl (= @p_2 (! (< 0 veriT_vr0) :named @p_3))) :rule cong :premises (t2.t1))
-(step t2.t3 (cl @p_4) :rule refl)
-(step t2.t4 (cl (= @p_5 (! (+ veriT_vr0 1) :named @p_6))) :rule cong :premises (t2.t3))
-(step t2.t5 (cl (= @p_7 (! (< 0 @p_6) :named @p_8))) :rule cong :premises (t2.t4))
-(step t2.t6 (cl @p_4) :rule refl)
-(step t2.t7 (cl (= @p_9 (! (< veriT_vr0 1) :named @p_10))) :rule cong :premises (t2.t6))
-(step t2.t8 (cl (= @p_11 (! (ite @p_3 @p_8 @p_10) :named @p_12))) :rule cong :premises (t2.t2 t2.t5 t2.t7))
-(step t2 (cl (= @p_1 (! (forall ((veriT_vr0 Int)) @p_12) :named @p_14))) :rule bind)
-(step t3 (cl (! (= @p_13 (! (not @p_14) :named @p_16)) :named @p_15)) :rule cong :premises (t2))
-(step t4 (cl (! (not @p_15) :named @p_18) (! (not @p_13) :named @p_17) @p_16) :rule equiv_pos2)
-(step t5 (cl (not @p_17) @p_1) :rule not_not)
-(step t6 (cl @p_18 @p_1 @p_16) :rule th_resolution :premises (t5 t4))
-(step t7 (cl @p_16) :rule th_resolution :premises (a0 t3 t6))
-(anchor :step t8 :args ((veriT_vr0 Int)))
-(step t8.t1 (cl (= @p_6 (! (+ 1 veriT_vr0) :named @p_19))) :rule sum_simplify)
-(step t8.t2 (cl (= @p_8 (! (< 0 @p_19) :named @p_20))) :rule cong :premises (t8.t1))
-(step t8.t3 (cl (= @p_12 (! (ite @p_3 @p_20 @p_10) :named @p_21))) :rule cong :premises (t8.t2))
-(step t8 (cl (= @p_14 (! (forall ((veriT_vr0 Int)) @p_21) :named @p_22))) :rule bind)
-(step t9 (cl (! (= @p_16 (! (not @p_22) :named @p_24)) :named @p_23)) :rule cong :premises (t8))
-(step t10 (cl (! (not @p_23) :named @p_26) (! (not @p_16) :named @p_25) @p_24) :rule equiv_pos2)
-(step t11 (cl (not @p_25) @p_14) :rule not_not)
-(step t12 (cl @p_26 @p_14 @p_24) :rule th_resolution :premises (t11 t10))
-(step t13 (cl @p_24) :rule th_resolution :premises (t7 t9 t12))
-(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr1)))
-(step t14.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_28)) :rule refl)
-(step t14.t2 (cl (= @p_3 @p_27)) :rule cong :premises (t14.t1))
-(step t14.t3 (cl @p_28) :rule refl)
-(step t14.t4 (cl (= @p_19 @p_29)) :rule cong :premises (t14.t3))
-(step t14.t5 (cl (= @p_20 @p_30)) :rule cong :premises (t14.t4))
-(step t14.t6 (cl @p_28) :rule refl)
-(step t14.t7 (cl (= @p_10 @p_31)) :rule cong :premises (t14.t6))
-(step t14.t8 (cl (= @p_21 @p_32)) :rule cong :premises (t14.t2 t14.t5 t14.t7))
-(step t14 (cl (= @p_22 (! (forall ((veriT_vr1 Int)) @p_32) :named @p_33))) :rule bind)
-(step t15 (cl (! (= @p_24 (! (not @p_33) :named @p_35)) :named @p_34)) :rule cong :premises (t14))
-(step t16 (cl (! (not @p_34) :named @p_37) (! (not @p_24) :named @p_36) @p_35) :rule equiv_pos2)
-(step t17 (cl (not @p_36) @p_22) :rule not_not)
-(step t18 (cl @p_37 @p_22 @p_35) :rule th_resolution :premises (t17 t16))
-(step t19 (cl @p_35) :rule th_resolution :premises (t13 t15 t18))
-(anchor :step t20 :args ((:= (veriT_vr1 Int) veriT_sk0)))
-(step t20.t1 (cl (! (= veriT_vr1 veriT_sk0) :named @p_40)) :rule refl)
-(step t20.t2 (cl (= @p_27 (! (< 0 veriT_sk0) :named @p_39))) :rule cong :premises (t20.t1))
-(step t20.t3 (cl @p_40) :rule refl)
-(step t20.t4 (cl (= @p_29 (! (+ 1 veriT_sk0) :named @p_41))) :rule cong :premises (t20.t3))
-(step t20.t5 (cl (= @p_30 (! (< 0 @p_41) :named @p_42))) :rule cong :premises (t20.t4))
-(step t20.t6 (cl @p_40) :rule refl)
-(step t20.t7 (cl (= @p_31 (! (< veriT_sk0 1) :named @p_43))) :rule cong :premises (t20.t6))
-(step t20.t8 (cl (= @p_32 (! (ite @p_39 @p_42 @p_43) :named @p_44))) :rule cong :premises (t20.t2 t20.t5 t20.t7))
-(step t20 (cl (= @p_33 @p_44)) :rule sko_forall)
-(step t21 (cl (! (= @p_35 (! (not @p_44) :named @p_46)) :named @p_45)) :rule cong :premises (t20))
-(step t22 (cl (! (not @p_45) :named @p_48) (! (not @p_35) :named @p_47) @p_46) :rule equiv_pos2)
-(step t23 (cl (not @p_47) @p_33) :rule not_not)
-(step t24 (cl @p_48 @p_33 @p_46) :rule th_resolution :premises (t23 t22))
-(step t25 (cl @p_46) :rule th_resolution :premises (t19 t21 t24))
-(step t26 (cl @p_39 (! (not @p_43) :named @p_50)) :rule not_ite1 :premises (t25))
-(step t27 (cl (! (not @p_39) :named @p_49) (not @p_42)) :rule not_ite2 :premises (t25))
-(step t28 (cl @p_43 @p_42) :rule la_generic :args (1 1))
-(step t29 (cl @p_49 @p_42) :rule la_generic :args (1 1))
-(step t30 (cl @p_42) :rule resolution :premises (t29 t26 t28))
-(step t31 (cl @p_49) :rule resolution :premises (t27 t30))
-(step t32 (cl @p_50) :rule resolution :premises (t26 t31))
-(step t33 (cl @p_43 @p_39) :rule la_generic :args (1 1))
-(step t34 (cl) :rule resolution :premises (t33 t31 t32))
 72ef753af86f7012e75f73f9bc2d3adda07e800b 107 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (or (! (< veriT_vr1 0) :named @p_37) (! (< 0 veriT_vr1) :named @p_39)) :named @p_40))) :named @p_51))
@@ -2721,6 +1998,74 @@
 (step t71 (cl @p_85) :rule false)
 (step t72 (cl @p_65 false) :rule or :premises (t70))
 (step t73 (cl) :rule resolution :premises (t72 t63 t71))
+009068a6f752b63c0ec5b63adbd0474d11cb4745 67 0
+unsat
+(define-fun veriT_sk0 () Int (! (choice ((veriT_vr1 Int)) (not (! (ite (! (< 0 veriT_vr1) :named @p_27) (! (< 0 (! (+ 1 veriT_vr1) :named @p_29)) :named @p_30) (! (< veriT_vr1 1) :named @p_31)) :named @p_32))) :named @p_38))
+(assume a0 (! (not (! (forall ((?v0 Int)) (! (ite (! (< 0 ?v0) :named @p_2) (! (< 0 (! (+ ?v0 1) :named @p_5)) :named @p_7) (! (< ?v0 1) :named @p_9)) :named @p_11)) :named @p_1)) :named @p_13))
+(anchor :step t2 :args ((:= (?v0 Int) veriT_vr0)))
+(step t2.t1 (cl (! (= ?v0 veriT_vr0) :named @p_4)) :rule refl)
+(step t2.t2 (cl (= @p_2 (! (< 0 veriT_vr0) :named @p_3))) :rule cong :premises (t2.t1))
+(step t2.t3 (cl @p_4) :rule refl)
+(step t2.t4 (cl (= @p_5 (! (+ veriT_vr0 1) :named @p_6))) :rule cong :premises (t2.t3))
+(step t2.t5 (cl (= @p_7 (! (< 0 @p_6) :named @p_8))) :rule cong :premises (t2.t4))
+(step t2.t6 (cl @p_4) :rule refl)
+(step t2.t7 (cl (= @p_9 (! (< veriT_vr0 1) :named @p_10))) :rule cong :premises (t2.t6))
+(step t2.t8 (cl (= @p_11 (! (ite @p_3 @p_8 @p_10) :named @p_12))) :rule cong :premises (t2.t2 t2.t5 t2.t7))
+(step t2 (cl (= @p_1 (! (forall ((veriT_vr0 Int)) @p_12) :named @p_14))) :rule bind)
+(step t3 (cl (! (= @p_13 (! (not @p_14) :named @p_16)) :named @p_15)) :rule cong :premises (t2))
+(step t4 (cl (! (not @p_15) :named @p_18) (! (not @p_13) :named @p_17) @p_16) :rule equiv_pos2)
+(step t5 (cl (not @p_17) @p_1) :rule not_not)
+(step t6 (cl @p_18 @p_1 @p_16) :rule th_resolution :premises (t5 t4))
+(step t7 (cl @p_16) :rule th_resolution :premises (a0 t3 t6))
+(anchor :step t8 :args ((veriT_vr0 Int)))
+(step t8.t1 (cl (= @p_6 (! (+ 1 veriT_vr0) :named @p_19))) :rule sum_simplify)
+(step t8.t2 (cl (= @p_8 (! (< 0 @p_19) :named @p_20))) :rule cong :premises (t8.t1))
+(step t8.t3 (cl (= @p_12 (! (ite @p_3 @p_20 @p_10) :named @p_21))) :rule cong :premises (t8.t2))
+(step t8 (cl (= @p_14 (! (forall ((veriT_vr0 Int)) @p_21) :named @p_22))) :rule bind)
+(step t9 (cl (! (= @p_16 (! (not @p_22) :named @p_24)) :named @p_23)) :rule cong :premises (t8))
+(step t10 (cl (! (not @p_23) :named @p_26) (! (not @p_16) :named @p_25) @p_24) :rule equiv_pos2)
+(step t11 (cl (not @p_25) @p_14) :rule not_not)
+(step t12 (cl @p_26 @p_14 @p_24) :rule th_resolution :premises (t11 t10))
+(step t13 (cl @p_24) :rule th_resolution :premises (t7 t9 t12))
+(anchor :step t14 :args ((:= (veriT_vr0 Int) veriT_vr1)))
+(step t14.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_28)) :rule refl)
+(step t14.t2 (cl (= @p_3 @p_27)) :rule cong :premises (t14.t1))
+(step t14.t3 (cl @p_28) :rule refl)
+(step t14.t4 (cl (= @p_19 @p_29)) :rule cong :premises (t14.t3))
+(step t14.t5 (cl (= @p_20 @p_30)) :rule cong :premises (t14.t4))
+(step t14.t6 (cl @p_28) :rule refl)
+(step t14.t7 (cl (= @p_10 @p_31)) :rule cong :premises (t14.t6))
+(step t14.t8 (cl (= @p_21 @p_32)) :rule cong :premises (t14.t2 t14.t5 t14.t7))
+(step t14 (cl (= @p_22 (! (forall ((veriT_vr1 Int)) @p_32) :named @p_33))) :rule bind)
+(step t15 (cl (! (= @p_24 (! (not @p_33) :named @p_35)) :named @p_34)) :rule cong :premises (t14))
+(step t16 (cl (! (not @p_34) :named @p_37) (! (not @p_24) :named @p_36) @p_35) :rule equiv_pos2)
+(step t17 (cl (not @p_36) @p_22) :rule not_not)
+(step t18 (cl @p_37 @p_22 @p_35) :rule th_resolution :premises (t17 t16))
+(step t19 (cl @p_35) :rule th_resolution :premises (t13 t15 t18))
+(anchor :step t20 :args ((:= (veriT_vr1 Int) veriT_sk0)))
+(step t20.t1 (cl (! (= veriT_vr1 veriT_sk0) :named @p_40)) :rule refl)
+(step t20.t2 (cl (= @p_27 (! (< 0 veriT_sk0) :named @p_39))) :rule cong :premises (t20.t1))
+(step t20.t3 (cl @p_40) :rule refl)
+(step t20.t4 (cl (= @p_29 (! (+ 1 veriT_sk0) :named @p_41))) :rule cong :premises (t20.t3))
+(step t20.t5 (cl (= @p_30 (! (< 0 @p_41) :named @p_42))) :rule cong :premises (t20.t4))
+(step t20.t6 (cl @p_40) :rule refl)
+(step t20.t7 (cl (= @p_31 (! (< veriT_sk0 1) :named @p_43))) :rule cong :premises (t20.t6))
+(step t20.t8 (cl (= @p_32 (! (ite @p_39 @p_42 @p_43) :named @p_44))) :rule cong :premises (t20.t2 t20.t5 t20.t7))
+(step t20 (cl (= @p_33 @p_44)) :rule sko_forall)
+(step t21 (cl (! (= @p_35 (! (not @p_44) :named @p_46)) :named @p_45)) :rule cong :premises (t20))
+(step t22 (cl (! (not @p_45) :named @p_48) (! (not @p_35) :named @p_47) @p_46) :rule equiv_pos2)
+(step t23 (cl (not @p_47) @p_33) :rule not_not)
+(step t24 (cl @p_48 @p_33 @p_46) :rule th_resolution :premises (t23 t22))
+(step t25 (cl @p_46) :rule th_resolution :premises (t19 t21 t24))
+(step t26 (cl @p_39 (! (not @p_43) :named @p_50)) :rule not_ite1 :premises (t25))
+(step t27 (cl (! (not @p_39) :named @p_49) (not @p_42)) :rule not_ite2 :premises (t25))
+(step t28 (cl @p_43 @p_42) :rule la_generic :args (1 1))
+(step t29 (cl @p_49 @p_42) :rule la_generic :args (1 1))
+(step t30 (cl @p_42) :rule resolution :premises (t29 t26 t28))
+(step t31 (cl @p_49) :rule resolution :premises (t27 t30))
+(step t32 (cl @p_50) :rule resolution :premises (t26 t31))
+(step t33 (cl @p_43 @p_39) :rule la_generic :args (1 1))
+(step t34 (cl) :rule resolution :premises (t33 t31 t32))
 79c36cccfa675d72431ed7e3c2f6afc45f85907a 74 0
 unsat
 (define-fun veriT_sk0 () Int (! (choice ((veriT_vr2 Int)) (not (forall ((veriT_vr3 Int)) (! (=> (! (and (! (< 0 veriT_vr2) :named @p_27) (! (< 0 veriT_vr3) :named @p_28)) :named @p_29) (! (< 0 (! (+ veriT_vr2 veriT_vr3) :named @p_32)) :named @p_33)) :named @p_34)))) :named @p_40))
@@ -3718,34 +3063,6 @@
 (step t21 (cl false) :rule th_resolution :premises (t15 t19 t20))
 (step t22 (cl (not false)) :rule false)
 (step t23 (cl) :rule resolution :premises (t21 t22))
-c16c43a541a3283a006315d4b74b5196ee73be5b 27 0
-unsat
-(assume a0 (not (=> (f$ (! (forall ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
-(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (a0))
-(anchor :step t3 :args ((:= (?v0 A$) veriT_vr0)))
-(step t3.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
-(step t3.t2 (cl (= @p_2 (! (g$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
-(step t3 (cl (= @p_1 (! (forall ((veriT_vr0 A$)) @p_3) :named @p_5))) :rule bind)
-(step t4 (cl (= @p_4 (! (ite @p_5 @p_6 @p_7) :named @p_9))) :rule cong :premises (t3))
-(step t5 (cl (= @p_8 (! (=> @p_9 true) :named @p_11))) :rule cong :premises (t4))
-(step t6 (cl (! (= @p_10 (! (not @p_11) :named @p_13)) :named @p_12)) :rule cong :premises (t5))
-(step t7 (cl (! (not @p_12) :named @p_15) (! (not @p_10) :named @p_14) @p_13) :rule equiv_pos2)
-(step t8 (cl (not @p_14) @p_8) :rule not_not)
-(step t9 (cl @p_15 @p_8 @p_13) :rule th_resolution :premises (t8 t7))
-(step t10 (cl @p_13) :rule th_resolution :premises (t2 t6 t9))
-(step t11 (cl (! (= @p_13 (! (and @p_9 (! (not true) :named @p_20)) :named @p_17)) :named @p_16)) :rule bool_simplify)
-(step t12 (cl (! (not @p_16) :named @p_19) (! (not @p_13) :named @p_18) @p_17) :rule equiv_pos2)
-(step t13 (cl (not @p_18) @p_11) :rule not_not)
-(step t14 (cl @p_19 @p_11 @p_17) :rule th_resolution :premises (t13 t12))
-(step t15 (cl @p_17) :rule th_resolution :premises (t10 t11 t14))
-(step t16 (cl (= @p_20 false)) :rule not_simplify)
-(step t17 (cl (= @p_17 (! (and @p_9 false) :named @p_21))) :rule cong :premises (t16))
-(step t18 (cl (= @p_21 false)) :rule and_simplify)
-(step t19 (cl (! (= @p_17 false) :named @p_22)) :rule trans :premises (t17 t18))
-(step t20 (cl (not @p_22) (not @p_17) false) :rule equiv_pos2)
-(step t21 (cl false) :rule th_resolution :premises (t15 t19 t20))
-(step t22 (cl (not false)) :rule false)
-(step t23 (cl) :rule resolution :premises (t21 t22))
 bfe8d775ab64ce32fa8986be49dfdcae57d75099 60 0
 unsat
 (assume a0 (! (forall ((?v0 Int) (?v1 Int)) (! (= (! (fun_app$ (! (fun_app$a uu$ ?v0) :named @p_2) ?v1) :named @p_4) (! (<= ?v0 ?v1) :named @p_8)) :named @p_10)) :named @p_1))
@@ -3957,6 +3274,34 @@
 (step t17 (cl false) :rule th_resolution :premises (t9 t13 t16))
 (step t18 (cl (not false)) :rule false)
 (step t19 (cl) :rule resolution :premises (t17 t18))
+c16c43a541a3283a006315d4b74b5196ee73be5b 27 0
+unsat
+(assume a0 (not (=> (f$ (! (forall ((?v0 A$)) (! (g$ ?v0) :named @p_2)) :named @p_1)) true)))
+(step t2 (cl (! (not (! (=> (! (ite @p_1 (! (f$ true) :named @p_6) (! (f$ false) :named @p_7)) :named @p_4) true) :named @p_8)) :named @p_10)) :rule bfun_elim :premises (a0))
+(anchor :step t3 :args ((:= (?v0 A$) veriT_vr0)))
+(step t3.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
+(step t3.t2 (cl (= @p_2 (! (g$ veriT_vr0) :named @p_3))) :rule cong :premises (t3.t1))
+(step t3 (cl (= @p_1 (! (forall ((veriT_vr0 A$)) @p_3) :named @p_5))) :rule bind)
+(step t4 (cl (= @p_4 (! (ite @p_5 @p_6 @p_7) :named @p_9))) :rule cong :premises (t3))
+(step t5 (cl (= @p_8 (! (=> @p_9 true) :named @p_11))) :rule cong :premises (t4))
+(step t6 (cl (! (= @p_10 (! (not @p_11) :named @p_13)) :named @p_12)) :rule cong :premises (t5))
+(step t7 (cl (! (not @p_12) :named @p_15) (! (not @p_10) :named @p_14) @p_13) :rule equiv_pos2)
+(step t8 (cl (not @p_14) @p_8) :rule not_not)
+(step t9 (cl @p_15 @p_8 @p_13) :rule th_resolution :premises (t8 t7))
+(step t10 (cl @p_13) :rule th_resolution :premises (t2 t6 t9))
+(step t11 (cl (! (= @p_13 (! (and @p_9 (! (not true) :named @p_20)) :named @p_17)) :named @p_16)) :rule bool_simplify)
+(step t12 (cl (! (not @p_16) :named @p_19) (! (not @p_13) :named @p_18) @p_17) :rule equiv_pos2)
+(step t13 (cl (not @p_18) @p_11) :rule not_not)
+(step t14 (cl @p_19 @p_11 @p_17) :rule th_resolution :premises (t13 t12))
+(step t15 (cl @p_17) :rule th_resolution :premises (t10 t11 t14))
+(step t16 (cl (= @p_20 false)) :rule not_simplify)
+(step t17 (cl (= @p_17 (! (and @p_9 false) :named @p_21))) :rule cong :premises (t16))
+(step t18 (cl (= @p_21 false)) :rule and_simplify)
+(step t19 (cl (! (= @p_17 false) :named @p_22)) :rule trans :premises (t17 t18))
+(step t20 (cl (not @p_22) (not @p_17) false) :rule equiv_pos2)
+(step t21 (cl false) :rule th_resolution :premises (t15 t19 t20))
+(step t22 (cl (not false)) :rule false)
+(step t23 (cl) :rule resolution :premises (t21 t22))
 3fb3269903eddb271bcd0f8b72a806a38020c0d1 107 0
 unsat
 (assume a0 (! (forall ((?v0 Int)) (! (= (! (dec_10$ ?v0) :named @p_2) (! (ite (! (< ?v0 10) :named @p_5) ?v0 (! (dec_10$ (! (- ?v0 10) :named @p_7)) :named @p_9)) :named @p_11)) :named @p_13)) :named @p_1))
@@ -5549,6 +4894,661 @@
 (step t591 (cl @p_1136) :rule eq_reflexive)
 (step t592 (cl @p_1135 @p_790 @p_1092) :rule th_resolution :premises (t590 t591))
 (step t593 (cl) :rule resolution :premises (t592 a24 t588 t586))
+8616c6debd3ebae49adf8409b8c1ecb6665bc881 654 0
+unsat
+(assume a0 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uua$ ?v0) :named @p_13) (! (line_integral_exists$ f$ (! (insert$ j$ bot$) :named @p_7)) :named @p_12)) :named @p_15)) :named @p_11))
+(assume a1 (! (forall ((?v0 Int)) (! (= (! (fun_app$ uu$ ?v0) :named @p_25) (! (line_integral_exists$ f$ (! (insert$ i$ bot$) :named @p_5)) :named @p_24)) :named @p_27)) :named @p_23))
+(assume a2 (! (forall ((?v0 Int_real_real_real_prod_fun_bool_fun_fun$) (?v1 Int_real_real_real_prod_fun_prod$)) (! (= (! (case_prod$ ?v0 ?v1) :named @p_36) (! (fun_app$a (! (fun_app$ ?v0 (! (fst$ ?v1) :named @p_40)) :named @p_42) (! (snd$ ?v1) :named @p_44)) :named @p_46)) :named @p_48)) :named @p_35))
+(assume a3 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$)) (! (=> (! (= (! (insert$ ?v0 bot$) :named @p_3) (! (insert$ ?v1 bot$) :named @p_64)) :named @p_66) (! (= ?v0 ?v1) :named @p_70)) :named @p_72)) :named @p_62))
+(assume a4 (! (forall ((?v0 Int) (?v1 Real_real_real_prod_fun$)) (! (= ?v1 (! (snd$ (! (pair$ ?v0 ?v1) :named @p_87)) :named @p_89)) :named @p_91)) :named @p_85))
+(assume a5 (! (forall ((?v0 Real) (?v1 Real)) (! (= ?v1 (! (snd$a (! (fun_app$b (! (pair$a ?v0) :named @p_102) ?v1) :named @p_105)) :named @p_107)) :named @p_109)) :named @p_101))
+(assume a6 (! (member$ (! (pair$ k$ g$) :named @p_403) one_chain_typeI$) :named @p_402))
+(assume a7 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (= bot$ (! (inf$ ?v0 (! (insert$ ?v1 ?v2) :named @p_1)) :named @p_122)) :named @p_124) (! (and (! (not (! (member$a ?v1 ?v0) :named @p_128)) :named @p_130) (! (= bot$ (! (inf$ ?v0 ?v2) :named @p_133)) :named @p_135)) :named @p_137)) :named @p_139)) :named @p_120))
+(assume a8 (! (finite$ bot$) :named @p_414))
+(assume a9 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod$)) (! (=> (! (finite$ ?v0) :named @p_4) (! (finite$ (! (insert$ ?v1 ?v0) :named @p_160)) :named @p_162)) :named @p_164)) :named @p_157))
+(assume a10 (! (= i$ (! (fun_app$b (pair$a 1.0) 0.0) :named @p_417)) :named @p_499))
+(assume a11 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (=> (! (member$a ?v0 ?v1) :named @p_176) (! (= ?v1 (! (insert$ ?v0 ?v1) :named @p_2)) :named @p_181)) :named @p_183)) :named @p_175))
+(assume a12 (! (= j$ (! (fun_app$b (pair$a 0.0) 1.0) :named @p_419)) :named @p_500))
+(assume a13 (! (forall ((?v0 Real_real_prod_set$)) (! (= bot$ (! (inf$ ?v0 bot$) :named @p_196)) :named @p_198)) :named @p_195))
+(assume a14 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod$) (?v2 Real_real_prod_set$)) (! (= (! (insert$ ?v0 @p_1) :named @p_208) (! (insert$ ?v1 (! (insert$ ?v0 ?v2) :named @p_213)) :named @p_215)) :named @p_217)) :named @p_206))
+(assume a15 (! (forall ((?v0 Real_real_prod$) (?v1 Real_real_prod_set$)) (! (= @p_2 (! (sup$ @p_3 ?v1) :named @p_236)) :named @p_238)) :named @p_231))
+(assume a16 (! (forall ((?v0 Real_real_prod_set$) (?v1 Real_real_prod_real_real_prod_fun$) (?v2 Real_real_prod_set$) (?v3 Real_real_real_prod_fun$) (?v4 Real_real_prod_set$)) (! (=> (! (and @p_4 (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v2) :named @p_252) ?v3) :named @p_254) (! (and (! (fun_app$a (! (line_integral_exists$ ?v1 ?v4) :named @p_257) ?v3) :named @p_260) (! (and (! (= ?v0 (! (sup$ ?v2 ?v4) :named @p_265)) :named @p_267) (! (= bot$ (! (inf$ ?v2 ?v4) :named @p_269)) :named @p_271)) :named @p_273)) :named @p_275)) :named @p_277)) :named @p_279) (! (= (! (line_integral$ ?v1 ?v0 ?v3) :named @p_281) (! (+ (! (line_integral$ ?v1 ?v2 ?v3) :named @p_283) (! (line_integral$ ?v1 ?v4 ?v3) :named @p_285)) :named @p_287)) :named @p_289)) :named @p_291)) :named @p_250))
+(assume a17 (! (and (! (= (one_chain_line_integral$ f$ @p_5 one_chain_typeI$) (one_chain_line_integral$ f$ @p_5 one_chain_typeII$)) :named @p_337) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeI$) :named @p_9) (! (case_prod$ uu$ ?v0) :named @p_6)) :named @p_326)) :named @p_322) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> (! (member$ ?v0 one_chain_typeII$) :named @p_8) @p_6) :named @p_331)) :named @p_328)) :named @p_333)) :named @p_336))
+(assume a18 (! (and (! (= (one_chain_line_integral$ f$ @p_7 one_chain_typeII$) (one_chain_line_integral$ f$ @p_7 one_chain_typeI$)) :named @p_377) (! (and (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_8 (! (case_prod$ uua$ ?v0) :named @p_10)) :named @p_366)) :named @p_362) (! (forall ((?v0 Int_real_real_real_prod_fun_prod$)) (! (=> @p_9 @p_10) :named @p_371)) :named @p_368)) :named @p_373)) :named @p_376))
+(assume a19 (not (! (= (! (line_integral$ f$ (! (insert$ i$ @p_7) :named @p_407) g$) :named @p_462) (! (+ (! (line_integral$ f$ @p_5 g$) :named @p_404) (! (line_integral$ f$ @p_7 g$) :named @p_405)) :named @p_463)) :named @p_410)))
+(anchor :step t21 :args ((:= (?v0 Int) veriT_vr0)))
+(step t21.t1 (cl (= ?v0 veriT_vr0)) :rule refl)
+(step t21.t2 (cl (= @p_13 (! (fun_app$ uua$ veriT_vr0) :named @p_14))) :rule cong :premises (t21.t1))
+(step t21.t3 (cl (= @p_15 (! (= @p_12 @p_14) :named @p_16))) :rule cong :premises (t21.t2))
+(step t21 (cl (! (= @p_11 (! (forall ((veriT_vr0 Int)) @p_16) :named @p_18)) :named @p_17)) :rule bind)
+(step t22 (cl (not @p_17) (not @p_11) @p_18) :rule equiv_pos2)
+(step t23 (cl @p_18) :rule th_resolution :premises (a0 t21 t22))
+(anchor :step t24 :args ((:= (veriT_vr0 Int) veriT_vr1)))
+(step t24.t1 (cl (= veriT_vr0 veriT_vr1)) :rule refl)
+(step t24.t2 (cl (= @p_14 (! (fun_app$ uua$ veriT_vr1) :named @p_19))) :rule cong :premises (t24.t1))
+(step t24.t3 (cl (= @p_16 (! (= @p_12 @p_19) :named @p_20))) :rule cong :premises (t24.t2))
+(step t24 (cl (! (= @p_18 (! (forall ((veriT_vr1 Int)) @p_20) :named @p_22)) :named @p_21)) :rule bind)
+(step t25 (cl (not @p_21) (not @p_18) @p_22) :rule equiv_pos2)
+(step t26 (cl @p_22) :rule th_resolution :premises (t23 t24 t25))
+(anchor :step t27 :args ((:= (?v0 Int) veriT_vr2)))
+(step t27.t1 (cl (= ?v0 veriT_vr2)) :rule refl)
+(step t27.t2 (cl (= @p_25 (! (fun_app$ uu$ veriT_vr2) :named @p_26))) :rule cong :premises (t27.t1))
+(step t27.t3 (cl (= @p_27 (! (= @p_24 @p_26) :named @p_28))) :rule cong :premises (t27.t2))
+(step t27 (cl (! (= @p_23 (! (forall ((veriT_vr2 Int)) @p_28) :named @p_30)) :named @p_29)) :rule bind)
+(step t28 (cl (not @p_29) (not @p_23) @p_30) :rule equiv_pos2)
+(step t29 (cl @p_30) :rule th_resolution :premises (a1 t27 t28))
+(anchor :step t30 :args ((:= (veriT_vr2 Int) veriT_vr3)))
+(step t30.t1 (cl (= veriT_vr2 veriT_vr3)) :rule refl)
+(step t30.t2 (cl (= @p_26 (! (fun_app$ uu$ veriT_vr3) :named @p_31))) :rule cong :premises (t30.t1))
+(step t30.t3 (cl (= @p_28 (! (= @p_24 @p_31) :named @p_32))) :rule cong :premises (t30.t2))
+(step t30 (cl (! (= @p_30 (! (forall ((veriT_vr3 Int)) @p_32) :named @p_34)) :named @p_33)) :rule bind)
+(step t31 (cl (not @p_33) (not @p_30) @p_34) :rule equiv_pos2)
+(step t32 (cl @p_34) :rule th_resolution :premises (t29 t30 t31))
+(anchor :step t33 :args ((:= (?v0 Int_real_real_real_prod_fun_bool_fun_fun$) veriT_vr4) (:= (?v1 Int_real_real_real_prod_fun_prod$) veriT_vr5)))
+(step t33.t1 (cl (! (= ?v0 veriT_vr4) :named @p_38)) :rule refl)
+(step t33.t2 (cl (! (= ?v1 veriT_vr5) :named @p_39)) :rule refl)
+(step t33.t3 (cl (= @p_36 (! (case_prod$ veriT_vr4 veriT_vr5) :named @p_37))) :rule cong :premises (t33.t1 t33.t2))
+(step t33.t4 (cl @p_38) :rule refl)
+(step t33.t5 (cl @p_39) :rule refl)
+(step t33.t6 (cl (= @p_40 (! (fst$ veriT_vr5) :named @p_41))) :rule cong :premises (t33.t5))
+(step t33.t7 (cl (= @p_42 (! (fun_app$ veriT_vr4 @p_41) :named @p_43))) :rule cong :premises (t33.t4 t33.t6))
+(step t33.t8 (cl @p_39) :rule refl)
+(step t33.t9 (cl (= @p_44 (! (snd$ veriT_vr5) :named @p_45))) :rule cong :premises (t33.t8))
+(step t33.t10 (cl (= @p_46 (! (fun_app$a @p_43 @p_45) :named @p_47))) :rule cong :premises (t33.t7 t33.t9))
+(step t33.t11 (cl (= @p_48 (! (= @p_37 @p_47) :named @p_49))) :rule cong :premises (t33.t3 t33.t10))
+(step t33 (cl (! (= @p_35 (! (forall ((veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) (veriT_vr5 Int_real_real_real_prod_fun_prod$)) @p_49) :named @p_51)) :named @p_50)) :rule bind)
+(step t34 (cl (not @p_50) (not @p_35) @p_51) :rule equiv_pos2)
+(step t35 (cl @p_51) :rule th_resolution :premises (a2 t33 t34))
+(anchor :step t36 :args ((:= (veriT_vr4 Int_real_real_real_prod_fun_bool_fun_fun$) veriT_vr6) (:= (veriT_vr5 Int_real_real_real_prod_fun_prod$) veriT_vr7)))
+(step t36.t1 (cl (! (= veriT_vr4 veriT_vr6) :named @p_53)) :rule refl)
+(step t36.t2 (cl (! (= veriT_vr5 veriT_vr7) :named @p_54)) :rule refl)
+(step t36.t3 (cl (= @p_37 (! (case_prod$ veriT_vr6 veriT_vr7) :named @p_52))) :rule cong :premises (t36.t1 t36.t2))
+(step t36.t4 (cl @p_53) :rule refl)
+(step t36.t5 (cl @p_54) :rule refl)
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+(step t36.t7 (cl (= @p_43 (! (fun_app$ veriT_vr6 @p_55) :named @p_56))) :rule cong :premises (t36.t4 t36.t6))
+(step t36.t8 (cl @p_54) :rule refl)
+(step t36.t9 (cl (= @p_45 (! (snd$ veriT_vr7) :named @p_57))) :rule cong :premises (t36.t8))
+(step t36.t10 (cl (= @p_47 (! (fun_app$a @p_56 @p_57) :named @p_58))) :rule cong :premises (t36.t7 t36.t9))
+(step t36.t11 (cl (= @p_49 (! (= @p_52 @p_58) :named @p_59))) :rule cong :premises (t36.t3 t36.t10))
+(step t36 (cl (! (= @p_51 (! (forall ((veriT_vr6 Int_real_real_real_prod_fun_bool_fun_fun$) (veriT_vr7 Int_real_real_real_prod_fun_prod$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
+(step t37 (cl (not @p_60) (not @p_51) @p_61) :rule equiv_pos2)
+(step t38 (cl @p_61) :rule th_resolution :premises (t35 t36 t37))
+(anchor :step t39 :args ((:= (?v0 Real_real_prod$) veriT_vr8) (:= (?v1 Real_real_prod$) veriT_vr9)))
+(step t39.t1 (cl (! (= ?v0 veriT_vr8) :named @p_68)) :rule refl)
+(step t39.t2 (cl (= @p_3 (! (insert$ veriT_vr8 bot$) :named @p_63))) :rule cong :premises (t39.t1))
+(step t39.t3 (cl (! (= ?v1 veriT_vr9) :named @p_69)) :rule refl)
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+(step t39.t5 (cl (= @p_66 (! (= @p_63 @p_65) :named @p_67))) :rule cong :premises (t39.t2 t39.t4))
+(step t39.t6 (cl @p_68) :rule refl)
+(step t39.t7 (cl @p_69) :rule refl)
+(step t39.t8 (cl (= @p_70 (! (= veriT_vr8 veriT_vr9) :named @p_71))) :rule cong :premises (t39.t6 t39.t7))
+(step t39.t9 (cl (= @p_72 (! (=> @p_67 @p_71) :named @p_73))) :rule cong :premises (t39.t5 t39.t8))
+(step t39 (cl (! (= @p_62 (! (forall ((veriT_vr8 Real_real_prod$) (veriT_vr9 Real_real_prod$)) @p_73) :named @p_75)) :named @p_74)) :rule bind)
+(step t40 (cl (not @p_74) (not @p_62) @p_75) :rule equiv_pos2)
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+(anchor :step t42 :args ((:= (veriT_vr8 Real_real_prod$) veriT_vr10) (:= (veriT_vr9 Real_real_prod$) veriT_vr11)))
+(step t42.t1 (cl (! (= veriT_vr8 veriT_vr10) :named @p_79)) :rule refl)
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+(step t42.t3 (cl (! (= veriT_vr9 veriT_vr11) :named @p_80)) :rule refl)
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+(step t42.t5 (cl (= @p_67 (! (= @p_76 @p_77) :named @p_78))) :rule cong :premises (t42.t2 t42.t4))
+(step t42.t6 (cl @p_79) :rule refl)
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+(step t42.t9 (cl (= @p_73 (! (=> @p_78 @p_81) :named @p_82))) :rule cong :premises (t42.t5 t42.t8))
+(step t42 (cl (! (= @p_75 (! (forall ((veriT_vr10 Real_real_prod$) (veriT_vr11 Real_real_prod$)) @p_82) :named @p_84)) :named @p_83)) :rule bind)
+(step t43 (cl (not @p_83) (not @p_75) @p_84) :rule equiv_pos2)
+(step t44 (cl @p_84) :rule th_resolution :premises (t41 t42 t43))
+(anchor :step t45 :args ((:= (?v0 Int) veriT_vr12) (:= (?v1 Real_real_real_prod_fun$) veriT_vr13)))
+(step t45.t1 (cl (! (= ?v1 veriT_vr13) :named @p_86)) :rule refl)
+(step t45.t2 (cl (= ?v0 veriT_vr12)) :rule refl)
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+(step t45.t5 (cl (= @p_89 (! (snd$ @p_88) :named @p_90))) :rule cong :premises (t45.t4))
+(step t45.t6 (cl (= @p_91 (! (= veriT_vr13 @p_90) :named @p_92))) :rule cong :premises (t45.t1 t45.t5))
+(step t45 (cl (! (= @p_85 (! (forall ((veriT_vr12 Int) (veriT_vr13 Real_real_real_prod_fun$)) @p_92) :named @p_94)) :named @p_93)) :rule bind)
+(step t46 (cl (not @p_93) (not @p_85) @p_94) :rule equiv_pos2)
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+(anchor :step t48 :args ((:= (veriT_vr12 Int) veriT_vr14) (:= (veriT_vr13 Real_real_real_prod_fun$) veriT_vr15)))
+(step t48.t1 (cl (! (= veriT_vr13 veriT_vr15) :named @p_95)) :rule refl)
+(step t48.t2 (cl (= veriT_vr12 veriT_vr14)) :rule refl)
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+(step t48.t5 (cl (= @p_90 (! (snd$ @p_96) :named @p_97))) :rule cong :premises (t48.t4))
+(step t48.t6 (cl (= @p_92 (! (= veriT_vr15 @p_97) :named @p_98))) :rule cong :premises (t48.t1 t48.t5))
+(step t48 (cl (! (= @p_94 (! (forall ((veriT_vr14 Int) (veriT_vr15 Real_real_real_prod_fun$)) @p_98) :named @p_100)) :named @p_99)) :rule bind)
+(step t49 (cl (not @p_99) (not @p_94) @p_100) :rule equiv_pos2)
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+(anchor :step t51 :args ((:= (?v0 Real) veriT_vr16) (:= (?v1 Real) veriT_vr17)))
+(step t51.t1 (cl (! (= ?v1 veriT_vr17) :named @p_104)) :rule refl)
+(step t51.t2 (cl (= ?v0 veriT_vr16)) :rule refl)
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+(step t51.t4 (cl @p_104) :rule refl)
+(step t51.t5 (cl (= @p_105 (! (fun_app$b @p_103 veriT_vr17) :named @p_106))) :rule cong :premises (t51.t3 t51.t4))
+(step t51.t6 (cl (= @p_107 (! (snd$a @p_106) :named @p_108))) :rule cong :premises (t51.t5))
+(step t51.t7 (cl (= @p_109 (! (= veriT_vr17 @p_108) :named @p_110))) :rule cong :premises (t51.t1 t51.t6))
+(step t51 (cl (! (= @p_101 (! (forall ((veriT_vr16 Real) (veriT_vr17 Real)) @p_110) :named @p_112)) :named @p_111)) :rule bind)
+(step t52 (cl (not @p_111) (not @p_101) @p_112) :rule equiv_pos2)
+(step t53 (cl @p_112) :rule th_resolution :premises (a5 t51 t52))
+(anchor :step t54 :args ((:= (veriT_vr16 Real) veriT_vr18) (:= (veriT_vr17 Real) veriT_vr19)))
+(step t54.t1 (cl (! (= veriT_vr17 veriT_vr19) :named @p_114)) :rule refl)
+(step t54.t2 (cl (= veriT_vr16 veriT_vr18)) :rule refl)
+(step t54.t3 (cl (= @p_103 (! (pair$a veriT_vr18) :named @p_113))) :rule cong :premises (t54.t2))
+(step t54.t4 (cl @p_114) :rule refl)
+(step t54.t5 (cl (= @p_106 (! (fun_app$b @p_113 veriT_vr19) :named @p_115))) :rule cong :premises (t54.t3 t54.t4))
+(step t54.t6 (cl (= @p_108 (! (snd$a @p_115) :named @p_116))) :rule cong :premises (t54.t5))
+(step t54.t7 (cl (= @p_110 (! (= veriT_vr19 @p_116) :named @p_117))) :rule cong :premises (t54.t1 t54.t6))
+(step t54 (cl (! (= @p_112 (! (forall ((veriT_vr18 Real) (veriT_vr19 Real)) @p_117) :named @p_119)) :named @p_118)) :rule bind)
+(step t55 (cl (not @p_118) (not @p_112) @p_119) :rule equiv_pos2)
+(step t56 (cl @p_119) :rule th_resolution :premises (t53 t54 t55))
+(anchor :step t57 :args ((:= (?v0 Real_real_prod_set$) veriT_vr20) (:= (?v1 Real_real_prod$) veriT_vr21) (:= (?v2 Real_real_prod_set$) veriT_vr22)))
+(step t57.t1 (cl (! (= ?v0 veriT_vr20) :named @p_127)) :rule refl)
+(step t57.t2 (cl (! (= ?v1 veriT_vr21) :named @p_126)) :rule refl)
+(step t57.t3 (cl (! (= ?v2 veriT_vr22) :named @p_132)) :rule refl)
+(step t57.t4 (cl (= @p_1 (! (insert$ veriT_vr21 veriT_vr22) :named @p_121))) :rule cong :premises (t57.t2 t57.t3))
+(step t57.t5 (cl (= @p_122 (! (inf$ veriT_vr20 @p_121) :named @p_123))) :rule cong :premises (t57.t1 t57.t4))
+(step t57.t6 (cl (= @p_124 (! (= bot$ @p_123) :named @p_125))) :rule cong :premises (t57.t5))
+(step t57.t7 (cl @p_126) :rule refl)
+(step t57.t8 (cl @p_127) :rule refl)
+(step t57.t9 (cl (= @p_128 (! (member$a veriT_vr21 veriT_vr20) :named @p_129))) :rule cong :premises (t57.t7 t57.t8))
+(step t57.t10 (cl (= @p_130 (! (not @p_129) :named @p_131))) :rule cong :premises (t57.t9))
+(step t57.t11 (cl @p_127) :rule refl)
+(step t57.t12 (cl @p_132) :rule refl)
+(step t57.t13 (cl (= @p_133 (! (inf$ veriT_vr20 veriT_vr22) :named @p_134))) :rule cong :premises (t57.t11 t57.t12))
+(step t57.t14 (cl (= @p_135 (! (= bot$ @p_134) :named @p_136))) :rule cong :premises (t57.t13))
+(step t57.t15 (cl (= @p_137 (! (and @p_131 @p_136) :named @p_138))) :rule cong :premises (t57.t10 t57.t14))
+(step t57.t16 (cl (= @p_139 (! (= @p_125 @p_138) :named @p_140))) :rule cong :premises (t57.t6 t57.t15))
+(step t57 (cl (! (= @p_120 (! (forall ((veriT_vr20 Real_real_prod_set$) (veriT_vr21 Real_real_prod$) (veriT_vr22 Real_real_prod_set$)) @p_140) :named @p_142)) :named @p_141)) :rule bind)
+(step t58 (cl (not @p_141) (not @p_120) @p_142) :rule equiv_pos2)
+(step t59 (cl @p_142) :rule th_resolution :premises (a7 t57 t58))
+(anchor :step t60 :args ((:= (veriT_vr20 Real_real_prod_set$) veriT_vr23) (:= (veriT_vr21 Real_real_prod$) veriT_vr24) (:= (veriT_vr22 Real_real_prod_set$) veriT_vr25)))
+(step t60.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_147)) :rule refl)
+(step t60.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_146)) :rule refl)
+(step t60.t3 (cl (! (= veriT_vr22 veriT_vr25) :named @p_150)) :rule refl)
+(step t60.t4 (cl (= @p_121 (! (insert$ veriT_vr24 veriT_vr25) :named @p_143))) :rule cong :premises (t60.t2 t60.t3))
+(step t60.t5 (cl (= @p_123 (! (inf$ veriT_vr23 @p_143) :named @p_144))) :rule cong :premises (t60.t1 t60.t4))
+(step t60.t6 (cl (= @p_125 (! (= bot$ @p_144) :named @p_145))) :rule cong :premises (t60.t5))
+(step t60.t7 (cl @p_146) :rule refl)
+(step t60.t8 (cl @p_147) :rule refl)
+(step t60.t9 (cl (= @p_129 (! (member$a veriT_vr24 veriT_vr23) :named @p_148))) :rule cong :premises (t60.t7 t60.t8))
+(step t60.t10 (cl (= @p_131 (! (not @p_148) :named @p_149))) :rule cong :premises (t60.t9))
+(step t60.t11 (cl @p_147) :rule refl)
+(step t60.t12 (cl @p_150) :rule refl)
+(step t60.t13 (cl (= @p_134 (! (inf$ veriT_vr23 veriT_vr25) :named @p_151))) :rule cong :premises (t60.t11 t60.t12))
+(step t60.t14 (cl (= @p_136 (! (= bot$ @p_151) :named @p_152))) :rule cong :premises (t60.t13))
+(step t60.t15 (cl (= @p_138 (! (and @p_149 @p_152) :named @p_153))) :rule cong :premises (t60.t10 t60.t14))
+(step t60.t16 (cl (= @p_140 (! (= @p_145 @p_153) :named @p_154))) :rule cong :premises (t60.t6 t60.t15))
+(step t60 (cl (! (= @p_142 (! (forall ((veriT_vr23 Real_real_prod_set$) (veriT_vr24 Real_real_prod$) (veriT_vr25 Real_real_prod_set$)) @p_154) :named @p_156)) :named @p_155)) :rule bind)
+(step t61 (cl (not @p_155) (not @p_142) @p_156) :rule equiv_pos2)
+(step t62 (cl @p_156) :rule th_resolution :premises (t59 t60 t61))
+(anchor :step t63 :args ((:= (?v0 Real_real_prod_set$) veriT_vr26) (:= (?v1 Real_real_prod$) veriT_vr27)))
+(step t63.t1 (cl (! (= ?v0 veriT_vr26) :named @p_159)) :rule refl)
+(step t63.t2 (cl (= @p_4 (! (finite$ veriT_vr26) :named @p_158))) :rule cong :premises (t63.t1))
+(step t63.t3 (cl (= ?v1 veriT_vr27)) :rule refl)
+(step t63.t4 (cl @p_159) :rule refl)
+(step t63.t5 (cl (= @p_160 (! (insert$ veriT_vr27 veriT_vr26) :named @p_161))) :rule cong :premises (t63.t3 t63.t4))
+(step t63.t6 (cl (= @p_162 (! (finite$ @p_161) :named @p_163))) :rule cong :premises (t63.t5))
+(step t63.t7 (cl (= @p_164 (! (=> @p_158 @p_163) :named @p_165))) :rule cong :premises (t63.t2 t63.t6))
+(step t63 (cl (! (= @p_157 (! (forall ((veriT_vr26 Real_real_prod_set$) (veriT_vr27 Real_real_prod$)) @p_165) :named @p_167)) :named @p_166)) :rule bind)
+(step t64 (cl (not @p_166) (not @p_157) @p_167) :rule equiv_pos2)
+(step t65 (cl @p_167) :rule th_resolution :premises (a9 t63 t64))
+(anchor :step t66 :args ((:= (veriT_vr26 Real_real_prod_set$) veriT_vr28) (:= (veriT_vr27 Real_real_prod$) veriT_vr29)))
+(step t66.t1 (cl (! (= veriT_vr26 veriT_vr28) :named @p_169)) :rule refl)
+(step t66.t2 (cl (= @p_158 (! (finite$ veriT_vr28) :named @p_168))) :rule cong :premises (t66.t1))
+(step t66.t3 (cl (= veriT_vr27 veriT_vr29)) :rule refl)
+(step t66.t4 (cl @p_169) :rule refl)
+(step t66.t5 (cl (= @p_161 (! (insert$ veriT_vr29 veriT_vr28) :named @p_170))) :rule cong :premises (t66.t3 t66.t4))
+(step t66.t6 (cl (= @p_163 (! (finite$ @p_170) :named @p_171))) :rule cong :premises (t66.t5))
+(step t66.t7 (cl (= @p_165 (! (=> @p_168 @p_171) :named @p_172))) :rule cong :premises (t66.t2 t66.t6))
+(step t66 (cl (! (= @p_167 (! (forall ((veriT_vr28 Real_real_prod_set$) (veriT_vr29 Real_real_prod$)) @p_172) :named @p_174)) :named @p_173)) :rule bind)
+(step t67 (cl (not @p_173) (not @p_167) @p_174) :rule equiv_pos2)
+(step t68 (cl @p_174) :rule th_resolution :premises (t65 t66 t67))
+(anchor :step t69 :args ((:= (?v0 Real_real_prod$) veriT_vr30) (:= (?v1 Real_real_prod_set$) veriT_vr31)))
+(step t69.t1 (cl (! (= ?v0 veriT_vr30) :named @p_179)) :rule refl)
+(step t69.t2 (cl (! (= ?v1 veriT_vr31) :named @p_178)) :rule refl)
+(step t69.t3 (cl (= @p_176 (! (member$a veriT_vr30 veriT_vr31) :named @p_177))) :rule cong :premises (t69.t1 t69.t2))
+(step t69.t4 (cl @p_178) :rule refl)
+(step t69.t5 (cl @p_179) :rule refl)
+(step t69.t6 (cl @p_178) :rule refl)
+(step t69.t7 (cl (= @p_2 (! (insert$ veriT_vr30 veriT_vr31) :named @p_180))) :rule cong :premises (t69.t5 t69.t6))
+(step t69.t8 (cl (= @p_181 (! (= veriT_vr31 @p_180) :named @p_182))) :rule cong :premises (t69.t4 t69.t7))
+(step t69.t9 (cl (= @p_183 (! (=> @p_177 @p_182) :named @p_184))) :rule cong :premises (t69.t3 t69.t8))
+(step t69 (cl (! (= @p_175 (! (forall ((veriT_vr30 Real_real_prod$) (veriT_vr31 Real_real_prod_set$)) @p_184) :named @p_186)) :named @p_185)) :rule bind)
+(step t70 (cl (not @p_185) (not @p_175) @p_186) :rule equiv_pos2)
+(step t71 (cl @p_186) :rule th_resolution :premises (a11 t69 t70))
+(anchor :step t72 :args ((:= (veriT_vr30 Real_real_prod$) veriT_vr32) (:= (veriT_vr31 Real_real_prod_set$) veriT_vr33)))
+(step t72.t1 (cl (! (= veriT_vr30 veriT_vr32) :named @p_189)) :rule refl)
+(step t72.t2 (cl (! (= veriT_vr31 veriT_vr33) :named @p_188)) :rule refl)
+(step t72.t3 (cl (= @p_177 (! (member$a veriT_vr32 veriT_vr33) :named @p_187))) :rule cong :premises (t72.t1 t72.t2))
+(step t72.t4 (cl @p_188) :rule refl)
+(step t72.t5 (cl @p_189) :rule refl)
+(step t72.t6 (cl @p_188) :rule refl)
+(step t72.t7 (cl (= @p_180 (! (insert$ veriT_vr32 veriT_vr33) :named @p_190))) :rule cong :premises (t72.t5 t72.t6))
+(step t72.t8 (cl (= @p_182 (! (= veriT_vr33 @p_190) :named @p_191))) :rule cong :premises (t72.t4 t72.t7))
+(step t72.t9 (cl (= @p_184 (! (=> @p_187 @p_191) :named @p_192))) :rule cong :premises (t72.t3 t72.t8))
+(step t72 (cl (! (= @p_186 (! (forall ((veriT_vr32 Real_real_prod$) (veriT_vr33 Real_real_prod_set$)) @p_192) :named @p_194)) :named @p_193)) :rule bind)
+(step t73 (cl (not @p_193) (not @p_186) @p_194) :rule equiv_pos2)
+(step t74 (cl @p_194) :rule th_resolution :premises (t71 t72 t73))
+(anchor :step t75 :args ((:= (?v0 Real_real_prod_set$) veriT_vr34)))
+(step t75.t1 (cl (= ?v0 veriT_vr34)) :rule refl)
+(step t75.t2 (cl (= @p_196 (! (inf$ veriT_vr34 bot$) :named @p_197))) :rule cong :premises (t75.t1))
+(step t75.t3 (cl (= @p_198 (! (= bot$ @p_197) :named @p_199))) :rule cong :premises (t75.t2))
+(step t75 (cl (! (= @p_195 (! (forall ((veriT_vr34 Real_real_prod_set$)) @p_199) :named @p_201)) :named @p_200)) :rule bind)
+(step t76 (cl (not @p_200) (not @p_195) @p_201) :rule equiv_pos2)
+(step t77 (cl @p_201) :rule th_resolution :premises (a13 t75 t76))
+(anchor :step t78 :args ((:= (veriT_vr34 Real_real_prod_set$) veriT_vr35)))
+(step t78.t1 (cl (= veriT_vr34 veriT_vr35)) :rule refl)
+(step t78.t2 (cl (= @p_197 (! (inf$ veriT_vr35 bot$) :named @p_202))) :rule cong :premises (t78.t1))
+(step t78.t3 (cl (= @p_199 (! (= bot$ @p_202) :named @p_203))) :rule cong :premises (t78.t2))
+(step t78 (cl (! (= @p_201 (! (forall ((veriT_vr35 Real_real_prod_set$)) @p_203) :named @p_205)) :named @p_204)) :rule bind)
+(step t79 (cl (not @p_204) (not @p_201) @p_205) :rule equiv_pos2)
+(step t80 (cl @p_205) :rule th_resolution :premises (t77 t78 t79))
+(anchor :step t81 :args ((:= (?v0 Real_real_prod$) veriT_vr36) (:= (?v1 Real_real_prod$) veriT_vr37) (:= (?v2 Real_real_prod_set$) veriT_vr38)))
+(step t81.t1 (cl (! (= ?v0 veriT_vr36) :named @p_211)) :rule refl)
+(step t81.t2 (cl (! (= ?v1 veriT_vr37) :named @p_210)) :rule refl)
+(step t81.t3 (cl (! (= ?v2 veriT_vr38) :named @p_212)) :rule refl)
+(step t81.t4 (cl (= @p_1 (! (insert$ veriT_vr37 veriT_vr38) :named @p_207))) :rule cong :premises (t81.t2 t81.t3))
+(step t81.t5 (cl (= @p_208 (! (insert$ veriT_vr36 @p_207) :named @p_209))) :rule cong :premises (t81.t1 t81.t4))
+(step t81.t6 (cl @p_210) :rule refl)
+(step t81.t7 (cl @p_211) :rule refl)
+(step t81.t8 (cl @p_212) :rule refl)
+(step t81.t9 (cl (= @p_213 (! (insert$ veriT_vr36 veriT_vr38) :named @p_214))) :rule cong :premises (t81.t7 t81.t8))
+(step t81.t10 (cl (= @p_215 (! (insert$ veriT_vr37 @p_214) :named @p_216))) :rule cong :premises (t81.t6 t81.t9))
+(step t81.t11 (cl (= @p_217 (! (= @p_209 @p_216) :named @p_218))) :rule cong :premises (t81.t5 t81.t10))
+(step t81 (cl (! (= @p_206 (! (forall ((veriT_vr36 Real_real_prod$) (veriT_vr37 Real_real_prod$) (veriT_vr38 Real_real_prod_set$)) @p_218) :named @p_220)) :named @p_219)) :rule bind)
+(step t82 (cl (not @p_219) (not @p_206) @p_220) :rule equiv_pos2)
+(step t83 (cl @p_220) :rule th_resolution :premises (a14 t81 t82))
+(anchor :step t84 :args ((:= (veriT_vr36 Real_real_prod$) veriT_vr39) (:= (veriT_vr37 Real_real_prod$) veriT_vr40) (:= (veriT_vr38 Real_real_prod_set$) veriT_vr41)))
+(step t84.t1 (cl (! (= veriT_vr36 veriT_vr39) :named @p_224)) :rule refl)
+(step t84.t2 (cl (! (= veriT_vr37 veriT_vr40) :named @p_223)) :rule refl)
+(step t84.t3 (cl (! (= veriT_vr38 veriT_vr41) :named @p_225)) :rule refl)
+(step t84.t4 (cl (= @p_207 (! (insert$ veriT_vr40 veriT_vr41) :named @p_221))) :rule cong :premises (t84.t2 t84.t3))
+(step t84.t5 (cl (= @p_209 (! (insert$ veriT_vr39 @p_221) :named @p_222))) :rule cong :premises (t84.t1 t84.t4))
+(step t84.t6 (cl @p_223) :rule refl)
+(step t84.t7 (cl @p_224) :rule refl)
+(step t84.t8 (cl @p_225) :rule refl)
+(step t84.t9 (cl (= @p_214 (! (insert$ veriT_vr39 veriT_vr41) :named @p_226))) :rule cong :premises (t84.t7 t84.t8))
+(step t84.t10 (cl (= @p_216 (! (insert$ veriT_vr40 @p_226) :named @p_227))) :rule cong :premises (t84.t6 t84.t9))
+(step t84.t11 (cl (= @p_218 (! (= @p_222 @p_227) :named @p_228))) :rule cong :premises (t84.t5 t84.t10))
+(step t84 (cl (! (= @p_220 (! (forall ((veriT_vr39 Real_real_prod$) (veriT_vr40 Real_real_prod$) (veriT_vr41 Real_real_prod_set$)) @p_228) :named @p_230)) :named @p_229)) :rule bind)
+(step t85 (cl (not @p_229) (not @p_220) @p_230) :rule equiv_pos2)
+(step t86 (cl @p_230) :rule th_resolution :premises (t83 t84 t85))
+(anchor :step t87 :args ((:= (?v0 Real_real_prod$) veriT_vr42) (:= (?v1 Real_real_prod_set$) veriT_vr43)))
+(step t87.t1 (cl (! (= ?v0 veriT_vr42) :named @p_233)) :rule refl)
+(step t87.t2 (cl (! (= ?v1 veriT_vr43) :named @p_235)) :rule refl)
+(step t87.t3 (cl (= @p_2 (! (insert$ veriT_vr42 veriT_vr43) :named @p_232))) :rule cong :premises (t87.t1 t87.t2))
+(step t87.t4 (cl @p_233) :rule refl)
+(step t87.t5 (cl (= @p_3 (! (insert$ veriT_vr42 bot$) :named @p_234))) :rule cong :premises (t87.t4))
+(step t87.t6 (cl @p_235) :rule refl)
+(step t87.t7 (cl (= @p_236 (! (sup$ @p_234 veriT_vr43) :named @p_237))) :rule cong :premises (t87.t5 t87.t6))
+(step t87.t8 (cl (= @p_238 (! (= @p_232 @p_237) :named @p_239))) :rule cong :premises (t87.t3 t87.t7))
+(step t87 (cl (! (= @p_231 (! (forall ((veriT_vr42 Real_real_prod$) (veriT_vr43 Real_real_prod_set$)) @p_239) :named @p_241)) :named @p_240)) :rule bind)
+(step t88 (cl (not @p_240) (not @p_231) @p_241) :rule equiv_pos2)
+(step t89 (cl @p_241) :rule th_resolution :premises (a15 t87 t88))
+(anchor :step t90 :args ((:= (veriT_vr42 Real_real_prod$) veriT_vr44) (:= (veriT_vr43 Real_real_prod_set$) veriT_vr45)))
+(step t90.t1 (cl (! (= veriT_vr42 veriT_vr44) :named @p_243)) :rule refl)
+(step t90.t2 (cl (! (= veriT_vr43 veriT_vr45) :named @p_245)) :rule refl)
+(step t90.t3 (cl (= @p_232 (! (insert$ veriT_vr44 veriT_vr45) :named @p_242))) :rule cong :premises (t90.t1 t90.t2))
+(step t90.t4 (cl @p_243) :rule refl)
+(step t90.t5 (cl (= @p_234 (! (insert$ veriT_vr44 bot$) :named @p_244))) :rule cong :premises (t90.t4))
+(step t90.t6 (cl @p_245) :rule refl)
+(step t90.t7 (cl (= @p_237 (! (sup$ @p_244 veriT_vr45) :named @p_246))) :rule cong :premises (t90.t5 t90.t6))
+(step t90.t8 (cl (= @p_239 (! (= @p_242 @p_246) :named @p_247))) :rule cong :premises (t90.t3 t90.t7))
+(step t90 (cl (! (= @p_241 (! (forall ((veriT_vr44 Real_real_prod$) (veriT_vr45 Real_real_prod_set$)) @p_247) :named @p_249)) :named @p_248)) :rule bind)
+(step t91 (cl (not @p_248) (not @p_241) @p_249) :rule equiv_pos2)
+(step t92 (cl @p_249) :rule th_resolution :premises (t89 t90 t91))
+(anchor :step t93 :args ((:= (?v0 Real_real_prod_set$) veriT_vr46) (:= (?v1 Real_real_prod_real_real_prod_fun$) veriT_vr47) (:= (?v2 Real_real_prod_set$) veriT_vr48) (:= (?v3 Real_real_real_prod_fun$) veriT_vr49) (:= (?v4 Real_real_prod_set$) veriT_vr50)))
+(step t93.t1 (cl (! (= ?v0 veriT_vr46) :named @p_262)) :rule refl)
+(step t93.t2 (cl (= @p_4 (! (finite$ veriT_vr46) :named @p_251))) :rule cong :premises (t93.t1))
+(step t93.t3 (cl (! (= ?v1 veriT_vr47) :named @p_256)) :rule refl)
+(step t93.t4 (cl (! (= ?v2 veriT_vr48) :named @p_263)) :rule refl)
+(step t93.t5 (cl (= @p_252 (! (line_integral_exists$ veriT_vr47 veriT_vr48) :named @p_253))) :rule cong :premises (t93.t3 t93.t4))
+(step t93.t6 (cl (! (= ?v3 veriT_vr49) :named @p_259)) :rule refl)
+(step t93.t7 (cl (= @p_254 (! (fun_app$a @p_253 veriT_vr49) :named @p_255))) :rule cong :premises (t93.t5 t93.t6))
+(step t93.t8 (cl @p_256) :rule refl)
+(step t93.t9 (cl (! (= ?v4 veriT_vr50) :named @p_264)) :rule refl)
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+(step t93.t11 (cl @p_259) :rule refl)
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+(step t93.t13 (cl @p_262) :rule refl)
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+(step t93.t15 (cl @p_264) :rule refl)
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+(step t93.t17 (cl (= @p_267 (! (= veriT_vr46 @p_266) :named @p_268))) :rule cong :premises (t93.t13 t93.t16))
+(step t93.t18 (cl @p_263) :rule refl)
+(step t93.t19 (cl @p_264) :rule refl)
+(step t93.t20 (cl (= @p_269 (! (inf$ veriT_vr48 veriT_vr50) :named @p_270))) :rule cong :premises (t93.t18 t93.t19))
+(step t93.t21 (cl (= @p_271 (! (= bot$ @p_270) :named @p_272))) :rule cong :premises (t93.t20))
+(step t93.t22 (cl (= @p_273 (! (and @p_268 @p_272) :named @p_274))) :rule cong :premises (t93.t17 t93.t21))
+(step t93.t23 (cl (= @p_275 (! (and @p_261 @p_274) :named @p_276))) :rule cong :premises (t93.t12 t93.t22))
+(step t93.t24 (cl (= @p_277 (! (and @p_255 @p_276) :named @p_278))) :rule cong :premises (t93.t7 t93.t23))
+(step t93.t25 (cl (= @p_279 (! (and @p_251 @p_278) :named @p_280))) :rule cong :premises (t93.t2 t93.t24))
+(step t93.t26 (cl @p_256) :rule refl)
+(step t93.t27 (cl @p_262) :rule refl)
+(step t93.t28 (cl @p_259) :rule refl)
+(step t93.t29 (cl (= @p_281 (! (line_integral$ veriT_vr47 veriT_vr46 veriT_vr49) :named @p_282))) :rule cong :premises (t93.t26 t93.t27 t93.t28))
+(step t93.t30 (cl @p_256) :rule refl)
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+(step t93.t33 (cl (= @p_283 (! (line_integral$ veriT_vr47 veriT_vr48 veriT_vr49) :named @p_284))) :rule cong :premises (t93.t30 t93.t31 t93.t32))
+(step t93.t34 (cl @p_256) :rule refl)
+(step t93.t35 (cl @p_264) :rule refl)
+(step t93.t36 (cl @p_259) :rule refl)
+(step t93.t37 (cl (= @p_285 (! (line_integral$ veriT_vr47 veriT_vr50 veriT_vr49) :named @p_286))) :rule cong :premises (t93.t34 t93.t35 t93.t36))
+(step t93.t38 (cl (= @p_287 (! (+ @p_284 @p_286) :named @p_288))) :rule cong :premises (t93.t33 t93.t37))
+(step t93.t39 (cl (= @p_289 (! (= @p_282 @p_288) :named @p_290))) :rule cong :premises (t93.t29 t93.t38))
+(step t93.t40 (cl (= @p_291 (! (=> @p_280 @p_290) :named @p_292))) :rule cong :premises (t93.t25 t93.t39))
+(step t93 (cl (! (= @p_250 (! (forall ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)) @p_292) :named @p_294)) :named @p_293)) :rule bind)
+(step t94 (cl (not @p_293) (not @p_250) @p_294) :rule equiv_pos2)
+(step t95 (cl @p_294) :rule th_resolution :premises (a16 t93 t94))
+(anchor :step t96 :args ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)))
+(step t96.t1 (cl (= @p_280 (! (and @p_251 @p_255 @p_261 @p_268 @p_272) :named @p_295))) :rule ac_simp)
+(step t96.t2 (cl (= @p_292 (! (=> @p_295 @p_290) :named @p_296))) :rule cong :premises (t96.t1))
+(step t96 (cl (! (= @p_294 (! (forall ((veriT_vr46 Real_real_prod_set$) (veriT_vr47 Real_real_prod_real_real_prod_fun$) (veriT_vr48 Real_real_prod_set$) (veriT_vr49 Real_real_real_prod_fun$) (veriT_vr50 Real_real_prod_set$)) @p_296) :named @p_298)) :named @p_297)) :rule bind)
+(step t97 (cl (not @p_297) (not @p_294) @p_298) :rule equiv_pos2)
+(step t98 (cl @p_298) :rule th_resolution :premises (t95 t96 t97))
+(anchor :step t99 :args ((:= (veriT_vr46 Real_real_prod_set$) veriT_vr51) (:= (veriT_vr47 Real_real_prod_real_real_prod_fun$) veriT_vr52) (:= (veriT_vr48 Real_real_prod_set$) veriT_vr53) (:= (veriT_vr49 Real_real_real_prod_fun$) veriT_vr54) (:= (veriT_vr50 Real_real_prod_set$) veriT_vr55)))
+(step t99.t1 (cl (! (= veriT_vr46 veriT_vr51) :named @p_306)) :rule refl)
+(step t99.t2 (cl (= @p_251 (! (finite$ veriT_vr51) :named @p_299))) :rule cong :premises (t99.t1))
+(step t99.t3 (cl (! (= veriT_vr47 veriT_vr52) :named @p_302)) :rule refl)
+(step t99.t4 (cl (! (= veriT_vr48 veriT_vr53) :named @p_307)) :rule refl)
+(step t99.t5 (cl (= @p_253 (! (line_integral_exists$ veriT_vr52 veriT_vr53) :named @p_300))) :rule cong :premises (t99.t3 t99.t4))
+(step t99.t6 (cl (! (= veriT_vr49 veriT_vr54) :named @p_304)) :rule refl)
+(step t99.t7 (cl (= @p_255 (! (fun_app$a @p_300 veriT_vr54) :named @p_301))) :rule cong :premises (t99.t5 t99.t6))
+(step t99.t8 (cl @p_302) :rule refl)
+(step t99.t9 (cl (! (= veriT_vr50 veriT_vr55) :named @p_308)) :rule refl)
+(step t99.t10 (cl (= @p_258 (! (line_integral_exists$ veriT_vr52 veriT_vr55) :named @p_303))) :rule cong :premises (t99.t8 t99.t9))
+(step t99.t11 (cl @p_304) :rule refl)
+(step t99.t12 (cl (= @p_261 (! (fun_app$a @p_303 veriT_vr54) :named @p_305))) :rule cong :premises (t99.t10 t99.t11))
+(step t99.t13 (cl @p_306) :rule refl)
+(step t99.t14 (cl @p_307) :rule refl)
+(step t99.t15 (cl @p_308) :rule refl)
+(step t99.t16 (cl (= @p_266 (! (sup$ veriT_vr53 veriT_vr55) :named @p_309))) :rule cong :premises (t99.t14 t99.t15))
+(step t99.t17 (cl (= @p_268 (! (= veriT_vr51 @p_309) :named @p_310))) :rule cong :premises (t99.t13 t99.t16))
+(step t99.t18 (cl @p_307) :rule refl)
+(step t99.t19 (cl @p_308) :rule refl)
+(step t99.t20 (cl (= @p_270 (! (inf$ veriT_vr53 veriT_vr55) :named @p_311))) :rule cong :premises (t99.t18 t99.t19))
+(step t99.t21 (cl (= @p_272 (! (= bot$ @p_311) :named @p_312))) :rule cong :premises (t99.t20))
+(step t99.t22 (cl (= @p_295 (! (and @p_299 @p_301 @p_305 @p_310 @p_312) :named @p_313))) :rule cong :premises (t99.t2 t99.t7 t99.t12 t99.t17 t99.t21))
+(step t99.t23 (cl @p_302) :rule refl)
+(step t99.t24 (cl @p_306) :rule refl)
+(step t99.t25 (cl @p_304) :rule refl)
+(step t99.t26 (cl (= @p_282 (! (line_integral$ veriT_vr52 veriT_vr51 veriT_vr54) :named @p_314))) :rule cong :premises (t99.t23 t99.t24 t99.t25))
+(step t99.t27 (cl @p_302) :rule refl)
+(step t99.t28 (cl @p_307) :rule refl)
+(step t99.t29 (cl @p_304) :rule refl)
+(step t99.t30 (cl (= @p_284 (! (line_integral$ veriT_vr52 veriT_vr53 veriT_vr54) :named @p_315))) :rule cong :premises (t99.t27 t99.t28 t99.t29))
+(step t99.t31 (cl @p_302) :rule refl)
+(step t99.t32 (cl @p_308) :rule refl)
+(step t99.t33 (cl @p_304) :rule refl)
+(step t99.t34 (cl (= @p_286 (! (line_integral$ veriT_vr52 veriT_vr55 veriT_vr54) :named @p_316))) :rule cong :premises (t99.t31 t99.t32 t99.t33))
+(step t99.t35 (cl (= @p_288 (! (+ @p_315 @p_316) :named @p_317))) :rule cong :premises (t99.t30 t99.t34))
+(step t99.t36 (cl (= @p_290 (! (= @p_314 @p_317) :named @p_318))) :rule cong :premises (t99.t26 t99.t35))
+(step t99.t37 (cl (= @p_296 (! (=> @p_313 @p_318) :named @p_319))) :rule cong :premises (t99.t22 t99.t36))
+(step t99 (cl (! (= @p_298 (! (forall ((veriT_vr51 Real_real_prod_set$) (veriT_vr52 Real_real_prod_real_real_prod_fun$) (veriT_vr53 Real_real_prod_set$) (veriT_vr54 Real_real_real_prod_fun$) (veriT_vr55 Real_real_prod_set$)) @p_319) :named @p_321)) :named @p_320)) :rule bind)
+(step t100 (cl (not @p_320) (not @p_298) @p_321) :rule equiv_pos2)
+(step t101 (cl @p_321) :rule th_resolution :premises (t98 t99 t100))
+(anchor :step t102 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr56)))
+(step t102.t1 (cl (! (= ?v0 veriT_vr56) :named @p_324)) :rule refl)
+(step t102.t2 (cl (= @p_9 (! (member$ veriT_vr56 one_chain_typeI$) :named @p_323))) :rule cong :premises (t102.t1))
+(step t102.t3 (cl @p_324) :rule refl)
+(step t102.t4 (cl (! (= @p_6 (! (case_prod$ uu$ veriT_vr56) :named @p_325)) :named @p_330)) :rule cong :premises (t102.t3))
+(step t102.t5 (cl (= @p_326 (! (=> @p_323 @p_325) :named @p_327))) :rule cong :premises (t102.t2 t102.t4))
+(step t102 (cl (= @p_322 (! (forall ((veriT_vr56 Int_real_real_real_prod_fun_prod$)) @p_327) :named @p_334))) :rule bind)
+(anchor :step t103 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr56)))
+(step t103.t1 (cl @p_324) :rule refl)
+(step t103.t2 (cl (= @p_8 (! (member$ veriT_vr56 one_chain_typeII$) :named @p_329))) :rule cong :premises (t103.t1))
+(step t103.t3 (cl @p_324) :rule refl)
+(step t103.t4 (cl @p_330) :rule cong :premises (t103.t3))
+(step t103.t5 (cl (= @p_331 (! (=> @p_329 @p_325) :named @p_332))) :rule cong :premises (t103.t2 t103.t4))
+(step t103 (cl (= @p_328 (! (forall ((veriT_vr56 Int_real_real_real_prod_fun_prod$)) @p_332) :named @p_335))) :rule bind)
+(step t104 (cl (= @p_333 (! (and @p_334 @p_335) :named @p_338))) :rule cong :premises (t102 t103))
+(step t105 (cl (! (= @p_336 (! (and @p_337 @p_338) :named @p_340)) :named @p_339)) :rule cong :premises (t104))
+(step t106 (cl (not @p_339) (not @p_336) @p_340) :rule equiv_pos2)
+(step t107 (cl @p_340) :rule th_resolution :premises (a17 t105 t106))
+(step t108 (cl (! (= @p_340 (! (and @p_337 @p_334 @p_335) :named @p_342)) :named @p_341)) :rule ac_simp)
+(step t109 (cl (not @p_341) (not @p_340) @p_342) :rule equiv_pos2)
+(step t110 (cl @p_342) :rule th_resolution :premises (t107 t108 t109))
+(anchor :step t111 :args ((:= (veriT_vr56 Int_real_real_real_prod_fun_prod$) veriT_vr57)))
+(step t111.t1 (cl (! (= veriT_vr56 veriT_vr57) :named @p_344)) :rule refl)
+(step t111.t2 (cl (= @p_329 (! (member$ veriT_vr57 one_chain_typeII$) :named @p_343))) :rule cong :premises (t111.t1))
+(step t111.t3 (cl @p_344) :rule refl)
+(step t111.t4 (cl (= @p_325 (! (case_prod$ uu$ veriT_vr57) :named @p_345))) :rule cong :premises (t111.t3))
+(step t111.t5 (cl (= @p_332 (! (=> @p_343 @p_345) :named @p_346))) :rule cong :premises (t111.t2 t111.t4))
+(step t111 (cl (= @p_335 (! (forall ((veriT_vr57 Int_real_real_real_prod_fun_prod$)) @p_346) :named @p_347))) :rule bind)
+(step t112 (cl (! (= @p_342 (! (and @p_337 @p_334 @p_347) :named @p_349)) :named @p_348)) :rule cong :premises (t111))
+(step t113 (cl (not @p_348) (not @p_342) @p_349) :rule equiv_pos2)
+(step t114 (cl @p_349) :rule th_resolution :premises (t110 t112 t113))
+(anchor :step t115 :args ((:= (veriT_vr56 Int_real_real_real_prod_fun_prod$) veriT_vr58)))
+(step t115.t1 (cl (! (= veriT_vr56 veriT_vr58) :named @p_351)) :rule refl)
+(step t115.t2 (cl (= @p_323 (! (member$ veriT_vr58 one_chain_typeI$) :named @p_350))) :rule cong :premises (t115.t1))
+(step t115.t3 (cl @p_351) :rule refl)
+(step t115.t4 (cl (= @p_325 (! (case_prod$ uu$ veriT_vr58) :named @p_352))) :rule cong :premises (t115.t3))
+(step t115.t5 (cl (= @p_327 (! (=> @p_350 @p_352) :named @p_353))) :rule cong :premises (t115.t2 t115.t4))
+(step t115 (cl (= @p_334 (! (forall ((veriT_vr58 Int_real_real_real_prod_fun_prod$)) @p_353) :named @p_358))) :rule bind)
+(anchor :step t116 :args ((:= (veriT_vr57 Int_real_real_real_prod_fun_prod$) veriT_vr59)))
+(step t116.t1 (cl (! (= veriT_vr57 veriT_vr59) :named @p_355)) :rule refl)
+(step t116.t2 (cl (= @p_343 (! (member$ veriT_vr59 one_chain_typeII$) :named @p_354))) :rule cong :premises (t116.t1))
+(step t116.t3 (cl @p_355) :rule refl)
+(step t116.t4 (cl (= @p_345 (! (case_prod$ uu$ veriT_vr59) :named @p_356))) :rule cong :premises (t116.t3))
+(step t116.t5 (cl (= @p_346 (! (=> @p_354 @p_356) :named @p_357))) :rule cong :premises (t116.t2 t116.t4))
+(step t116 (cl (= @p_347 (! (forall ((veriT_vr59 Int_real_real_real_prod_fun_prod$)) @p_357) :named @p_359))) :rule bind)
+(step t117 (cl (! (= @p_349 (! (and @p_337 @p_358 @p_359) :named @p_361)) :named @p_360)) :rule cong :premises (t115 t116))
+(step t118 (cl (not @p_360) (not @p_349) @p_361) :rule equiv_pos2)
+(step t119 (cl @p_361) :rule th_resolution :premises (t114 t117 t118))
+(anchor :step t120 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr60)))
+(step t120.t1 (cl (! (= ?v0 veriT_vr60) :named @p_364)) :rule refl)
+(step t120.t2 (cl (= @p_8 (! (member$ veriT_vr60 one_chain_typeII$) :named @p_363))) :rule cong :premises (t120.t1))
+(step t120.t3 (cl @p_364) :rule refl)
+(step t120.t4 (cl (! (= @p_10 (! (case_prod$ uua$ veriT_vr60) :named @p_365)) :named @p_370)) :rule cong :premises (t120.t3))
+(step t120.t5 (cl (= @p_366 (! (=> @p_363 @p_365) :named @p_367))) :rule cong :premises (t120.t2 t120.t4))
+(step t120 (cl (= @p_362 (! (forall ((veriT_vr60 Int_real_real_real_prod_fun_prod$)) @p_367) :named @p_374))) :rule bind)
+(anchor :step t121 :args ((:= (?v0 Int_real_real_real_prod_fun_prod$) veriT_vr60)))
+(step t121.t1 (cl @p_364) :rule refl)
+(step t121.t2 (cl (= @p_9 (! (member$ veriT_vr60 one_chain_typeI$) :named @p_369))) :rule cong :premises (t121.t1))
+(step t121.t3 (cl @p_364) :rule refl)
+(step t121.t4 (cl @p_370) :rule cong :premises (t121.t3))
+(step t121.t5 (cl (= @p_371 (! (=> @p_369 @p_365) :named @p_372))) :rule cong :premises (t121.t2 t121.t4))
+(step t121 (cl (= @p_368 (! (forall ((veriT_vr60 Int_real_real_real_prod_fun_prod$)) @p_372) :named @p_375))) :rule bind)
+(step t122 (cl (= @p_373 (! (and @p_374 @p_375) :named @p_378))) :rule cong :premises (t120 t121))
+(step t123 (cl (! (= @p_376 (! (and @p_377 @p_378) :named @p_380)) :named @p_379)) :rule cong :premises (t122))
+(step t124 (cl (not @p_379) (not @p_376) @p_380) :rule equiv_pos2)
+(step t125 (cl @p_380) :rule th_resolution :premises (a18 t123 t124))
+(step t126 (cl (! (= @p_380 (! (and @p_377 @p_374 @p_375) :named @p_382)) :named @p_381)) :rule ac_simp)
+(step t127 (cl (not @p_381) (not @p_380) @p_382) :rule equiv_pos2)
+(step t128 (cl @p_382) :rule th_resolution :premises (t125 t126 t127))
+(anchor :step t129 :args ((:= (veriT_vr60 Int_real_real_real_prod_fun_prod$) veriT_vr61)))
+(step t129.t1 (cl (! (= veriT_vr60 veriT_vr61) :named @p_384)) :rule refl)
+(step t129.t2 (cl (= @p_369 (! (member$ veriT_vr61 one_chain_typeI$) :named @p_383))) :rule cong :premises (t129.t1))
+(step t129.t3 (cl @p_384) :rule refl)
+(step t129.t4 (cl (= @p_365 (! (case_prod$ uua$ veriT_vr61) :named @p_385))) :rule cong :premises (t129.t3))
+(step t129.t5 (cl (= @p_372 (! (=> @p_383 @p_385) :named @p_386))) :rule cong :premises (t129.t2 t129.t4))
+(step t129 (cl (= @p_375 (! (forall ((veriT_vr61 Int_real_real_real_prod_fun_prod$)) @p_386) :named @p_387))) :rule bind)
+(step t130 (cl (! (= @p_382 (! (and @p_377 @p_374 @p_387) :named @p_389)) :named @p_388)) :rule cong :premises (t129))
+(step t131 (cl (not @p_388) (not @p_382) @p_389) :rule equiv_pos2)
+(step t132 (cl @p_389) :rule th_resolution :premises (t128 t130 t131))
+(anchor :step t133 :args ((:= (veriT_vr60 Int_real_real_real_prod_fun_prod$) veriT_vr62)))
+(step t133.t1 (cl (! (= veriT_vr60 veriT_vr62) :named @p_391)) :rule refl)
+(step t133.t2 (cl (= @p_363 (! (member$ veriT_vr62 one_chain_typeII$) :named @p_390))) :rule cong :premises (t133.t1))
+(step t133.t3 (cl @p_391) :rule refl)
+(step t133.t4 (cl (= @p_365 (! (case_prod$ uua$ veriT_vr62) :named @p_392))) :rule cong :premises (t133.t3))
+(step t133.t5 (cl (= @p_367 (! (=> @p_390 @p_392) :named @p_393))) :rule cong :premises (t133.t2 t133.t4))
+(step t133 (cl (= @p_374 (! (forall ((veriT_vr62 Int_real_real_real_prod_fun_prod$)) @p_393) :named @p_398))) :rule bind)
+(anchor :step t134 :args ((:= (veriT_vr61 Int_real_real_real_prod_fun_prod$) veriT_vr63)))
+(step t134.t1 (cl (! (= veriT_vr61 veriT_vr63) :named @p_395)) :rule refl)
+(step t134.t2 (cl (= @p_383 (! (member$ veriT_vr63 one_chain_typeI$) :named @p_394))) :rule cong :premises (t134.t1))
+(step t134.t3 (cl @p_395) :rule refl)
+(step t134.t4 (cl (= @p_385 (! (case_prod$ uua$ veriT_vr63) :named @p_396))) :rule cong :premises (t134.t3))
+(step t134.t5 (cl (= @p_386 (! (=> @p_394 @p_396) :named @p_397))) :rule cong :premises (t134.t2 t134.t4))
+(step t134 (cl (= @p_387 (! (forall ((veriT_vr63 Int_real_real_real_prod_fun_prod$)) @p_397) :named @p_399))) :rule bind)
+(step t135 (cl (! (= @p_389 (! (and @p_377 @p_398 @p_399) :named @p_401)) :named @p_400)) :rule cong :premises (t133 t134))
+(step t136 (cl (not @p_400) (not @p_389) @p_401) :rule equiv_pos2)
+(step t137 (cl @p_401) :rule th_resolution :premises (t132 t135 t136))
+(step t138 (cl @p_358) :rule and :premises (t119))
+(step t139 (cl @p_399) :rule and :premises (t137))
+(step t140 (cl (or (! (not @p_399) :named @p_422) (! (=> @p_402 (! (case_prod$ uua$ @p_403) :named @p_421)) :named @p_420))) :rule forall_inst :args ((:= veriT_vr63 @p_403)))
+(step t141 (cl (or (! (not @p_358) :named @p_427) (! (=> @p_402 (! (case_prod$ uu$ @p_403) :named @p_426)) :named @p_424))) :rule forall_inst :args ((:= veriT_vr58 @p_403)))
+(step t142 (cl (or (! (not @p_321) :named @p_406) (! (=> (! (and (! (finite$ @p_5) :named @p_415) (! (fun_app$a @p_12 g$) :named @p_409) (! (fun_app$a @p_24 g$) :named @p_408) (! (= @p_5 (! (sup$ @p_7 @p_5) :named @p_466)) :named @p_430) (! (= bot$ (inf$ @p_7 @p_5)) :named @p_431)) :named @p_429) (! (= @p_404 (! (+ @p_405 @p_404) :named @p_528)) :named @p_433)) :named @p_432))) :rule forall_inst :args ((:= veriT_vr51 @p_5) (:= veriT_vr52 f$) (:= veriT_vr53 @p_7) (:= veriT_vr54 g$) (:= veriT_vr55 @p_5)))
+(step t143 (cl (or @p_406 (! (=> (! (and (! (finite$ @p_407) :named @p_412) @p_408 @p_409 (! (= @p_407 (sup$ @p_5 @p_7)) :named @p_411) (! (= bot$ (inf$ @p_5 @p_7)) :named @p_437)) :named @p_434) @p_410) :named @p_438))) :rule forall_inst :args ((:= veriT_vr51 @p_407) (:= veriT_vr52 f$) (:= veriT_vr53 @p_5) (:= veriT_vr54 g$) (:= veriT_vr55 @p_7)))
+(step t144 (cl (or (! (not @p_249) :named @p_441) @p_411)) :rule forall_inst :args ((:= veriT_vr44 i$) (:= veriT_vr45 @p_7)))
+(step t145 (cl (or (! (not @p_230) :named @p_442) (! (= @p_407 (! (insert$ j$ @p_5) :named @p_467)) :named @p_443))) :rule forall_inst :args ((:= veriT_vr39 j$) (:= veriT_vr40 i$) (:= veriT_vr41 bot$)))
+(step t146 (cl (or (! (not @p_194) :named @p_447) (! (=> (! (member$a i$ @p_7) :named @p_445) (! (= @p_7 @p_407) :named @p_446)) :named @p_444))) :rule forall_inst :args ((:= veriT_vr32 i$) (:= veriT_vr33 @p_7)))
+(step t147 (cl (or (! (not @p_174) :named @p_413) (! (=> (! (finite$ @p_7) :named @p_416) @p_412) :named @p_448))) :rule forall_inst :args ((:= veriT_vr28 @p_7) (:= veriT_vr29 i$)))
+(step t148 (cl (or @p_413 (! (=> @p_414 @p_415) :named @p_449))) :rule forall_inst :args ((:= veriT_vr28 bot$) (:= veriT_vr29 i$)))
+(step t149 (cl (or @p_413 (! (=> @p_414 @p_416) :named @p_451))) :rule forall_inst :args ((:= veriT_vr28 bot$) (:= veriT_vr29 j$)))
+(step t150 (cl (or (! (not @p_119) :named @p_418) (! (= 0.0 (! (snd$a @p_417) :named @p_495)) :named @p_454))) :rule forall_inst :args ((:= veriT_vr18 1.0) (:= veriT_vr19 0.0)))
+(step t151 (cl (or @p_418 (! (= 1.0 (! (snd$a @p_419) :named @p_496)) :named @p_455))) :rule forall_inst :args ((:= veriT_vr18 0.0) (:= veriT_vr19 1.0)))
+(step t152 (cl (or (! (not @p_100) :named @p_456) (! (= g$ (! (snd$ @p_403) :named @p_471)) :named @p_457))) :rule forall_inst :args ((:= veriT_vr14 k$) (:= veriT_vr15 g$)))
+(step t153 (cl (or (! (not @p_84) :named @p_461) (! (=> (! (= @p_7 @p_5) :named @p_459) (! (= j$ i$) :named @p_460)) :named @p_458))) :rule forall_inst :args ((:= veriT_vr10 i$) (:= veriT_vr11 j$)))
+(step t154 (cl (! (not @p_420) :named @p_423) (! (not @p_402) :named @p_425) @p_421) :rule implies_pos)
+(step t155 (cl @p_422 @p_420) :rule or :premises (t140))
+(step t156 (cl @p_423 @p_421) :rule resolution :premises (t154 a6))
+(step t157 (cl @p_420) :rule resolution :premises (t155 t139))
+(step t158 (cl @p_421) :rule resolution :premises (t156 t157))
+(step t159 (cl (! (not @p_424) :named @p_428) @p_425 @p_426) :rule implies_pos)
+(step t160 (cl @p_427 @p_424) :rule or :premises (t141))
+(step t161 (cl @p_428 @p_426) :rule resolution :premises (t159 a6))
+(step t162 (cl @p_424) :rule resolution :premises (t160 t138))
+(step t163 (cl @p_426) :rule resolution :premises (t161 t162))
+(step t164 (cl @p_429 (not @p_415) (! (not @p_409) :named @p_436) (! (not @p_408) :named @p_435) (not @p_430) (not @p_431)) :rule and_neg)
+(step t165 (cl (not @p_432) (not @p_429) @p_433) :rule implies_pos)
+(step t166 (cl @p_406 @p_432) :rule or :premises (t142))
+(step t167 (cl @p_432) :rule resolution :premises (t166 t101))
+(step t168 (cl @p_434 (not @p_412) @p_435 @p_436 (not @p_411) (! (not @p_437) :named @p_515)) :rule and_neg)
+(step t169 (cl (! (not @p_438) :named @p_439) (! (not @p_434) :named @p_440) @p_410) :rule implies_pos)
+(step t170 (cl @p_406 @p_438) :rule or :premises (t143))
+(step t171 (cl @p_439 @p_440) :rule resolution :premises (t169 a19))
+(step t172 (cl @p_438) :rule resolution :premises (t170 t101))
+(step t173 (cl @p_440) :rule resolution :premises (t171 t172))
+(step t174 (cl @p_441 @p_411) :rule or :premises (t144))
+(step t175 (cl @p_411) :rule resolution :premises (t174 t92))
+(step t176 (cl @p_442 @p_443) :rule or :premises (t145))
+(step t177 (cl @p_443) :rule resolution :premises (t176 t86))
+(step t178 (cl (not @p_444) (! (not @p_445) :named @p_470) @p_446) :rule implies_pos)
+(step t179 (cl @p_447 @p_444) :rule or :premises (t146))
+(step t180 (cl @p_444) :rule resolution :premises (t179 t74))
+(step t181 (cl (not @p_448) (not @p_416) @p_412) :rule implies_pos)
+(step t182 (cl @p_413 @p_448) :rule or :premises (t147))
+(step t183 (cl @p_448) :rule resolution :premises (t182 t68))
+(step t184 (cl (! (not @p_449) :named @p_450) (! (not @p_414) :named @p_452) @p_415) :rule implies_pos)
+(step t185 (cl @p_413 @p_449) :rule or :premises (t148))
+(step t186 (cl @p_450 @p_415) :rule resolution :premises (t184 a8))
+(step t187 (cl @p_449) :rule resolution :premises (t185 t68))
+(step t188 (cl @p_415) :rule resolution :premises (t186 t187))
+(step t189 (cl (! (not @p_451) :named @p_453) @p_452 @p_416) :rule implies_pos)
+(step t190 (cl @p_413 @p_451) :rule or :premises (t149))
+(step t191 (cl @p_453 @p_416) :rule resolution :premises (t189 a8))
+(step t192 (cl @p_451) :rule resolution :premises (t190 t68))
+(step t193 (cl @p_416) :rule resolution :premises (t191 t192))
+(step t194 (cl @p_412) :rule resolution :premises (t181 t193 t183))
+(step t195 (cl @p_418 @p_454) :rule or :premises (t150))
+(step t196 (cl @p_454) :rule resolution :premises (t195 t56))
+(step t197 (cl @p_418 @p_455) :rule or :premises (t151))
+(step t198 (cl @p_455) :rule resolution :premises (t197 t56))
+(step t199 (cl @p_456 @p_457) :rule or :premises (t152))
+(step t200 (cl @p_457) :rule resolution :premises (t199 t50))
+(step t201 (cl (not @p_458) (! (not @p_459) :named @p_507) @p_460) :rule implies_pos)
+(step t202 (cl @p_461 @p_458) :rule or :premises (t153))
+(step t203 (cl @p_458) :rule resolution :premises (t202 t44))
+(step t204 (cl (or @p_410 (! (not (! (<= @p_462 @p_463) :named @p_534)) :named @p_464) (! (not (! (<= @p_463 @p_462) :named @p_535)) :named @p_465))) :rule la_disequality)
+(step t205 (cl @p_410 @p_464 @p_465) :rule or :premises (t204))
+(step t206 (cl @p_464 @p_465) :rule resolution :premises (t205 a19))
+(step t207 (cl (or @p_441 (! (= @p_466 @p_467) :named @p_474))) :rule forall_inst :args ((:= veriT_vr44 j$) (:= veriT_vr45 @p_5)))
+(step t208 (cl (or @p_447 (! (=> (! (member$a j$ @p_5) :named @p_468) (! (= @p_5 @p_467) :named @p_477)) :named @p_475))) :rule forall_inst :args ((:= veriT_vr32 j$) (:= veriT_vr33 @p_5)))
+(step t209 (cl (or (! (not @p_156) :named @p_469) (! (= @p_437 (! (and (! (not @p_468) :named @p_476) (! (= bot$ (inf$ @p_5 bot$)) :named @p_479)) :named @p_478)) :named @p_482))) :rule forall_inst :args ((:= veriT_vr23 @p_5) (:= veriT_vr24 j$) (:= veriT_vr25 bot$)))
+(step t210 (cl (or @p_469 (! (= @p_431 (! (and @p_470 (! (= bot$ (inf$ @p_7 bot$)) :named @p_485)) :named @p_483)) :named @p_487))) :rule forall_inst :args ((:= veriT_vr23 @p_7) (:= veriT_vr24 i$) (:= veriT_vr25 bot$)))
+(step t211 (cl (or (! (not @p_61) :named @p_472) (! (= @p_426 (! (fun_app$a (! (fun_app$ uu$ (! (fst$ @p_403) :named @p_473)) :named @p_508) @p_471) :named @p_489)) :named @p_488))) :rule forall_inst :args ((:= veriT_vr6 uu$) (:= veriT_vr7 @p_403)))
+(step t212 (cl (or @p_472 (! (= @p_421 (! (fun_app$a (! (fun_app$ uua$ @p_473) :named @p_509) @p_471) :named @p_492)) :named @p_491))) :rule forall_inst :args ((:= veriT_vr6 uua$) (:= veriT_vr7 @p_403)))
+(step t213 (cl @p_441 @p_474) :rule or :premises (t207))
+(step t214 (cl @p_474) :rule resolution :premises (t213 t92))
+(step t215 (cl (not @p_475) @p_476 @p_477) :rule implies_pos)
+(step t216 (cl @p_447 @p_475) :rule or :premises (t208))
+(step t217 (cl @p_475) :rule resolution :premises (t216 t74))
+(step t218 (cl (not (! (not @p_470) :named @p_484)) @p_445) :rule not_not)
+(step t219 (cl @p_478 (! (not @p_476) :named @p_480) (! (not @p_479) :named @p_481)) :rule and_neg)
+(step t220 (cl (not @p_480) @p_468) :rule not_not)
+(step t221 (cl @p_478 @p_468 @p_481) :rule th_resolution :premises (t220 t219))
+(step t222 (cl (not @p_482) @p_437 (! (not @p_478) :named @p_516)) :rule equiv_pos1)
+(step t223 (cl @p_469 @p_482) :rule or :premises (t209))
+(step t224 (cl @p_482) :rule resolution :premises (t223 t62))
+(step t225 (cl @p_483 @p_484 (! (not @p_485) :named @p_486)) :rule and_neg)
+(step t226 (cl @p_483 @p_445 @p_486) :rule th_resolution :premises (t218 t225))
+(step t227 (cl (not @p_487) @p_431 (not @p_483)) :rule equiv_pos1)
+(step t228 (cl @p_469 @p_487) :rule or :premises (t210))
+(step t229 (cl @p_487) :rule resolution :premises (t228 t62))
+(step t230 (cl (! (not @p_488) :named @p_490) (not @p_426) @p_489) :rule equiv_pos2)
+(step t231 (cl @p_472 @p_488) :rule or :premises (t211))
+(step t232 (cl @p_490 @p_489) :rule resolution :premises (t230 t163))
+(step t233 (cl @p_488) :rule resolution :premises (t231 t38))
+(step t234 (cl @p_489) :rule resolution :premises (t232 t233))
+(step t235 (cl (! (not @p_491) :named @p_493) (not @p_421) @p_492) :rule equiv_pos2)
+(step t236 (cl @p_472 @p_491) :rule or :premises (t212))
+(step t237 (cl @p_493 @p_492) :rule resolution :premises (t235 t158))
+(step t238 (cl @p_491) :rule resolution :premises (t236 t38))
+(step t239 (cl @p_492) :rule resolution :premises (t237 t238))
+(step t240 (cl (or (! (not @p_205) :named @p_494) @p_479)) :rule forall_inst :args ((:= veriT_vr35 @p_5)))
+(step t241 (cl (or @p_494 @p_485)) :rule forall_inst :args ((:= veriT_vr35 @p_7)))
+(step t242 (cl @p_494 @p_479) :rule or :premises (t240))
+(step t243 (cl @p_479) :rule resolution :premises (t242 t80))
+(step t244 (cl @p_494 @p_485) :rule or :premises (t241))
+(step t245 (cl @p_485) :rule resolution :premises (t244 t80))
+(step t246 (cl (! (= @p_7 @p_7) :named @p_520)) :rule eq_reflexive)
+(step t247 (cl (not (! (= 1.0 0.0) :named @p_497))) :rule la_generic :args ((- 1)))
+(step t248 (cl (! (not @p_455) :named @p_505) (not (! (= @p_495 @p_496) :named @p_498)) (! (not @p_454) :named @p_506) @p_497) :rule eq_transitive)
+(step t249 (cl (not (! (= @p_417 @p_419) :named @p_501)) @p_498) :rule eq_congruent)
+(step t250 (cl (! (not @p_499) :named @p_502) (! (not @p_460) :named @p_503) (! (not @p_500) :named @p_504) @p_501) :rule eq_transitive)
+(step t251 (cl @p_498 @p_502 @p_503 @p_504) :rule th_resolution :premises (t249 t250))
+(step t252 (cl @p_505 @p_506 @p_497 @p_502 @p_503 @p_504) :rule th_resolution :premises (t248 t251))
+(step t253 (cl @p_505 @p_506 @p_502 @p_503 @p_504) :rule th_resolution :premises (t247 t252))
+(step t254 (cl @p_503) :rule resolution :premises (t253 a10 a12 t196 t198))
+(step t255 (cl @p_507) :rule resolution :premises (t201 t254 t203))
+(step t256 (cl (! (= f$ f$) :named @p_523)) :rule eq_reflexive)
+(step t257 (cl (! (= g$ g$) :named @p_524)) :rule eq_reflexive)
+(step t258 (cl (! (= @p_405 @p_405) :named @p_527)) :rule eq_reflexive)
+(step t259 (cl (or (! (not @p_34) :named @p_510) (! (= @p_24 @p_508) :named @p_511))) :rule forall_inst :args ((:= veriT_vr3 @p_473)))
+(step t260 (cl (or (! (not @p_22) :named @p_512) (! (= @p_12 @p_509) :named @p_513))) :rule forall_inst :args ((:= veriT_vr1 @p_473)))
+(step t261 (cl @p_510 @p_511) :rule or :premises (t259))
+(step t262 (cl @p_511) :rule resolution :premises (t261 t32))
+(step t263 (cl @p_512 @p_513) :rule or :premises (t260))
+(step t264 (cl @p_513) :rule resolution :premises (t263 t26))
+(step t265 (cl (not @p_511) (! (not @p_457) :named @p_514) @p_408 (not @p_489)) :rule eq_congruent_pred)
+(step t266 (cl @p_408) :rule resolution :premises (t265 t200 t234 t262))
+(step t267 (cl (not @p_513) @p_514 @p_409 (not @p_492)) :rule eq_congruent_pred)
+(step t268 (cl @p_409) :rule resolution :premises (t267 t200 t239 t264))
+(step t269 (cl @p_515) :rule resolution :premises (t168 t268 t194 t173 t175 t266))
+(step t270 (cl @p_516) :rule resolution :premises (t222 t269 t224))
+(step t271 (cl @p_468) :rule resolution :premises (t221 t270 t243))
+(step t272 (cl @p_477) :rule resolution :premises (t215 t271 t217))
+(step t273 (cl (! (not @p_477) :named @p_517) (not @p_474) @p_430) :rule eq_transitive)
+(step t274 (cl @p_430) :rule resolution :premises (t273 t214 t272))
+(step t275 (cl @p_517 (! (not @p_443) :named @p_518) (! (= @p_5 @p_407) :named @p_519)) :rule eq_transitive)
+(step t276 (cl @p_518 @p_517 @p_519) :rule eq_transitive)
+(step t277 (cl (not @p_520) (! (not @p_446) :named @p_521) (! (not @p_519) :named @p_522) @p_459) :rule eq_transitive)
+(step t278 (cl @p_521 @p_522 @p_459) :rule th_resolution :premises (t277 t246))
+(step t279 (cl @p_521 @p_459 @p_518 @p_517) :rule th_resolution :premises (t278 t276))
+(step t280 (cl @p_521) :rule resolution :premises (t279 t177 t255 t272))
+(step t281 (cl (not @p_523) @p_522 (! (not @p_524) :named @p_525) (! (= @p_462 @p_404) :named @p_526)) :rule eq_congruent)
+(step t282 (cl @p_522 @p_525 @p_526) :rule th_resolution :premises (t281 t256))
+(step t283 (cl @p_522 @p_526) :rule th_resolution :premises (t282 t257))
+(step t284 (cl @p_526 @p_517 @p_518) :rule th_resolution :premises (t283 t275))
+(step t285 (cl @p_470) :rule resolution :premises (t178 t280 t180))
+(step t286 (cl @p_483) :rule resolution :premises (t226 t285 t245))
+(step t287 (cl @p_431) :rule resolution :premises (t227 t286 t229))
+(step t288 (cl @p_429) :rule resolution :premises (t164 t287 t188 t266 t268 t274))
+(step t289 (cl @p_433) :rule resolution :premises (t165 t288 t167))
+(step t290 (cl (not @p_527) (! (not @p_526) :named @p_529) (! (= (! (+ @p_405 @p_462) :named @p_531) @p_528) :named @p_530)) :rule eq_congruent)
+(step t291 (cl @p_529 @p_530) :rule th_resolution :premises (t290 t258))
+(step t292 (cl @p_530 @p_517 @p_518) :rule th_resolution :premises (t291 t284))
+(step t293 (cl (! (not @p_433) :named @p_532) (not @p_530) (! (= @p_404 @p_531) :named @p_533)) :rule eq_transitive)
+(step t294 (cl @p_532 @p_533 @p_517 @p_518) :rule th_resolution :premises (t293 t292))
+(step t295 (cl @p_534 @p_529 (! (not @p_533) :named @p_536)) :rule la_generic :args (1.0 (- 2) (- 1)))
+(step t296 (cl @p_534 @p_517 @p_518 @p_532) :rule th_resolution :premises (t295 t284 t294))
+(step t297 (cl @p_534) :rule resolution :premises (t296 t289 t177 t272))
+(step t298 (cl @p_465) :rule resolution :premises (t206 t297))
+(step t299 (cl @p_535 @p_529 @p_536) :rule la_generic :args (1.0 2 1))
+(step t300 (cl @p_535 @p_517 @p_518 @p_532) :rule th_resolution :premises (t299 t284 t294))
+(step t301 (cl) :rule resolution :premises (t300 t289 t177 t298 t272))
 7d1d28af77b48e47cf45f7abbbccb64bffffc3f9 6 0
 unsat
 (assume a0 (! (< 0.0 (+ x$ (! (* 2.0 y$) :named @p_1))) :named @p_2))
@@ -6075,6 +6075,574 @@
 (step t201 (cl @p_378 @p_381 @p_376 @p_344 @p_342 @p_378 @p_380) :rule th_resolution :premises (t197 t200))
 (step t202 (cl @p_378 @p_381 @p_376 @p_344 @p_342 @p_380) :rule contraction :premises (t201))
 (step t203 (cl) :rule resolution :premises (t202 t156 t165 t149 t173 t180 t196))
+f79704028180f39e90d9e958e4416fd1e60a60df 567 0
+unsat
+(define-fun veriT_sk0 () A$ (! (choice ((veriT_vr145 A$)) (not (! (not (! (and (! (= (! (arg_min_on$ f$ (! (image$b g$ b$) :named @p_6)) :named @p_336) (! (fun_app$b g$ veriT_vr145) :named @p_378)) :named @p_379) (! (member$a veriT_vr145 b$) :named @p_381)) :named @p_382)) :named @p_377))) :named @p_357))
+(assume a29 (! (forall ((?v0 B_set$) (?v1 B_c_fun$)) (! (=> (! (and (! (finite$ ?v0) :named @p_1) (! (not (! (= ?v0 bot$) :named @p_10)) :named @p_2)) :named @p_13) (! (member$ (! (arg_min_on$ ?v1 ?v0) :named @p_15) ?v0) :named @p_17)) :named @p_19)) :named @p_7))
+(assume a31 (! (forall ((?v0 B_set$) (?v1 B$) (?v2 B_c_fun$)) (! (=> (! (and @p_1 (! (and @p_2 (! (member$ ?v1 ?v0) :named @p_38)) :named @p_40)) :named @p_42) (! (less_eq$ (! (fun_app$ ?v2 (! (arg_min_on$ ?v2 ?v0) :named @p_45)) :named @p_47) (! (fun_app$ ?v2 ?v1) :named @p_50)) :named @p_52)) :named @p_54)) :named @p_33))
+(assume a33 (! (forall ((?v0 B_c_fun$) (?v1 A_b_fun$) (?v2 A$)) (! (= (! (fun_app$a (! (comp$ ?v0 ?v1) :named @p_78) ?v2) :named @p_80) (! (fun_app$ ?v0 (! (fun_app$b ?v1 ?v2) :named @p_3)) :named @p_86)) :named @p_88)) :named @p_77))
+(assume a36 (! (forall ((?v0 A_set$) (?v1 A_b_fun$)) (! (=> (! (finite$a ?v0) :named @p_103) (! (finite$ (! (image$b ?v1 ?v0) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_102))
+(assume a40 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A_set$)) (! (=> (! (and (! (member$ ?v0 (! (image$b ?v1 ?v2) :named @p_122)) :named @p_124) (! (forall ((?v3 A$)) (! (=> (! (and (! (= ?v0 (! (fun_app$b ?v1 ?v3) :named @p_130)) :named @p_132) (! (member$a ?v3 ?v2) :named @p_136)) :named @p_138) false) :named @p_140)) :named @p_126)) :named @p_142) false) :named @p_144)) :named @p_121))
+(assume a44 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A$) (?v3 A_set$)) (! (=> (! (and (! (= @p_3 ?v0) :named @p_173) (! (member$a ?v2 ?v3) :named @p_176)) :named @p_178) (! (member$ ?v0 (! (image$b ?v1 ?v3) :named @p_183)) :named @p_185)) :named @p_187)) :named @p_171))
+(assume a48 (! (forall ((?v0 A_b_fun$) (?v1 A_set$)) (! (= (! (= bot$ (! (image$b ?v0 ?v1) :named @p_205)) :named @p_207) (! (= bot$a ?v1) :named @p_210)) :named @p_212)) :named @p_204))
+(assume a50 (! (forall ((?v0 B_c_fun$) (?v1 B_set$) (?v2 B$) (?v3 B$)) (! (=> (! (and (! (inj_on$ ?v0 ?v1) :named @p_224) (! (and (! (= (! (fun_app$ ?v0 ?v2) :named @p_227) (! (fun_app$ ?v0 ?v3) :named @p_229)) :named @p_231) (! (and (! (member$ ?v2 ?v1) :named @p_235) (! (member$ ?v3 ?v1) :named @p_238)) :named @p_240)) :named @p_242)) :named @p_244) (! (= ?v3 ?v2) :named @p_246)) :named @p_248)) :named @p_223))
+(assume a51 (! (forall ((?v0 C$) (?v1 C$)) (! (= (! (less$ ?v0 ?v1) :named @p_272) (! (and (! (less_eq$ ?v0 ?v1) :named @p_276) (! (not (! (= ?v0 ?v1) :named @p_278)) :named @p_280)) :named @p_282)) :named @p_284)) :named @p_271))
+(assume a23 (! (inj_on$ f$ @p_6) :named @p_353))
+(assume a24 (! (finite$a b$) :named @p_332))
+(assume a25 (not (! (= bot$a b$) :named @p_331)))
+(assume a26 (! (member$a (! (arg_min_on$a (! (comp$ f$ g$) :named @p_4) b$) :named @p_5) b$) :named @p_423))
+(assume a27 (! (not (! (exists ((?v0 A$)) (! (and (! (member$a ?v0 b$) :named @p_300) (! (less$ (! (fun_app$a @p_4 ?v0) :named @p_303) (! (fun_app$a @p_4 @p_5) :named @p_299)) :named @p_305)) :named @p_307)) :named @p_298)) :named @p_309))
+(assume a52 (not (! (= @p_336 (! (fun_app$b g$ @p_5) :named @p_333)) :named @p_355)))
+(anchor :step t16 :args ((:= (?v0 B_set$) veriT_vr0) (:= (?v1 B_c_fun$) veriT_vr1)))
+(step t16.t1 (cl (! (= ?v0 veriT_vr0) :named @p_9)) :rule refl)
+(step t16.t2 (cl (= @p_1 (! (finite$ veriT_vr0) :named @p_8))) :rule cong :premises (t16.t1))
+(step t16.t3 (cl @p_9) :rule refl)
+(step t16.t4 (cl (= @p_10 (! (= bot$ veriT_vr0) :named @p_11))) :rule cong :premises (t16.t3))
+(step t16.t5 (cl (= @p_2 (! (not @p_11) :named @p_12))) :rule cong :premises (t16.t4))
+(step t16.t6 (cl (= @p_13 (! (and @p_8 @p_12) :named @p_14))) :rule cong :premises (t16.t2 t16.t5))
+(step t16.t7 (cl (= ?v1 veriT_vr1)) :rule refl)
+(step t16.t8 (cl @p_9) :rule refl)
+(step t16.t9 (cl (= @p_15 (! (arg_min_on$ veriT_vr1 veriT_vr0) :named @p_16))) :rule cong :premises (t16.t7 t16.t8))
+(step t16.t10 (cl @p_9) :rule refl)
+(step t16.t11 (cl (= @p_17 (! (member$ @p_16 veriT_vr0) :named @p_18))) :rule cong :premises (t16.t9 t16.t10))
+(step t16.t12 (cl (= @p_19 (! (=> @p_14 @p_18) :named @p_20))) :rule cong :premises (t16.t6 t16.t11))
+(step t16 (cl (! (= @p_7 (! (forall ((veriT_vr0 B_set$) (veriT_vr1 B_c_fun$)) @p_20) :named @p_22)) :named @p_21)) :rule bind)
+(step t17 (cl (not @p_21) (not @p_7) @p_22) :rule equiv_pos2)
+(step t18 (cl @p_22) :rule th_resolution :premises (a29 t16 t17))
+(anchor :step t19 :args ((:= (veriT_vr0 B_set$) veriT_vr2) (:= (veriT_vr1 B_c_fun$) veriT_vr3)))
+(step t19.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_24)) :rule refl)
+(step t19.t2 (cl (= @p_8 (! (finite$ veriT_vr2) :named @p_23))) :rule cong :premises (t19.t1))
+(step t19.t3 (cl @p_24) :rule refl)
+(step t19.t4 (cl (= @p_11 (! (= bot$ veriT_vr2) :named @p_25))) :rule cong :premises (t19.t3))
+(step t19.t5 (cl (= @p_12 (! (not @p_25) :named @p_26))) :rule cong :premises (t19.t4))
+(step t19.t6 (cl (= @p_14 (! (and @p_23 @p_26) :named @p_27))) :rule cong :premises (t19.t2 t19.t5))
+(step t19.t7 (cl (= veriT_vr1 veriT_vr3)) :rule refl)
+(step t19.t8 (cl @p_24) :rule refl)
+(step t19.t9 (cl (= @p_16 (! (arg_min_on$ veriT_vr3 veriT_vr2) :named @p_28))) :rule cong :premises (t19.t7 t19.t8))
+(step t19.t10 (cl @p_24) :rule refl)
+(step t19.t11 (cl (= @p_18 (! (member$ @p_28 veriT_vr2) :named @p_29))) :rule cong :premises (t19.t9 t19.t10))
+(step t19.t12 (cl (= @p_20 (! (=> @p_27 @p_29) :named @p_30))) :rule cong :premises (t19.t6 t19.t11))
+(step t19 (cl (! (= @p_22 (! (forall ((veriT_vr2 B_set$) (veriT_vr3 B_c_fun$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
+(step t20 (cl (not @p_31) (not @p_22) @p_32) :rule equiv_pos2)
+(step t21 (cl @p_32) :rule th_resolution :premises (t18 t19 t20))
+(anchor :step t22 :args ((:= (?v0 B_set$) veriT_vr8) (:= (?v1 B$) veriT_vr9) (:= (?v2 B_c_fun$) veriT_vr10)))
+(step t22.t1 (cl (! (= ?v0 veriT_vr8) :named @p_35)) :rule refl)
+(step t22.t2 (cl (= @p_1 (! (finite$ veriT_vr8) :named @p_34))) :rule cong :premises (t22.t1))
+(step t22.t3 (cl @p_35) :rule refl)
+(step t22.t4 (cl (= @p_10 (! (= bot$ veriT_vr8) :named @p_36))) :rule cong :premises (t22.t3))
+(step t22.t5 (cl (= @p_2 (! (not @p_36) :named @p_37))) :rule cong :premises (t22.t4))
+(step t22.t6 (cl (! (= ?v1 veriT_vr9) :named @p_49)) :rule refl)
+(step t22.t7 (cl @p_35) :rule refl)
+(step t22.t8 (cl (= @p_38 (! (member$ veriT_vr9 veriT_vr8) :named @p_39))) :rule cong :premises (t22.t6 t22.t7))
+(step t22.t9 (cl (= @p_40 (! (and @p_37 @p_39) :named @p_41))) :rule cong :premises (t22.t5 t22.t8))
+(step t22.t10 (cl (= @p_42 (! (and @p_34 @p_41) :named @p_43))) :rule cong :premises (t22.t2 t22.t9))
+(step t22.t11 (cl (! (= ?v2 veriT_vr10) :named @p_44)) :rule refl)
+(step t22.t12 (cl @p_44) :rule refl)
+(step t22.t13 (cl @p_35) :rule refl)
+(step t22.t14 (cl (= @p_45 (! (arg_min_on$ veriT_vr10 veriT_vr8) :named @p_46))) :rule cong :premises (t22.t12 t22.t13))
+(step t22.t15 (cl (= @p_47 (! (fun_app$ veriT_vr10 @p_46) :named @p_48))) :rule cong :premises (t22.t11 t22.t14))
+(step t22.t16 (cl @p_44) :rule refl)
+(step t22.t17 (cl @p_49) :rule refl)
+(step t22.t18 (cl (= @p_50 (! (fun_app$ veriT_vr10 veriT_vr9) :named @p_51))) :rule cong :premises (t22.t16 t22.t17))
+(step t22.t19 (cl (= @p_52 (! (less_eq$ @p_48 @p_51) :named @p_53))) :rule cong :premises (t22.t15 t22.t18))
+(step t22.t20 (cl (= @p_54 (! (=> @p_43 @p_53) :named @p_55))) :rule cong :premises (t22.t10 t22.t19))
+(step t22 (cl (! (= @p_33 (! (forall ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)) @p_55) :named @p_57)) :named @p_56)) :rule bind)
+(step t23 (cl (not @p_56) (not @p_33) @p_57) :rule equiv_pos2)
+(step t24 (cl @p_57) :rule th_resolution :premises (a31 t22 t23))
+(anchor :step t25 :args ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)))
+(step t25.t1 (cl (= @p_43 (! (and @p_34 @p_37 @p_39) :named @p_58))) :rule ac_simp)
+(step t25.t2 (cl (= @p_55 (! (=> @p_58 @p_53) :named @p_59))) :rule cong :premises (t25.t1))
+(step t25 (cl (! (= @p_57 (! (forall ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
+(step t26 (cl (not @p_60) (not @p_57) @p_61) :rule equiv_pos2)
+(step t27 (cl @p_61) :rule th_resolution :premises (t24 t25 t26))
+(anchor :step t28 :args ((:= (veriT_vr8 B_set$) veriT_vr11) (:= (veriT_vr9 B$) veriT_vr12) (:= (veriT_vr10 B_c_fun$) veriT_vr13)))
+(step t28.t1 (cl (! (= veriT_vr8 veriT_vr11) :named @p_63)) :rule refl)
+(step t28.t2 (cl (= @p_34 (! (finite$ veriT_vr11) :named @p_62))) :rule cong :premises (t28.t1))
+(step t28.t3 (cl @p_63) :rule refl)
+(step t28.t4 (cl (= @p_36 (! (= bot$ veriT_vr11) :named @p_64))) :rule cong :premises (t28.t3))
+(step t28.t5 (cl (= @p_37 (! (not @p_64) :named @p_65))) :rule cong :premises (t28.t4))
+(step t28.t6 (cl (! (= veriT_vr9 veriT_vr12) :named @p_71)) :rule refl)
+(step t28.t7 (cl @p_63) :rule refl)
+(step t28.t8 (cl (= @p_39 (! (member$ veriT_vr12 veriT_vr11) :named @p_66))) :rule cong :premises (t28.t6 t28.t7))
+(step t28.t9 (cl (= @p_58 (! (and @p_62 @p_65 @p_66) :named @p_67))) :rule cong :premises (t28.t2 t28.t5 t28.t8))
+(step t28.t10 (cl (! (= veriT_vr10 veriT_vr13) :named @p_68)) :rule refl)
+(step t28.t11 (cl @p_68) :rule refl)
+(step t28.t12 (cl @p_63) :rule refl)
+(step t28.t13 (cl (= @p_46 (! (arg_min_on$ veriT_vr13 veriT_vr11) :named @p_69))) :rule cong :premises (t28.t11 t28.t12))
+(step t28.t14 (cl (= @p_48 (! (fun_app$ veriT_vr13 @p_69) :named @p_70))) :rule cong :premises (t28.t10 t28.t13))
+(step t28.t15 (cl @p_68) :rule refl)
+(step t28.t16 (cl @p_71) :rule refl)
+(step t28.t17 (cl (= @p_51 (! (fun_app$ veriT_vr13 veriT_vr12) :named @p_72))) :rule cong :premises (t28.t15 t28.t16))
+(step t28.t18 (cl (= @p_53 (! (less_eq$ @p_70 @p_72) :named @p_73))) :rule cong :premises (t28.t14 t28.t17))
+(step t28.t19 (cl (= @p_59 (! (=> @p_67 @p_73) :named @p_74))) :rule cong :premises (t28.t9 t28.t18))
+(step t28 (cl (! (= @p_61 (! (forall ((veriT_vr11 B_set$) (veriT_vr12 B$) (veriT_vr13 B_c_fun$)) @p_74) :named @p_76)) :named @p_75)) :rule bind)
+(step t29 (cl (not @p_75) (not @p_61) @p_76) :rule equiv_pos2)
+(step t30 (cl @p_76) :rule th_resolution :premises (t27 t28 t29))
+(anchor :step t31 :args ((:= (?v0 B_c_fun$) veriT_vr20) (:= (?v1 A_b_fun$) veriT_vr21) (:= (?v2 A$) veriT_vr22)))
+(step t31.t1 (cl (! (= ?v0 veriT_vr20) :named @p_82)) :rule refl)
+(step t31.t2 (cl (! (= ?v1 veriT_vr21) :named @p_83)) :rule refl)
+(step t31.t3 (cl (= @p_78 (! (comp$ veriT_vr20 veriT_vr21) :named @p_79))) :rule cong :premises (t31.t1 t31.t2))
+(step t31.t4 (cl (! (= ?v2 veriT_vr22) :named @p_84)) :rule refl)
+(step t31.t5 (cl (= @p_80 (! (fun_app$a @p_79 veriT_vr22) :named @p_81))) :rule cong :premises (t31.t3 t31.t4))
+(step t31.t6 (cl @p_82) :rule refl)
+(step t31.t7 (cl @p_83) :rule refl)
+(step t31.t8 (cl @p_84) :rule refl)
+(step t31.t9 (cl (= @p_3 (! (fun_app$b veriT_vr21 veriT_vr22) :named @p_85))) :rule cong :premises (t31.t7 t31.t8))
+(step t31.t10 (cl (= @p_86 (! (fun_app$ veriT_vr20 @p_85) :named @p_87))) :rule cong :premises (t31.t6 t31.t9))
+(step t31.t11 (cl (= @p_88 (! (= @p_81 @p_87) :named @p_89))) :rule cong :premises (t31.t5 t31.t10))
+(step t31 (cl (! (= @p_77 (! (forall ((veriT_vr20 B_c_fun$) (veriT_vr21 A_b_fun$) (veriT_vr22 A$)) @p_89) :named @p_91)) :named @p_90)) :rule bind)
+(step t32 (cl (not @p_90) (not @p_77) @p_91) :rule equiv_pos2)
+(step t33 (cl @p_91) :rule th_resolution :premises (a33 t31 t32))
+(anchor :step t34 :args ((:= (veriT_vr20 B_c_fun$) veriT_vr23) (:= (veriT_vr21 A_b_fun$) veriT_vr24) (:= (veriT_vr22 A$) veriT_vr25)))
+(step t34.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_94)) :rule refl)
+(step t34.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_95)) :rule refl)
+(step t34.t3 (cl (= @p_79 (! (comp$ veriT_vr23 veriT_vr24) :named @p_92))) :rule cong :premises (t34.t1 t34.t2))
+(step t34.t4 (cl (! (= veriT_vr22 veriT_vr25) :named @p_96)) :rule refl)
+(step t34.t5 (cl (= @p_81 (! (fun_app$a @p_92 veriT_vr25) :named @p_93))) :rule cong :premises (t34.t3 t34.t4))
+(step t34.t6 (cl @p_94) :rule refl)
+(step t34.t7 (cl @p_95) :rule refl)
+(step t34.t8 (cl @p_96) :rule refl)
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+(step t34.t10 (cl (= @p_87 (! (fun_app$ veriT_vr23 @p_97) :named @p_98))) :rule cong :premises (t34.t6 t34.t9))
+(step t34.t11 (cl (= @p_89 (! (= @p_93 @p_98) :named @p_99))) :rule cong :premises (t34.t5 t34.t10))
+(step t34 (cl (! (= @p_91 (! (forall ((veriT_vr23 B_c_fun$) (veriT_vr24 A_b_fun$) (veriT_vr25 A$)) @p_99) :named @p_101)) :named @p_100)) :rule bind)
+(step t35 (cl (not @p_100) (not @p_91) @p_101) :rule equiv_pos2)
+(step t36 (cl @p_101) :rule th_resolution :premises (t33 t34 t35))
+(anchor :step t37 :args ((:= (?v0 A_set$) veriT_vr34) (:= (?v1 A_b_fun$) veriT_vr35)))
+(step t37.t1 (cl (! (= ?v0 veriT_vr34) :named @p_105)) :rule refl)
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+(step t37.t3 (cl (= ?v1 veriT_vr35)) :rule refl)
+(step t37.t4 (cl @p_105) :rule refl)
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+(step t37.t6 (cl (= @p_108 (! (finite$ @p_107) :named @p_109))) :rule cong :premises (t37.t5))
+(step t37.t7 (cl (= @p_110 (! (=> @p_104 @p_109) :named @p_111))) :rule cong :premises (t37.t2 t37.t6))
+(step t37 (cl (! (= @p_102 (! (forall ((veriT_vr34 A_set$) (veriT_vr35 A_b_fun$)) @p_111) :named @p_113)) :named @p_112)) :rule bind)
+(step t38 (cl (not @p_112) (not @p_102) @p_113) :rule equiv_pos2)
+(step t39 (cl @p_113) :rule th_resolution :premises (a36 t37 t38))
+(anchor :step t40 :args ((:= (veriT_vr34 A_set$) veriT_vr36) (:= (veriT_vr35 A_b_fun$) veriT_vr37)))
+(step t40.t1 (cl (! (= veriT_vr34 veriT_vr36) :named @p_115)) :rule refl)
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+(step t40.t3 (cl (= veriT_vr35 veriT_vr37)) :rule refl)
+(step t40.t4 (cl @p_115) :rule refl)
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+(step t40.t6 (cl (= @p_109 (! (finite$ @p_116) :named @p_117))) :rule cong :premises (t40.t5))
+(step t40.t7 (cl (= @p_111 (! (=> @p_114 @p_117) :named @p_118))) :rule cong :premises (t40.t2 t40.t6))
+(step t40 (cl (! (= @p_113 (! (forall ((veriT_vr36 A_set$) (veriT_vr37 A_b_fun$)) @p_118) :named @p_120)) :named @p_119)) :rule bind)
+(step t41 (cl (not @p_119) (not @p_113) @p_120) :rule equiv_pos2)
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+(anchor :step t43 :args ((:= (?v0 B$) veriT_vr58) (:= (?v1 A_b_fun$) veriT_vr59) (:= (?v2 A_set$) veriT_vr60)))
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+(step t43.t3 (cl (! (= ?v2 veriT_vr60) :named @p_135)) :rule refl)
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+(step t43.t5 (cl (= @p_124 (! (member$ veriT_vr58 @p_123) :named @p_125))) :rule cong :premises (t43.t1 t43.t4))
+(anchor :step t43.t6 :args ((:= (?v3 A$) veriT_vr61)))
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+(step t43.t6.t5 (cl (= @p_132 (! (= veriT_vr58 @p_131) :named @p_133))) :rule cong :premises (t43.t6.t1 t43.t6.t4))
+(step t43.t6.t6 (cl @p_134) :rule refl)
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+(step t43.t6.t9 (cl (= @p_138 (! (and @p_133 @p_137) :named @p_139))) :rule cong :premises (t43.t6.t5 t43.t6.t8))
+(step t43.t6.t10 (cl (= @p_140 (! (=> @p_139 false) :named @p_141))) :rule cong :premises (t43.t6.t9))
+(step t43.t6 (cl (= @p_126 (! (forall ((veriT_vr61 A$)) @p_141) :named @p_127))) :rule bind)
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+(step t43.t8 (cl (= @p_144 (! (=> @p_143 false) :named @p_145))) :rule cong :premises (t43.t7))
+(step t43 (cl (! (= @p_121 (! (forall ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)) @p_145) :named @p_147)) :named @p_146)) :rule bind)
+(step t44 (cl (not @p_146) (not @p_121) @p_147) :rule equiv_pos2)
+(step t45 (cl @p_147) :rule th_resolution :premises (a40 t43 t44))
+(anchor :step t46 :args ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)))
+(anchor :step t46.t1 :args ((veriT_vr61 A$)))
+(step t46.t1.t1 (cl (= @p_141 (! (not @p_139) :named @p_149))) :rule implies_simplify)
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+(step t46.t3 (cl (= @p_145 (! (=> @p_150 false) :named @p_151))) :rule cong :premises (t46.t2))
+(step t46.t4 (cl (= @p_151 (! (not @p_150) :named @p_152))) :rule implies_simplify)
+(step t46.t5 (cl (= @p_145 @p_152)) :rule trans :premises (t46.t3 t46.t4))
+(step t46 (cl (! (= @p_147 (! (forall ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)) @p_152) :named @p_154)) :named @p_153)) :rule bind)
+(step t47 (cl (not @p_153) (not @p_147) @p_154) :rule equiv_pos2)
+(step t48 (cl @p_154) :rule th_resolution :premises (t45 t46 t47))
+(anchor :step t49 :args ((:= (veriT_vr58 B$) veriT_vr62) (:= (veriT_vr59 A_b_fun$) veriT_vr63) (:= (veriT_vr60 A_set$) veriT_vr64)))
+(step t49.t1 (cl (! (= veriT_vr58 veriT_vr62) :named @p_158)) :rule refl)
+(step t49.t2 (cl (! (= veriT_vr59 veriT_vr63) :named @p_159)) :rule refl)
+(step t49.t3 (cl (! (= veriT_vr60 veriT_vr64) :named @p_163)) :rule refl)
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+(step t49.t5 (cl (= @p_125 (! (member$ veriT_vr62 @p_155) :named @p_156))) :rule cong :premises (t49.t1 t49.t4))
+(anchor :step t49.t6 :args ((:= (veriT_vr61 A$) veriT_vr65)))
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+(step t49.t6.t3 (cl (! (= veriT_vr61 veriT_vr65) :named @p_162)) :rule refl)
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+(step t49.t6.t5 (cl (= @p_133 (! (= veriT_vr62 @p_160) :named @p_161))) :rule cong :premises (t49.t6.t1 t49.t6.t4))
+(step t49.t6.t6 (cl @p_162) :rule refl)
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+(step t49.t6.t9 (cl (= @p_139 (! (and @p_161 @p_164) :named @p_165))) :rule cong :premises (t49.t6.t5 t49.t6.t8))
+(step t49.t6.t10 (cl (= @p_149 (! (not @p_165) :named @p_166))) :rule cong :premises (t49.t6.t9))
+(step t49.t6 (cl (= @p_148 (! (forall ((veriT_vr65 A$)) @p_166) :named @p_157))) :rule bind)
+(step t49.t7 (cl (= @p_150 (! (and @p_156 @p_157) :named @p_167))) :rule cong :premises (t49.t5 t49.t6))
+(step t49.t8 (cl (= @p_152 (! (not @p_167) :named @p_168))) :rule cong :premises (t49.t7))
+(step t49 (cl (! (= @p_154 (! (forall ((veriT_vr62 B$) (veriT_vr63 A_b_fun$) (veriT_vr64 A_set$)) @p_168) :named @p_170)) :named @p_169)) :rule bind)
+(step t50 (cl (not @p_169) (not @p_154) @p_170) :rule equiv_pos2)
+(step t51 (cl @p_170) :rule th_resolution :premises (t48 t49 t50))
+(anchor :step t52 :args ((:= (?v0 B$) veriT_vr90) (:= (?v1 A_b_fun$) veriT_vr91) (:= (?v2 A$) veriT_vr92) (:= (?v3 A_set$) veriT_vr93)))
+(step t52.t1 (cl (! (= ?v1 veriT_vr91) :named @p_181)) :rule refl)
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+(step t52.t3 (cl (= @p_3 (! (fun_app$b veriT_vr91 veriT_vr92) :named @p_172))) :rule cong :premises (t52.t1 t52.t2))
+(step t52.t4 (cl (! (= ?v0 veriT_vr90) :named @p_180)) :rule refl)
+(step t52.t5 (cl (= @p_173 (! (= veriT_vr90 @p_172) :named @p_174))) :rule cong :premises (t52.t3 t52.t4))
+(step t52.t6 (cl @p_175) :rule refl)
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+(step t52.t9 (cl (= @p_178 (! (and @p_174 @p_177) :named @p_179))) :rule cong :premises (t52.t5 t52.t8))
+(step t52.t10 (cl @p_180) :rule refl)
+(step t52.t11 (cl @p_181) :rule refl)
+(step t52.t12 (cl @p_182) :rule refl)
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+(step t52.t15 (cl (= @p_187 (! (=> @p_179 @p_186) :named @p_188))) :rule cong :premises (t52.t9 t52.t14))
+(step t52 (cl (! (= @p_171 (! (forall ((veriT_vr90 B$) (veriT_vr91 A_b_fun$) (veriT_vr92 A$) (veriT_vr93 A_set$)) @p_188) :named @p_190)) :named @p_189)) :rule bind)
+(step t53 (cl (not @p_189) (not @p_171) @p_190) :rule equiv_pos2)
+(step t54 (cl @p_190) :rule th_resolution :premises (a44 t52 t53))
+(anchor :step t55 :args ((:= (veriT_vr90 B$) veriT_vr94) (:= (veriT_vr91 A_b_fun$) veriT_vr95) (:= (veriT_vr92 A$) veriT_vr96) (:= (veriT_vr93 A_set$) veriT_vr97)))
+(step t55.t1 (cl (! (= veriT_vr90 veriT_vr94) :named @p_196)) :rule refl)
+(step t55.t2 (cl (! (= veriT_vr91 veriT_vr95) :named @p_197)) :rule refl)
+(step t55.t3 (cl (! (= veriT_vr92 veriT_vr96) :named @p_193)) :rule refl)
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+(step t55.t5 (cl (= @p_174 (! (= veriT_vr94 @p_191) :named @p_192))) :rule cong :premises (t55.t1 t55.t4))
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+(step t55.t9 (cl (= @p_179 (! (and @p_192 @p_194) :named @p_195))) :rule cong :premises (t55.t5 t55.t8))
+(step t55.t10 (cl @p_196) :rule refl)
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+(step t55.t12 (cl @p_198) :rule refl)
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+(step t55.t14 (cl (= @p_186 (! (member$ veriT_vr94 @p_199) :named @p_200))) :rule cong :premises (t55.t10 t55.t13))
+(step t55.t15 (cl (= @p_188 (! (=> @p_195 @p_200) :named @p_201))) :rule cong :premises (t55.t9 t55.t14))
+(step t55 (cl (! (= @p_190 (! (forall ((veriT_vr94 B$) (veriT_vr95 A_b_fun$) (veriT_vr96 A$) (veriT_vr97 A_set$)) @p_201) :named @p_203)) :named @p_202)) :rule bind)
+(step t56 (cl (not @p_202) (not @p_190) @p_203) :rule equiv_pos2)
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+(anchor :step t58 :args ((:= (?v0 A_b_fun$) veriT_vr114) (:= (?v1 A_set$) veriT_vr115)))
+(step t58.t1 (cl (= ?v0 veriT_vr114)) :rule refl)
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+(step t58.t4 (cl (= @p_207 (! (= bot$ @p_206) :named @p_208))) :rule cong :premises (t58.t3))
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+(step t58.t7 (cl (= @p_212 (! (= @p_208 @p_211) :named @p_213))) :rule cong :premises (t58.t4 t58.t6))
+(step t58 (cl (! (= @p_204 (! (forall ((veriT_vr114 A_b_fun$) (veriT_vr115 A_set$)) @p_213) :named @p_215)) :named @p_214)) :rule bind)
+(step t59 (cl (not @p_214) (not @p_204) @p_215) :rule equiv_pos2)
+(step t60 (cl @p_215) :rule th_resolution :premises (a48 t58 t59))
+(anchor :step t61 :args ((:= (veriT_vr114 A_b_fun$) veriT_vr116) (:= (veriT_vr115 A_set$) veriT_vr117)))
+(step t61.t1 (cl (= veriT_vr114 veriT_vr116)) :rule refl)
+(step t61.t2 (cl (! (= veriT_vr115 veriT_vr117) :named @p_218)) :rule refl)
+(step t61.t3 (cl (= @p_206 (! (image$b veriT_vr116 veriT_vr117) :named @p_216))) :rule cong :premises (t61.t1 t61.t2))
+(step t61.t4 (cl (= @p_208 (! (= bot$ @p_216) :named @p_217))) :rule cong :premises (t61.t3))
+(step t61.t5 (cl @p_218) :rule refl)
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+(step t61.t7 (cl (= @p_213 (! (= @p_217 @p_219) :named @p_220))) :rule cong :premises (t61.t4 t61.t6))
+(step t61 (cl (! (= @p_215 (! (forall ((veriT_vr116 A_b_fun$) (veriT_vr117 A_set$)) @p_220) :named @p_222)) :named @p_221)) :rule bind)
+(step t62 (cl (not @p_221) (not @p_215) @p_222) :rule equiv_pos2)
+(step t63 (cl @p_222) :rule th_resolution :premises (t60 t61 t62))
+(anchor :step t64 :args ((:= (?v0 B_c_fun$) veriT_vr122) (:= (?v1 B_set$) veriT_vr123) (:= (?v2 B$) veriT_vr124) (:= (?v3 B$) veriT_vr125)))
+(step t64.t1 (cl (! (= ?v0 veriT_vr122) :named @p_226)) :rule refl)
+(step t64.t2 (cl (! (= ?v1 veriT_vr123) :named @p_234)) :rule refl)
+(step t64.t3 (cl (= @p_224 (! (inj_on$ veriT_vr122 veriT_vr123) :named @p_225))) :rule cong :premises (t64.t1 t64.t2))
+(step t64.t4 (cl @p_226) :rule refl)
+(step t64.t5 (cl (! (= ?v2 veriT_vr124) :named @p_233)) :rule refl)
+(step t64.t6 (cl (= @p_227 (! (fun_app$ veriT_vr122 veriT_vr124) :named @p_228))) :rule cong :premises (t64.t4 t64.t5))
+(step t64.t7 (cl @p_226) :rule refl)
+(step t64.t8 (cl (! (= ?v3 veriT_vr125) :named @p_237)) :rule refl)
+(step t64.t9 (cl (= @p_229 (! (fun_app$ veriT_vr122 veriT_vr125) :named @p_230))) :rule cong :premises (t64.t7 t64.t8))
+(step t64.t10 (cl (= @p_231 (! (= @p_228 @p_230) :named @p_232))) :rule cong :premises (t64.t6 t64.t9))
+(step t64.t11 (cl @p_233) :rule refl)
+(step t64.t12 (cl @p_234) :rule refl)
+(step t64.t13 (cl (= @p_235 (! (member$ veriT_vr124 veriT_vr123) :named @p_236))) :rule cong :premises (t64.t11 t64.t12))
+(step t64.t14 (cl @p_237) :rule refl)
+(step t64.t15 (cl @p_234) :rule refl)
+(step t64.t16 (cl (= @p_238 (! (member$ veriT_vr125 veriT_vr123) :named @p_239))) :rule cong :premises (t64.t14 t64.t15))
+(step t64.t17 (cl (= @p_240 (! (and @p_236 @p_239) :named @p_241))) :rule cong :premises (t64.t13 t64.t16))
+(step t64.t18 (cl (= @p_242 (! (and @p_232 @p_241) :named @p_243))) :rule cong :premises (t64.t10 t64.t17))
+(step t64.t19 (cl (= @p_244 (! (and @p_225 @p_243) :named @p_245))) :rule cong :premises (t64.t3 t64.t18))
+(step t64.t20 (cl @p_237) :rule refl)
+(step t64.t21 (cl @p_233) :rule refl)
+(step t64.t22 (cl (= @p_246 (! (= veriT_vr124 veriT_vr125) :named @p_247))) :rule cong :premises (t64.t20 t64.t21))
+(step t64.t23 (cl (= @p_248 (! (=> @p_245 @p_247) :named @p_249))) :rule cong :premises (t64.t19 t64.t22))
+(step t64 (cl (! (= @p_223 (! (forall ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)) @p_249) :named @p_251)) :named @p_250)) :rule bind)
+(step t65 (cl (not @p_250) (not @p_223) @p_251) :rule equiv_pos2)
+(step t66 (cl @p_251) :rule th_resolution :premises (a50 t64 t65))
+(anchor :step t67 :args ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)))
+(step t67.t1 (cl (= @p_245 (! (and @p_225 @p_232 @p_236 @p_239) :named @p_252))) :rule ac_simp)
+(step t67.t2 (cl (= @p_249 (! (=> @p_252 @p_247) :named @p_253))) :rule cong :premises (t67.t1))
+(step t67 (cl (! (= @p_251 (! (forall ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)) @p_253) :named @p_255)) :named @p_254)) :rule bind)
+(step t68 (cl (not @p_254) (not @p_251) @p_255) :rule equiv_pos2)
+(step t69 (cl @p_255) :rule th_resolution :premises (t66 t67 t68))
+(anchor :step t70 :args ((:= (veriT_vr122 B_c_fun$) veriT_vr126) (:= (veriT_vr123 B_set$) veriT_vr127) (:= (veriT_vr124 B$) veriT_vr128) (:= (veriT_vr125 B$) veriT_vr129)))
+(step t70.t1 (cl (! (= veriT_vr122 veriT_vr126) :named @p_257)) :rule refl)
+(step t70.t2 (cl (! (= veriT_vr123 veriT_vr127) :named @p_262)) :rule refl)
+(step t70.t3 (cl (= @p_225 (! (inj_on$ veriT_vr126 veriT_vr127) :named @p_256))) :rule cong :premises (t70.t1 t70.t2))
+(step t70.t4 (cl @p_257) :rule refl)
+(step t70.t5 (cl (! (= veriT_vr124 veriT_vr128) :named @p_261)) :rule refl)
+(step t70.t6 (cl (= @p_228 (! (fun_app$ veriT_vr126 veriT_vr128) :named @p_258))) :rule cong :premises (t70.t4 t70.t5))
+(step t70.t7 (cl @p_257) :rule refl)
+(step t70.t8 (cl (! (= veriT_vr125 veriT_vr129) :named @p_264)) :rule refl)
+(step t70.t9 (cl (= @p_230 (! (fun_app$ veriT_vr126 veriT_vr129) :named @p_259))) :rule cong :premises (t70.t7 t70.t8))
+(step t70.t10 (cl (= @p_232 (! (= @p_258 @p_259) :named @p_260))) :rule cong :premises (t70.t6 t70.t9))
+(step t70.t11 (cl @p_261) :rule refl)
+(step t70.t12 (cl @p_262) :rule refl)
+(step t70.t13 (cl (= @p_236 (! (member$ veriT_vr128 veriT_vr127) :named @p_263))) :rule cong :premises (t70.t11 t70.t12))
+(step t70.t14 (cl @p_264) :rule refl)
+(step t70.t15 (cl @p_262) :rule refl)
+(step t70.t16 (cl (= @p_239 (! (member$ veriT_vr129 veriT_vr127) :named @p_265))) :rule cong :premises (t70.t14 t70.t15))
+(step t70.t17 (cl (= @p_252 (! (and @p_256 @p_260 @p_263 @p_265) :named @p_266))) :rule cong :premises (t70.t3 t70.t10 t70.t13 t70.t16))
+(step t70.t18 (cl @p_261) :rule refl)
+(step t70.t19 (cl @p_264) :rule refl)
+(step t70.t20 (cl (= @p_247 (! (= veriT_vr128 veriT_vr129) :named @p_267))) :rule cong :premises (t70.t18 t70.t19))
+(step t70.t21 (cl (= @p_253 (! (=> @p_266 @p_267) :named @p_268))) :rule cong :premises (t70.t17 t70.t20))
+(step t70 (cl (! (= @p_255 (! (forall ((veriT_vr126 B_c_fun$) (veriT_vr127 B_set$) (veriT_vr128 B$) (veriT_vr129 B$)) @p_268) :named @p_270)) :named @p_269)) :rule bind)
+(step t71 (cl (not @p_269) (not @p_255) @p_270) :rule equiv_pos2)
+(step t72 (cl @p_270) :rule th_resolution :premises (t69 t70 t71))
+(anchor :step t73 :args ((:= (?v0 C$) veriT_vr130) (:= (?v1 C$) veriT_vr131)))
+(step t73.t1 (cl (! (= ?v0 veriT_vr130) :named @p_274)) :rule refl)
+(step t73.t2 (cl (! (= ?v1 veriT_vr131) :named @p_275)) :rule refl)
+(step t73.t3 (cl (= @p_272 (! (less$ veriT_vr130 veriT_vr131) :named @p_273))) :rule cong :premises (t73.t1 t73.t2))
+(step t73.t4 (cl @p_274) :rule refl)
+(step t73.t5 (cl @p_275) :rule refl)
+(step t73.t6 (cl (= @p_276 (! (less_eq$ veriT_vr130 veriT_vr131) :named @p_277))) :rule cong :premises (t73.t4 t73.t5))
+(step t73.t7 (cl @p_274) :rule refl)
+(step t73.t8 (cl @p_275) :rule refl)
+(step t73.t9 (cl (= @p_278 (! (= veriT_vr130 veriT_vr131) :named @p_279))) :rule cong :premises (t73.t7 t73.t8))
+(step t73.t10 (cl (= @p_280 (! (not @p_279) :named @p_281))) :rule cong :premises (t73.t9))
+(step t73.t11 (cl (= @p_282 (! (and @p_277 @p_281) :named @p_283))) :rule cong :premises (t73.t6 t73.t10))
+(step t73.t12 (cl (= @p_284 (! (= @p_273 @p_283) :named @p_285))) :rule cong :premises (t73.t3 t73.t11))
+(step t73 (cl (! (= @p_271 (! (forall ((veriT_vr130 C$) (veriT_vr131 C$)) @p_285) :named @p_287)) :named @p_286)) :rule bind)
+(step t74 (cl (not @p_286) (not @p_271) @p_287) :rule equiv_pos2)
+(step t75 (cl @p_287) :rule th_resolution :premises (a51 t73 t74))
+(anchor :step t76 :args ((:= (veriT_vr130 C$) veriT_vr132) (:= (veriT_vr131 C$) veriT_vr133)))
+(step t76.t1 (cl (! (= veriT_vr130 veriT_vr132) :named @p_289)) :rule refl)
+(step t76.t2 (cl (! (= veriT_vr131 veriT_vr133) :named @p_290)) :rule refl)
+(step t76.t3 (cl (= @p_273 (! (less$ veriT_vr132 veriT_vr133) :named @p_288))) :rule cong :premises (t76.t1 t76.t2))
+(step t76.t4 (cl @p_289) :rule refl)
+(step t76.t5 (cl @p_290) :rule refl)
+(step t76.t6 (cl (= @p_277 (! (less_eq$ veriT_vr132 veriT_vr133) :named @p_291))) :rule cong :premises (t76.t4 t76.t5))
+(step t76.t7 (cl @p_289) :rule refl)
+(step t76.t8 (cl @p_290) :rule refl)
+(step t76.t9 (cl (= @p_279 (! (= veriT_vr132 veriT_vr133) :named @p_292))) :rule cong :premises (t76.t7 t76.t8))
+(step t76.t10 (cl (= @p_281 (! (not @p_292) :named @p_293))) :rule cong :premises (t76.t9))
+(step t76.t11 (cl (= @p_283 (! (and @p_291 @p_293) :named @p_294))) :rule cong :premises (t76.t6 t76.t10))
+(step t76.t12 (cl (= @p_285 (! (= @p_288 @p_294) :named @p_295))) :rule cong :premises (t76.t3 t76.t11))
+(step t76 (cl (! (= @p_287 (! (forall ((veriT_vr132 C$) (veriT_vr133 C$)) @p_295) :named @p_297)) :named @p_296)) :rule bind)
+(step t77 (cl (not @p_296) (not @p_287) @p_297) :rule equiv_pos2)
+(step t78 (cl @p_297) :rule th_resolution :premises (t75 t76 t77))
+(anchor :step t79 :args ((:= (?v0 A$) veriT_vr134)))
+(step t79.t1 (cl (! (= ?v0 veriT_vr134) :named @p_302)) :rule refl)
+(step t79.t2 (cl (= @p_300 (! (member$a veriT_vr134 b$) :named @p_301))) :rule cong :premises (t79.t1))
+(step t79.t3 (cl @p_302) :rule refl)
+(step t79.t4 (cl (= @p_303 (! (fun_app$a @p_4 veriT_vr134) :named @p_304))) :rule cong :premises (t79.t3))
+(step t79.t5 (cl (= @p_305 (! (less$ @p_304 @p_299) :named @p_306))) :rule cong :premises (t79.t4))
+(step t79.t6 (cl (= @p_307 (! (and @p_301 @p_306) :named @p_308))) :rule cong :premises (t79.t2 t79.t5))
+(step t79 (cl (= @p_298 (! (exists ((veriT_vr134 A$)) @p_308) :named @p_310))) :rule bind)
+(step t80 (cl (! (= @p_309 (! (not @p_310) :named @p_312)) :named @p_311)) :rule cong :premises (t79))
+(step t81 (cl (! (not @p_311) :named @p_314) (! (not @p_309) :named @p_313) @p_312) :rule equiv_pos2)
+(step t82 (cl (not @p_313) @p_298) :rule not_not)
+(step t83 (cl @p_314 @p_298 @p_312) :rule th_resolution :premises (t82 t81))
+(step t84 (cl @p_312) :rule th_resolution :premises (a27 t80 t83))
+(anchor :step t85 :args ((:= (veriT_vr134 A$) veriT_vr135)))
+(step t85.t1 (cl (! (= veriT_vr134 veriT_vr135) :named @p_316)) :rule refl)
+(step t85.t2 (cl (= @p_301 (! (member$a veriT_vr135 b$) :named @p_315))) :rule cong :premises (t85.t1))
+(step t85.t3 (cl @p_316) :rule refl)
+(step t85.t4 (cl (= @p_304 (! (fun_app$a @p_4 veriT_vr135) :named @p_317))) :rule cong :premises (t85.t3))
+(step t85.t5 (cl (= @p_306 (! (less$ @p_317 @p_299) :named @p_318))) :rule cong :premises (t85.t4))
+(step t85.t6 (cl (= @p_308 (! (and @p_315 @p_318) :named @p_319))) :rule cong :premises (t85.t2 t85.t5))
+(step t85 (cl (= @p_310 (! (exists ((veriT_vr135 A$)) @p_319) :named @p_320))) :rule bind)
+(step t86 (cl (! (= @p_312 (! (not @p_320) :named @p_322)) :named @p_321)) :rule cong :premises (t85))
+(step t87 (cl (! (not @p_321) :named @p_324) (! (not @p_312) :named @p_323) @p_322) :rule equiv_pos2)
+(step t88 (cl (not @p_323) @p_310) :rule not_not)
+(step t89 (cl @p_324 @p_310 @p_322) :rule th_resolution :premises (t88 t87))
+(step t90 (cl @p_322) :rule th_resolution :premises (t84 t86 t89))
+(step t91 (cl (= @p_320 (! (not (! (forall ((veriT_vr135 A$)) (not @p_319)) :named @p_330)) :named @p_325))) :rule connective_def)
+(step t92 (cl (! (= @p_322 (! (not @p_325) :named @p_327)) :named @p_326)) :rule cong :premises (t91))
+(step t93 (cl (! (not @p_326) :named @p_329) (! (not @p_322) :named @p_328) @p_327) :rule equiv_pos2)
+(step t94 (cl (not @p_328) @p_320) :rule not_not)
+(step t95 (cl @p_329 @p_320 @p_327) :rule th_resolution :premises (t94 t93))
+(step t96 (cl (not @p_327) @p_330) :rule not_not)
+(step t97 (cl @p_329 @p_320 @p_330) :rule th_resolution :premises (t96 t95))
+(step t98 (cl @p_327) :rule th_resolution :premises (t90 t92 t97))
+(step t99 (cl @p_330) :rule th_resolution :premises (t96 t98))
+(step t100 (cl (or (! (not @p_203) :named @p_421) (! (forall ((veriT_vr94 B$) (veriT_vr95 A_b_fun$) (veriT_vr96 A$) (veriT_vr97 A_set$)) (or (not @p_192) (not @p_194) @p_200)) :named @p_422))) :rule qnt_cnf)
+(step t101 (cl (or (! (not @p_222) :named @p_339) (! (= (! (= bot$ @p_6) :named @p_335) @p_331) :named @p_337))) :rule forall_inst :args ((:= veriT_vr116 g$) (:= veriT_vr117 b$)))
+(step t102 (cl (or (! (not @p_120) :named @p_342) (! (=> @p_332 (! (finite$ @p_6) :named @p_334)) :named @p_341))) :rule forall_inst :args ((:= veriT_vr36 b$) (:= veriT_vr37 g$)))
+(step t103 (cl (or (! (not @p_101) :named @p_344) (! (= @p_299 (! (fun_app$ f$ @p_333) :named @p_354)) :named @p_345))) :rule forall_inst :args ((:= veriT_vr23 f$) (:= veriT_vr24 g$) (:= veriT_vr25 @p_5)))
+(step t104 (cl (or (! (not @p_32) :named @p_351) (! (=> (! (and @p_334 (! (not @p_335) :named @p_338)) :named @p_346) (! (member$ @p_336 @p_6) :named @p_350)) :named @p_349))) :rule forall_inst :args ((:= veriT_vr2 @p_6) (:= veriT_vr3 f$)))
+(step t105 (cl (! (not @p_337) :named @p_340) @p_338 @p_331) :rule equiv_pos2)
+(step t106 (cl @p_339 @p_337) :rule or :premises (t101))
+(step t107 (cl @p_340 @p_338) :rule resolution :premises (t105 a25))
+(step t108 (cl @p_337) :rule resolution :premises (t106 t63))
+(step t109 (cl @p_338) :rule resolution :premises (t107 t108))
+(step t110 (cl (! (not @p_341) :named @p_343) (not @p_332) @p_334) :rule implies_pos)
+(step t111 (cl @p_342 @p_341) :rule or :premises (t102))
+(step t112 (cl @p_343 @p_334) :rule resolution :premises (t110 a24))
+(step t113 (cl @p_341) :rule resolution :premises (t111 t42))
+(step t114 (cl @p_334) :rule resolution :premises (t112 t113))
+(step t115 (cl @p_344 @p_345) :rule or :premises (t103))
+(step t116 (cl @p_345) :rule resolution :premises (t115 t36))
+(step t117 (cl @p_346 (! (not @p_334) :named @p_348) (! (not @p_338) :named @p_347)) :rule and_neg)
+(step t118 (cl (not @p_347) @p_335) :rule not_not)
+(step t119 (cl @p_346 @p_348 @p_335) :rule th_resolution :premises (t118 t117))
+(step t120 (cl (! (not @p_349) :named @p_352) (not @p_346) @p_350) :rule implies_pos)
+(step t121 (cl @p_351 @p_349) :rule or :premises (t104))
+(step t122 (cl @p_346) :rule resolution :premises (t119 t109 t114))
+(step t123 (cl @p_352 @p_350) :rule resolution :premises (t120 t122))
+(step t124 (cl @p_349) :rule resolution :premises (t121 t21))
+(step t125 (cl @p_350) :rule resolution :premises (t123 t124))
+(step t126 (cl (or (! (not @p_270) :named @p_410) (! (=> (! (and @p_353 (! (= @p_354 (! (fun_app$ f$ @p_336) :named @p_406)) :named @p_408) @p_350 (! (member$ @p_333 @p_6) :named @p_405)) :named @p_407) @p_355) :named @p_409))) :rule forall_inst :args ((:= veriT_vr126 f$) (:= veriT_vr127 @p_6) (:= veriT_vr128 @p_336) (:= veriT_vr129 @p_333)))
+(step t127 (cl (or (! (not @p_170) :named @p_401) (! (not (! (and @p_350 (! (forall ((veriT_vr65 A$)) (! (not (! (and (! (= @p_336 (! (fun_app$b g$ veriT_vr65) :named @p_359)) :named @p_361) (! (member$a veriT_vr65 b$) :named @p_364)) :named @p_366)) :named @p_368)) :named @p_358)) :named @p_370)) :named @p_356))) :rule forall_inst :args ((:= veriT_vr62 @p_336) (:= veriT_vr63 g$) (:= veriT_vr64 b$)))
+(anchor :step t128)
+(assume t128.h1 @p_356)
+(anchor :step t128.t2 :args ((:= (veriT_vr65 A$) veriT_vr144)))
+(step t128.t2.t1 (cl (! (= veriT_vr65 veriT_vr144) :named @p_363)) :rule refl)
+(step t128.t2.t2 (cl (= @p_359 (! (fun_app$b g$ veriT_vr144) :named @p_360))) :rule cong :premises (t128.t2.t1))
+(step t128.t2.t3 (cl (= @p_361 (! (= @p_336 @p_360) :named @p_362))) :rule cong :premises (t128.t2.t2))
+(step t128.t2.t4 (cl @p_363) :rule refl)
+(step t128.t2.t5 (cl (= @p_364 (! (member$a veriT_vr144 b$) :named @p_365))) :rule cong :premises (t128.t2.t4))
+(step t128.t2.t6 (cl (= @p_366 (! (and @p_362 @p_365) :named @p_367))) :rule cong :premises (t128.t2.t3 t128.t2.t5))
+(step t128.t2.t7 (cl (= @p_368 (! (not @p_367) :named @p_369))) :rule cong :premises (t128.t2.t6))
+(step t128.t2 (cl (= @p_358 (! (forall ((veriT_vr144 A$)) @p_369) :named @p_371))) :rule bind)
+(step t128.t3 (cl (= @p_370 (! (and @p_350 @p_371) :named @p_372))) :rule cong :premises (t128.t2))
+(step t128.t4 (cl (! (= @p_356 (! (not @p_372) :named @p_375)) :named @p_373)) :rule cong :premises (t128.t3))
+(step t128.t5 (cl (! (not @p_373) :named @p_376) (! (not @p_356) :named @p_374) @p_375) :rule equiv_pos2)
+(step t128.t6 (cl (! (not @p_374) :named @p_400) @p_370) :rule not_not)
+(step t128.t7 (cl @p_376 @p_370 @p_375) :rule th_resolution :premises (t128.t6 t128.t5))
+(step t128.t8 (cl @p_375) :rule th_resolution :premises (t128.h1 t128.t4 t128.t7))
+(anchor :step t128.t9 :args ((:= (veriT_vr144 A$) veriT_vr145)))
+(step t128.t9.t1 (cl (! (= veriT_vr144 veriT_vr145) :named @p_380)) :rule refl)
+(step t128.t9.t2 (cl (= @p_360 @p_378)) :rule cong :premises (t128.t9.t1))
+(step t128.t9.t3 (cl (= @p_362 @p_379)) :rule cong :premises (t128.t9.t2))
+(step t128.t9.t4 (cl @p_380) :rule refl)
+(step t128.t9.t5 (cl (= @p_365 @p_381)) :rule cong :premises (t128.t9.t4))
+(step t128.t9.t6 (cl (= @p_367 @p_382)) :rule cong :premises (t128.t9.t3 t128.t9.t5))
+(step t128.t9.t7 (cl (= @p_369 @p_377)) :rule cong :premises (t128.t9.t6))
+(step t128.t9 (cl (= @p_371 (! (forall ((veriT_vr145 A$)) @p_377) :named @p_383))) :rule bind)
+(step t128.t10 (cl (= @p_372 (! (and @p_350 @p_383) :named @p_384))) :rule cong :premises (t128.t9))
+(step t128.t11 (cl (! (= @p_375 (! (not @p_384) :named @p_386)) :named @p_385)) :rule cong :premises (t128.t10))
+(step t128.t12 (cl (! (not @p_385) :named @p_388) (! (not @p_375) :named @p_387) @p_386) :rule equiv_pos2)
+(step t128.t13 (cl (not @p_387) @p_372) :rule not_not)
+(step t128.t14 (cl @p_388 @p_372 @p_386) :rule th_resolution :premises (t128.t13 t128.t12))
+(step t128.t15 (cl @p_386) :rule th_resolution :premises (t128.t8 t128.t11 t128.t14))
+(anchor :step t128.t16 :args ((:= (veriT_vr145 A$) veriT_sk0)))
+(step t128.t16.t1 (cl (! (= veriT_vr145 veriT_sk0) :named @p_392)) :rule refl)
+(step t128.t16.t2 (cl (= @p_378 (! (fun_app$b g$ veriT_sk0) :named @p_390))) :rule cong :premises (t128.t16.t1))
+(step t128.t16.t3 (cl (= @p_379 (! (= @p_336 @p_390) :named @p_391))) :rule cong :premises (t128.t16.t2))
+(step t128.t16.t4 (cl @p_392) :rule refl)
+(step t128.t16.t5 (cl (= @p_381 (! (member$a veriT_sk0 b$) :named @p_393))) :rule cong :premises (t128.t16.t4))
+(step t128.t16.t6 (cl (= @p_382 (! (and @p_391 @p_393) :named @p_394))) :rule cong :premises (t128.t16.t3 t128.t16.t5))
+(step t128.t16.t7 (cl (= @p_377 (! (not @p_394) :named @p_389))) :rule cong :premises (t128.t16.t6))
+(step t128.t16 (cl (= @p_383 @p_389)) :rule sko_forall)
+(step t128.t17 (cl (= @p_384 (! (and @p_350 @p_389) :named @p_395))) :rule cong :premises (t128.t16))
+(step t128.t18 (cl (! (= @p_386 (! (not @p_395) :named @p_396)) :named @p_397)) :rule cong :premises (t128.t17))
+(step t128.t19 (cl (! (not @p_397) :named @p_399) (! (not @p_386) :named @p_398) @p_396) :rule equiv_pos2)
+(step t128.t20 (cl (not @p_398) @p_384) :rule not_not)
+(step t128.t21 (cl @p_399 @p_384 @p_396) :rule th_resolution :premises (t128.t20 t128.t19))
+(step t128.t22 (cl @p_396) :rule th_resolution :premises (t128.t15 t128.t18 t128.t21))
+(step t128 (cl @p_374 @p_396) :rule subproof :discharge (h1))
+(step t129 (cl @p_400 @p_370) :rule not_not)
+(step t130 (cl @p_370 @p_396) :rule th_resolution :premises (t129 t128))
+(step t131 (cl @p_401 @p_356) :rule or :premises (t127))
+(step t132 (cl (! (or @p_401 @p_396) :named @p_403) (! (not @p_401) :named @p_402)) :rule or_neg)
+(step t133 (cl (not @p_402) @p_170) :rule not_not)
+(step t134 (cl @p_403 @p_170) :rule th_resolution :premises (t133 t132))
+(step t135 (cl @p_403 (! (not @p_396) :named @p_404)) :rule or_neg)
+(step t136 (cl (not @p_404) @p_395) :rule not_not)
+(step t137 (cl @p_403 @p_395) :rule th_resolution :premises (t136 t135))
+(step t138 (cl @p_403) :rule th_resolution :premises (t131 t130 t134 t137))
+(step t139 (cl (or (! (not @p_76) :named @p_420) (! (=> (! (and @p_334 @p_338 @p_405) :named @p_417) (! (less_eq$ @p_406 @p_354) :named @p_419)) :named @p_418))) :rule forall_inst :args ((:= veriT_vr11 @p_6) (:= veriT_vr12 @p_333) (:= veriT_vr13 f$)))
+(step t140 (cl @p_407 (not @p_353) (! (not @p_408) :named @p_411) (! (not @p_350) :named @p_415) (! (not @p_405) :named @p_412)) :rule and_neg)
+(step t141 (cl (! (not @p_409) :named @p_413) (! (not @p_407) :named @p_414) @p_355) :rule implies_pos)
+(step t142 (cl @p_410 @p_409) :rule or :premises (t126))
+(step t143 (cl @p_407 @p_411 @p_412) :rule resolution :premises (t140 a23 t125))
+(step t144 (cl @p_413 @p_414) :rule resolution :premises (t141 a52))
+(step t145 (cl @p_409) :rule resolution :premises (t142 t72))
+(step t146 (cl @p_414) :rule resolution :premises (t144 t145))
+(step t147 (cl @p_389 @p_391) :rule and_pos)
+(step t148 (cl @p_389 @p_393) :rule and_pos)
+(step t149 (cl @p_395 @p_415 (! (not @p_389) :named @p_416)) :rule and_neg)
+(step t150 (cl (not @p_416) @p_394) :rule not_not)
+(step t151 (cl @p_395 @p_415 @p_394) :rule th_resolution :premises (t150 t149))
+(step t152 (cl @p_401 @p_396) :rule or :premises (t138))
+(step t153 (cl @p_395 @p_394) :rule resolution :premises (t151 t125))
+(step t154 (cl @p_396) :rule resolution :premises (t152 t51))
+(step t155 (cl @p_394) :rule resolution :premises (t153 t154))
+(step t156 (cl @p_391) :rule resolution :premises (t147 t155))
+(step t157 (cl @p_393) :rule resolution :premises (t148 t155))
+(step t158 (cl @p_417 @p_348 @p_347 @p_412) :rule and_neg)
+(step t159 (cl @p_417 @p_348 @p_335 @p_412) :rule th_resolution :premises (t118 t158))
+(step t160 (cl (not @p_418) (not @p_417) @p_419) :rule implies_pos)
+(step t161 (cl @p_420 @p_418) :rule or :premises (t139))
+(step t162 (cl @p_417 @p_412) :rule resolution :premises (t159 t109 t114))
+(step t163 (cl @p_418) :rule resolution :premises (t161 t30))
+(step t164 (cl @p_421 @p_422) :rule or :premises (t100))
+(step t165 (cl (or (! (not @p_422) :named @p_424) (! (or (! (not (! (= @p_333 @p_333) :named @p_430)) :named @p_431) (! (not @p_423) :named @p_429) @p_405) :named @p_425))) :rule forall_inst :args ((:= veriT_vr94 @p_333) (:= veriT_vr95 g$) (:= veriT_vr96 @p_5) (:= veriT_vr97 b$)))
+(step t166 (cl @p_424 @p_425) :rule or :premises (t165))
+(step t167 (cl (! (or @p_421 @p_425) :named @p_427) (! (not @p_421) :named @p_426)) :rule or_neg)
+(step t168 (cl (not @p_426) @p_203) :rule not_not)
+(step t169 (cl @p_427 @p_203) :rule th_resolution :premises (t168 t167))
+(step t170 (cl @p_427 (! (not @p_425) :named @p_428)) :rule or_neg)
+(step t171 (cl @p_427) :rule th_resolution :premises (t164 t166 t169 t170))
+(anchor :step t172)
+(assume t172.h1 @p_425)
+(step t172.t2 (cl (= @p_430 true)) :rule eq_simplify)
+(step t172.t3 (cl (= @p_431 (! (not true) :named @p_432))) :rule cong :premises (t172.t2))
+(step t172.t4 (cl (= @p_432 false)) :rule not_simplify)
+(step t172.t5 (cl (= @p_431 false)) :rule trans :premises (t172.t3 t172.t4))
+(step t172.t6 (cl (= @p_425 (! (or false @p_429 @p_405) :named @p_433))) :rule cong :premises (t172.t5))
+(step t172.t7 (cl (= @p_433 (! (or @p_429 @p_405) :named @p_434))) :rule or_simplify)
+(step t172.t8 (cl (! (= @p_425 @p_434) :named @p_435)) :rule trans :premises (t172.t6 t172.t7))
+(step t172.t9 (cl (not @p_435) @p_428 @p_434) :rule equiv_pos2)
+(step t172.t10 (cl @p_434) :rule th_resolution :premises (t172.h1 t172.t8 t172.t9))
+(step t172 (cl @p_428 @p_434) :rule subproof :discharge (h1))
+(step t173 (cl @p_421 @p_425) :rule or :premises (t171))
+(step t174 (cl (! (or @p_421 @p_434) :named @p_436) @p_426) :rule or_neg)
+(step t175 (cl @p_436 @p_203) :rule th_resolution :premises (t168 t174))
+(step t176 (cl @p_436 (! (not @p_434) :named @p_437)) :rule or_neg)
+(step t177 (cl @p_436) :rule th_resolution :premises (t173 t172 t175 t176))
+(step t178 (cl @p_437 @p_429 @p_405) :rule or_pos)
+(step t179 (cl @p_421 @p_434) :rule or :premises (t177))
+(step t180 (cl @p_437 @p_405) :rule resolution :premises (t178 a26))
+(step t181 (cl @p_434) :rule resolution :premises (t179 t57))
+(step t182 (cl @p_405) :rule resolution :premises (t180 t181))
+(step t183 (cl @p_411) :rule resolution :premises (t143 t182 t146))
+(step t184 (cl @p_417) :rule resolution :premises (t162 t182))
+(step t185 (cl @p_419) :rule resolution :premises (t160 t184 t163))
+(step t186 (cl (or @p_325 (! (not (! (and @p_393 (! (less$ (! (fun_app$a @p_4 veriT_sk0) :named @p_438) @p_299) :named @p_440)) :named @p_439)) :named @p_441))) :rule forall_inst :args ((:= veriT_vr135 veriT_sk0)))
+(step t187 (cl (or (! (not @p_297) :named @p_448) (! (= (! (less$ @p_406 @p_354) :named @p_447) (! (and @p_419 @p_411) :named @p_443)) :named @p_446))) :rule forall_inst :args ((:= veriT_vr132 @p_406) (:= veriT_vr133 @p_354)))
+(step t188 (cl (or @p_344 (! (= @p_438 (! (fun_app$ f$ @p_390) :named @p_451)) :named @p_450))) :rule forall_inst :args ((:= veriT_vr23 f$) (:= veriT_vr24 g$) (:= veriT_vr25 veriT_sk0)))
+(step t189 (cl @p_439 (not @p_393) (! (not @p_440) :named @p_442)) :rule and_neg)
+(step t190 (cl @p_325 @p_441) :rule or :premises (t186))
+(step t191 (cl @p_439 @p_442) :rule resolution :premises (t189 t157))
+(step t192 (cl @p_441) :rule resolution :premises (t190 t99))
+(step t193 (cl @p_442) :rule resolution :premises (t191 t192))
+(step t194 (cl @p_443 (! (not @p_419) :named @p_445) (! (not @p_411) :named @p_444)) :rule and_neg)
+(step t195 (cl (not @p_444) @p_408) :rule not_not)
+(step t196 (cl @p_443 @p_445 @p_408) :rule th_resolution :premises (t195 t194))
+(step t197 (cl (! (not @p_446) :named @p_449) @p_447 (not @p_443)) :rule equiv_pos1)
+(step t198 (cl @p_448 @p_446) :rule or :premises (t187))
+(step t199 (cl @p_443) :rule resolution :premises (t196 t183 t185))
+(step t200 (cl @p_449 @p_447) :rule resolution :premises (t197 t199))
+(step t201 (cl @p_446) :rule resolution :premises (t198 t78))
+(step t202 (cl @p_447) :rule resolution :premises (t200 t201))
+(step t203 (cl @p_344 @p_450) :rule or :premises (t188))
+(step t204 (cl @p_450) :rule resolution :premises (t203 t36))
+(step t205 (cl (not (! (= @p_406 @p_438) :named @p_452)) (! (not @p_345) :named @p_457) (! (not @p_447) :named @p_458) @p_440) :rule eq_congruent_pred)
+(step t206 (cl (not (! (= @p_406 @p_451) :named @p_453)) (! (not @p_450) :named @p_456) @p_452) :rule eq_transitive)
+(step t207 (cl (not (! (= f$ f$) :named @p_454)) (! (not @p_391) :named @p_455) @p_453) :rule eq_congruent)
+(step t208 (cl @p_454) :rule eq_reflexive)
+(step t209 (cl @p_455 @p_453) :rule th_resolution :premises (t207 t208))
+(step t210 (cl @p_456 @p_452 @p_455) :rule th_resolution :premises (t206 t209))
+(step t211 (cl @p_457 @p_458 @p_440 @p_456 @p_455) :rule th_resolution :premises (t205 t210))
+(step t212 (cl) :rule resolution :premises (t211 t116 t156 t193 t202 t204))
 268d7e42d22bc05b4bcc195eddbced079a39fedf 791 0
 unsat
 (assume a0 (! (forall ((?v0 Real)) (! (= (! (fun_app$ uuc$ ?v0) :named @p_9) (! (pair$ (! (times$ (! (- ?v0 (! (divide$ 1.0 2.0) :named @p_7)) :named @p_12) d$) :named @p_1) (! (diamond_y$ @p_1) :named @p_16)) :named @p_18)) :named @p_20)) :named @p_6))
@@ -6867,574 +7435,6 @@
 (step t332 (cl @p_568 @p_563 @p_564 @p_555 @p_556 @p_557 @p_527) :rule contraction :premises (t331))
 (step t333 (cl @p_561 @p_403 @p_288 @p_568 @p_563 @p_555 @p_556 @p_557 @p_527) :rule th_resolution :premises (t325 t332))
 (step t334 (cl) :rule resolution :premises (t333 t81 t217 t221 t277 t270 t286 t295 t300 t316))
-f79704028180f39e90d9e958e4416fd1e60a60df 567 0
-unsat
-(define-fun veriT_sk0 () A$ (! (choice ((veriT_vr145 A$)) (not (! (not (! (and (! (= (! (arg_min_on$ f$ (! (image$b g$ b$) :named @p_6)) :named @p_336) (! (fun_app$b g$ veriT_vr145) :named @p_378)) :named @p_379) (! (member$a veriT_vr145 b$) :named @p_381)) :named @p_382)) :named @p_377))) :named @p_357))
-(assume a29 (! (forall ((?v0 B_set$) (?v1 B_c_fun$)) (! (=> (! (and (! (finite$ ?v0) :named @p_1) (! (not (! (= ?v0 bot$) :named @p_10)) :named @p_2)) :named @p_13) (! (member$ (! (arg_min_on$ ?v1 ?v0) :named @p_15) ?v0) :named @p_17)) :named @p_19)) :named @p_7))
-(assume a31 (! (forall ((?v0 B_set$) (?v1 B$) (?v2 B_c_fun$)) (! (=> (! (and @p_1 (! (and @p_2 (! (member$ ?v1 ?v0) :named @p_38)) :named @p_40)) :named @p_42) (! (less_eq$ (! (fun_app$ ?v2 (! (arg_min_on$ ?v2 ?v0) :named @p_45)) :named @p_47) (! (fun_app$ ?v2 ?v1) :named @p_50)) :named @p_52)) :named @p_54)) :named @p_33))
-(assume a33 (! (forall ((?v0 B_c_fun$) (?v1 A_b_fun$) (?v2 A$)) (! (= (! (fun_app$a (! (comp$ ?v0 ?v1) :named @p_78) ?v2) :named @p_80) (! (fun_app$ ?v0 (! (fun_app$b ?v1 ?v2) :named @p_3)) :named @p_86)) :named @p_88)) :named @p_77))
-(assume a36 (! (forall ((?v0 A_set$) (?v1 A_b_fun$)) (! (=> (! (finite$a ?v0) :named @p_103) (! (finite$ (! (image$b ?v1 ?v0) :named @p_106)) :named @p_108)) :named @p_110)) :named @p_102))
-(assume a40 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A_set$)) (! (=> (! (and (! (member$ ?v0 (! (image$b ?v1 ?v2) :named @p_122)) :named @p_124) (! (forall ((?v3 A$)) (! (=> (! (and (! (= ?v0 (! (fun_app$b ?v1 ?v3) :named @p_130)) :named @p_132) (! (member$a ?v3 ?v2) :named @p_136)) :named @p_138) false) :named @p_140)) :named @p_126)) :named @p_142) false) :named @p_144)) :named @p_121))
-(assume a44 (! (forall ((?v0 B$) (?v1 A_b_fun$) (?v2 A$) (?v3 A_set$)) (! (=> (! (and (! (= @p_3 ?v0) :named @p_173) (! (member$a ?v2 ?v3) :named @p_176)) :named @p_178) (! (member$ ?v0 (! (image$b ?v1 ?v3) :named @p_183)) :named @p_185)) :named @p_187)) :named @p_171))
-(assume a48 (! (forall ((?v0 A_b_fun$) (?v1 A_set$)) (! (= (! (= bot$ (! (image$b ?v0 ?v1) :named @p_205)) :named @p_207) (! (= bot$a ?v1) :named @p_210)) :named @p_212)) :named @p_204))
-(assume a50 (! (forall ((?v0 B_c_fun$) (?v1 B_set$) (?v2 B$) (?v3 B$)) (! (=> (! (and (! (inj_on$ ?v0 ?v1) :named @p_224) (! (and (! (= (! (fun_app$ ?v0 ?v2) :named @p_227) (! (fun_app$ ?v0 ?v3) :named @p_229)) :named @p_231) (! (and (! (member$ ?v2 ?v1) :named @p_235) (! (member$ ?v3 ?v1) :named @p_238)) :named @p_240)) :named @p_242)) :named @p_244) (! (= ?v3 ?v2) :named @p_246)) :named @p_248)) :named @p_223))
-(assume a51 (! (forall ((?v0 C$) (?v1 C$)) (! (= (! (less$ ?v0 ?v1) :named @p_272) (! (and (! (less_eq$ ?v0 ?v1) :named @p_276) (! (not (! (= ?v0 ?v1) :named @p_278)) :named @p_280)) :named @p_282)) :named @p_284)) :named @p_271))
-(assume a23 (! (inj_on$ f$ @p_6) :named @p_353))
-(assume a24 (! (finite$a b$) :named @p_332))
-(assume a25 (not (! (= bot$a b$) :named @p_331)))
-(assume a26 (! (member$a (! (arg_min_on$a (! (comp$ f$ g$) :named @p_4) b$) :named @p_5) b$) :named @p_423))
-(assume a27 (! (not (! (exists ((?v0 A$)) (! (and (! (member$a ?v0 b$) :named @p_300) (! (less$ (! (fun_app$a @p_4 ?v0) :named @p_303) (! (fun_app$a @p_4 @p_5) :named @p_299)) :named @p_305)) :named @p_307)) :named @p_298)) :named @p_309))
-(assume a52 (not (! (= @p_336 (! (fun_app$b g$ @p_5) :named @p_333)) :named @p_355)))
-(anchor :step t16 :args ((:= (?v0 B_set$) veriT_vr0) (:= (?v1 B_c_fun$) veriT_vr1)))
-(step t16.t1 (cl (! (= ?v0 veriT_vr0) :named @p_9)) :rule refl)
-(step t16.t2 (cl (= @p_1 (! (finite$ veriT_vr0) :named @p_8))) :rule cong :premises (t16.t1))
-(step t16.t3 (cl @p_9) :rule refl)
-(step t16.t4 (cl (= @p_10 (! (= bot$ veriT_vr0) :named @p_11))) :rule cong :premises (t16.t3))
-(step t16.t5 (cl (= @p_2 (! (not @p_11) :named @p_12))) :rule cong :premises (t16.t4))
-(step t16.t6 (cl (= @p_13 (! (and @p_8 @p_12) :named @p_14))) :rule cong :premises (t16.t2 t16.t5))
-(step t16.t7 (cl (= ?v1 veriT_vr1)) :rule refl)
-(step t16.t8 (cl @p_9) :rule refl)
-(step t16.t9 (cl (= @p_15 (! (arg_min_on$ veriT_vr1 veriT_vr0) :named @p_16))) :rule cong :premises (t16.t7 t16.t8))
-(step t16.t10 (cl @p_9) :rule refl)
-(step t16.t11 (cl (= @p_17 (! (member$ @p_16 veriT_vr0) :named @p_18))) :rule cong :premises (t16.t9 t16.t10))
-(step t16.t12 (cl (= @p_19 (! (=> @p_14 @p_18) :named @p_20))) :rule cong :premises (t16.t6 t16.t11))
-(step t16 (cl (! (= @p_7 (! (forall ((veriT_vr0 B_set$) (veriT_vr1 B_c_fun$)) @p_20) :named @p_22)) :named @p_21)) :rule bind)
-(step t17 (cl (not @p_21) (not @p_7) @p_22) :rule equiv_pos2)
-(step t18 (cl @p_22) :rule th_resolution :premises (a29 t16 t17))
-(anchor :step t19 :args ((:= (veriT_vr0 B_set$) veriT_vr2) (:= (veriT_vr1 B_c_fun$) veriT_vr3)))
-(step t19.t1 (cl (! (= veriT_vr0 veriT_vr2) :named @p_24)) :rule refl)
-(step t19.t2 (cl (= @p_8 (! (finite$ veriT_vr2) :named @p_23))) :rule cong :premises (t19.t1))
-(step t19.t3 (cl @p_24) :rule refl)
-(step t19.t4 (cl (= @p_11 (! (= bot$ veriT_vr2) :named @p_25))) :rule cong :premises (t19.t3))
-(step t19.t5 (cl (= @p_12 (! (not @p_25) :named @p_26))) :rule cong :premises (t19.t4))
-(step t19.t6 (cl (= @p_14 (! (and @p_23 @p_26) :named @p_27))) :rule cong :premises (t19.t2 t19.t5))
-(step t19.t7 (cl (= veriT_vr1 veriT_vr3)) :rule refl)
-(step t19.t8 (cl @p_24) :rule refl)
-(step t19.t9 (cl (= @p_16 (! (arg_min_on$ veriT_vr3 veriT_vr2) :named @p_28))) :rule cong :premises (t19.t7 t19.t8))
-(step t19.t10 (cl @p_24) :rule refl)
-(step t19.t11 (cl (= @p_18 (! (member$ @p_28 veriT_vr2) :named @p_29))) :rule cong :premises (t19.t9 t19.t10))
-(step t19.t12 (cl (= @p_20 (! (=> @p_27 @p_29) :named @p_30))) :rule cong :premises (t19.t6 t19.t11))
-(step t19 (cl (! (= @p_22 (! (forall ((veriT_vr2 B_set$) (veriT_vr3 B_c_fun$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
-(step t20 (cl (not @p_31) (not @p_22) @p_32) :rule equiv_pos2)
-(step t21 (cl @p_32) :rule th_resolution :premises (t18 t19 t20))
-(anchor :step t22 :args ((:= (?v0 B_set$) veriT_vr8) (:= (?v1 B$) veriT_vr9) (:= (?v2 B_c_fun$) veriT_vr10)))
-(step t22.t1 (cl (! (= ?v0 veriT_vr8) :named @p_35)) :rule refl)
-(step t22.t2 (cl (= @p_1 (! (finite$ veriT_vr8) :named @p_34))) :rule cong :premises (t22.t1))
-(step t22.t3 (cl @p_35) :rule refl)
-(step t22.t4 (cl (= @p_10 (! (= bot$ veriT_vr8) :named @p_36))) :rule cong :premises (t22.t3))
-(step t22.t5 (cl (= @p_2 (! (not @p_36) :named @p_37))) :rule cong :premises (t22.t4))
-(step t22.t6 (cl (! (= ?v1 veriT_vr9) :named @p_49)) :rule refl)
-(step t22.t7 (cl @p_35) :rule refl)
-(step t22.t8 (cl (= @p_38 (! (member$ veriT_vr9 veriT_vr8) :named @p_39))) :rule cong :premises (t22.t6 t22.t7))
-(step t22.t9 (cl (= @p_40 (! (and @p_37 @p_39) :named @p_41))) :rule cong :premises (t22.t5 t22.t8))
-(step t22.t10 (cl (= @p_42 (! (and @p_34 @p_41) :named @p_43))) :rule cong :premises (t22.t2 t22.t9))
-(step t22.t11 (cl (! (= ?v2 veriT_vr10) :named @p_44)) :rule refl)
-(step t22.t12 (cl @p_44) :rule refl)
-(step t22.t13 (cl @p_35) :rule refl)
-(step t22.t14 (cl (= @p_45 (! (arg_min_on$ veriT_vr10 veriT_vr8) :named @p_46))) :rule cong :premises (t22.t12 t22.t13))
-(step t22.t15 (cl (= @p_47 (! (fun_app$ veriT_vr10 @p_46) :named @p_48))) :rule cong :premises (t22.t11 t22.t14))
-(step t22.t16 (cl @p_44) :rule refl)
-(step t22.t17 (cl @p_49) :rule refl)
-(step t22.t18 (cl (= @p_50 (! (fun_app$ veriT_vr10 veriT_vr9) :named @p_51))) :rule cong :premises (t22.t16 t22.t17))
-(step t22.t19 (cl (= @p_52 (! (less_eq$ @p_48 @p_51) :named @p_53))) :rule cong :premises (t22.t15 t22.t18))
-(step t22.t20 (cl (= @p_54 (! (=> @p_43 @p_53) :named @p_55))) :rule cong :premises (t22.t10 t22.t19))
-(step t22 (cl (! (= @p_33 (! (forall ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)) @p_55) :named @p_57)) :named @p_56)) :rule bind)
-(step t23 (cl (not @p_56) (not @p_33) @p_57) :rule equiv_pos2)
-(step t24 (cl @p_57) :rule th_resolution :premises (a31 t22 t23))
-(anchor :step t25 :args ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)))
-(step t25.t1 (cl (= @p_43 (! (and @p_34 @p_37 @p_39) :named @p_58))) :rule ac_simp)
-(step t25.t2 (cl (= @p_55 (! (=> @p_58 @p_53) :named @p_59))) :rule cong :premises (t25.t1))
-(step t25 (cl (! (= @p_57 (! (forall ((veriT_vr8 B_set$) (veriT_vr9 B$) (veriT_vr10 B_c_fun$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
-(step t26 (cl (not @p_60) (not @p_57) @p_61) :rule equiv_pos2)
-(step t27 (cl @p_61) :rule th_resolution :premises (t24 t25 t26))
-(anchor :step t28 :args ((:= (veriT_vr8 B_set$) veriT_vr11) (:= (veriT_vr9 B$) veriT_vr12) (:= (veriT_vr10 B_c_fun$) veriT_vr13)))
-(step t28.t1 (cl (! (= veriT_vr8 veriT_vr11) :named @p_63)) :rule refl)
-(step t28.t2 (cl (= @p_34 (! (finite$ veriT_vr11) :named @p_62))) :rule cong :premises (t28.t1))
-(step t28.t3 (cl @p_63) :rule refl)
-(step t28.t4 (cl (= @p_36 (! (= bot$ veriT_vr11) :named @p_64))) :rule cong :premises (t28.t3))
-(step t28.t5 (cl (= @p_37 (! (not @p_64) :named @p_65))) :rule cong :premises (t28.t4))
-(step t28.t6 (cl (! (= veriT_vr9 veriT_vr12) :named @p_71)) :rule refl)
-(step t28.t7 (cl @p_63) :rule refl)
-(step t28.t8 (cl (= @p_39 (! (member$ veriT_vr12 veriT_vr11) :named @p_66))) :rule cong :premises (t28.t6 t28.t7))
-(step t28.t9 (cl (= @p_58 (! (and @p_62 @p_65 @p_66) :named @p_67))) :rule cong :premises (t28.t2 t28.t5 t28.t8))
-(step t28.t10 (cl (! (= veriT_vr10 veriT_vr13) :named @p_68)) :rule refl)
-(step t28.t11 (cl @p_68) :rule refl)
-(step t28.t12 (cl @p_63) :rule refl)
-(step t28.t13 (cl (= @p_46 (! (arg_min_on$ veriT_vr13 veriT_vr11) :named @p_69))) :rule cong :premises (t28.t11 t28.t12))
-(step t28.t14 (cl (= @p_48 (! (fun_app$ veriT_vr13 @p_69) :named @p_70))) :rule cong :premises (t28.t10 t28.t13))
-(step t28.t15 (cl @p_68) :rule refl)
-(step t28.t16 (cl @p_71) :rule refl)
-(step t28.t17 (cl (= @p_51 (! (fun_app$ veriT_vr13 veriT_vr12) :named @p_72))) :rule cong :premises (t28.t15 t28.t16))
-(step t28.t18 (cl (= @p_53 (! (less_eq$ @p_70 @p_72) :named @p_73))) :rule cong :premises (t28.t14 t28.t17))
-(step t28.t19 (cl (= @p_59 (! (=> @p_67 @p_73) :named @p_74))) :rule cong :premises (t28.t9 t28.t18))
-(step t28 (cl (! (= @p_61 (! (forall ((veriT_vr11 B_set$) (veriT_vr12 B$) (veriT_vr13 B_c_fun$)) @p_74) :named @p_76)) :named @p_75)) :rule bind)
-(step t29 (cl (not @p_75) (not @p_61) @p_76) :rule equiv_pos2)
-(step t30 (cl @p_76) :rule th_resolution :premises (t27 t28 t29))
-(anchor :step t31 :args ((:= (?v0 B_c_fun$) veriT_vr20) (:= (?v1 A_b_fun$) veriT_vr21) (:= (?v2 A$) veriT_vr22)))
-(step t31.t1 (cl (! (= ?v0 veriT_vr20) :named @p_82)) :rule refl)
-(step t31.t2 (cl (! (= ?v1 veriT_vr21) :named @p_83)) :rule refl)
-(step t31.t3 (cl (= @p_78 (! (comp$ veriT_vr20 veriT_vr21) :named @p_79))) :rule cong :premises (t31.t1 t31.t2))
-(step t31.t4 (cl (! (= ?v2 veriT_vr22) :named @p_84)) :rule refl)
-(step t31.t5 (cl (= @p_80 (! (fun_app$a @p_79 veriT_vr22) :named @p_81))) :rule cong :premises (t31.t3 t31.t4))
-(step t31.t6 (cl @p_82) :rule refl)
-(step t31.t7 (cl @p_83) :rule refl)
-(step t31.t8 (cl @p_84) :rule refl)
-(step t31.t9 (cl (= @p_3 (! (fun_app$b veriT_vr21 veriT_vr22) :named @p_85))) :rule cong :premises (t31.t7 t31.t8))
-(step t31.t10 (cl (= @p_86 (! (fun_app$ veriT_vr20 @p_85) :named @p_87))) :rule cong :premises (t31.t6 t31.t9))
-(step t31.t11 (cl (= @p_88 (! (= @p_81 @p_87) :named @p_89))) :rule cong :premises (t31.t5 t31.t10))
-(step t31 (cl (! (= @p_77 (! (forall ((veriT_vr20 B_c_fun$) (veriT_vr21 A_b_fun$) (veriT_vr22 A$)) @p_89) :named @p_91)) :named @p_90)) :rule bind)
-(step t32 (cl (not @p_90) (not @p_77) @p_91) :rule equiv_pos2)
-(step t33 (cl @p_91) :rule th_resolution :premises (a33 t31 t32))
-(anchor :step t34 :args ((:= (veriT_vr20 B_c_fun$) veriT_vr23) (:= (veriT_vr21 A_b_fun$) veriT_vr24) (:= (veriT_vr22 A$) veriT_vr25)))
-(step t34.t1 (cl (! (= veriT_vr20 veriT_vr23) :named @p_94)) :rule refl)
-(step t34.t2 (cl (! (= veriT_vr21 veriT_vr24) :named @p_95)) :rule refl)
-(step t34.t3 (cl (= @p_79 (! (comp$ veriT_vr23 veriT_vr24) :named @p_92))) :rule cong :premises (t34.t1 t34.t2))
-(step t34.t4 (cl (! (= veriT_vr22 veriT_vr25) :named @p_96)) :rule refl)
-(step t34.t5 (cl (= @p_81 (! (fun_app$a @p_92 veriT_vr25) :named @p_93))) :rule cong :premises (t34.t3 t34.t4))
-(step t34.t6 (cl @p_94) :rule refl)
-(step t34.t7 (cl @p_95) :rule refl)
-(step t34.t8 (cl @p_96) :rule refl)
-(step t34.t9 (cl (= @p_85 (! (fun_app$b veriT_vr24 veriT_vr25) :named @p_97))) :rule cong :premises (t34.t7 t34.t8))
-(step t34.t10 (cl (= @p_87 (! (fun_app$ veriT_vr23 @p_97) :named @p_98))) :rule cong :premises (t34.t6 t34.t9))
-(step t34.t11 (cl (= @p_89 (! (= @p_93 @p_98) :named @p_99))) :rule cong :premises (t34.t5 t34.t10))
-(step t34 (cl (! (= @p_91 (! (forall ((veriT_vr23 B_c_fun$) (veriT_vr24 A_b_fun$) (veriT_vr25 A$)) @p_99) :named @p_101)) :named @p_100)) :rule bind)
-(step t35 (cl (not @p_100) (not @p_91) @p_101) :rule equiv_pos2)
-(step t36 (cl @p_101) :rule th_resolution :premises (t33 t34 t35))
-(anchor :step t37 :args ((:= (?v0 A_set$) veriT_vr34) (:= (?v1 A_b_fun$) veriT_vr35)))
-(step t37.t1 (cl (! (= ?v0 veriT_vr34) :named @p_105)) :rule refl)
-(step t37.t2 (cl (= @p_103 (! (finite$a veriT_vr34) :named @p_104))) :rule cong :premises (t37.t1))
-(step t37.t3 (cl (= ?v1 veriT_vr35)) :rule refl)
-(step t37.t4 (cl @p_105) :rule refl)
-(step t37.t5 (cl (= @p_106 (! (image$b veriT_vr35 veriT_vr34) :named @p_107))) :rule cong :premises (t37.t3 t37.t4))
-(step t37.t6 (cl (= @p_108 (! (finite$ @p_107) :named @p_109))) :rule cong :premises (t37.t5))
-(step t37.t7 (cl (= @p_110 (! (=> @p_104 @p_109) :named @p_111))) :rule cong :premises (t37.t2 t37.t6))
-(step t37 (cl (! (= @p_102 (! (forall ((veriT_vr34 A_set$) (veriT_vr35 A_b_fun$)) @p_111) :named @p_113)) :named @p_112)) :rule bind)
-(step t38 (cl (not @p_112) (not @p_102) @p_113) :rule equiv_pos2)
-(step t39 (cl @p_113) :rule th_resolution :premises (a36 t37 t38))
-(anchor :step t40 :args ((:= (veriT_vr34 A_set$) veriT_vr36) (:= (veriT_vr35 A_b_fun$) veriT_vr37)))
-(step t40.t1 (cl (! (= veriT_vr34 veriT_vr36) :named @p_115)) :rule refl)
-(step t40.t2 (cl (= @p_104 (! (finite$a veriT_vr36) :named @p_114))) :rule cong :premises (t40.t1))
-(step t40.t3 (cl (= veriT_vr35 veriT_vr37)) :rule refl)
-(step t40.t4 (cl @p_115) :rule refl)
-(step t40.t5 (cl (= @p_107 (! (image$b veriT_vr37 veriT_vr36) :named @p_116))) :rule cong :premises (t40.t3 t40.t4))
-(step t40.t6 (cl (= @p_109 (! (finite$ @p_116) :named @p_117))) :rule cong :premises (t40.t5))
-(step t40.t7 (cl (= @p_111 (! (=> @p_114 @p_117) :named @p_118))) :rule cong :premises (t40.t2 t40.t6))
-(step t40 (cl (! (= @p_113 (! (forall ((veriT_vr36 A_set$) (veriT_vr37 A_b_fun$)) @p_118) :named @p_120)) :named @p_119)) :rule bind)
-(step t41 (cl (not @p_119) (not @p_113) @p_120) :rule equiv_pos2)
-(step t42 (cl @p_120) :rule th_resolution :premises (t39 t40 t41))
-(anchor :step t43 :args ((:= (?v0 B$) veriT_vr58) (:= (?v1 A_b_fun$) veriT_vr59) (:= (?v2 A_set$) veriT_vr60)))
-(step t43.t1 (cl (! (= ?v0 veriT_vr58) :named @p_128)) :rule refl)
-(step t43.t2 (cl (! (= ?v1 veriT_vr59) :named @p_129)) :rule refl)
-(step t43.t3 (cl (! (= ?v2 veriT_vr60) :named @p_135)) :rule refl)
-(step t43.t4 (cl (= @p_122 (! (image$b veriT_vr59 veriT_vr60) :named @p_123))) :rule cong :premises (t43.t2 t43.t3))
-(step t43.t5 (cl (= @p_124 (! (member$ veriT_vr58 @p_123) :named @p_125))) :rule cong :premises (t43.t1 t43.t4))
-(anchor :step t43.t6 :args ((:= (?v3 A$) veriT_vr61)))
-(step t43.t6.t1 (cl @p_128) :rule refl)
-(step t43.t6.t2 (cl @p_129) :rule refl)
-(step t43.t6.t3 (cl (! (= ?v3 veriT_vr61) :named @p_134)) :rule refl)
-(step t43.t6.t4 (cl (= @p_130 (! (fun_app$b veriT_vr59 veriT_vr61) :named @p_131))) :rule cong :premises (t43.t6.t2 t43.t6.t3))
-(step t43.t6.t5 (cl (= @p_132 (! (= veriT_vr58 @p_131) :named @p_133))) :rule cong :premises (t43.t6.t1 t43.t6.t4))
-(step t43.t6.t6 (cl @p_134) :rule refl)
-(step t43.t6.t7 (cl @p_135) :rule refl)
-(step t43.t6.t8 (cl (= @p_136 (! (member$a veriT_vr61 veriT_vr60) :named @p_137))) :rule cong :premises (t43.t6.t6 t43.t6.t7))
-(step t43.t6.t9 (cl (= @p_138 (! (and @p_133 @p_137) :named @p_139))) :rule cong :premises (t43.t6.t5 t43.t6.t8))
-(step t43.t6.t10 (cl (= @p_140 (! (=> @p_139 false) :named @p_141))) :rule cong :premises (t43.t6.t9))
-(step t43.t6 (cl (= @p_126 (! (forall ((veriT_vr61 A$)) @p_141) :named @p_127))) :rule bind)
-(step t43.t7 (cl (= @p_142 (! (and @p_125 @p_127) :named @p_143))) :rule cong :premises (t43.t5 t43.t6))
-(step t43.t8 (cl (= @p_144 (! (=> @p_143 false) :named @p_145))) :rule cong :premises (t43.t7))
-(step t43 (cl (! (= @p_121 (! (forall ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)) @p_145) :named @p_147)) :named @p_146)) :rule bind)
-(step t44 (cl (not @p_146) (not @p_121) @p_147) :rule equiv_pos2)
-(step t45 (cl @p_147) :rule th_resolution :premises (a40 t43 t44))
-(anchor :step t46 :args ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)))
-(anchor :step t46.t1 :args ((veriT_vr61 A$)))
-(step t46.t1.t1 (cl (= @p_141 (! (not @p_139) :named @p_149))) :rule implies_simplify)
-(step t46.t1 (cl (= @p_127 (! (forall ((veriT_vr61 A$)) @p_149) :named @p_148))) :rule bind)
-(step t46.t2 (cl (= @p_143 (! (and @p_125 @p_148) :named @p_150))) :rule cong :premises (t46.t1))
-(step t46.t3 (cl (= @p_145 (! (=> @p_150 false) :named @p_151))) :rule cong :premises (t46.t2))
-(step t46.t4 (cl (= @p_151 (! (not @p_150) :named @p_152))) :rule implies_simplify)
-(step t46.t5 (cl (= @p_145 @p_152)) :rule trans :premises (t46.t3 t46.t4))
-(step t46 (cl (! (= @p_147 (! (forall ((veriT_vr58 B$) (veriT_vr59 A_b_fun$) (veriT_vr60 A_set$)) @p_152) :named @p_154)) :named @p_153)) :rule bind)
-(step t47 (cl (not @p_153) (not @p_147) @p_154) :rule equiv_pos2)
-(step t48 (cl @p_154) :rule th_resolution :premises (t45 t46 t47))
-(anchor :step t49 :args ((:= (veriT_vr58 B$) veriT_vr62) (:= (veriT_vr59 A_b_fun$) veriT_vr63) (:= (veriT_vr60 A_set$) veriT_vr64)))
-(step t49.t1 (cl (! (= veriT_vr58 veriT_vr62) :named @p_158)) :rule refl)
-(step t49.t2 (cl (! (= veriT_vr59 veriT_vr63) :named @p_159)) :rule refl)
-(step t49.t3 (cl (! (= veriT_vr60 veriT_vr64) :named @p_163)) :rule refl)
-(step t49.t4 (cl (= @p_123 (! (image$b veriT_vr63 veriT_vr64) :named @p_155))) :rule cong :premises (t49.t2 t49.t3))
-(step t49.t5 (cl (= @p_125 (! (member$ veriT_vr62 @p_155) :named @p_156))) :rule cong :premises (t49.t1 t49.t4))
-(anchor :step t49.t6 :args ((:= (veriT_vr61 A$) veriT_vr65)))
-(step t49.t6.t1 (cl @p_158) :rule refl)
-(step t49.t6.t2 (cl @p_159) :rule refl)
-(step t49.t6.t3 (cl (! (= veriT_vr61 veriT_vr65) :named @p_162)) :rule refl)
-(step t49.t6.t4 (cl (= @p_131 (! (fun_app$b veriT_vr63 veriT_vr65) :named @p_160))) :rule cong :premises (t49.t6.t2 t49.t6.t3))
-(step t49.t6.t5 (cl (= @p_133 (! (= veriT_vr62 @p_160) :named @p_161))) :rule cong :premises (t49.t6.t1 t49.t6.t4))
-(step t49.t6.t6 (cl @p_162) :rule refl)
-(step t49.t6.t7 (cl @p_163) :rule refl)
-(step t49.t6.t8 (cl (= @p_137 (! (member$a veriT_vr65 veriT_vr64) :named @p_164))) :rule cong :premises (t49.t6.t6 t49.t6.t7))
-(step t49.t6.t9 (cl (= @p_139 (! (and @p_161 @p_164) :named @p_165))) :rule cong :premises (t49.t6.t5 t49.t6.t8))
-(step t49.t6.t10 (cl (= @p_149 (! (not @p_165) :named @p_166))) :rule cong :premises (t49.t6.t9))
-(step t49.t6 (cl (= @p_148 (! (forall ((veriT_vr65 A$)) @p_166) :named @p_157))) :rule bind)
-(step t49.t7 (cl (= @p_150 (! (and @p_156 @p_157) :named @p_167))) :rule cong :premises (t49.t5 t49.t6))
-(step t49.t8 (cl (= @p_152 (! (not @p_167) :named @p_168))) :rule cong :premises (t49.t7))
-(step t49 (cl (! (= @p_154 (! (forall ((veriT_vr62 B$) (veriT_vr63 A_b_fun$) (veriT_vr64 A_set$)) @p_168) :named @p_170)) :named @p_169)) :rule bind)
-(step t50 (cl (not @p_169) (not @p_154) @p_170) :rule equiv_pos2)
-(step t51 (cl @p_170) :rule th_resolution :premises (t48 t49 t50))
-(anchor :step t52 :args ((:= (?v0 B$) veriT_vr90) (:= (?v1 A_b_fun$) veriT_vr91) (:= (?v2 A$) veriT_vr92) (:= (?v3 A_set$) veriT_vr93)))
-(step t52.t1 (cl (! (= ?v1 veriT_vr91) :named @p_181)) :rule refl)
-(step t52.t2 (cl (! (= ?v2 veriT_vr92) :named @p_175)) :rule refl)
-(step t52.t3 (cl (= @p_3 (! (fun_app$b veriT_vr91 veriT_vr92) :named @p_172))) :rule cong :premises (t52.t1 t52.t2))
-(step t52.t4 (cl (! (= ?v0 veriT_vr90) :named @p_180)) :rule refl)
-(step t52.t5 (cl (= @p_173 (! (= veriT_vr90 @p_172) :named @p_174))) :rule cong :premises (t52.t3 t52.t4))
-(step t52.t6 (cl @p_175) :rule refl)
-(step t52.t7 (cl (! (= ?v3 veriT_vr93) :named @p_182)) :rule refl)
-(step t52.t8 (cl (= @p_176 (! (member$a veriT_vr92 veriT_vr93) :named @p_177))) :rule cong :premises (t52.t6 t52.t7))
-(step t52.t9 (cl (= @p_178 (! (and @p_174 @p_177) :named @p_179))) :rule cong :premises (t52.t5 t52.t8))
-(step t52.t10 (cl @p_180) :rule refl)
-(step t52.t11 (cl @p_181) :rule refl)
-(step t52.t12 (cl @p_182) :rule refl)
-(step t52.t13 (cl (= @p_183 (! (image$b veriT_vr91 veriT_vr93) :named @p_184))) :rule cong :premises (t52.t11 t52.t12))
-(step t52.t14 (cl (= @p_185 (! (member$ veriT_vr90 @p_184) :named @p_186))) :rule cong :premises (t52.t10 t52.t13))
-(step t52.t15 (cl (= @p_187 (! (=> @p_179 @p_186) :named @p_188))) :rule cong :premises (t52.t9 t52.t14))
-(step t52 (cl (! (= @p_171 (! (forall ((veriT_vr90 B$) (veriT_vr91 A_b_fun$) (veriT_vr92 A$) (veriT_vr93 A_set$)) @p_188) :named @p_190)) :named @p_189)) :rule bind)
-(step t53 (cl (not @p_189) (not @p_171) @p_190) :rule equiv_pos2)
-(step t54 (cl @p_190) :rule th_resolution :premises (a44 t52 t53))
-(anchor :step t55 :args ((:= (veriT_vr90 B$) veriT_vr94) (:= (veriT_vr91 A_b_fun$) veriT_vr95) (:= (veriT_vr92 A$) veriT_vr96) (:= (veriT_vr93 A_set$) veriT_vr97)))
-(step t55.t1 (cl (! (= veriT_vr90 veriT_vr94) :named @p_196)) :rule refl)
-(step t55.t2 (cl (! (= veriT_vr91 veriT_vr95) :named @p_197)) :rule refl)
-(step t55.t3 (cl (! (= veriT_vr92 veriT_vr96) :named @p_193)) :rule refl)
-(step t55.t4 (cl (= @p_172 (! (fun_app$b veriT_vr95 veriT_vr96) :named @p_191))) :rule cong :premises (t55.t2 t55.t3))
-(step t55.t5 (cl (= @p_174 (! (= veriT_vr94 @p_191) :named @p_192))) :rule cong :premises (t55.t1 t55.t4))
-(step t55.t6 (cl @p_193) :rule refl)
-(step t55.t7 (cl (! (= veriT_vr93 veriT_vr97) :named @p_198)) :rule refl)
-(step t55.t8 (cl (= @p_177 (! (member$a veriT_vr96 veriT_vr97) :named @p_194))) :rule cong :premises (t55.t6 t55.t7))
-(step t55.t9 (cl (= @p_179 (! (and @p_192 @p_194) :named @p_195))) :rule cong :premises (t55.t5 t55.t8))
-(step t55.t10 (cl @p_196) :rule refl)
-(step t55.t11 (cl @p_197) :rule refl)
-(step t55.t12 (cl @p_198) :rule refl)
-(step t55.t13 (cl (= @p_184 (! (image$b veriT_vr95 veriT_vr97) :named @p_199))) :rule cong :premises (t55.t11 t55.t12))
-(step t55.t14 (cl (= @p_186 (! (member$ veriT_vr94 @p_199) :named @p_200))) :rule cong :premises (t55.t10 t55.t13))
-(step t55.t15 (cl (= @p_188 (! (=> @p_195 @p_200) :named @p_201))) :rule cong :premises (t55.t9 t55.t14))
-(step t55 (cl (! (= @p_190 (! (forall ((veriT_vr94 B$) (veriT_vr95 A_b_fun$) (veriT_vr96 A$) (veriT_vr97 A_set$)) @p_201) :named @p_203)) :named @p_202)) :rule bind)
-(step t56 (cl (not @p_202) (not @p_190) @p_203) :rule equiv_pos2)
-(step t57 (cl @p_203) :rule th_resolution :premises (t54 t55 t56))
-(anchor :step t58 :args ((:= (?v0 A_b_fun$) veriT_vr114) (:= (?v1 A_set$) veriT_vr115)))
-(step t58.t1 (cl (= ?v0 veriT_vr114)) :rule refl)
-(step t58.t2 (cl (! (= ?v1 veriT_vr115) :named @p_209)) :rule refl)
-(step t58.t3 (cl (= @p_205 (! (image$b veriT_vr114 veriT_vr115) :named @p_206))) :rule cong :premises (t58.t1 t58.t2))
-(step t58.t4 (cl (= @p_207 (! (= bot$ @p_206) :named @p_208))) :rule cong :premises (t58.t3))
-(step t58.t5 (cl @p_209) :rule refl)
-(step t58.t6 (cl (= @p_210 (! (= bot$a veriT_vr115) :named @p_211))) :rule cong :premises (t58.t5))
-(step t58.t7 (cl (= @p_212 (! (= @p_208 @p_211) :named @p_213))) :rule cong :premises (t58.t4 t58.t6))
-(step t58 (cl (! (= @p_204 (! (forall ((veriT_vr114 A_b_fun$) (veriT_vr115 A_set$)) @p_213) :named @p_215)) :named @p_214)) :rule bind)
-(step t59 (cl (not @p_214) (not @p_204) @p_215) :rule equiv_pos2)
-(step t60 (cl @p_215) :rule th_resolution :premises (a48 t58 t59))
-(anchor :step t61 :args ((:= (veriT_vr114 A_b_fun$) veriT_vr116) (:= (veriT_vr115 A_set$) veriT_vr117)))
-(step t61.t1 (cl (= veriT_vr114 veriT_vr116)) :rule refl)
-(step t61.t2 (cl (! (= veriT_vr115 veriT_vr117) :named @p_218)) :rule refl)
-(step t61.t3 (cl (= @p_206 (! (image$b veriT_vr116 veriT_vr117) :named @p_216))) :rule cong :premises (t61.t1 t61.t2))
-(step t61.t4 (cl (= @p_208 (! (= bot$ @p_216) :named @p_217))) :rule cong :premises (t61.t3))
-(step t61.t5 (cl @p_218) :rule refl)
-(step t61.t6 (cl (= @p_211 (! (= bot$a veriT_vr117) :named @p_219))) :rule cong :premises (t61.t5))
-(step t61.t7 (cl (= @p_213 (! (= @p_217 @p_219) :named @p_220))) :rule cong :premises (t61.t4 t61.t6))
-(step t61 (cl (! (= @p_215 (! (forall ((veriT_vr116 A_b_fun$) (veriT_vr117 A_set$)) @p_220) :named @p_222)) :named @p_221)) :rule bind)
-(step t62 (cl (not @p_221) (not @p_215) @p_222) :rule equiv_pos2)
-(step t63 (cl @p_222) :rule th_resolution :premises (t60 t61 t62))
-(anchor :step t64 :args ((:= (?v0 B_c_fun$) veriT_vr122) (:= (?v1 B_set$) veriT_vr123) (:= (?v2 B$) veriT_vr124) (:= (?v3 B$) veriT_vr125)))
-(step t64.t1 (cl (! (= ?v0 veriT_vr122) :named @p_226)) :rule refl)
-(step t64.t2 (cl (! (= ?v1 veriT_vr123) :named @p_234)) :rule refl)
-(step t64.t3 (cl (= @p_224 (! (inj_on$ veriT_vr122 veriT_vr123) :named @p_225))) :rule cong :premises (t64.t1 t64.t2))
-(step t64.t4 (cl @p_226) :rule refl)
-(step t64.t5 (cl (! (= ?v2 veriT_vr124) :named @p_233)) :rule refl)
-(step t64.t6 (cl (= @p_227 (! (fun_app$ veriT_vr122 veriT_vr124) :named @p_228))) :rule cong :premises (t64.t4 t64.t5))
-(step t64.t7 (cl @p_226) :rule refl)
-(step t64.t8 (cl (! (= ?v3 veriT_vr125) :named @p_237)) :rule refl)
-(step t64.t9 (cl (= @p_229 (! (fun_app$ veriT_vr122 veriT_vr125) :named @p_230))) :rule cong :premises (t64.t7 t64.t8))
-(step t64.t10 (cl (= @p_231 (! (= @p_228 @p_230) :named @p_232))) :rule cong :premises (t64.t6 t64.t9))
-(step t64.t11 (cl @p_233) :rule refl)
-(step t64.t12 (cl @p_234) :rule refl)
-(step t64.t13 (cl (= @p_235 (! (member$ veriT_vr124 veriT_vr123) :named @p_236))) :rule cong :premises (t64.t11 t64.t12))
-(step t64.t14 (cl @p_237) :rule refl)
-(step t64.t15 (cl @p_234) :rule refl)
-(step t64.t16 (cl (= @p_238 (! (member$ veriT_vr125 veriT_vr123) :named @p_239))) :rule cong :premises (t64.t14 t64.t15))
-(step t64.t17 (cl (= @p_240 (! (and @p_236 @p_239) :named @p_241))) :rule cong :premises (t64.t13 t64.t16))
-(step t64.t18 (cl (= @p_242 (! (and @p_232 @p_241) :named @p_243))) :rule cong :premises (t64.t10 t64.t17))
-(step t64.t19 (cl (= @p_244 (! (and @p_225 @p_243) :named @p_245))) :rule cong :premises (t64.t3 t64.t18))
-(step t64.t20 (cl @p_237) :rule refl)
-(step t64.t21 (cl @p_233) :rule refl)
-(step t64.t22 (cl (= @p_246 (! (= veriT_vr124 veriT_vr125) :named @p_247))) :rule cong :premises (t64.t20 t64.t21))
-(step t64.t23 (cl (= @p_248 (! (=> @p_245 @p_247) :named @p_249))) :rule cong :premises (t64.t19 t64.t22))
-(step t64 (cl (! (= @p_223 (! (forall ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)) @p_249) :named @p_251)) :named @p_250)) :rule bind)
-(step t65 (cl (not @p_250) (not @p_223) @p_251) :rule equiv_pos2)
-(step t66 (cl @p_251) :rule th_resolution :premises (a50 t64 t65))
-(anchor :step t67 :args ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)))
-(step t67.t1 (cl (= @p_245 (! (and @p_225 @p_232 @p_236 @p_239) :named @p_252))) :rule ac_simp)
-(step t67.t2 (cl (= @p_249 (! (=> @p_252 @p_247) :named @p_253))) :rule cong :premises (t67.t1))
-(step t67 (cl (! (= @p_251 (! (forall ((veriT_vr122 B_c_fun$) (veriT_vr123 B_set$) (veriT_vr124 B$) (veriT_vr125 B$)) @p_253) :named @p_255)) :named @p_254)) :rule bind)
-(step t68 (cl (not @p_254) (not @p_251) @p_255) :rule equiv_pos2)
-(step t69 (cl @p_255) :rule th_resolution :premises (t66 t67 t68))
-(anchor :step t70 :args ((:= (veriT_vr122 B_c_fun$) veriT_vr126) (:= (veriT_vr123 B_set$) veriT_vr127) (:= (veriT_vr124 B$) veriT_vr128) (:= (veriT_vr125 B$) veriT_vr129)))
-(step t70.t1 (cl (! (= veriT_vr122 veriT_vr126) :named @p_257)) :rule refl)
-(step t70.t2 (cl (! (= veriT_vr123 veriT_vr127) :named @p_262)) :rule refl)
-(step t70.t3 (cl (= @p_225 (! (inj_on$ veriT_vr126 veriT_vr127) :named @p_256))) :rule cong :premises (t70.t1 t70.t2))
-(step t70.t4 (cl @p_257) :rule refl)
-(step t70.t5 (cl (! (= veriT_vr124 veriT_vr128) :named @p_261)) :rule refl)
-(step t70.t6 (cl (= @p_228 (! (fun_app$ veriT_vr126 veriT_vr128) :named @p_258))) :rule cong :premises (t70.t4 t70.t5))
-(step t70.t7 (cl @p_257) :rule refl)
-(step t70.t8 (cl (! (= veriT_vr125 veriT_vr129) :named @p_264)) :rule refl)
-(step t70.t9 (cl (= @p_230 (! (fun_app$ veriT_vr126 veriT_vr129) :named @p_259))) :rule cong :premises (t70.t7 t70.t8))
-(step t70.t10 (cl (= @p_232 (! (= @p_258 @p_259) :named @p_260))) :rule cong :premises (t70.t6 t70.t9))
-(step t70.t11 (cl @p_261) :rule refl)
-(step t70.t12 (cl @p_262) :rule refl)
-(step t70.t13 (cl (= @p_236 (! (member$ veriT_vr128 veriT_vr127) :named @p_263))) :rule cong :premises (t70.t11 t70.t12))
-(step t70.t14 (cl @p_264) :rule refl)
-(step t70.t15 (cl @p_262) :rule refl)
-(step t70.t16 (cl (= @p_239 (! (member$ veriT_vr129 veriT_vr127) :named @p_265))) :rule cong :premises (t70.t14 t70.t15))
-(step t70.t17 (cl (= @p_252 (! (and @p_256 @p_260 @p_263 @p_265) :named @p_266))) :rule cong :premises (t70.t3 t70.t10 t70.t13 t70.t16))
-(step t70.t18 (cl @p_261) :rule refl)
-(step t70.t19 (cl @p_264) :rule refl)
-(step t70.t20 (cl (= @p_247 (! (= veriT_vr128 veriT_vr129) :named @p_267))) :rule cong :premises (t70.t18 t70.t19))
-(step t70.t21 (cl (= @p_253 (! (=> @p_266 @p_267) :named @p_268))) :rule cong :premises (t70.t17 t70.t20))
-(step t70 (cl (! (= @p_255 (! (forall ((veriT_vr126 B_c_fun$) (veriT_vr127 B_set$) (veriT_vr128 B$) (veriT_vr129 B$)) @p_268) :named @p_270)) :named @p_269)) :rule bind)
-(step t71 (cl (not @p_269) (not @p_255) @p_270) :rule equiv_pos2)
-(step t72 (cl @p_270) :rule th_resolution :premises (t69 t70 t71))
-(anchor :step t73 :args ((:= (?v0 C$) veriT_vr130) (:= (?v1 C$) veriT_vr131)))
-(step t73.t1 (cl (! (= ?v0 veriT_vr130) :named @p_274)) :rule refl)
-(step t73.t2 (cl (! (= ?v1 veriT_vr131) :named @p_275)) :rule refl)
-(step t73.t3 (cl (= @p_272 (! (less$ veriT_vr130 veriT_vr131) :named @p_273))) :rule cong :premises (t73.t1 t73.t2))
-(step t73.t4 (cl @p_274) :rule refl)
-(step t73.t5 (cl @p_275) :rule refl)
-(step t73.t6 (cl (= @p_276 (! (less_eq$ veriT_vr130 veriT_vr131) :named @p_277))) :rule cong :premises (t73.t4 t73.t5))
-(step t73.t7 (cl @p_274) :rule refl)
-(step t73.t8 (cl @p_275) :rule refl)
-(step t73.t9 (cl (= @p_278 (! (= veriT_vr130 veriT_vr131) :named @p_279))) :rule cong :premises (t73.t7 t73.t8))
-(step t73.t10 (cl (= @p_280 (! (not @p_279) :named @p_281))) :rule cong :premises (t73.t9))
-(step t73.t11 (cl (= @p_282 (! (and @p_277 @p_281) :named @p_283))) :rule cong :premises (t73.t6 t73.t10))
-(step t73.t12 (cl (= @p_284 (! (= @p_273 @p_283) :named @p_285))) :rule cong :premises (t73.t3 t73.t11))
-(step t73 (cl (! (= @p_271 (! (forall ((veriT_vr130 C$) (veriT_vr131 C$)) @p_285) :named @p_287)) :named @p_286)) :rule bind)
-(step t74 (cl (not @p_286) (not @p_271) @p_287) :rule equiv_pos2)
-(step t75 (cl @p_287) :rule th_resolution :premises (a51 t73 t74))
-(anchor :step t76 :args ((:= (veriT_vr130 C$) veriT_vr132) (:= (veriT_vr131 C$) veriT_vr133)))
-(step t76.t1 (cl (! (= veriT_vr130 veriT_vr132) :named @p_289)) :rule refl)
-(step t76.t2 (cl (! (= veriT_vr131 veriT_vr133) :named @p_290)) :rule refl)
-(step t76.t3 (cl (= @p_273 (! (less$ veriT_vr132 veriT_vr133) :named @p_288))) :rule cong :premises (t76.t1 t76.t2))
-(step t76.t4 (cl @p_289) :rule refl)
-(step t76.t5 (cl @p_290) :rule refl)
-(step t76.t6 (cl (= @p_277 (! (less_eq$ veriT_vr132 veriT_vr133) :named @p_291))) :rule cong :premises (t76.t4 t76.t5))
-(step t76.t7 (cl @p_289) :rule refl)
-(step t76.t8 (cl @p_290) :rule refl)
-(step t76.t9 (cl (= @p_279 (! (= veriT_vr132 veriT_vr133) :named @p_292))) :rule cong :premises (t76.t7 t76.t8))
-(step t76.t10 (cl (= @p_281 (! (not @p_292) :named @p_293))) :rule cong :premises (t76.t9))
-(step t76.t11 (cl (= @p_283 (! (and @p_291 @p_293) :named @p_294))) :rule cong :premises (t76.t6 t76.t10))
-(step t76.t12 (cl (= @p_285 (! (= @p_288 @p_294) :named @p_295))) :rule cong :premises (t76.t3 t76.t11))
-(step t76 (cl (! (= @p_287 (! (forall ((veriT_vr132 C$) (veriT_vr133 C$)) @p_295) :named @p_297)) :named @p_296)) :rule bind)
-(step t77 (cl (not @p_296) (not @p_287) @p_297) :rule equiv_pos2)
-(step t78 (cl @p_297) :rule th_resolution :premises (t75 t76 t77))
-(anchor :step t79 :args ((:= (?v0 A$) veriT_vr134)))
-(step t79.t1 (cl (! (= ?v0 veriT_vr134) :named @p_302)) :rule refl)
-(step t79.t2 (cl (= @p_300 (! (member$a veriT_vr134 b$) :named @p_301))) :rule cong :premises (t79.t1))
-(step t79.t3 (cl @p_302) :rule refl)
-(step t79.t4 (cl (= @p_303 (! (fun_app$a @p_4 veriT_vr134) :named @p_304))) :rule cong :premises (t79.t3))
-(step t79.t5 (cl (= @p_305 (! (less$ @p_304 @p_299) :named @p_306))) :rule cong :premises (t79.t4))
-(step t79.t6 (cl (= @p_307 (! (and @p_301 @p_306) :named @p_308))) :rule cong :premises (t79.t2 t79.t5))
-(step t79 (cl (= @p_298 (! (exists ((veriT_vr134 A$)) @p_308) :named @p_310))) :rule bind)
-(step t80 (cl (! (= @p_309 (! (not @p_310) :named @p_312)) :named @p_311)) :rule cong :premises (t79))
-(step t81 (cl (! (not @p_311) :named @p_314) (! (not @p_309) :named @p_313) @p_312) :rule equiv_pos2)
-(step t82 (cl (not @p_313) @p_298) :rule not_not)
-(step t83 (cl @p_314 @p_298 @p_312) :rule th_resolution :premises (t82 t81))
-(step t84 (cl @p_312) :rule th_resolution :premises (a27 t80 t83))
-(anchor :step t85 :args ((:= (veriT_vr134 A$) veriT_vr135)))
-(step t85.t1 (cl (! (= veriT_vr134 veriT_vr135) :named @p_316)) :rule refl)
-(step t85.t2 (cl (= @p_301 (! (member$a veriT_vr135 b$) :named @p_315))) :rule cong :premises (t85.t1))
-(step t85.t3 (cl @p_316) :rule refl)
-(step t85.t4 (cl (= @p_304 (! (fun_app$a @p_4 veriT_vr135) :named @p_317))) :rule cong :premises (t85.t3))
-(step t85.t5 (cl (= @p_306 (! (less$ @p_317 @p_299) :named @p_318))) :rule cong :premises (t85.t4))
-(step t85.t6 (cl (= @p_308 (! (and @p_315 @p_318) :named @p_319))) :rule cong :premises (t85.t2 t85.t5))
-(step t85 (cl (= @p_310 (! (exists ((veriT_vr135 A$)) @p_319) :named @p_320))) :rule bind)
-(step t86 (cl (! (= @p_312 (! (not @p_320) :named @p_322)) :named @p_321)) :rule cong :premises (t85))
-(step t87 (cl (! (not @p_321) :named @p_324) (! (not @p_312) :named @p_323) @p_322) :rule equiv_pos2)
-(step t88 (cl (not @p_323) @p_310) :rule not_not)
-(step t89 (cl @p_324 @p_310 @p_322) :rule th_resolution :premises (t88 t87))
-(step t90 (cl @p_322) :rule th_resolution :premises (t84 t86 t89))
-(step t91 (cl (= @p_320 (! (not (! (forall ((veriT_vr135 A$)) (not @p_319)) :named @p_330)) :named @p_325))) :rule connective_def)
-(step t92 (cl (! (= @p_322 (! (not @p_325) :named @p_327)) :named @p_326)) :rule cong :premises (t91))
-(step t93 (cl (! (not @p_326) :named @p_329) (! (not @p_322) :named @p_328) @p_327) :rule equiv_pos2)
-(step t94 (cl (not @p_328) @p_320) :rule not_not)
-(step t95 (cl @p_329 @p_320 @p_327) :rule th_resolution :premises (t94 t93))
-(step t96 (cl (not @p_327) @p_330) :rule not_not)
-(step t97 (cl @p_329 @p_320 @p_330) :rule th_resolution :premises (t96 t95))
-(step t98 (cl @p_327) :rule th_resolution :premises (t90 t92 t97))
-(step t99 (cl @p_330) :rule th_resolution :premises (t96 t98))
-(step t100 (cl (or (! (not @p_203) :named @p_421) (! (forall ((veriT_vr94 B$) (veriT_vr95 A_b_fun$) (veriT_vr96 A$) (veriT_vr97 A_set$)) (or (not @p_192) (not @p_194) @p_200)) :named @p_422))) :rule qnt_cnf)
-(step t101 (cl (or (! (not @p_222) :named @p_339) (! (= (! (= bot$ @p_6) :named @p_335) @p_331) :named @p_337))) :rule forall_inst :args ((:= veriT_vr116 g$) (:= veriT_vr117 b$)))
-(step t102 (cl (or (! (not @p_120) :named @p_342) (! (=> @p_332 (! (finite$ @p_6) :named @p_334)) :named @p_341))) :rule forall_inst :args ((:= veriT_vr36 b$) (:= veriT_vr37 g$)))
-(step t103 (cl (or (! (not @p_101) :named @p_344) (! (= @p_299 (! (fun_app$ f$ @p_333) :named @p_354)) :named @p_345))) :rule forall_inst :args ((:= veriT_vr23 f$) (:= veriT_vr24 g$) (:= veriT_vr25 @p_5)))
-(step t104 (cl (or (! (not @p_32) :named @p_351) (! (=> (! (and @p_334 (! (not @p_335) :named @p_338)) :named @p_346) (! (member$ @p_336 @p_6) :named @p_350)) :named @p_349))) :rule forall_inst :args ((:= veriT_vr2 @p_6) (:= veriT_vr3 f$)))
-(step t105 (cl (! (not @p_337) :named @p_340) @p_338 @p_331) :rule equiv_pos2)
-(step t106 (cl @p_339 @p_337) :rule or :premises (t101))
-(step t107 (cl @p_340 @p_338) :rule resolution :premises (t105 a25))
-(step t108 (cl @p_337) :rule resolution :premises (t106 t63))
-(step t109 (cl @p_338) :rule resolution :premises (t107 t108))
-(step t110 (cl (! (not @p_341) :named @p_343) (not @p_332) @p_334) :rule implies_pos)
-(step t111 (cl @p_342 @p_341) :rule or :premises (t102))
-(step t112 (cl @p_343 @p_334) :rule resolution :premises (t110 a24))
-(step t113 (cl @p_341) :rule resolution :premises (t111 t42))
-(step t114 (cl @p_334) :rule resolution :premises (t112 t113))
-(step t115 (cl @p_344 @p_345) :rule or :premises (t103))
-(step t116 (cl @p_345) :rule resolution :premises (t115 t36))
-(step t117 (cl @p_346 (! (not @p_334) :named @p_348) (! (not @p_338) :named @p_347)) :rule and_neg)
-(step t118 (cl (not @p_347) @p_335) :rule not_not)
-(step t119 (cl @p_346 @p_348 @p_335) :rule th_resolution :premises (t118 t117))
-(step t120 (cl (! (not @p_349) :named @p_352) (not @p_346) @p_350) :rule implies_pos)
-(step t121 (cl @p_351 @p_349) :rule or :premises (t104))
-(step t122 (cl @p_346) :rule resolution :premises (t119 t109 t114))
-(step t123 (cl @p_352 @p_350) :rule resolution :premises (t120 t122))
-(step t124 (cl @p_349) :rule resolution :premises (t121 t21))
-(step t125 (cl @p_350) :rule resolution :premises (t123 t124))
-(step t126 (cl (or (! (not @p_270) :named @p_410) (! (=> (! (and @p_353 (! (= @p_354 (! (fun_app$ f$ @p_336) :named @p_406)) :named @p_408) @p_350 (! (member$ @p_333 @p_6) :named @p_405)) :named @p_407) @p_355) :named @p_409))) :rule forall_inst :args ((:= veriT_vr126 f$) (:= veriT_vr127 @p_6) (:= veriT_vr128 @p_336) (:= veriT_vr129 @p_333)))
-(step t127 (cl (or (! (not @p_170) :named @p_401) (! (not (! (and @p_350 (! (forall ((veriT_vr65 A$)) (! (not (! (and (! (= @p_336 (! (fun_app$b g$ veriT_vr65) :named @p_359)) :named @p_361) (! (member$a veriT_vr65 b$) :named @p_364)) :named @p_366)) :named @p_368)) :named @p_358)) :named @p_370)) :named @p_356))) :rule forall_inst :args ((:= veriT_vr62 @p_336) (:= veriT_vr63 g$) (:= veriT_vr64 b$)))
-(anchor :step t128)
-(assume t128.h1 @p_356)
-(anchor :step t128.t2 :args ((:= (veriT_vr65 A$) veriT_vr144)))
-(step t128.t2.t1 (cl (! (= veriT_vr65 veriT_vr144) :named @p_363)) :rule refl)
-(step t128.t2.t2 (cl (= @p_359 (! (fun_app$b g$ veriT_vr144) :named @p_360))) :rule cong :premises (t128.t2.t1))
-(step t128.t2.t3 (cl (= @p_361 (! (= @p_336 @p_360) :named @p_362))) :rule cong :premises (t128.t2.t2))
-(step t128.t2.t4 (cl @p_363) :rule refl)
-(step t128.t2.t5 (cl (= @p_364 (! (member$a veriT_vr144 b$) :named @p_365))) :rule cong :premises (t128.t2.t4))
-(step t128.t2.t6 (cl (= @p_366 (! (and @p_362 @p_365) :named @p_367))) :rule cong :premises (t128.t2.t3 t128.t2.t5))
-(step t128.t2.t7 (cl (= @p_368 (! (not @p_367) :named @p_369))) :rule cong :premises (t128.t2.t6))
-(step t128.t2 (cl (= @p_358 (! (forall ((veriT_vr144 A$)) @p_369) :named @p_371))) :rule bind)
-(step t128.t3 (cl (= @p_370 (! (and @p_350 @p_371) :named @p_372))) :rule cong :premises (t128.t2))
-(step t128.t4 (cl (! (= @p_356 (! (not @p_372) :named @p_375)) :named @p_373)) :rule cong :premises (t128.t3))
-(step t128.t5 (cl (! (not @p_373) :named @p_376) (! (not @p_356) :named @p_374) @p_375) :rule equiv_pos2)
-(step t128.t6 (cl (! (not @p_374) :named @p_400) @p_370) :rule not_not)
-(step t128.t7 (cl @p_376 @p_370 @p_375) :rule th_resolution :premises (t128.t6 t128.t5))
-(step t128.t8 (cl @p_375) :rule th_resolution :premises (t128.h1 t128.t4 t128.t7))
-(anchor :step t128.t9 :args ((:= (veriT_vr144 A$) veriT_vr145)))
-(step t128.t9.t1 (cl (! (= veriT_vr144 veriT_vr145) :named @p_380)) :rule refl)
-(step t128.t9.t2 (cl (= @p_360 @p_378)) :rule cong :premises (t128.t9.t1))
-(step t128.t9.t3 (cl (= @p_362 @p_379)) :rule cong :premises (t128.t9.t2))
-(step t128.t9.t4 (cl @p_380) :rule refl)
-(step t128.t9.t5 (cl (= @p_365 @p_381)) :rule cong :premises (t128.t9.t4))
-(step t128.t9.t6 (cl (= @p_367 @p_382)) :rule cong :premises (t128.t9.t3 t128.t9.t5))
-(step t128.t9.t7 (cl (= @p_369 @p_377)) :rule cong :premises (t128.t9.t6))
-(step t128.t9 (cl (= @p_371 (! (forall ((veriT_vr145 A$)) @p_377) :named @p_383))) :rule bind)
-(step t128.t10 (cl (= @p_372 (! (and @p_350 @p_383) :named @p_384))) :rule cong :premises (t128.t9))
-(step t128.t11 (cl (! (= @p_375 (! (not @p_384) :named @p_386)) :named @p_385)) :rule cong :premises (t128.t10))
-(step t128.t12 (cl (! (not @p_385) :named @p_388) (! (not @p_375) :named @p_387) @p_386) :rule equiv_pos2)
-(step t128.t13 (cl (not @p_387) @p_372) :rule not_not)
-(step t128.t14 (cl @p_388 @p_372 @p_386) :rule th_resolution :premises (t128.t13 t128.t12))
-(step t128.t15 (cl @p_386) :rule th_resolution :premises (t128.t8 t128.t11 t128.t14))
-(anchor :step t128.t16 :args ((:= (veriT_vr145 A$) veriT_sk0)))
-(step t128.t16.t1 (cl (! (= veriT_vr145 veriT_sk0) :named @p_392)) :rule refl)
-(step t128.t16.t2 (cl (= @p_378 (! (fun_app$b g$ veriT_sk0) :named @p_390))) :rule cong :premises (t128.t16.t1))
-(step t128.t16.t3 (cl (= @p_379 (! (= @p_336 @p_390) :named @p_391))) :rule cong :premises (t128.t16.t2))
-(step t128.t16.t4 (cl @p_392) :rule refl)
-(step t128.t16.t5 (cl (= @p_381 (! (member$a veriT_sk0 b$) :named @p_393))) :rule cong :premises (t128.t16.t4))
-(step t128.t16.t6 (cl (= @p_382 (! (and @p_391 @p_393) :named @p_394))) :rule cong :premises (t128.t16.t3 t128.t16.t5))
-(step t128.t16.t7 (cl (= @p_377 (! (not @p_394) :named @p_389))) :rule cong :premises (t128.t16.t6))
-(step t128.t16 (cl (= @p_383 @p_389)) :rule sko_forall)
-(step t128.t17 (cl (= @p_384 (! (and @p_350 @p_389) :named @p_395))) :rule cong :premises (t128.t16))
-(step t128.t18 (cl (! (= @p_386 (! (not @p_395) :named @p_396)) :named @p_397)) :rule cong :premises (t128.t17))
-(step t128.t19 (cl (! (not @p_397) :named @p_399) (! (not @p_386) :named @p_398) @p_396) :rule equiv_pos2)
-(step t128.t20 (cl (not @p_398) @p_384) :rule not_not)
-(step t128.t21 (cl @p_399 @p_384 @p_396) :rule th_resolution :premises (t128.t20 t128.t19))
-(step t128.t22 (cl @p_396) :rule th_resolution :premises (t128.t15 t128.t18 t128.t21))
-(step t128 (cl @p_374 @p_396) :rule subproof :discharge (h1))
-(step t129 (cl @p_400 @p_370) :rule not_not)
-(step t130 (cl @p_370 @p_396) :rule th_resolution :premises (t129 t128))
-(step t131 (cl @p_401 @p_356) :rule or :premises (t127))
-(step t132 (cl (! (or @p_401 @p_396) :named @p_403) (! (not @p_401) :named @p_402)) :rule or_neg)
-(step t133 (cl (not @p_402) @p_170) :rule not_not)
-(step t134 (cl @p_403 @p_170) :rule th_resolution :premises (t133 t132))
-(step t135 (cl @p_403 (! (not @p_396) :named @p_404)) :rule or_neg)
-(step t136 (cl (not @p_404) @p_395) :rule not_not)
-(step t137 (cl @p_403 @p_395) :rule th_resolution :premises (t136 t135))
-(step t138 (cl @p_403) :rule th_resolution :premises (t131 t130 t134 t137))
-(step t139 (cl (or (! (not @p_76) :named @p_420) (! (=> (! (and @p_334 @p_338 @p_405) :named @p_417) (! (less_eq$ @p_406 @p_354) :named @p_419)) :named @p_418))) :rule forall_inst :args ((:= veriT_vr11 @p_6) (:= veriT_vr12 @p_333) (:= veriT_vr13 f$)))
-(step t140 (cl @p_407 (not @p_353) (! (not @p_408) :named @p_411) (! (not @p_350) :named @p_415) (! (not @p_405) :named @p_412)) :rule and_neg)
-(step t141 (cl (! (not @p_409) :named @p_413) (! (not @p_407) :named @p_414) @p_355) :rule implies_pos)
-(step t142 (cl @p_410 @p_409) :rule or :premises (t126))
-(step t143 (cl @p_407 @p_411 @p_412) :rule resolution :premises (t140 a23 t125))
-(step t144 (cl @p_413 @p_414) :rule resolution :premises (t141 a52))
-(step t145 (cl @p_409) :rule resolution :premises (t142 t72))
-(step t146 (cl @p_414) :rule resolution :premises (t144 t145))
-(step t147 (cl @p_389 @p_391) :rule and_pos)
-(step t148 (cl @p_389 @p_393) :rule and_pos)
-(step t149 (cl @p_395 @p_415 (! (not @p_389) :named @p_416)) :rule and_neg)
-(step t150 (cl (not @p_416) @p_394) :rule not_not)
-(step t151 (cl @p_395 @p_415 @p_394) :rule th_resolution :premises (t150 t149))
-(step t152 (cl @p_401 @p_396) :rule or :premises (t138))
-(step t153 (cl @p_395 @p_394) :rule resolution :premises (t151 t125))
-(step t154 (cl @p_396) :rule resolution :premises (t152 t51))
-(step t155 (cl @p_394) :rule resolution :premises (t153 t154))
-(step t156 (cl @p_391) :rule resolution :premises (t147 t155))
-(step t157 (cl @p_393) :rule resolution :premises (t148 t155))
-(step t158 (cl @p_417 @p_348 @p_347 @p_412) :rule and_neg)
-(step t159 (cl @p_417 @p_348 @p_335 @p_412) :rule th_resolution :premises (t118 t158))
-(step t160 (cl (not @p_418) (not @p_417) @p_419) :rule implies_pos)
-(step t161 (cl @p_420 @p_418) :rule or :premises (t139))
-(step t162 (cl @p_417 @p_412) :rule resolution :premises (t159 t109 t114))
-(step t163 (cl @p_418) :rule resolution :premises (t161 t30))
-(step t164 (cl @p_421 @p_422) :rule or :premises (t100))
-(step t165 (cl (or (! (not @p_422) :named @p_424) (! (or (! (not (! (= @p_333 @p_333) :named @p_430)) :named @p_431) (! (not @p_423) :named @p_429) @p_405) :named @p_425))) :rule forall_inst :args ((:= veriT_vr94 @p_333) (:= veriT_vr95 g$) (:= veriT_vr96 @p_5) (:= veriT_vr97 b$)))
-(step t166 (cl @p_424 @p_425) :rule or :premises (t165))
-(step t167 (cl (! (or @p_421 @p_425) :named @p_427) (! (not @p_421) :named @p_426)) :rule or_neg)
-(step t168 (cl (not @p_426) @p_203) :rule not_not)
-(step t169 (cl @p_427 @p_203) :rule th_resolution :premises (t168 t167))
-(step t170 (cl @p_427 (! (not @p_425) :named @p_428)) :rule or_neg)
-(step t171 (cl @p_427) :rule th_resolution :premises (t164 t166 t169 t170))
-(anchor :step t172)
-(assume t172.h1 @p_425)
-(step t172.t2 (cl (= @p_430 true)) :rule eq_simplify)
-(step t172.t3 (cl (= @p_431 (! (not true) :named @p_432))) :rule cong :premises (t172.t2))
-(step t172.t4 (cl (= @p_432 false)) :rule not_simplify)
-(step t172.t5 (cl (= @p_431 false)) :rule trans :premises (t172.t3 t172.t4))
-(step t172.t6 (cl (= @p_425 (! (or false @p_429 @p_405) :named @p_433))) :rule cong :premises (t172.t5))
-(step t172.t7 (cl (= @p_433 (! (or @p_429 @p_405) :named @p_434))) :rule or_simplify)
-(step t172.t8 (cl (! (= @p_425 @p_434) :named @p_435)) :rule trans :premises (t172.t6 t172.t7))
-(step t172.t9 (cl (not @p_435) @p_428 @p_434) :rule equiv_pos2)
-(step t172.t10 (cl @p_434) :rule th_resolution :premises (t172.h1 t172.t8 t172.t9))
-(step t172 (cl @p_428 @p_434) :rule subproof :discharge (h1))
-(step t173 (cl @p_421 @p_425) :rule or :premises (t171))
-(step t174 (cl (! (or @p_421 @p_434) :named @p_436) @p_426) :rule or_neg)
-(step t175 (cl @p_436 @p_203) :rule th_resolution :premises (t168 t174))
-(step t176 (cl @p_436 (! (not @p_434) :named @p_437)) :rule or_neg)
-(step t177 (cl @p_436) :rule th_resolution :premises (t173 t172 t175 t176))
-(step t178 (cl @p_437 @p_429 @p_405) :rule or_pos)
-(step t179 (cl @p_421 @p_434) :rule or :premises (t177))
-(step t180 (cl @p_437 @p_405) :rule resolution :premises (t178 a26))
-(step t181 (cl @p_434) :rule resolution :premises (t179 t57))
-(step t182 (cl @p_405) :rule resolution :premises (t180 t181))
-(step t183 (cl @p_411) :rule resolution :premises (t143 t182 t146))
-(step t184 (cl @p_417) :rule resolution :premises (t162 t182))
-(step t185 (cl @p_419) :rule resolution :premises (t160 t184 t163))
-(step t186 (cl (or @p_325 (! (not (! (and @p_393 (! (less$ (! (fun_app$a @p_4 veriT_sk0) :named @p_438) @p_299) :named @p_440)) :named @p_439)) :named @p_441))) :rule forall_inst :args ((:= veriT_vr135 veriT_sk0)))
-(step t187 (cl (or (! (not @p_297) :named @p_448) (! (= (! (less$ @p_406 @p_354) :named @p_447) (! (and @p_419 @p_411) :named @p_443)) :named @p_446))) :rule forall_inst :args ((:= veriT_vr132 @p_406) (:= veriT_vr133 @p_354)))
-(step t188 (cl (or @p_344 (! (= @p_438 (! (fun_app$ f$ @p_390) :named @p_451)) :named @p_450))) :rule forall_inst :args ((:= veriT_vr23 f$) (:= veriT_vr24 g$) (:= veriT_vr25 veriT_sk0)))
-(step t189 (cl @p_439 (not @p_393) (! (not @p_440) :named @p_442)) :rule and_neg)
-(step t190 (cl @p_325 @p_441) :rule or :premises (t186))
-(step t191 (cl @p_439 @p_442) :rule resolution :premises (t189 t157))
-(step t192 (cl @p_441) :rule resolution :premises (t190 t99))
-(step t193 (cl @p_442) :rule resolution :premises (t191 t192))
-(step t194 (cl @p_443 (! (not @p_419) :named @p_445) (! (not @p_411) :named @p_444)) :rule and_neg)
-(step t195 (cl (not @p_444) @p_408) :rule not_not)
-(step t196 (cl @p_443 @p_445 @p_408) :rule th_resolution :premises (t195 t194))
-(step t197 (cl (! (not @p_446) :named @p_449) @p_447 (not @p_443)) :rule equiv_pos1)
-(step t198 (cl @p_448 @p_446) :rule or :premises (t187))
-(step t199 (cl @p_443) :rule resolution :premises (t196 t183 t185))
-(step t200 (cl @p_449 @p_447) :rule resolution :premises (t197 t199))
-(step t201 (cl @p_446) :rule resolution :premises (t198 t78))
-(step t202 (cl @p_447) :rule resolution :premises (t200 t201))
-(step t203 (cl @p_344 @p_450) :rule or :premises (t188))
-(step t204 (cl @p_450) :rule resolution :premises (t203 t36))
-(step t205 (cl (not (! (= @p_406 @p_438) :named @p_452)) (! (not @p_345) :named @p_457) (! (not @p_447) :named @p_458) @p_440) :rule eq_congruent_pred)
-(step t206 (cl (not (! (= @p_406 @p_451) :named @p_453)) (! (not @p_450) :named @p_456) @p_452) :rule eq_transitive)
-(step t207 (cl (not (! (= f$ f$) :named @p_454)) (! (not @p_391) :named @p_455) @p_453) :rule eq_congruent)
-(step t208 (cl @p_454) :rule eq_reflexive)
-(step t209 (cl @p_455 @p_453) :rule th_resolution :premises (t207 t208))
-(step t210 (cl @p_456 @p_452 @p_455) :rule th_resolution :premises (t206 t209))
-(step t211 (cl @p_457 @p_458 @p_440 @p_456 @p_455) :rule th_resolution :premises (t205 t210))
-(step t212 (cl) :rule resolution :premises (t211 t116 t156 t193 t202 t204))
 ba9da4ba7350e0a8fc453119da89963e8ee28018 323 0
 unsat
 (assume a1 (! (not (! (=> (! (forall ((?v0 Real_a_fun$) (?v1 B_list$)) (! (= (! (=> (! (and (! (= (! (rec_join$ ?v1) :named @p_3) ?v0) :named @p_68) (! (and (! (=> (! (and (! (= ?v1 nil$) :named @p_4) (! (= uu$ ?v0) :named @p_72)) :named @p_74) false) :named @p_76) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 nil$) :named @p_8)) :named @p_5) (! (= ?v0 (! (coeff_cube_to_path$ ?v2) :named @p_1)) :named @p_82)) :named @p_84) false) :named @p_86)) :named @p_78) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= ?v1 (! (cons$ ?v2 (! (cons$ ?v3 ?v4) :named @p_2)) :named @p_9)) :named @p_6) (! (= ?v0 (! (joinpaths$ @p_1 (! (rec_join$ @p_2) :named @p_95)) :named @p_7)) :named @p_97)) :named @p_99) false) :named @p_101)) :named @p_88)) :named @p_103)) :named @p_105)) :named @p_107) false) :named @p_109) (! (=> (! (and (! (= @p_3 @p_3) :named @p_112) (! (and (! (=> (! (and @p_4 (! (= uu$ @p_3) :named @p_115)) :named @p_117) false) :named @p_119) (! (and (! (forall ((?v2 B$)) (! (=> (! (and @p_5 (! (= @p_3 @p_1) :named @p_125)) :named @p_127) false) :named @p_129)) :named @p_121) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and @p_6 (! (= @p_3 @p_7) :named @p_137)) :named @p_139) false) :named @p_141)) :named @p_131)) :named @p_143)) :named @p_145)) :named @p_147) false) :named @p_149)) :named @p_151)) :named @p_53) (! (= (! (forall ((?v0 B_list$) (?v1 Real_a_fun$)) (! (=> (! (and (! (= (! (rec_join$ ?v0) :named @p_10) ?v1) :named @p_19) (! (and (! (=> (! (and (! (= nil$ ?v0) :named @p_11) (! (= uu$ ?v1) :named @p_20)) :named @p_22) false) :named @p_24) (! (and (! (forall ((?v2 B$)) (! (=> (! (and (! (= @p_8 ?v0) :named @p_17) (! (= @p_1 ?v1) :named @p_27)) :named @p_29) false) :named @p_31)) :named @p_25) (! (forall ((?v2 B$) (?v3 B$) (?v4 B_list$)) (! (=> (! (and (! (= @p_9 ?v0) :named @p_18) (! (= @p_7 ?v1) :named @p_35)) :named @p_37) false) :named @p_39)) :named @p_33)) :named @p_41)) :named @p_43)) :named @p_45) false) :named @p_47)) :named @p_14) (! (forall ((?v0 B_list$)) (! (=> (! (and (! (= @p_10 @p_10) :named @p_15) (! (and (! (=> (! (and @p_11 (! (= uu$ @p_10) :named @p_21)) :named @p_23) false) :named @p_16) (! (and (! (forall ((?v1 B$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 nil$) :named @p_162)) :named @p_163) (! (= @p_10 (! (coeff_cube_to_path$ ?v1) :named @p_12)) :named @p_165)) :named @p_166) false) :named @p_167)) :named @p_161) (! (forall ((?v1 B$) (?v2 B$) (?v3 B_list$)) (! (=> (! (and (! (= ?v0 (! (cons$ ?v1 (! (cons$ ?v2 ?v3) :named @p_13)) :named @p_169)) :named @p_170) (! (= @p_10 (! (joinpaths$ @p_12 (! (rec_join$ @p_13) :named @p_175)) :named @p_176)) :named @p_177)) :named @p_178) false) :named @p_179)) :named @p_168)) :named @p_180)) :named @p_181)) :named @p_182) false) :named @p_183)) :named @p_51)) :named @p_49)) :named @p_52)) :named @p_55))
@@ -7955,550 +7955,6 @@
 (step t65 (cl @p_142 @p_147 @p_148) :rule th_resolution :premises (t63 t64))
 (step t66 (cl @p_150 @p_151 @p_152 @p_153 @p_154 @p_155 @p_141 @p_147 @p_148) :rule th_resolution :premises (t60 t65))
 (step t67 (cl) :rule resolution :premises (t66 t42 a12 a13 a16 t49 t51 t53 t57 t59))
-79bb70ff288db1936aaccee9c58bb4c098292b28 543 0
-unsat
-(define-fun veriT_sk0 () Exp$ (! (choice ((veriT_vr40 Exp$)) (not (! (=> (! (member$ veriT_vr40 (! (myset$ z$) :named @p_199)) :named @p_278) (! (not (! (forall ((veriT_vr41 FreeExp$)) (! (not (! (= veriT_vr40 (! (fun_app$ uu$ veriT_vr41) :named @p_281)) :named @p_282)) :named @p_283)) :named @p_279)) :named @p_284)) :named @p_277))) :named @p_201))
-(define-fun veriT_sk1 () FreeExp_list$ (! (choice ((veriT_vr42 FreeExp_list$)) (! (= z$ (! (map2$ uu$ veriT_vr42) :named @p_286)) :named @p_285)) :named @p_301))
-(define-fun veriT_sk2 () FreeExp$ (! (choice ((veriT_vr48 FreeExp$)) (not (! (not (! (= veriT_sk0 (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ veriT_vr48 bot$) :named @p_356)) :named @p_357)) :named @p_358)) :named @p_359)) :named @p_355))) :named @p_366))
-(assume a0 (! (forall ((?v0 FreeExp$)) (! (= (! (fun_app$ uu$ ?v0) :named @p_3) (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ ?v0 bot$) :named @p_6)) :named @p_8)) :named @p_10)) :named @p_12)) :named @p_2))
-(assume a1 (! (forall ((?v0 FreeExp_list$)) (! (= (! (abs_ExpList$ ?v0) :named @p_1) (! (map2$ uu$ ?v0) :named @p_27)) :named @p_29)) :named @p_24))
-(assume a2 (! (forall ((?v0 Exp$)) (! (=> (! (forall ((?v1 FreeExp$)) (! (=> (! (= ?v0 (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ ?v1 bot$) :named @p_42)) :named @p_44)) :named @p_46)) :named @p_48) false) :named @p_50)) :named @p_40) false) :named @p_52)) :named @p_39))
-(assume a3 (! (forall ((?v0 Exp_list$) (?v1 FreeExp_exp_fun$)) (! (= (! (exists ((?v2 FreeExp_list$)) (! (= ?v0 (! (map2$ ?v1 ?v2) :named @p_74)) :named @p_76)) :named @p_72) (! (forall ((?v2 Exp$)) (! (=> (! (member$ ?v2 (! (myset$ ?v0) :named @p_81)) :named @p_83) (! (exists ((?v3 FreeExp$)) (! (= ?v2 (! (fun_app$ ?v1 ?v3) :named @p_89)) :named @p_91)) :named @p_85)) :named @p_93)) :named @p_78)) :named @p_95)) :named @p_71))
-(assume a4 (! (not (! (exists ((?v0 FreeExp_list$)) (! (= @p_1 z$) :named @p_178)) :named @p_176)) :named @p_180))
-(anchor :step t6 :args ((:= (?v0 FreeExp$) veriT_vr0)))
-(step t6.t1 (cl (! (= ?v0 veriT_vr0) :named @p_5)) :rule refl)
-(step t6.t2 (cl (= @p_3 (! (fun_app$ uu$ veriT_vr0) :named @p_4))) :rule cong :premises (t6.t1))
-(step t6.t3 (cl @p_5) :rule refl)
-(step t6.t4 (cl (= @p_6 (! (insert$ veriT_vr0 bot$) :named @p_7))) :rule cong :premises (t6.t3))
-(step t6.t5 (cl (= @p_8 (! (myImage$ exprel$ @p_7) :named @p_9))) :rule cong :premises (t6.t4))
-(step t6.t6 (cl (= @p_10 (! (abs_Exp$ @p_9) :named @p_11))) :rule cong :premises (t6.t5))
-(step t6.t7 (cl (= @p_12 (! (= @p_4 @p_11) :named @p_13))) :rule cong :premises (t6.t2 t6.t6))
-(step t6 (cl (! (= @p_2 (! (forall ((veriT_vr0 FreeExp$)) @p_13) :named @p_15)) :named @p_14)) :rule bind)
-(step t7 (cl (not @p_14) (not @p_2) @p_15) :rule equiv_pos2)
-(step t8 (cl @p_15) :rule th_resolution :premises (a0 t6 t7))
-(anchor :step t9 :args ((:= (veriT_vr0 FreeExp$) veriT_vr1)))
-(step t9.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_17)) :rule refl)
-(step t9.t2 (cl (= @p_4 (! (fun_app$ uu$ veriT_vr1) :named @p_16))) :rule cong :premises (t9.t1))
-(step t9.t3 (cl @p_17) :rule refl)
-(step t9.t4 (cl (= @p_7 (! (insert$ veriT_vr1 bot$) :named @p_18))) :rule cong :premises (t9.t3))
-(step t9.t5 (cl (= @p_9 (! (myImage$ exprel$ @p_18) :named @p_19))) :rule cong :premises (t9.t4))
-(step t9.t6 (cl (= @p_11 (! (abs_Exp$ @p_19) :named @p_20))) :rule cong :premises (t9.t5))
-(step t9.t7 (cl (= @p_13 (! (= @p_16 @p_20) :named @p_21))) :rule cong :premises (t9.t2 t9.t6))
-(step t9 (cl (! (= @p_15 (! (forall ((veriT_vr1 FreeExp$)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
-(step t10 (cl (not @p_22) (not @p_15) @p_23) :rule equiv_pos2)
-(step t11 (cl @p_23) :rule th_resolution :premises (t8 t9 t10))
-(anchor :step t12 :args ((:= (?v0 FreeExp_list$) veriT_vr2)))
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-(step t12.t2 (cl (= @p_1 (! (abs_ExpList$ veriT_vr2) :named @p_25))) :rule cong :premises (t12.t1))
-(step t12.t3 (cl @p_26) :rule refl)
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-(step t13 (cl (not @p_31) (not @p_24) @p_32) :rule equiv_pos2)
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-(step t15.t3 (cl @p_34) :rule refl)
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-(anchor :step t18.t1 :args ((:= (?v1 FreeExp$) veriT_vr5)))
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-(step t18.t1.t2 (cl (= ?v1 veriT_vr5)) :rule refl)
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-(step t36.t1.t2 (cl (! (= veriT_vr14 veriT_vr22) :named @p_142)) :rule refl)
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-(step t36.t4.t2 (cl @p_137) :rule refl)
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-(step t36.t4.t5.t1 (cl @p_148) :rule refl)
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-(step t36.t5.t3 (cl (= veriT_vr20 veriT_vr23)) :rule refl)
-(step t36.t5.t4 (cl (= @p_126 @p_135)) :rule cong :premises (t36.t5.t2 t36.t5.t3))
-(step t36.t5.t5 (cl (= @p_127 @p_136)) :rule cong :premises (t36.t5.t1 t36.t5.t4))
-(step t36.t5 (cl (= @p_125 @p_134)) :rule bind)
-(step t36.t6 (cl (= @p_129 (! (=> @p_133 @p_134) :named @p_149))) :rule cong :premises (t36.t4 t36.t5))
-(step t36.t7 (cl (= @p_130 (! (and @p_146 @p_149) :named @p_150))) :rule cong :premises (t36.t3 t36.t6))
-(step t36 (cl (! (= @p_132 (! (forall ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)) @p_150) :named @p_152)) :named @p_151)) :rule bind)
-(step t37 (cl (not @p_151) (not @p_132) @p_152) :rule equiv_pos2)
-(step t38 (cl @p_152) :rule th_resolution :premises (t35 t36 t37))
-(anchor :step t39 :args ((:= (veriT_vr21 Exp_list$) veriT_vr21) (:= (veriT_vr22 FreeExp_exp_fun$) veriT_vr22)))
-(anchor :step t39.t1 :args ((:= (veriT_vr24 Exp$) veriT_vr26)))
-(step t39.t1.t1 (cl (! (= veriT_vr24 veriT_vr26) :named @p_156)) :rule refl)
-(step t39.t1.t2 (cl (= @p_139 (! (member$ veriT_vr26 @p_138) :named @p_154))) :rule cong :premises (t39.t1.t1))
-(anchor :step t39.t1.t3 :args ((:= (veriT_vr25 FreeExp$) veriT_vr27)))
-(step t39.t1.t3.t1 (cl @p_156) :rule refl)
-(step t39.t1.t3.t2 (cl (= veriT_vr25 veriT_vr27)) :rule refl)
-(step t39.t1.t3.t3 (cl (= @p_143 (! (fun_app$ veriT_vr22 veriT_vr27) :named @p_157))) :rule cong :premises (t39.t1.t3.t2))
-(step t39.t1.t3.t4 (cl (= @p_144 (! (= veriT_vr26 @p_157) :named @p_158))) :rule cong :premises (t39.t1.t3.t1 t39.t1.t3.t3))
-(step t39.t1.t3 (cl (= @p_140 (! (exists ((veriT_vr27 FreeExp$)) @p_158) :named @p_155))) :rule bind)
-(step t39.t1.t4 (cl (= @p_145 (! (=> @p_154 @p_155) :named @p_159))) :rule cong :premises (t39.t1.t2 t39.t1.t3))
-(step t39.t1 (cl (= @p_133 (! (forall ((veriT_vr26 Exp$)) @p_159) :named @p_153))) :rule bind)
-(anchor :step t39.t2 :args ((:= (veriT_vr23 FreeExp_list$) veriT_vr28)))
-(step t39.t2.t1 (cl (= veriT_vr23 veriT_vr28)) :rule refl)
-(step t39.t2.t2 (cl (= @p_135 (! (map2$ veriT_vr22 veriT_vr28) :named @p_161))) :rule cong :premises (t39.t2.t1))
-(step t39.t2.t3 (cl (= @p_136 (! (= veriT_vr21 @p_161) :named @p_162))) :rule cong :premises (t39.t2.t2))
-(step t39.t2 (cl (= @p_134 (! (exists ((veriT_vr28 FreeExp_list$)) @p_162) :named @p_160))) :rule bind)
-(step t39.t3 (cl (= @p_149 (! (=> @p_153 @p_160) :named @p_163))) :rule cong :premises (t39.t1 t39.t2))
-(step t39.t4 (cl (= @p_150 (! (and @p_146 @p_163) :named @p_164))) :rule cong :premises (t39.t3))
-(step t39 (cl (! (= @p_152 (! (forall ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)) @p_164) :named @p_166)) :named @p_165)) :rule bind)
-(step t40 (cl (not @p_165) (not @p_152) @p_166) :rule equiv_pos2)
-(step t41 (cl @p_166) :rule th_resolution :premises (t38 t39 t40))
-(anchor :step t42 :args ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)))
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-(step t42.t2 (cl (= @p_146 (! (=> @p_167 @p_133) :named @p_168))) :rule cong :premises (t42.t1))
-(anchor :step t42.t3 :args ((veriT_vr26 Exp$)))
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-(step t42.t3.t2 (cl (= @p_159 (! (=> @p_154 @p_170) :named @p_171))) :rule cong :premises (t42.t3.t1))
-(step t42.t3 (cl (= @p_153 (! (forall ((veriT_vr26 Exp$)) @p_171) :named @p_169))) :rule bind)
-(step t42.t4 (cl (= @p_163 (! (=> @p_169 @p_160) :named @p_172))) :rule cong :premises (t42.t3))
-(step t42.t5 (cl (= @p_164 (! (and @p_168 @p_172) :named @p_173))) :rule cong :premises (t42.t2 t42.t4))
-(step t42 (cl (! (= @p_166 (! (forall ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)) @p_173) :named @p_175)) :named @p_174)) :rule bind)
-(step t43 (cl (not @p_174) (not @p_166) @p_175) :rule equiv_pos2)
-(step t44 (cl @p_175) :rule th_resolution :premises (t41 t42 t43))
-(anchor :step t45 :args ((:= (?v0 FreeExp_list$) veriT_vr29)))
-(step t45.t1 (cl (= ?v0 veriT_vr29)) :rule refl)
-(step t45.t2 (cl (= @p_1 (! (abs_ExpList$ veriT_vr29) :named @p_177))) :rule cong :premises (t45.t1))
-(step t45.t3 (cl (= @p_178 (! (= z$ @p_177) :named @p_179))) :rule cong :premises (t45.t2))
-(step t45 (cl (= @p_176 (! (exists ((veriT_vr29 FreeExp_list$)) @p_179) :named @p_181))) :rule bind)
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-(step t47 (cl (! (not @p_182) :named @p_185) (! (not @p_180) :named @p_184) @p_183) :rule equiv_pos2)
-(step t48 (cl (not @p_184) @p_176) :rule not_not)
-(step t49 (cl @p_185 @p_176 @p_183) :rule th_resolution :premises (t48 t47))
-(step t50 (cl @p_183) :rule th_resolution :premises (a4 t46 t49))
-(anchor :step t51 :args ((:= (veriT_vr29 FreeExp_list$) veriT_vr30)))
-(step t51.t1 (cl (= veriT_vr29 veriT_vr30)) :rule refl)
-(step t51.t2 (cl (= @p_177 (! (abs_ExpList$ veriT_vr30) :named @p_186))) :rule cong :premises (t51.t1))
-(step t51.t3 (cl (= @p_179 (! (= z$ @p_186) :named @p_187))) :rule cong :premises (t51.t2))
-(step t51 (cl (= @p_181 (! (exists ((veriT_vr30 FreeExp_list$)) @p_187) :named @p_188))) :rule bind)
-(step t52 (cl (! (= @p_183 (! (not @p_188) :named @p_190)) :named @p_189)) :rule cong :premises (t51))
-(step t53 (cl (! (not @p_189) :named @p_192) (! (not @p_183) :named @p_191) @p_190) :rule equiv_pos2)
-(step t54 (cl (not @p_191) @p_181) :rule not_not)
-(step t55 (cl @p_192 @p_181 @p_190) :rule th_resolution :premises (t54 t53))
-(step t56 (cl @p_190) :rule th_resolution :premises (t50 t52 t55))
-(step t57 (cl (= @p_188 (! (not (! (forall ((veriT_vr30 FreeExp_list$)) (not @p_187)) :named @p_198)) :named @p_193))) :rule connective_def)
-(step t58 (cl (! (= @p_190 (! (not @p_193) :named @p_195)) :named @p_194)) :rule cong :premises (t57))
-(step t59 (cl (! (not @p_194) :named @p_197) (! (not @p_190) :named @p_196) @p_195) :rule equiv_pos2)
-(step t60 (cl (not @p_196) @p_188) :rule not_not)
-(step t61 (cl @p_197 @p_188 @p_195) :rule th_resolution :premises (t60 t59))
-(step t62 (cl (not @p_195) @p_198) :rule not_not)
-(step t63 (cl @p_197 @p_188 @p_198) :rule th_resolution :premises (t62 t61))
-(step t64 (cl @p_195) :rule th_resolution :premises (t56 t58 t63))
-(step t65 (cl @p_198) :rule th_resolution :premises (t62 t64))
-(step t66 (cl (or (! (not @p_175) :named @p_336) (! (and (! (=> (! (not (! (forall ((veriT_vr23 FreeExp_list$)) (! (not (! (= z$ (! (map2$ uu$ veriT_vr23) :named @p_203)) :named @p_205)) :named @p_207)) :named @p_202)) :named @p_209) (! (forall ((veriT_vr24 Exp$)) (! (=> (! (member$ veriT_vr24 @p_199) :named @p_212) (! (exists ((veriT_vr25 FreeExp$)) (! (= veriT_vr24 (! (fun_app$ uu$ veriT_vr25) :named @p_217)) :named @p_219)) :named @p_214)) :named @p_221)) :named @p_211)) :named @p_223) (! (=> (! (forall ((veriT_vr26 Exp$)) (! (=> (! (member$ veriT_vr26 @p_199) :named @p_227) (! (not (! (forall ((veriT_vr27 FreeExp$)) (! (not (! (= veriT_vr26 (! (fun_app$ uu$ veriT_vr27) :named @p_231)) :named @p_232)) :named @p_233)) :named @p_228)) :named @p_235)) :named @p_237)) :named @p_226) (! (exists ((veriT_vr28 FreeExp_list$)) (! (= z$ (! (map2$ uu$ veriT_vr28) :named @p_240)) :named @p_241)) :named @p_239)) :named @p_242)) :named @p_200))) :rule forall_inst :args ((:= veriT_vr21 z$) (:= veriT_vr22 uu$)))
-(anchor :step t67)
-(assume t67.h1 @p_200)
-(anchor :step t67.t2 :args ((:= (veriT_vr23 FreeExp_list$) veriT_vr31)))
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-(step t67.t2.t2 (cl (= @p_203 (! (map2$ uu$ veriT_vr31) :named @p_204))) :rule cong :premises (t67.t2.t1))
-(step t67.t2.t3 (cl (= @p_205 (! (= z$ @p_204) :named @p_206))) :rule cong :premises (t67.t2.t2))
-(step t67.t2.t4 (cl (= @p_207 (! (not @p_206) :named @p_208))) :rule cong :premises (t67.t2.t3))
-(step t67.t2 (cl (= @p_202 (! (forall ((veriT_vr31 FreeExp_list$)) @p_208) :named @p_210))) :rule bind)
-(step t67.t3 (cl (= @p_209 (! (not @p_210) :named @p_224))) :rule cong :premises (t67.t2))
-(anchor :step t67.t4 :args ((:= (veriT_vr24 Exp$) veriT_vr32)))
-(step t67.t4.t1 (cl (! (= veriT_vr24 veriT_vr32) :named @p_216)) :rule refl)
-(step t67.t4.t2 (cl (= @p_212 (! (member$ veriT_vr32 @p_199) :named @p_213))) :rule cong :premises (t67.t4.t1))
-(anchor :step t67.t4.t3 :args ((:= (veriT_vr25 FreeExp$) veriT_vr33)))
-(step t67.t4.t3.t1 (cl @p_216) :rule refl)
-(step t67.t4.t3.t2 (cl (= veriT_vr25 veriT_vr33)) :rule refl)
-(step t67.t4.t3.t3 (cl (= @p_217 (! (fun_app$ uu$ veriT_vr33) :named @p_218))) :rule cong :premises (t67.t4.t3.t2))
-(step t67.t4.t3.t4 (cl (= @p_219 (! (= veriT_vr32 @p_218) :named @p_220))) :rule cong :premises (t67.t4.t3.t1 t67.t4.t3.t3))
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-(anchor :step t67.t6 :args ((:= (veriT_vr26 Exp$) veriT_vr32)))
-(step t67.t6.t1 (cl (! (= veriT_vr26 veriT_vr32) :named @p_230)) :rule refl)
-(step t67.t6.t2 (cl (= @p_227 @p_213)) :rule cong :premises (t67.t6.t1))
-(anchor :step t67.t6.t3 :args ((:= (veriT_vr27 FreeExp$) veriT_vr33)))
-(step t67.t6.t3.t1 (cl @p_230) :rule refl)
-(step t67.t6.t3.t2 (cl (= veriT_vr27 veriT_vr33)) :rule refl)
-(step t67.t6.t3.t3 (cl (= @p_231 @p_218)) :rule cong :premises (t67.t6.t3.t2))
-(step t67.t6.t3.t4 (cl (= @p_232 @p_220)) :rule cong :premises (t67.t6.t3.t1 t67.t6.t3.t3))
-(step t67.t6.t3.t5 (cl (= @p_233 (! (not @p_220) :named @p_234))) :rule cong :premises (t67.t6.t3.t4))
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-(step t67.t6.t5 (cl (= @p_237 (! (=> @p_213 @p_236) :named @p_238))) :rule cong :premises (t67.t6.t2 t67.t6.t4))
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-(anchor :step t67.t7 :args ((:= (veriT_vr28 FreeExp_list$) veriT_vr31)))
-(step t67.t7.t1 (cl (= veriT_vr28 veriT_vr31)) :rule refl)
-(step t67.t7.t2 (cl (= @p_240 @p_204)) :rule cong :premises (t67.t7.t1))
-(step t67.t7.t3 (cl (= @p_241 @p_206)) :rule cong :premises (t67.t7.t2))
-(step t67.t7 (cl (= @p_239 (! (exists ((veriT_vr31 FreeExp_list$)) @p_206) :named @p_244))) :rule bind)
-(step t67.t8 (cl (= @p_242 (! (=> @p_243 @p_244) :named @p_246))) :rule cong :premises (t67.t6 t67.t7))
-(step t67.t9 (cl (! (= @p_200 (! (and @p_245 @p_246) :named @p_249)) :named @p_247)) :rule cong :premises (t67.t5 t67.t8))
-(step t67.t10 (cl (not @p_247) (! (not @p_200) :named @p_248) @p_249) :rule equiv_pos2)
-(step t67.t11 (cl @p_249) :rule th_resolution :premises (t67.h1 t67.t9 t67.t10))
-(anchor :step t67.t12 :args ((:= (veriT_vr32 Exp$) veriT_vr34)))
-(step t67.t12.t1 (cl (! (= veriT_vr32 veriT_vr34) :named @p_252)) :rule refl)
-(step t67.t12.t2 (cl (= @p_213 (! (member$ veriT_vr34 @p_199) :named @p_250))) :rule cong :premises (t67.t12.t1))
-(anchor :step t67.t12.t3 :args ((:= (veriT_vr33 FreeExp$) veriT_vr35)))
-(step t67.t12.t3.t1 (cl @p_252) :rule refl)
-(step t67.t12.t3.t2 (cl (= veriT_vr33 veriT_vr35)) :rule refl)
-(step t67.t12.t3.t3 (cl (= @p_218 (! (fun_app$ uu$ veriT_vr35) :named @p_253))) :rule cong :premises (t67.t12.t3.t2))
-(step t67.t12.t3.t4 (cl (= @p_220 (! (= veriT_vr34 @p_253) :named @p_254))) :rule cong :premises (t67.t12.t3.t1 t67.t12.t3.t3))
-(step t67.t12.t3.t5 (cl (= @p_234 (! (not @p_254) :named @p_255))) :rule cong :premises (t67.t12.t3.t4))
-(step t67.t12.t3 (cl (= @p_229 (! (forall ((veriT_vr35 FreeExp$)) @p_255) :named @p_251))) :rule bind)
-(step t67.t12.t4 (cl (= @p_236 (! (not @p_251) :named @p_256))) :rule cong :premises (t67.t12.t3))
-(step t67.t12.t5 (cl (= @p_238 (! (=> @p_250 @p_256) :named @p_257))) :rule cong :premises (t67.t12.t2 t67.t12.t4))
-(step t67.t12 (cl (= @p_243 (! (forall ((veriT_vr34 Exp$)) @p_257) :named @p_260))) :rule bind)
-(anchor :step t67.t13 :args ((:= (veriT_vr31 FreeExp_list$) veriT_vr36)))
-(step t67.t13.t1 (cl (= veriT_vr31 veriT_vr36)) :rule refl)
-(step t67.t13.t2 (cl (= @p_204 (! (map2$ uu$ veriT_vr36) :named @p_258))) :rule cong :premises (t67.t13.t1))
-(step t67.t13.t3 (cl (= @p_206 (! (= z$ @p_258) :named @p_259))) :rule cong :premises (t67.t13.t2))
-(step t67.t13 (cl (= @p_244 (! (exists ((veriT_vr36 FreeExp_list$)) @p_259) :named @p_261))) :rule bind)
-(step t67.t14 (cl (= @p_246 (! (=> @p_260 @p_261) :named @p_262))) :rule cong :premises (t67.t12 t67.t13))
-(step t67.t15 (cl (! (= @p_249 (! (and @p_245 @p_262) :named @p_264)) :named @p_263)) :rule cong :premises (t67.t14))
-(step t67.t16 (cl (not @p_263) (not @p_249) @p_264) :rule equiv_pos2)
-(step t67.t17 (cl @p_264) :rule th_resolution :premises (t67.t11 t67.t15 t67.t16))
-(anchor :step t67.t18 :args ((:= (veriT_vr31 FreeExp_list$) veriT_vr37)))
-(step t67.t18.t1 (cl (= veriT_vr31 veriT_vr37)) :rule refl)
-(step t67.t18.t2 (cl (= @p_204 (! (map2$ uu$ veriT_vr37) :named @p_265))) :rule cong :premises (t67.t18.t1))
-(step t67.t18.t3 (cl (= @p_206 (! (= z$ @p_265) :named @p_266))) :rule cong :premises (t67.t18.t2))
-(step t67.t18.t4 (cl (= @p_208 (! (not @p_266) :named @p_267))) :rule cong :premises (t67.t18.t3))
-(step t67.t18 (cl (= @p_210 (! (forall ((veriT_vr37 FreeExp_list$)) @p_267) :named @p_268))) :rule bind)
-(step t67.t19 (cl (= @p_224 (! (not @p_268) :named @p_275))) :rule cong :premises (t67.t18))
-(anchor :step t67.t20 :args ((:= (veriT_vr32 Exp$) veriT_vr38)))
-(step t67.t20.t1 (cl (! (= veriT_vr32 veriT_vr38) :named @p_271)) :rule refl)
-(step t67.t20.t2 (cl (= @p_213 (! (member$ veriT_vr38 @p_199) :named @p_269))) :rule cong :premises (t67.t20.t1))
-(anchor :step t67.t20.t3 :args ((:= (veriT_vr33 FreeExp$) veriT_vr39)))
-(step t67.t20.t3.t1 (cl @p_271) :rule refl)
-(step t67.t20.t3.t2 (cl (= veriT_vr33 veriT_vr39)) :rule refl)
-(step t67.t20.t3.t3 (cl (= @p_218 (! (fun_app$ uu$ veriT_vr39) :named @p_272))) :rule cong :premises (t67.t20.t3.t2))
-(step t67.t20.t3.t4 (cl (= @p_220 (! (= veriT_vr38 @p_272) :named @p_273))) :rule cong :premises (t67.t20.t3.t1 t67.t20.t3.t3))
-(step t67.t20.t3 (cl (= @p_215 (! (exists ((veriT_vr39 FreeExp$)) @p_273) :named @p_270))) :rule bind)
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-(step t67.t20 (cl (= @p_225 (! (forall ((veriT_vr38 Exp$)) @p_274) :named @p_276))) :rule bind)
-(step t67.t21 (cl (= @p_245 (! (=> @p_275 @p_276) :named @p_289))) :rule cong :premises (t67.t19 t67.t20))
-(anchor :step t67.t22 :args ((:= (veriT_vr34 Exp$) veriT_vr40)))
-(step t67.t22.t1 (cl (! (= veriT_vr34 veriT_vr40) :named @p_280)) :rule refl)
-(step t67.t22.t2 (cl (= @p_250 @p_278)) :rule cong :premises (t67.t22.t1))
-(anchor :step t67.t22.t3 :args ((:= (veriT_vr35 FreeExp$) veriT_vr41)))
-(step t67.t22.t3.t1 (cl @p_280) :rule refl)
-(step t67.t22.t3.t2 (cl (= veriT_vr35 veriT_vr41)) :rule refl)
-(step t67.t22.t3.t3 (cl (= @p_253 @p_281)) :rule cong :premises (t67.t22.t3.t2))
-(step t67.t22.t3.t4 (cl (= @p_254 @p_282)) :rule cong :premises (t67.t22.t3.t1 t67.t22.t3.t3))
-(step t67.t22.t3.t5 (cl (= @p_255 @p_283)) :rule cong :premises (t67.t22.t3.t4))
-(step t67.t22.t3 (cl (= @p_251 @p_279)) :rule bind)
-(step t67.t22.t4 (cl (= @p_256 @p_284)) :rule cong :premises (t67.t22.t3))
-(step t67.t22.t5 (cl (= @p_257 @p_277)) :rule cong :premises (t67.t22.t2 t67.t22.t4))
-(step t67.t22 (cl (= @p_260 (! (forall ((veriT_vr40 Exp$)) @p_277) :named @p_287))) :rule bind)
-(anchor :step t67.t23 :args ((:= (veriT_vr36 FreeExp_list$) veriT_vr42)))
-(step t67.t23.t1 (cl (= veriT_vr36 veriT_vr42)) :rule refl)
-(step t67.t23.t2 (cl (= @p_258 @p_286)) :rule cong :premises (t67.t23.t1))
-(step t67.t23.t3 (cl (= @p_259 @p_285)) :rule cong :premises (t67.t23.t2))
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-(step t78 (cl @p_340 @p_333) :rule and_pos)
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-(anchor :step t83)
-(assume t83.h1 @p_341)
-(anchor :step t83.t2 :args ((:= (veriT_vr7 FreeExp$) veriT_vr47)))
-(step t83.t2.t1 (cl (= veriT_vr7 veriT_vr47)) :rule refl)
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-(step t83.t2.t3 (cl (= @p_64 (! (myImage$ exprel$ @p_343) :named @p_344))) :rule cong :premises (t83.t2.t2))
-(step t83.t2.t4 (cl (= @p_65 (! (abs_Exp$ @p_344) :named @p_345))) :rule cong :premises (t83.t2.t3))
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-(step t83.t6 (cl @p_354 @p_342 @p_353) :rule th_resolution :premises (t83.t5 t83.t4))
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-(anchor :step t83.t8 :args ((:= (veriT_vr47 FreeExp$) veriT_vr48)))
-(step t83.t8.t1 (cl (= veriT_vr47 veriT_vr48)) :rule refl)
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-(step t83.t8.t3 (cl (= @p_344 @p_357)) :rule cong :premises (t83.t8.t2))
-(step t83.t8.t4 (cl (= @p_345 @p_358)) :rule cong :premises (t83.t8.t3))
-(step t83.t8.t5 (cl (= @p_347 @p_359)) :rule cong :premises (t83.t8.t4))
-(step t83.t8.t6 (cl (= @p_349 @p_355)) :rule cong :premises (t83.t8.t5))
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-(step t83.t11 (cl (not @p_363) @p_350) :rule not_not)
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-(anchor :step t83.t14 :args ((:= (veriT_vr48 FreeExp$) veriT_sk2)))
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-(step t83.t14.t3 (cl (= @p_357 (! (myImage$ exprel$ @p_367) :named @p_368))) :rule cong :premises (t83.t14.t2))
-(step t83.t14.t4 (cl (= @p_358 (! (abs_Exp$ @p_368) :named @p_369))) :rule cong :premises (t83.t14.t3))
-(step t83.t14.t5 (cl (= @p_359 (! (= veriT_sk0 @p_369) :named @p_365))) :rule cong :premises (t83.t14.t4))
-(step t83.t14.t6 (cl (= @p_355 (! (not @p_365) :named @p_370))) :rule cong :premises (t83.t14.t5))
-(step t83.t14 (cl (= @p_360 @p_370)) :rule sko_forall)
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-(step t83.t17 (cl (not @p_373) @p_360) :rule not_not)
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-(step t83.t19 (cl (! (not @p_372) :named @p_375) @p_365) :rule not_not)
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-(step t83.t22 (cl @p_375 @p_365) :rule not_not)
-(step t83.t23 (cl @p_365) :rule th_resolution :premises (t83.t22 t83.t21))
-(step t83.t24 (cl (= @p_372 @p_365)) :rule not_simplify)
-(step t83.t25 (cl @p_365) :rule th_resolution :premises (t83.t23 t83.t24))
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-(step t86 (cl @p_377 @p_341) :rule or :premises (t82))
-(step t87 (cl (! (or @p_377 @p_365) :named @p_379) (! (not @p_377) :named @p_378)) :rule or_neg)
-(step t88 (cl (not @p_378) @p_70) :rule not_not)
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-(step t90 (cl @p_379 @p_370) :rule or_neg)
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-(step t92 (cl @p_377 @p_365) :rule or :premises (t91))
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-(step t95 (cl (or @p_193 (! (not (! (= z$ (! (abs_ExpList$ veriT_sk1) :named @p_380)) :named @p_389)) :named @p_383))) :rule forall_inst :args ((:= veriT_vr30 veriT_sk1)))
-(step t96 (cl (or (! (not @p_38) :named @p_384) (! (= @p_302 @p_380) :named @p_385))) :rule forall_inst :args ((:= veriT_vr3 veriT_sk1)))
-(step t97 (cl (or (! (not @p_23) :named @p_386) (! (= @p_369 @p_381) :named @p_387))) :rule forall_inst :args ((:= veriT_vr1 veriT_sk2)))
-(step t98 (cl @p_331 @p_382) :rule or :premises (t94))
-(step t99 (cl @p_193 @p_383) :rule or :premises (t95))
-(step t100 (cl @p_383) :rule resolution :premises (t99 t65))
-(step t101 (cl @p_384 @p_385) :rule or :premises (t96))
-(step t102 (cl @p_385) :rule resolution :premises (t101 t17))
-(step t103 (cl @p_386 @p_387) :rule or :premises (t97))
-(step t104 (cl @p_387) :rule resolution :premises (t103 t11))
-(step t105 (cl (! (= z$ z$) :named @p_388)) :rule eq_reflexive)
-(step t106 (cl (not @p_388) (! (not @p_300) :named @p_390) (! (not @p_385) :named @p_391) @p_389) :rule eq_transitive)
-(step t107 (cl @p_390 @p_391 @p_389) :rule th_resolution :premises (t106 t105))
-(step t108 (cl @p_390) :rule resolution :premises (t107 t100 t102))
-(step t109 (cl @p_370 (not @p_387) @p_392) :rule eq_transitive)
-(step t110 (cl @p_392) :rule resolution :premises (t109 t93 t104))
-(step t111 (cl @p_393) :rule resolution :premises (t77 t108 t81))
-(step t112 (cl @p_331) :rule resolution :premises (t98 t110))
-(step t113 (cl) :rule resolution :premises (t76 t111 t112))
 40b27e0a4a8779ad293f698e9d6f54d1b11a66ce 3015 0
 unsat
 (define-fun veriT_sk0 () A_b_c_M_state_fun$ (! (choice ((veriT_vr57 A_b_c_M_state_fun$)) (not (forall ((veriT_vr58 A_b_c_M_state_fun$)) (! (=> (! (forall ((veriT_vr59 A$) (veriT_vr60 C$)) (! (or (! (is_fail$ (! (run$ (! (fun_app$ veriT_vr57 veriT_vr59) :named @p_552) veriT_vr60) :named @p_544)) :named @p_542) (! (and (! (= (! (is_fail$ (! (run$ (! (fun_app$ veriT_vr58 veriT_vr59) :named @p_554) veriT_vr60) :named @p_543)) :named @p_556) @p_542) :named @p_561) (! (forall ((veriT_vr61 B$) (veriT_vr62 C$)) (! (= (! (is_res$ @p_543 (! (pair$ veriT_vr61 veriT_vr62) :named @p_545)) :named @p_566) (! (is_res$ @p_544 @p_545) :named @p_570)) :named @p_571)) :named @p_562)) :named @p_572)) :named @p_573)) :named @p_551) (! (forall ((veriT_vr63 D$)) (! (or (! (is_fail$a (! (run$a (! (b$ veriT_vr57) :named @p_575) veriT_vr63) :named @p_546)) :named @p_548) (! (exists ((veriT_vr64 E$) (veriT_vr65 D$)) (! (and (! (is_res$a @p_546 (! (pair$a veriT_vr64 veriT_vr65) :named @p_580)) :named @p_581) (! (is_fail$b (! (run$b (! (c$ veriT_vr64 veriT_vr57) :named @p_583) veriT_vr65) :named @p_585)) :named @p_586)) :named @p_587)) :named @p_576) (! (and (! (and (! (=> (! (or (! (is_fail$a (! (run$a (! (b$ veriT_vr58) :named @p_588) veriT_vr63) :named @p_547)) :named @p_549) (! (exists ((veriT_vr66 E$) (veriT_vr67 D$)) (! (and (! (is_res$a @p_547 (! (pair$a veriT_vr66 veriT_vr67) :named @p_592)) :named @p_593) (! (is_fail$b (! (run$b (! (c$ veriT_vr66 veriT_vr58) :named @p_595) veriT_vr67) :named @p_597)) :named @p_598)) :named @p_599)) :named @p_589)) :named @p_600) (! (or @p_548 (! (exists ((veriT_vr68 E$) (veriT_vr69 D$)) (! (and (! (is_res$a @p_546 (! (pair$a veriT_vr68 veriT_vr69) :named @p_603)) :named @p_604) (! (is_fail$b (! (run$b (! (c$ veriT_vr68 veriT_vr57) :named @p_606) veriT_vr69) :named @p_608)) :named @p_609)) :named @p_610)) :named @p_602)) :named @p_611)) :named @p_613) (! (=> (! (or @p_548 (! (exists ((veriT_vr70 E$) (veriT_vr71 D$)) (! (and (! (is_res$a @p_546 (! (pair$a veriT_vr70 veriT_vr71) :named @p_615)) :named @p_616) (! (is_fail$b (! (run$b (! (c$ veriT_vr70 veriT_vr57) :named @p_618) veriT_vr71) :named @p_620)) :named @p_621)) :named @p_622)) :named @p_614)) :named @p_623) (! (or @p_549 (! (exists ((veriT_vr72 E$) (veriT_vr73 D$)) (! (and (! (is_res$a @p_547 (! (pair$a veriT_vr72 veriT_vr73) :named @p_626)) :named @p_627) (! (is_fail$b (! (run$b (! (c$ veriT_vr72 veriT_vr58) :named @p_629) veriT_vr73) :named @p_631)) :named @p_632)) :named @p_633)) :named @p_625)) :named @p_634)) :named @p_636)) :named @p_637) (! (forall ((veriT_vr74 F$) (veriT_vr75 D$)) (! (and (! (=> (! (or @p_549 (! (exists ((veriT_vr76 E$) (veriT_vr77 D$)) (! (and (! (is_res$a @p_547 (! (pair$a veriT_vr76 veriT_vr77) :named @p_640)) :named @p_641) (! (is_res$b (! (run$b (! (c$ veriT_vr76 veriT_vr58) :named @p_643) veriT_vr77) :named @p_645) (! (pair$b veriT_vr74 veriT_vr75) :named @p_550)) :named @p_646)) :named @p_647)) :named @p_639)) :named @p_648) (! (or @p_548 (! (exists ((veriT_vr78 E$) (veriT_vr79 D$)) (! (and (! (is_res$a @p_546 (! (pair$a veriT_vr78 veriT_vr79) :named @p_650)) :named @p_651) (! (is_res$b (! (run$b (! (c$ veriT_vr78 veriT_vr57) :named @p_653) veriT_vr79) :named @p_655) @p_550) :named @p_659)) :named @p_660)) :named @p_649)) :named @p_661)) :named @p_663) (! (=> (! (or @p_548 (! (exists ((veriT_vr80 E$) (veriT_vr81 D$)) (! (and (! (is_res$a @p_546 (! (pair$a veriT_vr80 veriT_vr81) :named @p_665)) :named @p_666) (! (is_res$b (! (run$b (! (c$ veriT_vr80 veriT_vr57) :named @p_668) veriT_vr81) :named @p_670) @p_550) :named @p_671)) :named @p_672)) :named @p_664)) :named @p_673) (! (or @p_549 (! (exists ((veriT_vr82 E$) (veriT_vr83 D$)) (! (and (! (is_res$a @p_547 (! (pair$a veriT_vr82 veriT_vr83) :named @p_675)) :named @p_676) (! (is_res$b (! (run$b (! (c$ veriT_vr82 veriT_vr58) :named @p_678) veriT_vr83) :named @p_680) @p_550) :named @p_681)) :named @p_682)) :named @p_674)) :named @p_683)) :named @p_685)) :named @p_686)) :named @p_638)) :named @p_687)) :named @p_688)) :named @p_574)) :named @p_689)))) :named @p_696))
@@ -11515,6 +10971,1852 @@
 (step t468 (cl @p_1652) :rule resolution :premises (t321 t467 t463))
 (step t469 (cl @p_1700) :rule resolution :premises (t264 t468 t467))
 (step t470 (cl) :rule resolution :premises (t328 t468 t463 t330 t469))
+79bb70ff288db1936aaccee9c58bb4c098292b28 543 0
+unsat
+(define-fun veriT_sk0 () Exp$ (! (choice ((veriT_vr40 Exp$)) (not (! (=> (! (member$ veriT_vr40 (! (myset$ z$) :named @p_199)) :named @p_278) (! (not (! (forall ((veriT_vr41 FreeExp$)) (! (not (! (= veriT_vr40 (! (fun_app$ uu$ veriT_vr41) :named @p_281)) :named @p_282)) :named @p_283)) :named @p_279)) :named @p_284)) :named @p_277))) :named @p_201))
+(define-fun veriT_sk1 () FreeExp_list$ (! (choice ((veriT_vr42 FreeExp_list$)) (! (= z$ (! (map2$ uu$ veriT_vr42) :named @p_286)) :named @p_285)) :named @p_301))
+(define-fun veriT_sk2 () FreeExp$ (! (choice ((veriT_vr48 FreeExp$)) (not (! (not (! (= veriT_sk0 (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ veriT_vr48 bot$) :named @p_356)) :named @p_357)) :named @p_358)) :named @p_359)) :named @p_355))) :named @p_366))
+(assume a0 (! (forall ((?v0 FreeExp$)) (! (= (! (fun_app$ uu$ ?v0) :named @p_3) (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ ?v0 bot$) :named @p_6)) :named @p_8)) :named @p_10)) :named @p_12)) :named @p_2))
+(assume a1 (! (forall ((?v0 FreeExp_list$)) (! (= (! (abs_ExpList$ ?v0) :named @p_1) (! (map2$ uu$ ?v0) :named @p_27)) :named @p_29)) :named @p_24))
+(assume a2 (! (forall ((?v0 Exp$)) (! (=> (! (forall ((?v1 FreeExp$)) (! (=> (! (= ?v0 (! (abs_Exp$ (! (myImage$ exprel$ (! (insert$ ?v1 bot$) :named @p_42)) :named @p_44)) :named @p_46)) :named @p_48) false) :named @p_50)) :named @p_40) false) :named @p_52)) :named @p_39))
+(assume a3 (! (forall ((?v0 Exp_list$) (?v1 FreeExp_exp_fun$)) (! (= (! (exists ((?v2 FreeExp_list$)) (! (= ?v0 (! (map2$ ?v1 ?v2) :named @p_74)) :named @p_76)) :named @p_72) (! (forall ((?v2 Exp$)) (! (=> (! (member$ ?v2 (! (myset$ ?v0) :named @p_81)) :named @p_83) (! (exists ((?v3 FreeExp$)) (! (= ?v2 (! (fun_app$ ?v1 ?v3) :named @p_89)) :named @p_91)) :named @p_85)) :named @p_93)) :named @p_78)) :named @p_95)) :named @p_71))
+(assume a4 (! (not (! (exists ((?v0 FreeExp_list$)) (! (= @p_1 z$) :named @p_178)) :named @p_176)) :named @p_180))
+(anchor :step t6 :args ((:= (?v0 FreeExp$) veriT_vr0)))
+(step t6.t1 (cl (! (= ?v0 veriT_vr0) :named @p_5)) :rule refl)
+(step t6.t2 (cl (= @p_3 (! (fun_app$ uu$ veriT_vr0) :named @p_4))) :rule cong :premises (t6.t1))
+(step t6.t3 (cl @p_5) :rule refl)
+(step t6.t4 (cl (= @p_6 (! (insert$ veriT_vr0 bot$) :named @p_7))) :rule cong :premises (t6.t3))
+(step t6.t5 (cl (= @p_8 (! (myImage$ exprel$ @p_7) :named @p_9))) :rule cong :premises (t6.t4))
+(step t6.t6 (cl (= @p_10 (! (abs_Exp$ @p_9) :named @p_11))) :rule cong :premises (t6.t5))
+(step t6.t7 (cl (= @p_12 (! (= @p_4 @p_11) :named @p_13))) :rule cong :premises (t6.t2 t6.t6))
+(step t6 (cl (! (= @p_2 (! (forall ((veriT_vr0 FreeExp$)) @p_13) :named @p_15)) :named @p_14)) :rule bind)
+(step t7 (cl (not @p_14) (not @p_2) @p_15) :rule equiv_pos2)
+(step t8 (cl @p_15) :rule th_resolution :premises (a0 t6 t7))
+(anchor :step t9 :args ((:= (veriT_vr0 FreeExp$) veriT_vr1)))
+(step t9.t1 (cl (! (= veriT_vr0 veriT_vr1) :named @p_17)) :rule refl)
+(step t9.t2 (cl (= @p_4 (! (fun_app$ uu$ veriT_vr1) :named @p_16))) :rule cong :premises (t9.t1))
+(step t9.t3 (cl @p_17) :rule refl)
+(step t9.t4 (cl (= @p_7 (! (insert$ veriT_vr1 bot$) :named @p_18))) :rule cong :premises (t9.t3))
+(step t9.t5 (cl (= @p_9 (! (myImage$ exprel$ @p_18) :named @p_19))) :rule cong :premises (t9.t4))
+(step t9.t6 (cl (= @p_11 (! (abs_Exp$ @p_19) :named @p_20))) :rule cong :premises (t9.t5))
+(step t9.t7 (cl (= @p_13 (! (= @p_16 @p_20) :named @p_21))) :rule cong :premises (t9.t2 t9.t6))
+(step t9 (cl (! (= @p_15 (! (forall ((veriT_vr1 FreeExp$)) @p_21) :named @p_23)) :named @p_22)) :rule bind)
+(step t10 (cl (not @p_22) (not @p_15) @p_23) :rule equiv_pos2)
+(step t11 (cl @p_23) :rule th_resolution :premises (t8 t9 t10))
+(anchor :step t12 :args ((:= (?v0 FreeExp_list$) veriT_vr2)))
+(step t12.t1 (cl (! (= ?v0 veriT_vr2) :named @p_26)) :rule refl)
+(step t12.t2 (cl (= @p_1 (! (abs_ExpList$ veriT_vr2) :named @p_25))) :rule cong :premises (t12.t1))
+(step t12.t3 (cl @p_26) :rule refl)
+(step t12.t4 (cl (= @p_27 (! (map2$ uu$ veriT_vr2) :named @p_28))) :rule cong :premises (t12.t3))
+(step t12.t5 (cl (= @p_29 (! (= @p_25 @p_28) :named @p_30))) :rule cong :premises (t12.t2 t12.t4))
+(step t12 (cl (! (= @p_24 (! (forall ((veriT_vr2 FreeExp_list$)) @p_30) :named @p_32)) :named @p_31)) :rule bind)
+(step t13 (cl (not @p_31) (not @p_24) @p_32) :rule equiv_pos2)
+(step t14 (cl @p_32) :rule th_resolution :premises (a1 t12 t13))
+(anchor :step t15 :args ((:= (veriT_vr2 FreeExp_list$) veriT_vr3)))
+(step t15.t1 (cl (! (= veriT_vr2 veriT_vr3) :named @p_34)) :rule refl)
+(step t15.t2 (cl (= @p_25 (! (abs_ExpList$ veriT_vr3) :named @p_33))) :rule cong :premises (t15.t1))
+(step t15.t3 (cl @p_34) :rule refl)
+(step t15.t4 (cl (= @p_28 (! (map2$ uu$ veriT_vr3) :named @p_35))) :rule cong :premises (t15.t3))
+(step t15.t5 (cl (= @p_30 (! (= @p_33 @p_35) :named @p_36))) :rule cong :premises (t15.t2 t15.t4))
+(step t15 (cl (! (= @p_32 (! (forall ((veriT_vr3 FreeExp_list$)) @p_36) :named @p_38)) :named @p_37)) :rule bind)
+(step t16 (cl (not @p_37) (not @p_32) @p_38) :rule equiv_pos2)
+(step t17 (cl @p_38) :rule th_resolution :premises (t14 t15 t16))
+(anchor :step t18 :args ((:= (?v0 Exp$) veriT_vr4)))
+(anchor :step t18.t1 :args ((:= (?v1 FreeExp$) veriT_vr5)))
+(step t18.t1.t1 (cl (= ?v0 veriT_vr4)) :rule refl)
+(step t18.t1.t2 (cl (= ?v1 veriT_vr5)) :rule refl)
+(step t18.t1.t3 (cl (= @p_42 (! (insert$ veriT_vr5 bot$) :named @p_43))) :rule cong :premises (t18.t1.t2))
+(step t18.t1.t4 (cl (= @p_44 (! (myImage$ exprel$ @p_43) :named @p_45))) :rule cong :premises (t18.t1.t3))
+(step t18.t1.t5 (cl (= @p_46 (! (abs_Exp$ @p_45) :named @p_47))) :rule cong :premises (t18.t1.t4))
+(step t18.t1.t6 (cl (= @p_48 (! (= veriT_vr4 @p_47) :named @p_49))) :rule cong :premises (t18.t1.t1 t18.t1.t5))
+(step t18.t1.t7 (cl (= @p_50 (! (=> @p_49 false) :named @p_51))) :rule cong :premises (t18.t1.t6))
+(step t18.t1 (cl (= @p_40 (! (forall ((veriT_vr5 FreeExp$)) @p_51) :named @p_41))) :rule bind)
+(step t18.t2 (cl (= @p_52 (! (=> @p_41 false) :named @p_53))) :rule cong :premises (t18.t1))
+(step t18 (cl (! (= @p_39 (! (forall ((veriT_vr4 Exp$)) @p_53) :named @p_55)) :named @p_54)) :rule bind)
+(step t19 (cl (not @p_54) (not @p_39) @p_55) :rule equiv_pos2)
+(step t20 (cl @p_55) :rule th_resolution :premises (a2 t18 t19))
+(anchor :step t21 :args ((veriT_vr4 Exp$)))
+(anchor :step t21.t1 :args ((veriT_vr5 FreeExp$)))
+(step t21.t1.t1 (cl (= @p_51 (! (not @p_49) :named @p_57))) :rule implies_simplify)
+(step t21.t1 (cl (= @p_41 (! (forall ((veriT_vr5 FreeExp$)) @p_57) :named @p_56))) :rule bind)
+(step t21.t2 (cl (= @p_53 (! (=> @p_56 false) :named @p_58))) :rule cong :premises (t21.t1))
+(step t21.t3 (cl (= @p_58 (! (not @p_56) :named @p_59))) :rule implies_simplify)
+(step t21.t4 (cl (= @p_53 @p_59)) :rule trans :premises (t21.t2 t21.t3))
+(step t21 (cl (! (= @p_55 (! (forall ((veriT_vr4 Exp$)) @p_59) :named @p_61)) :named @p_60)) :rule bind)
+(step t22 (cl (not @p_60) (not @p_55) @p_61) :rule equiv_pos2)
+(step t23 (cl @p_61) :rule th_resolution :premises (t20 t21 t22))
+(anchor :step t24 :args ((:= (veriT_vr4 Exp$) veriT_vr6)))
+(anchor :step t24.t1 :args ((:= (veriT_vr5 FreeExp$) veriT_vr7)))
+(step t24.t1.t1 (cl (= veriT_vr4 veriT_vr6)) :rule refl)
+(step t24.t1.t2 (cl (= veriT_vr5 veriT_vr7)) :rule refl)
+(step t24.t1.t3 (cl (= @p_43 (! (insert$ veriT_vr7 bot$) :named @p_63))) :rule cong :premises (t24.t1.t2))
+(step t24.t1.t4 (cl (= @p_45 (! (myImage$ exprel$ @p_63) :named @p_64))) :rule cong :premises (t24.t1.t3))
+(step t24.t1.t5 (cl (= @p_47 (! (abs_Exp$ @p_64) :named @p_65))) :rule cong :premises (t24.t1.t4))
+(step t24.t1.t6 (cl (= @p_49 (! (= veriT_vr6 @p_65) :named @p_66))) :rule cong :premises (t24.t1.t1 t24.t1.t5))
+(step t24.t1.t7 (cl (= @p_57 (! (not @p_66) :named @p_67))) :rule cong :premises (t24.t1.t6))
+(step t24.t1 (cl (= @p_56 (! (forall ((veriT_vr7 FreeExp$)) @p_67) :named @p_62))) :rule bind)
+(step t24.t2 (cl (= @p_59 (! (not @p_62) :named @p_68))) :rule cong :premises (t24.t1))
+(step t24 (cl (! (= @p_61 (! (forall ((veriT_vr6 Exp$)) @p_68) :named @p_70)) :named @p_69)) :rule bind)
+(step t25 (cl (not @p_69) (not @p_61) @p_70) :rule equiv_pos2)
+(step t26 (cl @p_70) :rule th_resolution :premises (t23 t24 t25))
+(anchor :step t27 :args ((:= (?v0 Exp_list$) veriT_vr8) (:= (?v1 FreeExp_exp_fun$) veriT_vr9)))
+(anchor :step t27.t1 :args ((:= (?v2 FreeExp_list$) veriT_vr10)))
+(step t27.t1.t1 (cl (! (= ?v0 veriT_vr8) :named @p_80)) :rule refl)
+(step t27.t1.t2 (cl (! (= ?v1 veriT_vr9) :named @p_88)) :rule refl)
+(step t27.t1.t3 (cl (= ?v2 veriT_vr10)) :rule refl)
+(step t27.t1.t4 (cl (= @p_74 (! (map2$ veriT_vr9 veriT_vr10) :named @p_75))) :rule cong :premises (t27.t1.t2 t27.t1.t3))
+(step t27.t1.t5 (cl (= @p_76 (! (= veriT_vr8 @p_75) :named @p_77))) :rule cong :premises (t27.t1.t1 t27.t1.t4))
+(step t27.t1 (cl (= @p_72 (! (exists ((veriT_vr10 FreeExp_list$)) @p_77) :named @p_73))) :rule bind)
+(anchor :step t27.t2 :args ((:= (?v2 Exp$) veriT_vr11)))
+(step t27.t2.t1 (cl (! (= ?v2 veriT_vr11) :named @p_87)) :rule refl)
+(step t27.t2.t2 (cl @p_80) :rule refl)
+(step t27.t2.t3 (cl (= @p_81 (! (myset$ veriT_vr8) :named @p_82))) :rule cong :premises (t27.t2.t2))
+(step t27.t2.t4 (cl (= @p_83 (! (member$ veriT_vr11 @p_82) :named @p_84))) :rule cong :premises (t27.t2.t1 t27.t2.t3))
+(anchor :step t27.t2.t5 :args ((:= (?v3 FreeExp$) veriT_vr12)))
+(step t27.t2.t5.t1 (cl @p_87) :rule refl)
+(step t27.t2.t5.t2 (cl @p_88) :rule refl)
+(step t27.t2.t5.t3 (cl (= ?v3 veriT_vr12)) :rule refl)
+(step t27.t2.t5.t4 (cl (= @p_89 (! (fun_app$ veriT_vr9 veriT_vr12) :named @p_90))) :rule cong :premises (t27.t2.t5.t2 t27.t2.t5.t3))
+(step t27.t2.t5.t5 (cl (= @p_91 (! (= veriT_vr11 @p_90) :named @p_92))) :rule cong :premises (t27.t2.t5.t1 t27.t2.t5.t4))
+(step t27.t2.t5 (cl (= @p_85 (! (exists ((veriT_vr12 FreeExp$)) @p_92) :named @p_86))) :rule bind)
+(step t27.t2.t6 (cl (= @p_93 (! (=> @p_84 @p_86) :named @p_94))) :rule cong :premises (t27.t2.t4 t27.t2.t5))
+(step t27.t2 (cl (= @p_78 (! (forall ((veriT_vr11 Exp$)) @p_94) :named @p_79))) :rule bind)
+(step t27.t3 (cl (= @p_95 (! (= @p_73 @p_79) :named @p_96))) :rule cong :premises (t27.t1 t27.t2))
+(step t27 (cl (! (= @p_71 (! (forall ((veriT_vr8 Exp_list$) (veriT_vr9 FreeExp_exp_fun$)) @p_96) :named @p_98)) :named @p_97)) :rule bind)
+(step t28 (cl (not @p_97) (not @p_71) @p_98) :rule equiv_pos2)
+(step t29 (cl @p_98) :rule th_resolution :premises (a3 t27 t28))
+(anchor :step t30 :args ((veriT_vr8 Exp_list$) (veriT_vr9 FreeExp_exp_fun$)))
+(step t30.t1 (cl (= @p_96 (! (and (! (=> @p_73 @p_79) :named @p_115) (! (=> @p_79 @p_73) :named @p_128)) :named @p_99))) :rule connective_def)
+(step t30 (cl (! (= @p_98 (! (forall ((veriT_vr8 Exp_list$) (veriT_vr9 FreeExp_exp_fun$)) @p_99) :named @p_101)) :named @p_100)) :rule bind)
+(step t31 (cl (not @p_100) (not @p_98) @p_101) :rule equiv_pos2)
+(step t32 (cl @p_101) :rule th_resolution :premises (t29 t30 t31))
+(anchor :step t33 :args ((:= (veriT_vr8 Exp_list$) veriT_vr13) (:= (veriT_vr9 FreeExp_exp_fun$) veriT_vr14)))
+(anchor :step t33.t1 :args ((:= (veriT_vr10 FreeExp_list$) veriT_vr15)))
+(step t33.t1.t1 (cl (! (= veriT_vr8 veriT_vr13) :named @p_107)) :rule refl)
+(step t33.t1.t2 (cl (! (= veriT_vr9 veriT_vr14) :named @p_111)) :rule refl)
+(step t33.t1.t3 (cl (= veriT_vr10 veriT_vr15)) :rule refl)
+(step t33.t1.t4 (cl (= @p_75 (! (map2$ veriT_vr14 veriT_vr15) :named @p_104))) :rule cong :premises (t33.t1.t2 t33.t1.t3))
+(step t33.t1.t5 (cl (= @p_77 (! (= veriT_vr13 @p_104) :named @p_105))) :rule cong :premises (t33.t1.t1 t33.t1.t4))
+(step t33.t1 (cl (= @p_73 (! (exists ((veriT_vr15 FreeExp_list$)) @p_105) :named @p_103))) :rule bind)
+(anchor :step t33.t2 :args ((:= (veriT_vr11 Exp$) veriT_vr16)))
+(step t33.t2.t1 (cl (! (= veriT_vr11 veriT_vr16) :named @p_110)) :rule refl)
+(step t33.t2.t2 (cl @p_107) :rule refl)
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+(anchor :step t36.t2.t5 :args ((:= (veriT_vr17 FreeExp$) veriT_vr25)))
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+(anchor :step t39.t1 :args ((:= (veriT_vr24 Exp$) veriT_vr26)))
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+(step t39.t2.t3 (cl (= @p_136 (! (= veriT_vr21 @p_161) :named @p_162))) :rule cong :premises (t39.t2.t2))
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+(step t39.t4 (cl (= @p_150 (! (and @p_146 @p_163) :named @p_164))) :rule cong :premises (t39.t3))
+(step t39 (cl (! (= @p_152 (! (forall ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)) @p_164) :named @p_166)) :named @p_165)) :rule bind)
+(step t40 (cl (not @p_165) (not @p_152) @p_166) :rule equiv_pos2)
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+(step t42.t5 (cl (= @p_164 (! (and @p_168 @p_172) :named @p_173))) :rule cong :premises (t42.t2 t42.t4))
+(step t42 (cl (! (= @p_166 (! (forall ((veriT_vr21 Exp_list$) (veriT_vr22 FreeExp_exp_fun$)) @p_173) :named @p_175)) :named @p_174)) :rule bind)
+(step t43 (cl (not @p_174) (not @p_166) @p_175) :rule equiv_pos2)
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+(step t45.t3 (cl (= @p_178 (! (= z$ @p_177) :named @p_179))) :rule cong :premises (t45.t2))
+(step t45 (cl (= @p_176 (! (exists ((veriT_vr29 FreeExp_list$)) @p_179) :named @p_181))) :rule bind)
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+(step t47 (cl (! (not @p_182) :named @p_185) (! (not @p_180) :named @p_184) @p_183) :rule equiv_pos2)
+(step t48 (cl (not @p_184) @p_176) :rule not_not)
+(step t49 (cl @p_185 @p_176 @p_183) :rule th_resolution :premises (t48 t47))
+(step t50 (cl @p_183) :rule th_resolution :premises (a4 t46 t49))
+(anchor :step t51 :args ((:= (veriT_vr29 FreeExp_list$) veriT_vr30)))
+(step t51.t1 (cl (= veriT_vr29 veriT_vr30)) :rule refl)
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+(step t51.t3 (cl (= @p_179 (! (= z$ @p_186) :named @p_187))) :rule cong :premises (t51.t2))
+(step t51 (cl (= @p_181 (! (exists ((veriT_vr30 FreeExp_list$)) @p_187) :named @p_188))) :rule bind)
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+(step t53 (cl (! (not @p_189) :named @p_192) (! (not @p_183) :named @p_191) @p_190) :rule equiv_pos2)
+(step t54 (cl (not @p_191) @p_181) :rule not_not)
+(step t55 (cl @p_192 @p_181 @p_190) :rule th_resolution :premises (t54 t53))
+(step t56 (cl @p_190) :rule th_resolution :premises (t50 t52 t55))
+(step t57 (cl (= @p_188 (! (not (! (forall ((veriT_vr30 FreeExp_list$)) (not @p_187)) :named @p_198)) :named @p_193))) :rule connective_def)
+(step t58 (cl (! (= @p_190 (! (not @p_193) :named @p_195)) :named @p_194)) :rule cong :premises (t57))
+(step t59 (cl (! (not @p_194) :named @p_197) (! (not @p_190) :named @p_196) @p_195) :rule equiv_pos2)
+(step t60 (cl (not @p_196) @p_188) :rule not_not)
+(step t61 (cl @p_197 @p_188 @p_195) :rule th_resolution :premises (t60 t59))
+(step t62 (cl (not @p_195) @p_198) :rule not_not)
+(step t63 (cl @p_197 @p_188 @p_198) :rule th_resolution :premises (t62 t61))
+(step t64 (cl @p_195) :rule th_resolution :premises (t56 t58 t63))
+(step t65 (cl @p_198) :rule th_resolution :premises (t62 t64))
+(step t66 (cl (or (! (not @p_175) :named @p_336) (! (and (! (=> (! (not (! (forall ((veriT_vr23 FreeExp_list$)) (! (not (! (= z$ (! (map2$ uu$ veriT_vr23) :named @p_203)) :named @p_205)) :named @p_207)) :named @p_202)) :named @p_209) (! (forall ((veriT_vr24 Exp$)) (! (=> (! (member$ veriT_vr24 @p_199) :named @p_212) (! (exists ((veriT_vr25 FreeExp$)) (! (= veriT_vr24 (! (fun_app$ uu$ veriT_vr25) :named @p_217)) :named @p_219)) :named @p_214)) :named @p_221)) :named @p_211)) :named @p_223) (! (=> (! (forall ((veriT_vr26 Exp$)) (! (=> (! (member$ veriT_vr26 @p_199) :named @p_227) (! (not (! (forall ((veriT_vr27 FreeExp$)) (! (not (! (= veriT_vr26 (! (fun_app$ uu$ veriT_vr27) :named @p_231)) :named @p_232)) :named @p_233)) :named @p_228)) :named @p_235)) :named @p_237)) :named @p_226) (! (exists ((veriT_vr28 FreeExp_list$)) (! (= z$ (! (map2$ uu$ veriT_vr28) :named @p_240)) :named @p_241)) :named @p_239)) :named @p_242)) :named @p_200))) :rule forall_inst :args ((:= veriT_vr21 z$) (:= veriT_vr22 uu$)))
+(anchor :step t67)
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+(anchor :step t67.t2 :args ((:= (veriT_vr23 FreeExp_list$) veriT_vr31)))
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+(step t67.t2.t3 (cl (= @p_205 (! (= z$ @p_204) :named @p_206))) :rule cong :premises (t67.t2.t2))
+(step t67.t2.t4 (cl (= @p_207 (! (not @p_206) :named @p_208))) :rule cong :premises (t67.t2.t3))
+(step t67.t2 (cl (= @p_202 (! (forall ((veriT_vr31 FreeExp_list$)) @p_208) :named @p_210))) :rule bind)
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+(anchor :step t67.t4 :args ((:= (veriT_vr24 Exp$) veriT_vr32)))
+(step t67.t4.t1 (cl (! (= veriT_vr24 veriT_vr32) :named @p_216)) :rule refl)
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+(anchor :step t67.t4.t3 :args ((:= (veriT_vr25 FreeExp$) veriT_vr33)))
+(step t67.t4.t3.t1 (cl @p_216) :rule refl)
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+(step t67.t4.t3.t3 (cl (= @p_217 (! (fun_app$ uu$ veriT_vr33) :named @p_218))) :rule cong :premises (t67.t4.t3.t2))
+(step t67.t4.t3.t4 (cl (= @p_219 (! (= veriT_vr32 @p_218) :named @p_220))) :rule cong :premises (t67.t4.t3.t1 t67.t4.t3.t3))
+(step t67.t4.t3 (cl (= @p_214 (! (exists ((veriT_vr33 FreeExp$)) @p_220) :named @p_215))) :rule bind)
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+(step t67.t4 (cl (= @p_211 (! (forall ((veriT_vr32 Exp$)) @p_222) :named @p_225))) :rule bind)
+(step t67.t5 (cl (= @p_223 (! (=> @p_224 @p_225) :named @p_245))) :rule cong :premises (t67.t3 t67.t4))
+(anchor :step t67.t6 :args ((:= (veriT_vr26 Exp$) veriT_vr32)))
+(step t67.t6.t1 (cl (! (= veriT_vr26 veriT_vr32) :named @p_230)) :rule refl)
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+(step t83.t8.t6 (cl (= @p_349 @p_355)) :rule cong :premises (t83.t8.t5))
+(step t83.t8 (cl (= @p_350 (! (forall ((veriT_vr48 FreeExp$)) @p_355) :named @p_360))) :rule bind)
+(step t83.t9 (cl (! (= @p_353 (! (not @p_360) :named @p_362)) :named @p_361)) :rule cong :premises (t83.t8))
+(step t83.t10 (cl (! (not @p_361) :named @p_364) (! (not @p_353) :named @p_363) @p_362) :rule equiv_pos2)
+(step t83.t11 (cl (not @p_363) @p_350) :rule not_not)
+(step t83.t12 (cl @p_364 @p_350 @p_362) :rule th_resolution :premises (t83.t11 t83.t10))
+(step t83.t13 (cl @p_362) :rule th_resolution :premises (t83.t7 t83.t9 t83.t12))
+(anchor :step t83.t14 :args ((:= (veriT_vr48 FreeExp$) veriT_sk2)))
+(step t83.t14.t1 (cl (= veriT_vr48 veriT_sk2)) :rule refl)
+(step t83.t14.t2 (cl (= @p_356 (! (insert$ veriT_sk2 bot$) :named @p_367))) :rule cong :premises (t83.t14.t1))
+(step t83.t14.t3 (cl (= @p_357 (! (myImage$ exprel$ @p_367) :named @p_368))) :rule cong :premises (t83.t14.t2))
+(step t83.t14.t4 (cl (= @p_358 (! (abs_Exp$ @p_368) :named @p_369))) :rule cong :premises (t83.t14.t3))
+(step t83.t14.t5 (cl (= @p_359 (! (= veriT_sk0 @p_369) :named @p_365))) :rule cong :premises (t83.t14.t4))
+(step t83.t14.t6 (cl (= @p_355 (! (not @p_365) :named @p_370))) :rule cong :premises (t83.t14.t5))
+(step t83.t14 (cl (= @p_360 @p_370)) :rule sko_forall)
+(step t83.t15 (cl (! (= @p_362 (! (not @p_370) :named @p_372)) :named @p_371)) :rule cong :premises (t83.t14))
+(step t83.t16 (cl (! (not @p_371) :named @p_374) (! (not @p_362) :named @p_373) @p_372) :rule equiv_pos2)
+(step t83.t17 (cl (not @p_373) @p_360) :rule not_not)
+(step t83.t18 (cl @p_374 @p_360 @p_372) :rule th_resolution :premises (t83.t17 t83.t16))
+(step t83.t19 (cl (! (not @p_372) :named @p_375) @p_365) :rule not_not)
+(step t83.t20 (cl @p_374 @p_360 @p_365) :rule th_resolution :premises (t83.t19 t83.t18))
+(step t83.t21 (cl @p_372) :rule th_resolution :premises (t83.t13 t83.t15 t83.t20))
+(step t83.t22 (cl @p_375 @p_365) :rule not_not)
+(step t83.t23 (cl @p_365) :rule th_resolution :premises (t83.t22 t83.t21))
+(step t83.t24 (cl (= @p_372 @p_365)) :rule not_simplify)
+(step t83.t25 (cl @p_365) :rule th_resolution :premises (t83.t23 t83.t24))
+(step t83 (cl @p_352 @p_365) :rule subproof :discharge (h1))
+(step t84 (cl @p_376 @p_342) :rule not_not)
+(step t85 (cl @p_342 @p_365) :rule th_resolution :premises (t84 t83))
+(step t86 (cl @p_377 @p_341) :rule or :premises (t82))
+(step t87 (cl (! (or @p_377 @p_365) :named @p_379) (! (not @p_377) :named @p_378)) :rule or_neg)
+(step t88 (cl (not @p_378) @p_70) :rule not_not)
+(step t89 (cl @p_379 @p_70) :rule th_resolution :premises (t88 t87))
+(step t90 (cl @p_379 @p_370) :rule or_neg)
+(step t91 (cl @p_379) :rule th_resolution :premises (t86 t85 t89 t90))
+(step t92 (cl @p_377 @p_365) :rule or :premises (t91))
+(step t93 (cl @p_365) :rule resolution :premises (t92 t26))
+(step t94 (cl (or @p_331 (! (not (! (= veriT_sk0 (! (fun_app$ uu$ veriT_sk2) :named @p_381)) :named @p_392)) :named @p_382))) :rule forall_inst :args ((:= veriT_vr46 veriT_sk2)))
+(step t95 (cl (or @p_193 (! (not (! (= z$ (! (abs_ExpList$ veriT_sk1) :named @p_380)) :named @p_389)) :named @p_383))) :rule forall_inst :args ((:= veriT_vr30 veriT_sk1)))
+(step t96 (cl (or (! (not @p_38) :named @p_384) (! (= @p_302 @p_380) :named @p_385))) :rule forall_inst :args ((:= veriT_vr3 veriT_sk1)))
+(step t97 (cl (or (! (not @p_23) :named @p_386) (! (= @p_369 @p_381) :named @p_387))) :rule forall_inst :args ((:= veriT_vr1 veriT_sk2)))
+(step t98 (cl @p_331 @p_382) :rule or :premises (t94))
+(step t99 (cl @p_193 @p_383) :rule or :premises (t95))
+(step t100 (cl @p_383) :rule resolution :premises (t99 t65))
+(step t101 (cl @p_384 @p_385) :rule or :premises (t96))
+(step t102 (cl @p_385) :rule resolution :premises (t101 t17))
+(step t103 (cl @p_386 @p_387) :rule or :premises (t97))
+(step t104 (cl @p_387) :rule resolution :premises (t103 t11))
+(step t105 (cl (! (= z$ z$) :named @p_388)) :rule eq_reflexive)
+(step t106 (cl (not @p_388) (! (not @p_300) :named @p_390) (! (not @p_385) :named @p_391) @p_389) :rule eq_transitive)
+(step t107 (cl @p_390 @p_391 @p_389) :rule th_resolution :premises (t106 t105))
+(step t108 (cl @p_390) :rule resolution :premises (t107 t100 t102))
+(step t109 (cl @p_370 (not @p_387) @p_392) :rule eq_transitive)
+(step t110 (cl @p_392) :rule resolution :premises (t109 t93 t104))
+(step t111 (cl @p_393) :rule resolution :premises (t77 t108 t81))
+(step t112 (cl @p_331) :rule resolution :premises (t98 t110))
+(step t113 (cl) :rule resolution :premises (t76 t111 t112))
+2536758f543bcfd0058986403f6d9a8774a2224b 1301 0
+unsat
+(define-fun veriT_sk0 () Afset$ (! (choice ((veriT_vr43 Afset$)) (not (forall ((veriT_vr44 Afset$) (veriT_vr45 Afset$)) (! (not (! (and (! (= s2$ (! (pair$ veriT_vr43 veriT_vr44) :named @p_535)) :named @p_536) (! (= s3$ (! (pair$ veriT_vr45 veriT_vr44) :named @p_538)) :named @p_451) (! (= const2$ const3$) :named @p_249) (! (forall ((veriT_vr46 A$)) (! (=> (! (member$ veriT_vr46 (! (fun_app$ fset$ veriT_vr43) :named @p_541)) :named @p_542) (! (exists ((veriT_vr47 A$)) (! (and (! (member$ veriT_vr47 (! (fun_app$ fset$ (! (fun_app$a (! (fun_app$b union_fset$ const3$) :named @p_447) (! (fun_app$a (! (fun_app$b union_fset$ veriT_vr45) :named @p_457) veriT_vr44) :named @p_545)) :named @p_546)) :named @p_448)) :named @p_452) (! (exists ((veriT_vr48 A$)) (! (and (! (member$ veriT_vr48 @p_448) :named @p_453) (! (or (! (and (! (tranclp$ (! (fun_app$c ground_resolution$ veriT_vr48) :named @p_449) veriT_vr47 veriT_vr46) :named @p_555) (! (exists ((veriT_vr49 A$)) (! (and (! (member$ veriT_vr49 (! (fun_app$ fset$ veriT_vr45) :named @p_557)) :named @p_558) (! (rtranclp$ @p_449 veriT_vr46 veriT_vr49) :named @p_561)) :named @p_562)) :named @p_556)) :named @p_454) (! (fun_app$d (! (fun_app$e is_least_false_clause$ (! (fun_app$a (! (fun_app$b union_fset$ const2$) :named @p_244) (! (fun_app$a (! (fun_app$b union_fset$ veriT_vr43) :named @p_563) veriT_vr44) :named @p_564)) :named @p_565)) :named @p_566) veriT_vr46) :named @p_567)) :named @p_568)) :named @p_569)) :named @p_547)) :named @p_570)) :named @p_543)) :named @p_571)) :named @p_539)) :named @p_572)) :named @p_534)))) :named @p_450))
+(define-fun veriT_sk1 () Afset$ (! (choice ((veriT_vr44 Afset$)) (not (forall ((veriT_vr45 Afset$)) (not (and (= s2$ (pair$ @p_450 veriT_vr44)) @p_451 @p_249 (forall ((veriT_vr46 A$)) (=> (! (member$ veriT_vr46 (fun_app$ fset$ @p_450)) :named @p_456) (exists ((veriT_vr47 A$)) (and @p_452 (exists ((veriT_vr48 A$)) (and @p_453 (or @p_454 (fun_app$d (fun_app$e is_least_false_clause$ (fun_app$a @p_244 (fun_app$a (! (fun_app$b union_fset$ @p_450) :named @p_459) veriT_vr44))) veriT_vr46))))))))))))) :named @p_455))
+(define-fun veriT_sk2 () Afset$ (! (choice ((veriT_vr45 Afset$)) (not (not (and (= s2$ (pair$ @p_450 @p_455)) (= s3$ (pair$ veriT_vr45 @p_455)) @p_249 (forall ((veriT_vr46 A$)) (=> @p_456 (exists ((veriT_vr47 A$)) (and (member$ veriT_vr47 (! (fun_app$ fset$ (fun_app$a @p_447 (fun_app$a @p_457 @p_455))) :named @p_458)) (exists ((veriT_vr48 A$)) (and (member$ veriT_vr48 @p_458) (or @p_454 (fun_app$d (fun_app$e is_least_false_clause$ (fun_app$a @p_244 (fun_app$a @p_459 @p_455))) veriT_vr46)))))))))))) :named @p_460))
+(define-fun veriT_sk6 () A$ (! (choice ((veriT_vr91 A$)) (not (! (=> (! (member$ veriT_vr91 (! (fun_app$ fset$ veriT_sk0) :named @p_581)) :named @p_719) (! (not (! (forall ((veriT_vr92 A$)) (! (not (! (and (! (member$ veriT_vr92 (! (fun_app$ fset$ (! (fun_app$a @p_244 (! (fun_app$a (! (fun_app$b union_fset$ veriT_sk2) :named @p_592) veriT_sk1) :named @p_593)) :named @p_1010)) :named @p_658)) :named @p_721) (! (not (! (forall ((veriT_vr93 A$)) (! (not (! (and (! (member$ veriT_vr93 @p_658) :named @p_723) (! (or (! (and (! (tranclp$ (! (fun_app$c ground_resolution$ veriT_vr93) :named @p_660) veriT_vr92 veriT_vr91) :named @p_727) (! (not (! (forall ((veriT_vr94 A$)) (! (not (! (and (! (member$ veriT_vr94 (! (fun_app$ fset$ veriT_sk2) :named @p_582)) :named @p_729) (! (rtranclp$ @p_660 veriT_vr91 veriT_vr94) :named @p_732)) :named @p_733)) :named @p_734)) :named @p_728)) :named @p_735)) :named @p_736) (! (fun_app$d (! (fun_app$e is_least_false_clause$ (! (fun_app$a @p_244 (! (fun_app$a (! (fun_app$b union_fset$ veriT_sk0) :named @p_606) veriT_sk1) :named @p_607)) :named @p_608)) :named @p_583) veriT_vr91) :named @p_737)) :named @p_738)) :named @p_739)) :named @p_740)) :named @p_722)) :named @p_741)) :named @p_742)) :named @p_743)) :named @p_720)) :named @p_744)) :named @p_718))) :named @p_661))
+(define-fun veriT_sk10 () A$ (! (choice ((veriT_vr107 A$)) (! (and (! (member$ veriT_vr107 (! (fun_app$ fset$ (! (fun_app$a @p_447 @p_593) :named @p_594)) :named @p_461)) :named @p_847) (! (exists ((veriT_vr108 A$)) (! (and (! (member$ veriT_vr108 @p_461) :named @p_808) (! (or (! (and (! (tranclp$ (! (fun_app$c ground_resolution$ veriT_vr108) :named @p_807) veriT_vr107 veriT_sk6) :named @p_851) (! (exists ((veriT_vr109 A$)) (! (and (! (member$ veriT_vr109 @p_582) :named @p_812) (! (rtranclp$ @p_807 veriT_sk6 veriT_vr109) :named @p_854)) :named @p_855)) :named @p_810)) :named @p_856) (! (fun_app$d @p_583 veriT_sk6) :named @p_750)) :named @p_857)) :named @p_858)) :named @p_848)) :named @p_846)) :named @p_809))
+(define-fun veriT_sk11 () A$ (! (choice ((veriT_vr108 A$)) (and @p_808 (or (and (tranclp$ @p_807 @p_809 veriT_sk6) @p_810) @p_750))) :named @p_811))
+(define-fun veriT_sk12 () A$ (! (choice ((veriT_vr109 A$)) (and @p_812 (rtranclp$ (fun_app$c ground_resolution$ @p_811) veriT_sk6 veriT_vr109))) :named @p_814))
+(assume a0 (! (forall ((?v0 Afset$) (?v1 Afset_afset_prod$) (?v2 Afset$) (?v3 Afset_afset_prod$)) (! (=> (! (and (! (l2_matches_L3$ ground_resolution$ is_least_false_clause$ fset$ union_fset$ ?v0 ?v1 ?v2 ?v3) :named @p_7) (! (forall ((?v4 Afset$) (?v5 Afset$) (?v6 Afset$) (?v7 Afset$) (?v8 Afset$) (?v9 Afset$)) (! (=> (! (and (! (= ?v0 ?v4) :named @p_16) (! (and (! (= ?v1 (! (pair$ ?v5 ?v6) :named @p_90)) :named @p_8) (! (and (! (= ?v2 ?v7) :named @p_18) (! (and (! (= ?v3 (! (pair$ ?v8 ?v9) :named @p_21)) :named @p_23) (! (and (! (= ?v4 ?v7) :named @p_25) (! (and (! (= ?v6 ?v9) :named @p_20) (! (forall ((?v10 A$)) (! (=> (! (member$ ?v10 (! (fun_app$ fset$ ?v5) :named @p_103)) :named @p_9) (! (exists ((?v11 A$)) (! (and (! (member$ ?v11 (! (fun_app$ fset$ (! (fun_app$a (! (fun_app$b union_fset$ ?v7) :named @p_32) (! (fun_app$a (! (fun_app$b union_fset$ ?v8) :named @p_10) ?v9) :named @p_34)) :named @p_36)) :named @p_1)) :named @p_38) (! (exists ((?v12 A$)) (! (and (! (member$ ?v12 @p_1) :named @p_46) (! (or (! (and (! (tranclp$ (! (fun_app$c ground_resolution$ ?v12) :named @p_2) ?v11 ?v10) :named @p_123) (! (exists ((?v13 A$)) (! (and (! (member$ ?v13 (! (fun_app$ fset$ ?v8) :named @p_127)) :named @p_129) (! (rtranclp$ @p_2 ?v10 ?v13) :named @p_133)) :named @p_135)) :named @p_125)) :named @p_12) (! (fun_app$d (! (fun_app$e is_least_false_clause$ (! (fun_app$a (! (fun_app$b union_fset$ ?v4) :named @p_48) (! (fun_app$a (! (fun_app$b union_fset$ ?v5) :named @p_139) ?v6) :named @p_13)) :named @p_49)) :named @p_51) ?v10) :named @p_53)) :named @p_55)) :named @p_57)) :named @p_40)) :named @p_59)) :named @p_30)) :named @p_61)) :named @p_28)) :named @p_63)) :named @p_65)) :named @p_67)) :named @p_69)) :named @p_71)) :named @p_73) false) :named @p_75)) :named @p_14)) :named @p_77) false) :named @p_79)) :named @p_6))
+(assume a1 (! (l2_matches_L3$ ground_resolution$ is_least_false_clause$ fset$ union_fset$ const2$ s2$ const3$ s3$) :named @p_444))
+(assume a2 (! (not (! (=> (! (forall ((?v0 Afset$) (?v1 Afset$) (?v2 Afset$) (?v3 Afset$)) (! (=> (! (and (! (= ?v0 const2$) :named @p_246) (! (and (! (= ?v0 const3$) :named @p_248) (! (and (! (= s2$ (! (pair$ ?v1 ?v2) :named @p_299)) :named @p_238) (! (and (! (= s3$ (! (pair$ ?v3 ?v2) :named @p_303)) :named @p_239) (! (forall ((?v4 A$)) (! (=> (! (member$ ?v4 (! (fun_app$ fset$ ?v1) :named @p_308)) :named @p_240) (! (exists ((?v5 A$)) (! (and (! (member$ ?v5 (! (fun_app$ fset$ (! (fun_app$a (! (fun_app$b union_fset$ ?v0) :named @p_5) (! (fun_app$a (! (fun_app$b union_fset$ ?v3) :named @p_313) ?v2) :named @p_241)) :named @p_254)) :named @p_3)) :named @p_256) (! (exists ((?v6 A$)) (! (and (! (member$ ?v6 @p_3) :named @p_263) (! (or (! (and (! (tranclp$ (! (fun_app$c ground_resolution$ ?v6) :named @p_4) ?v5 ?v4) :named @p_327) (! (exists ((?v7 A$)) (! (and (! (member$ ?v7 (! (fun_app$ fset$ ?v3) :named @p_331)) :named @p_333) (! (rtranclp$ @p_4 ?v4 ?v7) :named @p_337)) :named @p_339)) :named @p_329)) :named @p_243) (! (fun_app$d (! (fun_app$e is_least_false_clause$ (! (fun_app$a @p_5 (! (fun_app$a (! (fun_app$b union_fset$ ?v1) :named @p_342) ?v2) :named @p_245)) :named @p_265)) :named @p_267) ?v4) :named @p_269)) :named @p_271)) :named @p_273)) :named @p_258)) :named @p_275)) :named @p_252)) :named @p_277)) :named @p_250)) :named @p_279)) :named @p_281)) :named @p_283)) :named @p_285) thesis$) :named @p_287)) :named @p_237) thesis$) :named @p_289)) :named @p_291))
+(anchor :step t4 :args ((?v0 Afset$) (?v1 Afset_afset_prod$) (?v2 Afset$) (?v3 Afset_afset_prod$)))
+(anchor :step t4.t1 :args ((?v5 Afset$) (?v6 Afset$) (?v8 Afset$) (:= (?v4 Afset$) ?v0) (:= (?v7 Afset$) ?v2) (:= (?v9 Afset$) ?v6)))
+(step t4.t1.t1 (cl @p_16) :rule refl)
+(step t4.t1.t2 (cl (= @p_16 (! (= ?v0 ?v0) :named @p_17))) :rule cong :premises (t4.t1.t1))
+(step t4.t1.t3 (cl @p_18) :rule refl)
+(step t4.t1.t4 (cl (= @p_18 (! (= ?v2 ?v2) :named @p_19))) :rule cong :premises (t4.t1.t3))
+(step t4.t1.t5 (cl @p_20) :rule refl)
+(step t4.t1.t6 (cl (= @p_21 (! (pair$ ?v8 ?v6) :named @p_22))) :rule cong :premises (t4.t1.t5))
+(step t4.t1.t7 (cl (= @p_23 (! (= ?v3 @p_22) :named @p_24))) :rule cong :premises (t4.t1.t6))
+(step t4.t1.t8 (cl @p_16) :rule refl)
+(step t4.t1.t9 (cl @p_18) :rule refl)
+(step t4.t1.t10 (cl (= @p_25 (! (= ?v0 ?v2) :named @p_26))) :rule cong :premises (t4.t1.t8 t4.t1.t9))
+(step t4.t1.t11 (cl @p_20) :rule refl)
+(step t4.t1.t12 (cl (= @p_20 (! (= ?v6 ?v6) :named @p_27))) :rule cong :premises (t4.t1.t11))
+(anchor :step t4.t1.t13 :args ((?v10 A$)))
+(anchor :step t4.t1.t13.t1 :args ((?v11 A$)))
+(step t4.t1.t13.t1.t1 (cl @p_18) :rule refl)
+(step t4.t1.t13.t1.t2 (cl (! (= @p_32 (! (fun_app$b union_fset$ ?v2) :named @p_33)) :named @p_42)) :rule cong :premises (t4.t1.t13.t1.t1))
+(step t4.t1.t13.t1.t3 (cl @p_20) :rule refl)
+(step t4.t1.t13.t1.t4 (cl (! (= @p_34 (! (fun_app$a @p_10 ?v6) :named @p_35)) :named @p_43)) :rule cong :premises (t4.t1.t13.t1.t3))
+(step t4.t1.t13.t1.t5 (cl (! (= @p_36 (! (fun_app$a @p_33 @p_35) :named @p_37)) :named @p_44)) :rule cong :premises (t4.t1.t13.t1.t2 t4.t1.t13.t1.t4))
+(step t4.t1.t13.t1.t6 (cl (! (= @p_1 (! (fun_app$ fset$ @p_37) :named @p_11)) :named @p_45)) :rule cong :premises (t4.t1.t13.t1.t5))
+(step t4.t1.t13.t1.t7 (cl (= @p_38 (! (member$ ?v11 @p_11) :named @p_39))) :rule cong :premises (t4.t1.t13.t1.t6))
+(anchor :step t4.t1.t13.t1.t8 :args ((?v12 A$)))
+(step t4.t1.t13.t1.t8.t1 (cl @p_18) :rule refl)
+(step t4.t1.t13.t1.t8.t2 (cl @p_42) :rule cong :premises (t4.t1.t13.t1.t8.t1))
+(step t4.t1.t13.t1.t8.t3 (cl @p_20) :rule refl)
+(step t4.t1.t13.t1.t8.t4 (cl @p_43) :rule cong :premises (t4.t1.t13.t1.t8.t3))
+(step t4.t1.t13.t1.t8.t5 (cl @p_44) :rule cong :premises (t4.t1.t13.t1.t8.t2 t4.t1.t13.t1.t8.t4))
+(step t4.t1.t13.t1.t8.t6 (cl @p_45) :rule cong :premises (t4.t1.t13.t1.t8.t5))
+(step t4.t1.t13.t1.t8.t7 (cl (= @p_46 (! (member$ ?v12 @p_11) :named @p_47))) :rule cong :premises (t4.t1.t13.t1.t8.t6))
+(step t4.t1.t13.t1.t8.t8 (cl @p_16) :rule refl)
+(step t4.t1.t13.t1.t8.t9 (cl (= @p_48 @p_5)) :rule cong :premises (t4.t1.t13.t1.t8.t8))
+(step t4.t1.t13.t1.t8.t10 (cl (= @p_49 (! (fun_app$a @p_5 @p_13) :named @p_50))) :rule cong :premises (t4.t1.t13.t1.t8.t9))
+(step t4.t1.t13.t1.t8.t11 (cl (= @p_51 (! (fun_app$e is_least_false_clause$ @p_50) :named @p_52))) :rule cong :premises (t4.t1.t13.t1.t8.t10))
+(step t4.t1.t13.t1.t8.t12 (cl (= @p_53 (! (fun_app$d @p_52 ?v10) :named @p_54))) :rule cong :premises (t4.t1.t13.t1.t8.t11))
+(step t4.t1.t13.t1.t8.t13 (cl (= @p_55 (! (or @p_12 @p_54) :named @p_56))) :rule cong :premises (t4.t1.t13.t1.t8.t12))
+(step t4.t1.t13.t1.t8.t14 (cl (= @p_57 (! (and @p_47 @p_56) :named @p_58))) :rule cong :premises (t4.t1.t13.t1.t8.t7 t4.t1.t13.t1.t8.t13))
+(step t4.t1.t13.t1.t8 (cl (= @p_40 (! (exists ((?v12 A$)) @p_58) :named @p_41))) :rule bind)
+(step t4.t1.t13.t1.t9 (cl (= @p_59 (! (and @p_39 @p_41) :named @p_60))) :rule cong :premises (t4.t1.t13.t1.t7 t4.t1.t13.t1.t8))
+(step t4.t1.t13.t1 (cl (= @p_30 (! (exists ((?v11 A$)) @p_60) :named @p_31))) :rule bind)
+(step t4.t1.t13.t2 (cl (= @p_61 (! (=> @p_9 @p_31) :named @p_62))) :rule cong :premises (t4.t1.t13.t1))
+(step t4.t1.t13 (cl (= @p_28 (! (forall ((?v10 A$)) @p_62) :named @p_29))) :rule bind)
+(step t4.t1.t14 (cl (= @p_63 (! (and @p_27 @p_29) :named @p_64))) :rule cong :premises (t4.t1.t12 t4.t1.t13))
+(step t4.t1.t15 (cl (= @p_65 (! (and @p_26 @p_64) :named @p_66))) :rule cong :premises (t4.t1.t10 t4.t1.t14))
+(step t4.t1.t16 (cl (= @p_67 (! (and @p_24 @p_66) :named @p_68))) :rule cong :premises (t4.t1.t7 t4.t1.t15))
+(step t4.t1.t17 (cl (= @p_69 (! (and @p_19 @p_68) :named @p_70))) :rule cong :premises (t4.t1.t4 t4.t1.t16))
+(step t4.t1.t18 (cl (= @p_71 (! (and @p_8 @p_70) :named @p_72))) :rule cong :premises (t4.t1.t17))
+(step t4.t1.t19 (cl (= @p_73 (! (and @p_17 @p_72) :named @p_74))) :rule cong :premises (t4.t1.t2 t4.t1.t18))
+(step t4.t1.t20 (cl (= @p_75 (! (=> @p_74 false) :named @p_76))) :rule cong :premises (t4.t1.t19))
+(step t4.t1 (cl (= @p_14 (! (forall ((?v5 Afset$) (?v6 Afset$) (?v8 Afset$)) @p_76) :named @p_15))) :rule onepoint)
+(step t4.t2 (cl (= @p_77 (! (and @p_7 @p_15) :named @p_78))) :rule cong :premises (t4.t1))
+(step t4.t3 (cl (= @p_79 (! (=> @p_78 false) :named @p_80))) :rule cong :premises (t4.t2))
+(step t4 (cl (! (= @p_6 (! (forall ((?v0 Afset$) (?v1 Afset_afset_prod$) (?v2 Afset$) (?v3 Afset_afset_prod$)) @p_80) :named @p_82)) :named @p_81)) :rule bind)
+(step t5 (cl (not @p_81) (not @p_6) @p_82) :rule equiv_pos2)
+(step t6 (cl @p_82) :rule th_resolution :premises (a0 t4 t5))
+(anchor :step t7 :args ((:= (?v0 Afset$) veriT_vr0) (:= (?v1 Afset_afset_prod$) veriT_vr1) (:= (?v2 Afset$) veriT_vr2) (:= (?v3 Afset_afset_prod$) veriT_vr3)))
+(step t7.t1 (cl (! (= ?v0 veriT_vr0) :named @p_87)) :rule refl)
+(step t7.t2 (cl (! (= ?v1 veriT_vr1) :named @p_89)) :rule refl)
+(step t7.t3 (cl (! (= ?v2 veriT_vr2) :named @p_93)) :rule refl)
+(step t7.t4 (cl (! (= ?v3 veriT_vr3) :named @p_95)) :rule refl)
+(step t7.t5 (cl (= @p_7 (! (l2_matches_L3$ ground_resolution$ is_least_false_clause$ fset$ union_fset$ veriT_vr0 veriT_vr1 veriT_vr2 veriT_vr3) :named @p_85))) :rule cong :premises (t7.t1 t7.t2 t7.t3 t7.t4))
+(anchor :step t7.t6 :args ((:= (?v5 Afset$) veriT_vr4) (:= (?v6 Afset$) veriT_vr5) (:= (?v8 Afset$) veriT_vr6)))
+(step t7.t6.t1 (cl @p_87) :rule refl)
+(step t7.t6.t2 (cl @p_87) :rule refl)
+(step t7.t6.t3 (cl (= @p_17 (! (= veriT_vr0 veriT_vr0) :named @p_88))) :rule cong :premises (t7.t6.t1 t7.t6.t2))
+(step t7.t6.t4 (cl @p_89) :rule refl)
+(step t7.t6.t5 (cl (! (= ?v5 veriT_vr4) :named @p_102)) :rule refl)
+(step t7.t6.t6 (cl (! (= ?v6 veriT_vr5) :named @p_96)) :rule refl)
+(step t7.t6.t7 (cl (= @p_90 (! (pair$ veriT_vr4 veriT_vr5) :named @p_91))) :rule cong :premises (t7.t6.t5 t7.t6.t6))
+(step t7.t6.t8 (cl (= @p_8 (! (= veriT_vr1 @p_91) :named @p_92))) :rule cong :premises (t7.t6.t4 t7.t6.t7))
+(step t7.t6.t9 (cl @p_93) :rule refl)
+(step t7.t6.t10 (cl @p_93) :rule refl)
+(step t7.t6.t11 (cl (= @p_19 (! (= veriT_vr2 veriT_vr2) :named @p_94))) :rule cong :premises (t7.t6.t9 t7.t6.t10))
+(step t7.t6.t12 (cl @p_95) :rule refl)
+(step t7.t6.t13 (cl (! (= ?v8 veriT_vr6) :named @p_108)) :rule refl)
+(step t7.t6.t14 (cl @p_96) :rule refl)
+(step t7.t6.t15 (cl (= @p_22 (! (pair$ veriT_vr6 veriT_vr5) :named @p_97))) :rule cong :premises (t7.t6.t13 t7.t6.t14))
+(step t7.t6.t16 (cl (= @p_24 (! (= veriT_vr3 @p_97) :named @p_98))) :rule cong :premises (t7.t6.t12 t7.t6.t15))
+(step t7.t6.t17 (cl @p_87) :rule refl)
+(step t7.t6.t18 (cl @p_93) :rule refl)
+(step t7.t6.t19 (cl (= @p_26 (! (= veriT_vr0 veriT_vr2) :named @p_99))) :rule cong :premises (t7.t6.t17 t7.t6.t18))
+(step t7.t6.t20 (cl @p_96) :rule refl)
+(step t7.t6.t21 (cl @p_96) :rule refl)
+(step t7.t6.t22 (cl (= @p_27 (! (= veriT_vr5 veriT_vr5) :named @p_100))) :rule cong :premises (t7.t6.t20 t7.t6.t21))
+(anchor :step t7.t6.t23 :args ((:= (?v10 A$) veriT_vr7)))
+(step t7.t6.t23.t1 (cl (! (= ?v10 veriT_vr7) :named @p_122)) :rule refl)
+(step t7.t6.t23.t2 (cl @p_102) :rule refl)
+(step t7.t6.t23.t3 (cl (= @p_103 (! (fun_app$ fset$ veriT_vr4) :named @p_104))) :rule cong :premises (t7.t6.t23.t2))
+(step t7.t6.t23.t4 (cl (= @p_9 (! (member$ veriT_vr7 @p_104) :named @p_105))) :rule cong :premises (t7.t6.t23.t1 t7.t6.t23.t3))
+(anchor :step t7.t6.t23.t5 :args ((:= (?v11 A$) veriT_vr8)))
+(step t7.t6.t23.t5.t1 (cl (! (= ?v11 veriT_vr8) :named @p_121)) :rule refl)
+(step t7.t6.t23.t5.t2 (cl @p_93) :rule refl)
+(step t7.t6.t23.t5.t3 (cl (! (= @p_33 (! (fun_app$b union_fset$ veriT_vr2) :named @p_107)) :named @p_114)) :rule cong :premises (t7.t6.t23.t5.t2))
+(step t7.t6.t23.t5.t4 (cl @p_108) :rule refl)
+(step t7.t6.t23.t5.t5 (cl (! (= @p_10 (! (fun_app$b union_fset$ veriT_vr6) :named @p_109)) :named @p_115)) :rule cong :premises (t7.t6.t23.t5.t4))
+(step t7.t6.t23.t5.t6 (cl @p_96) :rule refl)
+(step t7.t6.t23.t5.t7 (cl (! (= @p_35 (! (fun_app$a @p_109 veriT_vr5) :named @p_110)) :named @p_116)) :rule cong :premises (t7.t6.t23.t5.t5 t7.t6.t23.t5.t6))
+(step t7.t6.t23.t5.t8 (cl (! (= @p_37 (! (fun_app$a @p_107 @p_110) :named @p_111)) :named @p_117)) :rule cong :premises (t7.t6.t23.t5.t3 t7.t6.t23.t5.t7))
+(step t7.t6.t23.t5.t9 (cl (! (= @p_11 (! (fun_app$ fset$ @p_111) :named @p_83)) :named @p_118)) :rule cong :premises (t7.t6.t23.t5.t8))
+(step t7.t6.t23.t5.t10 (cl (= @p_39 (! (member$ veriT_vr8 @p_83) :named @p_112))) :rule cong :premises (t7.t6.t23.t5.t1 t7.t6.t23.t5.t9))
+(anchor :step t7.t6.t23.t5.t11 :args ((:= (?v12 A$) veriT_vr9)))
+(step t7.t6.t23.t5.t11.t1 (cl (! (= ?v12 veriT_vr9) :named @p_120)) :rule refl)
+(step t7.t6.t23.t5.t11.t2 (cl @p_93) :rule refl)
+(step t7.t6.t23.t5.t11.t3 (cl @p_114) :rule cong :premises (t7.t6.t23.t5.t11.t2))
+(step t7.t6.t23.t5.t11.t4 (cl @p_108) :rule refl)
+(step t7.t6.t23.t5.t11.t5 (cl @p_115) :rule cong :premises (t7.t6.t23.t5.t11.t4))
+(step t7.t6.t23.t5.t11.t6 (cl @p_96) :rule refl)
+(step t7.t6.t23.t5.t11.t7 (cl @p_116) :rule cong :premises (t7.t6.t23.t5.t11.t5 t7.t6.t23.t5.t11.t6))
+(step t7.t6.t23.t5.t11.t8 (cl @p_117) :rule cong :premises (t7.t6.t23.t5.t11.t3 t7.t6.t23.t5.t11.t7))
+(step t7.t6.t23.t5.t11.t9 (cl @p_118) :rule cong :premises (t7.t6.t23.t5.t11.t8))
+(step t7.t6.t23.t5.t11.t10 (cl (= @p_47 (! (member$ veriT_vr9 @p_83) :named @p_119))) :rule cong :premises (t7.t6.t23.t5.t11.t1 t7.t6.t23.t5.t11.t9))
+(step t7.t6.t23.t5.t11.t11 (cl @p_120) :rule refl)
+(step t7.t6.t23.t5.t11.t12 (cl (! (= @p_2 (! (fun_app$c ground_resolution$ veriT_vr9) :named @p_84)) :named @p_131)) :rule cong :premises (t7.t6.t23.t5.t11.t11))
+(step t7.t6.t23.t5.t11.t13 (cl @p_121) :rule refl)
+(step t7.t6.t23.t5.t11.t14 (cl @p_122) :rule refl)
+(step t7.t6.t23.t5.t11.t15 (cl (= @p_123 (! (tranclp$ @p_84 veriT_vr8 veriT_vr7) :named @p_124))) :rule cong :premises (t7.t6.t23.t5.t11.t12 t7.t6.t23.t5.t11.t13 t7.t6.t23.t5.t11.t14))
+(anchor :step t7.t6.t23.t5.t11.t16 :args ((:= (?v13 A$) veriT_vr10)))
+(step t7.t6.t23.t5.t11.t16.t1 (cl (! (= ?v13 veriT_vr10) :named @p_132)) :rule refl)
+(step t7.t6.t23.t5.t11.t16.t2 (cl @p_108) :rule refl)
+(step t7.t6.t23.t5.t11.t16.t3 (cl (= @p_127 (! (fun_app$ fset$ veriT_vr6) :named @p_128))) :rule cong :premises (t7.t6.t23.t5.t11.t16.t2))
+(step t7.t6.t23.t5.t11.t16.t4 (cl (= @p_129 (! (member$ veriT_vr10 @p_128) :named @p_130))) :rule cong :premises (t7.t6.t23.t5.t11.t16.t1 t7.t6.t23.t5.t11.t16.t3))
+(step t7.t6.t23.t5.t11.t16.t5 (cl @p_120) :rule refl)
+(step t7.t6.t23.t5.t11.t16.t6 (cl @p_131) :rule cong :premises (t7.t6.t23.t5.t11.t16.t5))
+(step t7.t6.t23.t5.t11.t16.t7 (cl @p_122) :rule refl)
+(step t7.t6.t23.t5.t11.t16.t8 (cl @p_132) :rule refl)
+(step t7.t6.t23.t5.t11.t16.t9 (cl (= @p_133 (! (rtranclp$ @p_84 veriT_vr7 veriT_vr10) :named @p_134))) :rule cong :premises (t7.t6.t23.t5.t11.t16.t6 t7.t6.t23.t5.t11.t16.t7 t7.t6.t23.t5.t11.t16.t8))
+(step t7.t6.t23.t5.t11.t16.t10 (cl (= @p_135 (! (and @p_130 @p_134) :named @p_136))) :rule cong :premises (t7.t6.t23.t5.t11.t16.t4 t7.t6.t23.t5.t11.t16.t9))
+(step t7.t6.t23.t5.t11.t16 (cl (= @p_125 (! (exists ((veriT_vr10 A$)) @p_136) :named @p_126))) :rule bind)
+(step t7.t6.t23.t5.t11.t17 (cl (= @p_12 (! (and @p_124 @p_126) :named @p_137))) :rule cong :premises (t7.t6.t23.t5.t11.t15 t7.t6.t23.t5.t11.t16))
+(step t7.t6.t23.t5.t11.t18 (cl @p_87) :rule refl)
+(step t7.t6.t23.t5.t11.t19 (cl (= @p_5 (! (fun_app$b union_fset$ veriT_vr0) :named @p_138))) :rule cong :premises (t7.t6.t23.t5.t11.t18))
+(step t7.t6.t23.t5.t11.t20 (cl @p_102) :rule refl)
+(step t7.t6.t23.t5.t11.t21 (cl (= @p_139 (! (fun_app$b union_fset$ veriT_vr4) :named @p_140))) :rule cong :premises (t7.t6.t23.t5.t11.t20))
+(step t7.t6.t23.t5.t11.t22 (cl @p_96) :rule refl)
+(step t7.t6.t23.t5.t11.t23 (cl (= @p_13 (! (fun_app$a @p_140 veriT_vr5) :named @p_141))) :rule cong :premises (t7.t6.t23.t5.t11.t21 t7.t6.t23.t5.t11.t22))
+(step t7.t6.t23.t5.t11.t24 (cl (= @p_50 (! (fun_app$a @p_138 @p_141) :named @p_142))) :rule cong :premises (t7.t6.t23.t5.t11.t19 t7.t6.t23.t5.t11.t23))
+(step t7.t6.t23.t5.t11.t25 (cl (= @p_52 (! (fun_app$e is_least_false_clause$ @p_142) :named @p_143))) :rule cong :premises (t7.t6.t23.t5.t11.t24))
+(step t7.t6.t23.t5.t11.t26 (cl @p_122) :rule refl)
+(step t7.t6.t23.t5.t11.t27 (cl (= @p_54 (! (fun_app$d @p_143 veriT_vr7) :named @p_144))) :rule cong :premises (t7.t6.t23.t5.t11.t25 t7.t6.t23.t5.t11.t26))
+(step t7.t6.t23.t5.t11.t28 (cl (= @p_56 (! (or @p_137 @p_144) :named @p_145))) :rule cong :premises (t7.t6.t23.t5.t11.t17 t7.t6.t23.t5.t11.t27))
+(step t7.t6.t23.t5.t11.t29 (cl (= @p_58 (! (and @p_119 @p_145) :named @p_146))) :rule cong :premises (t7.t6.t23.t5.t11.t10 t7.t6.t23.t5.t11.t28))
+(step t7.t6.t23.t5.t11 (cl (= @p_41 (! (exists ((veriT_vr9 A$)) @p_146) :named @p_113))) :rule bind)
+(step t7.t6.t23.t5.t12 (cl (= @p_60 (! (and @p_112 @p_113) :named @p_147))) :rule cong :premises (t7.t6.t23.t5.t10 t7.t6.t23.t5.t11))
+(step t7.t6.t23.t5 (cl (= @p_31 (! (exists ((veriT_vr8 A$)) @p_147) :named @p_106))) :rule bind)
+(step t7.t6.t23.t6 (cl (= @p_62 (! (=> @p_105 @p_106) :named @p_148))) :rule cong :premises (t7.t6.t23.t4 t7.t6.t23.t5))
+(step t7.t6.t23 (cl (= @p_29 (! (forall ((veriT_vr7 A$)) @p_148) :named @p_101))) :rule bind)
+(step t7.t6.t24 (cl (= @p_64 (! (and @p_100 @p_101) :named @p_149))) :rule cong :premises (t7.t6.t22 t7.t6.t23))
+(step t7.t6.t25 (cl (= @p_66 (! (and @p_99 @p_149) :named @p_150))) :rule cong :premises (t7.t6.t19 t7.t6.t24))
+(step t7.t6.t26 (cl (= @p_68 (! (and @p_98 @p_150) :named @p_151))) :rule cong :premises (t7.t6.t16 t7.t6.t25))
+(step t7.t6.t27 (cl (= @p_70 (! (and @p_94 @p_151) :named @p_152))) :rule cong :premises (t7.t6.t11 t7.t6.t26))
+(step t7.t6.t28 (cl (= @p_72 (! (and @p_92 @p_152) :named @p_153))) :rule cong :premises (t7.t6.t8 t7.t6.t27))
+(step t7.t6.t29 (cl (= @p_74 (! (and @p_88 @p_153) :named @p_154))) :rule cong :premises (t7.t6.t3 t7.t6.t28))
+(step t7.t6.t30 (cl (= @p_76 (! (=> @p_154 false) :named @p_155))) :rule cong :premises (t7.t6.t29))
+(step t7.t6 (cl (= @p_15 (! (forall ((veriT_vr4 Afset$) (veriT_vr5 Afset$) (veriT_vr6 Afset$)) @p_155) :named @p_86))) :rule bind)
+(step t7.t7 (cl (= @p_78 (! (and @p_85 @p_86) :named @p_156))) :rule cong :premises (t7.t5 t7.t6))
+(step t7.t8 (cl (= @p_80 (! (=> @p_156 false) :named @p_157))) :rule cong :premises (t7.t7))
+(step t7 (cl (! (= @p_82 (! (forall ((veriT_vr0 Afset$) (veriT_vr1 Afset_afset_prod$) (veriT_vr2 Afset$) (veriT_vr3 Afset_afset_prod$)) @p_157) :named @p_159)) :named @p_158)) :rule bind)
+(step t8 (cl (not @p_158) (not @p_82) @p_159) :rule equiv_pos2)
+(step t9 (cl @p_159) :rule th_resolution :premises (t6 t7 t8))
+(anchor :step t10 :args ((veriT_vr0 Afset$) (veriT_vr1 Afset_afset_prod$) (veriT_vr2 Afset$) (veriT_vr3 Afset_afset_prod$)))
+(anchor :step t10.t1 :args ((veriT_vr4 Afset$) (veriT_vr5 Afset$) (veriT_vr6 Afset$)))
+(step t10.t1.t1 (cl (= @p_154 (! (and @p_88 @p_92 @p_94 @p_98 @p_99 @p_100 @p_101) :named @p_161))) :rule ac_simp)
+(step t10.t1.t2 (cl (= @p_155 (! (=> @p_161 false) :named @p_162))) :rule cong :premises (t10.t1.t1))
+(step t10.t1 (cl (= @p_86 (! (forall ((veriT_vr4 Afset$) (veriT_vr5 Afset$) (veriT_vr6 Afset$)) @p_162) :named @p_160))) :rule bind)
+(step t10.t2 (cl (= @p_156 (! (and @p_85 @p_160) :named @p_163))) :rule ac_simp :premises (t10.t1))
+(step t10.t3 (cl (= @p_157 (! (=> @p_163 false) :named @p_164))) :rule cong :premises (t10.t2))
+(step t10 (cl (! (= @p_159 (! (forall ((veriT_vr0 Afset$) (veriT_vr1 Afset_afset_prod$) (veriT_vr2 Afset$) (veriT_vr3 Afset_afset_prod$)) @p_164) :named @p_166)) :named @p_165)) :rule bind)
+(step t11 (cl (not @p_165) (not @p_159) @p_166) :rule equiv_pos2)
+(step t12 (cl @p_166) :rule th_resolution :premises (t9 t10 t11))
+(anchor :step t13 :args ((veriT_vr0 Afset$) (veriT_vr1 Afset_afset_prod$) (veriT_vr2 Afset$) (veriT_vr3 Afset_afset_prod$)))
+(anchor :step t13.t1 :args ((veriT_vr4 Afset$) (veriT_vr5 Afset$) (veriT_vr6 Afset$)))
+(step t13.t1.t1 (cl (= @p_88 true)) :rule eq_simplify)
+(step t13.t1.t2 (cl (= @p_94 true)) :rule eq_simplify)
+(step t13.t1.t3 (cl (= @p_100 true)) :rule eq_simplify)
+(step t13.t1.t4 (cl (= @p_161 (! (and true @p_92 true @p_98 @p_99 true @p_101) :named @p_168))) :rule cong :premises (t13.t1.t1 t13.t1.t2 t13.t1.t3))
+(step t13.t1.t5 (cl (= @p_168 (! (and @p_92 @p_98 @p_99 @p_101) :named @p_169))) :rule and_simplify)
+(step t13.t1.t6 (cl (= @p_161 @p_169)) :rule trans :premises (t13.t1.t4 t13.t1.t5))
+(step t13.t1.t7 (cl (= @p_162 (! (=> @p_169 false) :named @p_170))) :rule cong :premises (t13.t1.t6))
+(step t13.t1.t8 (cl (= @p_170 (! (not @p_169) :named @p_171))) :rule implies_simplify)
+(step t13.t1.t9 (cl (= @p_162 @p_171)) :rule trans :premises (t13.t1.t7 t13.t1.t8))
+(step t13.t1 (cl (= @p_160 (! (forall ((veriT_vr4 Afset$) (veriT_vr5 Afset$) (veriT_vr6 Afset$)) @p_171) :named @p_167))) :rule bind)
+(step t13.t2 (cl (= @p_163 (! (and @p_85 @p_167) :named @p_172))) :rule cong :premises (t13.t1))
+(step t13.t3 (cl (= @p_164 (! (=> @p_172 false) :named @p_173))) :rule cong :premises (t13.t2))
+(step t13.t4 (cl (= @p_173 (! (not @p_172) :named @p_174))) :rule implies_simplify)
+(step t13.t5 (cl (= @p_164 @p_174)) :rule trans :premises (t13.t3 t13.t4))
+(step t13 (cl (! (= @p_166 (! (forall ((veriT_vr0 Afset$) (veriT_vr1 Afset_afset_prod$) (veriT_vr2 Afset$) (veriT_vr3 Afset_afset_prod$)) @p_174) :named @p_176)) :named @p_175)) :rule bind)
+(step t14 (cl (not @p_175) (not @p_166) @p_176) :rule equiv_pos2)
+(step t15 (cl @p_176) :rule th_resolution :premises (t12 t13 t14))
+(anchor :step t16 :args ((:= (veriT_vr0 Afset$) veriT_vr11) (:= (veriT_vr1 Afset_afset_prod$) veriT_vr12) (:= (veriT_vr2 Afset$) veriT_vr13) (:= (veriT_vr3 Afset_afset_prod$) veriT_vr14)))
+(step t16.t1 (cl (! (= veriT_vr0 veriT_vr11) :named @p_188)) :rule refl)
+(step t16.t2 (cl (! (= veriT_vr1 veriT_vr12) :named @p_181)) :rule refl)
+(step t16.t3 (cl (! (= veriT_vr2 veriT_vr13) :named @p_189)) :rule refl)
+(step t16.t4 (cl (! (= veriT_vr3 veriT_vr14) :named @p_184)) :rule refl)
+(step t16.t5 (cl (= @p_85 (! (l2_matches_L3$ ground_resolution$ is_least_false_clause$ fset$ union_fset$ veriT_vr11 veriT_vr12 veriT_vr13 veriT_vr14) :named @p_179))) :rule cong :premises (t16.t1 t16.t2 t16.t3 t16.t4))
+(anchor :step t16.t6 :args ((:= (veriT_vr4 Afset$) veriT_vr15) (:= (veriT_vr5 Afset$) veriT_vr16) (:= (veriT_vr6 Afset$) veriT_vr17)))
+(step t16.t6.t1 (cl @p_181) :rule refl)
+(step t16.t6.t2 (cl (! (= veriT_vr4 veriT_vr15) :named @p_192)) :rule refl)
+(step t16.t6.t3 (cl (! (= veriT_vr5 veriT_vr16) :named @p_185)) :rule refl)
+(step t16.t6.t4 (cl (= @p_91 (! (pair$ veriT_vr15 veriT_vr16) :named @p_182))) :rule cong :premises (t16.t6.t2 t16.t6.t3))
+(step t16.t6.t5 (cl (= @p_92 (! (= veriT_vr12 @p_182) :named @p_183))) :rule cong :premises (t16.t6.t1 t16.t6.t4))
+(step t16.t6.t6 (cl @p_184) :rule refl)
+(step t16.t6.t7 (cl (! (= veriT_vr6 veriT_vr17) :named @p_197)) :rule refl)
+(step t16.t6.t8 (cl @p_185) :rule refl)
+(step t16.t6.t9 (cl (= @p_97 (! (pair$ veriT_vr17 veriT_vr16) :named @p_186))) :rule cong :premises (t16.t6.t7 t16.t6.t8))
+(step t16.t6.t10 (cl (= @p_98 (! (= veriT_vr14 @p_186) :named @p_187))) :rule cong :premises (t16.t6.t6 t16.t6.t9))
+(step t16.t6.t11 (cl @p_188) :rule refl)
+(step t16.t6.t12 (cl @p_189) :rule refl)
+(step t16.t6.t13 (cl (= @p_99 (! (= veriT_vr11 veriT_vr13) :named @p_190))) :rule cong :premises (t16.t6.t11 t16.t6.t12))
+(anchor :step t16.t6.t14 :args ((:= (veriT_vr7 A$) veriT_vr18)))
+(step t16.t6.t14.t1 (cl (! (= veriT_vr7 veriT_vr18) :named @p_211)) :rule refl)
+(step t16.t6.t14.t2 (cl @p_192) :rule refl)
+(step t16.t6.t14.t3 (cl (= @p_104 (! (fun_app$ fset$ veriT_vr15) :named @p_193))) :rule cong :premises (t16.t6.t14.t2))
+(step t16.t6.t14.t4 (cl (= @p_105 (! (member$ veriT_vr18 @p_193) :named @p_194))) :rule cong :premises (t16.t6.t14.t1 t16.t6.t14.t3))
+(anchor :step t16.t6.t14.t5 :args ((:= (veriT_vr8 A$) veriT_vr19)))
+(step t16.t6.t14.t5.t1 (cl (! (= veriT_vr8 veriT_vr19) :named @p_210)) :rule refl)
+(step t16.t6.t14.t5.t2 (cl @p_189) :rule refl)
+(step t16.t6.t14.t5.t3 (cl (! (= @p_107 (! (fun_app$b union_fset$ veriT_vr13) :named @p_196)) :named @p_203)) :rule cong :premises (t16.t6.t14.t5.t2))
+(step t16.t6.t14.t5.t4 (cl @p_197) :rule refl)
+(step t16.t6.t14.t5.t5 (cl (! (= @p_109 (! (fun_app$b union_fset$ veriT_vr17) :named @p_198)) :named @p_204)) :rule cong :premises (t16.t6.t14.t5.t4))
+(step t16.t6.t14.t5.t6 (cl @p_185) :rule refl)
+(step t16.t6.t14.t5.t7 (cl (! (= @p_110 (! (fun_app$a @p_198 veriT_vr16) :named @p_199)) :named @p_205)) :rule cong :premises (t16.t6.t14.t5.t5 t16.t6.t14.t5.t6))
+(step t16.t6.t14.t5.t8 (cl (! (= @p_111 (! (fun_app$a @p_196 @p_199) :named @p_200)) :named @p_206)) :rule cong :premises (t16.t6.t14.t5.t3 t16.t6.t14.t5.t7))
+(step t16.t6.t14.t5.t9 (cl (! (= @p_83 (! (fun_app$ fset$ @p_200) :named @p_177)) :named @p_207)) :rule cong :premises (t16.t6.t14.t5.t8))
+(step t16.t6.t14.t5.t10 (cl (= @p_112 (! (member$ veriT_vr19 @p_177) :named @p_201))) :rule cong :premises (t16.t6.t14.t5.t1 t16.t6.t14.t5.t9))
+(anchor :step t16.t6.t14.t5.t11 :args ((:= (veriT_vr9 A$) veriT_vr20)))
+(step t16.t6.t14.t5.t11.t1 (cl (! (= veriT_vr9 veriT_vr20) :named @p_209)) :rule refl)
+(step t16.t6.t14.t5.t11.t2 (cl @p_189) :rule refl)
+(step t16.t6.t14.t5.t11.t3 (cl @p_203) :rule cong :premises (t16.t6.t14.t5.t11.t2))
+(step t16.t6.t14.t5.t11.t4 (cl @p_197) :rule refl)
+(step t16.t6.t14.t5.t11.t5 (cl @p_204) :rule cong :premises (t16.t6.t14.t5.t11.t4))
+(step t16.t6.t14.t5.t11.t6 (cl @p_185) :rule refl)
+(step t16.t6.t14.t5.t11.t7 (cl @p_205) :rule cong :premises (t16.t6.t14.t5.t11.t5 t16.t6.t14.t5.t11.t6))
+(step t16.t6.t14.t5.t11.t8 (cl @p_206) :rule cong :premises (t16.t6.t14.t5.t11.t3 t16.t6.t14.t5.t11.t7))
+(step t16.t6.t14.t5.t11.t9 (cl @p_207) :rule cong :premises (t16.t6.t14.t5.t11.t8))
+(step t16.t6.t14.t5.t11.t10 (cl (= @p_119 (! (member$ veriT_vr20 @p_177) :named @p_208))) :rule cong :premises (t16.t6.t14.t5.t11.t1 t16.t6.t14.t5.t11.t9))
+(step t16.t6.t14.t5.t11.t11 (cl @p_209) :rule refl)
+(step t16.t6.t14.t5.t11.t12 (cl (! (= @p_84 (! (fun_app$c ground_resolution$ veriT_vr20) :named @p_178)) :named @p_216)) :rule cong :premises (t16.t6.t14.t5.t11.t11))
+(step t16.t6.t14.t5.t11.t13 (cl @p_210) :rule refl)
+(step t16.t6.t14.t5.t11.t14 (cl @p_211) :rule refl)
+(step t16.t6.t14.t5.t11.t15 (cl (= @p_124 (! (tranclp$ @p_178 veriT_vr19 veriT_vr18) :named @p_212))) :rule cong :premises (t16.t6.t14.t5.t11.t12 t16.t6.t14.t5.t11.t13 t16.t6.t14.t5.t11.t14))
+(anchor :step t16.t6.t14.t5.t11.t16 :args ((:= (veriT_vr10 A$) veriT_vr21)))
+(step t16.t6.t14.t5.t11.t16.t1 (cl (! (= veriT_vr10 veriT_vr21) :named @p_217)) :rule refl)
+(step t16.t6.t14.t5.t11.t16.t2 (cl @p_197) :rule refl)
+(step t16.t6.t14.t5.t11.t16.t3 (cl (= @p_128 (! (fun_app$ fset$ veriT_vr17) :named @p_214))) :rule cong :premises (t16.t6.t14.t5.t11.t16.t2))
+(step t16.t6.t14.t5.t11.t16.t4 (cl (= @p_130 (! (member$ veriT_vr21 @p_214) :named @p_215))) :rule cong :premises (t16.t6.t14.t5.t11.t16.t1 t16.t6.t14.t5.t11.t16.t3))
+(step t16.t6.t14.t5.t11.t16.t5 (cl @p_209) :rule refl)
+(step t16.t6.t14.t5.t11.t16.t6 (cl @p_216) :rule cong :premises (t16.t6.t14.t5.t11.t16.t5))
+(step t16.t6.t14.t5.t11.t16.t7 (cl @p_211) :rule refl)
+(step t16.t6.t14.t5.t11.t16.t8 (cl @p_217) :rule refl)
+(step t16.t6.t14.t5.t11.t16.t9 (cl (= @p_134 (! (rtranclp$ @p_178 veriT_vr18 veriT_vr21) :named @p_218))) :rule cong :premises (t16.t6.t14.t5.t11.t16.t6 t16.t6.t14.t5.t11.t16.t7 t16.t6.t14.t5.t11.t16.t8))
+(step t16.t6.t14.t5.t11.t16.t10 (cl (= @p_136 (! (and @p_215 @p_218) :named @p_219))) :rule cong :premises (t16.t6.t14.t5.t11.t16.t4 t16.t6.t14.t5.t11.t16.t9))
+(step t16.t6.t14.t5.t11.t16 (cl (= @p_126 (! (exists ((veriT_vr21 A$)) @p_219) :named @p_213))) :rule bind)
+(step t16.t6.t14.t5.t11.t17 (cl (= @p_137 (! (and @p_212 @p_213) :named @p_220))) :rule cong :premises (t16.t6.t14.t5.t11.t15 t16.t6.t14.t5.t11.t16))
+(step t16.t6.t14.t5.t11.t18 (cl @p_188) :rule refl)
+(step t16.t6.t14.t5.t11.t19 (cl (= @p_138 (! (fun_app$b union_fset$ veriT_vr11) :named @p_221))) :rule cong :premises (t16.t6.t14.t5.t11.t18))
+(step t16.t6.t14.t5.t11.t20 (cl @p_192) :rule refl)
+(step t16.t6.t14.t5.t11.t21 (cl (= @p_140 (! (fun_app$b union_fset$ veriT_vr15) :named @p_222))) :rule cong :premises (t16.t6.t14.t5.t11.t20))
+(step t16.t6.t14.t5.t11.t22 (cl @p_185) :rule refl)
+(step t16.t6.t14.t5.t11.t23 (cl (= @p_141 (! (fun_app$a @p_222 veriT_vr16) :named @p_223))) :rule cong :premises (t16.t6.t14.t5.t11.t21 t16.t6.t14.t5.t11.t22))
+(step t16.t6.t14.t5.t11.t24 (cl (= @p_142 (! (fun_app$a @p_221 @p_223) :named @p_224))) :rule cong :premises (t16.t6.t14.t5.t11.t19 t16.t6.t14.t5.t11.t23))
+(step t16.t6.t14.t5.t11.t25 (cl (= @p_143 (! (fun_app$e is_least_false_clause$ @p_224) :named @p_225))) :rule cong :premises (t16.t6.t14.t5.t11.t24))
+(step t16.t6.t14.t5.t11.t26 (cl @p_211) :rule refl)
+(step t16.t6.t14.t5.t11.t27 (cl (= @p_144 (! (fun_app$d @p_225 veriT_vr18) :named @p_226))) :rule cong :premises (t16.t6.t14.t5.t11.t25 t16.t6.t14.t5.t11.t26))
+(step t16.t6.t14.t5.t11.t28 (cl (= @p_145 (! (or @p_220 @p_226) :named @p_227))) :rule cong :premises (t16.t6.t14.t5.t11.t17 t16.t6.t14.t5.t11.t27))
+(step t16.t6.t14.t5.t11.t29 (cl (= @p_146 (! (and @p_208 @p_227) :named @p_228))) :rule cong :premises (t16.t6.t14.t5.t11.t10 t16.t6.t14.t5.t11.t28))
+(step t16.t6.t14.t5.t11 (cl (= @p_113 (! (exists ((veriT_vr20 A$)) @p_228) :named @p_202))) :rule bind)
+(step t16.t6.t14.t5.t12 (cl (= @p_147 (! (and @p_201 @p_202) :named @p_229))) :rule cong :premises (t16.t6.t14.t5.t10 t16.t6.t14.t5.t11))
+(step t16.t6.t14.t5 (cl (= @p_106 (! (exists ((veriT_vr19 A$)) @p_229) :named @p_195))) :rule bind)
+(step t16.t6.t14.t6 (cl (= @p_148 (! (=> @p_194 @p_195) :named @p_230))) :rule cong :premises (t16.t6.t14.t4 t16.t6.t14.t5))
+(step t16.t6.t14 (cl (= @p_101 (! (forall ((veriT_vr18 A$)) @p_230) :named @p_191))) :rule bind)
+(step t16.t6.t15 (cl (= @p_169 (! (and @p_183 @p_187 @p_190 @p_191) :named @p_231))) :rule cong :premises (t16.t6.t5 t16.t6.t10 t16.t6.t13 t16.t6.t14))
+(step t16.t6.t16 (cl (= @p_171 (! (not @p_231) :named @p_232))) :rule cong :premises (t16.t6.t15))
+(step t16.t6 (cl (= @p_167 (! (forall ((veriT_vr15 Afset$) (veriT_vr16 Afset$) (veriT_vr17 Afset$)) @p_232) :named @p_180))) :rule bind)
+(step t16.t7 (cl (= @p_172 (! (and @p_179 @p_180) :named @p_233))) :rule cong :premises (t16.t5 t16.t6))
+(step t16.t8 (cl (= @p_174 (! (not @p_233) :named @p_234))) :rule cong :premises (t16.t7))
+(step t16 (cl (! (= @p_176 (! (forall ((veriT_vr11 Afset$) (veriT_vr12 Afset_afset_prod$) (veriT_vr13 Afset$) (veriT_vr14 Afset_afset_prod$)) @p_234) :named @p_236)) :named @p_235)) :rule bind)
+(step t17 (cl (not @p_235) (not @p_176) @p_236) :rule equiv_pos2)
+(step t18 (cl @p_236) :rule th_resolution :premises (t15 t16 t17))
+(anchor :step t19 :args ((?v1 Afset$) (?v2 Afset$) (?v3 Afset$) (:= (?v0 Afset$) const2$)))
+(step t19.t1 (cl @p_246) :rule refl)
+(step t19.t2 (cl (= @p_246 (! (= const2$ const2$) :named @p_247))) :rule cong :premises (t19.t1))
+(step t19.t3 (cl @p_246) :rule refl)
+(step t19.t4 (cl (= @p_248 @p_249)) :rule cong :premises (t19.t3))
+(anchor :step t19.t5 :args ((?v4 A$)))
+(anchor :step t19.t5.t1 :args ((?v5 A$)))
+(step t19.t5.t1.t1 (cl @p_246) :rule refl)
+(step t19.t5.t1.t2 (cl (! (= @p_5 @p_244) :named @p_260)) :rule cong :premises (t19.t5.t1.t1))
+(step t19.t5.t1.t3 (cl (! (= @p_254 (! (fun_app$a @p_244 @p_241) :named @p_255)) :named @p_261)) :rule cong :premises (t19.t5.t1.t2))
+(step t19.t5.t1.t4 (cl (! (= @p_3 (! (fun_app$ fset$ @p_255) :named @p_242)) :named @p_262)) :rule cong :premises (t19.t5.t1.t3))
+(step t19.t5.t1.t5 (cl (= @p_256 (! (member$ ?v5 @p_242) :named @p_257))) :rule cong :premises (t19.t5.t1.t4))
+(anchor :step t19.t5.t1.t6 :args ((?v6 A$)))
+(step t19.t5.t1.t6.t1 (cl @p_246) :rule refl)
+(step t19.t5.t1.t6.t2 (cl @p_260) :rule cong :premises (t19.t5.t1.t6.t1))
+(step t19.t5.t1.t6.t3 (cl @p_261) :rule cong :premises (t19.t5.t1.t6.t2))
+(step t19.t5.t1.t6.t4 (cl @p_262) :rule cong :premises (t19.t5.t1.t6.t3))
+(step t19.t5.t1.t6.t5 (cl (= @p_263 (! (member$ ?v6 @p_242) :named @p_264))) :rule cong :premises (t19.t5.t1.t6.t4))
+(step t19.t5.t1.t6.t6 (cl @p_246) :rule refl)
+(step t19.t5.t1.t6.t7 (cl @p_260) :rule cong :premises (t19.t5.t1.t6.t6))
+(step t19.t5.t1.t6.t8 (cl (= @p_265 (! (fun_app$a @p_244 @p_245) :named @p_266))) :rule cong :premises (t19.t5.t1.t6.t7))
+(step t19.t5.t1.t6.t9 (cl (= @p_267 (! (fun_app$e is_least_false_clause$ @p_266) :named @p_268))) :rule cong :premises (t19.t5.t1.t6.t8))
+(step t19.t5.t1.t6.t10 (cl (= @p_269 (! (fun_app$d @p_268 ?v4) :named @p_270))) :rule cong :premises (t19.t5.t1.t6.t9))
+(step t19.t5.t1.t6.t11 (cl (= @p_271 (! (or @p_243 @p_270) :named @p_272))) :rule cong :premises (t19.t5.t1.t6.t10))
+(step t19.t5.t1.t6.t12 (cl (= @p_273 (! (and @p_264 @p_272) :named @p_274))) :rule cong :premises (t19.t5.t1.t6.t5 t19.t5.t1.t6.t11))
+(step t19.t5.t1.t6 (cl (= @p_258 (! (exists ((?v6 A$)) @p_274) :named @p_259))) :rule bind)
+(step t19.t5.t1.t7 (cl (= @p_275 (! (and @p_257 @p_259) :named @p_276))) :rule cong :premises (t19.t5.t1.t5 t19.t5.t1.t6))
+(step t19.t5.t1 (cl (= @p_252 (! (exists ((?v5 A$)) @p_276) :named @p_253))) :rule bind)
+(step t19.t5.t2 (cl (= @p_277 (! (=> @p_240 @p_253) :named @p_278))) :rule cong :premises (t19.t5.t1))
+(step t19.t5 (cl (= @p_250 (! (forall ((?v4 A$)) @p_278) :named @p_251))) :rule bind)
+(step t19.t6 (cl (= @p_279 (! (and @p_239 @p_251) :named @p_280))) :rule cong :premises (t19.t5))
+(step t19.t7 (cl (= @p_281 (! (and @p_238 @p_280) :named @p_282))) :rule cong :premises (t19.t6))
+(step t19.t8 (cl (= @p_283 (! (and @p_249 @p_282) :named @p_284))) :rule cong :premises (t19.t4 t19.t7))
+(step t19.t9 (cl (= @p_285 (! (and @p_247 @p_284) :named @p_286))) :rule cong :premises (t19.t2 t19.t8))
+(step t19.t10 (cl (= @p_287 (! (=> @p_286 thesis$) :named @p_288))) :rule cong :premises (t19.t9))
+(step t19 (cl (= @p_237 (! (forall ((?v1 Afset$) (?v2 Afset$) (?v3 Afset$)) @p_288) :named @p_290))) :rule onepoint)
+(step t20 (cl (= @p_289 (! (=> @p_290 thesis$) :named @p_292))) :rule cong :premises (t19))
+(step t21 (cl (! (= @p_291 (! (not @p_292) :named @p_294)) :named @p_293)) :rule cong :premises (t20))
+(step t22 (cl (! (not @p_293) :named @p_296) (! (not @p_291) :named @p_295) @p_294) :rule equiv_pos2)
+(step t23 (cl (not @p_295) @p_289) :rule not_not)
+(step t24 (cl @p_296 @p_289 @p_294) :rule th_resolution :premises (t23 t22))
+(step t25 (cl @p_294) :rule th_resolution :premises (a2 t21 t24))
+(anchor :step t26 :args ((:= (?v1 Afset$) veriT_vr22) (:= (?v2 Afset$) veriT_vr23) (:= (?v3 Afset$) veriT_vr24)))
+(step t26.t1 (cl (! (= ?v1 veriT_vr22) :named @p_307)) :rule refl)
+(step t26.t2 (cl (! (= ?v2 veriT_vr23) :named @p_302)) :rule refl)
+(step t26.t3 (cl (= @p_299 (! (pair$ veriT_vr22 veriT_vr23) :named @p_300))) :rule cong :premises (t26.t1 t26.t2))
+(step t26.t4 (cl (= @p_238 (! (= s2$ @p_300) :named @p_301))) :rule cong :premises (t26.t3))
+(step t26.t5 (cl (! (= ?v3 veriT_vr24) :named @p_312)) :rule refl)
+(step t26.t6 (cl @p_302) :rule refl)
+(step t26.t7 (cl (= @p_303 (! (pair$ veriT_vr24 veriT_vr23) :named @p_304))) :rule cong :premises (t26.t5 t26.t6))
+(step t26.t8 (cl (= @p_239 (! (= s3$ @p_304) :named @p_305))) :rule cong :premises (t26.t7))
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+(anchor :step t26.t9.t5 :args ((:= (?v5 A$) veriT_vr26)))
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+(anchor :step t26.t9.t5.t9 :args ((:= (?v6 A$) veriT_vr27)))
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+(step t26.t9.t5.t9.t24 (cl (= @p_272 (! (or @p_341 @p_347) :named @p_348))) :rule cong :premises (t26.t9.t5.t9.t15 t26.t9.t5.t9.t23))
+(step t26.t9.t5.t9.t25 (cl (= @p_274 (! (and @p_323 @p_348) :named @p_349))) :rule cong :premises (t26.t9.t5.t9.t8 t26.t9.t5.t9.t24))
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+(anchor :step t46.t9.t5.t9.t14 :args ((:= (veriT_vr28 A$) veriT_vr35)))
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+(step t46.t9.t5.t9.t14.t5 (cl @p_402) :rule refl)
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+(step t46.t9.t5.t9.t14.t10 (cl (= @p_340 (! (and @p_408 @p_411) :named @p_412))) :rule cong :premises (t46.t9.t5.t9.t14.t4 t46.t9.t5.t9.t14.t9))
+(step t46.t9.t5.t9.t14 (cl (= @p_330 (! (exists ((veriT_vr35 A$)) @p_412) :named @p_406))) :rule bind)
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+(step t46.t9.t5.t9.t16 (cl @p_387) :rule refl)
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+(step t46.t9.t5.t9.t18 (cl @p_383) :rule refl)
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+(step t46.t9.t5.t9.t20 (cl (= @p_345 (! (fun_app$a @p_244 @p_415) :named @p_416))) :rule cong :premises (t46.t9.t5.t9.t19))
+(step t46.t9.t5.t9.t21 (cl (= @p_346 (! (fun_app$e is_least_false_clause$ @p_416) :named @p_417))) :rule cong :premises (t46.t9.t5.t9.t20))
+(step t46.t9.t5.t9.t22 (cl @p_404) :rule refl)
+(step t46.t9.t5.t9.t23 (cl (= @p_347 (! (fun_app$d @p_417 veriT_vr32) :named @p_418))) :rule cong :premises (t46.t9.t5.t9.t21 t46.t9.t5.t9.t22))
+(step t46.t9.t5.t9.t24 (cl (= @p_348 (! (or @p_413 @p_418) :named @p_419))) :rule cong :premises (t46.t9.t5.t9.t15 t46.t9.t5.t9.t23))
+(step t46.t9.t5.t9.t25 (cl (= @p_349 (! (and @p_401 @p_419) :named @p_420))) :rule cong :premises (t46.t9.t5.t9.t8 t46.t9.t5.t9.t24))
+(step t46.t9.t5.t9 (cl (= @p_318 (! (exists ((veriT_vr34 A$)) @p_420) :named @p_396))) :rule bind)
+(step t46.t9.t5.t10 (cl (= @p_350 (! (and @p_395 @p_396) :named @p_421))) :rule cong :premises (t46.t9.t5.t8 t46.t9.t5.t9))
+(step t46.t9.t5 (cl (= @p_311 (! (exists ((veriT_vr33 A$)) @p_421) :named @p_390))) :rule bind)
+(step t46.t9.t6 (cl (= @p_351 (! (=> @p_389 @p_390) :named @p_422))) :rule cong :premises (t46.t9.t4 t46.t9.t5))
+(step t46.t9 (cl (= @p_306 (! (forall ((veriT_vr32 A$)) @p_422) :named @p_386))) :rule bind)
+(step t46.t10 (cl (= @p_374 (! (and @p_249 @p_382 @p_385 @p_386) :named @p_423))) :rule cong :premises (t46.t4 t46.t8 t46.t9))
+(step t46.t11 (cl (= @p_375 (! (=> @p_423 thesis$) :named @p_424))) :rule cong :premises (t46.t10))
+(step t46 (cl (= @p_376 (! (forall ((veriT_vr29 Afset$) (veriT_vr30 Afset$) (veriT_vr31 Afset$)) @p_424) :named @p_425))) :rule bind)
+(step t47 (cl (! (= @p_378 (! (and @p_425 @p_370) :named @p_427)) :named @p_426)) :rule cong :premises (t46))
+(step t48 (cl (not @p_426) (not @p_378) @p_427) :rule equiv_pos2)
+(step t49 (cl @p_427) :rule th_resolution :premises (t45 t47 t48))
+(anchor :step t50 :args ((veriT_vr29 Afset$) (veriT_vr30 Afset$) (veriT_vr31 Afset$)))
+(anchor :step t50.t1 :args ((veriT_vr32 A$)))
+(anchor :step t50.t1.t1 :args ((veriT_vr33 A$)))
+(anchor :step t50.t1.t1.t1 :args ((veriT_vr34 A$)))
+(step t50.t1.t1.t1.t1 (cl (= @p_406 (! (not (forall ((veriT_vr35 A$)) (not @p_412))) :named @p_431))) :rule connective_def)
+(step t50.t1.t1.t1.t2 (cl (= @p_413 (! (and @p_405 @p_431) :named @p_432))) :rule cong :premises (t50.t1.t1.t1.t1))
+(step t50.t1.t1.t1.t3 (cl (= @p_419 (! (or @p_432 @p_418) :named @p_433))) :rule cong :premises (t50.t1.t1.t1.t2))
+(step t50.t1.t1.t1.t4 (cl (= @p_420 (! (and @p_401 @p_433) :named @p_430))) :rule cong :premises (t50.t1.t1.t1.t3))
+(step t50.t1.t1.t1 (cl (= @p_396 (! (exists ((veriT_vr34 A$)) @p_430) :named @p_434))) :rule bind)
+(step t50.t1.t1.t2 (cl (= @p_434 (! (not (forall ((veriT_vr34 A$)) (not @p_430))) :named @p_435))) :rule connective_def)
+(step t50.t1.t1.t3 (cl (= @p_396 @p_435)) :rule trans :premises (t50.t1.t1.t1 t50.t1.t1.t2))
+(step t50.t1.t1.t4 (cl (= @p_421 (! (and @p_395 @p_435) :named @p_429))) :rule cong :premises (t50.t1.t1.t3))
+(step t50.t1.t1 (cl (= @p_390 (! (exists ((veriT_vr33 A$)) @p_429) :named @p_436))) :rule bind)
+(step t50.t1.t2 (cl (= @p_436 (! (not (forall ((veriT_vr33 A$)) (not @p_429))) :named @p_437))) :rule connective_def)
+(step t50.t1.t3 (cl (= @p_390 @p_437)) :rule trans :premises (t50.t1.t1 t50.t1.t2))
+(step t50.t1.t4 (cl (= @p_422 (! (=> @p_389 @p_437) :named @p_438))) :rule cong :premises (t50.t1.t3))
+(step t50.t1 (cl (= @p_386 (! (forall ((veriT_vr32 A$)) @p_438) :named @p_428))) :rule bind)
+(step t50.t2 (cl (= @p_423 (! (and @p_249 @p_382 @p_385 @p_428) :named @p_439))) :rule cong :premises (t50.t1))
+(step t50.t3 (cl (= @p_424 (! (=> @p_439 thesis$) :named @p_440))) :rule cong :premises (t50.t2))
+(step t50 (cl (= @p_425 (! (forall ((veriT_vr29 Afset$) (veriT_vr30 Afset$) (veriT_vr31 Afset$)) @p_440) :named @p_441))) :rule bind)
+(step t51 (cl (! (= @p_427 (! (and @p_441 @p_370) :named @p_443)) :named @p_442)) :rule cong :premises (t50))
+(step t52 (cl (not @p_442) (not @p_427) @p_443) :rule equiv_pos2)
+(step t53 (cl @p_443) :rule th_resolution :premises (t49 t51 t52))
+(step t54 (cl @p_441) :rule and :premises (t53))
+(step t55 (cl @p_370) :rule and :premises (t53))
+(step t56 (cl (or (! (not @p_236) :named @p_651) (! (not (! (and @p_444 (! (forall ((veriT_vr15 Afset$) (veriT_vr16 Afset$) (veriT_vr17 Afset$)) (! (not (! (and (! (= s2$ @p_182) :named @p_467) (! (= s3$ @p_186) :named @p_471) @p_249 (! (forall ((veriT_vr18 A$)) (! (=> @p_194 (! (exists ((veriT_vr19 A$)) (! (and (! (member$ veriT_vr19 (! (fun_app$ fset$ (! (fun_app$a @p_447 @p_199) :named @p_483)) :named @p_445)) :named @p_485) (! (exists ((veriT_vr20 A$)) (! (and (! (member$ veriT_vr20 @p_445) :named @p_493) (! (or @p_220 (! (fun_app$d (! (fun_app$e is_least_false_clause$ (! (fun_app$a @p_244 @p_223) :named @p_509)) :named @p_511) veriT_vr18) :named @p_513)) :named @p_515)) :named @p_517)) :named @p_487)) :named @p_519)) :named @p_478)) :named @p_521)) :named @p_473)) :named @p_523)) :named @p_525)) :named @p_463)) :named @p_527)) :named @p_446))) :rule forall_inst :args ((:= veriT_vr11 const2$) (:= veriT_vr12 s2$) (:= veriT_vr13 const3$) (:= veriT_vr14 s3$)))
+(anchor :step t57)
+(assume t57.h1 @p_446)
+(anchor :step t57.t2 :args ((:= (veriT_vr15 Afset$) veriT_vr36) (:= (veriT_vr16 Afset$) veriT_vr37) (:= (veriT_vr17 Afset$) veriT_vr38)))
+(step t57.t2.t1 (cl (! (= veriT_vr15 veriT_vr36) :named @p_475)) :rule refl)
+(step t57.t2.t2 (cl (! (= veriT_vr16 veriT_vr37) :named @p_469)) :rule refl)
+(step t57.t2.t3 (cl (= @p_182 (! (pair$ veriT_vr36 veriT_vr37) :named @p_466))) :rule cong :premises (t57.t2.t1 t57.t2.t2))
+(step t57.t2.t4 (cl (= @p_467 (! (= s2$ @p_466) :named @p_468))) :rule cong :premises (t57.t2.t3))
+(step t57.t2.t5 (cl (! (= veriT_vr17 veriT_vr38) :named @p_480)) :rule refl)
+(step t57.t2.t6 (cl @p_469) :rule refl)
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+(step t57.t2.t8 (cl (= @p_471 (! (= s3$ @p_470) :named @p_472))) :rule cong :premises (t57.t2.t7))
+(anchor :step t57.t2.t9 :args ((:= (veriT_vr18 A$) veriT_vr39)))
+(step t57.t2.t9.t1 (cl (! (= veriT_vr18 veriT_vr39) :named @p_497)) :rule refl)
+(step t57.t2.t9.t2 (cl @p_475) :rule refl)
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+(step t57.t2.t9.t4 (cl (= @p_194 (! (member$ veriT_vr39 @p_476) :named @p_477))) :rule cong :premises (t57.t2.t9.t1 t57.t2.t9.t3))
+(anchor :step t57.t2.t9.t5 :args ((:= (veriT_vr19 A$) veriT_vr40)))
+(step t57.t2.t9.t5.t1 (cl (! (= veriT_vr19 veriT_vr40) :named @p_496)) :rule refl)
+(step t57.t2.t9.t5.t2 (cl @p_480) :rule refl)
+(step t57.t2.t9.t5.t3 (cl (! (= @p_198 (! (fun_app$b union_fset$ veriT_vr38) :named @p_481)) :named @p_489)) :rule cong :premises (t57.t2.t9.t5.t2))
+(step t57.t2.t9.t5.t4 (cl @p_469) :rule refl)
+(step t57.t2.t9.t5.t5 (cl (! (= @p_199 (! (fun_app$a @p_481 veriT_vr37) :named @p_482)) :named @p_490)) :rule cong :premises (t57.t2.t9.t5.t3 t57.t2.t9.t5.t4))
+(step t57.t2.t9.t5.t6 (cl (! (= @p_483 (! (fun_app$a @p_447 @p_482) :named @p_484)) :named @p_491)) :rule cong :premises (t57.t2.t9.t5.t5))
+(step t57.t2.t9.t5.t7 (cl (! (= @p_445 (! (fun_app$ fset$ @p_484) :named @p_464)) :named @p_492)) :rule cong :premises (t57.t2.t9.t5.t6))
+(step t57.t2.t9.t5.t8 (cl (= @p_485 (! (member$ veriT_vr40 @p_464) :named @p_486))) :rule cong :premises (t57.t2.t9.t5.t1 t57.t2.t9.t5.t7))
+(anchor :step t57.t2.t9.t5.t9 :args ((:= (veriT_vr20 A$) veriT_vr41)))
+(step t57.t2.t9.t5.t9.t1 (cl (! (= veriT_vr20 veriT_vr41) :named @p_495)) :rule refl)
+(step t57.t2.t9.t5.t9.t2 (cl @p_480) :rule refl)
+(step t57.t2.t9.t5.t9.t3 (cl @p_489) :rule cong :premises (t57.t2.t9.t5.t9.t2))
+(step t57.t2.t9.t5.t9.t4 (cl @p_469) :rule refl)
+(step t57.t2.t9.t5.t9.t5 (cl @p_490) :rule cong :premises (t57.t2.t9.t5.t9.t3 t57.t2.t9.t5.t9.t4))
+(step t57.t2.t9.t5.t9.t6 (cl @p_491) :rule cong :premises (t57.t2.t9.t5.t9.t5))
+(step t57.t2.t9.t5.t9.t7 (cl @p_492) :rule cong :premises (t57.t2.t9.t5.t9.t6))
+(step t57.t2.t9.t5.t9.t8 (cl (= @p_493 (! (member$ veriT_vr41 @p_464) :named @p_494))) :rule cong :premises (t57.t2.t9.t5.t9.t1 t57.t2.t9.t5.t9.t7))
+(step t57.t2.t9.t5.t9.t9 (cl @p_495) :rule refl)
+(step t57.t2.t9.t5.t9.t10 (cl (! (= @p_178 (! (fun_app$c ground_resolution$ veriT_vr41) :named @p_465)) :named @p_502)) :rule cong :premises (t57.t2.t9.t5.t9.t9))
+(step t57.t2.t9.t5.t9.t11 (cl @p_496) :rule refl)
+(step t57.t2.t9.t5.t9.t12 (cl @p_497) :rule refl)
+(step t57.t2.t9.t5.t9.t13 (cl (= @p_212 (! (tranclp$ @p_465 veriT_vr40 veriT_vr39) :named @p_498))) :rule cong :premises (t57.t2.t9.t5.t9.t10 t57.t2.t9.t5.t9.t11 t57.t2.t9.t5.t9.t12))
+(anchor :step t57.t2.t9.t5.t9.t14 :args ((:= (veriT_vr21 A$) veriT_vr42)))
+(step t57.t2.t9.t5.t9.t14.t1 (cl (! (= veriT_vr21 veriT_vr42) :named @p_503)) :rule refl)
+(step t57.t2.t9.t5.t9.t14.t2 (cl @p_480) :rule refl)
+(step t57.t2.t9.t5.t9.t14.t3 (cl (= @p_214 (! (fun_app$ fset$ veriT_vr38) :named @p_500))) :rule cong :premises (t57.t2.t9.t5.t9.t14.t2))
+(step t57.t2.t9.t5.t9.t14.t4 (cl (= @p_215 (! (member$ veriT_vr42 @p_500) :named @p_501))) :rule cong :premises (t57.t2.t9.t5.t9.t14.t1 t57.t2.t9.t5.t9.t14.t3))
+(step t57.t2.t9.t5.t9.t14.t5 (cl @p_495) :rule refl)
+(step t57.t2.t9.t5.t9.t14.t6 (cl @p_502) :rule cong :premises (t57.t2.t9.t5.t9.t14.t5))
+(step t57.t2.t9.t5.t9.t14.t7 (cl @p_497) :rule refl)
+(step t57.t2.t9.t5.t9.t14.t8 (cl @p_503) :rule refl)
+(step t57.t2.t9.t5.t9.t14.t9 (cl (= @p_218 (! (rtranclp$ @p_465 veriT_vr39 veriT_vr42) :named @p_504))) :rule cong :premises (t57.t2.t9.t5.t9.t14.t6 t57.t2.t9.t5.t9.t14.t7 t57.t2.t9.t5.t9.t14.t8))
+(step t57.t2.t9.t5.t9.t14.t10 (cl (= @p_219 (! (and @p_501 @p_504) :named @p_505))) :rule cong :premises (t57.t2.t9.t5.t9.t14.t4 t57.t2.t9.t5.t9.t14.t9))
+(step t57.t2.t9.t5.t9.t14 (cl (= @p_213 (! (exists ((veriT_vr42 A$)) @p_505) :named @p_499))) :rule bind)
+(step t57.t2.t9.t5.t9.t15 (cl (= @p_220 (! (and @p_498 @p_499) :named @p_506))) :rule cong :premises (t57.t2.t9.t5.t9.t13 t57.t2.t9.t5.t9.t14))
+(step t57.t2.t9.t5.t9.t16 (cl @p_475) :rule refl)
+(step t57.t2.t9.t5.t9.t17 (cl (= @p_222 (! (fun_app$b union_fset$ veriT_vr36) :named @p_507))) :rule cong :premises (t57.t2.t9.t5.t9.t16))
+(step t57.t2.t9.t5.t9.t18 (cl @p_469) :rule refl)
+(step t57.t2.t9.t5.t9.t19 (cl (= @p_223 (! (fun_app$a @p_507 veriT_vr37) :named @p_508))) :rule cong :premises (t57.t2.t9.t5.t9.t17 t57.t2.t9.t5.t9.t18))
+(step t57.t2.t9.t5.t9.t20 (cl (= @p_509 (! (fun_app$a @p_244 @p_508) :named @p_510))) :rule cong :premises (t57.t2.t9.t5.t9.t19))
+(step t57.t2.t9.t5.t9.t21 (cl (= @p_511 (! (fun_app$e is_least_false_clause$ @p_510) :named @p_512))) :rule cong :premises (t57.t2.t9.t5.t9.t20))
+(step t57.t2.t9.t5.t9.t22 (cl @p_497) :rule refl)
+(step t57.t2.t9.t5.t9.t23 (cl (= @p_513 (! (fun_app$d @p_512 veriT_vr39) :named @p_514))) :rule cong :premises (t57.t2.t9.t5.t9.t21 t57.t2.t9.t5.t9.t22))
+(step t57.t2.t9.t5.t9.t24 (cl (= @p_515 (! (or @p_506 @p_514) :named @p_516))) :rule cong :premises (t57.t2.t9.t5.t9.t15 t57.t2.t9.t5.t9.t23))
+(step t57.t2.t9.t5.t9.t25 (cl (= @p_517 (! (and @p_494 @p_516) :named @p_518))) :rule cong :premises (t57.t2.t9.t5.t9.t8 t57.t2.t9.t5.t9.t24))
+(step t57.t2.t9.t5.t9 (cl (= @p_487 (! (exists ((veriT_vr41 A$)) @p_518) :named @p_488))) :rule bind)
+(step t57.t2.t9.t5.t10 (cl (= @p_519 (! (and @p_486 @p_488) :named @p_520))) :rule cong :premises (t57.t2.t9.t5.t8 t57.t2.t9.t5.t9))
+(step t57.t2.t9.t5 (cl (= @p_478 (! (exists ((veriT_vr40 A$)) @p_520) :named @p_479))) :rule bind)
+(step t57.t2.t9.t6 (cl (= @p_521 (! (=> @p_477 @p_479) :named @p_522))) :rule cong :premises (t57.t2.t9.t4 t57.t2.t9.t5))
+(step t57.t2.t9 (cl (= @p_473 (! (forall ((veriT_vr39 A$)) @p_522) :named @p_474))) :rule bind)
+(step t57.t2.t10 (cl (= @p_523 (! (and @p_468 @p_472 @p_249 @p_474) :named @p_524))) :rule cong :premises (t57.t2.t4 t57.t2.t8 t57.t2.t9))
+(step t57.t2.t11 (cl (= @p_525 (! (not @p_524) :named @p_526))) :rule cong :premises (t57.t2.t10))
+(step t57.t2 (cl (= @p_463 (! (forall ((veriT_vr36 Afset$) (veriT_vr37 Afset$) (veriT_vr38 Afset$)) @p_526) :named @p_528))) :rule bind)
+(step t57.t3 (cl (= @p_527 (! (and @p_444 @p_528) :named @p_529))) :rule cong :premises (t57.t2))
+(step t57.t4 (cl (! (= @p_446 (! (not @p_529) :named @p_532)) :named @p_530)) :rule cong :premises (t57.t3))
+(step t57.t5 (cl (! (not @p_530) :named @p_533) (! (not @p_446) :named @p_531) @p_532) :rule equiv_pos2)
+(step t57.t6 (cl (! (not @p_531) :named @p_650) @p_527) :rule not_not)
+(step t57.t7 (cl @p_533 @p_527 @p_532) :rule th_resolution :premises (t57.t6 t57.t5))
+(step t57.t8 (cl @p_532) :rule th_resolution :premises (t57.h1 t57.t4 t57.t7))
+(anchor :step t57.t9 :args ((:= (veriT_vr36 Afset$) veriT_vr43) (:= (veriT_vr37 Afset$) veriT_vr44) (:= (veriT_vr38 Afset$) veriT_vr45)))
+(step t57.t9.t1 (cl (! (= veriT_vr36 veriT_vr43) :named @p_540)) :rule refl)
+(step t57.t9.t2 (cl (! (= veriT_vr37 veriT_vr44) :named @p_537)) :rule refl)
+(step t57.t9.t3 (cl (= @p_466 @p_535)) :rule cong :premises (t57.t9.t1 t57.t9.t2))
+(step t57.t9.t4 (cl (= @p_468 @p_536)) :rule cong :premises (t57.t9.t3))
+(step t57.t9.t5 (cl (! (= veriT_vr38 veriT_vr45) :named @p_544)) :rule refl)
+(step t57.t9.t6 (cl @p_537) :rule refl)
+(step t57.t9.t7 (cl (= @p_470 @p_538)) :rule cong :premises (t57.t9.t5 t57.t9.t6))
+(step t57.t9.t8 (cl (= @p_472 @p_451)) :rule cong :premises (t57.t9.t7))
+(anchor :step t57.t9.t9 :args ((:= (veriT_vr39 A$) veriT_vr46)))
+(step t57.t9.t9.t1 (cl (! (= veriT_vr39 veriT_vr46) :named @p_554)) :rule refl)
+(step t57.t9.t9.t2 (cl @p_540) :rule refl)
+(step t57.t9.t9.t3 (cl (= @p_476 @p_541)) :rule cong :premises (t57.t9.t9.t2))
+(step t57.t9.t9.t4 (cl (= @p_477 @p_542)) :rule cong :premises (t57.t9.t9.t1 t57.t9.t9.t3))
+(anchor :step t57.t9.t9.t5 :args ((:= (veriT_vr40 A$) veriT_vr47)))
+(step t57.t9.t9.t5.t1 (cl (! (= veriT_vr40 veriT_vr47) :named @p_553)) :rule refl)
+(step t57.t9.t9.t5.t2 (cl @p_544) :rule refl)
+(step t57.t9.t9.t5.t3 (cl (! (= @p_481 @p_457) :named @p_548)) :rule cong :premises (t57.t9.t9.t5.t2))
+(step t57.t9.t9.t5.t4 (cl @p_537) :rule refl)
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+(step t57.t9.t9.t5.t6 (cl (! (= @p_484 @p_546) :named @p_550)) :rule cong :premises (t57.t9.t9.t5.t5))
+(step t57.t9.t9.t5.t7 (cl (! (= @p_464 @p_448) :named @p_551)) :rule cong :premises (t57.t9.t9.t5.t6))
+(step t57.t9.t9.t5.t8 (cl (= @p_486 @p_452)) :rule cong :premises (t57.t9.t9.t5.t1 t57.t9.t9.t5.t7))
+(anchor :step t57.t9.t9.t5.t9 :args ((:= (veriT_vr41 A$) veriT_vr48)))
+(step t57.t9.t9.t5.t9.t1 (cl (! (= veriT_vr41 veriT_vr48) :named @p_552)) :rule refl)
+(step t57.t9.t9.t5.t9.t2 (cl @p_544) :rule refl)
+(step t57.t9.t9.t5.t9.t3 (cl @p_548) :rule cong :premises (t57.t9.t9.t5.t9.t2))
+(step t57.t9.t9.t5.t9.t4 (cl @p_537) :rule refl)
+(step t57.t9.t9.t5.t9.t5 (cl @p_549) :rule cong :premises (t57.t9.t9.t5.t9.t3 t57.t9.t9.t5.t9.t4))
+(step t57.t9.t9.t5.t9.t6 (cl @p_550) :rule cong :premises (t57.t9.t9.t5.t9.t5))
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+(step t65 (cl (not @p_654) @p_645) :rule not_not)
+(step t66 (cl @p_653 @p_645) :rule th_resolution :premises (t65 t64))
+(step t67 (cl @p_653) :rule th_resolution :premises (t60 t59 t63 t66))
+(step t68 (cl @p_644 @p_579) :rule and_pos)
+(step t69 (cl @p_644 @p_580) :rule and_pos)
+(step t70 (cl @p_644 @p_249) :rule and_pos)
+(step t71 (cl @p_644 @p_621) :rule and_pos)
+(step t72 (cl @p_645 (! (not @p_444) :named @p_656) (! (not @p_644) :named @p_655)) :rule and_neg)
+(step t73 (cl (not @p_655) @p_643) :rule not_not)
+(step t74 (cl @p_645 @p_656 @p_643) :rule th_resolution :premises (t73 t72))
+(step t75 (cl @p_651 @p_646) :rule or :premises (t67))
+(step t76 (cl @p_645 @p_643) :rule resolution :premises (t74 a1))
+(step t77 (cl @p_646) :rule resolution :premises (t75 t18))
+(step t78 (cl @p_643) :rule resolution :premises (t76 t77))
+(step t79 (cl @p_579) :rule resolution :premises (t68 t78))
+(step t80 (cl @p_580) :rule resolution :premises (t69 t78))
+(step t81 (cl @p_249) :rule resolution :premises (t70 t78))
+(step t82 (cl @p_621) :rule resolution :premises (t71 t78))
+(step t83 (cl (not (! (not (! (not @p_441) :named @p_657)) :named @p_799)) @p_441) :rule not_not)
+(step t84 (cl (or @p_657 (! (=> (! (and @p_249 @p_579 @p_580 (! (forall ((veriT_vr32 A$)) (! (=> (! (member$ veriT_vr32 @p_581) :named @p_665) (! (not (! (forall ((veriT_vr33 A$)) (! (not (! (and (! (member$ veriT_vr33 @p_658) :named @p_669) (! (not (! (forall ((veriT_vr34 A$)) (! (not (! (and (! (member$ veriT_vr34 @p_658) :named @p_673) (! (or (! (and @p_405 (! (not (! (forall ((veriT_vr35 A$)) (! (not (! (and (! (member$ veriT_vr35 @p_582) :named @p_681) @p_411) :named @p_686)) :named @p_688)) :named @p_679)) :named @p_690)) :named @p_692) (! (fun_app$d @p_583 veriT_vr32) :named @p_694)) :named @p_696)) :named @p_698)) :named @p_700)) :named @p_671)) :named @p_702)) :named @p_704)) :named @p_706)) :named @p_667)) :named @p_708)) :named @p_710)) :named @p_663)) :named @p_712) thesis$) :named @p_659))) :rule forall_inst :args ((:= veriT_vr29 veriT_sk0) (:= veriT_vr30 veriT_sk1) (:= veriT_vr31 veriT_sk2)))
+(anchor :step t85)
+(assume t85.h1 @p_659)
+(anchor :step t85.t2 :args ((:= (veriT_vr32 A$) veriT_vr87)))
+(step t85.t2.t1 (cl (! (= veriT_vr32 veriT_vr87) :named @p_677)) :rule refl)
+(step t85.t2.t2 (cl (= @p_665 (! (member$ veriT_vr87 @p_581) :named @p_666))) :rule cong :premises (t85.t2.t1))
+(anchor :step t85.t2.t3 :args ((:= (veriT_vr33 A$) veriT_vr88)))
+(step t85.t2.t3.t1 (cl (! (= veriT_vr33 veriT_vr88) :named @p_676)) :rule refl)
+(step t85.t2.t3.t2 (cl (= @p_669 (! (member$ veriT_vr88 @p_658) :named @p_670))) :rule cong :premises (t85.t2.t3.t1))
+(anchor :step t85.t2.t3.t3 :args ((:= (veriT_vr34 A$) veriT_vr89)))
+(step t85.t2.t3.t3.t1 (cl (! (= veriT_vr34 veriT_vr89) :named @p_675)) :rule refl)
+(step t85.t2.t3.t3.t2 (cl (= @p_673 (! (member$ veriT_vr89 @p_658) :named @p_674))) :rule cong :premises (t85.t2.t3.t3.t1))
+(step t85.t2.t3.t3.t3 (cl @p_675) :rule refl)
+(step t85.t2.t3.t3.t4 (cl (! (= @p_380 (! (fun_app$c ground_resolution$ veriT_vr89) :named @p_664)) :named @p_683)) :rule cong :premises (t85.t2.t3.t3.t3))
+(step t85.t2.t3.t3.t5 (cl @p_676) :rule refl)
+(step t85.t2.t3.t3.t6 (cl @p_677) :rule refl)
+(step t85.t2.t3.t3.t7 (cl (= @p_405 (! (tranclp$ @p_664 veriT_vr88 veriT_vr87) :named @p_678))) :rule cong :premises (t85.t2.t3.t3.t4 t85.t2.t3.t3.t5 t85.t2.t3.t3.t6))
+(anchor :step t85.t2.t3.t3.t8 :args ((:= (veriT_vr35 A$) veriT_vr90)))
+(step t85.t2.t3.t3.t8.t1 (cl (! (= veriT_vr35 veriT_vr90) :named @p_684)) :rule refl)
+(step t85.t2.t3.t3.t8.t2 (cl (= @p_681 (! (member$ veriT_vr90 @p_582) :named @p_682))) :rule cong :premises (t85.t2.t3.t3.t8.t1))
+(step t85.t2.t3.t3.t8.t3 (cl @p_675) :rule refl)
+(step t85.t2.t3.t3.t8.t4 (cl @p_683) :rule cong :premises (t85.t2.t3.t3.t8.t3))
+(step t85.t2.t3.t3.t8.t5 (cl @p_677) :rule refl)
+(step t85.t2.t3.t3.t8.t6 (cl @p_684) :rule refl)
+(step t85.t2.t3.t3.t8.t7 (cl (= @p_411 (! (rtranclp$ @p_664 veriT_vr87 veriT_vr90) :named @p_685))) :rule cong :premises (t85.t2.t3.t3.t8.t4 t85.t2.t3.t3.t8.t5 t85.t2.t3.t3.t8.t6))
+(step t85.t2.t3.t3.t8.t8 (cl (= @p_686 (! (and @p_682 @p_685) :named @p_687))) :rule cong :premises (t85.t2.t3.t3.t8.t2 t85.t2.t3.t3.t8.t7))
+(step t85.t2.t3.t3.t8.t9 (cl (= @p_688 (! (not @p_687) :named @p_689))) :rule cong :premises (t85.t2.t3.t3.t8.t8))
+(step t85.t2.t3.t3.t8 (cl (= @p_679 (! (forall ((veriT_vr90 A$)) @p_689) :named @p_680))) :rule bind)
+(step t85.t2.t3.t3.t9 (cl (= @p_690 (! (not @p_680) :named @p_691))) :rule cong :premises (t85.t2.t3.t3.t8))
+(step t85.t2.t3.t3.t10 (cl (= @p_692 (! (and @p_678 @p_691) :named @p_693))) :rule cong :premises (t85.t2.t3.t3.t7 t85.t2.t3.t3.t9))
+(step t85.t2.t3.t3.t11 (cl @p_677) :rule refl)
+(step t85.t2.t3.t3.t12 (cl (= @p_694 (! (fun_app$d @p_583 veriT_vr87) :named @p_695))) :rule cong :premises (t85.t2.t3.t3.t11))
+(step t85.t2.t3.t3.t13 (cl (= @p_696 (! (or @p_693 @p_695) :named @p_697))) :rule cong :premises (t85.t2.t3.t3.t10 t85.t2.t3.t3.t12))
+(step t85.t2.t3.t3.t14 (cl (= @p_698 (! (and @p_674 @p_697) :named @p_699))) :rule cong :premises (t85.t2.t3.t3.t2 t85.t2.t3.t3.t13))
+(step t85.t2.t3.t3.t15 (cl (= @p_700 (! (not @p_699) :named @p_701))) :rule cong :premises (t85.t2.t3.t3.t14))
+(step t85.t2.t3.t3 (cl (= @p_671 (! (forall ((veriT_vr89 A$)) @p_701) :named @p_672))) :rule bind)
+(step t85.t2.t3.t4 (cl (= @p_702 (! (not @p_672) :named @p_703))) :rule cong :premises (t85.t2.t3.t3))
+(step t85.t2.t3.t5 (cl (= @p_704 (! (and @p_670 @p_703) :named @p_705))) :rule cong :premises (t85.t2.t3.t2 t85.t2.t3.t4))
+(step t85.t2.t3.t6 (cl (= @p_706 (! (not @p_705) :named @p_707))) :rule cong :premises (t85.t2.t3.t5))
+(step t85.t2.t3 (cl (= @p_667 (! (forall ((veriT_vr88 A$)) @p_707) :named @p_668))) :rule bind)
+(step t85.t2.t4 (cl (= @p_708 (! (not @p_668) :named @p_709))) :rule cong :premises (t85.t2.t3))
+(step t85.t2.t5 (cl (= @p_710 (! (=> @p_666 @p_709) :named @p_711))) :rule cong :premises (t85.t2.t2 t85.t2.t4))
+(step t85.t2 (cl (= @p_663 (! (forall ((veriT_vr87 A$)) @p_711) :named @p_713))) :rule bind)
+(step t85.t3 (cl (= @p_712 (! (and @p_249 @p_579 @p_580 @p_713) :named @p_714))) :rule cong :premises (t85.t2))
+(step t85.t4 (cl (! (= @p_659 (! (=> @p_714 thesis$) :named @p_717)) :named @p_715)) :rule cong :premises (t85.t3))
+(step t85.t5 (cl (not @p_715) (! (not @p_659) :named @p_716) @p_717) :rule equiv_pos2)
+(step t85.t6 (cl @p_717) :rule th_resolution :premises (t85.h1 t85.t4 t85.t5))
+(anchor :step t85.t7 :args ((:= (veriT_vr87 A$) veriT_vr91)))
+(step t85.t7.t1 (cl (! (= veriT_vr87 veriT_vr91) :named @p_726)) :rule refl)
+(step t85.t7.t2 (cl (= @p_666 @p_719)) :rule cong :premises (t85.t7.t1))
+(anchor :step t85.t7.t3 :args ((:= (veriT_vr88 A$) veriT_vr92)))
+(step t85.t7.t3.t1 (cl (! (= veriT_vr88 veriT_vr92) :named @p_725)) :rule refl)
+(step t85.t7.t3.t2 (cl (= @p_670 @p_721)) :rule cong :premises (t85.t7.t3.t1))
+(anchor :step t85.t7.t3.t3 :args ((:= (veriT_vr89 A$) veriT_vr93)))
+(step t85.t7.t3.t3.t1 (cl (! (= veriT_vr89 veriT_vr93) :named @p_724)) :rule refl)
+(step t85.t7.t3.t3.t2 (cl (= @p_674 @p_723)) :rule cong :premises (t85.t7.t3.t3.t1))
+(step t85.t7.t3.t3.t3 (cl @p_724) :rule refl)
+(step t85.t7.t3.t3.t4 (cl (! (= @p_664 @p_660) :named @p_730)) :rule cong :premises (t85.t7.t3.t3.t3))
+(step t85.t7.t3.t3.t5 (cl @p_725) :rule refl)
+(step t85.t7.t3.t3.t6 (cl @p_726) :rule refl)
+(step t85.t7.t3.t3.t7 (cl (= @p_678 @p_727)) :rule cong :premises (t85.t7.t3.t3.t4 t85.t7.t3.t3.t5 t85.t7.t3.t3.t6))
+(anchor :step t85.t7.t3.t3.t8 :args ((:= (veriT_vr90 A$) veriT_vr94)))
+(step t85.t7.t3.t3.t8.t1 (cl (! (= veriT_vr90 veriT_vr94) :named @p_731)) :rule refl)
+(step t85.t7.t3.t3.t8.t2 (cl (= @p_682 @p_729)) :rule cong :premises (t85.t7.t3.t3.t8.t1))
+(step t85.t7.t3.t3.t8.t3 (cl @p_724) :rule refl)
+(step t85.t7.t3.t3.t8.t4 (cl @p_730) :rule cong :premises (t85.t7.t3.t3.t8.t3))
+(step t85.t7.t3.t3.t8.t5 (cl @p_726) :rule refl)
+(step t85.t7.t3.t3.t8.t6 (cl @p_731) :rule refl)
+(step t85.t7.t3.t3.t8.t7 (cl (= @p_685 @p_732)) :rule cong :premises (t85.t7.t3.t3.t8.t4 t85.t7.t3.t3.t8.t5 t85.t7.t3.t3.t8.t6))
+(step t85.t7.t3.t3.t8.t8 (cl (= @p_687 @p_733)) :rule cong :premises (t85.t7.t3.t3.t8.t2 t85.t7.t3.t3.t8.t7))
+(step t85.t7.t3.t3.t8.t9 (cl (= @p_689 @p_734)) :rule cong :premises (t85.t7.t3.t3.t8.t8))
+(step t85.t7.t3.t3.t8 (cl (= @p_680 @p_728)) :rule bind)
+(step t85.t7.t3.t3.t9 (cl (= @p_691 @p_735)) :rule cong :premises (t85.t7.t3.t3.t8))
+(step t85.t7.t3.t3.t10 (cl (= @p_693 @p_736)) :rule cong :premises (t85.t7.t3.t3.t7 t85.t7.t3.t3.t9))
+(step t85.t7.t3.t3.t11 (cl @p_726) :rule refl)
+(step t85.t7.t3.t3.t12 (cl (= @p_695 @p_737)) :rule cong :premises (t85.t7.t3.t3.t11))
+(step t85.t7.t3.t3.t13 (cl (= @p_697 @p_738)) :rule cong :premises (t85.t7.t3.t3.t10 t85.t7.t3.t3.t12))
+(step t85.t7.t3.t3.t14 (cl (= @p_699 @p_739)) :rule cong :premises (t85.t7.t3.t3.t2 t85.t7.t3.t3.t13))
+(step t85.t7.t3.t3.t15 (cl (= @p_701 @p_740)) :rule cong :premises (t85.t7.t3.t3.t14))
+(step t85.t7.t3.t3 (cl (= @p_672 @p_722)) :rule bind)
+(step t85.t7.t3.t4 (cl (= @p_703 @p_741)) :rule cong :premises (t85.t7.t3.t3))
+(step t85.t7.t3.t5 (cl (= @p_705 @p_742)) :rule cong :premises (t85.t7.t3.t2 t85.t7.t3.t4))
+(step t85.t7.t3.t6 (cl (= @p_707 @p_743)) :rule cong :premises (t85.t7.t3.t5))
+(step t85.t7.t3 (cl (= @p_668 @p_720)) :rule bind)
+(step t85.t7.t4 (cl (= @p_709 @p_744)) :rule cong :premises (t85.t7.t3))
+(step t85.t7.t5 (cl (= @p_711 @p_718)) :rule cong :premises (t85.t7.t2 t85.t7.t4))
+(step t85.t7 (cl (= @p_713 (! (forall ((veriT_vr91 A$)) @p_718) :named @p_745))) :rule bind)
+(step t85.t8 (cl (= @p_714 (! (and @p_249 @p_579 @p_580 @p_745) :named @p_746))) :rule cong :premises (t85.t7))
+(step t85.t9 (cl (! (= @p_717 (! (=> @p_746 thesis$) :named @p_748)) :named @p_747)) :rule cong :premises (t85.t8))
+(step t85.t10 (cl (not @p_747) (not @p_717) @p_748) :rule equiv_pos2)
+(step t85.t11 (cl @p_748) :rule th_resolution :premises (t85.t6 t85.t9 t85.t10))
+(anchor :step t85.t12 :args ((:= (veriT_vr91 A$) veriT_sk6)))
+(step t85.t12.t1 (cl (! (= veriT_vr91 veriT_sk6) :named @p_753)) :rule refl)
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+(anchor :step t85.t12.t3 :args ((veriT_vr92 A$)))
+(anchor :step t85.t12.t3.t1 :args ((veriT_vr93 A$)))
+(step t85.t12.t3.t1.t1 (cl @p_753) :rule refl)
+(step t85.t12.t3.t1.t2 (cl (= @p_727 (! (tranclp$ @p_660 veriT_vr92 veriT_sk6) :named @p_754))) :rule cong :premises (t85.t12.t3.t1.t1))
+(anchor :step t85.t12.t3.t1.t3 :args ((veriT_vr94 A$)))
+(step t85.t12.t3.t1.t3.t1 (cl @p_753) :rule refl)
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+(step t85.t12.t3.t1.t3.t3 (cl (= @p_733 (! (and @p_729 @p_756) :named @p_757))) :rule cong :premises (t85.t12.t3.t1.t3.t2))
+(step t85.t12.t3.t1.t3.t4 (cl (= @p_734 (! (not @p_757) :named @p_758))) :rule cong :premises (t85.t12.t3.t1.t3.t3))
+(step t85.t12.t3.t1.t3 (cl (= @p_728 (! (forall ((veriT_vr94 A$)) @p_758) :named @p_755))) :rule bind)
+(step t85.t12.t3.t1.t4 (cl (= @p_735 (! (not @p_755) :named @p_759))) :rule cong :premises (t85.t12.t3.t1.t3))
+(step t85.t12.t3.t1.t5 (cl (= @p_736 (! (and @p_754 @p_759) :named @p_760))) :rule cong :premises (t85.t12.t3.t1.t2 t85.t12.t3.t1.t4))
+(step t85.t12.t3.t1.t6 (cl @p_753) :rule refl)
+(step t85.t12.t3.t1.t7 (cl (= @p_737 @p_750)) :rule cong :premises (t85.t12.t3.t1.t6))
+(step t85.t12.t3.t1.t8 (cl (= @p_738 (! (or @p_760 @p_750) :named @p_761))) :rule cong :premises (t85.t12.t3.t1.t5 t85.t12.t3.t1.t7))
+(step t85.t12.t3.t1.t9 (cl (= @p_739 (! (and @p_723 @p_761) :named @p_762))) :rule cong :premises (t85.t12.t3.t1.t8))
+(step t85.t12.t3.t1.t10 (cl (= @p_740 (! (not @p_762) :named @p_763))) :rule cong :premises (t85.t12.t3.t1.t9))
+(step t85.t12.t3.t1 (cl (= @p_722 (! (forall ((veriT_vr93 A$)) @p_763) :named @p_752))) :rule bind)
+(step t85.t12.t3.t2 (cl (= @p_741 (! (not @p_752) :named @p_764))) :rule cong :premises (t85.t12.t3.t1))
+(step t85.t12.t3.t3 (cl (= @p_742 (! (and @p_721 @p_764) :named @p_765))) :rule cong :premises (t85.t12.t3.t2))
+(step t85.t12.t3.t4 (cl (= @p_743 (! (not @p_765) :named @p_766))) :rule cong :premises (t85.t12.t3.t3))
+(step t85.t12.t3 (cl (= @p_720 (! (forall ((veriT_vr92 A$)) @p_766) :named @p_751))) :rule bind)
+(step t85.t12.t4 (cl (= @p_744 (! (not @p_751) :named @p_767))) :rule cong :premises (t85.t12.t3))
+(step t85.t12.t5 (cl (= @p_718 (! (=> @p_749 @p_767) :named @p_768))) :rule cong :premises (t85.t12.t2 t85.t12.t4))
+(step t85.t12 (cl (= @p_745 @p_768)) :rule sko_forall)
+(step t85.t13 (cl (= @p_746 (! (and @p_249 @p_579 @p_580 @p_768) :named @p_769))) :rule cong :premises (t85.t12))
+(step t85.t14 (cl (! (= @p_748 (! (=> @p_769 thesis$) :named @p_771)) :named @p_770)) :rule cong :premises (t85.t13))
+(step t85.t15 (cl (not @p_770) (not @p_748) @p_771) :rule equiv_pos2)
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+(anchor :step t85.t17 :args ((:= (veriT_vr92 A$) veriT_vr95)))
+(step t85.t17.t1 (cl (! (= veriT_vr92 veriT_vr95) :named @p_777)) :rule refl)
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+(anchor :step t85.t17.t3 :args ((:= (veriT_vr93 A$) veriT_vr96)))
+(step t85.t17.t3.t1 (cl (! (= veriT_vr93 veriT_vr96) :named @p_776)) :rule refl)
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+(step t85.t17.t3.t3 (cl @p_776) :rule refl)
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+(step t85.t17.t3.t5 (cl @p_777) :rule refl)
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+(anchor :step t85.t17.t3.t7 :args ((:= (veriT_vr94 A$) veriT_vr97)))
+(step t85.t17.t3.t7.t1 (cl (! (= veriT_vr94 veriT_vr97) :named @p_782)) :rule refl)
+(step t85.t17.t3.t7.t2 (cl (= @p_729 (! (member$ veriT_vr97 @p_582) :named @p_780))) :rule cong :premises (t85.t17.t3.t7.t1))
+(step t85.t17.t3.t7.t3 (cl @p_776) :rule refl)
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+(step t85.t17.t3.t7.t5 (cl @p_782) :rule refl)
+(step t85.t17.t3.t7.t6 (cl (= @p_756 (! (rtranclp$ @p_662 veriT_sk6 veriT_vr97) :named @p_783))) :rule cong :premises (t85.t17.t3.t7.t4 t85.t17.t3.t7.t5))
+(step t85.t17.t3.t7.t7 (cl (= @p_757 (! (and @p_780 @p_783) :named @p_784))) :rule cong :premises (t85.t17.t3.t7.t2 t85.t17.t3.t7.t6))
+(step t85.t17.t3.t7.t8 (cl (= @p_758 (! (not @p_784) :named @p_785))) :rule cong :premises (t85.t17.t3.t7.t7))
+(step t85.t17.t3.t7 (cl (= @p_755 (! (forall ((veriT_vr97 A$)) @p_785) :named @p_779))) :rule bind)
+(step t85.t17.t3.t8 (cl (= @p_759 (! (not @p_779) :named @p_786))) :rule cong :premises (t85.t17.t3.t7))
+(step t85.t17.t3.t9 (cl (= @p_760 (! (and @p_778 @p_786) :named @p_787))) :rule cong :premises (t85.t17.t3.t6 t85.t17.t3.t8))
+(step t85.t17.t3.t10 (cl (= @p_761 (! (or @p_787 @p_750) :named @p_788))) :rule cong :premises (t85.t17.t3.t9))
+(step t85.t17.t3.t11 (cl (= @p_762 (! (and @p_775 @p_788) :named @p_789))) :rule cong :premises (t85.t17.t3.t2 t85.t17.t3.t10))
+(step t85.t17.t3.t12 (cl (= @p_763 (! (not @p_789) :named @p_790))) :rule cong :premises (t85.t17.t3.t11))
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+(step t85.t17.t4 (cl (= @p_764 (! (not @p_774) :named @p_791))) :rule cong :premises (t85.t17.t3))
+(step t85.t17.t5 (cl (= @p_765 (! (and @p_773 @p_791) :named @p_792))) :rule cong :premises (t85.t17.t2 t85.t17.t4))
+(step t85.t17.t6 (cl (= @p_766 (! (not @p_792) :named @p_793))) :rule cong :premises (t85.t17.t5))
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+(step t85.t18 (cl (= @p_767 (! (not @p_772) :named @p_794))) :rule cong :premises (t85.t17))
+(step t85.t19 (cl (= @p_768 (! (=> @p_749 @p_794) :named @p_795))) :rule cong :premises (t85.t18))
+(step t85.t20 (cl (= @p_769 (! (and @p_249 @p_579 @p_580 @p_795) :named @p_796))) :rule cong :premises (t85.t19))
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+(step t85.t22 (cl (not @p_798) (not @p_771) @p_797) :rule equiv_pos2)
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+(step t85 (cl @p_716 @p_797) :rule subproof :discharge (h1))
+(step t86 (cl @p_657 @p_659) :rule or :premises (t84))
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+(step t89 (cl @p_800 (! (not @p_797) :named @p_802)) :rule or_neg)
+(step t90 (cl @p_800) :rule th_resolution :premises (t86 t85 t88 t89))
+(step t91 (cl @p_795 @p_749) :rule implies_neg1)
+(step t92 (cl @p_795 (! (not @p_794) :named @p_801)) :rule implies_neg2)
+(step t93 (cl (not @p_801) @p_772) :rule not_not)
+(step t94 (cl @p_795 @p_772) :rule th_resolution :premises (t93 t92))
+(step t95 (cl @p_796 (! (not @p_249) :named @p_1012) (not @p_579) (not @p_580) (! (not @p_795) :named @p_803)) :rule and_neg)
+(step t96 (cl @p_802 (! (not @p_796) :named @p_804) thesis$) :rule implies_pos)
+(step t97 (cl @p_657 @p_797) :rule or :premises (t90))
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+(step t99 (cl @p_802 @p_804) :rule resolution :premises (t96 t55))
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+(step t101 (cl @p_804) :rule resolution :premises (t99 t100))
+(step t102 (cl @p_803) :rule resolution :premises (t98 t101))
+(step t103 (cl @p_749) :rule resolution :premises (t91 t102))
+(step t104 (cl @p_772) :rule resolution :premises (t94 t102))
+(step t105 (cl (not (! (not (! (not @p_621) :named @p_805)) :named @p_883)) @p_621) :rule not_not)
+(step t106 (cl (or @p_805 (! (=> @p_749 (! (exists ((veriT_vr51 A$)) (! (and @p_624 (! (exists ((veriT_vr52 A$)) (! (and @p_626 (! (or (! (and (! (tranclp$ @p_462 veriT_vr51 veriT_sk6) :named @p_823) (! (exists ((veriT_vr53 A$)) (! (and @p_632 (! (rtranclp$ @p_462 veriT_sk6 veriT_vr53) :named @p_830)) :named @p_832)) :named @p_825)) :named @p_834) @p_750) :named @p_836)) :named @p_838)) :named @p_818)) :named @p_840)) :named @p_815)) :named @p_806))) :rule forall_inst :args ((:= veriT_vr50 veriT_sk6)))
+(anchor :step t107)
+(assume t107.h1 @p_806)
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+(step t107.t2.t1 (cl (! (= veriT_vr51 veriT_vr104) :named @p_822)) :rule refl)
+(step t107.t2.t2 (cl (= @p_624 (! (member$ veriT_vr104 @p_461) :named @p_817))) :rule cong :premises (t107.t2.t1))
+(anchor :step t107.t2.t3 :args ((:= (veriT_vr52 A$) veriT_vr105)))
+(step t107.t2.t3.t1 (cl (! (= veriT_vr52 veriT_vr105) :named @p_821)) :rule refl)
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+(step t107.t2.t3.t3 (cl @p_821) :rule refl)
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+(step t107.t2.t3.t5 (cl @p_822) :rule refl)
+(step t107.t2.t3.t6 (cl (= @p_823 (! (tranclp$ @p_816 veriT_vr104 veriT_sk6) :named @p_824))) :rule cong :premises (t107.t2.t3.t4 t107.t2.t3.t5))
+(anchor :step t107.t2.t3.t7 :args ((:= (veriT_vr53 A$) veriT_vr106)))
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+(step t107.t2.t3.t7.t3 (cl @p_821) :rule refl)
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+(step t107.t2.t3.t7.t5 (cl @p_829) :rule refl)
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+(step t107.t2.t3.t7 (cl (= @p_825 (! (exists ((veriT_vr106 A$)) @p_833) :named @p_826))) :rule bind)
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+(step t107.t2.t3.t9 (cl (= @p_836 (! (or @p_835 @p_750) :named @p_837))) :rule cong :premises (t107.t2.t3.t8))
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+(step t107.t2.t3 (cl (= @p_818 (! (exists ((veriT_vr105 A$)) @p_839) :named @p_819))) :rule bind)
+(step t107.t2.t4 (cl (= @p_840 (! (and @p_817 @p_819) :named @p_841))) :rule cong :premises (t107.t2.t2 t107.t2.t3))
+(step t107.t2 (cl (= @p_815 (! (exists ((veriT_vr104 A$)) @p_841) :named @p_842))) :rule bind)
+(step t107.t3 (cl (! (= @p_806 (! (=> @p_749 @p_842) :named @p_845)) :named @p_843)) :rule cong :premises (t107.t2))
+(step t107.t4 (cl (not @p_843) (! (not @p_806) :named @p_844) @p_845) :rule equiv_pos2)
+(step t107.t5 (cl @p_845) :rule th_resolution :premises (t107.h1 t107.t3 t107.t4))
+(anchor :step t107.t6 :args ((:= (veriT_vr104 A$) veriT_vr107)))
+(step t107.t6.t1 (cl (! (= veriT_vr104 veriT_vr107) :named @p_850)) :rule refl)
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+(anchor :step t107.t6.t3 :args ((:= (veriT_vr105 A$) veriT_vr108)))
+(step t107.t6.t3.t1 (cl (! (= veriT_vr105 veriT_vr108) :named @p_849)) :rule refl)
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+(step t107.t6.t3.t3 (cl @p_849) :rule refl)
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+(step t107.t6.t3.t5 (cl @p_850) :rule refl)
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+(anchor :step t107.t6.t3.t7 :args ((:= (veriT_vr106 A$) veriT_vr109)))
+(step t107.t6.t3.t7.t1 (cl (! (= veriT_vr106 veriT_vr109) :named @p_853)) :rule refl)
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+(step t107.t6.t3.t7.t3 (cl @p_849) :rule refl)
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+(step t107.t6.t3.t7.t5 (cl @p_853) :rule refl)
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+(step t107.t6.t3.t7.t7 (cl (= @p_833 @p_855)) :rule cong :premises (t107.t6.t3.t7.t2 t107.t6.t3.t7.t6))
+(step t107.t6.t3.t7 (cl (= @p_826 @p_810)) :rule bind)
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+(step t107.t6.t3.t9 (cl (= @p_837 @p_857)) :rule cong :premises (t107.t6.t3.t8))
+(step t107.t6.t3.t10 (cl (= @p_839 @p_858)) :rule cong :premises (t107.t6.t3.t2 t107.t6.t3.t9))
+(step t107.t6.t3 (cl (= @p_819 @p_848)) :rule bind)
+(step t107.t6.t4 (cl (= @p_841 @p_846)) :rule cong :premises (t107.t6.t2 t107.t6.t3))
+(step t107.t6 (cl (= @p_842 (! (exists ((veriT_vr107 A$)) @p_846) :named @p_859))) :rule bind)
+(step t107.t7 (cl (! (= @p_845 (! (=> @p_749 @p_859) :named @p_861)) :named @p_860)) :rule cong :premises (t107.t6))
+(step t107.t8 (cl (not @p_860) (not @p_845) @p_861) :rule equiv_pos2)
+(step t107.t9 (cl @p_861) :rule th_resolution :premises (t107.t5 t107.t7 t107.t8))
+(anchor :step t107.t10 :args ((:= (veriT_vr107 A$) veriT_sk10)))
+(step t107.t10.t1 (cl (! (= veriT_vr107 veriT_sk10) :named @p_869)) :rule refl)
+(step t107.t10.t2 (cl (= @p_847 (! (member$ veriT_sk10 @p_461) :named @p_862))) :rule cong :premises (t107.t10.t1))
+(anchor :step t107.t10.t3 :args ((:= (veriT_vr108 A$) veriT_sk11)))
+(step t107.t10.t3.t1 (cl (! (= veriT_vr108 veriT_sk11) :named @p_868)) :rule refl)
+(step t107.t10.t3.t2 (cl (= @p_808 (! (member$ veriT_sk11 @p_461) :named @p_863))) :rule cong :premises (t107.t10.t3.t1))
+(step t107.t10.t3.t3 (cl @p_868) :rule refl)
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+(step t107.t10.t3.t5 (cl @p_869) :rule refl)
+(step t107.t10.t3.t6 (cl (= @p_851 (! (tranclp$ @p_813 veriT_sk10 veriT_sk6) :named @p_864))) :rule cong :premises (t107.t10.t3.t4 t107.t10.t3.t5))
+(anchor :step t107.t10.t3.t7 :args ((:= (veriT_vr109 A$) veriT_sk12)))
+(step t107.t10.t3.t7.t1 (cl (! (= veriT_vr109 veriT_sk12) :named @p_872)) :rule refl)
+(step t107.t10.t3.t7.t2 (cl (= @p_812 (! (member$ veriT_sk12 @p_582) :named @p_865))) :rule cong :premises (t107.t10.t3.t7.t1))
+(step t107.t10.t3.t7.t3 (cl @p_868) :rule refl)
+(step t107.t10.t3.t7.t4 (cl @p_871) :rule cong :premises (t107.t10.t3.t7.t3))
+(step t107.t10.t3.t7.t5 (cl @p_872) :rule refl)
+(step t107.t10.t3.t7.t6 (cl (= @p_854 (! (rtranclp$ @p_813 veriT_sk6 veriT_sk12) :named @p_866))) :rule cong :premises (t107.t10.t3.t7.t4 t107.t10.t3.t7.t5))
+(step t107.t10.t3.t7.t7 (cl (= @p_855 (! (and @p_865 @p_866) :named @p_870))) :rule cong :premises (t107.t10.t3.t7.t2 t107.t10.t3.t7.t6))
+(step t107.t10.t3.t7 (cl (= @p_810 @p_870)) :rule sko_ex)
+(step t107.t10.t3.t8 (cl (= @p_856 (! (and @p_864 @p_870) :named @p_873))) :rule cong :premises (t107.t10.t3.t6 t107.t10.t3.t7))
+(step t107.t10.t3.t9 (cl (= @p_857 (! (or @p_873 @p_750) :named @p_874))) :rule cong :premises (t107.t10.t3.t8))
+(step t107.t10.t3.t10 (cl (= @p_858 (! (and @p_863 @p_874) :named @p_867))) :rule cong :premises (t107.t10.t3.t2 t107.t10.t3.t9))
+(step t107.t10.t3 (cl (= @p_848 @p_867)) :rule sko_ex)
+(step t107.t10.t4 (cl (= @p_846 (! (and @p_862 @p_867) :named @p_875))) :rule cong :premises (t107.t10.t2 t107.t10.t3))
+(step t107.t10 (cl (= @p_859 @p_875)) :rule sko_ex)
+(step t107.t11 (cl (! (= @p_861 (! (=> @p_749 @p_875) :named @p_877)) :named @p_876)) :rule cong :premises (t107.t10))
+(step t107.t12 (cl (not @p_876) (not @p_861) @p_877) :rule equiv_pos2)
+(step t107.t13 (cl @p_877) :rule th_resolution :premises (t107.t9 t107.t11 t107.t12))
+(step t107.t14 (cl (= @p_873 (! (and @p_864 @p_865 @p_866) :named @p_878))) :rule ac_simp)
+(step t107.t15 (cl (= @p_874 (! (or @p_878 @p_750) :named @p_879))) :rule ac_simp :premises (t107.t14))
+(step t107.t16 (cl (= @p_875 (! (and @p_862 @p_863 @p_879) :named @p_880))) :rule ac_simp :premises (t107.t15))
+(step t107.t17 (cl (! (= @p_877 (! (=> @p_749 @p_880) :named @p_881)) :named @p_882)) :rule cong :premises (t107.t16))
+(step t107.t18 (cl (not @p_882) (not @p_877) @p_881) :rule equiv_pos2)
+(step t107.t19 (cl @p_881) :rule th_resolution :premises (t107.t13 t107.t17 t107.t18))
+(step t107 (cl @p_844 @p_881) :rule subproof :discharge (h1))
+(step t108 (cl @p_805 @p_806) :rule or :premises (t106))
+(step t109 (cl (! (or @p_805 @p_881) :named @p_884) @p_883) :rule or_neg)
+(step t110 (cl @p_884 @p_621) :rule th_resolution :premises (t105 t109))
+(step t111 (cl @p_884 (! (not @p_881) :named @p_887)) :rule or_neg)
+(step t112 (cl @p_884) :rule th_resolution :premises (t108 t107 t110 t111))
+(step t113 (cl (! (not @p_880) :named @p_885) @p_862) :rule and_pos)
+(step t114 (cl @p_885 @p_863) :rule and_pos)
+(step t115 (cl (! (not @p_878) :named @p_886) @p_864) :rule and_pos)
+(step t116 (cl @p_886 @p_865) :rule and_pos)
+(step t117 (cl @p_886 @p_866) :rule and_pos)
+(step t118 (cl (not @p_879) @p_878 @p_750) :rule or_pos)
+(step t119 (cl @p_885 @p_879) :rule and_pos)
+(step t120 (cl @p_887 (not @p_749) @p_880) :rule implies_pos)
+(step t121 (cl @p_805 @p_881) :rule or :premises (t112))
+(step t122 (cl @p_887 @p_880) :rule resolution :premises (t120 t103))
+(step t123 (cl @p_881) :rule resolution :premises (t121 t82))
+(step t124 (cl @p_880) :rule resolution :premises (t122 t123))
+(step t125 (cl @p_862) :rule resolution :premises (t113 t124))
+(step t126 (cl @p_863) :rule resolution :premises (t114 t124))
+(step t127 (cl @p_879) :rule resolution :premises (t119 t124))
+(step t128 (cl (or @p_794 (! (not (! (and (! (member$ veriT_sk11 @p_658) :named @p_889) (! (not (! (forall ((veriT_vr96 A$)) (! (not (! (and @p_775 (! (or (! (and (! (tranclp$ @p_662 veriT_sk11 veriT_sk6) :named @p_895) @p_786) :named @p_905) @p_750) :named @p_907)) :named @p_909)) :named @p_911)) :named @p_891)) :named @p_913)) :named @p_915)) :named @p_888))) :rule forall_inst :args ((:= veriT_vr95 veriT_sk11)))
+(anchor :step t129)
+(assume t129.h1 @p_888)
+(anchor :step t129.t2 :args ((:= (veriT_vr96 A$) veriT_vr118)))
+(step t129.t2.t1 (cl (! (= veriT_vr96 veriT_vr118) :named @p_894)) :rule refl)
+(step t129.t2.t2 (cl (= @p_775 (! (member$ veriT_vr118 @p_658) :named @p_893))) :rule cong :premises (t129.t2.t1))
+(step t129.t2.t3 (cl @p_894) :rule refl)
+(step t129.t2.t4 (cl (! (= @p_662 (! (fun_app$c ground_resolution$ veriT_vr118) :named @p_892)) :named @p_899)) :rule cong :premises (t129.t2.t3))
+(step t129.t2.t5 (cl (= @p_895 (! (tranclp$ @p_892 veriT_sk11 veriT_sk6) :named @p_896))) :rule cong :premises (t129.t2.t4))
+(anchor :step t129.t2.t6 :args ((:= (veriT_vr97 A$) veriT_vr119)))
+(step t129.t2.t6.t1 (cl (! (= veriT_vr97 veriT_vr119) :named @p_900)) :rule refl)
+(step t129.t2.t6.t2 (cl (= @p_780 (! (member$ veriT_vr119 @p_582) :named @p_898))) :rule cong :premises (t129.t2.t6.t1))
+(step t129.t2.t6.t3 (cl @p_894) :rule refl)
+(step t129.t2.t6.t4 (cl @p_899) :rule cong :premises (t129.t2.t6.t3))
+(step t129.t2.t6.t5 (cl @p_900) :rule refl)
+(step t129.t2.t6.t6 (cl (= @p_783 (! (rtranclp$ @p_892 veriT_sk6 veriT_vr119) :named @p_901))) :rule cong :premises (t129.t2.t6.t4 t129.t2.t6.t5))
+(step t129.t2.t6.t7 (cl (= @p_784 (! (and @p_898 @p_901) :named @p_902))) :rule cong :premises (t129.t2.t6.t2 t129.t2.t6.t6))
+(step t129.t2.t6.t8 (cl (= @p_785 (! (not @p_902) :named @p_903))) :rule cong :premises (t129.t2.t6.t7))
+(step t129.t2.t6 (cl (= @p_779 (! (forall ((veriT_vr119 A$)) @p_903) :named @p_897))) :rule bind)
+(step t129.t2.t7 (cl (= @p_786 (! (not @p_897) :named @p_904))) :rule cong :premises (t129.t2.t6))
+(step t129.t2.t8 (cl (= @p_905 (! (and @p_896 @p_904) :named @p_906))) :rule cong :premises (t129.t2.t5 t129.t2.t7))
+(step t129.t2.t9 (cl (= @p_907 (! (or @p_906 @p_750) :named @p_908))) :rule cong :premises (t129.t2.t8))
+(step t129.t2.t10 (cl (= @p_909 (! (and @p_893 @p_908) :named @p_910))) :rule cong :premises (t129.t2.t2 t129.t2.t9))
+(step t129.t2.t11 (cl (= @p_911 (! (not @p_910) :named @p_912))) :rule cong :premises (t129.t2.t10))
+(step t129.t2 (cl (= @p_891 (! (forall ((veriT_vr118 A$)) @p_912) :named @p_914))) :rule bind)
+(step t129.t3 (cl (= @p_913 (! (not @p_914) :named @p_916))) :rule cong :premises (t129.t2))
+(step t129.t4 (cl (= @p_915 (! (and @p_889 @p_916) :named @p_917))) :rule cong :premises (t129.t3))
+(step t129.t5 (cl (! (= @p_888 (! (not @p_917) :named @p_920)) :named @p_918)) :rule cong :premises (t129.t4))
+(step t129.t6 (cl (! (not @p_918) :named @p_921) (! (not @p_888) :named @p_919) @p_920) :rule equiv_pos2)
+(step t129.t7 (cl (! (not @p_919) :named @p_944) @p_915) :rule not_not)
+(step t129.t8 (cl @p_921 @p_915 @p_920) :rule th_resolution :premises (t129.t7 t129.t6))
+(step t129.t9 (cl @p_920) :rule th_resolution :premises (t129.h1 t129.t5 t129.t8))
+(anchor :step t129.t10 :args ((:= (veriT_vr118 A$) veriT_vr120)))
+(step t129.t10.t1 (cl (! (= veriT_vr118 veriT_vr120) :named @p_924)) :rule refl)
+(step t129.t10.t2 (cl (= @p_893 (! (member$ veriT_vr120 @p_658) :named @p_923))) :rule cong :premises (t129.t10.t1))
+(step t129.t10.t3 (cl @p_924) :rule refl)
+(step t129.t10.t4 (cl (! (= @p_892 (! (fun_app$c ground_resolution$ veriT_vr120) :named @p_890)) :named @p_928)) :rule cong :premises (t129.t10.t3))
+(step t129.t10.t5 (cl (= @p_896 (! (tranclp$ @p_890 veriT_sk11 veriT_sk6) :named @p_925))) :rule cong :premises (t129.t10.t4))
+(anchor :step t129.t10.t6 :args ((:= (veriT_vr119 A$) veriT_vr121)))
+(step t129.t10.t6.t1 (cl (! (= veriT_vr119 veriT_vr121) :named @p_929)) :rule refl)
+(step t129.t10.t6.t2 (cl (= @p_898 (! (member$ veriT_vr121 @p_582) :named @p_927))) :rule cong :premises (t129.t10.t6.t1))
+(step t129.t10.t6.t3 (cl @p_924) :rule refl)
+(step t129.t10.t6.t4 (cl @p_928) :rule cong :premises (t129.t10.t6.t3))
+(step t129.t10.t6.t5 (cl @p_929) :rule refl)
+(step t129.t10.t6.t6 (cl (= @p_901 (! (rtranclp$ @p_890 veriT_sk6 veriT_vr121) :named @p_930))) :rule cong :premises (t129.t10.t6.t4 t129.t10.t6.t5))
+(step t129.t10.t6.t7 (cl (= @p_902 (! (and @p_927 @p_930) :named @p_931))) :rule cong :premises (t129.t10.t6.t2 t129.t10.t6.t6))
+(step t129.t10.t6.t8 (cl (= @p_903 (! (not @p_931) :named @p_932))) :rule cong :premises (t129.t10.t6.t7))
+(step t129.t10.t6 (cl (= @p_897 (! (forall ((veriT_vr121 A$)) @p_932) :named @p_926))) :rule bind)
+(step t129.t10.t7 (cl (= @p_904 (! (not @p_926) :named @p_933))) :rule cong :premises (t129.t10.t6))
+(step t129.t10.t8 (cl (= @p_906 (! (and @p_925 @p_933) :named @p_934))) :rule cong :premises (t129.t10.t5 t129.t10.t7))
+(step t129.t10.t9 (cl (= @p_908 (! (or @p_934 @p_750) :named @p_935))) :rule cong :premises (t129.t10.t8))
+(step t129.t10.t10 (cl (= @p_910 (! (and @p_923 @p_935) :named @p_936))) :rule cong :premises (t129.t10.t2 t129.t10.t9))
+(step t129.t10.t11 (cl (= @p_912 (! (not @p_936) :named @p_937))) :rule cong :premises (t129.t10.t10))
+(step t129.t10 (cl (= @p_914 (! (forall ((veriT_vr120 A$)) @p_937) :named @p_922))) :rule bind)
+(step t129.t11 (cl (= @p_916 (! (not @p_922) :named @p_938))) :rule cong :premises (t129.t10))
+(step t129.t12 (cl (= @p_917 (! (and @p_889 @p_938) :named @p_939))) :rule cong :premises (t129.t11))
+(step t129.t13 (cl (! (= @p_920 (! (not @p_939) :named @p_940)) :named @p_941)) :rule cong :premises (t129.t12))
+(step t129.t14 (cl (! (not @p_941) :named @p_943) (! (not @p_920) :named @p_942) @p_940) :rule equiv_pos2)
+(step t129.t15 (cl (not @p_942) @p_917) :rule not_not)
+(step t129.t16 (cl @p_943 @p_917 @p_940) :rule th_resolution :premises (t129.t15 t129.t14))
+(step t129.t17 (cl @p_940) :rule th_resolution :premises (t129.t9 t129.t13 t129.t16))
+(step t129 (cl @p_919 @p_940) :rule subproof :discharge (h1))
+(step t130 (cl @p_944 @p_915) :rule not_not)
+(step t131 (cl @p_915 @p_940) :rule th_resolution :premises (t130 t129))
+(step t132 (cl @p_794 @p_888) :rule or :premises (t128))
+(step t133 (cl (! (or @p_794 @p_940) :named @p_945) @p_801) :rule or_neg)
+(step t134 (cl @p_945 @p_772) :rule th_resolution :premises (t93 t133))
+(step t135 (cl @p_945 (! (not @p_940) :named @p_946)) :rule or_neg)
+(step t136 (cl (not @p_946) @p_939) :rule not_not)
+(step t137 (cl @p_945 @p_939) :rule th_resolution :premises (t136 t135))
+(step t138 (cl @p_945) :rule th_resolution :premises (t132 t131 t134 t137))
+(step t139 (cl (or @p_794 (! (not (! (and (! (member$ veriT_sk10 @p_658) :named @p_948) (! (not (! (forall ((veriT_vr96 A$)) (! (not (! (and @p_775 (! (or (! (and (! (tranclp$ @p_662 veriT_sk10 veriT_sk6) :named @p_954) @p_786) :named @p_964) @p_750) :named @p_966)) :named @p_968)) :named @p_970)) :named @p_950)) :named @p_972)) :named @p_974)) :named @p_947))) :rule forall_inst :args ((:= veriT_vr95 veriT_sk10)))
+(anchor :step t140)
+(assume t140.h1 @p_947)
+(anchor :step t140.t2 :args ((:= (veriT_vr96 A$) veriT_vr122)))
+(step t140.t2.t1 (cl (! (= veriT_vr96 veriT_vr122) :named @p_953)) :rule refl)
+(step t140.t2.t2 (cl (= @p_775 (! (member$ veriT_vr122 @p_658) :named @p_952))) :rule cong :premises (t140.t2.t1))
+(step t140.t2.t3 (cl @p_953) :rule refl)
+(step t140.t2.t4 (cl (! (= @p_662 (! (fun_app$c ground_resolution$ veriT_vr122) :named @p_951)) :named @p_958)) :rule cong :premises (t140.t2.t3))
+(step t140.t2.t5 (cl (= @p_954 (! (tranclp$ @p_951 veriT_sk10 veriT_sk6) :named @p_955))) :rule cong :premises (t140.t2.t4))
+(anchor :step t140.t2.t6 :args ((:= (veriT_vr97 A$) veriT_vr123)))
+(step t140.t2.t6.t1 (cl (! (= veriT_vr97 veriT_vr123) :named @p_959)) :rule refl)
+(step t140.t2.t6.t2 (cl (= @p_780 (! (member$ veriT_vr123 @p_582) :named @p_957))) :rule cong :premises (t140.t2.t6.t1))
+(step t140.t2.t6.t3 (cl @p_953) :rule refl)
+(step t140.t2.t6.t4 (cl @p_958) :rule cong :premises (t140.t2.t6.t3))
+(step t140.t2.t6.t5 (cl @p_959) :rule refl)
+(step t140.t2.t6.t6 (cl (= @p_783 (! (rtranclp$ @p_951 veriT_sk6 veriT_vr123) :named @p_960))) :rule cong :premises (t140.t2.t6.t4 t140.t2.t6.t5))
+(step t140.t2.t6.t7 (cl (= @p_784 (! (and @p_957 @p_960) :named @p_961))) :rule cong :premises (t140.t2.t6.t2 t140.t2.t6.t6))
+(step t140.t2.t6.t8 (cl (= @p_785 (! (not @p_961) :named @p_962))) :rule cong :premises (t140.t2.t6.t7))
+(step t140.t2.t6 (cl (= @p_779 (! (forall ((veriT_vr123 A$)) @p_962) :named @p_956))) :rule bind)
+(step t140.t2.t7 (cl (= @p_786 (! (not @p_956) :named @p_963))) :rule cong :premises (t140.t2.t6))
+(step t140.t2.t8 (cl (= @p_964 (! (and @p_955 @p_963) :named @p_965))) :rule cong :premises (t140.t2.t5 t140.t2.t7))
+(step t140.t2.t9 (cl (= @p_966 (! (or @p_965 @p_750) :named @p_967))) :rule cong :premises (t140.t2.t8))
+(step t140.t2.t10 (cl (= @p_968 (! (and @p_952 @p_967) :named @p_969))) :rule cong :premises (t140.t2.t2 t140.t2.t9))
+(step t140.t2.t11 (cl (= @p_970 (! (not @p_969) :named @p_971))) :rule cong :premises (t140.t2.t10))
+(step t140.t2 (cl (= @p_950 (! (forall ((veriT_vr122 A$)) @p_971) :named @p_973))) :rule bind)
+(step t140.t3 (cl (= @p_972 (! (not @p_973) :named @p_975))) :rule cong :premises (t140.t2))
+(step t140.t4 (cl (= @p_974 (! (and @p_948 @p_975) :named @p_976))) :rule cong :premises (t140.t3))
+(step t140.t5 (cl (! (= @p_947 (! (not @p_976) :named @p_979)) :named @p_977)) :rule cong :premises (t140.t4))
+(step t140.t6 (cl (! (not @p_977) :named @p_980) (! (not @p_947) :named @p_978) @p_979) :rule equiv_pos2)
+(step t140.t7 (cl (! (not @p_978) :named @p_1003) @p_974) :rule not_not)
+(step t140.t8 (cl @p_980 @p_974 @p_979) :rule th_resolution :premises (t140.t7 t140.t6))
+(step t140.t9 (cl @p_979) :rule th_resolution :premises (t140.h1 t140.t5 t140.t8))
+(anchor :step t140.t10 :args ((:= (veriT_vr122 A$) veriT_vr124)))
+(step t140.t10.t1 (cl (! (= veriT_vr122 veriT_vr124) :named @p_983)) :rule refl)
+(step t140.t10.t2 (cl (= @p_952 (! (member$ veriT_vr124 @p_658) :named @p_982))) :rule cong :premises (t140.t10.t1))
+(step t140.t10.t3 (cl @p_983) :rule refl)
+(step t140.t10.t4 (cl (! (= @p_951 (! (fun_app$c ground_resolution$ veriT_vr124) :named @p_949)) :named @p_987)) :rule cong :premises (t140.t10.t3))
+(step t140.t10.t5 (cl (= @p_955 (! (tranclp$ @p_949 veriT_sk10 veriT_sk6) :named @p_984))) :rule cong :premises (t140.t10.t4))
+(anchor :step t140.t10.t6 :args ((:= (veriT_vr123 A$) veriT_vr125)))
+(step t140.t10.t6.t1 (cl (! (= veriT_vr123 veriT_vr125) :named @p_988)) :rule refl)
+(step t140.t10.t6.t2 (cl (= @p_957 (! (member$ veriT_vr125 @p_582) :named @p_986))) :rule cong :premises (t140.t10.t6.t1))
+(step t140.t10.t6.t3 (cl @p_983) :rule refl)
+(step t140.t10.t6.t4 (cl @p_987) :rule cong :premises (t140.t10.t6.t3))
+(step t140.t10.t6.t5 (cl @p_988) :rule refl)
+(step t140.t10.t6.t6 (cl (= @p_960 (! (rtranclp$ @p_949 veriT_sk6 veriT_vr125) :named @p_989))) :rule cong :premises (t140.t10.t6.t4 t140.t10.t6.t5))
+(step t140.t10.t6.t7 (cl (= @p_961 (! (and @p_986 @p_989) :named @p_990))) :rule cong :premises (t140.t10.t6.t2 t140.t10.t6.t6))
+(step t140.t10.t6.t8 (cl (= @p_962 (! (not @p_990) :named @p_991))) :rule cong :premises (t140.t10.t6.t7))
+(step t140.t10.t6 (cl (= @p_956 (! (forall ((veriT_vr125 A$)) @p_991) :named @p_985))) :rule bind)
+(step t140.t10.t7 (cl (= @p_963 (! (not @p_985) :named @p_992))) :rule cong :premises (t140.t10.t6))
+(step t140.t10.t8 (cl (= @p_965 (! (and @p_984 @p_992) :named @p_993))) :rule cong :premises (t140.t10.t5 t140.t10.t7))
+(step t140.t10.t9 (cl (= @p_967 (! (or @p_993 @p_750) :named @p_994))) :rule cong :premises (t140.t10.t8))
+(step t140.t10.t10 (cl (= @p_969 (! (and @p_982 @p_994) :named @p_995))) :rule cong :premises (t140.t10.t2 t140.t10.t9))
+(step t140.t10.t11 (cl (= @p_971 (! (not @p_995) :named @p_996))) :rule cong :premises (t140.t10.t10))
+(step t140.t10 (cl (= @p_973 (! (forall ((veriT_vr124 A$)) @p_996) :named @p_981))) :rule bind)
+(step t140.t11 (cl (= @p_975 (! (not @p_981) :named @p_997))) :rule cong :premises (t140.t10))
+(step t140.t12 (cl (= @p_976 (! (and @p_948 @p_997) :named @p_998))) :rule cong :premises (t140.t11))
+(step t140.t13 (cl (! (= @p_979 (! (not @p_998) :named @p_999)) :named @p_1000)) :rule cong :premises (t140.t12))
+(step t140.t14 (cl (! (not @p_1000) :named @p_1002) (! (not @p_979) :named @p_1001) @p_999) :rule equiv_pos2)
+(step t140.t15 (cl (not @p_1001) @p_976) :rule not_not)
+(step t140.t16 (cl @p_1002 @p_976 @p_999) :rule th_resolution :premises (t140.t15 t140.t14))
+(step t140.t17 (cl @p_999) :rule th_resolution :premises (t140.t9 t140.t13 t140.t16))
+(step t140 (cl @p_978 @p_999) :rule subproof :discharge (h1))
+(step t141 (cl @p_1003 @p_974) :rule not_not)
+(step t142 (cl @p_974 @p_999) :rule th_resolution :premises (t141 t140))
+(step t143 (cl @p_794 @p_947) :rule or :premises (t139))
+(step t144 (cl (! (or @p_794 @p_999) :named @p_1004) @p_801) :rule or_neg)
+(step t145 (cl @p_1004 @p_772) :rule th_resolution :premises (t93 t144))
+(step t146 (cl @p_1004 (! (not @p_999) :named @p_1005)) :rule or_neg)
+(step t147 (cl (not @p_1005) @p_998) :rule not_not)
+(step t148 (cl @p_1004 @p_998) :rule th_resolution :premises (t147 t146))
+(step t149 (cl @p_1004) :rule th_resolution :premises (t143 t142 t145 t148))
+(step t150 (cl @p_939 (! (not @p_889) :named @p_1007) (! (not @p_938) :named @p_1006)) :rule and_neg)
+(step t151 (cl (not @p_1006) @p_922) :rule not_not)
+(step t152 (cl @p_939 @p_1007 @p_922) :rule th_resolution :premises (t151 t150))
+(step t153 (cl @p_794 @p_940) :rule or :premises (t138))
+(step t154 (cl @p_940) :rule resolution :premises (t153 t104))
+(step t155 (cl @p_998 (! (not @p_948) :named @p_1009) (! (not @p_997) :named @p_1008)) :rule and_neg)
+(step t156 (cl (not @p_1008) @p_981) :rule not_not)
+(step t157 (cl @p_998 @p_1009 @p_981) :rule th_resolution :premises (t156 t155))
+(step t158 (cl @p_794 @p_999) :rule or :premises (t149))
+(step t159 (cl @p_999) :rule resolution :premises (t158 t104))
+(step t160 (cl (! (= fset$ fset$) :named @p_1020)) :rule eq_reflexive)
+(step t161 (cl (! (= union_fset$ union_fset$) :named @p_1011)) :rule eq_reflexive)
+(step t162 (cl (not (! (= @p_244 @p_447) :named @p_1013)) (! (not (! (= @p_593 @p_593) :named @p_1016)) :named @p_1014) (! (= @p_594 @p_1010) :named @p_1015)) :rule eq_congruent)
+(step t163 (cl (not @p_1011) @p_1012 @p_1013) :rule eq_congruent)
+(step t164 (cl @p_1012 @p_1013) :rule th_resolution :premises (t163 t161))
+(step t165 (cl @p_1014 @p_1015 @p_1012) :rule th_resolution :premises (t162 t164))
+(step t166 (cl @p_1016) :rule eq_reflexive)
+(step t167 (cl @p_1015 @p_1012) :rule th_resolution :premises (t165 t166))
+(step t168 (cl (not (! (= veriT_sk10 veriT_sk10) :named @p_1017)) (! (not (! (= @p_461 @p_658) :named @p_1021)) :named @p_1018) @p_948 (! (not @p_862) :named @p_1019)) :rule eq_congruent_pred)
+(step t169 (cl @p_1017) :rule eq_reflexive)
+(step t170 (cl @p_1018 @p_948 @p_1019) :rule th_resolution :premises (t168 t169))
+(step t171 (cl (not @p_1020) (! (not @p_1015) :named @p_1022) @p_1021) :rule eq_congruent)
+(step t172 (cl @p_1022 @p_1021) :rule th_resolution :premises (t171 t160))
+(step t173 (cl @p_1021 @p_1012) :rule th_resolution :premises (t172 t167))
+(step t174 (cl @p_948 @p_1019 @p_1012) :rule th_resolution :premises (t170 t173))
+(step t175 (cl @p_948) :rule resolution :premises (t174 t81 t125))
+(step t176 (cl (! (not (! (= veriT_sk11 veriT_sk11) :named @p_1025)) :named @p_1023) @p_1018 @p_889 (! (not @p_863) :named @p_1024)) :rule eq_congruent_pred)
+(step t177 (cl @p_1023 @p_889 @p_1024 @p_1012) :rule th_resolution :premises (t176 t173))
+(step t178 (cl @p_1025) :rule eq_reflexive)
+(step t179 (cl @p_889 @p_1024 @p_1012) :rule th_resolution :premises (t177 t178))
+(step t180 (cl @p_889) :rule resolution :premises (t179 t81 t126))
+(step t181 (cl @p_981) :rule resolution :premises (t157 t175 t159))
+(step t182 (cl @p_922) :rule resolution :premises (t152 t180 t154))
+(step t183 (cl (or @p_997 (! (forall ((veriT_vr124 A$) (veriT_vr125 A$)) (or (not @p_982) (not @p_984) (not @p_986) (not @p_989))) :named @p_1026))) :rule qnt_cnf)
+(step t184 (cl (or @p_938 (! (forall ((veriT_vr120 A$)) (or (not @p_923) (! (not @p_750) :named @p_1035))) :named @p_1034))) :rule qnt_cnf)
+(step t185 (cl @p_997 @p_1026) :rule or :premises (t183))
+(step t186 (cl (or (! (not @p_1026) :named @p_1027) (! (or @p_1007 (! (not @p_864) :named @p_1031) (! (not @p_865) :named @p_1032) (! (not @p_866) :named @p_1033)) :named @p_1028))) :rule forall_inst :args ((:= veriT_vr124 veriT_sk11) (:= veriT_vr125 veriT_sk12)))
+(step t187 (cl @p_1027 @p_1028) :rule or :premises (t186))
+(step t188 (cl (! (or @p_997 @p_1028) :named @p_1029) @p_1008) :rule or_neg)
+(step t189 (cl @p_1029 @p_981) :rule th_resolution :premises (t156 t188))
+(step t190 (cl @p_1029 (! (not @p_1028) :named @p_1030)) :rule or_neg)
+(step t191 (cl @p_1029) :rule th_resolution :premises (t185 t187 t189 t190))
+(step t192 (cl @p_1030 @p_1007 @p_1031 @p_1032 @p_1033) :rule or_pos)
+(step t193 (cl @p_997 @p_1028) :rule or :premises (t191))
+(step t194 (cl @p_1030 @p_1031 @p_1032 @p_1033) :rule resolution :premises (t192 t180))
+(step t195 (cl @p_1028) :rule resolution :premises (t193 t181))
+(step t196 (cl @p_886) :rule resolution :premises (t194 t117 t116 t115 t195))
+(step t197 (cl @p_750) :rule resolution :premises (t118 t196 t127))
+(step t198 (cl @p_938 @p_1034) :rule or :premises (t184))
+(step t199 (cl (or (! (not @p_1034) :named @p_1036) (! (or @p_1007 @p_1035) :named @p_1037))) :rule forall_inst :args ((:= veriT_vr120 veriT_sk11)))
+(step t200 (cl @p_1036 @p_1037) :rule or :premises (t199))
+(step t201 (cl (! (or @p_938 @p_1037) :named @p_1038) @p_1006) :rule or_neg)
+(step t202 (cl @p_1038 @p_922) :rule th_resolution :premises (t151 t201))
+(step t203 (cl @p_1038 (! (not @p_1037) :named @p_1039)) :rule or_neg)
+(step t204 (cl @p_1038) :rule th_resolution :premises (t198 t200 t202 t203))
+(step t205 (cl @p_1039 @p_1007 @p_1035) :rule or_pos)
+(step t206 (cl @p_938 @p_1037) :rule or :premises (t204))
+(step t207 (cl @p_1039) :rule resolution :premises (t205 t197 t180))
+(step t208 (cl) :rule resolution :premises (t206 t182 t207))
 672f5a048dc0215d5adebfbf2f0a3a36f69e286e 910 0
 unsat
 (define-fun veriT_sk0 () V$ (! (choice ((veriT_vr65 V$)) (not (! (not (! (= x2$ (! (rraise$ veriT_vr65) :named @p_401)) :named @p_402)) :named @p_400))) :named @p_414))

--- a/src/HOL/SMT_Examples/SMT_Examples_Verit.thy	Mon Feb 05 21:49:26 2024 +0100
+++ b/src/HOL/SMT_Examples/SMT_Examples_Verit.thy	Mon Feb 05 22:03:43 2024 +0100
@@ -15,7 +15,7 @@
 external_file \<open>SMT_Examples_Verit.certs\<close>
 
 declare [[smt_certificates = "SMT_Examples_Verit.certs"]]
-declare [[smt_read_only_certificates = false]]
+declare [[smt_read_only_certificates = true]]
 
 
 section \<open>Propositional and first-order logic\<close>
@@ -815,4 +815,44 @@
   done
 
 end
+
+context
+  fixes
+    L2_final :: "'afset \<Rightarrow> 'afset \<times> 'afset \<Rightarrow> bool" and
+    L3_final :: "'afset \<Rightarrow> 'afset \<times> 'afset \<Rightarrow> bool" and
+    ground_resolution :: "'a \<Rightarrow> 'a \<Rightarrow> 'a \<Rightarrow> bool" and
+    is_least_false_clause :: "'afset \<Rightarrow> 'a \<Rightarrow> bool" and
+    fset :: "'afset \<Rightarrow> 'a set" and
+    union_fset :: "'afset \<Rightarrow> 'afset \<Rightarrow> 'afset" (infixr "|\<union>|" 50)
+begin
+term "a |\<union>| b"
+
+fun L2_matches_L3 where
+  "L2_matches_L3 N2 (Ur2, Uff2) N3 (Urr3, Uff3) \<longleftrightarrow>
+    N2 = N3 \<and> Uff2 = Uff3 \<and>
+    (\<forall>Cr \<in> fset Ur2. \<exists>C \<in> fset (N3 |\<union>| Urr3 |\<union>| Uff3). \<exists>D \<in> fset (N3 |\<union>| Urr3 |\<union>| Uff3).
+      (ground_resolution D)\<^sup>+\<^sup>+ C Cr \<and>
+      (\<exists>Crr \<in> fset Urr3. (ground_resolution D)\<^sup>*\<^sup>* Cr Crr) \<or> (is_least_false_clause (N2 |\<union>| Ur2 |\<union>| Uff2) Cr))"
+
+lemma
+  assumes match: "L2_matches_L3 Const2 S2 Const3 S3"
+  shows "L2_final Const2 S2 \<longleftrightarrow> L2_final Const3 S3"
+proof -
+  from match obtain N Ur Uff Urr where
+    state_simps:
+      "Const2 = N"
+      "Const3 = N"
+      "S2 = (Ur, Uff)"
+      "S3 = (Urr, Uff)" and
+    Ur_spec: "
+      \<forall>Cr \<in> fset Ur.
+      \<exists>C \<in> fset (N |\<union>| Urr |\<union>| Uff).
+      \<exists>D \<in> fset (N |\<union>| Urr |\<union>| Uff).
+      (ground_resolution D)\<^sup>+\<^sup>+ C Cr \<and>
+      (\<exists>Crr \<in> fset Urr. (ground_resolution D)\<^sup>*\<^sup>* Cr Crr) \<or>
+        (is_least_false_clause (N |\<union>| Ur |\<union>| Uff) Cr)"
+    by (smt (verit) L2_matches_L3.elims(2))
+  oops
+end
+
 end
\ No newline at end of file

--- a/src/HOL/Tools/SMT/lethe_replay_methods.ML	Mon Feb 05 21:49:26 2024 +0100
+++ b/src/HOL/Tools/SMT/lethe_replay_methods.ML	Mon Feb 05 22:03:43 2024 +0100
@@ -793,7 +793,7 @@
 
   fun or_pos_prove ctxt _ =
      K (unfold_tac ctxt @{thms de_Morgan_disj not_not})
-     THEN' match_tac ctxt @{thms verit_and_pos}
+     THEN' match_tac ctxt @{thms verit_and_pos verit_farkas}
      THEN' K (unfold_tac ctxt @{thms de_Morgan_conj de_Morgan_disj not_not})
      THEN' TRY' (assume_tac ctxt)
 

--- a/src/HOL/Tools/SMT/smt_replay_arith.ML	Mon Feb 05 21:49:26 2024 +0100
+++ b/src/HOL/Tools/SMT/smt_replay_arith.ML	Mon Feb 05 22:03:43 2024 +0100
@@ -109,7 +109,7 @@
   |> Simplifier.full_simp_tac
 
 fun la_farkas args ctxt =
-  REPEAT' (resolve_tac ctxt @{thms verit_and_pos(3,4)})
+  REPEAT' (resolve_tac ctxt @{thms verit_farkas})
   THEN' TRY' (resolve_tac ctxt @{thms ccontr})
   THEN' TRY' (rewrite_only_thms ctxt @{thms linorder_class.not_less linorder_class.not_le not_not})
   THEN' (Subgoal.FOCUS (fn focus => la_farkas_tac focus args) ctxt)