renamed SMT certificate files, following 'SMT2' -> 'SMT' renaming
authorblanchet
Thu, 18 Sep 2014 00:03:46 +0200
changeset 58367 8af1e68d7e1a
parent 58366 5cf7df52d71d
child 58368 fe083c681ed8
child 58383 09a2c3e08ec2
renamed SMT certificate files, following 'SMT2' -> 'SMT' renaming
src/HOL/ROOT
src/HOL/SMT_Examples/Boogie.thy
src/HOL/SMT_Examples/Boogie_Dijkstra.certs
src/HOL/SMT_Examples/Boogie_Dijkstra.certs2
src/HOL/SMT_Examples/Boogie_Max.certs
src/HOL/SMT_Examples/Boogie_Max.certs2
src/HOL/SMT_Examples/SMT_Examples.certs
src/HOL/SMT_Examples/SMT_Examples.certs2
src/HOL/SMT_Examples/SMT_Examples.thy
src/HOL/SMT_Examples/SMT_Word_Examples.certs
src/HOL/SMT_Examples/SMT_Word_Examples.certs2
src/HOL/SMT_Examples/SMT_Word_Examples.thy
src/HOL/SMT_Examples/VCC_Max.certs
src/HOL/SMT_Examples/VCC_Max.certs2
--- a/src/HOL/ROOT	Thu Sep 18 00:02:45 2014 +0200
+++ b/src/HOL/ROOT	Thu Sep 18 00:03:46 2014 +0200
@@ -800,11 +800,11 @@
   theories [condition = ISABELLE_FULL_TEST]
     SMT_Tests
   files
-    "Boogie_Dijkstra.certs2"
-    "Boogie_Max.certs2"
-    "SMT_Examples.certs2"
-    "SMT_Word_Examples.certs2"
-    "VCC_Max.certs2"
+    "Boogie_Dijkstra.certs"
+    "Boogie_Max.certs"
+    "SMT_Examples.certs"
+    "SMT_Word_Examples.certs"
+    "VCC_Max.certs"
 
 session "HOL-SPARK" (main) in "SPARK" = "HOL-Word" +
   options [document = false]
--- a/src/HOL/SMT_Examples/Boogie.thy	Thu Sep 18 00:02:45 2014 +0200
+++ b/src/HOL/SMT_Examples/Boogie.thy	Thu Sep 18 00:03:46 2014 +0200
@@ -55,18 +55,18 @@
 declare [[smt_read_only_certificates = true]]
 
 
-declare [[smt_certificates = "Boogie_Max.certs2"]]
+declare [[smt_certificates = "Boogie_Max.certs"]]
 
 boogie_file Boogie_Max
 
 
-declare [[smt_certificates = "Boogie_Dijkstra.certs2"]]
+declare [[smt_certificates = "Boogie_Dijkstra.certs"]]
 
 boogie_file Boogie_Dijkstra
 
 
 declare [[z3_extensions = true]]
-declare [[smt_certificates = "VCC_Max.certs2"]]
+declare [[smt_certificates = "VCC_Max.certs"]]
 
 boogie_file VCC_Max
 
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/SMT_Examples/Boogie_Dijkstra.certs	Thu Sep 18 00:03:46 2014 +0200
@@ -0,0 +1,3045 @@
+9d6b81d96fb21c8c08e3f1fd649ce37bdafb5f92 3044 0
+unsat
+((set-logic AUFLIA)
+(declare-fun ?v0!19 () B_Vertex$)
+(declare-fun ?v1!18 () B_Vertex$)
+(declare-fun ?v0!20 () B_Vertex$)
+(declare-fun ?v0!17 () B_Vertex$)
+(declare-fun ?v1!16 () B_Vertex$)
+(declare-fun ?v0!15 () B_Vertex$)
+(declare-fun ?v0!14 () B_Vertex$)
+(declare-fun ?v0!13 () B_Vertex$)
+(declare-fun ?v0!12 () B_Vertex$)
+(declare-fun ?v0!11 () B_Vertex$)
+(declare-fun ?v1!10 () B_Vertex$)
+(declare-fun ?v1!9 (B_Vertex$) B_Vertex$)
+(declare-fun ?v0!8 () B_Vertex$)
+(declare-fun ?v1!7 (B_Vertex$) B_Vertex$)
+(declare-fun ?v1!6 (B_Vertex$) B_Vertex$)
+(declare-fun ?v0!5 () B_Vertex$)
+(declare-fun ?v0!4 () B_Vertex$)
+(declare-fun ?v1!3 () B_Vertex$)
+(declare-fun ?v0!2 () B_Vertex$)
+(declare-fun ?v1!1 () B_Vertex$)
+(declare-fun ?v0!0 () B_Vertex$)
+(proof
+(let ((?x1893 (v_b_SP_G_2$ ?v0!19)))
+(let ((?x1894 (* (- 1) ?x1893)))
+(let ((?x1892 (v_b_SP_G_2$ ?v1!18)))
+(let ((?x1884 (pair$ ?v1!18 ?v0!19)))
+(let ((?x1885 (b_G$ ?x1884)))
+(let (($x1896 (>= (+ ?x1885 ?x1892 ?x1894) 0)))
+(let (($x1888 (<= (+ b_Infinity$ (* (- 1) ?x1885)) 0)))
+(let (($x1883 (fun_app$ v_b_Visited_G_2$ ?v1!18)))
+(let (($x2791 (not $x1883)))
+(let (($x2806 (or $x2791 $x1888 $x1896)))
+(let (($x2811 (not $x2806)))
+(let (($x3729 (forall ((?v1 B_Vertex$) )(!(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let ((?x1912 (* (- 1) ?x1911)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x2242 (= (+ ?x273 ?x1912 (b_G$ (pair$ ?v1 ?v0!20))) 0)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x300 (not $x291)))
+(or (>= (+ ?x273 ?x1912) 0) $x300 (not $x2242)))))))) :pattern ( (v_b_SP_G_2$ ?v1) ) :pattern ( (fun_app$ v_b_Visited_G_2$ ?v1) ) :pattern ( (pair$ ?v1 ?v0!20) )))
+))
+(let (($x3734 (not $x3729)))
+(let (($x1914 (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_2$ ?v0!20))) 0)))
+(let (($x1909 (= ?v0!20 b_Source$)))
+(let (($x3720 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let ((?x303 (v_b_SP_G_2$ ?v0)))
+(let ((?x1263 (* (- 1) ?x303)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x300 (not $x291)))
+(or $x300 $x922 $x1282))))))))) :pattern ( (pair$ ?v1 ?v0) )))
+))
+(let (($x3725 (not $x3720)))
+(let (($x3737 (or $x3725 $x1909 $x1914 $x3734)))
+(let ((?x4393 (fun_app$c v_b_SP_G_1$ ?v0!20)))
+(let ((?x4418 (* (- 1) ?x4393)))
+(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let ((?x4419 (+ ?x1911 ?x4418)))
+(let (($x5977 (>= ?x4419 0)))
+(let (($x4400 (= ?x1911 ?x4393)))
+(let ((?x4434 (pair$ v_b_v_G_1$ ?v0!20)))
+(let ((?x4435 (b_G$ ?x4434)))
+(let ((?x4436 (* (- 1) ?x4435)))
+(let ((?x3104 (v_b_SP_G_2$ v_b_v_G_1$)))
+(let ((?x3105 (* (- 1) ?x3104)))
+(let ((?x4546 (+ ?x1911 ?x3105 ?x4436)))
+(let (($x4569 (<= ?x4546 0)))
+(let (($x3740 (not $x3737)))
+(let ((@x8092 (hypothesis $x3740)))
+(let ((@x3222 (def-axiom (or $x3737 $x3720))))
+(let (($x4161 (>= ?x3104 0)))
+(let (($x3703 (forall ((?v0 B_Vertex$) )(!(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(>= ?x273 0)) :pattern ( (v_b_SP_G_2$ ?v0) )))
+))
+(let (($x3743 (or $x2811 $x3740)))
+(let (($x3746 (not $x3743)))
+(let (($x3712 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let (($x1262 (>= (+ (v_b_SP_G_2$ ?v1) (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
+(let (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
+(let (($x2768 (not $x301)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(or $x291 $x2768 $x1262))))) :pattern ( (v_b_SP_G_2$ ?v1) (v_b_SP_G_2$ ?v0) )))
+))
+(let (($x3717 (not $x3712)))
+(let (($x3749 (or $x3717 $x3746)))
+(let (($x3752 (not $x3749)))
+(let (($x1869 (>= (+ (v_b_SP_G_2$ ?v1!16) (* (- 1) (v_b_SP_G_2$ ?v0!17))) 0)))
+(let (($x1862 (fun_app$ v_b_Visited_G_2$ ?v0!17)))
+(let (($x2745 (not $x1862)))
+(let (($x1860 (fun_app$ v_b_Visited_G_2$ ?v1!16)))
+(let (($x2760 (or $x1860 $x2745 $x1869)))
+(let (($x2765 (not $x2760)))
+(let (($x3755 (or $x2765 $x3752)))
+(let (($x3758 (not $x3755)))
+(let (($x3708 (not $x3703)))
+(let (($x3761 (or $x3708 $x3758)))
+(let (($x3764 (not $x3761)))
+(let ((?x1846 (v_b_SP_G_2$ ?v0!15)))
+(let (($x1847 (>= ?x1846 0)))
+(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let (($x3904 (>= ?x257 0)))
+(let (($x3556 (forall ((?v0 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(>= ?x174 0)) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+))
+(let (($x1848 (not $x1847)))
+(let (($x3767 (or $x1848 $x3764)))
+(let (($x3770 (not $x3767)))
+(let ((?x296 (v_b_SP_G_2$ b_Source$)))
+(let (($x297 (= ?x296 0)))
+(let (($x773 (not $x297)))
+(let (($x3773 (or $x773 $x3770)))
+(let (($x3776 (not $x3773)))
+(let (($x3779 (or $x773 $x3776)))
+(let (($x3782 (not $x3779)))
+(let (($x3695 (forall ((?v0 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let (($x278 (= ?x273 ?x174)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v0)))
+(let (($x300 (not $x291)))
+(or $x300 $x278)))))) :pattern ( (fun_app$ v_b_Visited_G_2$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) ) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+))
+(let (($x3700 (not $x3695)))
+(let (($x3785 (or $x3700 $x3782)))
+(let (($x3788 (not $x3785)))
+(let ((?x1827 (fun_app$c v_b_SP_G_1$ ?v0!14)))
+(let ((?x1826 (v_b_SP_G_2$ ?v0!14)))
+(let (($x1828 (= ?x1826 ?x1827)))
+(let (($x1829 (or (not (fun_app$ v_b_Visited_G_2$ ?v0!14)) $x1828)))
+(let (($x1830 (not $x1829)))
+(let (($x3791 (or $x1830 $x3788)))
+(let (($x3794 (not $x3791)))
+(let (($x3686 (forall ((?v0 B_Vertex$) )(!(>= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) (v_b_SP_G_2$ ?v0))) 0) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) )))
+))
+(let (($x3691 (not $x3686)))
+(let (($x3797 (or $x3691 $x3794)))
+(let (($x3800 (not $x3797)))
+(let ((?x1809 (v_b_SP_G_2$ ?v0!13)))
+(let ((?x1810 (* (- 1) ?x1809)))
+(let ((?x1808 (fun_app$c v_b_SP_G_1$ ?v0!13)))
+(let ((?x1811 (+ ?x1808 ?x1810)))
+(let (($x1812 (>= ?x1811 0)))
+(let (($x1813 (not $x1812)))
+(let (($x3803 (or $x1813 $x3800)))
+(let (($x3806 (not $x3803)))
+(let (($x3678 (forall ((?v0 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let (($x278 (= ?x273 ?x174)))
+(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let ((?x1173 (* (- 1) ?x257)))
+(let (($x1175 (<= (+ ?x174 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
+(let (($x1169 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
+(let (($x2717 (or $x1169 $x1175)))
+(let (($x2718 (not $x2717)))
+(or $x2718 $x278)))))))))) :pattern ( (pair$ v_b_v_G_1$ ?v0) ) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) )))
+))
+(let (($x3683 (not $x3678)))
+(let (($x3670 (forall ((?v0 B_Vertex$) )(!(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let ((?x1186 (* (- 1) ?x273)))
+(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
+(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let (($x1185 (= (+ ?x257 ?x268 ?x1186) 0)))
+(let (($x1175 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) ?x257) (* (- 1) ?x268)) 0)))
+(let (($x1169 (<= (+ b_Infinity$ (* (- 1) ?x268)) 0)))
+(or $x1169 $x1175 $x1185)))))))) :pattern ( (pair$ v_b_v_G_1$ ?v0) ) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) )))
+))
+(let (($x3675 (not $x3670)))
+(let ((?x263 (fun_upd$ v_b_Visited_G_1$)))
+(let ((?x264 (fun_app$b ?x263 v_b_v_G_1$)))
+(let ((?x265 (fun_app$a ?x264 true)))
+(let (($x266 (= v_b_Visited_G_2$ ?x265)))
+(let (($x2935 (not $x266)))
+(let (($x3660 (forall ((?v0 B_Vertex$) )(!(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let ((?x1173 (* (- 1) ?x257)))
+(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
+(or $x178 (>= (+ ?x174 ?x1173) 0)))))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v0) ) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+))
+(let (($x3665 (not $x3660)))
+(let ((?x1173 (* (- 1) ?x257)))
+(let ((?x1212 (+ b_Infinity$ ?x1173)))
+(let (($x1213 (<= ?x1212 0)))
+(let (($x255 (fun_app$ v_b_Visited_G_1$ v_b_v_G_1$)))
+(let ((?x1775 (fun_app$c v_b_SP_G_1$ ?v0!12)))
+(let ((?x1776 (* (- 1) ?x1775)))
+(let ((?x1777 (+ b_Infinity$ ?x1776)))
+(let (($x1778 (<= ?x1777 0)))
+(let (($x1773 (fun_app$ v_b_Visited_G_1$ ?v0!12)))
+(let (($x3809 (or $x1773 $x1778 $x255 $x1213 $x3665 $x2935 $x3675 $x3683 $x3806)))
+(let (($x3812 (not $x3809)))
+(let ((?x245 (fun_app$c v_b_SP_G_3$ b_Source$)))
+(let (($x246 (= ?x245 0)))
+(let (($x3622 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x1140 (>= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
+(or $x1099 $x922 $x1140)))))) :pattern ( (pair$ ?v1 ?v0) )))
+))
+(let (($x3627 (not $x3622)))
+(let (($x3630 (or $x3627 $x246)))
+(let (($x3633 (not $x3630)))
+(let ((?x1734 (fun_app$c v_b_SP_G_3$ ?v0!11)))
+(let ((?x1735 (* (- 1) ?x1734)))
+(let ((?x1726 (pair$ ?v1!10 ?v0!11)))
+(let ((?x1727 (b_G$ ?x1726)))
+(let ((?x1721 (fun_app$c v_b_SP_G_3$ ?v1!10)))
+(let ((?x2206 (+ ?x1721 ?x1727 ?x1735)))
+(let (($x2209 (>= ?x2206 0)))
+(let (($x1730 (<= (+ b_Infinity$ (* (- 1) ?x1727)) 0)))
+(let (($x1724 (<= (+ b_Infinity$ (* (- 1) ?x1721)) 0)))
+(let (($x2645 (or $x1724 $x1730 $x2209)))
+(let (($x2650 (not $x2645)))
+(let (($x3636 (or $x2650 $x3633)))
+(let (($x3639 (not $x3636)))
+(let (($x3614 (forall ((?v0 B_Vertex$) )(!(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
+(let ((?x2191 (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!9 ?v0) ?v0))))))
+(let (($x2192 (= ?x2191 0)))
+(let (($x2176 (<= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0)))) 0)))
+(let (($x2617 (not (or $x2176 (not $x2192)))))
+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
+(let (($x127 (= ?v0 b_Source$)))
+(or $x127 $x1099 $x2617)))))))) :pattern ( (fun_app$c v_b_SP_G_3$ ?v0) )))
+))
+(let (($x3619 (not $x3614)))
+(let (($x3642 (or $x3619 $x3639)))
+(let (($x3645 (not $x3642)))
+(let (($x3600 (forall ((?v1 B_Vertex$) )(!(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(let ((?x1662 (* (- 1) ?x1661)))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x2148 (= (+ ?x230 ?x1662 (b_G$ (pair$ ?v1 ?v0!8))) 0)))
+(or (>= (+ ?x230 ?x1662) 0) (not $x2148)))))) :pattern ( (fun_app$c v_b_SP_G_3$ ?v1) ) :pattern ( (pair$ ?v1 ?v0!8) )))
+))
+(let (($x3605 (not $x3600)))
+(let (($x1664 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0!8))) 0)))
+(let (($x1659 (= ?v0!8 b_Source$)))
+(let (($x3608 (or $x1659 $x1664 $x3605)))
+(let (($x3611 (not $x3608)))
+(let (($x3648 (or $x3611 $x3645)))
+(let (($x3651 (not $x3648)))
+(let (($x220 (= v_b_oldSP_G_1$ v_b_oldSP_G_0$)))
+(let (($x2709 (not $x220)))
+(let (($x217 (= v_b_SP_G_3$ v_b_SP_G_1$)))
+(let (($x2708 (not $x217)))
+(let (($x215 (= v_b_v_G_2$ v_b_v_G_0$)))
+(let (($x2707 (not $x215)))
+(let (($x212 (= v_b_Visited_G_3$ v_b_Visited_G_1$)))
+(let (($x2706 (not $x212)))
+(let (($x3590 (forall ((?v0 B_Vertex$) )(!(let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
+(or $x178 $x1002))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v0) ) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+))
+(let (($x3595 (not $x3590)))
+(let (($x3654 (or $x3595 $x2706 $x2707 $x2708 $x2709 $x3651)))
+(let (($x3657 (not $x3654)))
+(let (($x3815 (or $x3657 $x3812)))
+(let (($x3818 (not $x3815)))
+(let (($x3581 (forall ((?v0 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let ((?x2128 (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!7 ?v0) ?v0))))))
+(let (($x2129 (= ?x2128 0)))
+(let (($x2113 (<= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?v0)))) 0)))
+(let (($x2551 (not (or $x2113 (not (fun_app$ v_b_Visited_G_1$ (?v1!7 ?v0))) (not $x2129)))))
+(let (($x1002 (<= (+ b_Infinity$ (* (- 1) ?x174)) 0)))
+(let (($x127 (= ?v0 b_Source$)))
+(or $x127 $x1002 $x2551)))))))) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+))
+(let (($x3586 (not $x3581)))
+(let (($x3573 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x990 (>= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
+(let (($x179 (not $x178)))
+(or $x179 $x922 $x990))))))) :pattern ( (pair$ ?v1 ?v0) )))
+))
+(let (($x3578 (not $x3573)))
+(let (($x3565 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
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+(let ((@x1281 (monotonicity (monotonicity @x925 (= (and $x291 (< ?x155 b_Infinity$)) $x1276)) (= (not (and $x291 (< ?x155 b_Infinity$))) $x1279))))
+(let ((@x1291 (quant-intro (monotonicity @x1281 (rewrite (= $x674 $x1282)) (= $x681 $x1286)) (= $x686 $x1289))))
+(let ((@x1334 (monotonicity (monotonicity @x1291 (= (not $x686) $x1292)) (quant-intro @x1328 (= $x710 $x1329)) (= $x738 $x1332))))
+(let (($x301 (fun_app$ v_b_Visited_G_2$ ?1)))
+(let (($x300 (not $x291)))
+(let (($x302 (and $x300 $x301)))
+(let (($x664 (not $x302)))
+(let (($x1267 (or $x664 $x1262)))
+(let (($x304 (<= ?x303 ?x273)))
+(let (($x665 (or $x664 $x304)))
+(let ((@x1272 (quant-intro (monotonicity (rewrite (= $x304 $x1262)) (= $x665 $x1267)) (= $x668 $x1270))))
+(let ((@x1340 (monotonicity (monotonicity @x1272 (= (not $x668) $x1273)) (monotonicity @x1291 @x1334 (= $x743 $x1335)) (= $x750 $x1338))))
+(let ((@x1258 (quant-intro (rewrite (= (<= 0 ?x273) (>= ?x273 0))) (= $x299 $x1256))))
+(let ((@x1346 (monotonicity (monotonicity @x1258 (= (not $x299) $x1259)) (monotonicity @x1272 @x1340 (= $x755 $x1341)) (= $x762 $x1344))))
+(let ((@x1352 (monotonicity (monotonicity @x1258 @x1346 (= $x767 $x1347)) (= $x774 $x1350))))
+(let ((@x1361 (monotonicity (monotonicity (monotonicity @x1352 (= $x779 $x1353)) (= $x786 $x1356)) (= $x791 $x1359))))
+(let (($x1243 (>= (+ (fun_app$c v_b_SP_G_1$ ?0) (* (- 1) ?x273)) 0)))
+(let ((@x1249 (quant-intro (rewrite (= (<= ?x273 (fun_app$c v_b_SP_G_1$ ?0)) $x1243)) (= $x290 $x1247))))
+(let ((@x1364 (monotonicity (monotonicity @x1249 (= (not $x290) $x1250)) @x1361 (= $x798 $x1362))))
+(let (($x1232 (and $x1080 (and $x256 (and $x1214 (and $x1209 (and $x266 (and $x1193 $x1199))))))))
+(let (($x1230 (= $x632 (and $x256 (and $x1214 (and $x1209 (and $x266 (and $x1193 $x1199))))))))
+(let ((?x174 (fun_app$c v_b_SP_G_1$ ?0)))
+(let (($x278 (= ?x273 ?x174)))
+(let (($x1175 (<= (+ ?x174 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?0)))) 0)))
+(let (($x1169 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?0)))) 0)))
+(let (($x1179 (and (not $x1169) (not $x1175))))
+(let (($x1196 (or $x1179 $x278)))
+(let (($x272 (and (< (b_G$ (pair$ v_b_v_G_1$ ?0)) b_Infinity$) (< (+ ?x257 (b_G$ (pair$ v_b_v_G_1$ ?0))) ?x174))))
+(let (($x614 (or $x272 $x278)))
+(let ((@x1178 (rewrite (= (< (+ ?x257 (b_G$ (pair$ v_b_v_G_1$ ?0))) ?x174) (not $x1175)))))
+(let ((@x1172 (rewrite (= (< (b_G$ (pair$ v_b_v_G_1$ ?0)) b_Infinity$) (not $x1169)))))
+(let ((@x1198 (monotonicity (monotonicity @x1172 @x1178 (= $x272 $x1179)) (= $x614 $x1196))))
+(let (($x1185 (= (+ ?x257 (b_G$ (pair$ v_b_v_G_1$ ?0)) (* (- 1) ?x273)) 0)))
+(let (($x1182 (not $x1179)))
+(let (($x1190 (or $x1182 $x1185)))
+(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?0))))
+(let ((?x270 (+ ?x257 ?x268)))
+(let (($x274 (= ?x273 ?x270)))
+(let (($x277 (not $x272)))
+(let (($x608 (or $x277 $x274)))
+(let ((@x1184 (monotonicity (monotonicity @x1172 @x1178 (= $x272 $x1179)) (= $x277 $x1182))))
+(let ((@x1195 (quant-intro (monotonicity @x1184 (rewrite (= $x274 $x1185)) (= $x608 $x1190)) (= $x611 $x1193))))
+(let ((@x1219 (monotonicity @x1195 (quant-intro @x1198 (= $x617 $x1199)) (= $x620 (and $x1193 $x1199)))))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?0)))
+(let (($x1206 (or $x178 (>= (+ ?x174 ?x1173) 0))))
+(let (($x259 (<= ?x257 ?x174)))
+(let (($x602 (or $x178 $x259)))
+(let ((@x1208 (monotonicity (rewrite (= $x259 (>= (+ ?x174 ?x1173) 0))) (= $x602 $x1206))))
+(let ((@x1225 (monotonicity (quant-intro @x1208 (= $x605 $x1209)) (monotonicity @x1219 (= $x623 (and $x266 (and $x1193 $x1199)))) (= $x626 (and $x1209 (and $x266 (and $x1193 $x1199)))))))
+(let ((@x1228 (monotonicity (rewrite (= $x258 $x1214)) @x1225 (= $x629 (and $x1214 (and $x1209 (and $x266 (and $x1193 $x1199))))))))
+(let (($x1002 (<= (+ b_Infinity$ (* (- 1) ?x174)) 0)))
+(let (($x1003 (not $x1002)))
+(let (($x179 (not $x178)))
+(let (($x1077 (and $x179 $x1003)))
+(let ((@x1079 (monotonicity (rewrite (= (< ?x174 b_Infinity$) $x1003)) (= (and $x179 (< ?x174 b_Infinity$)) $x1077))))
+(let ((@x1234 (monotonicity (quant-intro @x1079 (= $x209 $x1080)) (monotonicity @x1228 $x1230) (= $x635 $x1232))))
+(let ((@x1242 (monotonicity (trans @x1234 (rewrite (= $x1232 $x1235)) (= $x635 $x1235)) (= (not $x635) $x1240))))
+(let ((@x1370 (monotonicity @x1242 (monotonicity @x1249 @x1364 (= $x803 $x1365)) (= $x810 $x1368))))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?0)))
+(let (($x1140 (>= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?1))) 0)))
+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
+(let (($x1100 (not $x1099)))
+(let (($x1134 (and $x1100 $x923)))
+(let (($x1137 (not $x1134)))
+(let (($x1143 (or $x1137 $x1140)))
+(let ((?x521 (+ ?x155 ?x230)))
+(let ((?x233 (fun_app$c v_b_SP_G_3$ ?1)))
+(let (($x545 (<= ?x233 ?x521)))
+(let (($x552 (or (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x545)))
+(let ((@x1136 (monotonicity (rewrite (= (< ?x230 b_Infinity$) $x1100)) @x925 (= (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$)) $x1134))))
+(let ((@x1139 (monotonicity @x1136 (= (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x1137))))
+(let ((@x1148 (quant-intro (monotonicity @x1139 (rewrite (= $x545 $x1140)) (= $x552 $x1143)) (= $x557 $x1146))))
+(let ((@x1154 (monotonicity (monotonicity @x1148 (= (not $x557) $x1149)) (= $x573 $x1152))))
+(let (($x1122 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(and (not (>= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?0))) 0)) (= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?0))) 0)))))
+))
+(let (($x1103 (and $x132 $x1100)))
+(let (($x1106 (not $x1103)))
+(let (($x1125 (or $x1106 $x1122)))
+(let (($x530 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let ((?x521 (+ ?x155 ?x230)))
+(let ((?x233 (fun_app$c v_b_SP_G_3$ ?0)))
+(let (($x524 (= ?x233 ?x521)))
+(let (($x234 (< ?x230 ?x233)))
+(and $x234 $x524))))))))
+))
+(let (($x537 (or (not (and $x132 (< ?x230 b_Infinity$))) $x530)))
+(let (($x1119 (and (not (>= (+ ?x230 (* (- 1) ?x233)) 0)) (= (+ ?x155 ?x230 (* (- 1) ?x233)) 0))))
+(let (($x524 (= ?x233 ?x521)))
+(let (($x234 (< ?x230 ?x233)))
+(let (($x527 (and $x234 $x524)))
+(let ((@x1121 (monotonicity (rewrite (= $x234 (not (>= (+ ?x230 (* (- 1) ?x233)) 0)))) (rewrite (= $x524 (= (+ ?x155 ?x230 (* (- 1) ?x233)) 0))) (= $x527 $x1119))))
+(let ((@x1105 (monotonicity (rewrite (= (< ?x230 b_Infinity$) $x1100)) (= (and $x132 (< ?x230 b_Infinity$)) $x1103))))
+(let ((@x1127 (monotonicity (monotonicity @x1105 (= (not (and $x132 (< ?x230 b_Infinity$))) $x1106)) (quant-intro @x1121 (= $x530 $x1122)) (= $x537 $x1125))))
+(let ((@x1133 (monotonicity (quant-intro @x1127 (= $x542 $x1128)) (= (not $x542) $x1131))))
+(let ((@x1160 (monotonicity @x1133 (monotonicity @x1148 @x1154 (= $x578 $x1155)) (= $x585 $x1158))))
+(let ((@x1091 (rewrite (= (and $x1083 (and $x212 (and $x215 (and $x217 $x220)))) $x1089))))
+(let (($x493 (and $x212 (and $x215 (and $x217 $x220)))))
+(let (($x507 (and $x210 $x493)))
+(let ((@x1088 (monotonicity (monotonicity (quant-intro @x1079 (= $x209 $x1080)) (= $x210 $x1083)) (= $x507 (and $x1083 $x493)))))
+(let ((@x1096 (monotonicity (trans @x1088 @x1091 (= $x507 $x1089)) (= (not $x507) $x1094))))
+(let ((@x1166 (monotonicity @x1096 (monotonicity (quant-intro @x1127 (= $x542 $x1128)) @x1160 (= $x590 $x1161)) (= $x597 $x1164))))
+(let (($x1070 (= (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))) $x1069)))
+(let (($x1067 (= $x482 (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))))))
+(let (($x1031 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
+(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
+(let (($x1017 (not $x1015)))
+(and $x1017 $x178 $x1012))))))))
+))
+(let (($x1006 (and $x132 $x1003)))
+(let (($x1009 (not $x1006)))
+(let (($x1034 (or $x1009 $x1031)))
+(let (($x437 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let ((?x410 (+ ?x155 ?x174)))
+(let ((?x182 (fun_app$c v_b_SP_G_1$ ?0)))
+(let (($x428 (= ?x182 ?x410)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
+(let (($x431 (and $x178 $x428)))
+(let (($x193 (< ?x174 ?x182)))
+(and $x193 $x431))))))))))
+))
+(let (($x444 (or (not (and $x132 (< ?x174 b_Infinity$))) $x437)))
+(let (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?1))) 0)))
+(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?1))) 0)))
+(let (($x1017 (not $x1015)))
+(let (($x1026 (and $x1017 $x178 $x1012)))
+(let ((?x410 (+ ?x155 ?x174)))
+(let ((?x182 (fun_app$c v_b_SP_G_1$ ?1)))
+(let (($x428 (= ?x182 ?x410)))
+(let (($x431 (and $x178 $x428)))
+(let (($x193 (< ?x174 ?x182)))
+(let (($x434 (and $x193 $x431)))
+(let ((@x1025 (monotonicity (rewrite (= $x193 $x1017)) (monotonicity (rewrite (= $x428 $x1012)) (= $x431 (and $x178 $x1012))) (= $x434 (and $x1017 (and $x178 $x1012))))))
+(let ((@x1030 (trans @x1025 (rewrite (= (and $x1017 (and $x178 $x1012)) $x1026)) (= $x434 $x1026))))
+(let ((@x1008 (monotonicity (rewrite (= (< ?x174 b_Infinity$) $x1003)) (= (and $x132 (< ?x174 b_Infinity$)) $x1006))))
+(let ((@x1036 (monotonicity (monotonicity @x1008 (= (not (and $x132 (< ?x174 b_Infinity$))) $x1009)) (quant-intro @x1030 (= $x437 $x1031)) (= $x444 $x1034))))
+(let (($x990 (>= (+ ?x155 ?x174 (* (- 1) ?x182)) 0)))
+(let (($x983 (and $x178 $x923)))
+(let (($x986 (not $x983)))
+(let (($x994 (or $x986 $x990)))
+(let (($x413 (<= ?x182 ?x410)))
+(let (($x420 (or (not (and $x178 (< ?x155 b_Infinity$))) $x413)))
+(let ((@x988 (monotonicity (monotonicity @x925 (= (and $x178 (< ?x155 b_Infinity$)) $x983)) (= (not (and $x178 (< ?x155 b_Infinity$))) $x986))))
+(let ((@x999 (quant-intro (monotonicity @x988 (rewrite (= $x413 $x990)) (= $x420 $x994)) (= $x425 $x997))))
+(let ((@x1056 (monotonicity @x999 (quant-intro @x1036 (= $x449 $x1037)) (= $x459 (and $x997 $x1037)))))
+(let (($x180 (fun_app$ v_b_Visited_G_1$ ?1)))
+(let (($x181 (and $x179 $x180)))
+(let (($x403 (not $x181)))
+(let (($x1042 (or $x403 $x1015)))
+(let (($x183 (<= ?x182 ?x174)))
+(let (($x404 (or $x403 $x183)))
+(let ((@x1047 (quant-intro (monotonicity (rewrite (= $x183 $x1015)) (= $x404 $x1042)) (= $x407 $x1045))))
+(let ((@x1053 (quant-intro (rewrite (= (<= 0 ?x174) (>= ?x174 0))) (= $x176 $x1051))))
+(let ((@x1062 (monotonicity @x1053 (monotonicity @x1047 @x1056 (= $x462 (and $x1045 (and $x997 $x1037)))) (= $x465 (and $x1051 (and $x1045 (and $x997 $x1037)))))))
+(let ((@x1065 (monotonicity @x1062 (= $x468 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))))))
+(let (($x974 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let ((?x128 (v_b_SP_G_0$ ?v1)))
+(let (($x957 (= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?0)) ?x155) 0)))
+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x907 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?0))) 0)))
+(let (($x960 (not $x907)))
+(and $x960 $x136 $x957))))))))
+))
+(let (($x951 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
+(let (($x954 (not $x951)))
+(let (($x977 (or $x954 $x974)))
+(let (($x168 (exists ((?v1 B_Vertex$) )(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x166 (and $x136 (= (v_b_SP_G_0$ ?0) (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
+(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?0)) $x166))))
+))
+(let (($x397 (or (not (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x168)))
+(let (($x957 (= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x155) 0)))
+(let (($x136 (v_b_Visited_G_0$ ?0)))
+(let (($x907 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1))) 0)))
+(let (($x960 (not $x907)))
+(let (($x969 (and $x960 $x136 $x957)))
+(let (($x167 (and (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) (and $x136 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155))))))
+(let (($x964 (= (and $x136 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155))) (and $x136 $x957))))
+(let ((@x959 (rewrite (= (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155)) $x957))))
+(let ((@x968 (monotonicity (rewrite (= (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) $x960)) (monotonicity @x959 $x964) (= $x167 (and $x960 (and $x136 $x957))))))
+(let ((@x973 (trans @x968 (rewrite (= (and $x960 (and $x136 $x957)) $x969)) (= $x167 $x969))))
+(let (($x949 (= (< (v_b_SP_G_0$ ?0) b_Infinity$) (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
+(let ((@x953 (monotonicity (rewrite $x949) (= (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$)) $x951))))
+(let ((@x956 (monotonicity @x953 (= (not (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x954))))
+(let ((@x982 (quant-intro (monotonicity @x956 (quant-intro @x973 (= $x168 $x974)) (= $x397 $x977)) (= $x400 $x980))))
+(let ((@x1076 (monotonicity (trans (monotonicity @x982 @x1065 $x1067) (rewrite $x1070) (= $x482 $x1069)) (= (not $x482) $x1074))))
+(let ((@x1376 (monotonicity @x1076 (monotonicity @x1166 @x1370 (= $x815 $x1371)) (= $x822 $x1374))))
+(let (($x933 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x155) 0)))
+(let (($x926 (and $x136 $x923)))
+(let (($x929 (not $x926)))
+(let (($x936 (or $x929 $x933)))
+(let ((?x150 (v_b_SP_G_0$ ?1)))
+(let (($x159 (<= ?x150 (+ (v_b_SP_G_0$ ?0) ?x155))))
+(let (($x390 (or (not (and $x136 (< ?x155 b_Infinity$))) $x159)))
+(let ((@x931 (monotonicity (monotonicity @x925 (= (and $x136 (< ?x155 b_Infinity$)) $x926)) (= (not (and $x136 (< ?x155 b_Infinity$))) $x929))))
+(let ((@x941 (quant-intro (monotonicity @x931 (rewrite (= $x159 $x933)) (= $x390 $x936)) (= $x393 $x939))))
+(let ((@x1382 (monotonicity (monotonicity @x941 (= (not $x393) $x942)) (monotonicity @x982 @x1376 (= $x827 $x1377)) (= $x834 $x1380))))
+(let (($x148 (v_b_Visited_G_0$ ?1)))
+(let (($x137 (not $x136)))
+(let (($x149 (and $x137 $x148)))
+(let (($x382 (not $x149)))
+(let (($x911 (or $x382 $x907)))
+(let ((?x128 (v_b_SP_G_0$ ?0)))
+(let (($x151 (<= ?x150 ?x128)))
+(let (($x383 (or $x382 $x151)))
+(let ((@x916 (quant-intro (monotonicity (rewrite (= $x151 $x907)) (= $x383 $x911)) (= $x386 $x914))))
+(let ((@x1388 (monotonicity (monotonicity @x916 (= (not $x386) $x917)) (monotonicity @x941 @x1382 (= $x839 $x1383)) (= $x846 $x1386))))
+(let ((@x901 (quant-intro (rewrite (= (<= 0 ?x128) (>= ?x128 0))) (= $x147 $x899))))
+(let ((@x1394 (monotonicity (monotonicity @x901 (= (not $x147) $x902)) (monotonicity @x916 @x1388 (= $x851 $x1389)) (= $x858 $x1392))))
+(let ((@x1400 (monotonicity (monotonicity @x901 @x1394 (= $x863 $x1395)) (= $x870 $x1398))))
+(let ((@x895 (monotonicity (rewrite (= (and $x354 (and $x360 $x138)) $x890)) (= (not (and $x354 (and $x360 $x138))) (not $x890)))))
+(let ((@x1406 (monotonicity @x895 (monotonicity @x1400 (= $x875 $x1401)) (= $x882 (or (not $x890) $x1401)))))
+(let (($x318 (exists ((?v1 B_Vertex$) )(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x316 (and $x291 (= (v_b_SP_G_2$ ?0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
+(let ((?x303 (v_b_SP_G_2$ ?0)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x314 (< ?x273 ?x303)))
+(and $x314 $x316)))))))
+))
+(let (($x313 (and $x132 (< ?x273 b_Infinity$))))
+(let (($x319 (=> $x313 $x318)))
+(let ((@x691 (monotonicity (rewrite (= (+ ?x273 ?x155) ?x671)) (= (= ?x303 (+ ?x273 ?x155)) $x689))))
+(let ((@x697 (monotonicity (monotonicity @x691 (= (and $x291 (= ?x303 (+ ?x273 ?x155))) $x692)) (= (and $x314 (and $x291 (= ?x303 (+ ?x273 ?x155)))) $x695))))
+(let ((@x703 (monotonicity (quant-intro @x697 (= $x318 $x698)) (= $x319 (=> $x313 $x698)))))
+(let ((@x712 (quant-intro (trans @x703 (rewrite (= (=> $x313 $x698) $x705)) (= $x319 $x705)) (= $x320 $x710))))
+(let ((@x719 (trans (monotonicity @x712 (= $x321 (and $x710 false))) (rewrite (= (and $x710 false) false)) (= $x321 false))))
+(let ((@x726 (trans (monotonicity @x719 (= $x322 (=> false true))) (rewrite (= (=> false true) true)) (= $x322 true))))
+(let ((@x733 (trans (monotonicity @x712 @x726 (= $x323 (and $x710 true))) (rewrite (= (and $x710 true) $x710)) (= $x323 $x710))))
+(let (($x156 (< ?x155 b_Infinity$)))
+(let (($x307 (and $x291 $x156)))
+(let (($x310 (=> $x307 (<= ?x303 (+ ?x273 ?x155)))))
+(let ((@x676 (monotonicity (rewrite (= (+ ?x273 ?x155) ?x671)) (= (<= ?x303 (+ ?x273 ?x155)) $x674))))
+(let ((@x685 (trans (monotonicity @x676 (= $x310 (=> $x307 $x674))) (rewrite (= (=> $x307 $x674) $x681)) (= $x310 $x681))))
+(let ((@x736 (monotonicity (quant-intro @x685 (= $x311 $x686)) @x733 (= $x324 (=> $x686 $x710)))))
+(let ((@x745 (monotonicity (quant-intro @x685 (= $x311 $x686)) (trans @x736 (rewrite (= (=> $x686 $x710) $x738)) (= $x324 $x738)) (= (and $x311 $x324) $x743))))
+(let ((@x748 (monotonicity (quant-intro (rewrite (= (=> $x302 $x304) $x665)) (= $x306 $x668)) @x745 (= $x326 (=> $x668 $x743)))))
+(let ((@x757 (monotonicity (quant-intro (rewrite (= (=> $x302 $x304) $x665)) (= $x306 $x668)) (trans @x748 (rewrite (= (=> $x668 $x743) $x750)) (= $x326 $x750)) (= (and $x306 $x326) $x755))))
+(let ((@x766 (trans (monotonicity @x757 (= $x328 (=> $x299 $x755))) (rewrite (= (=> $x299 $x755) $x762)) (= $x328 $x762))))
+(let ((@x772 (monotonicity (monotonicity @x766 (= (and $x299 $x328) $x767)) (= $x330 (=> $x297 $x767)))))
+(let ((@x781 (monotonicity (trans @x772 (rewrite (= (=> $x297 $x767) $x774)) (= $x330 $x774)) (= (and $x297 $x330) $x779))))
+(let ((@x654 (quant-intro (rewrite (= (=> $x291 $x278) (or $x300 $x278))) (= $x293 $x652))))
+(let ((@x659 (monotonicity @x654 (rewrite (= (and true true) true)) (= $x295 (and $x652 true)))))
+(let ((@x784 (monotonicity (trans @x659 (rewrite (= (and $x652 true) $x652)) (= $x295 $x652)) @x781 (= $x332 (=> $x652 $x779)))))
+(let ((@x793 (monotonicity @x654 (trans @x784 (rewrite (= (=> $x652 $x779) $x786)) (= $x332 $x786)) (= (and $x293 $x332) $x791))))
+(let ((@x802 (trans (monotonicity @x793 (= $x334 (=> $x290 $x791))) (rewrite (= (=> $x290 $x791) $x798)) (= $x334 $x798))))
+(let (($x633 (= (and $x256 (and $x258 (and $x261 (and $x266 (and $x276 $x280))))) $x632)))
+(let ((@x622 (monotonicity (quant-intro (rewrite (= (=> $x272 $x274) $x608)) (= $x276 $x611)) (quant-intro (rewrite (= (=> $x277 $x278) $x614)) (= $x280 $x617)) (= (and $x276 $x280) $x620))))
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+(let ((@x631 (monotonicity @x628 (= (and $x258 (and $x261 (and $x266 (and $x276 $x280)))) $x629))))
+(let ((@x640 (monotonicity (monotonicity (monotonicity @x631 $x633) (= $x286 $x635)) (= $x287 (and true $x635)))))
+(let ((@x646 (monotonicity (trans @x640 (rewrite (= (and true $x635) $x635)) (= $x287 $x635)) (= $x288 (and true $x635)))))
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+(let (($x231 (< ?x230 b_Infinity$)))
+(let (($x241 (and $x231 $x156)))
+(let (($x243 (=> $x241 (<= ?x233 (+ ?x230 ?x155)))))
+(let ((@x547 (monotonicity (rewrite (= (+ ?x230 ?x155) ?x521)) (= (<= ?x233 (+ ?x230 ?x155)) $x545))))
+(let ((@x556 (trans (monotonicity @x547 (= $x243 (=> $x241 $x545))) (rewrite (= (=> $x241 $x545) $x552)) (= $x243 $x552))))
+(let ((@x571 (monotonicity (quant-intro @x556 (= $x244 $x557)) (trans @x564 (rewrite (= (and $x246 true) $x246)) (= $x248 $x246)) (= $x249 (=> $x557 $x246)))))
+(let ((@x580 (monotonicity (quant-intro @x556 (= $x244 $x557)) (trans @x571 (rewrite (= (=> $x557 $x246) $x573)) (= $x249 $x573)) (= (and $x244 $x249) $x578))))
+(let (($x238 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let ((?x235 (+ ?x230 ?x155)))
+(let ((?x233 (fun_app$c v_b_SP_G_3$ ?0)))
+(let (($x234 (< ?x230 ?x233)))
+(and $x234 (= ?x233 ?x235))))))))
+))
+(let (($x232 (and $x132 $x231)))
+(let (($x239 (=> $x232 $x238)))
+(let ((@x526 (monotonicity (rewrite (= (+ ?x230 ?x155) ?x521)) (= (= ?x233 (+ ?x230 ?x155)) $x524))))
+(let ((@x532 (quant-intro (monotonicity @x526 (= (and $x234 (= ?x233 (+ ?x230 ?x155))) $x527)) (= $x238 $x530))))
+(let ((@x541 (trans (monotonicity @x532 (= $x239 (=> $x232 $x530))) (rewrite (= (=> $x232 $x530) $x537)) (= $x239 $x537))))
+(let ((@x583 (monotonicity (quant-intro @x541 (= $x240 $x542)) @x580 (= $x251 (=> $x542 $x578)))))
+(let ((@x592 (monotonicity (quant-intro @x541 (= $x240 $x542)) (trans @x583 (rewrite (= (=> $x542 $x578) $x585)) (= $x251 $x585)) (= (and $x240 $x251) $x590))))
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+(let ((@x489 (monotonicity (rewrite (= (and $x220 true) $x220)) (= (and $x217 (and $x220 true)) (and $x217 $x220)))))
+(let ((@x495 (monotonicity (monotonicity @x489 $x491) (= (and $x212 (and $x215 (and $x217 (and $x220 true)))) $x493))))
+(let ((@x502 (trans (monotonicity @x495 (= $x225 (and true $x493))) (rewrite (= (and true $x493) $x493)) (= $x225 $x493))))
+(let ((@x506 (trans (monotonicity @x502 (= $x226 (and true $x493))) (rewrite (= (and true $x493) $x493)) (= $x226 $x493))))
+(let ((@x512 (monotonicity (monotonicity @x506 (= (and $x210 $x226) $x507)) (= $x228 (and true $x507)))))
+(let ((@x518 (monotonicity (trans @x512 (rewrite (= (and true $x507) $x507)) (= $x228 $x507)) (= $x229 (and true $x507)))))
+(let ((@x595 (monotonicity (trans @x518 (rewrite (= (and true $x507) $x507)) (= $x229 $x507)) @x592 (= $x253 (=> $x507 $x590)))))
+(let ((@x817 (monotonicity (trans @x595 (rewrite (= (=> $x507 $x590) $x597)) (= $x253 $x597)) (trans @x808 (rewrite (= (=> $x635 $x803) $x810)) (= $x336 $x810)) (= (and $x253 $x336) $x815))))
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+(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let ((?x187 (+ ?x174 ?x155)))
+(let ((?x182 (fun_app$c v_b_SP_G_1$ ?0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
+(let (($x193 (< ?x174 ?x182)))
+(and $x193 (and $x178 (= ?x182 ?x187))))))))))
+))
+(let (($x191 (< ?x174 b_Infinity$)))
+(let (($x192 (and $x132 $x191)))
+(let (($x198 (=> $x192 $x197)))
+(let ((@x430 (monotonicity (rewrite (= (+ ?x174 ?x155) ?x410)) (= (= ?x182 (+ ?x174 ?x155)) $x428))))
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+(let ((@x442 (monotonicity (quant-intro @x436 (= $x197 $x437)) (= $x198 (=> $x192 $x437)))))
+(let ((@x451 (quant-intro (trans @x442 (rewrite (= (=> $x192 $x437) $x444)) (= $x198 $x444)) (= $x199 $x449))))
+(let ((@x458 (trans (monotonicity @x451 (= $x200 (and $x449 true))) (rewrite (= (and $x449 true) $x449)) (= $x200 $x449))))
+(let (($x186 (and $x178 $x156)))
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+(let ((@x461 (monotonicity (quant-intro @x424 (= $x190 $x425)) @x458 (= (and $x190 $x200) $x459))))
+(let ((@x464 (monotonicity (quant-intro (rewrite (= (=> $x181 $x183) $x404)) (= $x185 $x407)) @x461 (= (and $x185 (and $x190 $x200)) $x462))))
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+(let ((@x477 (trans (monotonicity @x470 (= $x205 (and true $x468))) (rewrite (= (and true $x468) $x468)) (= $x205 $x468))))
+(let ((@x481 (trans (monotonicity @x477 (= $x206 (and true $x468))) (rewrite (= (and true $x468) $x468)) (= $x206 $x468))))
+(let ((@x402 (quant-intro (rewrite (= (=> (and $x132 (< ?x128 b_Infinity$)) $x168) $x397)) (= $x170 $x400))))
+(let ((@x820 (monotonicity (monotonicity @x402 @x481 (= (and $x170 $x206) $x482)) @x817 (= $x338 (=> $x482 $x815)))))
+(let ((@x829 (monotonicity @x402 (trans @x820 (rewrite (= (=> $x482 $x815) $x822)) (= $x338 $x822)) (= (and $x170 $x338) $x827))))
+(let ((@x395 (quant-intro (rewrite (= (=> (and $x136 $x156) $x159) $x390)) (= $x161 $x393))))
+(let ((@x838 (trans (monotonicity @x395 @x829 (= $x340 (=> $x393 $x827))) (rewrite (= (=> $x393 $x827) $x834)) (= $x340 $x834))))
+(let ((@x844 (monotonicity (quant-intro (rewrite (= (=> $x149 $x151) $x383)) (= $x153 $x386)) (monotonicity @x395 @x838 (= (and $x161 $x340) $x839)) (= $x342 (=> $x386 $x839)))))
+(let ((@x853 (monotonicity (quant-intro (rewrite (= (=> $x149 $x151) $x383)) (= $x153 $x386)) (trans @x844 (rewrite (= (=> $x386 $x839) $x846)) (= $x342 $x846)) (= (and $x153 $x342) $x851))))
+(let ((@x862 (trans (monotonicity @x853 (= $x344 (=> $x147 $x851))) (rewrite (= (=> $x147 $x851) $x858)) (= $x344 $x858))))
+(let ((@x868 (monotonicity (monotonicity @x862 (= (and $x147 $x344) $x863)) (= $x346 (=> $x145 $x863)))))
+(let ((@x877 (monotonicity (trans @x868 (rewrite (= (=> $x145 $x863) $x870)) (= $x346 $x870)) (= (and $x145 $x346) $x875))))
+(let (($x368 (and $x354 (and $x360 $x138))))
+(let (($x371 (and true $x368)))
+(let ((@x362 (quant-intro (rewrite (= (=> $x132 (= ?x128 b_Infinity$)) $x357)) (= $x135 $x360))))
+(let ((@x367 (monotonicity @x362 (rewrite (= (and $x138 true) $x138)) (= (and $x135 (and $x138 true)) (and $x360 $x138)))))
+(let ((@x356 (quant-intro (rewrite (= (=> $x127 (= ?x128 0)) (or $x132 (= ?x128 0)))) (= $x131 $x354))))
+(let ((@x370 (monotonicity @x356 @x367 (= (and $x131 (and $x135 (and $x138 true))) $x368))))
+(let ((@x377 (trans (monotonicity @x370 (= $x142 $x371)) (rewrite (= $x371 $x368)) (= $x142 $x368))))
+(let ((@x381 (trans (monotonicity @x377 (= $x143 $x371)) (rewrite (= $x371 $x368)) (= $x143 $x368))))
+(let ((@x886 (trans (monotonicity @x381 @x877 (= $x348 (=> $x368 $x875))) (rewrite (= (=> $x368 $x875) $x882)) (= $x348 $x882))))
+(let ((@x1411 (trans (monotonicity @x886 (= $x349 (not $x882))) (monotonicity @x1406 (= (not $x882) $x1407)) (= $x349 $x1407))))
+(let ((@x1413 (not-or-elim (mp (asserted $x349) @x1411 $x1407) $x890)))
+(let ((@x1463 (mp~ (and-elim @x1413 $x360) (nnf-pos (refl (~ $x357 $x357)) (~ $x360 $x360)) $x360)))
+(let ((@x3498 (mp @x1463 (quant-intro (refl (= $x357 $x357)) (= $x360 $x3493)) $x3493)))
+(let ((@x6489 (rewrite (= (or (not $x3493) (or $x1538 $x5616)) (or (not $x3493) $x1538 $x5616)))))
+(let ((@x5602 (mp ((_ quant-inst ?v0!5) (or (not $x3493) (or $x1538 $x5616))) @x6489 (or (not $x3493) $x1538 $x5616))))
+(let ((@x5777 (unit-resolution (hypothesis $x6457) (mp (unit-resolution @x5602 @x3498 (hypothesis $x1539) $x5616) @x5778 $x5625) false)))
+(let ((@x5735 (unit-resolution (lemma @x5777 (or $x5625 $x1538)) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x6457 $x1543)) @x6514 $x6457) @x6246 false)))
+(let (($x3544 (not $x3541)))
+(let (($x3827 (or $x3544 $x3824)))
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+(let ((?x128 (v_b_SP_G_0$ ?v1)))
+(let (($x933 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0)) ?x155) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x137 (not $x136)))
+(or $x137 $x922 $x933))))))) :pattern ( (pair$ ?v1 ?v0) )))
+))
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+(let ((?x1522 (v_b_SP_G_0$ ?v0!4)))
+(let ((?x1523 (* (- 1) ?x1522)))
+(let ((?x1521 (v_b_SP_G_0$ ?v1!3)))
+(let ((?x1513 (pair$ ?v1!3 ?v0!4)))
+(let ((?x1514 (b_G$ ?x1513)))
+(let ((?x2045 (+ ?x1514 ?x1521 ?x1523)))
+(let (($x2048 (>= ?x2045 0)))
+(let (($x1517 (<= (+ b_Infinity$ (* (- 1) ?x1514)) 0)))
+(let (($x1512 (v_b_Visited_G_0$ ?v1!3)))
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+(not $x136)) :pattern ( (v_b_Visited_G_0$ ?v0) )))
+))
+(let ((@x1468 (mp~ (and-elim @x1413 $x138) (nnf-pos (refl (~ $x137 $x137)) (~ $x138 $x138)) $x138)))
+(let ((@x3505 (mp @x1468 (quant-intro (refl (= $x137 $x137)) (= $x138 $x3500)) $x3500)))
+(let ((@x3073 (unit-resolution ((_ quant-inst ?v1!3) (or (not $x3500) $x2394)) @x3505 (hypothesis $x1512) false)))
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+))
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+(let (($x1476 (>= ?x1475 0)))
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+(let (($x5440 (<= ?x1475 0)))
+(let (($x86 (<= b_Infinity$ 0)))
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+(let ((@x4994 (symm (commutativity (= $x5734 (= ?x1475 b_Infinity$))) (= (= ?x1475 b_Infinity$) $x5734))))
+(let (($x5461 (= ?x1475 b_Infinity$)))
+(let (($x5589 (= ?v0!0 b_Source$)))
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+(let ((@x1457 (nnf-pos (refl (~ (or $x132 (= ?x128 0)) (or $x132 (= ?x128 0)))) (~ $x354 $x354))))
+(let ((@x3492 (mp (mp~ (and-elim @x1413 $x354) @x1457 $x354) @x3491 $x3487)))
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+(let ((@x5457 ((_ th-lemma arith triangle-eq) (or (not $x5734) (<= (+ b_Infinity$ (* (- 1) ?x1475)) 0)))))
+(let ((@x5462 (unit-resolution @x5457 @x5003 (<= (+ b_Infinity$ (* (- 1) ?x1475)) 0))))
+(let ((@x5446 (lemma ((_ th-lemma arith farkas 1 -1 1) (hypothesis $x5440) @x5462 @x90 false) (or (not $x5440) $x1476))))
+(let ((@x6353 (unit-resolution @x5446 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x5440 $x1476)) @x5848 $x5440) @x5848 false)))
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+(let ((@x5448 (monotonicity (rewrite (= (= b_Source$ b_Source$) true)) (= (not (= b_Source$ b_Source$)) (not true)))))
+(let ((@x5820 (trans @x5448 (rewrite (= (not true) false)) (= (not (= b_Source$ b_Source$)) false))))
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+(let ((@x5707 (trans @x5657 (rewrite (= (or false $x145) $x145)) (= (or (not (= b_Source$ b_Source$)) $x145) $x145))))
+(let ((@x5373 (monotonicity @x5707 (= (or $x5983 (or (not (= b_Source$ b_Source$)) $x145)) $x3194))))
+(let ((@x5431 (trans @x5373 (rewrite (= $x3194 $x3194)) (= (or $x5983 (or (not (= b_Source$ b_Source$)) $x145)) $x3194))))
+(let ((@x5763 (mp ((_ quant-inst b_Source$) (or $x5983 (or (not (= b_Source$ b_Source$)) $x145))) @x5431 $x3194)))
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+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x2242 (= (+ ?x273 ?x1912 (b_G$ (pair$ ?v1 ?v0!20))) 0)))
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+(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x300 (not $x291)))
+(or $x300 $x922 $x1282))))))))))
+))
+(let (($x2857 (not (or (not $x2833) $x1909 $x1914 (not $x2848)))))
+(let (($x2862 (or $x2811 $x2857)))
+(let (($x2788 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x1262 (>= (+ (v_b_SP_G_2$ ?v1) (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
+(let (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
+(let (($x2768 (not $x301)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(or $x291 $x2768 $x1262))))))
+))
+(let (($x2871 (not (or (not $x2788) (not $x2862)))))
+(let (($x2876 (or $x2765 $x2871)))
+(let (($x2884 (not (or $x1259 (not $x2876)))))
+(let (($x2889 (or $x1848 $x2884)))
+(let (($x2897 (not (or $x773 (not $x2889)))))
+(let (($x2902 (or $x773 $x2897)))
+(let (($x2910 (not (or $x785 (not $x2902)))))
+(let (($x2915 (or $x1830 $x2910)))
+(let (($x2923 (not (or $x1250 (not $x2915)))))
+(let (($x2928 (or $x1813 $x2923)))
+(let (($x2742 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let (($x278 (= ?x273 ?x174)))
+(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let ((?x1173 (* (- 1) ?x257)))
+(let (($x1175 (<= (+ ?x174 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
+(let (($x1169 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
+(let (($x2717 (or $x1169 $x1175)))
+(let (($x2718 (not $x2717)))
+(or $x2718 $x278)))))))))))
+))
+(let (($x2736 (forall ((?v0 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let ((?x1186 (* (- 1) ?x273)))
+(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
+(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let (($x1185 (= (+ ?x257 ?x268 ?x1186) 0)))
+(let (($x1175 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) ?x257) (* (- 1) ?x268)) 0)))
+(let (($x1169 (<= (+ b_Infinity$ (* (- 1) ?x268)) 0)))
+(or $x1169 $x1175 $x1185)))))))))
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+(let (($x2939 (or $x1773 $x1778 $x255 $x1213 (not $x1209) $x2935 (not $x2736) (not $x2742) (not $x2928))))
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+(let (($x1140 (>= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
+(or $x1099 $x922 $x1140)))))))
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+(let (($x2685 (or $x2650 $x2680)))
+(let (($x2628 (forall ((?v0 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
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+(let (($x2176 (<= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0)))) 0)))
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+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
+(let (($x127 (= ?v0 b_Source$)))
+(or $x127 $x1099 $x2617)))))))))
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+(let ((?x1662 (* (- 1) ?x1661)))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x2148 (= (+ ?x230 ?x1662 (b_G$ (pair$ ?v1 ?v0!8))) 0)))
+(or (>= (+ ?x230 ?x1662) 0) (not $x2148)))))))
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+(let (($x2699 (or $x2599 $x2694)))
+(let (($x2576 (forall ((?v0 B_Vertex$) )(let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
+(or $x178 $x1002))))
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+(let ((?x2128 (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!7 ?v0) ?v0))))))
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+(let (($x2113 (<= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?v0)))) 0)))
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+(let (($x127 (= ?v0 b_Source$)))
+(or $x127 $x1002 $x2551)))))))))
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+(let (($x990 (>= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
+(let (($x179 (not $x178)))
+(or $x179 $x922 $x990))))))))
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+(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
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+(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?v0) ?v0))))))
+(let (($x2091 (= ?x2090 0)))
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+(let (($x2478 (not (or $x2075 (not (v_b_Visited_G_0$ (?v1!6 ?v0))) (not $x2091)))))
+(let (($x947 (<= (+ b_Infinity$ (* (- 1) ?x128)) 0)))
+(let (($x127 (= ?v0 b_Source$)))
+(or $x127 $x947 $x2478)))))))))
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+(let ((?x128 (v_b_SP_G_0$ ?v1)))
+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x137 (not $x136)))
+(or (>= (+ ?x128 ?x1541) 0) $x137 (not (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))))
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+(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x137 (not $x136)))
+(or $x137 $x922 $x933))))))))
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+(let (($x2978 (or $x2414 $x2973)))
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+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))))
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+(let ((@x3736 (monotonicity (quant-intro (refl (= $x2837 $x2837)) (= $x2848 $x3729)) (= (not $x2848) $x3734))))
+(let ((@x3724 (quant-intro (refl (= (or $x300 $x922 $x1282) (or $x300 $x922 $x1282))) (= $x2833 $x3720))))
+(let ((@x3739 (monotonicity (monotonicity @x3724 (= (not $x2833) $x3725)) @x3736 (= (or (not $x2833) $x1909 $x1914 (not $x2848)) $x3737))))
+(let ((@x3748 (monotonicity (monotonicity (monotonicity @x3739 (= $x2857 $x3740)) (= $x2862 $x3743)) (= (not $x2862) $x3746))))
+(let ((@x3716 (quant-intro (refl (= (or $x291 (not $x301) $x1262) (or $x291 (not $x301) $x1262))) (= $x2788 $x3712))))
+(let ((@x3751 (monotonicity (monotonicity @x3716 (= (not $x2788) $x3717)) @x3748 (= (or (not $x2788) (not $x2862)) $x3749))))
+(let ((@x3760 (monotonicity (monotonicity (monotonicity @x3751 (= $x2871 $x3752)) (= $x2876 $x3755)) (= (not $x2876) $x3758))))
+(let ((@x3707 (quant-intro (refl (= (>= ?x273 0) (>= ?x273 0))) (= $x1256 $x3703))))
+(let ((@x3763 (monotonicity (monotonicity @x3707 (= $x1259 $x3708)) @x3760 (= (or $x1259 (not $x2876)) $x3761))))
+(let ((@x3772 (monotonicity (monotonicity (monotonicity @x3763 (= $x2884 $x3764)) (= $x2889 $x3767)) (= (not $x2889) $x3770))))
+(let ((@x3778 (monotonicity (monotonicity @x3772 (= (or $x773 (not $x2889)) $x3773)) (= $x2897 $x3776))))
+(let ((@x3784 (monotonicity (monotonicity @x3778 (= $x2902 $x3779)) (= (not $x2902) $x3782))))
+(let ((@x3699 (quant-intro (refl (= (or $x300 $x278) (or $x300 $x278))) (= $x652 $x3695))))
+(let ((@x3787 (monotonicity (monotonicity @x3699 (= $x785 $x3700)) @x3784 (= (or $x785 (not $x2902)) $x3785))))
+(let ((@x3796 (monotonicity (monotonicity (monotonicity @x3787 (= $x2910 $x3788)) (= $x2915 $x3791)) (= (not $x2915) $x3794))))
+(let ((@x3693 (monotonicity (quant-intro (refl (= $x1243 $x1243)) (= $x1247 $x3686)) (= $x1250 $x3691))))
+(let ((@x3802 (monotonicity (monotonicity @x3693 @x3796 (= (or $x1250 (not $x2915)) $x3797)) (= $x2923 $x3800))))
+(let ((@x3808 (monotonicity (monotonicity @x3802 (= $x2928 $x3803)) (= (not $x2928) $x3806))))
+(let ((@x3680 (refl (= (or (not (or $x1169 $x1175)) $x278) (or (not (or $x1169 $x1175)) $x278)))))
+(let ((@x3685 (monotonicity (quant-intro @x3680 (= $x2742 $x3678)) (= (not $x2742) $x3683))))
+(let ((@x3674 (quant-intro (refl (= (or $x1169 $x1175 $x1185) (or $x1169 $x1175 $x1185))) (= $x2736 $x3670))))
+(let ((@x3667 (monotonicity (quant-intro (refl (= $x1206 $x1206)) (= $x1209 $x3660)) (= (not $x1209) $x3665))))
+(let ((@x3811 (monotonicity @x3667 (monotonicity @x3674 (= (not $x2736) $x3675)) @x3685 @x3808 (= $x2939 $x3809))))
+(let ((@x3626 (quant-intro (refl (= (or $x1099 $x922 $x1140) (or $x1099 $x922 $x1140))) (= $x2672 $x3622))))
+(let ((@x3632 (monotonicity (monotonicity @x3626 (= (not $x2672) $x3627)) (= (or (not $x2672) $x246) $x3630))))
+(let ((@x3641 (monotonicity (monotonicity (monotonicity @x3632 (= $x2680 $x3633)) (= $x2685 $x3636)) (= (not $x2685) $x3639))))
+(let ((?x2191 (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?0))) (* (- 1) (b_G$ (pair$ (?v1!9 ?0) ?0))))))
+(let (($x2192 (= ?x2191 0)))
+(let (($x2176 (<= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?0)))) 0)))
+(let (($x2617 (not (or $x2176 (not $x2192)))))
+(let (($x2623 (or $x127 $x1099 $x2617)))
+(let ((@x3621 (monotonicity (quant-intro (refl (= $x2623 $x2623)) (= $x2628 $x3614)) (= (not $x2628) $x3619))))
+(let ((@x3647 (monotonicity (monotonicity @x3621 @x3641 (= (or (not $x2628) (not $x2685)) $x3642)) (= $x2694 $x3645))))
+(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(let ((?x1662 (* (- 1) ?x1661)))
+(let (($x2148 (= (+ ?x230 ?x1662 (b_G$ (pair$ ?0 ?v0!8))) 0)))
+(let (($x2580 (or (>= (+ ?x230 ?x1662) 0) (not $x2148))))
+(let ((@x3607 (monotonicity (quant-intro (refl (= $x2580 $x2580)) (= $x2591 $x3600)) (= (not $x2591) $x3605))))
+(let ((@x3613 (monotonicity (monotonicity @x3607 (= (or $x1659 $x1664 (not $x2591)) $x3608)) (= $x2599 $x3611))))
+(let ((@x3653 (monotonicity (monotonicity @x3613 @x3647 (= $x2699 $x3648)) (= (not $x2699) $x3651))))
+(let ((@x3594 (quant-intro (refl (= (or $x178 $x1002) (or $x178 $x1002))) (= $x2576 $x3590))))
+(let ((@x3656 (monotonicity (monotonicity @x3594 (= (not $x2576) $x3595)) @x3653 (= (or (not $x2576) $x2706 $x2707 $x2708 $x2709 (not $x2699)) $x3654))))
+(let ((@x3817 (monotonicity (monotonicity @x3656 (= $x2712 $x3657)) (monotonicity @x3811 (= $x2940 $x3812)) (= $x2945 $x3815))))
+(let ((?x2128 (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?0))) (* (- 1) (b_G$ (pair$ (?v1!7 ?0) ?0))))))
+(let (($x2129 (= ?x2128 0)))
+(let (($x2113 (<= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?0)))) 0)))
+(let (($x2551 (not (or $x2113 (not (fun_app$ v_b_Visited_G_1$ (?v1!7 ?0))) (not $x2129)))))
+(let (($x2557 (or $x127 $x1002 $x2551)))
+(let ((@x3588 (monotonicity (quant-intro (refl (= $x2557 $x2557)) (= $x2562 $x3581)) (= (not $x2562) $x3586))))
+(let ((@x3577 (quant-intro (refl (= (or $x179 $x922 $x990) (or $x179 $x922 $x990))) (= $x2534 $x3573))))
+(let ((@x3569 (quant-intro (refl (= (or $x178 (not $x180) $x1015) (or $x178 (not $x180) $x1015))) (= $x2512 $x3565))))
+(let ((@x3560 (quant-intro (refl (= (>= ?x174 0) (>= ?x174 0))) (= $x1051 $x3556))))
+(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?0) ?0))))))
+(let (($x2091 (= ?x2090 0)))
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+(let (($x2478 (not (or $x2075 (not (v_b_Visited_G_0$ (?v1!6 ?0))) (not $x2091)))))
+(let (($x947 (<= (+ b_Infinity$ (* (- 1) ?x128)) 0)))
+(let (($x2484 (or $x127 $x947 $x2478)))
+(let ((@x3554 (monotonicity (quant-intro (refl (= $x2484 $x2484)) (= $x2489 $x3547)) (= (not $x2489) $x3552))))
+(let ((@x3823 (monotonicity @x3554 (monotonicity @x3560 (= (not $x1051) $x3561)) (monotonicity @x3569 (= (not $x2512) $x3570)) (monotonicity @x3577 (= (not $x2534) $x3578)) @x3588 (monotonicity @x3817 (= (not $x2945) $x3818)) (= $x2958 $x3821))))
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+(let ((@x3540 (monotonicity (quant-intro (refl (= $x2440 $x2440)) (= $x2451 $x3533)) (= (not $x2451) $x3538))))
+(let ((@x3546 (monotonicity (monotonicity @x3540 (= (or $x1538 $x1543 (not $x2451)) $x3541)) (= $x2459 $x3544))))
+(let ((@x3829 (monotonicity @x3546 (monotonicity @x3823 (= $x2959 $x3824)) (= $x2964 $x3827))))
+(let ((@x3528 (quant-intro (refl (= (or $x137 $x922 $x933) (or $x137 $x922 $x933))) (= $x2436 $x3524))))
+(let ((@x3835 (monotonicity (monotonicity @x3528 (= (not $x2436) $x3529)) (monotonicity @x3829 (= (not $x2964) $x3830)) (= (or (not $x2436) (not $x2964)) $x3833))))
+(let ((@x3844 (monotonicity (monotonicity (monotonicity @x3835 (= $x2973 $x3836)) (= $x2978 $x3839)) (= (not $x2978) $x3842))))
+(let ((@x3519 (quant-intro (refl (= (or $x136 (not $x148) $x907) (or $x136 (not $x148) $x907))) (= $x2391 $x3515))))
+(let ((@x3847 (monotonicity (monotonicity @x3519 (= (not $x2391) $x3520)) @x3844 (= (or (not $x2391) (not $x2978)) $x3845))))
+(let ((@x3856 (monotonicity (monotonicity (monotonicity @x3847 (= $x2987 $x3848)) (= $x2992 $x3851)) (= (not $x2992) $x3854))))
+(let ((@x3510 (quant-intro (refl (= (>= ?x128 0) (>= ?x128 0))) (= $x899 $x3506))))
+(let ((@x3859 (monotonicity (monotonicity @x3510 (= $x902 $x3511)) @x3856 (= (or $x902 (not $x2992)) $x3857))))
+(let ((@x3868 (monotonicity (monotonicity (monotonicity @x3859 (= $x3000 $x3860)) (= $x3005 $x3863)) (= (not $x3005) $x3866))))
+(let ((@x3874 (monotonicity (monotonicity @x3868 (= (or $x869 (not $x3005)) $x3869)) (= $x3013 $x3872))))
+(let (($x2251 (forall ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let ((?x1912 (* (- 1) ?x1911)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x2242 (= (+ ?x273 ?x1912 (b_G$ (pair$ ?v1 ?v0!20))) 0)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x2245 (and (not (>= (+ ?x273 ?x1912) 0)) $x291 $x2242)))
+(not $x2245))))))))
+))
+(let (($x1915 (not $x1914)))
+(let (($x1910 (not $x1909)))
+(let (($x2260 (and $x1289 $x1910 $x1915 $x2251)))
+(let (($x1891 (not (and $x1883 (not $x1888)))))
+(let (($x1897 (or $x1891 $x1896)))
+(let (($x1898 (not $x1897)))
+(let (($x2265 (or $x1898 $x2260)))
+(let (($x2268 (and $x1270 $x2265)))
+(let (($x1864 (not (and (not $x1860) $x1862))))
+(let (($x1870 (or $x1864 $x1869)))
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+(let (($x2212 (or $x1733 $x2209)))
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+(let ((?x2191 (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!9 ?v0) ?v0))))))
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+(let (($x2176 (<= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0)))) 0)))
+(let (($x2197 (and (not $x2176) $x2192)))
+(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
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+(let (($x132 (not $x127)))
+(let (($x1103 (and $x132 $x1100)))
+(let (($x1106 (not $x1103)))
+(or $x1106 $x2197)))))))))))))
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+(let ((?x1662 (* (- 1) ?x1661)))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
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+(let (($x2151 (and (not (>= (+ ?x230 ?x1662) 0)) $x2148)))
+(not $x2151)))))))
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+(let (($x179 (not $x178)))
+(let (($x1077 (and $x179 $x1003)))
+(not $x1077)))))))
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+(or $x1009 $x2134))))))))))))))
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+(let ((@x2824 (trans @x2820 (rewrite (= (not (not (or $x300 $x922))) (or $x300 $x922))) (= $x1279 (or $x300 $x922)))))
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+(let ((@x2861 (trans @x2853 (rewrite (= (and $x2833 $x1910 $x1915 $x2848) $x2857)) (= $x2260 $x2857))))
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+(let ((@x2614 (trans @x2610 (rewrite (= (not (not (or $x127 $x1099))) (or $x127 $x1099))) (= $x1106 (or $x127 $x1099)))))
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+(let ((@x2593 (quant-intro (trans @x2586 (rewrite (= (not (not $x2580)) $x2580)) (= $x2154 $x2580)) (= $x2157 $x2591))))
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+(let (($x2134 (and (not $x2113) $x1618 $x2129)))
+(let (($x2137 (or $x1009 $x2134)))
+(let ((@x2543 (monotonicity (rewrite (= $x1006 (not (or $x127 $x1002)))) (= $x1009 (not (not (or $x127 $x1002)))))))
+(let ((@x2547 (trans @x2543 (rewrite (= (not (not (or $x127 $x1002))) (or $x127 $x1002))) (= $x1009 (or $x127 $x1002)))))
+(let ((@x2556 (monotonicity @x2547 (rewrite (= $x2134 $x2551)) (= $x2137 (or (or $x127 $x1002) $x2551)))))
+(let ((@x2561 (trans @x2556 (rewrite (= (or (or $x127 $x1002) $x2551) $x2557)) (= $x2137 $x2557))))
+(let ((@x2521 (monotonicity (rewrite (= $x983 (not (or $x179 $x922)))) (= $x986 (not (not (or $x179 $x922)))))))
+(let ((@x2525 (trans @x2521 (rewrite (= (not (not (or $x179 $x922))) (or $x179 $x922))) (= $x986 (or $x179 $x922)))))
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+(let ((@x2488 (trans @x2483 (rewrite (= (or (or $x127 $x947) $x2478) $x2484)) (= $x2099 $x2484))))
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+(let (($x1564 (not $x1554)))
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+(let ((@x2453 (quant-intro (trans @x2446 (rewrite (= (not (not $x2440)) $x2440)) (= $x1564 $x2440)) (= $x1567 $x2451))))
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+(let ((@x2427 (trans @x2423 (rewrite (= (not (not (or $x137 $x922))) (or $x137 $x922))) (= $x929 (or $x137 $x922)))))
+(let ((@x2435 (trans (monotonicity @x2427 (= $x936 (or (or $x137 $x922) $x933))) (rewrite (= (or (or $x137 $x922) $x933) (or $x137 $x922 $x933))) (= $x936 (or $x137 $x922 $x933)))))
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+(let ((@x2401 (monotonicity (rewrite (= (and $x1512 (not $x1517)) (not (or $x2394 $x1517)))) (= $x1520 (not (not (or $x2394 $x1517)))))))
+(let ((@x2405 (trans @x2401 (rewrite (= (not (not (or $x2394 $x1517))) (or $x2394 $x1517))) (= $x1520 (or $x2394 $x1517)))))
+(let ((@x2413 (trans (monotonicity @x2405 (= $x2051 (or (or $x2394 $x1517) $x2048))) (rewrite (= (or (or $x2394 $x1517) $x2048) $x2409)) (= $x2051 $x2409))))
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+(let ((@x2388 (rewrite (= (or (or $x136 (not $x148)) $x907) (or $x136 (not $x148) $x907)))))
+(let ((@x2380 (rewrite (= (not (not (or $x136 (not $x148)))) (or $x136 (not $x148))))))
+(let ((@x2378 (monotonicity (rewrite (= $x149 (not (or $x136 (not $x148))))) (= $x382 (not (not (or $x136 (not $x148))))))))
+(let ((@x2385 (monotonicity (trans @x2378 @x2380 (= $x382 (or $x136 (not $x148)))) (= $x911 (or (or $x136 (not $x148)) $x907)))))
+(let ((@x2393 (quant-intro (trans @x2385 @x2388 (= $x911 (or $x136 (not $x148) $x907))) (= $x914 $x2391))))
+(let ((@x2991 (trans (monotonicity @x2393 @x2980 (= $x2329 (and $x2391 $x2978))) (rewrite (= (and $x2391 $x2978) $x2987)) (= $x2329 $x2987))))
+(let ((@x2355 (monotonicity (rewrite (= (and (not $x1489) $x1491) (not (or $x1489 $x2348)))) (= $x1493 (not (not (or $x1489 $x2348)))))))
+(let ((@x2359 (trans @x2355 (rewrite (= (not (not (or $x1489 $x2348))) (or $x1489 $x2348))) (= $x1493 (or $x1489 $x2348)))))
+(let ((@x2367 (trans (monotonicity @x2359 (= $x1499 (or (or $x1489 $x2348) $x1498))) (rewrite (= (or (or $x1489 $x2348) $x1498) $x2363)) (= $x1499 $x2363))))
+(let ((@x2994 (monotonicity (monotonicity @x2367 (= $x1500 $x2368)) @x2991 (= $x2332 $x2992))))
+(let ((@x3004 (trans (monotonicity @x2994 (= $x2335 (and $x899 $x2992))) (rewrite (= (and $x899 $x2992) $x3000)) (= $x2335 $x3000))))
+(let ((@x3010 (monotonicity (monotonicity @x3004 (= $x2338 $x3005)) (= $x2341 (and $x145 $x3005)))))
+(let ((@x3020 (monotonicity (trans @x3010 (rewrite (= (and $x145 $x3005) $x3013)) (= $x2341 $x3013)) (= $x2344 $x3018))))
+(let (($x1938 (forall ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let ((?x1912 (* (- 1) ?x1911)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x1925 (and (not (>= (+ ?x273 ?x1912) 0)) $x291 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x273 ?x1912) 0))))
+(not $x1925)))))))
+))
+(let (($x1932 (not (not (and $x1910 $x1915)))))
+(let (($x1942 (and $x1932 $x1938)))
+(let (($x1947 (and $x1289 $x1942)))
+(let (($x1951 (or $x1898 $x1947)))
+(let (($x1955 (and $x1270 $x1951)))
+(let (($x1959 (or $x1871 $x1955)))
+(let (($x1963 (and $x1256 $x1959)))
+(let (($x1967 (or $x1848 $x1963)))
+(let (($x1842 (not $x773)))
+(let (($x1971 (and $x1842 $x1967)))
+(let (($x1975 (or $x773 $x1971)))
+(let (($x1979 (and $x652 $x1975)))
+(let (($x1983 (or $x1830 $x1979)))
+(let (($x1987 (and $x1247 $x1983)))
+(let (($x1991 (or $x1813 $x1987)))
+(let (($x1801 (and (and $x1774 $x1779) $x256 $x1214 $x1209 $x266 $x1193 $x1199)))
+(let (($x1995 (and $x1801 $x1991)))
+(let (($x1739 (not (or $x1733 (>= (+ ?x1727 ?x1721 ?x1735) 0)))))
+(let (($x1756 (or $x1739 $x1752)))
+(let (($x1713 (forall ((?v0 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
+(let ((?x1097 (* (- 1) ?x230)))
+(let ((?x1699 (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0))))
+(let ((?x1704 (b_G$ (pair$ (?v1!9 ?v0) ?v0))))
+(let (($x1706 (= (+ ?x1704 ?x1699 ?x1097) 0)))
+(let (($x1707 (and (not (>= (+ ?x1699 ?x1097) 0)) $x1706)))
+(let (($x1099 (<= (+ b_Infinity$ ?x1097) 0)))
+(let (($x1100 (not $x1099)))
+(let (($x127 (= ?v0 b_Source$)))
+(let (($x132 (not $x127)))
+(let (($x1103 (and $x132 $x1100)))
+(let (($x1106 (not $x1103)))
+(or $x1106 $x1707))))))))))))))
+))
+(let (($x1760 (and $x1713 $x1756)))
+(let (($x1687 (forall ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(let ((?x1662 (* (- 1) ?x1661)))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x1675 (and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x230 ?x1662) 0))))
+(not $x1675))))))
+))
+(let (($x1681 (not (not (and $x1660 $x1665)))))
+(let (($x1691 (and $x1681 $x1687)))
+(let (($x1764 (or $x1691 $x1760)))
+(let (($x1652 (and $x1641 $x212 $x215 $x217 $x220)))
+(let (($x1768 (and $x1652 $x1764)))
+(let (($x1999 (or $x1768 $x1995)))
+(let (($x1629 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let ((?x1000 (* (- 1) ?x174)))
+(let ((?x1613 (?v1!7 ?v0)))
+(let ((?x1614 (fun_app$c v_b_SP_G_1$ ?x1613)))
+(let ((?x1620 (b_G$ (pair$ ?x1613 ?v0))))
+(let (($x1622 (= (+ ?x1620 ?x1614 ?x1000) 0)))
+(let (($x1618 (fun_app$ v_b_Visited_G_1$ ?x1613)))
+(let (($x1623 (and (not (>= (+ ?x1614 ?x1000) 0)) $x1618 $x1622)))
+(let (($x1002 (<= (+ b_Infinity$ ?x1000) 0)))
+(let (($x1003 (not $x1002)))
+(let (($x127 (= ?v0 b_Source$)))
+(let (($x132 (not $x127)))
+(let (($x1006 (and $x132 $x1003)))
+(let (($x1009 (not $x1006)))
+(or $x1009 $x1623))))))))))))))))
+))
+(let (($x1594 (forall ((?v0 B_Vertex$) )(let ((?x1585 (b_G$ (pair$ (?v1!6 ?v0) ?v0))))
+(let ((?x128 (v_b_SP_G_0$ ?v0)))
+(let ((?x945 (* (- 1) ?x128)))
+(let ((?x1578 (?v1!6 ?v0)))
+(let ((?x1579 (v_b_SP_G_0$ ?x1578)))
+(let (($x1587 (= (+ ?x1579 ?x945 ?x1585) 0)))
+(let (($x1583 (v_b_Visited_G_0$ ?x1578)))
+(let (($x1588 (and (not (>= (+ ?x1579 ?x945) 0)) $x1583 $x1587)))
+(let (($x127 (= ?v0 b_Source$)))
+(let (($x132 (not $x127)))
+(let (($x951 (and $x132 (not (<= (+ b_Infinity$ ?x945) 0)))))
+(let (($x954 (not $x951)))
+(or $x954 $x1588))))))))))))))
+))
+(let (($x1632 (and $x1594 $x173 $x1051 $x1045 $x997 $x1629)))
+(let (($x2003 (and $x1632 $x1999)))
+(let (($x1561 (not (not (and $x1539 $x1544)))))
+(let (($x1571 (and $x1561 $x1567)))
+(let (($x2007 (or $x1571 $x2003)))
+(let (($x2011 (and $x939 $x2007)))
+(let (($x1527 (not (or $x1520 (>= (+ ?x1521 ?x1523 ?x1514) 0)))))
+(let (($x2015 (or $x1527 $x2011)))
+(let (($x2019 (and $x914 $x2015)))
+(let (($x2023 (or $x1500 $x2019)))
+(let (($x2027 (and $x899 $x2023)))
+(let (($x2031 (or $x1477 $x2027)))
+(let (($x1471 (not $x869)))
+(let (($x2035 (and $x1471 $x2031)))
+(let (($x2039 (or $x869 $x2035)))
+(let (($x1925 (and (not (>= (+ ?x273 (* (- 1) ?x1911)) 0)) $x291 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) 0))))
+(let (($x1935 (not $x1925)))
+(let (($x2243 (= (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) 0) $x2242)))
+(let (($x2240 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) (+ ?x273 (* (- 1) ?x1911) (b_G$ (pair$ ?0 ?v0!20))))))
+(let ((@x2250 (monotonicity (monotonicity (monotonicity (rewrite $x2240) $x2243) (= $x1925 $x2245)) (= $x1935 $x2248))))
+(let ((@x2256 (monotonicity (rewrite (= $x1932 (and $x1910 $x1915))) (quant-intro @x2250 (= $x1938 $x2251)) (= $x1942 (and (and $x1910 $x1915) $x2251)))))
+(let ((@x2264 (trans (monotonicity @x2256 (= $x1947 (and $x1289 (and (and $x1910 $x1915) $x2251)))) (rewrite (= (and $x1289 (and (and $x1910 $x1915) $x2251)) $x2260)) (= $x1947 $x2260))))
+(let ((@x2273 (monotonicity (monotonicity (monotonicity @x2264 (= $x1951 $x2265)) (= $x1955 $x2268)) (= $x1959 $x2271))))
+(let ((@x2282 (monotonicity (rewrite (= $x1842 $x297)) (monotonicity (monotonicity @x2273 (= $x1963 $x2274)) (= $x1967 $x2277)) (= $x1971 $x2280))))
+(let ((@x2291 (monotonicity (monotonicity (monotonicity @x2282 (= $x1975 $x2283)) (= $x1979 $x2286)) (= $x1983 $x2289))))
+(let ((@x2300 (monotonicity (monotonicity (monotonicity @x2291 (= $x1987 $x2292)) (= $x1991 $x2295)) (= $x1995 (and $x1801 $x2295)))))
+(let ((@x2211 (monotonicity (rewrite (= (+ ?x1727 ?x1721 ?x1735) ?x2206)) (= (>= (+ ?x1727 ?x1721 ?x1735) 0) $x2209))))
+(let ((@x2214 (monotonicity @x2211 (= (or $x1733 (>= (+ ?x1727 ?x1721 ?x1735) 0)) $x2212))))
+(let (($x2197 (and (not $x2176) $x2192)))
+(let (($x2200 (or $x1106 $x2197)))
+(let ((?x1097 (* (- 1) ?x230)))
+(let ((?x1699 (fun_app$c v_b_SP_G_3$ (?v1!9 ?0))))
+(let ((?x1704 (b_G$ (pair$ (?v1!9 ?0) ?0))))
+(let (($x1706 (= (+ ?x1704 ?x1699 ?x1097) 0)))
+(let (($x1707 (and (not (>= (+ ?x1699 ?x1097) 0)) $x1706)))
+(let (($x1710 (or $x1106 $x1707)))
+(let ((@x2189 (monotonicity (rewrite (= (+ ?x1704 ?x1699 ?x1097) (+ ?x1097 ?x1699 ?x1704))) (= $x1706 (= (+ ?x1097 ?x1699 ?x1704) 0)))))
+(let ((@x2196 (trans @x2189 (rewrite (= (= (+ ?x1097 ?x1699 ?x1704) 0) $x2192)) (= $x1706 $x2192))))
+(let ((@x2173 (monotonicity (rewrite (= (+ ?x1699 ?x1097) (+ ?x1097 ?x1699))) (= (>= (+ ?x1699 ?x1097) 0) (>= (+ ?x1097 ?x1699) 0)))))
+(let ((@x2180 (trans @x2173 (rewrite (= (>= (+ ?x1097 ?x1699) 0) $x2176)) (= (>= (+ ?x1699 ?x1097) 0) $x2176))))
+(let ((@x2199 (monotonicity (monotonicity @x2180 (= (not (>= (+ ?x1699 ?x1097) 0)) (not $x2176))) @x2196 (= $x1707 $x2197))))
+(let ((@x2223 (monotonicity (quant-intro (monotonicity @x2199 (= $x1710 $x2200)) (= $x1713 $x2203)) (monotonicity (monotonicity @x2214 (= $x1739 $x2215)) (= $x1756 $x2218)) (= $x1760 $x2221))))
+(let (($x1675 (and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) 0))))
+(let (($x1684 (not $x1675)))
+(let (($x2146 (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) (+ ?x230 ?x1662 (b_G$ (pair$ ?0 ?v0!8))))))
+(let ((@x2150 (monotonicity (rewrite $x2146) (= (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) 0) $x2148))))
+(let ((@x2159 (quant-intro (monotonicity (monotonicity @x2150 (= $x1675 $x2151)) (= $x1684 $x2154)) (= $x1687 $x2157))))
+(let ((@x2162 (monotonicity (rewrite (= $x1681 (and $x1660 $x1665))) @x2159 (= $x1691 (and (and $x1660 $x1665) $x2157)))))
+(let ((@x2167 (trans @x2162 (rewrite (= (and (and $x1660 $x1665) $x2157) $x2163)) (= $x1691 $x2163))))
+(let ((@x2229 (monotonicity (monotonicity @x2167 @x2223 (= $x1764 $x2224)) (= $x1768 (and $x1652 $x2224)))))
+(let ((@x2308 (monotonicity (trans @x2229 (rewrite (= (and $x1652 $x2224) $x2230)) (= $x1768 $x2230)) (trans @x2300 (rewrite (= (and $x1801 $x2295) $x2301)) (= $x1995 $x2301)) (= $x1999 $x2306))))
+(let ((?x1000 (* (- 1) ?x174)))
+(let ((?x1614 (fun_app$c v_b_SP_G_1$ ?x1613)))
+(let ((?x1620 (b_G$ (pair$ ?x1613 ?0))))
+(let (($x1622 (= (+ ?x1620 ?x1614 ?x1000) 0)))
+(let (($x1623 (and (not (>= (+ ?x1614 ?x1000) 0)) $x1618 $x1622)))
+(let (($x1626 (or $x1009 $x1623)))
+(let ((@x2126 (monotonicity (rewrite (= (+ ?x1620 ?x1614 ?x1000) (+ ?x1000 ?x1614 ?x1620))) (= $x1622 (= (+ ?x1000 ?x1614 ?x1620) 0)))))
+(let ((@x2133 (trans @x2126 (rewrite (= (= (+ ?x1000 ?x1614 ?x1620) 0) $x2129)) (= $x1622 $x2129))))
+(let ((@x2110 (monotonicity (rewrite (= (+ ?x1614 ?x1000) (+ ?x1000 ?x1614))) (= (>= (+ ?x1614 ?x1000) 0) (>= (+ ?x1000 ?x1614) 0)))))
+(let ((@x2117 (trans @x2110 (rewrite (= (>= (+ ?x1000 ?x1614) 0) $x2113)) (= (>= (+ ?x1614 ?x1000) 0) $x2113))))
+(let ((@x2136 (monotonicity (monotonicity @x2117 (= (not (>= (+ ?x1614 ?x1000) 0)) (not $x2113))) @x2133 (= $x1623 $x2134))))
+(let (($x1587 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128) (b_G$ (pair$ ?x1578 ?0))) 0)))
+(let (($x1588 (and (not (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)) $x1583 $x1587)))
+(let (($x1591 (or $x954 $x1588)))
+(let (($x2086 (= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578) (b_G$ (pair$ ?x1578 ?0))) 0)))
+(let (($x2084 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128) (b_G$ (pair$ ?x1578 ?0))) (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578) (b_G$ (pair$ ?x1578 ?0))))))
+(let ((@x2095 (trans (monotonicity (rewrite $x2084) (= $x1587 $x2086)) (rewrite (= $x2086 $x2091)) (= $x1587 $x2091))))
+(let (($x2081 (= (not (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)) (not $x2075))))
+(let (($x1581 (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)))
+(let (($x2068 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)))))
+(let ((@x2072 (monotonicity (rewrite $x2068) (= $x1581 (>= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)) 0)))))
+(let ((@x2079 (trans @x2072 (rewrite (= (>= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)) 0) $x2075)) (= $x1581 $x2075))))
+(let ((@x2101 (monotonicity (monotonicity (monotonicity @x2079 $x2081) @x2095 (= $x1588 $x2096)) (= $x1591 $x2099))))
+(let ((@x2311 (monotonicity (quant-intro @x2101 (= $x1594 $x2102)) (quant-intro (monotonicity @x2136 (= $x1626 $x2137)) (= $x1629 $x2140)) (= $x1632 (and $x2102 $x173 $x1051 $x1045 $x997 $x2140)))))
+(let ((@x2314 (monotonicity @x2311 @x2308 (= $x2003 (and (and $x2102 $x173 $x1051 $x1045 $x997 $x2140) $x2306)))))
+(let ((@x2319 (trans @x2314 (rewrite (= (and (and $x2102 $x173 $x1051 $x1045 $x997 $x2140) $x2306) $x2315)) (= $x2003 $x2315))))
+(let ((@x2061 (monotonicity (rewrite (= $x1561 (and $x1539 $x1544))) (= $x1571 (and (and $x1539 $x1544) $x1567)))))
+(let ((@x2066 (trans @x2061 (rewrite (= (and (and $x1539 $x1544) $x1567) $x2062)) (= $x1571 $x2062))))
+(let ((@x2325 (monotonicity (monotonicity @x2066 @x2319 (= $x2007 $x2320)) (= $x2011 $x2323))))
+(let ((@x2050 (monotonicity (rewrite (= (+ ?x1521 ?x1523 ?x1514) ?x2045)) (= (>= (+ ?x1521 ?x1523 ?x1514) 0) $x2048))))
+(let ((@x2053 (monotonicity @x2050 (= (or $x1520 (>= (+ ?x1521 ?x1523 ?x1514) 0)) $x2051))))
+(let ((@x2328 (monotonicity (monotonicity @x2053 (= $x1527 $x2054)) @x2325 (= $x2015 $x2326))))
+(let ((@x2337 (monotonicity (monotonicity (monotonicity @x2328 (= $x2019 $x2329)) (= $x2023 $x2332)) (= $x2027 $x2335))))
+(let ((@x2343 (monotonicity (rewrite (= $x1471 $x145)) (monotonicity @x2337 (= $x2031 $x2338)) (= $x2035 $x2341))))
+(let (($x1926 (exists ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let ((?x1912 (* (- 1) ?x1911)))
+(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(and (not (>= (+ ?x273 ?x1912) 0)) $x291 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x273 ?x1912) 0)))))))
+))
+(let ((@x1944 (nnf-neg (refl (~ $x1932 $x1932)) (nnf-neg (refl (~ $x1935 $x1935)) (~ (not $x1926) $x1938)) (~ (not (or (not (and $x1910 $x1915)) $x1926)) $x1942))))
+(let ((@x1946 (trans (sk (~ (not $x1329) (not (or (not (and $x1910 $x1915)) $x1926)))) @x1944 (~ (not $x1329) $x1942))))
+(let ((@x1907 (nnf-neg (nnf-pos (refl (~ $x1286 $x1286)) (~ $x1289 $x1289)) (~ (not $x1292) $x1289))))
+(let ((@x1954 (nnf-neg (sk (~ $x1292 $x1898)) (nnf-neg @x1907 @x1946 (~ (not $x1332) $x1947)) (~ (not $x1335) $x1951))))
+(let ((@x1880 (nnf-neg (nnf-pos (refl (~ $x1267 $x1267)) (~ $x1270 $x1270)) (~ (not $x1273) $x1270))))
+(let ((@x1962 (nnf-neg (sk (~ $x1273 $x1871)) (nnf-neg @x1880 @x1954 (~ (not $x1338) $x1955)) (~ (not $x1341) $x1959))))
+(let ((@x1857 (nnf-neg (nnf-pos (refl (~ (>= ?x273 0) (>= ?x273 0))) (~ $x1256 $x1256)) (~ (not $x1259) $x1256))))
+(let ((@x1970 (nnf-neg (sk (~ $x1259 $x1848)) (nnf-neg @x1857 @x1962 (~ (not $x1344) $x1963)) (~ (not $x1347) $x1967))))
+(let ((@x1978 (nnf-neg (refl (~ $x773 $x773)) (nnf-neg (refl (~ $x1842 $x1842)) @x1970 (~ (not $x1350) $x1971)) (~ (not $x1353) $x1975))))
+(let ((@x1839 (nnf-neg (nnf-pos (refl (~ (or $x300 $x278) (or $x300 $x278))) (~ $x652 $x652)) (~ (not $x785) $x652))))
+(let ((@x1986 (nnf-neg (sk (~ $x785 $x1830)) (nnf-neg @x1839 @x1978 (~ (not $x1356) $x1979)) (~ (not $x1359) $x1983))))
+(let ((@x1822 (nnf-neg (nnf-pos (refl (~ $x1243 $x1243)) (~ $x1247 $x1247)) (~ (not $x1250) $x1247))))
+(let ((@x1994 (nnf-neg (sk (~ $x1250 $x1813)) (nnf-neg @x1822 @x1986 (~ (not $x1362) $x1987)) (~ (not $x1365) $x1991))))
+(let ((@x1803 (monotonicity (sk (~ $x1080 (and $x1774 $x1779))) (refl (~ $x256 $x256)) (refl (~ $x1214 $x1214)) (nnf-pos (refl (~ $x1206 $x1206)) (~ $x1209 $x1209)) (refl (~ $x266 $x266)) (nnf-pos (refl (~ $x1190 $x1190)) (~ $x1193 $x1193)) (nnf-pos (refl (~ $x1196 $x1196)) (~ $x1199 $x1199)) (~ $x1235 $x1801))))
+(let ((@x1998 (nnf-neg (nnf-neg @x1803 (~ (not $x1240) $x1801)) @x1994 (~ (not $x1368) $x1995))))
+(let ((@x1748 (nnf-neg (nnf-pos (refl (~ $x1143 $x1143)) (~ $x1146 $x1146)) (~ (not $x1149) $x1146))))
+(let ((@x1759 (nnf-neg (sk (~ $x1149 $x1739)) (nnf-neg @x1748 (refl (~ $x1749 $x1749)) (~ (not $x1152) $x1752)) (~ (not $x1155) $x1756))))
+(let ((@x1715 (nnf-pos (monotonicity (refl (~ $x1106 $x1106)) (sk (~ $x1122 $x1707)) (~ $x1125 $x1710)) (~ $x1128 $x1713))))
+(let ((@x1763 (nnf-neg (nnf-neg @x1715 (~ (not $x1131) $x1713)) @x1759 (~ (not $x1158) $x1760))))
+(let (($x1676 (exists ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(let ((?x1662 (* (- 1) ?x1661)))
+(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x230 ?x1662) 0))))))
+))
+(let ((@x1693 (nnf-neg (refl (~ $x1681 $x1681)) (nnf-neg (refl (~ $x1684 $x1684)) (~ (not $x1676) $x1687)) (~ (not (or (not (and $x1660 $x1665)) $x1676)) $x1691))))
+(let ((@x1695 (trans (sk (~ $x1131 (not (or (not (and $x1660 $x1665)) $x1676)))) @x1693 (~ $x1131 $x1691))))
+(let ((@x1654 (monotonicity (nnf-neg (refl (~ (not $x1077) (not $x1077))) (~ $x1083 $x1641)) (refl (~ $x212 $x212)) (refl (~ $x215 $x215)) (refl (~ $x217 $x217)) (refl (~ $x220 $x220)) (~ $x1089 $x1652))))
+(let ((@x1771 (nnf-neg (nnf-neg @x1654 (~ (not $x1094) $x1652)) (nnf-neg @x1695 @x1763 (~ (not $x1161) $x1764)) (~ (not $x1164) $x1768))))
+(let ((@x1631 (nnf-pos (monotonicity (refl (~ $x1009 $x1009)) (sk (~ $x1031 $x1623)) (~ $x1034 $x1626)) (~ $x1037 $x1629))))
+(let ((@x1596 (nnf-pos (monotonicity (refl (~ $x954 $x954)) (sk (~ $x974 $x1588)) (~ $x977 $x1591)) (~ $x980 $x1594))))
+(let ((@x1634 (monotonicity @x1596 (refl (~ $x173 $x173)) (nnf-pos (refl (~ (>= ?x174 0) (>= ?x174 0))) (~ $x1051 $x1051)) (nnf-pos (refl (~ $x1042 $x1042)) (~ $x1045 $x1045)) (nnf-pos (refl (~ $x994 $x994)) (~ $x997 $x997)) @x1631 (~ $x1069 $x1632))))
+(let ((@x2006 (nnf-neg (nnf-neg @x1634 (~ (not $x1074) $x1632)) (nnf-neg @x1771 @x1998 (~ (not $x1371) $x1999)) (~ (not $x1374) $x2003))))
+(let (($x1555 (exists ((?v1 B_Vertex$) )(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
+(let ((?x1541 (* (- 1) ?x1540)))
+(let ((?x128 (v_b_SP_G_0$ ?v1)))
+(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))
+))
+(let ((@x1573 (nnf-neg (refl (~ $x1561 $x1561)) (nnf-neg (refl (~ $x1564 $x1564)) (~ (not $x1555) $x1567)) (~ (not (or (not (and $x1539 $x1544)) $x1555)) $x1571))))
+(let ((@x1575 (trans (sk (~ (not $x980) (not (or (not (and $x1539 $x1544)) $x1555)))) @x1573 (~ (not $x980) $x1571))))
+(let ((@x1536 (nnf-neg (nnf-pos (refl (~ $x936 $x936)) (~ $x939 $x939)) (~ (not $x942) $x939))))
+(let ((@x2014 (nnf-neg @x1536 (nnf-neg @x1575 @x2006 (~ (not $x1377) $x2007)) (~ (not $x1380) $x2011))))
+(let ((@x1509 (nnf-neg (nnf-pos (refl (~ $x911 $x911)) (~ $x914 $x914)) (~ (not $x917) $x914))))
+(let ((@x2022 (nnf-neg @x1509 (nnf-neg (sk (~ $x942 $x1527)) @x2014 (~ (not $x1383) $x2015)) (~ (not $x1386) $x2019))))
+(let ((@x1486 (nnf-neg (nnf-pos (refl (~ (>= ?x128 0) (>= ?x128 0))) (~ $x899 $x899)) (~ (not $x902) $x899))))
+(let ((@x2030 (nnf-neg @x1486 (nnf-neg (sk (~ $x917 $x1500)) @x2022 (~ (not $x1389) $x2023)) (~ (not $x1392) $x2027))))
+(let ((@x2038 (nnf-neg (refl (~ $x1471 $x1471)) (nnf-neg (sk (~ $x902 $x1477)) @x2030 (~ (not $x1395) $x2031)) (~ (not $x1398) $x2035))))
+(let ((@x2042 (mp~ (not-or-elim (mp (asserted $x349) @x1411 $x1407) (not $x1401)) (nnf-neg (refl (~ $x869 $x869)) @x2038 (~ (not $x1401) $x2039)) $x2039)))
+(let ((@x3878 (mp (mp (mp @x2042 (monotonicity @x2343 (= $x2039 $x2344)) $x2344) @x3020 $x3018) (monotonicity @x3874 (= $x3018 $x3875)) $x3875)))
+(let ((@x4209 (unit-resolution @x3878 (lemma (unit-resolution @x5763 @x3492 (hypothesis $x869) false) $x145) $x3872)))
+(let ((@x4211 (unit-resolution (def-axiom (or $x3866 $x1477 $x3860)) (unit-resolution (def-axiom (or $x3869 $x3863)) @x4209 $x3863) (lemma @x6353 $x1476) $x3860)))
+(let ((@x6165 (unit-resolution ((_ quant-inst ?v0!2) (or (not $x3500) $x2348)) @x3505 (hypothesis $x1491) false)))
+(let ((@x4215 (unit-resolution (def-axiom (or $x3854 $x2368 $x3848)) (unit-resolution (def-axiom (or $x2363 $x1491)) (lemma @x6165 $x2348) $x2363) (unit-resolution (def-axiom (or $x3857 $x3851)) @x4211 $x3851) $x3848)))
+(let ((@x4217 (unit-resolution (def-axiom (or $x3842 $x2414 $x3836)) (unit-resolution (def-axiom (or $x3845 $x3839)) @x4215 $x3839) (unit-resolution (def-axiom (or $x2409 $x1512)) (lemma @x3073 $x2394) $x2409) $x3836)))
+(let ((@x4219 (unit-resolution (def-axiom (or $x3830 $x3544 $x3824)) (unit-resolution (def-axiom (or $x3833 $x3827)) @x4217 $x3827) (lemma @x5735 $x3541) $x3824)))
+(let ((@x5955 (unit-resolution (def-axiom (or $x3821 $x3556)) @x4219 $x3556)))
+(let (($x4373 (or $x3561 $x3904)))
+(let ((@x4363 ((_ quant-inst v_b_v_G_1$) $x4373)))
+(let ((@x5049 (unit-resolution @x4363 @x5955 $x3904)))
+(let ((?x5210 (pair$ v_b_v_G_1$ ?v0!15)))
+(let ((?x5018 (b_G$ ?x5210)))
+(let ((?x4456 (* (- 1) ?x1846)))
+(let ((?x6267 (+ ?x257 ?x4456 ?x5018)))
+(let (($x5853 (<= ?x6267 0)))
+(let (($x6128 (= ?x6267 0)))
+(let (($x6822 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!15)) ?x5018) 0)))
+(let (($x4911 (<= (+ b_Infinity$ (* (- 1) ?x5018)) 0)))
+(let (($x6706 (or $x4911 $x6822)))
+(let (($x6711 (not $x6706)))
+(let ((@x5703 (hypothesis $x1848)))
+(let (($x5745 (or (not (>= (+ ?x1846 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!15))) 0)) $x1847)))
+(let ((?x4480 (fun_app$c v_b_SP_G_1$ ?v0!15)))
+(let (($x5850 (>= ?x4480 0)))
+(let ((@x5698 ((_ th-lemma arith farkas -1 1 1) @x5703 (hypothesis (>= (+ ?x1846 (* (- 1) ?x4480)) 0)) (unit-resolution ((_ quant-inst ?v0!15) (or $x3561 $x5850)) @x5955 $x5850) false)))
+(let ((@x6183 (unit-resolution (lemma @x5698 $x5745) @x5703 (not (>= (+ ?x1846 (* (- 1) ?x4480)) 0)))))
+(let ((@x6242 ((_ th-lemma arith triangle-eq) (or (not (= ?x1846 ?x4480)) (>= (+ ?x1846 (* (- 1) ?x4480)) 0)))))
+(let ((@x4529 (unit-resolution (def-axiom (or $x3821 $x173)) @x4219 $x173)))
+(let ((@x5142 (hypothesis $x3657)))
+(let ((@x4265 (unit-resolution (def-axiom (or $x3654 $x217)) @x5142 $x217)))
+(let ((?x5667 (fun_app$c v_b_SP_G_1$ ?v1!10)))
+(let ((?x5152 (fun_app$c v_b_SP_G_1$ ?v0!11)))
+(let ((?x5630 (* (- 1) ?x5152)))
+(let (($x4072 (>= (+ ?x1727 ?x5630 ?x5667) 0)))
+(let (($x5699 (fun_app$ v_b_Visited_G_1$ ?v1!10)))
+(let (($x1725 (not $x1724)))
+(let ((@x4170 (hypothesis $x2650)))
+(let (($x4150 (>= (+ ?x1721 (* (- 1) ?x5667)) 0)))
+(let ((@x4195 (monotonicity (symm (hypothesis $x217) (= v_b_SP_G_1$ v_b_SP_G_3$)) (= ?x5667 ?x1721))))
+(let ((@x4203 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1721 ?x5667)) $x4150)) (symm @x4195 (= ?x1721 ?x5667)) $x4150)))
+(let (($x4167 (or (not (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)) (not $x4150) $x1724)))
+(let ((@x4163 ((_ th-lemma arith farkas 1 -1 1) (hypothesis $x4150) (hypothesis (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)) (hypothesis $x1725) false)))
+(let ((@x4204 (unit-resolution (lemma @x4163 $x4167) @x4203 (unit-resolution (def-axiom (or $x2645 $x1725)) @x4170 $x1725) (not (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)))))
+(let (($x6045 (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)))
+(let (($x5247 (or $x5699 $x6045)))
+(let ((@x3048 (mp ((_ quant-inst ?v1!10) (or $x3595 $x5247)) (rewrite (= (or $x3595 $x5247) (or $x3595 $x5699 $x6045))) (or $x3595 $x5699 $x6045))))
+(let ((@x4206 (unit-resolution (unit-resolution @x3048 (hypothesis $x3590) $x5247) @x4204 $x5699)))
+(let ((@x4223 (unit-resolution (def-axiom (or $x3821 $x3573)) @x4219 $x3573)))
+(let (($x5758 (not $x5699)))
+(let (($x4064 (or $x3578 $x5758 $x1730 $x4072)))
+(let (($x5845 (or $x5758 $x1730 (>= (+ ?x1727 ?x5667 ?x5630) 0))))
+(let (($x4065 (or $x3578 $x5845)))
+(let ((@x4061 (monotonicity (rewrite (= (+ ?x1727 ?x5667 ?x5630) (+ ?x1727 ?x5630 ?x5667))) (= (>= (+ ?x1727 ?x5667 ?x5630) 0) $x4072))))
+(let ((@x4102 (monotonicity (monotonicity @x4061 (= $x5845 (or $x5758 $x1730 $x4072))) (= $x4065 (or $x3578 (or $x5758 $x1730 $x4072))))))
+(let ((@x4106 (trans @x4102 (rewrite (= (or $x3578 (or $x5758 $x1730 $x4072)) $x4064)) (= $x4065 $x4064))))
+(let ((@x4225 (unit-resolution (mp ((_ quant-inst ?v0!11 ?v1!10) $x4065) @x4106 $x4064) @x4223 (unit-resolution (def-axiom (or $x2645 (not $x1730))) @x4170 (not $x1730)) (or $x5758 $x4072))))
+(let ((@x4228 (monotonicity (symm (hypothesis $x217) (= v_b_SP_G_1$ v_b_SP_G_3$)) (= ?x5152 ?x1734))))
+(let ((@x4234 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1734 ?x5152)) (<= (+ ?x1734 ?x5630) 0))) (symm @x4228 (= ?x1734 ?x5152)) (<= (+ ?x1734 ?x5630) 0))))
+(let ((@x4235 ((_ th-lemma arith farkas -1 -1 1 1) @x4234 (unit-resolution (def-axiom (or $x2645 (not $x2209))) @x4170 (not $x2209)) @x4203 (unit-resolution @x4225 @x4206 $x4072) false)))
+(let ((@x4885 (unit-resolution (lemma @x4235 (or $x2645 $x3595 $x2708)) @x4265 (unit-resolution (def-axiom (or $x3654 $x3590)) @x5142 $x3590) $x2645)))
+(let (($x4595 (<= (+ ?x1661 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!7 ?v0!8)))) 0)))
+(let ((?x3922 (?v1!7 ?v0!8)))
+(let ((?x3910 (fun_app$c v_b_SP_G_1$ ?x3922)))
+(let ((?x3989 (* (- 1) ?x3910)))
+(let ((?x3142 (fun_app$c v_b_SP_G_1$ ?v0!8)))
+(let (($x3936 (<= (+ ?x3142 ?x3989) 0)))
+(let (($x4266 (not $x3936)))
+(let ((?x3945 (pair$ ?x3922 ?v0!8)))
+(let ((?x3946 (b_G$ ?x3945)))
+(let ((?x3031 (* (- 1) ?x3946)))
+(let ((?x3056 (+ ?x3142 ?x3989 ?x3031)))
+(let (($x3032 (= ?x3056 0)))
+(let (($x3033 (not $x3032)))
+(let (($x3034 (or $x3936 (not (fun_app$ v_b_Visited_G_1$ ?x3922)) $x3033)))
+(let (($x3049 (not $x3034)))
+(let ((@x3978 (hypothesis $x1665)))
+(let ((?x3144 (* (- 1) ?x3142)))
+(let ((?x3984 (+ ?x1661 ?x3144)))
+(let (($x3969 (>= ?x3984 0)))
+(let ((@x4544 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1661 ?x3142)) $x3969)) (monotonicity @x4265 (= ?x1661 ?x3142)) $x3969)))
+(let ((@x3973 ((_ th-lemma arith farkas 1 -1 1) (hypothesis $x3969) (hypothesis (<= (+ b_Infinity$ ?x3144) 0)) @x3978 false)))
+(let ((@x4027 (lemma @x3973 (or (not (<= (+ b_Infinity$ ?x3144) 0)) (not $x3969) $x1664))))
+(let ((@x4552 (unit-resolution @x4027 @x4544 @x3978 (not (<= (+ b_Infinity$ ?x3144) 0)))))
+(let ((@x3425 (def-axiom (or $x3630 $x1749))))
+(let ((@x4543 (unit-resolution @x3425 (trans (monotonicity @x4265 (= ?x245 ?x172)) @x4529 $x246) $x3630)))
+(let ((@x3134 (def-axiom (or $x3639 $x2650 $x3633))))
+(let ((@x3138 (def-axiom (or $x3642 $x3636))))
+(let ((@x3120 (def-axiom (or $x3651 $x3611 $x3645))))
+(let ((@x4905 (unit-resolution @x3120 (unit-resolution @x3138 (unit-resolution @x3134 @x4543 @x4885 $x3639) $x3642) (unit-resolution (def-axiom (or $x3654 $x3648)) @x5142 $x3648) $x3611)))
+(let ((@x4545 (unit-resolution (def-axiom (or $x3821 $x3581)) @x4219 $x3581)))
+(let (($x4738 (= (or $x3586 (or $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049)) (or $x3586 $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049))))
+(let ((@x4737 ((_ quant-inst ?v0!8) (or $x3586 (or $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049)))))
+(let ((@x5209 (mp @x4737 (rewrite $x4738) (or $x3586 $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049))))
+(let ((@x4406 (unit-resolution @x5209 @x4545 (unit-resolution (def-axiom (or $x3608 $x1660)) @x4905 $x1660) @x4552 $x3049)))
+(let ((?x3126 (fun_app$c v_b_SP_G_3$ ?x3922)))
+(let ((?x4327 (+ ?x3126 ?x3989)))
+(let (($x4402 (<= ?x4327 0)))
+(let ((@x4541 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3126 ?x3910)) $x4402)) (monotonicity @x4265 (= ?x3126 ?x3910)) $x4402)))
+(let ((@x4852 ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x3969) (hypothesis $x4595) (hypothesis $x4402) (hypothesis $x4266) false)))
+(let ((@x4542 (unit-resolution (lemma @x4852 (or (not $x4595) (not $x3969) (not $x4402) $x3936)) @x4544 @x4541 (unit-resolution (def-axiom (or $x3034 $x4266)) @x4406 $x4266) (not $x4595))))
+(let ((?x5182 (* (- 1) ?x3126)))
+(let ((?x4179 (+ ?x1661 ?x5182 ?x3031)))
+(let (($x5089 (= ?x4179 0)))
+(let (($x3918 (>= ?x4179 0)))
+(let (($x5284 (>= ?x3056 0)))
+(let ((@x4264 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3033 $x5284)) (unit-resolution (def-axiom (or $x3034 $x3032)) @x4406 $x3032) $x5284)))
+(let ((@x5267 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 1) (or $x3918 (not $x5284) (not $x3969) (not $x4402))) @x4264 @x4544 @x4541 $x3918)))
+(let (($x3917 (<= ?x4179 0)))
+(let (($x4407 (>= ?x4327 0)))
+(let ((@x4549 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3126 ?x3910)) $x4407)) (monotonicity @x4265 (= ?x3126 ?x3910)) $x4407)))
+(let (($x3979 (<= ?x3984 0)))
+(let ((@x6239 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1661 ?x3142)) $x3979)) (monotonicity @x4265 (= ?x1661 ?x3142)) $x3979)))
+(let (($x5179 (<= ?x3056 0)))
+(let ((@x3960 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3033 $x5179)) (unit-resolution (def-axiom (or $x3034 $x3032)) @x4406 $x3032) $x5179)))
+(let ((@x4631 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 1) (or $x3917 (not $x5179) (not $x3979) (not $x4407))) @x3960 @x6239 @x4549 $x3917)))
+(let ((@x4760 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x5089 (not $x3917) (not $x3918))) @x4631 @x5267 $x5089)))
+(let (($x4746 (not $x5089)))
+(let (($x4181 (or $x4595 $x4746)))
+(let (($x3184 (or $x3605 $x4595 $x4746)))
+(let (($x5980 (>= (+ ?x3126 ?x1662) 0)))
+(let (($x5913 (or $x5980 (not (= (+ ?x3126 ?x1662 ?x3946) 0)))))
+(let (($x3976 (or $x3605 $x5913)))
+(let ((@x4178 (monotonicity (rewrite (= (+ ?x3126 ?x1662 ?x3946) (+ ?x1662 ?x3126 ?x3946))) (= (= (+ ?x3126 ?x1662 ?x3946) 0) (= (+ ?x1662 ?x3126 ?x3946) 0)))))
+(let ((@x4745 (trans @x4178 (rewrite (= (= (+ ?x1662 ?x3126 ?x3946) 0) $x5089)) (= (= (+ ?x3126 ?x1662 ?x3946) 0) $x5089))))
+(let ((@x5181 (monotonicity (rewrite (= (+ ?x3126 ?x1662) (+ ?x1662 ?x3126))) (= $x5980 (>= (+ ?x1662 ?x3126) 0)))))
+(let ((@x4634 (trans @x5181 (rewrite (= (>= (+ ?x1662 ?x3126) 0) $x4595)) (= $x5980 $x4595))))
+(let ((@x4184 (monotonicity @x4634 (monotonicity @x4745 (= (not (= (+ ?x3126 ?x1662 ?x3946) 0)) $x4746)) (= $x5913 $x4181))))
+(let ((@x3916 (trans (monotonicity @x4184 (= $x3976 (or $x3605 $x4181))) (rewrite (= (or $x3605 $x4181) $x3184)) (= $x3976 $x3184))))
+(let ((@x5060 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!8)) $x3976) @x3916 $x3184) (unit-resolution (def-axiom (or $x3608 $x3600)) @x4905 $x3600) $x4181)))
+(let ((@x6153 (unit-resolution (lemma (unit-resolution @x5060 @x4760 @x4542 false) (or $x3654 $x1664)) @x5142 $x1664)))
+(let ((@x6273 (unit-resolution @x3120 (unit-resolution (def-axiom (or $x3608 $x1665)) @x6153 $x3608) (unit-resolution (def-axiom (or $x3654 $x3648)) @x5142 $x3648) $x3645)))
+(let ((@x5939 (unit-resolution @x3425 (unit-resolution @x3134 (unit-resolution @x3138 @x6273 $x3636) @x4885 $x3633) $x1749)))
+(let ((@x5914 (unit-resolution @x5939 (trans (monotonicity @x4265 (= ?x245 ?x172)) @x4529 $x246) false)))
+(let ((@x6386 (unit-resolution (def-axiom (or $x3818 $x3657 $x3812)) (unit-resolution (def-axiom (or $x3821 $x3815)) @x4219 $x3815) $x3815)))
+(let ((@x6181 (unit-resolution @x6386 (lemma @x5914 $x3654) $x3812)))
+(let ((@x5944 (unit-resolution (def-axiom (or $x3809 $x3678)) @x6181 $x3678)))
+(let (($x4481 (= ?x1846 ?x4480)))
+(let (($x3188 (or $x3683 $x6711 $x4481)))
+(let (($x5285 (or (not (or $x4911 (<= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) 0))) $x4481)))
+(let (($x6363 (or $x3683 $x5285)))
+(let (($x5370 (<= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) 0)))
+(let ((@x4465 (rewrite (= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) (+ ?x1173 ?x4480 (* (- 1) ?x5018))))))
+(let ((@x6818 (monotonicity @x4465 (= $x5370 (<= (+ ?x1173 ?x4480 (* (- 1) ?x5018)) 0)))))
+(let ((@x6705 (trans @x6818 (rewrite (= (<= (+ ?x1173 ?x4480 (* (- 1) ?x5018)) 0) $x6822)) (= $x5370 $x6822))))
+(let ((@x5840 (monotonicity (monotonicity @x6705 (= (or $x4911 $x5370) $x6706)) (= (not (or $x4911 $x5370)) $x6711))))
+(let ((@x6545 (monotonicity (monotonicity @x5840 (= $x5285 (or $x6711 $x4481))) (= $x6363 (or $x3683 (or $x6711 $x4481))))))
+(let ((@x4811 (trans @x6545 (rewrite (= (or $x3683 (or $x6711 $x4481)) $x3188)) (= $x6363 $x3188))))
+(let ((@x6726 (unit-resolution (mp ((_ quant-inst ?v0!15) $x6363) @x4811 $x3188) @x5944 (unit-resolution @x6242 @x6183 (not $x4481)) $x6711)))
+(let ((@x6470 (unit-resolution (def-axiom (or $x6706 (not $x4911))) (hypothesis $x6711) (not $x4911))))
+(let ((@x6494 (unit-resolution (def-axiom (or $x6706 (not $x6822))) (hypothesis $x6711) (not $x6822))))
+(let (($x6511 (or $x4911 $x6822 $x6128)))
+(let ((@x6588 (unit-resolution (def-axiom (or $x3809 $x3670)) @x6181 $x3670)))
+(let (($x6235 (or $x3675 $x4911 $x6822 $x6128)))
+(let (($x6510 (or $x4911 $x5370 (= (+ ?x257 ?x5018 ?x4456) 0))))
+(let (($x6263 (or $x3675 $x6510)))
+(let ((@x6480 (monotonicity (rewrite (= (+ ?x257 ?x5018 ?x4456) ?x6267)) (= (= (+ ?x257 ?x5018 ?x4456) 0) $x6128))))
+(let ((@x4472 (monotonicity (monotonicity @x6705 @x6480 (= $x6510 $x6511)) (= $x6263 (or $x3675 $x6511)))))
+(let ((@x5852 (mp ((_ quant-inst ?v0!15) $x6263) (trans @x4472 (rewrite (= (or $x3675 $x6511) $x6235)) (= $x6263 $x6235)) $x6235)))
+(let ((@x6501 (unit-resolution (unit-resolution @x5852 @x6588 $x6511) @x6494 @x6470 (hypothesis (not $x6128)) false)))
+(let ((@x4608 (lemma @x6501 (or $x6706 $x6128))))
+(let ((@x6959 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6128) $x5853)) (unit-resolution @x4608 @x6726 $x6128) $x5853)))
+(let (($x6603 (>= ?x5018 0)))
+(let (($x6582 (<= ?x5018 0)))
+(let (($x6583 (not $x6582)))
+(let (($x6156 (= v_b_v_G_1$ ?v0!15)))
+(let (($x5538 (not $x6156)))
+(let ((@x7337 (symm (commutativity (= $x6156 (= ?v0!15 v_b_v_G_1$))) (= (= ?v0!15 v_b_v_G_1$) $x6156))))
+(let (($x6631 (= ?v0!15 v_b_v_G_1$)))
+(let (($x7483 (not $x6631)))
+(let (($x6269 (fun_app$ v_b_Visited_G_1$ ?v0!15)))
+(let (($x7698 (or $x6631 $x6269)))
+(let (($x6630 (fun_app$ ?x265 ?v0!15)))
+(let (($x7702 (= $x6630 $x7698)))
+(let (($x3468 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(!(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
+(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))) :pattern ( (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3) )))
+))
+(let (($x77 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
+(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))))
+))
+(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?3) ?2) ?1) ?0)))
+(let (($x74 (= $x67 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0)))))
+(let (($x72 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
+(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))))
+))
+(let ((@x76 (rewrite (= (= $x67 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0))) $x74))))
+(let ((@x1443 (mp~ (mp (asserted $x72) (quant-intro @x76 (= $x72 $x77)) $x77) (nnf-pos (refl (~ $x74 $x74)) (~ $x77 $x77)) $x77)))
+(let ((@x3473 (mp @x1443 (quant-intro (refl (= $x74 $x74)) (= $x77 $x3468)) $x3468)))
+(let (($x4114 (not $x3468)))
+(let (($x6435 (or $x4114 $x7702)))
+(let ((@x5925 (monotonicity (rewrite (= (ite $x6631 true $x6269) $x7698)) (= (= $x6630 (ite $x6631 true $x6269)) $x7702))))
+(let ((@x6213 (monotonicity @x5925 (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
+(let ((@x7487 (trans @x6213 (rewrite (= $x6435 $x6435)) (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
+(let ((@x7488 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!15) (or $x4114 (= $x6630 (ite $x6631 true $x6269)))) @x7487 $x6435)))
+(let ((@x5875 (symm (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (= ?x265 v_b_Visited_G_2$))))
+(let ((@x7321 (symm (monotonicity @x5875 (= $x6630 (fun_app$ v_b_Visited_G_2$ ?v0!15))) (= (fun_app$ v_b_Visited_G_2$ ?v0!15) $x6630))))
+(let ((@x7322 (monotonicity @x7321 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!15)) (not $x6630)))))
+(let (($x4415 (fun_app$ v_b_Visited_G_2$ ?v0!15)))
+(let (($x4479 (not $x4415)))
+(let ((?x5054 (b_G$ (pair$ v_b_v_G_1$ ?v0!13))))
+(let ((?x4706 (+ ?x257 ?x1810 ?x5054)))
+(let (($x4687 (= ?x4706 0)))
+(let (($x5187 (>= (+ ?x257 (* (- 1) ?x1808) ?x5054) 0)))
+(let (($x5051 (<= (+ b_Infinity$ (* (- 1) ?x5054)) 0)))
+(let (($x5186 (or $x5051 $x5187)))
+(let (($x5221 (not $x5186)))
+(let ((@x5744 (monotonicity (commutativity (= (= ?x1808 ?x1809) (= ?x1809 ?x1808))) (= (not (= ?x1808 ?x1809)) (not (= ?x1809 ?x1808))))))
+(let (($x5690 (not (= ?x1808 ?x1809))))
+(let ((@x5726 (mp (unit-resolution ((_ th-lemma arith triangle-eq) (or $x5690 $x1812)) (hypothesis $x1813) $x5690) @x5744 (not (= ?x1809 ?x1808)))))
+(let (($x5270 (= ?x1809 ?x1808)))
+(let (($x5230 (or $x5221 $x5270)))
+(let ((@x4739 (hypothesis $x3678)))
+(let (($x5327 (or $x3683 $x5221 $x5270)))
+(let (($x5333 (or (not (or $x5051 (<= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) 0))) $x5270)))
+(let (($x5268 (or $x3683 $x5333)))
+(let (($x5095 (<= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) 0)))
+(let ((@x5120 (rewrite (= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) (+ ?x1173 ?x1808 (* (- 1) ?x5054))))))
+(let ((@x5127 (monotonicity @x5120 (= $x5095 (<= (+ ?x1173 ?x1808 (* (- 1) ?x5054)) 0)))))
+(let ((@x4705 (trans @x5127 (rewrite (= (<= (+ ?x1173 ?x1808 (* (- 1) ?x5054)) 0) $x5187)) (= $x5095 $x5187))))
+(let ((@x5229 (monotonicity (monotonicity @x4705 (= (or $x5051 $x5095) $x5186)) (= (not (or $x5051 $x5095)) $x5221))))
+(let ((@x5269 (monotonicity (monotonicity @x5229 (= $x5333 $x5230)) (= $x5268 (or $x3683 $x5230)))))
+(let ((@x5432 (mp ((_ quant-inst ?v0!13) $x5268) (trans @x5269 (rewrite (= (or $x3683 $x5230) $x5327)) (= $x5268 $x5327)) $x5327)))
+(let ((@x5729 (unit-resolution (def-axiom (or $x5186 (not $x5051))) (unit-resolution (unit-resolution @x5432 @x4739 $x5230) @x5726 $x5221) (not $x5051))))
+(let ((@x5749 (unit-resolution (def-axiom (or $x5186 (not $x5187))) (unit-resolution (unit-resolution @x5432 @x4739 $x5230) @x5726 $x5221) (not $x5187))))
+(let (($x5211 (or $x5051 $x5187 $x4687)))
+(let ((@x5807 (hypothesis $x3670)))
+(let (($x5189 (or $x3675 $x5051 $x5187 $x4687)))
+(let (($x5102 (or $x5051 $x5095 (= (+ ?x257 ?x5054 ?x1810) 0))))
+(let (($x5163 (or $x3675 $x5102)))
+(let ((@x5164 (monotonicity (rewrite (= (+ ?x257 ?x5054 ?x1810) ?x4706)) (= (= (+ ?x257 ?x5054 ?x1810) 0) $x4687))))
+(let ((@x5215 (monotonicity (monotonicity @x4705 @x5164 (= $x5102 $x5211)) (= $x5163 (or $x3675 $x5211)))))
+(let ((@x5376 (mp ((_ quant-inst ?v0!13) $x5163) (trans @x5215 (rewrite (= (or $x3675 $x5211) $x5189)) (= $x5163 $x5189)) $x5189)))
+(let ((@x5714 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4687) (>= ?x4706 0))) (unit-resolution (unit-resolution @x5376 @x5807 $x5211) @x5749 @x5729 $x4687) (>= ?x4706 0))))
+(let ((@x5723 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (<= ?x1811 0) $x1812)) (hypothesis $x1813) (<= ?x1811 0))))
+(let ((@x6888 (unit-resolution (lemma ((_ th-lemma arith farkas 1 -1 1) @x5723 @x5749 @x5714 false) (or $x1812 $x3675 $x3683)) @x6588 @x5944 $x1812)))
+(let ((@x6891 (unit-resolution (def-axiom (or $x3806 $x1813 $x3800)) @x6888 (unit-resolution (def-axiom (or $x3809 $x3803)) @x6181 $x3803) $x3800)))
+(let (($x6050 (= ?v0!14 v_b_v_G_1$)))
+(let (($x5678 (fun_app$ v_b_Visited_G_1$ ?v0!14)))
+(let (($x4963 (or $x6050 $x5678)))
+(let (($x6049 (fun_app$ ?x265 ?v0!14)))
+(let (($x6452 (= $x6049 $x4963)))
+(let (($x5869 (or $x4114 $x6452)))
+(let ((@x6355 (monotonicity (rewrite (= (ite $x6050 true $x5678) $x4963)) (= (= $x6049 (ite $x6050 true $x5678)) $x6452))))
+(let ((@x5854 (monotonicity @x6355 (= (or $x4114 (= $x6049 (ite $x6050 true $x5678))) $x5869))))
+(let ((@x6366 (trans @x5854 (rewrite (= $x5869 $x5869)) (= (or $x4114 (= $x6049 (ite $x6050 true $x5678))) $x5869))))
+(let ((@x6233 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!14) (or $x4114 (= $x6049 (ite $x6050 true $x5678)))) @x6366 $x5869)))
+(let ((@x6372 (symm (monotonicity @x5875 (= $x6049 (fun_app$ v_b_Visited_G_2$ ?v0!14))) (= (fun_app$ v_b_Visited_G_2$ ?v0!14) $x6049))))
+(let (($x1824 (fun_app$ v_b_Visited_G_2$ ?v0!14)))
+(let ((@x4837 (mp (unit-resolution (def-axiom (or $x1829 $x1824)) (hypothesis $x1830) $x1824) @x6372 $x6049)))
+(let ((@x5037 (unit-resolution (def-axiom (or (not $x6452) (not $x6049) $x4963)) @x4837 (unit-resolution @x6233 @x3473 $x6452) $x4963)))
+(let (($x4290 (not $x5678)))
+(let ((?x5658 (* (- 1) ?x1827)))
+(let ((?x4907 (+ ?x257 ?x5658)))
+(let (($x6523 (>= ?x4907 0)))
+(let (($x6556 (not $x6523)))
+(let (($x4887 (>= (+ ?x257 ?x5658 (b_G$ (pair$ v_b_v_G_1$ ?v0!14))) 0)))
+(let (($x4812 (not $x4887)))
+(let (($x4783 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
+(let (($x5110 (or $x4783 $x4887)))
+(let (($x5079 (not $x5110)))
+(let ((@x5065 (unit-resolution (def-axiom (or $x1829 (not $x1828))) (hypothesis $x1830) (not $x1828))))
+(let (($x4844 (or $x3683 $x5079 $x1828)))
+(let (($x4891 (<= (+ ?x1827 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
+(let (($x5552 (or (not (or $x4783 $x4891)) $x1828)))
+(let (($x4766 (or $x3683 $x5552)))
+(let (($x4493 (<= (+ ?x1173 ?x1827 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
+(let (($x5019 (= (+ ?x1827 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) (+ ?x1173 ?x1827 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))))))
+(let ((@x5288 (trans (monotonicity (rewrite $x5019) (= $x4891 $x4493)) (rewrite (= $x4493 $x4887)) (= $x4891 $x4887))))
+(let ((@x5082 (monotonicity (monotonicity @x5288 (= (or $x4783 $x4891) $x5110)) (= (not (or $x4783 $x4891)) $x5079))))
+(let ((@x5868 (monotonicity (monotonicity @x5082 (= $x5552 (or $x5079 $x1828))) (= $x4766 (or $x3683 (or $x5079 $x1828))))))
+(let ((@x5811 (trans @x5868 (rewrite (= (or $x3683 (or $x5079 $x1828)) $x4844)) (= $x4766 $x4844))))
+(let ((@x6433 (unit-resolution (def-axiom (or $x5110 $x4812)) (unit-resolution (mp ((_ quant-inst ?v0!14) $x4766) @x5811 $x4844) @x5944 @x5065 $x5079) $x4812)))
+(let ((?x6047 (pair$ v_b_v_G_1$ ?v0!14)))
+(let ((?x6491 (b_G$ ?x6047)))
+(let (($x5826 (>= ?x6491 0)))
+(let ((@x6283 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6491 0)) $x5826)) (hypothesis (not $x5826)) (not (= ?x6491 0)))))
+(let (($x5742 (= v_b_v_G_1$ ?v0!14)))
+(let (($x5751 (<= ?x6491 0)))
+(let ((@x6302 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x5826 $x5751)) (hypothesis (not $x5826)) $x5751)))
+(let (($x5738 (or $x5742 (not $x5751))))
+(let (($x3480 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let (($x84 (= ?v0 ?v1)))
+(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :pattern ( (pair$ ?v0 ?v1) )))
+))
+(let (($x120 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x84 (= ?v0 ?v1)))
+(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))))
+))
+(let (($x84 (= ?1 ?0)))
+(let (($x117 (or $x84 (not (<= (b_G$ (pair$ ?1 ?0)) 0)))))
+(let (($x105 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x29 (pair$ ?v0 ?v1)))
+(let ((?x85 (b_G$ ?x29)))
+(let (($x102 (< 0 ?x85)))
+(=> (not (= ?v0 ?v1)) $x102)))))
+))
+(let (($x110 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x29 (pair$ ?v0 ?v1)))
+(let ((?x85 (b_G$ ?x29)))
+(let (($x102 (< 0 ?x85)))
+(let (($x84 (= ?v0 ?v1)))
+(or $x84 $x102))))))
+))
+(let ((?x29 (pair$ ?1 ?0)))
+(let ((?x85 (b_G$ ?x29)))
+(let (($x102 (< 0 ?x85)))
+(let ((@x119 (monotonicity (rewrite (= $x102 (not (<= ?x85 0)))) (= (or $x84 $x102) $x117))))
+(let ((@x112 (quant-intro (rewrite (= (=> (not $x84) $x102) (or $x84 $x102))) (= $x105 $x110))))
+(let ((@x125 (mp (asserted $x105) (trans @x112 (quant-intro @x119 (= $x110 $x120)) (= $x105 $x120)) $x120)))
+(let ((@x3485 (mp (mp~ @x125 (nnf-pos (refl (~ $x117 $x117)) (~ $x120 $x120)) $x120) (quant-intro (refl (= $x117 $x117)) (= $x120 $x3480)) $x3480)))
+(let ((@x5780 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3480) $x5738)) (rewrite (= (or (not $x3480) $x5738) (or (not $x3480) $x5742 (not $x5751)))) (or (not $x3480) $x5742 (not $x5751)))))
+(let (($x5739 (= ?x6491 0)))
+(let (($x5781 (or (not $x5742) $x5739)))
+(let (($x3474 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :pattern ( (pair$ ?v0 ?v1) )))
+))
+(let (($x99 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)))
+))
+(let ((@x3476 (refl (= (or (not $x84) (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
+(let ((@x1447 (refl (~ (or (not $x84) (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
+(let (($x93 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x84 (= ?v0 ?v1)))
+(=> $x84 (= (b_G$ (pair$ ?v0 ?v1)) 0))))
+))
+(let ((@x98 (rewrite (= (=> $x84 (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
+(let ((@x1448 (mp~ (mp (asserted $x93) (quant-intro @x98 (= $x93 $x99)) $x99) (nnf-pos @x1447 (~ $x99 $x99)) $x99)))
+(let ((@x3479 (mp @x1448 (quant-intro @x3476 (= $x99 $x3474)) $x3474)))
+(let ((@x5817 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3474) $x5781)) (rewrite (= (or (not $x3474) $x5781) (or (not $x3474) (not $x5742) $x5739))) (or (not $x3474) (not $x5742) $x5739))))
+(let ((@x6306 (unit-resolution (unit-resolution @x5817 @x3479 $x5781) (unit-resolution (unit-resolution @x5780 @x3485 $x5738) @x6302 $x5742) @x6283 false)))
+(let ((@x6555 ((_ th-lemma arith farkas 1 -1 1) (lemma @x6306 $x5826) (hypothesis $x4812) (hypothesis $x6523) false)))
+(let ((@x6225 (unit-resolution (def-axiom (or $x3809 $x256)) @x6181 $x256)))
+(let ((@x5748 (unit-resolution (def-axiom (or $x3821 $x3565)) @x4219 $x3565)))
+(let ((@x6018 (rewrite (= (or $x3570 (or $x255 $x4290 $x6523)) (or $x3570 $x255 $x4290 $x6523)))))
+(let ((@x6055 (mp ((_ quant-inst ?v0!14 v_b_v_G_1$) (or $x3570 (or $x255 $x4290 $x6523))) @x6018 (or $x3570 $x255 $x4290 $x6523))))
+(let ((@x6222 (unit-resolution @x6055 @x5748 @x6225 (hypothesis $x5678) (hypothesis $x6556) false)))
+(let ((@x5057 (unit-resolution (lemma @x6222 (or $x4290 $x6523)) (unit-resolution (lemma @x6555 (or $x6556 $x4887)) @x6433 $x6556) $x4290)))
+(let ((@x6293 (monotonicity (unit-resolution (def-axiom (or (not $x4963) $x6050 $x5678)) @x5057 @x5037 $x6050) (= ?x1827 ?x257))))
+(let (($x3052 (= ?x3104 ?x257)))
+(let ((?x3130 (pair$ v_b_v_G_1$ v_b_v_G_1$)))
+(let ((?x3096 (b_G$ ?x3130)))
+(let (($x3079 (>= ?x3096 0)))
+(let (($x3088 (<= (+ b_Infinity$ (* (- 1) ?x3096)) 0)))
+(let (($x4242 (or $x3088 $x3079)))
+(let (($x4785 (= ?x3096 0)))
+(let (($x3151 (not $x3474)))
+(let (($x4816 (or $x3151 $x4785)))
+(let ((@x4770 (monotonicity (rewrite (= (= v_b_v_G_1$ v_b_v_G_1$) true)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) (not true)))))
+(let ((@x4775 (trans @x4770 (rewrite (= (not true) false)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) false))))
+(let ((@x4767 (monotonicity @x4775 (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785) (or false $x4785)))))
+(let ((@x4773 (trans @x4767 (rewrite (= (or false $x4785) $x4785)) (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785) $x4785))))
+(let ((@x4820 (monotonicity @x4773 (= (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785)) $x4816))))
+(let ((@x4821 (trans @x4820 (rewrite (= $x4816 $x4816)) (= (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785)) $x4816))))
+(let ((@x4822 (mp ((_ quant-inst v_b_v_G_1$ v_b_v_G_1$) (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785))) @x4821 $x4816)))
+(let ((@x4849 (lemma (unit-resolution @x4822 @x3479 (hypothesis (not $x4785)) false) $x4785)))
+(let ((@x6019 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4785) $x3079)) @x4849 $x3079)))
+(let ((@x4316 (def-axiom (or $x4242 (not $x3079)))))
+(let (($x4245 (not $x4242)))
+(let (($x3975 (or $x3683 $x4245 $x3052)))
+(let (($x3053 (or (not (or $x3088 (<= (+ ?x257 ?x1173 (* (- 1) ?x3096)) 0))) $x3052)))
+(let (($x3958 (or $x3683 $x3053)))
+(let (($x3103 (<= (+ ?x257 ?x1173 (* (- 1) ?x3096)) 0)))
+(let ((@x4023 (monotonicity (rewrite (= (+ ?x257 ?x1173 (* (- 1) ?x3096)) (* (- 1) ?x3096))) (= $x3103 (<= (* (- 1) ?x3096) 0)))))
+(let ((@x4044 (trans @x4023 (rewrite (= (<= (* (- 1) ?x3096) 0) $x3079)) (= $x3103 $x3079))))
+(let ((@x4247 (monotonicity (monotonicity @x4044 (= (or $x3088 $x3103) $x4242)) (= (not (or $x3088 $x3103)) $x4245))))
+(let ((@x4254 (monotonicity (monotonicity @x4247 (= $x3053 (or $x4245 $x3052))) (= $x3958 (or $x3683 (or $x4245 $x3052))))))
+(let ((@x4258 (trans @x4254 (rewrite (= (or $x3683 (or $x4245 $x3052)) $x3975)) (= $x3958 $x3975))))
+(let ((@x4259 (mp ((_ quant-inst v_b_v_G_1$) $x3958) @x4258 $x3975)))
+(let ((@x6268 (monotonicity (unit-resolution (def-axiom (or (not $x4963) $x6050 $x5678)) @x5057 @x5037 $x6050) (= ?x1826 ?x3104))))
+(let ((@x6107 (trans @x6268 (unit-resolution @x4259 @x5944 (unit-resolution @x4316 @x6019 $x4242) $x3052) (= ?x1826 ?x257))))
+(let ((@x6162 (unit-resolution @x5065 (trans @x6107 (symm @x6293 (= ?x257 ?x1827)) $x1828) false)))
+(let ((@x7615 (unit-resolution (def-axiom (or $x3794 $x1830 $x3788)) (lemma @x6162 $x1829) (unit-resolution (def-axiom (or $x3797 $x3791)) @x6891 $x3791) $x3788)))
+(let ((@x7616 (unit-resolution (def-axiom (or $x3785 $x3695)) @x7615 $x3695)))
+(let ((@x7443 (mp ((_ quant-inst ?v0!15) (or $x3700 (or $x4479 $x4481))) (rewrite (= (or $x3700 (or $x4479 $x4481)) (or $x3700 $x4479 $x4481))) (or $x3700 $x4479 $x4481))))
+(let ((@x7323 (mp (unit-resolution @x7443 @x7616 (unit-resolution @x6242 @x6183 (not $x4481)) $x4479) @x7322 (not $x6630))))
+(let ((@x7334 (unit-resolution (def-axiom (or (not $x7702) $x6630 (not $x7698))) @x7323 (unit-resolution @x7488 @x3473 $x7702) (not $x7698))))
+(let ((@x7344 (mp (unit-resolution (def-axiom (or $x7698 $x7483)) @x7334 $x7483) (monotonicity @x7337 (= $x7483 $x5538)) $x5538)))
+(let (($x5470 (or $x6156 $x6583)))
+(let ((@x6577 (mp ((_ quant-inst v_b_v_G_1$ ?v0!15) (or (not $x3480) $x5470)) (rewrite (= (or (not $x3480) $x5470) (or (not $x3480) $x6156 $x6583))) (or (not $x3480) $x6156 $x6583))))
+(let ((@x7345 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x6603 $x6582)) (unit-resolution (unit-resolution @x6577 @x3485 $x5470) @x7344 $x6583) $x6603)))
+(let (($x4153 (<= ?x296 0)))
+(let ((?x4058 (* (- 1) ?x296)))
+(let ((?x4124 (+ ?x172 ?x4058)))
+(let (($x4125 (>= ?x4124 0)))
+(let ((@x6892 (unit-resolution (def-axiom (or $x3797 $x3686)) @x6891 $x3686)))
+(let (($x4878 (or $x3691 $x4125)))
+(let ((@x4880 ((_ quant-inst b_Source$) $x4878)))
+(let (($x3198 (<= ?x172 0)))
+(let ((@x4532 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x2952 $x3198)) @x4529 $x3198)))
+(let ((@x6899 (unit-resolution ((_ th-lemma arith assign-bounds -1 1) (or $x4153 (not $x3198) (not $x4125))) @x4532 (or $x4153 (not $x4125)))))
+(let ((@x6900 (unit-resolution @x6899 (unit-resolution @x4880 @x6892 $x4125) $x4153)))
+(let (($x3887 (= v_b_v_G_1$ b_Source$)))
+(let (($x5313 (not $x3887)))
+(let ((@x5202 (hypothesis $x773)))
+(let ((?x4565 (pair$ b_Source$ b_Source$)))
+(let ((?x4566 (b_G$ ?x4565)))
+(let ((?x4567 (* (- 1) ?x4566)))
+(let ((?x4041 (pair$ v_b_v_G_1$ b_Source$)))
+(let ((?x4042 (b_G$ ?x4041)))
+(let ((@x4671 (monotonicity (symm (hypothesis $x3887) (= b_Source$ v_b_v_G_1$)) (= ?x4565 ?x4041))))
+(let ((@x4659 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x4042 ?x4566)) (>= (+ ?x4042 ?x4567) 0))) (monotonicity (symm @x4671 (= ?x4041 ?x4565)) (= ?x4042 ?x4566)) (>= (+ ?x4042 ?x4567) 0))))
+(let ((?x4049 (* (- 1) ?x4042)))
+(let ((?x5672 (+ ?x3096 ?x4049)))
+(let (($x5674 (>= ?x5672 0)))
+(let ((@x4664 (monotonicity (monotonicity (hypothesis $x3887) (= ?x3130 ?x4041)) (= ?x3096 ?x4042))))
+(let (($x4315 (not $x3079)))
+(let ((@x4728 (trans (monotonicity (hypothesis $x3887) (= ?x257 ?x172)) @x4529 (= ?x257 0))))
+(let ((@x4830 (monotonicity (monotonicity (hypothesis $x3887) (= ?x3104 ?x296)) @x4728 (= $x3052 $x297))))
+(let ((@x4736 (mp @x5202 (monotonicity (symm @x4830 (= $x297 $x3052)) (= $x773 (not $x3052))) (not $x3052))))
+(let ((@x5369 (unit-resolution @x4316 (unit-resolution (unit-resolution @x4259 @x4739 (or $x4245 $x3052)) @x4736 $x4245) $x4315)))
+(let (($x4601 (= ?x4566 0)))
+(let (($x4613 (or $x3151 $x4601)))
+(let ((@x4604 (monotonicity @x5820 (= (or (not (= b_Source$ b_Source$)) $x4601) (or false $x4601)))))
+(let ((@x4630 (trans @x4604 (rewrite (= (or false $x4601) $x4601)) (= (or (not (= b_Source$ b_Source$)) $x4601) $x4601))))
+(let ((@x4617 (monotonicity @x4630 (= (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601)) $x4613))))
+(let ((@x4620 (trans @x4617 (rewrite (= $x4613 $x4613)) (= (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601)) $x4613))))
+(let ((@x4621 (mp ((_ quant-inst b_Source$ b_Source$) (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601))) @x4620 $x4613)))
+(let ((@x5180 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4601) (>= ?x4566 0))) (unit-resolution @x4621 @x3479 $x4601) (>= ?x4566 0))))
+(let ((@x5283 ((_ th-lemma arith farkas 1 -1 1 1) @x5180 @x5369 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3096 ?x4042)) $x5674)) @x4664 $x5674) @x4659 false)))
+(let (($x5310 (<= ?x4042 0)))
+(let ((?x4076 (+ ?x257 ?x4058 ?x4042)))
+(let (($x4096 (<= ?x4076 0)))
+(let (($x4079 (= ?x4076 0)))
+(let (($x4053 (<= (+ ?x172 ?x1173 ?x4049) 0)))
+(let (($x4051 (<= (+ b_Infinity$ ?x4049) 0)))
+(let (($x4054 (or $x4051 $x4053)))
+(let (($x4055 (not $x4054)))
+(let ((@x5609 (symm (monotonicity @x4529 (= (= ?x296 ?x172) $x297)) (= $x297 (= ?x296 ?x172)))))
+(let ((@x5618 (mp @x5202 (monotonicity @x5609 (= $x773 (not (= ?x296 ?x172)))) (not (= ?x296 ?x172)))))
+(let (($x4056 (= ?x296 ?x172)))
+(let (($x4057 (or $x4055 $x4056)))
+(let (($x4295 (or $x3683 $x4055 $x4056)))
+(let ((@x4884 (mp ((_ quant-inst b_Source$) (or $x3683 $x4057)) (rewrite (= (or $x3683 $x4057) $x4295)) $x4295)))
+(let ((@x5791 (unit-resolution (def-axiom (or $x4054 (not $x4051))) (hypothesis $x4055) (not $x4051))))
+(let ((@x5806 (unit-resolution (def-axiom (or $x4054 (not $x4053))) (hypothesis $x4055) (not $x4053))))
+(let (($x4082 (or $x4051 $x4053 $x4079)))
+(let (($x4085 (or $x3675 $x4051 $x4053 $x4079)))
+(let (($x4075 (or $x4051 $x4053 (= (+ ?x257 ?x4042 ?x4058) 0))))
+(let (($x4086 (or $x3675 $x4075)))
+(let ((@x4081 (monotonicity (rewrite (= (+ ?x257 ?x4042 ?x4058) ?x4076)) (= (= (+ ?x257 ?x4042 ?x4058) 0) $x4079))))
+(let ((@x4090 (monotonicity (monotonicity @x4081 (= $x4075 $x4082)) (= $x4086 (or $x3675 $x4082)))))
+(let ((@x4095 (mp ((_ quant-inst b_Source$) $x4086) (trans @x4090 (rewrite (= (or $x3675 $x4082) $x4085)) (= $x4086 $x4085)) $x4085)))
+(let ((@x5789 (unit-resolution (unit-resolution @x4095 @x5807 $x4082) @x5806 @x5791 (hypothesis (not $x4079)) false)))
+(let ((@x5623 (unit-resolution (lemma @x5789 (or $x4054 $x4079 $x3675)) (unit-resolution (unit-resolution @x4884 @x4739 $x4057) @x5618 $x4055) @x5807 $x4079)))
+(let ((@x5923 (hypothesis $x4096)))
+(let ((@x5933 ((_ th-lemma arith farkas -1 1 -1 1) (hypothesis $x3904) (hypothesis $x4153) (hypothesis (not $x5310)) @x5923 false)))
+(let ((@x5938 (lemma @x5933 (or $x5310 (not $x3904) (not $x4153) (not $x4096)))))
+(let ((@x5596 (unit-resolution @x5938 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4079) $x4096)) @x5623 $x4096) (hypothesis $x4153) @x5049 $x5310)))
+(let (($x5886 (= (or (not $x3480) (or $x3887 (not $x5310))) (or (not $x3480) $x3887 (not $x5310)))))
+(let ((@x5952 (mp ((_ quant-inst v_b_v_G_1$ b_Source$) (or (not $x3480) (or $x3887 (not $x5310)))) (rewrite $x5886) (or (not $x3480) $x3887 (not $x5310)))))
+(let ((@x5597 (unit-resolution @x5952 @x3485 @x5596 (unit-resolution (lemma @x5283 (or $x5313 $x3683 $x297)) @x5202 @x4739 $x5313) false)))
+(let ((@x6788 (unit-resolution (lemma @x5597 (or $x297 (not $x4153) $x3675 $x3683)) @x6900 @x6588 @x5944 $x297)))
+(let ((@x7810 (unit-resolution (def-axiom (or $x3782 $x773 $x3776)) (unit-resolution (def-axiom (or $x3785 $x3779)) @x7615 $x3779) @x6788 $x3776)))
+(let ((@x3347 (def-axiom (or $x3770 $x1848 $x3764))))
+(let ((@x9293 (unit-resolution @x3347 (unit-resolution (def-axiom (or $x3773 $x3767)) @x7810 $x3767) $x3767)))
+(let ((@x9294 (unit-resolution @x9293 (lemma ((_ th-lemma arith farkas 1 1 -1 1) @x5703 @x7345 @x6959 @x5049 false) $x1847) $x3764)))
+(let ((@x3367 (def-axiom (or $x3761 $x3703))))
+(let (($x4335 (or $x3708 $x4161)))
+(let ((@x4337 ((_ quant-inst v_b_v_G_1$) $x4335)))
+(let (($x4126 (fun_app$ v_b_Visited_G_2$ v_b_v_G_1$)))
+(let (($x3136 (fun_app$ ?x265 v_b_v_G_1$)))
+(let (($x3461 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(!(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2) :pattern ( (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) )))
+))
+(let (($x57 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2))
+))
+(let (($x54 (= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?2) ?1) ?0) ?1) ?0)))
+(let (($x52 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2))
+))
+(let (($x51 (= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?2) ?1) ?0) ?1) ?0)))
+(let ((@x62 (mp (asserted $x52) (quant-intro (rewrite (= $x51 $x54)) (= $x52 $x57)) $x57)))
+(let ((@x3466 (mp (mp~ @x62 (nnf-pos (refl (~ $x54 $x54)) (~ $x57 $x57)) $x57) (quant-intro (refl (= $x54 $x54)) (= $x57 $x3461)) $x3461)))
+(let (($x6140 (or (not $x3461) $x3136)))
+(let ((@x6106 (monotonicity (rewrite (= (= $x3136 true) $x3136)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
+(let ((@x5837 (trans @x6106 (rewrite (= $x6140 $x6140)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
+(let ((@x5928 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true) (or (not $x3461) (= $x3136 true))) @x5837 $x6140)))
+(let ((@x7482 (mp (unit-resolution @x5928 @x3466 $x3136) (monotonicity @x5875 (= $x3136 $x4126)) $x4126)))
+(let (($x4570 (>= ?x4546 0)))
+(let ((@x5420 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x4570 $x4569)) (hypothesis (not $x4569)) $x4570)))
+(let (($x4438 (<= (+ b_Infinity$ ?x4436) 0)))
+(let (($x4127 (not $x4126)))
+(let (($x5352 (or $x3725 $x4127 $x4438 $x4569)))
+(let (($x5336 (>= (+ ?x4435 ?x3104 (* (- 1) ?x1911)) 0)))
+(let (($x5339 (or $x4127 $x4438 $x5336)))
+(let (($x5353 (or $x3725 $x5339)))
+(let ((@x5341 (rewrite (= (+ ?x4435 ?x3104 (* (- 1) ?x1911)) (+ (* (- 1) ?x1911) ?x3104 ?x4435)))))
+(let ((@x5344 (monotonicity @x5341 (= $x5336 (>= (+ (* (- 1) ?x1911) ?x3104 ?x4435) 0)))))
+(let ((@x5348 (trans @x5344 (rewrite (= (>= (+ (* (- 1) ?x1911) ?x3104 ?x4435) 0) $x4569)) (= $x5336 $x4569))))
+(let ((@x5357 (monotonicity (monotonicity @x5348 (= $x5339 (or $x4127 $x4438 $x4569))) (= $x5353 (or $x3725 (or $x4127 $x4438 $x4569))))))
+(let ((@x5361 (trans @x5357 (rewrite (= (or $x3725 (or $x4127 $x4438 $x4569)) $x5352)) (= $x5353 $x5352))))
+(let ((@x5424 (unit-resolution (mp ((_ quant-inst ?v0!20 v_b_v_G_1$) $x5353) @x5361 $x5352) (hypothesis $x3720) (hypothesis $x4126) (hypothesis (not $x4569)) $x4438)))
+(let ((@x5428 (lemma ((_ th-lemma arith farkas 1 1 1 1) @x5424 (hypothesis $x4161) @x5420 (hypothesis $x1915) false) (or $x4569 (not $x4161) $x1914 $x3725 $x4127))))
+(let ((@x7692 (unit-resolution (unit-resolution @x5428 @x7482 (or $x4569 (not $x4161) $x1914 $x3725)) (unit-resolution @x4337 (unit-resolution @x3367 @x9294 $x3703) $x4161) (or $x4569 $x1914 $x3725))))
+(let ((@x7751 (unit-resolution @x7692 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) (unit-resolution @x3222 @x8092 $x3720) $x4569)))
+(let (($x5386 (= v_b_v_G_1$ ?v0!20)))
+(let (($x5390 (not $x5386)))
+(let ((@x9325 (symm (commutativity (= $x5386 (= ?v0!20 v_b_v_G_1$))) (= (= ?v0!20 v_b_v_G_1$) $x5386))))
+(let (($x5240 (= ?v0!20 v_b_v_G_1$)))
+(let (($x9145 (not $x5240)))
+(let (($x4609 (fun_app$ v_b_Visited_G_1$ ?v0!20)))
+(let (($x9130 (or $x5240 $x4609)))
+(let (($x5237 (fun_app$ ?x265 ?v0!20)))
+(let (($x9133 (= $x5237 $x9130)))
+(let (($x9136 (or $x4114 $x9133)))
+(let ((@x9135 (monotonicity (rewrite (= (ite $x5240 true $x4609) $x9130)) (= (= $x5237 (ite $x5240 true $x4609)) $x9133))))
+(let ((@x9140 (monotonicity @x9135 (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
+(let ((@x9143 (trans @x9140 (rewrite (= $x9136 $x9136)) (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
+(let ((@x9144 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!20) (or $x4114 (= $x5237 (ite $x5240 true $x4609)))) @x9143 $x9136)))
+(let ((@x9316 (symm (monotonicity @x5875 (= $x5237 (fun_app$ v_b_Visited_G_2$ ?v0!20))) (= (fun_app$ v_b_Visited_G_2$ ?v0!20) $x5237))))
+(let ((@x9318 (monotonicity @x9316 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!20)) (not $x5237)))))
+(let (($x4278 (fun_app$ v_b_Visited_G_2$ ?v0!20)))
+(let (($x4279 (not $x4278)))
+(let (($x4403 (or $x4279 $x4400)))
+(let ((@x8012 (mp ((_ quant-inst ?v0!20) (or $x3700 $x4403)) (rewrite (= (or $x3700 $x4403) (or $x3700 $x4279 $x4400))) (or $x3700 $x4279 $x4400))))
+(let ((@x9292 (unit-resolution (unit-resolution @x8012 @x7616 $x4403) (hypothesis (not $x4400)) $x4279)))
+(let ((@x9320 (unit-resolution (def-axiom (or (not $x9133) $x5237 (not $x9130))) (mp @x9292 @x9318 (not $x5237)) (unit-resolution @x9144 @x3473 $x9133) (not $x9130))))
+(let ((@x9328 (mp (unit-resolution (def-axiom (or $x9130 $x9145)) @x9320 $x9145) (monotonicity @x9325 (= $x9145 $x5390)) $x5390)))
+(let (($x5387 (<= ?x4435 0)))
+(let (($x5391 (= ?x4435 0)))
+(let ((?x3106 (+ ?x257 ?x3096 ?x3105)))
+(let (($x4239 (<= ?x3106 0)))
+(let ((?x3884 (+ ?x257 ?x3105)))
+(let (($x3885 (<= ?x3884 0)))
+(let (($x6004 (= ?x257 ?x3104)))
+(let ((@x7828 (mp (unit-resolution @x4259 @x5944 (unit-resolution @x4316 @x6019 $x4242) $x3052) (symm (commutativity (= $x6004 $x3052)) (= $x3052 $x6004)) $x6004)))
+(let (($x4177 (<= ?x3096 0)))
+(let ((@x6933 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4785) $x4177)) @x4849 $x4177)))
+(let ((@x7838 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x4239 (not $x3885) (not $x4177))) @x6933 (or $x4239 (not $x3885)))))
+(let ((@x7839 (unit-resolution @x7838 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6004) $x3885)) @x7828 $x3885) $x4239)))
+(let (($x3044 (>= ?x3106 0)))
+(let (($x3886 (>= ?x3884 0)))
+(let (($x5927 (or $x3691 $x3886)))
+(let ((@x5941 ((_ quant-inst v_b_v_G_1$) $x5927)))
+(let ((@x6925 (unit-resolution @x5941 @x6892 $x3886)))
+(let ((@x6929 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1) (or $x3044 $x4315 (not $x3886))) @x6019 (or $x3044 (not $x3886)))))
+(let ((@x6930 (unit-resolution @x6929 @x6925 $x3044)))
+(let ((?x4381 (+ ?x1911 ?x3105)))
+(let (($x7049 (<= ?x4381 0)))
+(let (($x7135 (= ?x4546 0)))
+(let ((?x1912 (* (- 1) ?x1911)))
+(let ((?x4487 (+ ?x257 ?x1912 ?x4435)))
+(let (($x4507 (<= ?x4487 0)))
+(let (($x5673 (= ?x4487 0)))
+(let (($x6827 (>= (+ ?x257 ?x4418 ?x4435) 0)))
+(let (($x6723 (or $x4438 $x6827)))
+(let (($x6684 (not $x6723)))
+(let (($x6831 (or $x6684 $x4400)))
+(let (($x6789 (or $x3683 $x6684 $x4400)))
+(let (($x4443 (or (not (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0))) $x4400)))
+(let (($x6790 (or $x3683 $x4443)))
+(let ((@x6945 (monotonicity (rewrite (= (+ ?x4393 ?x1173 ?x4436) (+ ?x1173 ?x4393 ?x4436))) (= (<= (+ ?x4393 ?x1173 ?x4436) 0) (<= (+ ?x1173 ?x4393 ?x4436) 0)))))
+(let ((@x6725 (trans @x6945 (rewrite (= (<= (+ ?x1173 ?x4393 ?x4436) 0) $x6827)) (= (<= (+ ?x4393 ?x1173 ?x4436) 0) $x6827))))
+(let ((@x6730 (monotonicity @x6725 (= (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0)) $x6723))))
+(let ((@x6830 (monotonicity @x6730 (= (not (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0))) $x6684))))
+(let ((@x6829 (monotonicity (monotonicity @x6830 (= $x4443 $x6831)) (= $x6790 (or $x3683 $x6831)))))
+(let ((@x6824 (mp ((_ quant-inst ?v0!20) $x6790) (trans @x6829 (rewrite (= (or $x3683 $x6831) $x6789)) (= $x6790 $x6789)) $x6789)))
+(let ((@x9281 (unit-resolution (unit-resolution @x6824 @x5944 $x6831) (hypothesis (not $x4400)) $x6684)))
+(let ((@x7436 (unit-resolution (def-axiom (or $x6723 (not $x4438))) (hypothesis $x6684) (not $x4438))))
+(let ((@x7494 (unit-resolution (def-axiom (or $x6723 (not $x6827))) (hypothesis $x6684) (not $x6827))))
+(let (($x6621 (or $x4438 $x6827 $x5673)))
+(let (($x6987 (or $x3675 $x4438 $x6827 $x5673)))
+(let (($x4440 (<= (+ ?x4393 ?x1173 ?x4436) 0)))
+(let (($x4486 (or $x4438 $x4440 (= (+ ?x257 ?x4435 ?x1912) 0))))
+(let (($x6624 (or $x3675 $x4486)))
+(let ((@x5324 (monotonicity (rewrite (= (+ ?x257 ?x4435 ?x1912) ?x4487)) (= (= (+ ?x257 ?x4435 ?x1912) 0) $x5673))))
+(let ((@x6996 (monotonicity (monotonicity @x6725 @x5324 (= $x4486 $x6621)) (= $x6624 (or $x3675 $x6621)))))
+(let ((@x7057 (mp ((_ quant-inst ?v0!20) $x6624) (trans @x6996 (rewrite (= (or $x3675 $x6621) $x6987)) (= $x6624 $x6987)) $x6987)))
+(let ((@x7649 (unit-resolution (unit-resolution @x7057 @x6588 $x6621) @x7494 @x7436 (hypothesis (not $x5673)) false)))
+(let ((@x7699 (lemma @x7649 (or $x6723 $x5673))))
+(let ((@x9285 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5673) $x4507)) (unit-resolution @x7699 @x9281 $x5673) $x4507)))
+(let ((@x9287 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x4507) $x4570 (not $x3886))) @x6925 (or (not $x4507) $x4570))))
+(let ((@x7251 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7135 (not $x4569) (not $x4570))) (hypothesis $x4569) (or $x7135 (not $x4570)))))
+(let (($x7151 (not $x7135)))
+(let (($x7157 (or $x3734 $x7049 $x4127 $x7151)))
+(let (($x4516 (>= (+ ?x3104 ?x1912) 0)))
+(let (($x4528 (or $x4516 $x4127 (not (= (+ ?x3104 ?x1912 ?x4435) 0)))))
+(let (($x7317 (or $x3734 $x4528)))
+(let ((@x7137 (monotonicity (rewrite (= (+ ?x3104 ?x1912 ?x4435) (+ ?x1912 ?x3104 ?x4435))) (= (= (+ ?x3104 ?x1912 ?x4435) 0) (= (+ ?x1912 ?x3104 ?x4435) 0)))))
+(let ((@x7149 (trans @x7137 (rewrite (= (= (+ ?x1912 ?x3104 ?x4435) 0) $x7135)) (= (= (+ ?x3104 ?x1912 ?x4435) 0) $x7135))))
+(let ((@x7063 (monotonicity (rewrite (= (+ ?x3104 ?x1912) (+ ?x1912 ?x3104))) (= $x4516 (>= (+ ?x1912 ?x3104) 0)))))
+(let ((@x7144 (trans @x7063 (rewrite (= (>= (+ ?x1912 ?x3104) 0) $x7049)) (= $x4516 $x7049))))
+(let ((@x7156 (monotonicity @x7144 (monotonicity @x7149 (= (not (= (+ ?x3104 ?x1912 ?x4435) 0)) $x7151)) (= $x4528 (or $x7049 $x4127 $x7151)))))
+(let ((@x7313 (trans (monotonicity @x7156 (= $x7317 (or $x3734 (or $x7049 $x4127 $x7151)))) (rewrite (= (or $x3734 (or $x7049 $x4127 $x7151)) $x7157)) (= $x7317 $x7157))))
+(let ((@x7502 (unit-resolution (mp ((_ quant-inst v_b_v_G_1$) $x7317) @x7313 $x7157) (hypothesis $x3729) @x7482 (or $x7049 $x7151))))
+(let ((@x9290 (unit-resolution @x7502 (unit-resolution @x7251 (unit-resolution @x9287 @x9285 $x4570) $x7135) $x7049)))
+(let (($x4382 (>= ?x4381 0)))
+(let (($x6813 (= ?v1!16 v_b_v_G_1$)))
+(let (($x7202 (= v_b_v_G_1$ ?v1!16)))
+(let ((?x6481 (pair$ v_b_v_G_1$ ?v1!16)))
+(let ((?x6374 (b_G$ ?x6481)))
+(let (($x7203 (<= ?x6374 0)))
+(let ((?x1866 (v_b_SP_G_2$ ?v0!17)))
+(let ((?x6890 (+ ?x1866 ?x3105)))
+(let (($x6886 (<= ?x6890 0)))
+(let ((?x4496 (fun_app$c v_b_SP_G_1$ ?v0!17)))
+(let ((?x6307 (* (- 1) ?x4496)))
+(let ((?x5972 (+ ?x257 ?x6307)))
+(let (($x7220 (>= ?x5972 0)))
+(let (($x3187 (fun_app$ v_b_Visited_G_1$ ?v0!17)))
+(let (($x4478 (= ?v0!17 v_b_v_G_1$)))
+(let (($x4499 (or $x4478 $x3187)))
+(let (($x4471 (fun_app$ ?x265 ?v0!17)))
+(let (($x4593 (= $x4471 $x4499)))
+(let (($x4712 (or $x4114 $x4593)))
+(let ((@x4495 (monotonicity (rewrite (= (ite $x4478 true $x3187) $x4499)) (= (= $x4471 (ite $x4478 true $x3187)) $x4593))))
+(let ((@x5371 (monotonicity @x4495 (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
+(let ((@x5958 (trans @x5371 (rewrite (= $x4712 $x4712)) (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
+(let ((@x6125 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!17) (or $x4114 (= $x4471 (ite $x4478 true $x3187)))) @x5958 $x4712)))
+(let ((@x8166 (mp (unit-resolution (def-axiom (or $x2760 $x1862)) (hypothesis $x2765) $x1862) (symm (monotonicity @x5875 (= $x4471 $x1862)) (= $x1862 $x4471)) $x4471)))
+(let ((@x8237 (unit-resolution (def-axiom (or (not $x4593) (not $x4471) $x4499)) @x8166 (unit-resolution @x6125 @x3473 $x4593) $x4499)))
+(let (($x6485 (not $x4478)))
+(let (($x8046 (<= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16))) 0)))
+(let (($x6814 (fun_app$ v_b_Visited_G_1$ ?v1!16)))
+(let (($x8334 (or $x6813 $x6814)))
+(let (($x6812 (fun_app$ ?x265 ?v1!16)))
+(let (($x7683 (= $x6812 $x8334)))
+(let (($x6622 (or $x4114 $x7683)))
+(let ((@x6719 (monotonicity (rewrite (= (ite $x6813 true $x6814) $x8334)) (= (= $x6812 (ite $x6813 true $x6814)) $x7683))))
+(let ((@x8777 (monotonicity @x6719 (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
+(let ((@x8650 (trans @x8777 (rewrite (= $x6622 $x6622)) (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
+(let ((@x8651 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!16) (or $x4114 (= $x6812 (ite $x6813 true $x6814)))) @x8650 $x6622)))
+(let ((@x8121 (monotonicity (symm (monotonicity @x5875 (= $x6812 $x1860)) (= $x1860 $x6812)) (= (not $x1860) (not $x6812)))))
+(let (($x1861 (not $x1860)))
+(let ((@x7803 (hypothesis $x2765)))
+(let ((@x8141 (mp (unit-resolution (def-axiom (or $x2760 $x1861)) @x7803 $x1861) @x8121 (not $x6812))))
+(let ((@x8147 (unit-resolution (def-axiom (or (not $x7683) $x6812 (not $x8334))) @x8141 (unit-resolution @x8651 @x3473 $x7683) (not $x8334))))
+(let (($x8156 (or $x6814 $x8046)))
+(let (($x8160 (or $x3665 $x6814 $x8046)))
+(let (($x6666 (>= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) 0)))
+(let (($x6673 (or $x6814 $x6666)))
+(let (($x8163 (or $x3665 $x6673)))
+(let ((@x7990 (rewrite (= (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0) $x8046))))
+(let (($x8213 (= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)))))
+(let ((@x8047 (monotonicity (rewrite $x8213) (= $x6666 (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0)))))
+(let ((@x8089 (monotonicity (monotonicity (trans @x8047 @x7990 (= $x6666 $x8046)) (= $x6673 $x8156)) (= $x8163 (or $x3665 $x8156)))))
+(let ((@x8093 (mp ((_ quant-inst ?v1!16) $x8163) (trans @x8089 (rewrite (= (or $x3665 $x8156) $x8160)) (= $x8163 $x8160)) $x8160)))
+(let ((@x8217 (unit-resolution @x8093 (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) $x8156)))
+(let ((@x8239 (unit-resolution @x8217 (unit-resolution (def-axiom (or $x8334 (not $x6814))) @x8147 (not $x6814)) $x8046)))
+(let (($x3386 (not $x1869)))
+(let ((@x3390 (def-axiom (or $x2760 $x3386))))
+(let ((@x8240 (unit-resolution @x3390 @x7803 $x3386)))
+(let ((?x6009 (pair$ v_b_v_G_1$ ?v0!17)))
+(let ((?x6010 (b_G$ ?x6009)))
+(let ((?x1867 (* (- 1) ?x1866)))
+(let ((?x6187 (+ ?x257 ?x1867 ?x6010)))
+(let ((@x8743 (monotonicity (monotonicity (hypothesis $x4478) (= ?x6009 ?x3130)) (= ?x6010 ?x3096))))
+(let (($x6889 (= ?x1866 ?x3104)))
+(let ((@x6922 (hypothesis $x4478)))
+(let ((@x6921 (unit-resolution (hypothesis (not $x6889)) (monotonicity @x6922 $x6889) false)))
+(let ((@x6939 (lemma @x6921 (or $x6485 $x6889))))
+(let ((@x6214 ((_ th-lemma arith triangle-eq) (or (not $x6889) $x6886))))
+(let (($x7675 (>= ?x6890 0)))
+(let ((@x8362 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6889) $x7675)) (unit-resolution @x6939 @x6922 $x6889) $x7675)))
+(let ((@x7970 ((_ th-lemma arith eq-propagate 1 1 1 1 -1 -1) @x8362 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6019 @x6933 @x6930 @x7839 (= ?x6010 ?x6187))))
+(let ((@x8765 (trans (trans (symm @x7970 (= ?x6187 ?x6010)) @x8743 (= ?x6187 ?x3096)) @x4849 (= ?x6187 0))))
+(let (($x6564 (>= ?x6187 0)))
+(let (($x7274 (not $x6564)))
+(let ((@x7271 (hypothesis $x3386)))
+(let ((?x1865 (v_b_SP_G_2$ ?v1!16)))
+(let ((?x6126 (* (- 1) ?x1865)))
+(let ((?x6400 (+ ?x257 ?x6126 ?x6374)))
+(let (($x6319 (<= ?x6400 0)))
+(let (($x8008 (= ?x6400 0)))
+(let (($x6238 (<= (+ b_Infinity$ (* (- 1) ?x6374)) 0)))
+(let (($x8646 (not $x6238)))
+(let (($x7241 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16)) ?x6374) 0)))
+(let (($x7239 (or $x6238 $x7241)))
+(let (($x4416 (not $x7239)))
+(let ((?x6234 (fun_app$c v_b_SP_G_1$ ?v1!16)))
+(let (($x6378 (= ?x1865 ?x6234)))
+(let (($x8565 (not $x6378)))
+(let (($x8664 (>= (+ ?x1865 (* (- 1) ?x6234)) 0)))
+(let (($x8549 (not $x8664)))
+(let ((@x8517 ((_ th-lemma arith assign-bounds -1 -1 -1 -1 1) (or $x8549 (not $x8046) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
+(let ((@x8321 (unit-resolution @x8517 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6933 @x6930 @x7271 (hypothesis $x8046) $x8549)))
+(let (($x8358 (or $x4416 $x6378)))
+(let (($x8640 (or $x3683 $x4416 $x6378)))
+(let (($x6219 (or (not (or $x6238 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0))) $x6378)))
+(let (($x8252 (or $x3683 $x6219)))
+(let (($x6539 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0)))
+(let ((@x7664 (rewrite (= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) (+ ?x1173 ?x6234 (* (- 1) ?x6374))))))
+(let ((@x7697 (monotonicity @x7664 (= $x6539 (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0)))))
+(let ((@x4371 (trans @x7697 (rewrite (= (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0) $x7241)) (= $x6539 $x7241))))
+(let ((@x8352 (monotonicity (monotonicity @x4371 (= (or $x6238 $x6539) $x7239)) (= (not (or $x6238 $x6539)) $x4416))))
+(let ((@x8173 (monotonicity (monotonicity @x8352 (= $x6219 $x8358)) (= $x8252 (or $x3683 $x8358)))))
+(let ((@x8649 (mp ((_ quant-inst ?v1!16) $x8252) (trans @x8173 (rewrite (= (or $x3683 $x8358) $x8640)) (= $x8252 $x8640)) $x8640)))
+(let ((@x8632 (unit-resolution (unit-resolution @x8649 @x5944 $x8358) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) @x8321 $x8565) $x4416)))
+(let (($x8029 (or $x6238 $x7241 $x8008)))
+(let (($x8118 (or $x3675 $x6238 $x7241 $x8008)))
+(let (($x6399 (or $x6238 $x6539 (= (+ ?x257 ?x6374 ?x6126) 0))))
+(let (($x8113 (or $x3675 $x6399)))
+(let ((@x8010 (monotonicity (rewrite (= (+ ?x257 ?x6374 ?x6126) ?x6400)) (= (= (+ ?x257 ?x6374 ?x6126) 0) $x8008))))
+(let ((@x5909 (monotonicity (monotonicity @x4371 @x8010 (= $x6399 $x8029)) (= $x8113 (or $x3675 $x8029)))))
+(let ((@x7712 (mp ((_ quant-inst ?v1!16) $x8113) (trans @x5909 (rewrite (= (or $x3675 $x8029) $x8118)) (= $x8113 $x8118)) $x8118)))
+(let ((@x8635 (unit-resolution (unit-resolution @x7712 @x6588 $x8029) (unit-resolution (def-axiom (or $x7239 (not $x7241))) @x8632 (not $x7241)) (unit-resolution (def-axiom (or $x7239 $x8646)) @x8632 $x8646) $x8008)))
+(let ((@x7288 (monotonicity (commutativity (= (= v_b_v_G_1$ ?v0!17) $x4478)) (= (not (= v_b_v_G_1$ ?v0!17)) $x6485))))
+(let (($x7176 (= v_b_v_G_1$ ?v0!17)))
+(let (($x7180 (not $x7176)))
+(let (($x7177 (<= ?x6010 0)))
+(let (($x7178 (not $x7177)))
+(let (($x7206 (not $x7203)))
+(let ((@x7267 (monotonicity (symm (commutativity (= $x7202 $x6813)) (= $x6813 $x7202)) (= (not $x6813) (not $x7202)))))
+(let (($x7207 (or $x7202 $x7206)))
+(let ((@x7215 (mp ((_ quant-inst v_b_v_G_1$ ?v1!16) (or (not $x3480) $x7207)) (rewrite (= (or (not $x3480) $x7207) (or (not $x3480) $x7202 $x7206))) (or (not $x3480) $x7202 $x7206))))
+(let ((@x7270 (unit-resolution (unit-resolution @x7215 @x3485 $x7207) (mp (hypothesis (not $x6813)) @x7267 (not $x7202)) $x7206)))
+(let ((@x7278 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x7178 $x7274 $x1869 $x7203 (not $x6319))) (hypothesis $x6319) (hypothesis $x6564) @x7271 @x7270 $x7178)))
+(let ((@x7282 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6010 0)) $x7177)) @x7278 (not (= ?x6010 0)))))
+(let (($x7181 (= ?x6010 0)))
+(let (($x7188 (or $x7180 $x7181)))
+(let ((@x7196 (mp ((_ quant-inst v_b_v_G_1$ ?v0!17) (or $x3151 $x7188)) (rewrite (= (or $x3151 $x7188) (or $x3151 $x7180 $x7181))) (or $x3151 $x7180 $x7181))))
+(let ((@x7289 (mp (unit-resolution (unit-resolution @x7196 @x3479 $x7188) @x7282 $x7180) @x7288 $x6485)))
+(let ((@x5812 (def-axiom (or (not $x4499) $x4478 $x3187))))
+(let (($x7229 (= (or $x3570 (or $x255 (not $x3187) $x7220)) (or $x3570 $x255 (not $x3187) $x7220))))
+(let ((@x7231 (mp ((_ quant-inst ?v0!17 v_b_v_G_1$) (or $x3570 (or $x255 (not $x3187) $x7220))) (rewrite $x7229) (or $x3570 $x255 (not $x3187) $x7220))))
+(let ((@x7291 (unit-resolution @x7231 @x5748 @x6225 (unit-resolution @x5812 @x7289 (hypothesis $x4499) $x3187) $x7220)))
+(let (($x6327 (<= (+ ?x1866 ?x6307) 0)))
+(let (($x6088 (or $x3691 $x6327)))
+(let ((@x6464 (monotonicity (rewrite (= (+ ?x4496 ?x1867) (+ ?x1867 ?x4496))) (= (>= (+ ?x4496 ?x1867) 0) (>= (+ ?x1867 ?x4496) 0)))))
+(let ((@x5905 (trans @x6464 (rewrite (= (>= (+ ?x1867 ?x4496) 0) $x6327)) (= (>= (+ ?x4496 ?x1867) 0) $x6327))))
+(let ((@x5843 (trans (monotonicity @x5905 (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088)) (rewrite (= $x6088 $x6088)) (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088))))
+(let ((@x7292 (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3691 (>= (+ ?x4496 ?x1867) 0))) @x5843 $x6088) @x6892 $x6327)))
+(let ((@x7295 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x7292 @x7271 @x7270 (hypothesis $x6319) @x7291 false) (or (not $x6319) $x1869 (not $x4499) $x7274 $x6813))))
+(let ((@x8734 (unit-resolution @x7295 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) @x8635 $x6319) (hypothesis $x4499) (hypothesis (not $x6813)) @x7271 $x7274)))
+(let ((@x8324 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6187 0)) $x6564)) @x8734 (not (= ?x6187 0)))))
+(let ((@x8494 (lemma (unit-resolution @x8324 @x8765 false) (or $x6485 (not $x4499) $x6813 $x1869 (not $x8046)))))
+(let ((@x8211 (unit-resolution @x8494 @x8237 (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) @x8240 @x8239 $x6485)))
+(let ((@x8909 (unit-resolution @x7231 @x5748 @x6225 (hypothesis $x3187) (hypothesis (not $x7220)) false)))
+(let ((@x8256 (unit-resolution (lemma @x8909 (or (not $x3187) $x7220)) (unit-resolution @x5812 @x8211 @x8237 $x3187) $x7220)))
+(let ((@x8314 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1) (or $x6886 (not $x7220) (not $x6327) $x4315 (not $x4239))) @x7292 @x7839 @x8256 @x6019 $x6886)))
+(let ((@x8385 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) (unit-resolution @x8517 @x8314 @x6933 @x6930 @x8240 @x8239 $x8549) $x8565)))
+(let ((@x8386 (unit-resolution (def-axiom (or $x7239 $x8646)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8646)))
+(let (($x8654 (not $x7241)))
+(let ((@x8390 (unit-resolution (def-axiom (or $x7239 $x8654)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8654)))
+(let ((@x8410 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) (unit-resolution (unit-resolution @x7712 @x6588 $x8029) @x8390 @x8386 $x8008) $x6319)))
+(let ((@x8411 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x7203 (not $x6319) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
+(let ((@x8413 (unit-resolution @x7215 @x3485 (unit-resolution @x8411 @x8410 @x6933 @x6930 @x8240 @x8314 $x7203) $x7202)))
+(let ((@x8417 (unit-resolution (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) (symm @x8413 $x6813) false)))
+(let ((@x3365 (def-axiom (or $x3758 $x2765 $x3752))))
+(let ((@x9296 (unit-resolution @x3365 (lemma @x8417 $x2760) (unit-resolution (def-axiom (or $x3761 $x3755)) @x9294 $x3755) $x3752)))
+(let ((@x8225 (rewrite (= (or $x3717 (or $x4278 $x4127 $x4382)) (or $x3717 $x4278 $x4127 $x4382)))))
+(let ((@x8229 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or $x3717 (or $x4278 $x4127 $x4382))) @x8225 (or $x3717 $x4278 $x4127 $x4382))))
+(let ((@x9299 (unit-resolution @x8229 (unit-resolution (def-axiom (or $x3749 $x3712)) @x9296 $x3712) @x7482 (or $x4278 $x4382))))
+(let (($x4508 (>= ?x4487 0)))
+(let ((@x9304 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or $x4508 (not $x4569) (not $x3886))) @x6925 (or $x4508 (not $x4569)))))
+(let ((@x9306 ((_ th-lemma arith eq-propagate -1 -1 -1 -1 -1 -1 1 1) (unit-resolution @x9304 (hypothesis $x4569) $x4508) @x9285 (unit-resolution @x9299 @x9292 $x4382) @x9290 @x6019 @x6933 @x6930 @x7839 $x5391)))
+(let (($x5388 (not $x5387)))
+(let (($x5389 (or $x5386 $x5388)))
+(let ((@x7598 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or (not $x3480) $x5389)) (rewrite (= (or (not $x3480) $x5389) (or (not $x3480) $x5386 $x5388))) (or (not $x3480) $x5386 $x5388))))
+(let ((@x9311 (unit-resolution (unit-resolution @x7598 @x3485 $x5389) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5391) $x5387)) @x9306 $x5387) $x5386)))
+(let ((@x8045 (unit-resolution (lemma (unit-resolution @x9311 @x9328 false) (or $x4400 $x3734 (not $x4569))) (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x7751 $x4400)))
+(let ((@x8812 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4400) $x5977)) @x8045 $x5977)))
+(let ((?x4641 (?v1!7 ?v0!20)))
+(let ((?x4648 (pair$ ?x4641 ?v0!20)))
+(let ((?x4649 (b_G$ ?x4648)))
+(let ((?x4650 (* (- 1) ?x4649)))
+(let ((?x4642 (fun_app$c v_b_SP_G_1$ ?x4641)))
+(let ((?x4643 (* (- 1) ?x4642)))
+(let ((?x4651 (+ ?x4393 ?x4643 ?x4650)))
+(let (($x4391 (>= ?x4651 0)))
+(let (($x4652 (= ?x4651 0)))
+(let (($x4653 (not $x4652)))
+(let (($x4646 (fun_app$ v_b_Visited_G_1$ ?x4641)))
+(let (($x4647 (not $x4646)))
+(let ((?x4644 (+ ?x4393 ?x4643)))
+(let (($x4645 (<= ?x4644 0)))
+(let (($x4654 (or $x4645 $x4647 $x4653)))
+(let (($x4655 (not $x4654)))
+(let (($x4640 (<= (+ b_Infinity$ ?x4418) 0)))
+(let (($x7886 (not $x4640)))
+(let ((@x8816 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x5977) $x1914 $x7886)) @x8812 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) $x7886)))
+(let ((@x7414 (rewrite (= (or $x3586 (or $x1909 $x4640 $x4655)) (or $x3586 $x1909 $x4640 $x4655)))))
+(let ((@x7415 (mp ((_ quant-inst ?v0!20) (or $x3586 (or $x1909 $x4640 $x4655))) @x7414 (or $x3586 $x1909 $x4640 $x4655))))
+(let ((@x8817 (unit-resolution @x7415 @x4545 (unit-resolution (def-axiom (or $x3737 $x1910)) @x8092 $x1910) (or $x4640 $x4655))))
+(let ((@x8826 (unit-resolution @x8817 @x8816 $x4655)))
+(let ((@x6085 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x4391)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x4391)))
+(let (($x7707 (<= ?x4651 0)))
+(let ((@x8177 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x7707)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x7707)))
+(let (($x4689 (fun_app$ v_b_Visited_G_2$ ?x4641)))
+(let ((@x6032 (monotonicity (symm (hypothesis $x266) (= ?x265 v_b_Visited_G_2$)) (= (fun_app$ ?x265 ?x4641) $x4689))))
+(let ((@x6036 (monotonicity (symm @x6032 (= $x4689 (fun_app$ ?x265 ?x4641))) (= (not $x4689) (not (fun_app$ ?x265 ?x4641))))))
+(let (($x5978 (fun_app$ ?x265 ?x4641)))
+(let (($x5985 (= ?x4641 v_b_v_G_1$)))
+(let (($x5988 (or $x5985 $x4646)))
+(let (($x5991 (= $x5978 $x5988)))
+(let (($x5994 (or $x4114 $x5991)))
+(let ((@x5993 (monotonicity (rewrite (= (ite $x5985 true $x4646) $x5988)) (= (= $x5978 (ite $x5985 true $x4646)) $x5991))))
+(let ((@x5998 (monotonicity @x5993 (= (or $x4114 (= $x5978 (ite $x5985 true $x4646))) $x5994))))
+(let ((@x6001 (trans @x5998 (rewrite (= $x5994 $x5994)) (= (or $x4114 (= $x5978 (ite $x5985 true $x4646))) $x5994))))
+(let ((@x6002 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true (?v1!7 ?v0!20)) (or $x4114 (= $x5978 (ite $x5985 true $x4646)))) @x6001 $x5994)))
+(let ((@x6025 (unit-resolution (def-axiom (or (not $x5991) $x5978 (not $x5988))) (unit-resolution (def-axiom (or $x5988 $x4647)) (hypothesis $x4646) $x5988) (or (not $x5991) $x5978))))
+(let ((@x6038 (unit-resolution (unit-resolution @x6025 (unit-resolution @x6002 @x3473 $x5991) $x5978) (mp (hypothesis (not $x4689)) @x6036 (not $x5978)) false)))
+(let ((@x8986 (unit-resolution (lemma @x6038 (or $x4689 $x2935 $x4647)) (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (or $x4689 $x4647))))
+(let ((@x8987 (unit-resolution @x8986 (unit-resolution (def-axiom (or $x4654 $x4646)) @x8826 $x4646) $x4689)))
+(let ((?x4697 (v_b_SP_G_2$ ?x4641)))
+(let ((?x4700 (* (- 1) ?x4697)))
+(let ((?x4868 (+ ?x1911 ?x4700)))
+(let (($x9248 (<= ?x4868 0)))
+(let (($x8507 (not $x9248)))
+(let ((?x4701 (+ ?x4642 ?x4700)))
+(let (($x4708 (>= ?x4701 0)))
+(let ((@x8348 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8507 (not $x4708) $x4645 (not $x5977))) @x8812 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (unit-resolution (def-axiom (or $x4654 (not $x4645))) @x8826 (not $x4645)) $x8507)))
+(let ((?x8311 (+ ?x1911 ?x4650 ?x4700)))
+(let (($x8266 (>= ?x8311 0)))
+(let ((@x10143 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8266 (not $x4391) (not $x4708) (not $x5977))) (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (hypothesis $x4391) (hypothesis $x5977) $x8266)))
+(let (($x8534 (<= ?x8311 0)))
+(let (($x5038 (<= ?x4701 0)))
+(let (($x5863 (= ?x4642 ?x4697)))
+(let ((@x10149 (symm (commutativity (= $x5863 (= ?x4697 ?x4642))) (= (= ?x4697 ?x4642) $x5863))))
+(let (($x4698 (= ?x4697 ?x4642)))
+(let ((@x7939 (rewrite (= (or $x3700 (or (not $x4689) $x4698)) (or $x3700 (not $x4689) $x4698)))))
+(let ((@x7943 (mp ((_ quant-inst (?v1!7 ?v0!20)) (or $x3700 (or (not $x4689) $x4698))) @x7939 (or $x3700 (not $x4689) $x4698))))
+(let ((@x7980 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5863) $x5038)) (mp (unit-resolution @x7943 @x7616 (hypothesis $x4689) $x4698) @x10149 $x5863) $x5038)))
+(let (($x8014 (<= ?x4419 0)))
+(let (($x8221 (or $x3691 $x8014)))
+(let ((@x8001 (monotonicity (rewrite (= (+ ?x4393 ?x1912) (+ ?x1912 ?x4393))) (= (>= (+ ?x4393 ?x1912) 0) (>= (+ ?x1912 ?x4393) 0)))))
+(let ((@x8035 (trans @x8001 (rewrite (= (>= (+ ?x1912 ?x4393) 0) $x8014)) (= (>= (+ ?x4393 ?x1912) 0) $x8014))))
+(let ((@x8178 (trans (monotonicity @x8035 (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221)) (rewrite (= $x8221 $x8221)) (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221))))
+(let ((@x8659 (unit-resolution (mp ((_ quant-inst ?v0!20) (or $x3691 (>= (+ ?x4393 ?x1912) 0))) @x8178 $x8221) @x6892 $x8014)))
+(let ((@x8083 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8534 (not $x7707) (not $x5038) (not $x8014))) @x8659 (hypothesis $x7707) @x7980 $x8534)))
+(let (($x9251 (= ?x8311 0)))
+(let (($x8749 (not $x9251)))
+(let (($x4690 (not $x4689)))
+(let (($x8567 (or $x3734 $x9248 $x4690 $x8749)))
+(let (($x4857 (>= (+ ?x4697 ?x1912) 0)))
+(let (($x4861 (or $x4857 $x4690 (not (= (+ ?x4697 ?x1912 ?x4649) 0)))))
+(let (($x8927 (or $x3734 $x4861)))
+(let ((@x8955 (monotonicity (rewrite (= (+ ?x4697 ?x1912 ?x4649) (+ ?x1912 ?x4649 ?x4697))) (= (= (+ ?x4697 ?x1912 ?x4649) 0) (= (+ ?x1912 ?x4649 ?x4697) 0)))))
+(let ((@x8627 (trans @x8955 (rewrite (= (= (+ ?x1912 ?x4649 ?x4697) 0) $x9251)) (= (= (+ ?x4697 ?x1912 ?x4649) 0) $x9251))))
+(let ((@x8965 (monotonicity (rewrite (= (+ ?x4697 ?x1912) (+ ?x1912 ?x4697))) (= $x4857 (>= (+ ?x1912 ?x4697) 0)))))
+(let ((@x8985 (trans @x8965 (rewrite (= (>= (+ ?x1912 ?x4697) 0) $x9248)) (= $x4857 $x9248))))
+(let ((@x9087 (monotonicity @x8985 (monotonicity @x8627 (= (not (= (+ ?x4697 ?x1912 ?x4649) 0)) $x8749)) (= $x4861 (or $x9248 $x4690 $x8749)))))
+(let ((@x8874 (trans (monotonicity @x9087 (= $x8927 (or $x3734 (or $x9248 $x4690 $x8749)))) (rewrite (= (or $x3734 (or $x9248 $x4690 $x8749)) $x8567)) (= $x8927 $x8567))))
+(let ((@x8397 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!20)) $x8927) @x8874 $x8567) (hypothesis $x3729) (hypothesis $x4689) (or $x9248 $x8749))))
+(let ((@x5592 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x9251 (not $x8534) (not $x8266))) (unit-resolution @x8397 (hypothesis $x8507) $x8749) @x8083 @x10143 false)))
+(let ((@x8013 (unit-resolution (lemma @x5592 (or $x9248 $x3734 $x4690 (not $x7707) (not $x4391) (not $x5977))) @x8348 (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x8987 @x8177 @x6085 @x8812 false)))
+(let ((@x3278 (def-axiom (or $x3746 $x2811 $x3740))))
+(let ((@x8433 (unit-resolution @x3278 (unit-resolution (def-axiom (or $x3749 $x3743)) @x9296 $x3743) $x3743)))
+(let (($x3378 (not $x1896)))
+(let ((@x3380 (def-axiom (or $x2806 $x3378))))
+(let ((@x8434 (unit-resolution @x3380 (unit-resolution @x8433 (lemma @x8013 $x3737) $x2811) $x3378)))
+(let ((?x6619 (fun_app$c v_b_SP_G_1$ ?v1!18)))
+(let (($x6615 (= ?x1892 ?x6619)))
+(let (($x7618 (not $x6615)))
+(let ((@x7591 (hypothesis $x2811)))
+(let ((@x7607 (unit-resolution (def-axiom (or $x2806 $x1883)) @x7591 $x1883)))
+(let ((@x7571 (hypothesis $x3378)))
+(let (($x1889 (not $x1888)))
+(let ((@x7592 (unit-resolution (def-axiom (or $x2806 $x1889)) @x7591 $x1889)))
+(let ((?x7110 (pair$ v_b_v_G_1$ ?v0!19)))
+(let ((?x7111 (b_G$ ?x7110)))
+(let ((?x7100 (* (- 1) ?x7111)))
+(let ((?x7554 (+ ?x1885 ?x7100)))
+(let (($x7556 (>= ?x7554 0)))
+(let (($x7003 (= ?x1885 ?x7111)))
+(let (($x7243 (= ?v1!18 v_b_v_G_1$)))
+(let (($x7246 (fun_app$ v_b_Visited_G_1$ ?v1!18)))
+(let (($x6211 (not $x7246)))
+(let (($x7248 (>= (+ ?x1885 ?x6619 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
+(let (($x7499 (not $x7248)))
+(let ((?x6721 (* (- 1) ?x6619)))
+(let ((?x5600 (+ ?x1892 ?x6721)))
+(let (($x7353 (>= ?x5600 0)))
+(let ((@x8658 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7618 $x7353)) (hypothesis $x6615) $x7353)))
+(let (($x7076 (<= (+ ?x1893 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
+(let (($x7084 (or $x3691 $x7076)))
+(let (($x7081 (= (or $x3691 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)) $x7084)))
+(let ((@x7078 (rewrite (= (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0) $x7076))))
+(let (($x7048 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)))
+(let (($x7069 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)))))
+(let ((@x7073 (monotonicity (rewrite $x7069) (= $x7048 (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0)))))
+(let ((@x7090 (trans (monotonicity (trans @x7073 @x7078 (= $x7048 $x7076)) $x7081) (rewrite (= $x7084 $x7084)) $x7081)))
+(let ((@x7496 (unit-resolution (mp ((_ quant-inst ?v0!19) (or $x3691 $x7048)) @x7090 $x7084) @x6892 $x7076)))
+(let ((@x7501 (lemma ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x7248) @x7571 @x7496 (hypothesis $x7353) false) (or $x7499 $x1896 (not $x7353)))))
+(let ((@x6992 (rewrite (= (or $x3578 (or $x6211 $x1888 $x7248)) (or $x3578 $x6211 $x1888 $x7248)))))
+(let ((@x7051 (mp ((_ quant-inst ?v0!19 ?v1!18) (or $x3578 (or $x6211 $x1888 $x7248))) @x6992 (or $x3578 $x6211 $x1888 $x7248))))
+(let ((@x8673 (unit-resolution (unit-resolution @x7051 @x4223 (hypothesis $x1889) (or $x6211 $x7248)) (unit-resolution @x7501 @x8658 @x7571 $x7499) $x6211)))
+(let (($x7222 (or $x7243 $x7246)))
+(let (($x6667 (fun_app$ ?x265 ?v1!18)))
+(let (($x6740 (= $x6667 $x7222)))
+(let (($x6746 (or $x4114 $x6740)))
+(let ((@x6743 (monotonicity (rewrite (= (ite $x7243 true $x7246) $x7222)) (= (= $x6667 (ite $x7243 true $x7246)) $x6740))))
+(let ((@x6845 (monotonicity @x6743 (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
+(let ((@x4954 (trans @x6845 (rewrite (= $x6746 $x6746)) (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
+(let ((@x6537 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!18) (or $x4114 (= $x6667 (ite $x7243 true $x7246)))) @x4954 $x6746)))
+(let ((@x8675 (mp (hypothesis $x1883) (symm (monotonicity @x5875 (= $x6667 $x1883)) (= $x1883 $x6667)) $x6667)))
+(let ((@x8676 (unit-resolution (def-axiom (or (not $x6740) (not $x6667) $x7222)) @x8675 (unit-resolution @x6537 @x3473 $x6740) $x7222)))
+(let ((@x4955 (def-axiom (or (not $x7222) $x7243 $x7246))))
+(let ((@x7000 (unit-resolution (hypothesis (not $x7003)) (monotonicity (monotonicity (hypothesis $x7243) (= ?x1884 ?x7110)) $x7003) false)))
+(let ((@x7002 (lemma @x7000 (or (not $x7243) $x7003))))
+(let ((@x7011 ((_ th-lemma arith triangle-eq) (or (not $x7003) $x7556))))
+(let ((@x8679 (unit-resolution @x7011 (unit-resolution @x7002 (unit-resolution @x4955 @x8676 @x8673 $x7243) $x7003) $x7556)))
+(let (($x7102 (<= (+ b_Infinity$ ?x7100) 0)))
+(let ((?x7171 (+ ?x257 ?x1894 ?x7111)))
+(let (($x7252 (>= ?x7171 0)))
+(let (($x7576 (not $x7252)))
+(let (($x7366 (<= (+ ?x257 ?x6721) 0)))
+(let (($x8449 (or $x3665 $x7246 $x7366)))
+(let (($x7357 (>= (+ ?x6619 ?x1173) 0)))
+(let (($x7358 (or $x7246 $x7357)))
+(let (($x8450 (or $x3665 $x7358)))
+(let ((@x8441 (monotonicity (rewrite (= (+ ?x6619 ?x1173) (+ ?x1173 ?x6619))) (= $x7357 (>= (+ ?x1173 ?x6619) 0)))))
+(let ((@x8445 (trans @x8441 (rewrite (= (>= (+ ?x1173 ?x6619) 0) $x7366)) (= $x7357 $x7366))))
+(let ((@x8454 (monotonicity (monotonicity @x8445 (= $x7358 (or $x7246 $x7366))) (= $x8450 (or $x3665 (or $x7246 $x7366))))))
+(let ((@x8458 (trans @x8454 (rewrite (= (or $x3665 (or $x7246 $x7366)) $x8449)) (= $x8450 $x8449))))
+(let ((@x8681 (unit-resolution (mp ((_ quant-inst ?v1!18) $x8450) @x8458 $x8449) (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) @x8673 $x7366)))
+(let ((@x8685 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 1) (or $x7576 $x1896 (not $x7353) (not $x7366) (not $x7556))) @x8681 @x8679 @x7571 @x8658 $x7576)))
+(let ((@x8686 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x7171 0)) $x7252)) @x8685 (not (= ?x7171 0)))))
+(let (($x7117 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19)) ?x7111) 0)))
+(let (($x7161 (not $x7117)))
+(let ((@x8688 ((_ th-lemma arith assign-bounds -1 -1 1 -1 1) (or $x7161 (not $x7076) $x1896 (not $x7353) (not $x7366) (not $x7556)))))
+(let (($x7174 (= ?x7171 0)))
+(let (($x7184 (or $x7102 $x7117 $x7174)))
+(let (($x7186 (or $x3675 $x7102 $x7117 $x7174)))
+(let (($x7104 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) 0)))
+(let (($x7165 (or $x7102 $x7104 (= (+ ?x257 ?x7111 ?x1894) 0))))
+(let (($x7187 (or $x3675 $x7165)))
+(let ((@x7183 (monotonicity (rewrite (= (+ ?x257 ?x7111 ?x1894) ?x7171)) (= (= (+ ?x257 ?x7111 ?x1894) 0) $x7174))))
+(let ((@x7119 (rewrite (= (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0) $x7117))))
+(let (($x7112 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100))))
+(let ((@x7115 (monotonicity (rewrite $x7112) (= $x7104 (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0)))))
+(let ((@x7205 (monotonicity (monotonicity (trans @x7115 @x7119 (= $x7104 $x7117)) @x7183 (= $x7165 $x7184)) (= $x7187 (or $x3675 $x7184)))))
+(let ((@x7250 (mp ((_ quant-inst ?v0!19) $x7187) (trans @x7205 (rewrite (= (or $x3675 $x7184) $x7186)) (= $x7187 $x7186)) $x7186)))
+(let ((@x8690 (unit-resolution (unit-resolution @x7250 @x6588 $x7184) (unit-resolution @x8688 @x8681 @x8679 @x7571 @x8658 @x7496 $x7161) @x8686 $x7102)))
+(let ((@x8693 (lemma ((_ th-lemma arith farkas -1 1 1) @x8690 @x8679 (hypothesis $x1889) false) (or $x7618 $x1888 $x1896 $x2791))))
+(let ((@x7245 (mp ((_ quant-inst ?v1!18) (or $x3700 (or $x2791 $x6615))) (rewrite (= (or $x3700 (or $x2791 $x6615)) (or $x3700 $x2791 $x6615))) (or $x3700 $x2791 $x6615))))
+(let ((@x8285 (unit-resolution @x7245 @x7616 @x7607 (unit-resolution @x8693 @x7592 @x7571 @x7607 $x7618) false)))
+(unit-resolution (lemma @x8285 (or $x2806 $x1896)) @x8434 (unit-resolution @x8433 (lemma @x8013 $x3737) $x2811) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
+
--- a/src/HOL/SMT_Examples/Boogie_Dijkstra.certs2	Thu Sep 18 00:02:45 2014 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,3045 +0,0 @@
-9d6b81d96fb21c8c08e3f1fd649ce37bdafb5f92 3044 0
-unsat
-((set-logic AUFLIA)
-(declare-fun ?v0!19 () B_Vertex$)
-(declare-fun ?v1!18 () B_Vertex$)
-(declare-fun ?v0!20 () B_Vertex$)
-(declare-fun ?v0!17 () B_Vertex$)
-(declare-fun ?v1!16 () B_Vertex$)
-(declare-fun ?v0!15 () B_Vertex$)
-(declare-fun ?v0!14 () B_Vertex$)
-(declare-fun ?v0!13 () B_Vertex$)
-(declare-fun ?v0!12 () B_Vertex$)
-(declare-fun ?v0!11 () B_Vertex$)
-(declare-fun ?v1!10 () B_Vertex$)
-(declare-fun ?v1!9 (B_Vertex$) B_Vertex$)
-(declare-fun ?v0!8 () B_Vertex$)
-(declare-fun ?v1!7 (B_Vertex$) B_Vertex$)
-(declare-fun ?v1!6 (B_Vertex$) B_Vertex$)
-(declare-fun ?v0!5 () B_Vertex$)
-(declare-fun ?v0!4 () B_Vertex$)
-(declare-fun ?v1!3 () B_Vertex$)
-(declare-fun ?v0!2 () B_Vertex$)
-(declare-fun ?v1!1 () B_Vertex$)
-(declare-fun ?v0!0 () B_Vertex$)
-(proof
-(let ((?x1893 (v_b_SP_G_2$ ?v0!19)))
-(let ((?x1894 (* (- 1) ?x1893)))
-(let ((?x1892 (v_b_SP_G_2$ ?v1!18)))
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-(let ((@x1219 (monotonicity @x1195 (quant-intro @x1198 (= $x617 $x1199)) (= $x620 (and $x1193 $x1199)))))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?0)))
-(let (($x1206 (or $x178 (>= (+ ?x174 ?x1173) 0))))
-(let (($x259 (<= ?x257 ?x174)))
-(let (($x602 (or $x178 $x259)))
-(let ((@x1208 (monotonicity (rewrite (= $x259 (>= (+ ?x174 ?x1173) 0))) (= $x602 $x1206))))
-(let ((@x1225 (monotonicity (quant-intro @x1208 (= $x605 $x1209)) (monotonicity @x1219 (= $x623 (and $x266 (and $x1193 $x1199)))) (= $x626 (and $x1209 (and $x266 (and $x1193 $x1199)))))))
-(let ((@x1228 (monotonicity (rewrite (= $x258 $x1214)) @x1225 (= $x629 (and $x1214 (and $x1209 (and $x266 (and $x1193 $x1199))))))))
-(let (($x1002 (<= (+ b_Infinity$ (* (- 1) ?x174)) 0)))
-(let (($x1003 (not $x1002)))
-(let (($x179 (not $x178)))
-(let (($x1077 (and $x179 $x1003)))
-(let ((@x1079 (monotonicity (rewrite (= (< ?x174 b_Infinity$) $x1003)) (= (and $x179 (< ?x174 b_Infinity$)) $x1077))))
-(let ((@x1234 (monotonicity (quant-intro @x1079 (= $x209 $x1080)) (monotonicity @x1228 $x1230) (= $x635 $x1232))))
-(let ((@x1242 (monotonicity (trans @x1234 (rewrite (= $x1232 $x1235)) (= $x635 $x1235)) (= (not $x635) $x1240))))
-(let ((@x1370 (monotonicity @x1242 (monotonicity @x1249 @x1364 (= $x803 $x1365)) (= $x810 $x1368))))
-(let ((?x230 (fun_app$c v_b_SP_G_3$ ?0)))
-(let (($x1140 (>= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?1))) 0)))
-(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
-(let (($x1100 (not $x1099)))
-(let (($x1134 (and $x1100 $x923)))
-(let (($x1137 (not $x1134)))
-(let (($x1143 (or $x1137 $x1140)))
-(let ((?x521 (+ ?x155 ?x230)))
-(let ((?x233 (fun_app$c v_b_SP_G_3$ ?1)))
-(let (($x545 (<= ?x233 ?x521)))
-(let (($x552 (or (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x545)))
-(let ((@x1136 (monotonicity (rewrite (= (< ?x230 b_Infinity$) $x1100)) @x925 (= (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$)) $x1134))))
-(let ((@x1139 (monotonicity @x1136 (= (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x1137))))
-(let ((@x1148 (quant-intro (monotonicity @x1139 (rewrite (= $x545 $x1140)) (= $x552 $x1143)) (= $x557 $x1146))))
-(let ((@x1154 (monotonicity (monotonicity @x1148 (= (not $x557) $x1149)) (= $x573 $x1152))))
-(let (($x1122 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(and (not (>= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?0))) 0)) (= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?0))) 0)))))
-))
-(let (($x1103 (and $x132 $x1100)))
-(let (($x1106 (not $x1103)))
-(let (($x1125 (or $x1106 $x1122)))
-(let (($x530 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x521 (+ ?x155 ?x230)))
-(let ((?x233 (fun_app$c v_b_SP_G_3$ ?0)))
-(let (($x524 (= ?x233 ?x521)))
-(let (($x234 (< ?x230 ?x233)))
-(and $x234 $x524))))))))
-))
-(let (($x537 (or (not (and $x132 (< ?x230 b_Infinity$))) $x530)))
-(let (($x1119 (and (not (>= (+ ?x230 (* (- 1) ?x233)) 0)) (= (+ ?x155 ?x230 (* (- 1) ?x233)) 0))))
-(let (($x524 (= ?x233 ?x521)))
-(let (($x234 (< ?x230 ?x233)))
-(let (($x527 (and $x234 $x524)))
-(let ((@x1121 (monotonicity (rewrite (= $x234 (not (>= (+ ?x230 (* (- 1) ?x233)) 0)))) (rewrite (= $x524 (= (+ ?x155 ?x230 (* (- 1) ?x233)) 0))) (= $x527 $x1119))))
-(let ((@x1105 (monotonicity (rewrite (= (< ?x230 b_Infinity$) $x1100)) (= (and $x132 (< ?x230 b_Infinity$)) $x1103))))
-(let ((@x1127 (monotonicity (monotonicity @x1105 (= (not (and $x132 (< ?x230 b_Infinity$))) $x1106)) (quant-intro @x1121 (= $x530 $x1122)) (= $x537 $x1125))))
-(let ((@x1133 (monotonicity (quant-intro @x1127 (= $x542 $x1128)) (= (not $x542) $x1131))))
-(let ((@x1160 (monotonicity @x1133 (monotonicity @x1148 @x1154 (= $x578 $x1155)) (= $x585 $x1158))))
-(let ((@x1091 (rewrite (= (and $x1083 (and $x212 (and $x215 (and $x217 $x220)))) $x1089))))
-(let (($x493 (and $x212 (and $x215 (and $x217 $x220)))))
-(let (($x507 (and $x210 $x493)))
-(let ((@x1088 (monotonicity (monotonicity (quant-intro @x1079 (= $x209 $x1080)) (= $x210 $x1083)) (= $x507 (and $x1083 $x493)))))
-(let ((@x1096 (monotonicity (trans @x1088 @x1091 (= $x507 $x1089)) (= (not $x507) $x1094))))
-(let ((@x1166 (monotonicity @x1096 (monotonicity (quant-intro @x1127 (= $x542 $x1128)) @x1160 (= $x590 $x1161)) (= $x597 $x1164))))
-(let (($x1070 (= (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))) $x1069)))
-(let (($x1067 (= $x482 (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))))))
-(let (($x1031 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
-(let (($x1017 (not $x1015)))
-(and $x1017 $x178 $x1012))))))))
-))
-(let (($x1006 (and $x132 $x1003)))
-(let (($x1009 (not $x1006)))
-(let (($x1034 (or $x1009 $x1031)))
-(let (($x437 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x410 (+ ?x155 ?x174)))
-(let ((?x182 (fun_app$c v_b_SP_G_1$ ?0)))
-(let (($x428 (= ?x182 ?x410)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x431 (and $x178 $x428)))
-(let (($x193 (< ?x174 ?x182)))
-(and $x193 $x431))))))))))
-))
-(let (($x444 (or (not (and $x132 (< ?x174 b_Infinity$))) $x437)))
-(let (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?1))) 0)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?1))) 0)))
-(let (($x1017 (not $x1015)))
-(let (($x1026 (and $x1017 $x178 $x1012)))
-(let ((?x410 (+ ?x155 ?x174)))
-(let ((?x182 (fun_app$c v_b_SP_G_1$ ?1)))
-(let (($x428 (= ?x182 ?x410)))
-(let (($x431 (and $x178 $x428)))
-(let (($x193 (< ?x174 ?x182)))
-(let (($x434 (and $x193 $x431)))
-(let ((@x1025 (monotonicity (rewrite (= $x193 $x1017)) (monotonicity (rewrite (= $x428 $x1012)) (= $x431 (and $x178 $x1012))) (= $x434 (and $x1017 (and $x178 $x1012))))))
-(let ((@x1030 (trans @x1025 (rewrite (= (and $x1017 (and $x178 $x1012)) $x1026)) (= $x434 $x1026))))
-(let ((@x1008 (monotonicity (rewrite (= (< ?x174 b_Infinity$) $x1003)) (= (and $x132 (< ?x174 b_Infinity$)) $x1006))))
-(let ((@x1036 (monotonicity (monotonicity @x1008 (= (not (and $x132 (< ?x174 b_Infinity$))) $x1009)) (quant-intro @x1030 (= $x437 $x1031)) (= $x444 $x1034))))
-(let (($x990 (>= (+ ?x155 ?x174 (* (- 1) ?x182)) 0)))
-(let (($x983 (and $x178 $x923)))
-(let (($x986 (not $x983)))
-(let (($x994 (or $x986 $x990)))
-(let (($x413 (<= ?x182 ?x410)))
-(let (($x420 (or (not (and $x178 (< ?x155 b_Infinity$))) $x413)))
-(let ((@x988 (monotonicity (monotonicity @x925 (= (and $x178 (< ?x155 b_Infinity$)) $x983)) (= (not (and $x178 (< ?x155 b_Infinity$))) $x986))))
-(let ((@x999 (quant-intro (monotonicity @x988 (rewrite (= $x413 $x990)) (= $x420 $x994)) (= $x425 $x997))))
-(let ((@x1056 (monotonicity @x999 (quant-intro @x1036 (= $x449 $x1037)) (= $x459 (and $x997 $x1037)))))
-(let (($x180 (fun_app$ v_b_Visited_G_1$ ?1)))
-(let (($x181 (and $x179 $x180)))
-(let (($x403 (not $x181)))
-(let (($x1042 (or $x403 $x1015)))
-(let (($x183 (<= ?x182 ?x174)))
-(let (($x404 (or $x403 $x183)))
-(let ((@x1047 (quant-intro (monotonicity (rewrite (= $x183 $x1015)) (= $x404 $x1042)) (= $x407 $x1045))))
-(let ((@x1053 (quant-intro (rewrite (= (<= 0 ?x174) (>= ?x174 0))) (= $x176 $x1051))))
-(let ((@x1062 (monotonicity @x1053 (monotonicity @x1047 @x1056 (= $x462 (and $x1045 (and $x997 $x1037)))) (= $x465 (and $x1051 (and $x1045 (and $x997 $x1037)))))))
-(let ((@x1065 (monotonicity @x1062 (= $x468 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))))))
-(let (($x974 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x128 (v_b_SP_G_0$ ?v1)))
-(let (($x957 (= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?0)) ?x155) 0)))
-(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(let (($x907 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?0))) 0)))
-(let (($x960 (not $x907)))
-(and $x960 $x136 $x957))))))))
-))
-(let (($x951 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
-(let (($x954 (not $x951)))
-(let (($x977 (or $x954 $x974)))
-(let (($x168 (exists ((?v1 B_Vertex$) )(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(let (($x166 (and $x136 (= (v_b_SP_G_0$ ?0) (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
-(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?0)) $x166))))
-))
-(let (($x397 (or (not (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x168)))
-(let (($x957 (= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x155) 0)))
-(let (($x136 (v_b_Visited_G_0$ ?0)))
-(let (($x907 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1))) 0)))
-(let (($x960 (not $x907)))
-(let (($x969 (and $x960 $x136 $x957)))
-(let (($x167 (and (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) (and $x136 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155))))))
-(let (($x964 (= (and $x136 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155))) (and $x136 $x957))))
-(let ((@x959 (rewrite (= (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x155)) $x957))))
-(let ((@x968 (monotonicity (rewrite (= (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) $x960)) (monotonicity @x959 $x964) (= $x167 (and $x960 (and $x136 $x957))))))
-(let ((@x973 (trans @x968 (rewrite (= (and $x960 (and $x136 $x957)) $x969)) (= $x167 $x969))))
-(let (($x949 (= (< (v_b_SP_G_0$ ?0) b_Infinity$) (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
-(let ((@x953 (monotonicity (rewrite $x949) (= (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$)) $x951))))
-(let ((@x956 (monotonicity @x953 (= (not (and $x132 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x954))))
-(let ((@x982 (quant-intro (monotonicity @x956 (quant-intro @x973 (= $x168 $x974)) (= $x397 $x977)) (= $x400 $x980))))
-(let ((@x1076 (monotonicity (trans (monotonicity @x982 @x1065 $x1067) (rewrite $x1070) (= $x482 $x1069)) (= (not $x482) $x1074))))
-(let ((@x1376 (monotonicity @x1076 (monotonicity @x1166 @x1370 (= $x815 $x1371)) (= $x822 $x1374))))
-(let (($x933 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x155) 0)))
-(let (($x926 (and $x136 $x923)))
-(let (($x929 (not $x926)))
-(let (($x936 (or $x929 $x933)))
-(let ((?x150 (v_b_SP_G_0$ ?1)))
-(let (($x159 (<= ?x150 (+ (v_b_SP_G_0$ ?0) ?x155))))
-(let (($x390 (or (not (and $x136 (< ?x155 b_Infinity$))) $x159)))
-(let ((@x931 (monotonicity (monotonicity @x925 (= (and $x136 (< ?x155 b_Infinity$)) $x926)) (= (not (and $x136 (< ?x155 b_Infinity$))) $x929))))
-(let ((@x941 (quant-intro (monotonicity @x931 (rewrite (= $x159 $x933)) (= $x390 $x936)) (= $x393 $x939))))
-(let ((@x1382 (monotonicity (monotonicity @x941 (= (not $x393) $x942)) (monotonicity @x982 @x1376 (= $x827 $x1377)) (= $x834 $x1380))))
-(let (($x148 (v_b_Visited_G_0$ ?1)))
-(let (($x137 (not $x136)))
-(let (($x149 (and $x137 $x148)))
-(let (($x382 (not $x149)))
-(let (($x911 (or $x382 $x907)))
-(let ((?x128 (v_b_SP_G_0$ ?0)))
-(let (($x151 (<= ?x150 ?x128)))
-(let (($x383 (or $x382 $x151)))
-(let ((@x916 (quant-intro (monotonicity (rewrite (= $x151 $x907)) (= $x383 $x911)) (= $x386 $x914))))
-(let ((@x1388 (monotonicity (monotonicity @x916 (= (not $x386) $x917)) (monotonicity @x941 @x1382 (= $x839 $x1383)) (= $x846 $x1386))))
-(let ((@x901 (quant-intro (rewrite (= (<= 0 ?x128) (>= ?x128 0))) (= $x147 $x899))))
-(let ((@x1394 (monotonicity (monotonicity @x901 (= (not $x147) $x902)) (monotonicity @x916 @x1388 (= $x851 $x1389)) (= $x858 $x1392))))
-(let ((@x1400 (monotonicity (monotonicity @x901 @x1394 (= $x863 $x1395)) (= $x870 $x1398))))
-(let ((@x895 (monotonicity (rewrite (= (and $x354 (and $x360 $x138)) $x890)) (= (not (and $x354 (and $x360 $x138))) (not $x890)))))
-(let ((@x1406 (monotonicity @x895 (monotonicity @x1400 (= $x875 $x1401)) (= $x882 (or (not $x890) $x1401)))))
-(let (($x318 (exists ((?v1 B_Vertex$) )(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x316 (and $x291 (= (v_b_SP_G_2$ ?0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
-(let ((?x303 (v_b_SP_G_2$ ?0)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
-(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x316)))))))
-))
-(let (($x313 (and $x132 (< ?x273 b_Infinity$))))
-(let (($x319 (=> $x313 $x318)))
-(let ((@x691 (monotonicity (rewrite (= (+ ?x273 ?x155) ?x671)) (= (= ?x303 (+ ?x273 ?x155)) $x689))))
-(let ((@x697 (monotonicity (monotonicity @x691 (= (and $x291 (= ?x303 (+ ?x273 ?x155))) $x692)) (= (and $x314 (and $x291 (= ?x303 (+ ?x273 ?x155)))) $x695))))
-(let ((@x703 (monotonicity (quant-intro @x697 (= $x318 $x698)) (= $x319 (=> $x313 $x698)))))
-(let ((@x712 (quant-intro (trans @x703 (rewrite (= (=> $x313 $x698) $x705)) (= $x319 $x705)) (= $x320 $x710))))
-(let ((@x719 (trans (monotonicity @x712 (= $x321 (and $x710 false))) (rewrite (= (and $x710 false) false)) (= $x321 false))))
-(let ((@x726 (trans (monotonicity @x719 (= $x322 (=> false true))) (rewrite (= (=> false true) true)) (= $x322 true))))
-(let ((@x733 (trans (monotonicity @x712 @x726 (= $x323 (and $x710 true))) (rewrite (= (and $x710 true) $x710)) (= $x323 $x710))))
-(let (($x156 (< ?x155 b_Infinity$)))
-(let (($x307 (and $x291 $x156)))
-(let (($x310 (=> $x307 (<= ?x303 (+ ?x273 ?x155)))))
-(let ((@x676 (monotonicity (rewrite (= (+ ?x273 ?x155) ?x671)) (= (<= ?x303 (+ ?x273 ?x155)) $x674))))
-(let ((@x685 (trans (monotonicity @x676 (= $x310 (=> $x307 $x674))) (rewrite (= (=> $x307 $x674) $x681)) (= $x310 $x681))))
-(let ((@x736 (monotonicity (quant-intro @x685 (= $x311 $x686)) @x733 (= $x324 (=> $x686 $x710)))))
-(let ((@x745 (monotonicity (quant-intro @x685 (= $x311 $x686)) (trans @x736 (rewrite (= (=> $x686 $x710) $x738)) (= $x324 $x738)) (= (and $x311 $x324) $x743))))
-(let ((@x748 (monotonicity (quant-intro (rewrite (= (=> $x302 $x304) $x665)) (= $x306 $x668)) @x745 (= $x326 (=> $x668 $x743)))))
-(let ((@x757 (monotonicity (quant-intro (rewrite (= (=> $x302 $x304) $x665)) (= $x306 $x668)) (trans @x748 (rewrite (= (=> $x668 $x743) $x750)) (= $x326 $x750)) (= (and $x306 $x326) $x755))))
-(let ((@x766 (trans (monotonicity @x757 (= $x328 (=> $x299 $x755))) (rewrite (= (=> $x299 $x755) $x762)) (= $x328 $x762))))
-(let ((@x772 (monotonicity (monotonicity @x766 (= (and $x299 $x328) $x767)) (= $x330 (=> $x297 $x767)))))
-(let ((@x781 (monotonicity (trans @x772 (rewrite (= (=> $x297 $x767) $x774)) (= $x330 $x774)) (= (and $x297 $x330) $x779))))
-(let ((@x654 (quant-intro (rewrite (= (=> $x291 $x278) (or $x300 $x278))) (= $x293 $x652))))
-(let ((@x659 (monotonicity @x654 (rewrite (= (and true true) true)) (= $x295 (and $x652 true)))))
-(let ((@x784 (monotonicity (trans @x659 (rewrite (= (and $x652 true) $x652)) (= $x295 $x652)) @x781 (= $x332 (=> $x652 $x779)))))
-(let ((@x793 (monotonicity @x654 (trans @x784 (rewrite (= (=> $x652 $x779) $x786)) (= $x332 $x786)) (= (and $x293 $x332) $x791))))
-(let ((@x802 (trans (monotonicity @x793 (= $x334 (=> $x290 $x791))) (rewrite (= (=> $x290 $x791) $x798)) (= $x334 $x798))))
-(let (($x633 (= (and $x256 (and $x258 (and $x261 (and $x266 (and $x276 $x280))))) $x632)))
-(let ((@x622 (monotonicity (quant-intro (rewrite (= (=> $x272 $x274) $x608)) (= $x276 $x611)) (quant-intro (rewrite (= (=> $x277 $x278) $x614)) (= $x280 $x617)) (= (and $x276 $x280) $x620))))
-(let ((@x628 (monotonicity (quant-intro (rewrite (= (=> $x179 $x259) $x602)) (= $x261 $x605)) (monotonicity @x622 (= (and $x266 (and $x276 $x280)) $x623)) (= (and $x261 (and $x266 (and $x276 $x280))) $x626))))
-(let ((@x631 (monotonicity @x628 (= (and $x258 (and $x261 (and $x266 (and $x276 $x280)))) $x629))))
-(let ((@x640 (monotonicity (monotonicity (monotonicity @x631 $x633) (= $x286 $x635)) (= $x287 (and true $x635)))))
-(let ((@x646 (monotonicity (trans @x640 (rewrite (= (and true $x635) $x635)) (= $x287 $x635)) (= $x288 (and true $x635)))))
-(let ((@x808 (monotonicity (trans @x646 (rewrite (= (and true $x635) $x635)) (= $x288 $x635)) (monotonicity @x802 (= (and $x290 $x334) $x803)) (= $x336 (=> $x635 $x803)))))
-(let ((@x564 (monotonicity (rewrite (= (=> $x246 true) true)) (= $x248 (and $x246 true)))))
-(let (($x231 (< ?x230 b_Infinity$)))
-(let (($x241 (and $x231 $x156)))
-(let (($x243 (=> $x241 (<= ?x233 (+ ?x230 ?x155)))))
-(let ((@x547 (monotonicity (rewrite (= (+ ?x230 ?x155) ?x521)) (= (<= ?x233 (+ ?x230 ?x155)) $x545))))
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-(or $x178 $x1002))))
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-(let (($x127 (= ?v0 b_Source$)))
-(let (($x132 (not $x127)))
-(let (($x1006 (and $x132 $x1003)))
-(let (($x1009 (not $x1006)))
-(or $x1009 $x2134))))))))))))))
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-(let (($x2102 (forall ((?v0 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v0)))
-(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?v0) ?v0))))))
-(let (($x2091 (= ?x2090 0)))
-(let ((?x1578 (?v1!6 ?v0)))
-(let (($x1583 (v_b_Visited_G_0$ ?x1578)))
-(let (($x2096 (and (not (<= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?x1578))) 0)) $x1583 $x2091)))
-(let (($x127 (= ?v0 b_Source$)))
-(let (($x132 (not $x127)))
-(let (($x951 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) ?x128)) 0)))))
-(let (($x954 (not $x951)))
-(or $x954 $x2096))))))))))))
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-(let (($x2315 (and $x2102 $x173 $x1051 $x1045 $x997 $x2140 $x2306)))
-(let (($x1567 (forall ((?v1 B_Vertex$) )(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
-(let ((?x1541 (* (- 1) ?x1540)))
-(let ((?x128 (v_b_SP_G_0$ ?v1)))
-(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(let (($x1554 (and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0))))
-(not $x1554)))))))
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-(let (($x2062 (and $x1539 $x1544 $x1567)))
-(let (($x2320 (or $x2062 $x2315)))
-(let (($x2323 (and $x939 $x2320)))
-(let (($x1520 (not (and $x1512 (not $x1517)))))
-(let (($x2051 (or $x1520 $x2048)))
-(let (($x2054 (not $x2051)))
-(let (($x2326 (or $x2054 $x2323)))
-(let (($x2329 (and $x914 $x2326)))
-(let (($x1493 (not (and (not $x1489) $x1491))))
-(let (($x1499 (or $x1493 $x1498)))
-(let (($x1500 (not $x1499)))
-(let (($x2332 (or $x1500 $x2329)))
-(let (($x2335 (and $x899 $x2332)))
-(let (($x2338 (or $x1477 $x2335)))
-(let (($x2341 (and $x145 $x2338)))
-(let (($x2344 (or $x869 $x2341)))
-(let ((@x2942 (rewrite (= (and $x1774 $x1779 $x256 $x1214 $x1209 $x266 $x2736 $x2742 $x2928) $x2940))))
-(let (($x2242 (= (+ ?x273 (* (- 1) ?x1911) (b_G$ (pair$ ?0 ?v0!20))) 0)))
-(let (($x2245 (and (not (>= (+ ?x273 (* (- 1) ?x1911)) 0)) $x291 $x2242)))
-(let (($x2248 (not $x2245)))
-(let ((@x2843 (monotonicity (rewrite (= $x2245 (not $x2837))) (= $x2248 (not (not $x2837))))))
-(let ((@x2850 (quant-intro (trans @x2843 (rewrite (= (not (not $x2837)) $x2837)) (= $x2248 $x2837)) (= $x2251 $x2848))))
-(let ((@x2820 (monotonicity (rewrite (= $x1276 (not (or $x300 $x922)))) (= $x1279 (not (not (or $x300 $x922)))))))
-(let ((@x2824 (trans @x2820 (rewrite (= (not (not (or $x300 $x922))) (or $x300 $x922))) (= $x1279 (or $x300 $x922)))))
-(let ((@x2832 (trans (monotonicity @x2824 (= $x1286 (or (or $x300 $x922) $x1282))) (rewrite (= (or (or $x300 $x922) $x1282) (or $x300 $x922 $x1282))) (= $x1286 (or $x300 $x922 $x1282)))))
-(let ((@x2853 (monotonicity (quant-intro @x2832 (= $x1289 $x2833)) @x2850 (= $x2260 (and $x2833 $x1910 $x1915 $x2848)))))
-(let ((@x2861 (trans @x2853 (rewrite (= (and $x2833 $x1910 $x1915 $x2848) $x2857)) (= $x2260 $x2857))))
-(let ((@x2798 (monotonicity (rewrite (= (and $x1883 (not $x1888)) (not (or $x2791 $x1888)))) (= $x1891 (not (not (or $x2791 $x1888)))))))
-(let ((@x2802 (trans @x2798 (rewrite (= (not (not (or $x2791 $x1888))) (or $x2791 $x1888))) (= $x1891 (or $x2791 $x1888)))))
-(let ((@x2810 (trans (monotonicity @x2802 (= $x1897 (or (or $x2791 $x1888) $x1896))) (rewrite (= (or (or $x2791 $x1888) $x1896) $x2806)) (= $x1897 $x2806))))
-(let ((@x2864 (monotonicity (monotonicity @x2810 (= $x1898 $x2811)) @x2861 (= $x2265 $x2862))))
-(let ((@x2785 (rewrite (= (or (or $x291 (not $x301)) $x1262) (or $x291 (not $x301) $x1262)))))
-(let ((@x2777 (rewrite (= (not (not (or $x291 (not $x301)))) (or $x291 (not $x301))))))
-(let ((@x2775 (monotonicity (rewrite (= $x302 (not (or $x291 (not $x301))))) (= $x664 (not (not (or $x291 (not $x301))))))))
-(let ((@x2782 (monotonicity (trans @x2775 @x2777 (= $x664 (or $x291 (not $x301)))) (= $x1267 (or (or $x291 (not $x301)) $x1262)))))
-(let ((@x2790 (quant-intro (trans @x2782 @x2785 (= $x1267 (or $x291 (not $x301) $x1262))) (= $x1270 $x2788))))
-(let ((@x2875 (trans (monotonicity @x2790 @x2864 (= $x2268 (and $x2788 $x2862))) (rewrite (= (and $x2788 $x2862) $x2871)) (= $x2268 $x2871))))
-(let ((@x2752 (monotonicity (rewrite (= (and (not $x1860) $x1862) (not (or $x1860 $x2745)))) (= $x1864 (not (not (or $x1860 $x2745)))))))
-(let ((@x2756 (trans @x2752 (rewrite (= (not (not (or $x1860 $x2745))) (or $x1860 $x2745))) (= $x1864 (or $x1860 $x2745)))))
-(let ((@x2764 (trans (monotonicity @x2756 (= $x1870 (or (or $x1860 $x2745) $x1869))) (rewrite (= (or (or $x1860 $x2745) $x1869) $x2760)) (= $x1870 $x2760))))
-(let ((@x2878 (monotonicity (monotonicity @x2764 (= $x1871 $x2765)) @x2875 (= $x2271 $x2876))))
-(let ((@x2888 (trans (monotonicity @x2878 (= $x2274 (and $x1256 $x2876))) (rewrite (= (and $x1256 $x2876) $x2884)) (= $x2274 $x2884))))
-(let ((@x2894 (monotonicity (monotonicity @x2888 (= $x2277 $x2889)) (= $x2280 (and $x297 $x2889)))))
-(let ((@x2904 (monotonicity (trans @x2894 (rewrite (= (and $x297 $x2889) $x2897)) (= $x2280 $x2897)) (= $x2283 $x2902))))
-(let ((@x2914 (trans (monotonicity @x2904 (= $x2286 (and $x652 $x2902))) (rewrite (= (and $x652 $x2902) $x2910)) (= $x2286 $x2910))))
-(let ((@x2920 (monotonicity (monotonicity @x2914 (= $x2289 $x2915)) (= $x2292 (and $x1247 $x2915)))))
-(let ((@x2930 (monotonicity (trans @x2920 (rewrite (= (and $x1247 $x2915) $x2923)) (= $x2292 $x2923)) (= $x2295 $x2928))))
-(let ((@x2741 (monotonicity (rewrite (= $x1179 (not (or $x1169 $x1175)))) (= $x1196 (or (not (or $x1169 $x1175)) $x278)))))
-(let ((@x2723 (monotonicity (rewrite (= $x1179 (not (or $x1169 $x1175)))) (= $x1182 (not (not (or $x1169 $x1175)))))))
-(let ((@x2727 (trans @x2723 (rewrite (= (not (not (or $x1169 $x1175))) (or $x1169 $x1175))) (= $x1182 (or $x1169 $x1175)))))
-(let ((@x2735 (trans (monotonicity @x2727 (= $x1190 (or (or $x1169 $x1175) $x1185))) (rewrite (= (or (or $x1169 $x1175) $x1185) (or $x1169 $x1175 $x1185))) (= $x1190 (or $x1169 $x1175 $x1185)))))
-(let ((@x2933 (monotonicity (quant-intro @x2735 (= $x1193 $x2736)) (quant-intro @x2741 (= $x1199 $x2742)) @x2930 (= $x2301 (and $x1774 $x1779 $x256 $x1214 $x1209 $x266 $x2736 $x2742 $x2928)))))
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-(let ((@x2663 (trans @x2659 (rewrite (= (not (not (or $x1099 $x922))) (or $x1099 $x922))) (= $x1137 (or $x1099 $x922)))))
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-(let ((@x2677 (monotonicity (quant-intro @x2671 (= $x1146 $x2672)) (= $x1752 (and $x2672 $x1749)))))
-(let ((@x2637 (monotonicity (rewrite (= (and (not $x1724) (not $x1730)) (not (or $x1724 $x1730)))) (= $x1733 (not (not (or $x1724 $x1730)))))))
-(let ((@x2641 (trans @x2637 (rewrite (= (not (not (or $x1724 $x1730))) (or $x1724 $x1730))) (= $x1733 (or $x1724 $x1730)))))
-(let ((@x2649 (trans (monotonicity @x2641 (= $x2212 (or (or $x1724 $x1730) $x2209))) (rewrite (= (or (or $x1724 $x1730) $x2209) $x2645)) (= $x2212 $x2645))))
-(let ((@x2687 (monotonicity (monotonicity @x2649 (= $x2215 $x2650)) (trans @x2677 (rewrite (= (and $x2672 $x1749) $x2680)) (= $x1752 $x2680)) (= $x2218 $x2685))))
-(let ((@x2610 (monotonicity (rewrite (= $x1103 (not (or $x127 $x1099)))) (= $x1106 (not (not (or $x127 $x1099)))))))
-(let ((@x2614 (trans @x2610 (rewrite (= (not (not (or $x127 $x1099))) (or $x127 $x1099))) (= $x1106 (or $x127 $x1099)))))
-(let ((@x2622 (monotonicity @x2614 (rewrite (= (and (not $x2176) $x2192) $x2617)) (= (or $x1106 (and (not $x2176) $x2192)) (or (or $x127 $x1099) $x2617)))))
-(let ((@x2627 (trans @x2622 (rewrite (= (or (or $x127 $x1099) $x2617) $x2623)) (= (or $x1106 (and (not $x2176) $x2192)) $x2623))))
-(let ((@x2690 (monotonicity (quant-intro @x2627 (= $x2203 $x2628)) @x2687 (= $x2221 (and $x2628 $x2685)))))
-(let (($x2151 (and (not (>= (+ ?x230 ?x1662) 0)) $x2148)))
-(let (($x2154 (not $x2151)))
-(let ((@x2586 (monotonicity (rewrite (= $x2151 (not $x2580))) (= $x2154 (not (not $x2580))))))
-(let ((@x2593 (quant-intro (trans @x2586 (rewrite (= (not (not $x2580)) $x2580)) (= $x2154 $x2580)) (= $x2157 $x2591))))
-(let ((@x2603 (trans (monotonicity @x2593 (= $x2163 (and $x1660 $x1665 $x2591))) (rewrite (= (and $x1660 $x1665 $x2591) $x2599)) (= $x2163 $x2599))))
-(let ((@x2701 (monotonicity @x2603 (trans @x2690 (rewrite (= (and $x2628 $x2685) $x2694)) (= $x2221 $x2694)) (= $x2224 $x2699))))
-(let ((@x2571 (monotonicity (rewrite (= $x1077 (not (or $x178 $x1002)))) (= (not $x1077) (not (not (or $x178 $x1002)))))))
-(let ((@x2575 (trans @x2571 (rewrite (= (not (not (or $x178 $x1002))) (or $x178 $x1002))) (= (not $x1077) (or $x178 $x1002)))))
-(let ((@x2704 (monotonicity (quant-intro @x2575 (= $x1641 $x2576)) @x2701 (= $x2230 (and $x2576 $x212 $x215 $x217 $x220 $x2699)))))
-(let ((@x2716 (trans @x2704 (rewrite (= (and $x2576 $x212 $x215 $x217 $x220 $x2699) $x2712)) (= $x2230 $x2712))))
-(let ((?x1613 (?v1!7 ?0)))
-(let (($x1618 (fun_app$ v_b_Visited_G_1$ ?x1613)))
-(let (($x2134 (and (not $x2113) $x1618 $x2129)))
-(let (($x2137 (or $x1009 $x2134)))
-(let ((@x2543 (monotonicity (rewrite (= $x1006 (not (or $x127 $x1002)))) (= $x1009 (not (not (or $x127 $x1002)))))))
-(let ((@x2547 (trans @x2543 (rewrite (= (not (not (or $x127 $x1002))) (or $x127 $x1002))) (= $x1009 (or $x127 $x1002)))))
-(let ((@x2556 (monotonicity @x2547 (rewrite (= $x2134 $x2551)) (= $x2137 (or (or $x127 $x1002) $x2551)))))
-(let ((@x2561 (trans @x2556 (rewrite (= (or (or $x127 $x1002) $x2551) $x2557)) (= $x2137 $x2557))))
-(let ((@x2521 (monotonicity (rewrite (= $x983 (not (or $x179 $x922)))) (= $x986 (not (not (or $x179 $x922)))))))
-(let ((@x2525 (trans @x2521 (rewrite (= (not (not (or $x179 $x922))) (or $x179 $x922))) (= $x986 (or $x179 $x922)))))
-(let ((@x2533 (trans (monotonicity @x2525 (= $x994 (or (or $x179 $x922) $x990))) (rewrite (= (or (or $x179 $x922) $x990) (or $x179 $x922 $x990))) (= $x994 (or $x179 $x922 $x990)))))
-(let ((@x2509 (rewrite (= (or (or $x178 (not $x180)) $x1015) (or $x178 (not $x180) $x1015)))))
-(let ((@x2501 (rewrite (= (not (not (or $x178 (not $x180)))) (or $x178 (not $x180))))))
-(let ((@x2499 (monotonicity (rewrite (= $x181 (not (or $x178 (not $x180))))) (= $x403 (not (not (or $x178 (not $x180))))))))
-(let ((@x2506 (monotonicity (trans @x2499 @x2501 (= $x403 (or $x178 (not $x180)))) (= $x1042 (or (or $x178 (not $x180)) $x1015)))))
-(let ((@x2514 (quant-intro (trans @x2506 @x2509 (= $x1042 (or $x178 (not $x180) $x1015))) (= $x1045 $x2512))))
-(let ((?x1578 (?v1!6 ?0)))
-(let (($x1583 (v_b_Visited_G_0$ ?x1578)))
-(let (($x2096 (and (not $x2075) $x1583 $x2091)))
-(let (($x2099 (or $x954 $x2096)))
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-(let ((@x2474 (trans @x2470 (rewrite (= (not (not (or $x127 $x947))) (or $x127 $x947))) (= $x954 (or $x127 $x947)))))
-(let ((@x2483 (monotonicity @x2474 (rewrite (= $x2096 $x2478)) (= $x2099 (or (or $x127 $x947) $x2478)))))
-(let ((@x2488 (trans @x2483 (rewrite (= (or (or $x127 $x947) $x2478) $x2484)) (= $x2099 $x2484))))
-(let ((@x2950 (monotonicity (quant-intro @x2488 (= $x2102 $x2489)) @x2514 (quant-intro @x2533 (= $x997 $x2534)) (quant-intro @x2561 (= $x2140 $x2562)) (monotonicity @x2716 (trans @x2933 @x2942 (= $x2301 $x2940)) (= $x2306 $x2945)) (= $x2315 (and $x2489 $x173 $x1051 $x2512 $x2534 $x2562 $x2945)))))
-(let ((@x2963 (trans @x2950 (rewrite (= (and $x2489 $x173 $x1051 $x2512 $x2534 $x2562 $x2945) $x2959)) (= $x2315 $x2959))))
-(let (($x1554 (and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?0 ?v0!5))) 0))))
-(let (($x1564 (not $x1554)))
-(let ((@x2446 (monotonicity (rewrite (= $x1554 (not $x2440))) (= $x1564 (not (not $x2440))))))
-(let ((@x2453 (quant-intro (trans @x2446 (rewrite (= (not (not $x2440)) $x2440)) (= $x1564 $x2440)) (= $x1567 $x2451))))
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-(let ((@x2423 (monotonicity (rewrite (= $x926 (not (or $x137 $x922)))) (= $x929 (not (not (or $x137 $x922)))))))
-(let ((@x2427 (trans @x2423 (rewrite (= (not (not (or $x137 $x922))) (or $x137 $x922))) (= $x929 (or $x137 $x922)))))
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-(let ((@x2969 (monotonicity (quant-intro @x2435 (= $x939 $x2436)) (monotonicity @x2463 @x2963 (= $x2320 $x2964)) (= $x2323 (and $x2436 $x2964)))))
-(let ((@x2401 (monotonicity (rewrite (= (and $x1512 (not $x1517)) (not (or $x2394 $x1517)))) (= $x1520 (not (not (or $x2394 $x1517)))))))
-(let ((@x2405 (trans @x2401 (rewrite (= (not (not (or $x2394 $x1517))) (or $x2394 $x1517))) (= $x1520 (or $x2394 $x1517)))))
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-(let ((@x2388 (rewrite (= (or (or $x136 (not $x148)) $x907) (or $x136 (not $x148) $x907)))))
-(let ((@x2380 (rewrite (= (not (not (or $x136 (not $x148)))) (or $x136 (not $x148))))))
-(let ((@x2378 (monotonicity (rewrite (= $x149 (not (or $x136 (not $x148))))) (= $x382 (not (not (or $x136 (not $x148))))))))
-(let ((@x2385 (monotonicity (trans @x2378 @x2380 (= $x382 (or $x136 (not $x148)))) (= $x911 (or (or $x136 (not $x148)) $x907)))))
-(let ((@x2393 (quant-intro (trans @x2385 @x2388 (= $x911 (or $x136 (not $x148) $x907))) (= $x914 $x2391))))
-(let ((@x2991 (trans (monotonicity @x2393 @x2980 (= $x2329 (and $x2391 $x2978))) (rewrite (= (and $x2391 $x2978) $x2987)) (= $x2329 $x2987))))
-(let ((@x2355 (monotonicity (rewrite (= (and (not $x1489) $x1491) (not (or $x1489 $x2348)))) (= $x1493 (not (not (or $x1489 $x2348)))))))
-(let ((@x2359 (trans @x2355 (rewrite (= (not (not (or $x1489 $x2348))) (or $x1489 $x2348))) (= $x1493 (or $x1489 $x2348)))))
-(let ((@x2367 (trans (monotonicity @x2359 (= $x1499 (or (or $x1489 $x2348) $x1498))) (rewrite (= (or (or $x1489 $x2348) $x1498) $x2363)) (= $x1499 $x2363))))
-(let ((@x2994 (monotonicity (monotonicity @x2367 (= $x1500 $x2368)) @x2991 (= $x2332 $x2992))))
-(let ((@x3004 (trans (monotonicity @x2994 (= $x2335 (and $x899 $x2992))) (rewrite (= (and $x899 $x2992) $x3000)) (= $x2335 $x3000))))
-(let ((@x3010 (monotonicity (monotonicity @x3004 (= $x2338 $x3005)) (= $x2341 (and $x145 $x3005)))))
-(let ((@x3020 (monotonicity (trans @x3010 (rewrite (= (and $x145 $x3005) $x3013)) (= $x2341 $x3013)) (= $x2344 $x3018))))
-(let (($x1938 (forall ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1912 (* (- 1) ?x1911)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
-(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x1925 (and (not (>= (+ ?x273 ?x1912) 0)) $x291 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x273 ?x1912) 0))))
-(not $x1925)))))))
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-(let (($x1932 (not (not (and $x1910 $x1915)))))
-(let (($x1942 (and $x1932 $x1938)))
-(let (($x1947 (and $x1289 $x1942)))
-(let (($x1951 (or $x1898 $x1947)))
-(let (($x1955 (and $x1270 $x1951)))
-(let (($x1959 (or $x1871 $x1955)))
-(let (($x1963 (and $x1256 $x1959)))
-(let (($x1967 (or $x1848 $x1963)))
-(let (($x1842 (not $x773)))
-(let (($x1971 (and $x1842 $x1967)))
-(let (($x1975 (or $x773 $x1971)))
-(let (($x1979 (and $x652 $x1975)))
-(let (($x1983 (or $x1830 $x1979)))
-(let (($x1987 (and $x1247 $x1983)))
-(let (($x1991 (or $x1813 $x1987)))
-(let (($x1801 (and (and $x1774 $x1779) $x256 $x1214 $x1209 $x266 $x1193 $x1199)))
-(let (($x1995 (and $x1801 $x1991)))
-(let (($x1739 (not (or $x1733 (>= (+ ?x1727 ?x1721 ?x1735) 0)))))
-(let (($x1756 (or $x1739 $x1752)))
-(let (($x1713 (forall ((?v0 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
-(let ((?x1097 (* (- 1) ?x230)))
-(let ((?x1699 (fun_app$c v_b_SP_G_3$ (?v1!9 ?v0))))
-(let ((?x1704 (b_G$ (pair$ (?v1!9 ?v0) ?v0))))
-(let (($x1706 (= (+ ?x1704 ?x1699 ?x1097) 0)))
-(let (($x1707 (and (not (>= (+ ?x1699 ?x1097) 0)) $x1706)))
-(let (($x1099 (<= (+ b_Infinity$ ?x1097) 0)))
-(let (($x1100 (not $x1099)))
-(let (($x127 (= ?v0 b_Source$)))
-(let (($x132 (not $x127)))
-(let (($x1103 (and $x132 $x1100)))
-(let (($x1106 (not $x1103)))
-(or $x1106 $x1707))))))))))))))
-))
-(let (($x1760 (and $x1713 $x1756)))
-(let (($x1687 (forall ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
-(let ((?x1662 (* (- 1) ?x1661)))
-(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
-(let (($x1675 (and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x230 ?x1662) 0))))
-(not $x1675))))))
-))
-(let (($x1681 (not (not (and $x1660 $x1665)))))
-(let (($x1691 (and $x1681 $x1687)))
-(let (($x1764 (or $x1691 $x1760)))
-(let (($x1652 (and $x1641 $x212 $x215 $x217 $x220)))
-(let (($x1768 (and $x1652 $x1764)))
-(let (($x1999 (or $x1768 $x1995)))
-(let (($x1629 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
-(let ((?x1000 (* (- 1) ?x174)))
-(let ((?x1613 (?v1!7 ?v0)))
-(let ((?x1614 (fun_app$c v_b_SP_G_1$ ?x1613)))
-(let ((?x1620 (b_G$ (pair$ ?x1613 ?v0))))
-(let (($x1622 (= (+ ?x1620 ?x1614 ?x1000) 0)))
-(let (($x1618 (fun_app$ v_b_Visited_G_1$ ?x1613)))
-(let (($x1623 (and (not (>= (+ ?x1614 ?x1000) 0)) $x1618 $x1622)))
-(let (($x1002 (<= (+ b_Infinity$ ?x1000) 0)))
-(let (($x1003 (not $x1002)))
-(let (($x127 (= ?v0 b_Source$)))
-(let (($x132 (not $x127)))
-(let (($x1006 (and $x132 $x1003)))
-(let (($x1009 (not $x1006)))
-(or $x1009 $x1623))))))))))))))))
-))
-(let (($x1594 (forall ((?v0 B_Vertex$) )(let ((?x1585 (b_G$ (pair$ (?v1!6 ?v0) ?v0))))
-(let ((?x128 (v_b_SP_G_0$ ?v0)))
-(let ((?x945 (* (- 1) ?x128)))
-(let ((?x1578 (?v1!6 ?v0)))
-(let ((?x1579 (v_b_SP_G_0$ ?x1578)))
-(let (($x1587 (= (+ ?x1579 ?x945 ?x1585) 0)))
-(let (($x1583 (v_b_Visited_G_0$ ?x1578)))
-(let (($x1588 (and (not (>= (+ ?x1579 ?x945) 0)) $x1583 $x1587)))
-(let (($x127 (= ?v0 b_Source$)))
-(let (($x132 (not $x127)))
-(let (($x951 (and $x132 (not (<= (+ b_Infinity$ ?x945) 0)))))
-(let (($x954 (not $x951)))
-(or $x954 $x1588))))))))))))))
-))
-(let (($x1632 (and $x1594 $x173 $x1051 $x1045 $x997 $x1629)))
-(let (($x2003 (and $x1632 $x1999)))
-(let (($x1561 (not (not (and $x1539 $x1544)))))
-(let (($x1571 (and $x1561 $x1567)))
-(let (($x2007 (or $x1571 $x2003)))
-(let (($x2011 (and $x939 $x2007)))
-(let (($x1527 (not (or $x1520 (>= (+ ?x1521 ?x1523 ?x1514) 0)))))
-(let (($x2015 (or $x1527 $x2011)))
-(let (($x2019 (and $x914 $x2015)))
-(let (($x2023 (or $x1500 $x2019)))
-(let (($x2027 (and $x899 $x2023)))
-(let (($x2031 (or $x1477 $x2027)))
-(let (($x1471 (not $x869)))
-(let (($x2035 (and $x1471 $x2031)))
-(let (($x2039 (or $x869 $x2035)))
-(let (($x1925 (and (not (>= (+ ?x273 (* (- 1) ?x1911)) 0)) $x291 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) 0))))
-(let (($x1935 (not $x1925)))
-(let (($x2243 (= (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) 0) $x2242)))
-(let (($x2240 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x273 (* (- 1) ?x1911)) (+ ?x273 (* (- 1) ?x1911) (b_G$ (pair$ ?0 ?v0!20))))))
-(let ((@x2250 (monotonicity (monotonicity (monotonicity (rewrite $x2240) $x2243) (= $x1925 $x2245)) (= $x1935 $x2248))))
-(let ((@x2256 (monotonicity (rewrite (= $x1932 (and $x1910 $x1915))) (quant-intro @x2250 (= $x1938 $x2251)) (= $x1942 (and (and $x1910 $x1915) $x2251)))))
-(let ((@x2264 (trans (monotonicity @x2256 (= $x1947 (and $x1289 (and (and $x1910 $x1915) $x2251)))) (rewrite (= (and $x1289 (and (and $x1910 $x1915) $x2251)) $x2260)) (= $x1947 $x2260))))
-(let ((@x2273 (monotonicity (monotonicity (monotonicity @x2264 (= $x1951 $x2265)) (= $x1955 $x2268)) (= $x1959 $x2271))))
-(let ((@x2282 (monotonicity (rewrite (= $x1842 $x297)) (monotonicity (monotonicity @x2273 (= $x1963 $x2274)) (= $x1967 $x2277)) (= $x1971 $x2280))))
-(let ((@x2291 (monotonicity (monotonicity (monotonicity @x2282 (= $x1975 $x2283)) (= $x1979 $x2286)) (= $x1983 $x2289))))
-(let ((@x2300 (monotonicity (monotonicity (monotonicity @x2291 (= $x1987 $x2292)) (= $x1991 $x2295)) (= $x1995 (and $x1801 $x2295)))))
-(let ((@x2211 (monotonicity (rewrite (= (+ ?x1727 ?x1721 ?x1735) ?x2206)) (= (>= (+ ?x1727 ?x1721 ?x1735) 0) $x2209))))
-(let ((@x2214 (monotonicity @x2211 (= (or $x1733 (>= (+ ?x1727 ?x1721 ?x1735) 0)) $x2212))))
-(let (($x2197 (and (not $x2176) $x2192)))
-(let (($x2200 (or $x1106 $x2197)))
-(let ((?x1097 (* (- 1) ?x230)))
-(let ((?x1699 (fun_app$c v_b_SP_G_3$ (?v1!9 ?0))))
-(let ((?x1704 (b_G$ (pair$ (?v1!9 ?0) ?0))))
-(let (($x1706 (= (+ ?x1704 ?x1699 ?x1097) 0)))
-(let (($x1707 (and (not (>= (+ ?x1699 ?x1097) 0)) $x1706)))
-(let (($x1710 (or $x1106 $x1707)))
-(let ((@x2189 (monotonicity (rewrite (= (+ ?x1704 ?x1699 ?x1097) (+ ?x1097 ?x1699 ?x1704))) (= $x1706 (= (+ ?x1097 ?x1699 ?x1704) 0)))))
-(let ((@x2196 (trans @x2189 (rewrite (= (= (+ ?x1097 ?x1699 ?x1704) 0) $x2192)) (= $x1706 $x2192))))
-(let ((@x2173 (monotonicity (rewrite (= (+ ?x1699 ?x1097) (+ ?x1097 ?x1699))) (= (>= (+ ?x1699 ?x1097) 0) (>= (+ ?x1097 ?x1699) 0)))))
-(let ((@x2180 (trans @x2173 (rewrite (= (>= (+ ?x1097 ?x1699) 0) $x2176)) (= (>= (+ ?x1699 ?x1097) 0) $x2176))))
-(let ((@x2199 (monotonicity (monotonicity @x2180 (= (not (>= (+ ?x1699 ?x1097) 0)) (not $x2176))) @x2196 (= $x1707 $x2197))))
-(let ((@x2223 (monotonicity (quant-intro (monotonicity @x2199 (= $x1710 $x2200)) (= $x1713 $x2203)) (monotonicity (monotonicity @x2214 (= $x1739 $x2215)) (= $x1756 $x2218)) (= $x1760 $x2221))))
-(let (($x1675 (and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) 0))))
-(let (($x1684 (not $x1675)))
-(let (($x2146 (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) (+ ?x230 ?x1662 (b_G$ (pair$ ?0 ?v0!8))))))
-(let ((@x2150 (monotonicity (rewrite $x2146) (= (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x230 ?x1662) 0) $x2148))))
-(let ((@x2159 (quant-intro (monotonicity (monotonicity @x2150 (= $x1675 $x2151)) (= $x1684 $x2154)) (= $x1687 $x2157))))
-(let ((@x2162 (monotonicity (rewrite (= $x1681 (and $x1660 $x1665))) @x2159 (= $x1691 (and (and $x1660 $x1665) $x2157)))))
-(let ((@x2167 (trans @x2162 (rewrite (= (and (and $x1660 $x1665) $x2157) $x2163)) (= $x1691 $x2163))))
-(let ((@x2229 (monotonicity (monotonicity @x2167 @x2223 (= $x1764 $x2224)) (= $x1768 (and $x1652 $x2224)))))
-(let ((@x2308 (monotonicity (trans @x2229 (rewrite (= (and $x1652 $x2224) $x2230)) (= $x1768 $x2230)) (trans @x2300 (rewrite (= (and $x1801 $x2295) $x2301)) (= $x1995 $x2301)) (= $x1999 $x2306))))
-(let ((?x1000 (* (- 1) ?x174)))
-(let ((?x1614 (fun_app$c v_b_SP_G_1$ ?x1613)))
-(let ((?x1620 (b_G$ (pair$ ?x1613 ?0))))
-(let (($x1622 (= (+ ?x1620 ?x1614 ?x1000) 0)))
-(let (($x1623 (and (not (>= (+ ?x1614 ?x1000) 0)) $x1618 $x1622)))
-(let (($x1626 (or $x1009 $x1623)))
-(let ((@x2126 (monotonicity (rewrite (= (+ ?x1620 ?x1614 ?x1000) (+ ?x1000 ?x1614 ?x1620))) (= $x1622 (= (+ ?x1000 ?x1614 ?x1620) 0)))))
-(let ((@x2133 (trans @x2126 (rewrite (= (= (+ ?x1000 ?x1614 ?x1620) 0) $x2129)) (= $x1622 $x2129))))
-(let ((@x2110 (monotonicity (rewrite (= (+ ?x1614 ?x1000) (+ ?x1000 ?x1614))) (= (>= (+ ?x1614 ?x1000) 0) (>= (+ ?x1000 ?x1614) 0)))))
-(let ((@x2117 (trans @x2110 (rewrite (= (>= (+ ?x1000 ?x1614) 0) $x2113)) (= (>= (+ ?x1614 ?x1000) 0) $x2113))))
-(let ((@x2136 (monotonicity (monotonicity @x2117 (= (not (>= (+ ?x1614 ?x1000) 0)) (not $x2113))) @x2133 (= $x1623 $x2134))))
-(let (($x1587 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128) (b_G$ (pair$ ?x1578 ?0))) 0)))
-(let (($x1588 (and (not (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)) $x1583 $x1587)))
-(let (($x1591 (or $x954 $x1588)))
-(let (($x2086 (= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578) (b_G$ (pair$ ?x1578 ?0))) 0)))
-(let (($x2084 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128) (b_G$ (pair$ ?x1578 ?0))) (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578) (b_G$ (pair$ ?x1578 ?0))))))
-(let ((@x2095 (trans (monotonicity (rewrite $x2084) (= $x1587 $x2086)) (rewrite (= $x2086 $x2091)) (= $x1587 $x2091))))
-(let (($x2081 (= (not (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)) (not $x2075))))
-(let (($x1581 (>= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) 0)))
-(let (($x2068 (= (+ (v_b_SP_G_0$ ?x1578) (* (- 1) ?x128)) (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)))))
-(let ((@x2072 (monotonicity (rewrite $x2068) (= $x1581 (>= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)) 0)))))
-(let ((@x2079 (trans @x2072 (rewrite (= (>= (+ (* (- 1) ?x128) (v_b_SP_G_0$ ?x1578)) 0) $x2075)) (= $x1581 $x2075))))
-(let ((@x2101 (monotonicity (monotonicity (monotonicity @x2079 $x2081) @x2095 (= $x1588 $x2096)) (= $x1591 $x2099))))
-(let ((@x2311 (monotonicity (quant-intro @x2101 (= $x1594 $x2102)) (quant-intro (monotonicity @x2136 (= $x1626 $x2137)) (= $x1629 $x2140)) (= $x1632 (and $x2102 $x173 $x1051 $x1045 $x997 $x2140)))))
-(let ((@x2314 (monotonicity @x2311 @x2308 (= $x2003 (and (and $x2102 $x173 $x1051 $x1045 $x997 $x2140) $x2306)))))
-(let ((@x2319 (trans @x2314 (rewrite (= (and (and $x2102 $x173 $x1051 $x1045 $x997 $x2140) $x2306) $x2315)) (= $x2003 $x2315))))
-(let ((@x2061 (monotonicity (rewrite (= $x1561 (and $x1539 $x1544))) (= $x1571 (and (and $x1539 $x1544) $x1567)))))
-(let ((@x2066 (trans @x2061 (rewrite (= (and (and $x1539 $x1544) $x1567) $x2062)) (= $x1571 $x2062))))
-(let ((@x2325 (monotonicity (monotonicity @x2066 @x2319 (= $x2007 $x2320)) (= $x2011 $x2323))))
-(let ((@x2050 (monotonicity (rewrite (= (+ ?x1521 ?x1523 ?x1514) ?x2045)) (= (>= (+ ?x1521 ?x1523 ?x1514) 0) $x2048))))
-(let ((@x2053 (monotonicity @x2050 (= (or $x1520 (>= (+ ?x1521 ?x1523 ?x1514) 0)) $x2051))))
-(let ((@x2328 (monotonicity (monotonicity @x2053 (= $x1527 $x2054)) @x2325 (= $x2015 $x2326))))
-(let ((@x2337 (monotonicity (monotonicity (monotonicity @x2328 (= $x2019 $x2329)) (= $x2023 $x2332)) (= $x2027 $x2335))))
-(let ((@x2343 (monotonicity (rewrite (= $x1471 $x145)) (monotonicity @x2337 (= $x2031 $x2338)) (= $x2035 $x2341))))
-(let (($x1926 (exists ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1912 (* (- 1) ?x1911)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
-(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(and (not (>= (+ ?x273 ?x1912) 0)) $x291 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x273 ?x1912) 0)))))))
-))
-(let ((@x1944 (nnf-neg (refl (~ $x1932 $x1932)) (nnf-neg (refl (~ $x1935 $x1935)) (~ (not $x1926) $x1938)) (~ (not (or (not (and $x1910 $x1915)) $x1926)) $x1942))))
-(let ((@x1946 (trans (sk (~ (not $x1329) (not (or (not (and $x1910 $x1915)) $x1926)))) @x1944 (~ (not $x1329) $x1942))))
-(let ((@x1907 (nnf-neg (nnf-pos (refl (~ $x1286 $x1286)) (~ $x1289 $x1289)) (~ (not $x1292) $x1289))))
-(let ((@x1954 (nnf-neg (sk (~ $x1292 $x1898)) (nnf-neg @x1907 @x1946 (~ (not $x1332) $x1947)) (~ (not $x1335) $x1951))))
-(let ((@x1880 (nnf-neg (nnf-pos (refl (~ $x1267 $x1267)) (~ $x1270 $x1270)) (~ (not $x1273) $x1270))))
-(let ((@x1962 (nnf-neg (sk (~ $x1273 $x1871)) (nnf-neg @x1880 @x1954 (~ (not $x1338) $x1955)) (~ (not $x1341) $x1959))))
-(let ((@x1857 (nnf-neg (nnf-pos (refl (~ (>= ?x273 0) (>= ?x273 0))) (~ $x1256 $x1256)) (~ (not $x1259) $x1256))))
-(let ((@x1970 (nnf-neg (sk (~ $x1259 $x1848)) (nnf-neg @x1857 @x1962 (~ (not $x1344) $x1963)) (~ (not $x1347) $x1967))))
-(let ((@x1978 (nnf-neg (refl (~ $x773 $x773)) (nnf-neg (refl (~ $x1842 $x1842)) @x1970 (~ (not $x1350) $x1971)) (~ (not $x1353) $x1975))))
-(let ((@x1839 (nnf-neg (nnf-pos (refl (~ (or $x300 $x278) (or $x300 $x278))) (~ $x652 $x652)) (~ (not $x785) $x652))))
-(let ((@x1986 (nnf-neg (sk (~ $x785 $x1830)) (nnf-neg @x1839 @x1978 (~ (not $x1356) $x1979)) (~ (not $x1359) $x1983))))
-(let ((@x1822 (nnf-neg (nnf-pos (refl (~ $x1243 $x1243)) (~ $x1247 $x1247)) (~ (not $x1250) $x1247))))
-(let ((@x1994 (nnf-neg (sk (~ $x1250 $x1813)) (nnf-neg @x1822 @x1986 (~ (not $x1362) $x1987)) (~ (not $x1365) $x1991))))
-(let ((@x1803 (monotonicity (sk (~ $x1080 (and $x1774 $x1779))) (refl (~ $x256 $x256)) (refl (~ $x1214 $x1214)) (nnf-pos (refl (~ $x1206 $x1206)) (~ $x1209 $x1209)) (refl (~ $x266 $x266)) (nnf-pos (refl (~ $x1190 $x1190)) (~ $x1193 $x1193)) (nnf-pos (refl (~ $x1196 $x1196)) (~ $x1199 $x1199)) (~ $x1235 $x1801))))
-(let ((@x1998 (nnf-neg (nnf-neg @x1803 (~ (not $x1240) $x1801)) @x1994 (~ (not $x1368) $x1995))))
-(let ((@x1748 (nnf-neg (nnf-pos (refl (~ $x1143 $x1143)) (~ $x1146 $x1146)) (~ (not $x1149) $x1146))))
-(let ((@x1759 (nnf-neg (sk (~ $x1149 $x1739)) (nnf-neg @x1748 (refl (~ $x1749 $x1749)) (~ (not $x1152) $x1752)) (~ (not $x1155) $x1756))))
-(let ((@x1715 (nnf-pos (monotonicity (refl (~ $x1106 $x1106)) (sk (~ $x1122 $x1707)) (~ $x1125 $x1710)) (~ $x1128 $x1713))))
-(let ((@x1763 (nnf-neg (nnf-neg @x1715 (~ (not $x1131) $x1713)) @x1759 (~ (not $x1158) $x1760))))
-(let (($x1676 (exists ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
-(let ((?x1662 (* (- 1) ?x1661)))
-(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
-(and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x230 ?x1662) 0))))))
-))
-(let ((@x1693 (nnf-neg (refl (~ $x1681 $x1681)) (nnf-neg (refl (~ $x1684 $x1684)) (~ (not $x1676) $x1687)) (~ (not (or (not (and $x1660 $x1665)) $x1676)) $x1691))))
-(let ((@x1695 (trans (sk (~ $x1131 (not (or (not (and $x1660 $x1665)) $x1676)))) @x1693 (~ $x1131 $x1691))))
-(let ((@x1654 (monotonicity (nnf-neg (refl (~ (not $x1077) (not $x1077))) (~ $x1083 $x1641)) (refl (~ $x212 $x212)) (refl (~ $x215 $x215)) (refl (~ $x217 $x217)) (refl (~ $x220 $x220)) (~ $x1089 $x1652))))
-(let ((@x1771 (nnf-neg (nnf-neg @x1654 (~ (not $x1094) $x1652)) (nnf-neg @x1695 @x1763 (~ (not $x1161) $x1764)) (~ (not $x1164) $x1768))))
-(let ((@x1631 (nnf-pos (monotonicity (refl (~ $x1009 $x1009)) (sk (~ $x1031 $x1623)) (~ $x1034 $x1626)) (~ $x1037 $x1629))))
-(let ((@x1596 (nnf-pos (monotonicity (refl (~ $x954 $x954)) (sk (~ $x974 $x1588)) (~ $x977 $x1591)) (~ $x980 $x1594))))
-(let ((@x1634 (monotonicity @x1596 (refl (~ $x173 $x173)) (nnf-pos (refl (~ (>= ?x174 0) (>= ?x174 0))) (~ $x1051 $x1051)) (nnf-pos (refl (~ $x1042 $x1042)) (~ $x1045 $x1045)) (nnf-pos (refl (~ $x994 $x994)) (~ $x997 $x997)) @x1631 (~ $x1069 $x1632))))
-(let ((@x2006 (nnf-neg (nnf-neg @x1634 (~ (not $x1074) $x1632)) (nnf-neg @x1771 @x1998 (~ (not $x1371) $x1999)) (~ (not $x1374) $x2003))))
-(let (($x1555 (exists ((?v1 B_Vertex$) )(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
-(let ((?x1541 (* (- 1) ?x1540)))
-(let ((?x128 (v_b_SP_G_0$ ?v1)))
-(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))
-))
-(let ((@x1573 (nnf-neg (refl (~ $x1561 $x1561)) (nnf-neg (refl (~ $x1564 $x1564)) (~ (not $x1555) $x1567)) (~ (not (or (not (and $x1539 $x1544)) $x1555)) $x1571))))
-(let ((@x1575 (trans (sk (~ (not $x980) (not (or (not (and $x1539 $x1544)) $x1555)))) @x1573 (~ (not $x980) $x1571))))
-(let ((@x1536 (nnf-neg (nnf-pos (refl (~ $x936 $x936)) (~ $x939 $x939)) (~ (not $x942) $x939))))
-(let ((@x2014 (nnf-neg @x1536 (nnf-neg @x1575 @x2006 (~ (not $x1377) $x2007)) (~ (not $x1380) $x2011))))
-(let ((@x1509 (nnf-neg (nnf-pos (refl (~ $x911 $x911)) (~ $x914 $x914)) (~ (not $x917) $x914))))
-(let ((@x2022 (nnf-neg @x1509 (nnf-neg (sk (~ $x942 $x1527)) @x2014 (~ (not $x1383) $x2015)) (~ (not $x1386) $x2019))))
-(let ((@x1486 (nnf-neg (nnf-pos (refl (~ (>= ?x128 0) (>= ?x128 0))) (~ $x899 $x899)) (~ (not $x902) $x899))))
-(let ((@x2030 (nnf-neg @x1486 (nnf-neg (sk (~ $x917 $x1500)) @x2022 (~ (not $x1389) $x2023)) (~ (not $x1392) $x2027))))
-(let ((@x2038 (nnf-neg (refl (~ $x1471 $x1471)) (nnf-neg (sk (~ $x902 $x1477)) @x2030 (~ (not $x1395) $x2031)) (~ (not $x1398) $x2035))))
-(let ((@x2042 (mp~ (not-or-elim (mp (asserted $x349) @x1411 $x1407) (not $x1401)) (nnf-neg (refl (~ $x869 $x869)) @x2038 (~ (not $x1401) $x2039)) $x2039)))
-(let ((@x3878 (mp (mp (mp @x2042 (monotonicity @x2343 (= $x2039 $x2344)) $x2344) @x3020 $x3018) (monotonicity @x3874 (= $x3018 $x3875)) $x3875)))
-(let ((@x4209 (unit-resolution @x3878 (lemma (unit-resolution @x5763 @x3492 (hypothesis $x869) false) $x145) $x3872)))
-(let ((@x4211 (unit-resolution (def-axiom (or $x3866 $x1477 $x3860)) (unit-resolution (def-axiom (or $x3869 $x3863)) @x4209 $x3863) (lemma @x6353 $x1476) $x3860)))
-(let ((@x6165 (unit-resolution ((_ quant-inst ?v0!2) (or (not $x3500) $x2348)) @x3505 (hypothesis $x1491) false)))
-(let ((@x4215 (unit-resolution (def-axiom (or $x3854 $x2368 $x3848)) (unit-resolution (def-axiom (or $x2363 $x1491)) (lemma @x6165 $x2348) $x2363) (unit-resolution (def-axiom (or $x3857 $x3851)) @x4211 $x3851) $x3848)))
-(let ((@x4217 (unit-resolution (def-axiom (or $x3842 $x2414 $x3836)) (unit-resolution (def-axiom (or $x3845 $x3839)) @x4215 $x3839) (unit-resolution (def-axiom (or $x2409 $x1512)) (lemma @x3073 $x2394) $x2409) $x3836)))
-(let ((@x4219 (unit-resolution (def-axiom (or $x3830 $x3544 $x3824)) (unit-resolution (def-axiom (or $x3833 $x3827)) @x4217 $x3827) (lemma @x5735 $x3541) $x3824)))
-(let ((@x5955 (unit-resolution (def-axiom (or $x3821 $x3556)) @x4219 $x3556)))
-(let (($x4373 (or $x3561 $x3904)))
-(let ((@x4363 ((_ quant-inst v_b_v_G_1$) $x4373)))
-(let ((@x5049 (unit-resolution @x4363 @x5955 $x3904)))
-(let ((?x5210 (pair$ v_b_v_G_1$ ?v0!15)))
-(let ((?x5018 (b_G$ ?x5210)))
-(let ((?x4456 (* (- 1) ?x1846)))
-(let ((?x6267 (+ ?x257 ?x4456 ?x5018)))
-(let (($x5853 (<= ?x6267 0)))
-(let (($x6128 (= ?x6267 0)))
-(let (($x6822 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!15)) ?x5018) 0)))
-(let (($x4911 (<= (+ b_Infinity$ (* (- 1) ?x5018)) 0)))
-(let (($x6706 (or $x4911 $x6822)))
-(let (($x6711 (not $x6706)))
-(let ((@x5703 (hypothesis $x1848)))
-(let (($x5745 (or (not (>= (+ ?x1846 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!15))) 0)) $x1847)))
-(let ((?x4480 (fun_app$c v_b_SP_G_1$ ?v0!15)))
-(let (($x5850 (>= ?x4480 0)))
-(let ((@x5698 ((_ th-lemma arith farkas -1 1 1) @x5703 (hypothesis (>= (+ ?x1846 (* (- 1) ?x4480)) 0)) (unit-resolution ((_ quant-inst ?v0!15) (or $x3561 $x5850)) @x5955 $x5850) false)))
-(let ((@x6183 (unit-resolution (lemma @x5698 $x5745) @x5703 (not (>= (+ ?x1846 (* (- 1) ?x4480)) 0)))))
-(let ((@x6242 ((_ th-lemma arith triangle-eq) (or (not (= ?x1846 ?x4480)) (>= (+ ?x1846 (* (- 1) ?x4480)) 0)))))
-(let ((@x4529 (unit-resolution (def-axiom (or $x3821 $x173)) @x4219 $x173)))
-(let ((@x5142 (hypothesis $x3657)))
-(let ((@x4265 (unit-resolution (def-axiom (or $x3654 $x217)) @x5142 $x217)))
-(let ((?x5667 (fun_app$c v_b_SP_G_1$ ?v1!10)))
-(let ((?x5152 (fun_app$c v_b_SP_G_1$ ?v0!11)))
-(let ((?x5630 (* (- 1) ?x5152)))
-(let (($x4072 (>= (+ ?x1727 ?x5630 ?x5667) 0)))
-(let (($x5699 (fun_app$ v_b_Visited_G_1$ ?v1!10)))
-(let (($x1725 (not $x1724)))
-(let ((@x4170 (hypothesis $x2650)))
-(let (($x4150 (>= (+ ?x1721 (* (- 1) ?x5667)) 0)))
-(let ((@x4195 (monotonicity (symm (hypothesis $x217) (= v_b_SP_G_1$ v_b_SP_G_3$)) (= ?x5667 ?x1721))))
-(let ((@x4203 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1721 ?x5667)) $x4150)) (symm @x4195 (= ?x1721 ?x5667)) $x4150)))
-(let (($x4167 (or (not (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)) (not $x4150) $x1724)))
-(let ((@x4163 ((_ th-lemma arith farkas 1 -1 1) (hypothesis $x4150) (hypothesis (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)) (hypothesis $x1725) false)))
-(let ((@x4204 (unit-resolution (lemma @x4163 $x4167) @x4203 (unit-resolution (def-axiom (or $x2645 $x1725)) @x4170 $x1725) (not (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)))))
-(let (($x6045 (<= (+ b_Infinity$ (* (- 1) ?x5667)) 0)))
-(let (($x5247 (or $x5699 $x6045)))
-(let ((@x3048 (mp ((_ quant-inst ?v1!10) (or $x3595 $x5247)) (rewrite (= (or $x3595 $x5247) (or $x3595 $x5699 $x6045))) (or $x3595 $x5699 $x6045))))
-(let ((@x4206 (unit-resolution (unit-resolution @x3048 (hypothesis $x3590) $x5247) @x4204 $x5699)))
-(let ((@x4223 (unit-resolution (def-axiom (or $x3821 $x3573)) @x4219 $x3573)))
-(let (($x5758 (not $x5699)))
-(let (($x4064 (or $x3578 $x5758 $x1730 $x4072)))
-(let (($x5845 (or $x5758 $x1730 (>= (+ ?x1727 ?x5667 ?x5630) 0))))
-(let (($x4065 (or $x3578 $x5845)))
-(let ((@x4061 (monotonicity (rewrite (= (+ ?x1727 ?x5667 ?x5630) (+ ?x1727 ?x5630 ?x5667))) (= (>= (+ ?x1727 ?x5667 ?x5630) 0) $x4072))))
-(let ((@x4102 (monotonicity (monotonicity @x4061 (= $x5845 (or $x5758 $x1730 $x4072))) (= $x4065 (or $x3578 (or $x5758 $x1730 $x4072))))))
-(let ((@x4106 (trans @x4102 (rewrite (= (or $x3578 (or $x5758 $x1730 $x4072)) $x4064)) (= $x4065 $x4064))))
-(let ((@x4225 (unit-resolution (mp ((_ quant-inst ?v0!11 ?v1!10) $x4065) @x4106 $x4064) @x4223 (unit-resolution (def-axiom (or $x2645 (not $x1730))) @x4170 (not $x1730)) (or $x5758 $x4072))))
-(let ((@x4228 (monotonicity (symm (hypothesis $x217) (= v_b_SP_G_1$ v_b_SP_G_3$)) (= ?x5152 ?x1734))))
-(let ((@x4234 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1734 ?x5152)) (<= (+ ?x1734 ?x5630) 0))) (symm @x4228 (= ?x1734 ?x5152)) (<= (+ ?x1734 ?x5630) 0))))
-(let ((@x4235 ((_ th-lemma arith farkas -1 -1 1 1) @x4234 (unit-resolution (def-axiom (or $x2645 (not $x2209))) @x4170 (not $x2209)) @x4203 (unit-resolution @x4225 @x4206 $x4072) false)))
-(let ((@x4885 (unit-resolution (lemma @x4235 (or $x2645 $x3595 $x2708)) @x4265 (unit-resolution (def-axiom (or $x3654 $x3590)) @x5142 $x3590) $x2645)))
-(let (($x4595 (<= (+ ?x1661 (* (- 1) (fun_app$c v_b_SP_G_3$ (?v1!7 ?v0!8)))) 0)))
-(let ((?x3922 (?v1!7 ?v0!8)))
-(let ((?x3910 (fun_app$c v_b_SP_G_1$ ?x3922)))
-(let ((?x3989 (* (- 1) ?x3910)))
-(let ((?x3142 (fun_app$c v_b_SP_G_1$ ?v0!8)))
-(let (($x3936 (<= (+ ?x3142 ?x3989) 0)))
-(let (($x4266 (not $x3936)))
-(let ((?x3945 (pair$ ?x3922 ?v0!8)))
-(let ((?x3946 (b_G$ ?x3945)))
-(let ((?x3031 (* (- 1) ?x3946)))
-(let ((?x3056 (+ ?x3142 ?x3989 ?x3031)))
-(let (($x3032 (= ?x3056 0)))
-(let (($x3033 (not $x3032)))
-(let (($x3034 (or $x3936 (not (fun_app$ v_b_Visited_G_1$ ?x3922)) $x3033)))
-(let (($x3049 (not $x3034)))
-(let ((@x3978 (hypothesis $x1665)))
-(let ((?x3144 (* (- 1) ?x3142)))
-(let ((?x3984 (+ ?x1661 ?x3144)))
-(let (($x3969 (>= ?x3984 0)))
-(let ((@x4544 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1661 ?x3142)) $x3969)) (monotonicity @x4265 (= ?x1661 ?x3142)) $x3969)))
-(let ((@x3973 ((_ th-lemma arith farkas 1 -1 1) (hypothesis $x3969) (hypothesis (<= (+ b_Infinity$ ?x3144) 0)) @x3978 false)))
-(let ((@x4027 (lemma @x3973 (or (not (<= (+ b_Infinity$ ?x3144) 0)) (not $x3969) $x1664))))
-(let ((@x4552 (unit-resolution @x4027 @x4544 @x3978 (not (<= (+ b_Infinity$ ?x3144) 0)))))
-(let ((@x3425 (def-axiom (or $x3630 $x1749))))
-(let ((@x4543 (unit-resolution @x3425 (trans (monotonicity @x4265 (= ?x245 ?x172)) @x4529 $x246) $x3630)))
-(let ((@x3134 (def-axiom (or $x3639 $x2650 $x3633))))
-(let ((@x3138 (def-axiom (or $x3642 $x3636))))
-(let ((@x3120 (def-axiom (or $x3651 $x3611 $x3645))))
-(let ((@x4905 (unit-resolution @x3120 (unit-resolution @x3138 (unit-resolution @x3134 @x4543 @x4885 $x3639) $x3642) (unit-resolution (def-axiom (or $x3654 $x3648)) @x5142 $x3648) $x3611)))
-(let ((@x4545 (unit-resolution (def-axiom (or $x3821 $x3581)) @x4219 $x3581)))
-(let (($x4738 (= (or $x3586 (or $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049)) (or $x3586 $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049))))
-(let ((@x4737 ((_ quant-inst ?v0!8) (or $x3586 (or $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049)))))
-(let ((@x5209 (mp @x4737 (rewrite $x4738) (or $x3586 $x1659 (<= (+ b_Infinity$ ?x3144) 0) $x3049))))
-(let ((@x4406 (unit-resolution @x5209 @x4545 (unit-resolution (def-axiom (or $x3608 $x1660)) @x4905 $x1660) @x4552 $x3049)))
-(let ((?x3126 (fun_app$c v_b_SP_G_3$ ?x3922)))
-(let ((?x4327 (+ ?x3126 ?x3989)))
-(let (($x4402 (<= ?x4327 0)))
-(let ((@x4541 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3126 ?x3910)) $x4402)) (monotonicity @x4265 (= ?x3126 ?x3910)) $x4402)))
-(let ((@x4852 ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x3969) (hypothesis $x4595) (hypothesis $x4402) (hypothesis $x4266) false)))
-(let ((@x4542 (unit-resolution (lemma @x4852 (or (not $x4595) (not $x3969) (not $x4402) $x3936)) @x4544 @x4541 (unit-resolution (def-axiom (or $x3034 $x4266)) @x4406 $x4266) (not $x4595))))
-(let ((?x5182 (* (- 1) ?x3126)))
-(let ((?x4179 (+ ?x1661 ?x5182 ?x3031)))
-(let (($x5089 (= ?x4179 0)))
-(let (($x3918 (>= ?x4179 0)))
-(let (($x5284 (>= ?x3056 0)))
-(let ((@x4264 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3033 $x5284)) (unit-resolution (def-axiom (or $x3034 $x3032)) @x4406 $x3032) $x5284)))
-(let ((@x5267 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 1) (or $x3918 (not $x5284) (not $x3969) (not $x4402))) @x4264 @x4544 @x4541 $x3918)))
-(let (($x3917 (<= ?x4179 0)))
-(let (($x4407 (>= ?x4327 0)))
-(let ((@x4549 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3126 ?x3910)) $x4407)) (monotonicity @x4265 (= ?x3126 ?x3910)) $x4407)))
-(let (($x3979 (<= ?x3984 0)))
-(let ((@x6239 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1661 ?x3142)) $x3979)) (monotonicity @x4265 (= ?x1661 ?x3142)) $x3979)))
-(let (($x5179 (<= ?x3056 0)))
-(let ((@x3960 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3033 $x5179)) (unit-resolution (def-axiom (or $x3034 $x3032)) @x4406 $x3032) $x5179)))
-(let ((@x4631 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 1) (or $x3917 (not $x5179) (not $x3979) (not $x4407))) @x3960 @x6239 @x4549 $x3917)))
-(let ((@x4760 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x5089 (not $x3917) (not $x3918))) @x4631 @x5267 $x5089)))
-(let (($x4746 (not $x5089)))
-(let (($x4181 (or $x4595 $x4746)))
-(let (($x3184 (or $x3605 $x4595 $x4746)))
-(let (($x5980 (>= (+ ?x3126 ?x1662) 0)))
-(let (($x5913 (or $x5980 (not (= (+ ?x3126 ?x1662 ?x3946) 0)))))
-(let (($x3976 (or $x3605 $x5913)))
-(let ((@x4178 (monotonicity (rewrite (= (+ ?x3126 ?x1662 ?x3946) (+ ?x1662 ?x3126 ?x3946))) (= (= (+ ?x3126 ?x1662 ?x3946) 0) (= (+ ?x1662 ?x3126 ?x3946) 0)))))
-(let ((@x4745 (trans @x4178 (rewrite (= (= (+ ?x1662 ?x3126 ?x3946) 0) $x5089)) (= (= (+ ?x3126 ?x1662 ?x3946) 0) $x5089))))
-(let ((@x5181 (monotonicity (rewrite (= (+ ?x3126 ?x1662) (+ ?x1662 ?x3126))) (= $x5980 (>= (+ ?x1662 ?x3126) 0)))))
-(let ((@x4634 (trans @x5181 (rewrite (= (>= (+ ?x1662 ?x3126) 0) $x4595)) (= $x5980 $x4595))))
-(let ((@x4184 (monotonicity @x4634 (monotonicity @x4745 (= (not (= (+ ?x3126 ?x1662 ?x3946) 0)) $x4746)) (= $x5913 $x4181))))
-(let ((@x3916 (trans (monotonicity @x4184 (= $x3976 (or $x3605 $x4181))) (rewrite (= (or $x3605 $x4181) $x3184)) (= $x3976 $x3184))))
-(let ((@x5060 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!8)) $x3976) @x3916 $x3184) (unit-resolution (def-axiom (or $x3608 $x3600)) @x4905 $x3600) $x4181)))
-(let ((@x6153 (unit-resolution (lemma (unit-resolution @x5060 @x4760 @x4542 false) (or $x3654 $x1664)) @x5142 $x1664)))
-(let ((@x6273 (unit-resolution @x3120 (unit-resolution (def-axiom (or $x3608 $x1665)) @x6153 $x3608) (unit-resolution (def-axiom (or $x3654 $x3648)) @x5142 $x3648) $x3645)))
-(let ((@x5939 (unit-resolution @x3425 (unit-resolution @x3134 (unit-resolution @x3138 @x6273 $x3636) @x4885 $x3633) $x1749)))
-(let ((@x5914 (unit-resolution @x5939 (trans (monotonicity @x4265 (= ?x245 ?x172)) @x4529 $x246) false)))
-(let ((@x6386 (unit-resolution (def-axiom (or $x3818 $x3657 $x3812)) (unit-resolution (def-axiom (or $x3821 $x3815)) @x4219 $x3815) $x3815)))
-(let ((@x6181 (unit-resolution @x6386 (lemma @x5914 $x3654) $x3812)))
-(let ((@x5944 (unit-resolution (def-axiom (or $x3809 $x3678)) @x6181 $x3678)))
-(let (($x4481 (= ?x1846 ?x4480)))
-(let (($x3188 (or $x3683 $x6711 $x4481)))
-(let (($x5285 (or (not (or $x4911 (<= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) 0))) $x4481)))
-(let (($x6363 (or $x3683 $x5285)))
-(let (($x5370 (<= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) 0)))
-(let ((@x4465 (rewrite (= (+ ?x4480 ?x1173 (* (- 1) ?x5018)) (+ ?x1173 ?x4480 (* (- 1) ?x5018))))))
-(let ((@x6818 (monotonicity @x4465 (= $x5370 (<= (+ ?x1173 ?x4480 (* (- 1) ?x5018)) 0)))))
-(let ((@x6705 (trans @x6818 (rewrite (= (<= (+ ?x1173 ?x4480 (* (- 1) ?x5018)) 0) $x6822)) (= $x5370 $x6822))))
-(let ((@x5840 (monotonicity (monotonicity @x6705 (= (or $x4911 $x5370) $x6706)) (= (not (or $x4911 $x5370)) $x6711))))
-(let ((@x6545 (monotonicity (monotonicity @x5840 (= $x5285 (or $x6711 $x4481))) (= $x6363 (or $x3683 (or $x6711 $x4481))))))
-(let ((@x4811 (trans @x6545 (rewrite (= (or $x3683 (or $x6711 $x4481)) $x3188)) (= $x6363 $x3188))))
-(let ((@x6726 (unit-resolution (mp ((_ quant-inst ?v0!15) $x6363) @x4811 $x3188) @x5944 (unit-resolution @x6242 @x6183 (not $x4481)) $x6711)))
-(let ((@x6470 (unit-resolution (def-axiom (or $x6706 (not $x4911))) (hypothesis $x6711) (not $x4911))))
-(let ((@x6494 (unit-resolution (def-axiom (or $x6706 (not $x6822))) (hypothesis $x6711) (not $x6822))))
-(let (($x6511 (or $x4911 $x6822 $x6128)))
-(let ((@x6588 (unit-resolution (def-axiom (or $x3809 $x3670)) @x6181 $x3670)))
-(let (($x6235 (or $x3675 $x4911 $x6822 $x6128)))
-(let (($x6510 (or $x4911 $x5370 (= (+ ?x257 ?x5018 ?x4456) 0))))
-(let (($x6263 (or $x3675 $x6510)))
-(let ((@x6480 (monotonicity (rewrite (= (+ ?x257 ?x5018 ?x4456) ?x6267)) (= (= (+ ?x257 ?x5018 ?x4456) 0) $x6128))))
-(let ((@x4472 (monotonicity (monotonicity @x6705 @x6480 (= $x6510 $x6511)) (= $x6263 (or $x3675 $x6511)))))
-(let ((@x5852 (mp ((_ quant-inst ?v0!15) $x6263) (trans @x4472 (rewrite (= (or $x3675 $x6511) $x6235)) (= $x6263 $x6235)) $x6235)))
-(let ((@x6501 (unit-resolution (unit-resolution @x5852 @x6588 $x6511) @x6494 @x6470 (hypothesis (not $x6128)) false)))
-(let ((@x4608 (lemma @x6501 (or $x6706 $x6128))))
-(let ((@x6959 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6128) $x5853)) (unit-resolution @x4608 @x6726 $x6128) $x5853)))
-(let (($x6603 (>= ?x5018 0)))
-(let (($x6582 (<= ?x5018 0)))
-(let (($x6583 (not $x6582)))
-(let (($x6156 (= v_b_v_G_1$ ?v0!15)))
-(let (($x5538 (not $x6156)))
-(let ((@x7337 (symm (commutativity (= $x6156 (= ?v0!15 v_b_v_G_1$))) (= (= ?v0!15 v_b_v_G_1$) $x6156))))
-(let (($x6631 (= ?v0!15 v_b_v_G_1$)))
-(let (($x7483 (not $x6631)))
-(let (($x6269 (fun_app$ v_b_Visited_G_1$ ?v0!15)))
-(let (($x7698 (or $x6631 $x6269)))
-(let (($x6630 (fun_app$ ?x265 ?v0!15)))
-(let (($x7702 (= $x6630 $x7698)))
-(let (($x3468 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(!(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
-(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))) :pattern ( (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3) )))
-))
-(let (($x77 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
-(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))))
-))
-(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?3) ?2) ?1) ?0)))
-(let (($x74 (= $x67 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0)))))
-(let (($x72 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(let (($x67 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
-(= $x67 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))))
-))
-(let ((@x76 (rewrite (= (= $x67 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0))) $x74))))
-(let ((@x1443 (mp~ (mp (asserted $x72) (quant-intro @x76 (= $x72 $x77)) $x77) (nnf-pos (refl (~ $x74 $x74)) (~ $x77 $x77)) $x77)))
-(let ((@x3473 (mp @x1443 (quant-intro (refl (= $x74 $x74)) (= $x77 $x3468)) $x3468)))
-(let (($x4114 (not $x3468)))
-(let (($x6435 (or $x4114 $x7702)))
-(let ((@x5925 (monotonicity (rewrite (= (ite $x6631 true $x6269) $x7698)) (= (= $x6630 (ite $x6631 true $x6269)) $x7702))))
-(let ((@x6213 (monotonicity @x5925 (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
-(let ((@x7487 (trans @x6213 (rewrite (= $x6435 $x6435)) (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
-(let ((@x7488 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!15) (or $x4114 (= $x6630 (ite $x6631 true $x6269)))) @x7487 $x6435)))
-(let ((@x5875 (symm (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (= ?x265 v_b_Visited_G_2$))))
-(let ((@x7321 (symm (monotonicity @x5875 (= $x6630 (fun_app$ v_b_Visited_G_2$ ?v0!15))) (= (fun_app$ v_b_Visited_G_2$ ?v0!15) $x6630))))
-(let ((@x7322 (monotonicity @x7321 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!15)) (not $x6630)))))
-(let (($x4415 (fun_app$ v_b_Visited_G_2$ ?v0!15)))
-(let (($x4479 (not $x4415)))
-(let ((?x5054 (b_G$ (pair$ v_b_v_G_1$ ?v0!13))))
-(let ((?x4706 (+ ?x257 ?x1810 ?x5054)))
-(let (($x4687 (= ?x4706 0)))
-(let (($x5187 (>= (+ ?x257 (* (- 1) ?x1808) ?x5054) 0)))
-(let (($x5051 (<= (+ b_Infinity$ (* (- 1) ?x5054)) 0)))
-(let (($x5186 (or $x5051 $x5187)))
-(let (($x5221 (not $x5186)))
-(let ((@x5744 (monotonicity (commutativity (= (= ?x1808 ?x1809) (= ?x1809 ?x1808))) (= (not (= ?x1808 ?x1809)) (not (= ?x1809 ?x1808))))))
-(let (($x5690 (not (= ?x1808 ?x1809))))
-(let ((@x5726 (mp (unit-resolution ((_ th-lemma arith triangle-eq) (or $x5690 $x1812)) (hypothesis $x1813) $x5690) @x5744 (not (= ?x1809 ?x1808)))))
-(let (($x5270 (= ?x1809 ?x1808)))
-(let (($x5230 (or $x5221 $x5270)))
-(let ((@x4739 (hypothesis $x3678)))
-(let (($x5327 (or $x3683 $x5221 $x5270)))
-(let (($x5333 (or (not (or $x5051 (<= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) 0))) $x5270)))
-(let (($x5268 (or $x3683 $x5333)))
-(let (($x5095 (<= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) 0)))
-(let ((@x5120 (rewrite (= (+ ?x1808 ?x1173 (* (- 1) ?x5054)) (+ ?x1173 ?x1808 (* (- 1) ?x5054))))))
-(let ((@x5127 (monotonicity @x5120 (= $x5095 (<= (+ ?x1173 ?x1808 (* (- 1) ?x5054)) 0)))))
-(let ((@x4705 (trans @x5127 (rewrite (= (<= (+ ?x1173 ?x1808 (* (- 1) ?x5054)) 0) $x5187)) (= $x5095 $x5187))))
-(let ((@x5229 (monotonicity (monotonicity @x4705 (= (or $x5051 $x5095) $x5186)) (= (not (or $x5051 $x5095)) $x5221))))
-(let ((@x5269 (monotonicity (monotonicity @x5229 (= $x5333 $x5230)) (= $x5268 (or $x3683 $x5230)))))
-(let ((@x5432 (mp ((_ quant-inst ?v0!13) $x5268) (trans @x5269 (rewrite (= (or $x3683 $x5230) $x5327)) (= $x5268 $x5327)) $x5327)))
-(let ((@x5729 (unit-resolution (def-axiom (or $x5186 (not $x5051))) (unit-resolution (unit-resolution @x5432 @x4739 $x5230) @x5726 $x5221) (not $x5051))))
-(let ((@x5749 (unit-resolution (def-axiom (or $x5186 (not $x5187))) (unit-resolution (unit-resolution @x5432 @x4739 $x5230) @x5726 $x5221) (not $x5187))))
-(let (($x5211 (or $x5051 $x5187 $x4687)))
-(let ((@x5807 (hypothesis $x3670)))
-(let (($x5189 (or $x3675 $x5051 $x5187 $x4687)))
-(let (($x5102 (or $x5051 $x5095 (= (+ ?x257 ?x5054 ?x1810) 0))))
-(let (($x5163 (or $x3675 $x5102)))
-(let ((@x5164 (monotonicity (rewrite (= (+ ?x257 ?x5054 ?x1810) ?x4706)) (= (= (+ ?x257 ?x5054 ?x1810) 0) $x4687))))
-(let ((@x5215 (monotonicity (monotonicity @x4705 @x5164 (= $x5102 $x5211)) (= $x5163 (or $x3675 $x5211)))))
-(let ((@x5376 (mp ((_ quant-inst ?v0!13) $x5163) (trans @x5215 (rewrite (= (or $x3675 $x5211) $x5189)) (= $x5163 $x5189)) $x5189)))
-(let ((@x5714 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4687) (>= ?x4706 0))) (unit-resolution (unit-resolution @x5376 @x5807 $x5211) @x5749 @x5729 $x4687) (>= ?x4706 0))))
-(let ((@x5723 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (<= ?x1811 0) $x1812)) (hypothesis $x1813) (<= ?x1811 0))))
-(let ((@x6888 (unit-resolution (lemma ((_ th-lemma arith farkas 1 -1 1) @x5723 @x5749 @x5714 false) (or $x1812 $x3675 $x3683)) @x6588 @x5944 $x1812)))
-(let ((@x6891 (unit-resolution (def-axiom (or $x3806 $x1813 $x3800)) @x6888 (unit-resolution (def-axiom (or $x3809 $x3803)) @x6181 $x3803) $x3800)))
-(let (($x6050 (= ?v0!14 v_b_v_G_1$)))
-(let (($x5678 (fun_app$ v_b_Visited_G_1$ ?v0!14)))
-(let (($x4963 (or $x6050 $x5678)))
-(let (($x6049 (fun_app$ ?x265 ?v0!14)))
-(let (($x6452 (= $x6049 $x4963)))
-(let (($x5869 (or $x4114 $x6452)))
-(let ((@x6355 (monotonicity (rewrite (= (ite $x6050 true $x5678) $x4963)) (= (= $x6049 (ite $x6050 true $x5678)) $x6452))))
-(let ((@x5854 (monotonicity @x6355 (= (or $x4114 (= $x6049 (ite $x6050 true $x5678))) $x5869))))
-(let ((@x6366 (trans @x5854 (rewrite (= $x5869 $x5869)) (= (or $x4114 (= $x6049 (ite $x6050 true $x5678))) $x5869))))
-(let ((@x6233 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!14) (or $x4114 (= $x6049 (ite $x6050 true $x5678)))) @x6366 $x5869)))
-(let ((@x6372 (symm (monotonicity @x5875 (= $x6049 (fun_app$ v_b_Visited_G_2$ ?v0!14))) (= (fun_app$ v_b_Visited_G_2$ ?v0!14) $x6049))))
-(let (($x1824 (fun_app$ v_b_Visited_G_2$ ?v0!14)))
-(let ((@x4837 (mp (unit-resolution (def-axiom (or $x1829 $x1824)) (hypothesis $x1830) $x1824) @x6372 $x6049)))
-(let ((@x5037 (unit-resolution (def-axiom (or (not $x6452) (not $x6049) $x4963)) @x4837 (unit-resolution @x6233 @x3473 $x6452) $x4963)))
-(let (($x4290 (not $x5678)))
-(let ((?x5658 (* (- 1) ?x1827)))
-(let ((?x4907 (+ ?x257 ?x5658)))
-(let (($x6523 (>= ?x4907 0)))
-(let (($x6556 (not $x6523)))
-(let (($x4887 (>= (+ ?x257 ?x5658 (b_G$ (pair$ v_b_v_G_1$ ?v0!14))) 0)))
-(let (($x4812 (not $x4887)))
-(let (($x4783 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x5110 (or $x4783 $x4887)))
-(let (($x5079 (not $x5110)))
-(let ((@x5065 (unit-resolution (def-axiom (or $x1829 (not $x1828))) (hypothesis $x1830) (not $x1828))))
-(let (($x4844 (or $x3683 $x5079 $x1828)))
-(let (($x4891 (<= (+ ?x1827 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x5552 (or (not (or $x4783 $x4891)) $x1828)))
-(let (($x4766 (or $x3683 $x5552)))
-(let (($x4493 (<= (+ ?x1173 ?x1827 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x5019 (= (+ ?x1827 ?x1173 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) (+ ?x1173 ?x1827 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))))))
-(let ((@x5288 (trans (monotonicity (rewrite $x5019) (= $x4891 $x4493)) (rewrite (= $x4493 $x4887)) (= $x4891 $x4887))))
-(let ((@x5082 (monotonicity (monotonicity @x5288 (= (or $x4783 $x4891) $x5110)) (= (not (or $x4783 $x4891)) $x5079))))
-(let ((@x5868 (monotonicity (monotonicity @x5082 (= $x5552 (or $x5079 $x1828))) (= $x4766 (or $x3683 (or $x5079 $x1828))))))
-(let ((@x5811 (trans @x5868 (rewrite (= (or $x3683 (or $x5079 $x1828)) $x4844)) (= $x4766 $x4844))))
-(let ((@x6433 (unit-resolution (def-axiom (or $x5110 $x4812)) (unit-resolution (mp ((_ quant-inst ?v0!14) $x4766) @x5811 $x4844) @x5944 @x5065 $x5079) $x4812)))
-(let ((?x6047 (pair$ v_b_v_G_1$ ?v0!14)))
-(let ((?x6491 (b_G$ ?x6047)))
-(let (($x5826 (>= ?x6491 0)))
-(let ((@x6283 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6491 0)) $x5826)) (hypothesis (not $x5826)) (not (= ?x6491 0)))))
-(let (($x5742 (= v_b_v_G_1$ ?v0!14)))
-(let (($x5751 (<= ?x6491 0)))
-(let ((@x6302 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x5826 $x5751)) (hypothesis (not $x5826)) $x5751)))
-(let (($x5738 (or $x5742 (not $x5751))))
-(let (($x3480 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let (($x84 (= ?v0 ?v1)))
-(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :pattern ( (pair$ ?v0 ?v1) )))
-))
-(let (($x120 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x84 (= ?v0 ?v1)))
-(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))))
-))
-(let (($x84 (= ?1 ?0)))
-(let (($x117 (or $x84 (not (<= (b_G$ (pair$ ?1 ?0)) 0)))))
-(let (($x105 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x29 (pair$ ?v0 ?v1)))
-(let ((?x85 (b_G$ ?x29)))
-(let (($x102 (< 0 ?x85)))
-(=> (not (= ?v0 ?v1)) $x102)))))
-))
-(let (($x110 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x29 (pair$ ?v0 ?v1)))
-(let ((?x85 (b_G$ ?x29)))
-(let (($x102 (< 0 ?x85)))
-(let (($x84 (= ?v0 ?v1)))
-(or $x84 $x102))))))
-))
-(let ((?x29 (pair$ ?1 ?0)))
-(let ((?x85 (b_G$ ?x29)))
-(let (($x102 (< 0 ?x85)))
-(let ((@x119 (monotonicity (rewrite (= $x102 (not (<= ?x85 0)))) (= (or $x84 $x102) $x117))))
-(let ((@x112 (quant-intro (rewrite (= (=> (not $x84) $x102) (or $x84 $x102))) (= $x105 $x110))))
-(let ((@x125 (mp (asserted $x105) (trans @x112 (quant-intro @x119 (= $x110 $x120)) (= $x105 $x120)) $x120)))
-(let ((@x3485 (mp (mp~ @x125 (nnf-pos (refl (~ $x117 $x117)) (~ $x120 $x120)) $x120) (quant-intro (refl (= $x117 $x117)) (= $x120 $x3480)) $x3480)))
-(let ((@x5780 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3480) $x5738)) (rewrite (= (or (not $x3480) $x5738) (or (not $x3480) $x5742 (not $x5751)))) (or (not $x3480) $x5742 (not $x5751)))))
-(let (($x5739 (= ?x6491 0)))
-(let (($x5781 (or (not $x5742) $x5739)))
-(let (($x3474 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :pattern ( (pair$ ?v0 ?v1) )))
-))
-(let (($x99 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)))
-))
-(let ((@x3476 (refl (= (or (not $x84) (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
-(let ((@x1447 (refl (~ (or (not $x84) (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
-(let (($x93 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x84 (= ?v0 ?v1)))
-(=> $x84 (= (b_G$ (pair$ ?v0 ?v1)) 0))))
-))
-(let ((@x98 (rewrite (= (=> $x84 (= ?x85 0)) (or (not $x84) (= ?x85 0))))))
-(let ((@x1448 (mp~ (mp (asserted $x93) (quant-intro @x98 (= $x93 $x99)) $x99) (nnf-pos @x1447 (~ $x99 $x99)) $x99)))
-(let ((@x3479 (mp @x1448 (quant-intro @x3476 (= $x99 $x3474)) $x3474)))
-(let ((@x5817 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3474) $x5781)) (rewrite (= (or (not $x3474) $x5781) (or (not $x3474) (not $x5742) $x5739))) (or (not $x3474) (not $x5742) $x5739))))
-(let ((@x6306 (unit-resolution (unit-resolution @x5817 @x3479 $x5781) (unit-resolution (unit-resolution @x5780 @x3485 $x5738) @x6302 $x5742) @x6283 false)))
-(let ((@x6555 ((_ th-lemma arith farkas 1 -1 1) (lemma @x6306 $x5826) (hypothesis $x4812) (hypothesis $x6523) false)))
-(let ((@x6225 (unit-resolution (def-axiom (or $x3809 $x256)) @x6181 $x256)))
-(let ((@x5748 (unit-resolution (def-axiom (or $x3821 $x3565)) @x4219 $x3565)))
-(let ((@x6018 (rewrite (= (or $x3570 (or $x255 $x4290 $x6523)) (or $x3570 $x255 $x4290 $x6523)))))
-(let ((@x6055 (mp ((_ quant-inst ?v0!14 v_b_v_G_1$) (or $x3570 (or $x255 $x4290 $x6523))) @x6018 (or $x3570 $x255 $x4290 $x6523))))
-(let ((@x6222 (unit-resolution @x6055 @x5748 @x6225 (hypothesis $x5678) (hypothesis $x6556) false)))
-(let ((@x5057 (unit-resolution (lemma @x6222 (or $x4290 $x6523)) (unit-resolution (lemma @x6555 (or $x6556 $x4887)) @x6433 $x6556) $x4290)))
-(let ((@x6293 (monotonicity (unit-resolution (def-axiom (or (not $x4963) $x6050 $x5678)) @x5057 @x5037 $x6050) (= ?x1827 ?x257))))
-(let (($x3052 (= ?x3104 ?x257)))
-(let ((?x3130 (pair$ v_b_v_G_1$ v_b_v_G_1$)))
-(let ((?x3096 (b_G$ ?x3130)))
-(let (($x3079 (>= ?x3096 0)))
-(let (($x3088 (<= (+ b_Infinity$ (* (- 1) ?x3096)) 0)))
-(let (($x4242 (or $x3088 $x3079)))
-(let (($x4785 (= ?x3096 0)))
-(let (($x3151 (not $x3474)))
-(let (($x4816 (or $x3151 $x4785)))
-(let ((@x4770 (monotonicity (rewrite (= (= v_b_v_G_1$ v_b_v_G_1$) true)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) (not true)))))
-(let ((@x4775 (trans @x4770 (rewrite (= (not true) false)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) false))))
-(let ((@x4767 (monotonicity @x4775 (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785) (or false $x4785)))))
-(let ((@x4773 (trans @x4767 (rewrite (= (or false $x4785) $x4785)) (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785) $x4785))))
-(let ((@x4820 (monotonicity @x4773 (= (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785)) $x4816))))
-(let ((@x4821 (trans @x4820 (rewrite (= $x4816 $x4816)) (= (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785)) $x4816))))
-(let ((@x4822 (mp ((_ quant-inst v_b_v_G_1$ v_b_v_G_1$) (or $x3151 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x4785))) @x4821 $x4816)))
-(let ((@x4849 (lemma (unit-resolution @x4822 @x3479 (hypothesis (not $x4785)) false) $x4785)))
-(let ((@x6019 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4785) $x3079)) @x4849 $x3079)))
-(let ((@x4316 (def-axiom (or $x4242 (not $x3079)))))
-(let (($x4245 (not $x4242)))
-(let (($x3975 (or $x3683 $x4245 $x3052)))
-(let (($x3053 (or (not (or $x3088 (<= (+ ?x257 ?x1173 (* (- 1) ?x3096)) 0))) $x3052)))
-(let (($x3958 (or $x3683 $x3053)))
-(let (($x3103 (<= (+ ?x257 ?x1173 (* (- 1) ?x3096)) 0)))
-(let ((@x4023 (monotonicity (rewrite (= (+ ?x257 ?x1173 (* (- 1) ?x3096)) (* (- 1) ?x3096))) (= $x3103 (<= (* (- 1) ?x3096) 0)))))
-(let ((@x4044 (trans @x4023 (rewrite (= (<= (* (- 1) ?x3096) 0) $x3079)) (= $x3103 $x3079))))
-(let ((@x4247 (monotonicity (monotonicity @x4044 (= (or $x3088 $x3103) $x4242)) (= (not (or $x3088 $x3103)) $x4245))))
-(let ((@x4254 (monotonicity (monotonicity @x4247 (= $x3053 (or $x4245 $x3052))) (= $x3958 (or $x3683 (or $x4245 $x3052))))))
-(let ((@x4258 (trans @x4254 (rewrite (= (or $x3683 (or $x4245 $x3052)) $x3975)) (= $x3958 $x3975))))
-(let ((@x4259 (mp ((_ quant-inst v_b_v_G_1$) $x3958) @x4258 $x3975)))
-(let ((@x6268 (monotonicity (unit-resolution (def-axiom (or (not $x4963) $x6050 $x5678)) @x5057 @x5037 $x6050) (= ?x1826 ?x3104))))
-(let ((@x6107 (trans @x6268 (unit-resolution @x4259 @x5944 (unit-resolution @x4316 @x6019 $x4242) $x3052) (= ?x1826 ?x257))))
-(let ((@x6162 (unit-resolution @x5065 (trans @x6107 (symm @x6293 (= ?x257 ?x1827)) $x1828) false)))
-(let ((@x7615 (unit-resolution (def-axiom (or $x3794 $x1830 $x3788)) (lemma @x6162 $x1829) (unit-resolution (def-axiom (or $x3797 $x3791)) @x6891 $x3791) $x3788)))
-(let ((@x7616 (unit-resolution (def-axiom (or $x3785 $x3695)) @x7615 $x3695)))
-(let ((@x7443 (mp ((_ quant-inst ?v0!15) (or $x3700 (or $x4479 $x4481))) (rewrite (= (or $x3700 (or $x4479 $x4481)) (or $x3700 $x4479 $x4481))) (or $x3700 $x4479 $x4481))))
-(let ((@x7323 (mp (unit-resolution @x7443 @x7616 (unit-resolution @x6242 @x6183 (not $x4481)) $x4479) @x7322 (not $x6630))))
-(let ((@x7334 (unit-resolution (def-axiom (or (not $x7702) $x6630 (not $x7698))) @x7323 (unit-resolution @x7488 @x3473 $x7702) (not $x7698))))
-(let ((@x7344 (mp (unit-resolution (def-axiom (or $x7698 $x7483)) @x7334 $x7483) (monotonicity @x7337 (= $x7483 $x5538)) $x5538)))
-(let (($x5470 (or $x6156 $x6583)))
-(let ((@x6577 (mp ((_ quant-inst v_b_v_G_1$ ?v0!15) (or (not $x3480) $x5470)) (rewrite (= (or (not $x3480) $x5470) (or (not $x3480) $x6156 $x6583))) (or (not $x3480) $x6156 $x6583))))
-(let ((@x7345 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x6603 $x6582)) (unit-resolution (unit-resolution @x6577 @x3485 $x5470) @x7344 $x6583) $x6603)))
-(let (($x4153 (<= ?x296 0)))
-(let ((?x4058 (* (- 1) ?x296)))
-(let ((?x4124 (+ ?x172 ?x4058)))
-(let (($x4125 (>= ?x4124 0)))
-(let ((@x6892 (unit-resolution (def-axiom (or $x3797 $x3686)) @x6891 $x3686)))
-(let (($x4878 (or $x3691 $x4125)))
-(let ((@x4880 ((_ quant-inst b_Source$) $x4878)))
-(let (($x3198 (<= ?x172 0)))
-(let ((@x4532 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x2952 $x3198)) @x4529 $x3198)))
-(let ((@x6899 (unit-resolution ((_ th-lemma arith assign-bounds -1 1) (or $x4153 (not $x3198) (not $x4125))) @x4532 (or $x4153 (not $x4125)))))
-(let ((@x6900 (unit-resolution @x6899 (unit-resolution @x4880 @x6892 $x4125) $x4153)))
-(let (($x3887 (= v_b_v_G_1$ b_Source$)))
-(let (($x5313 (not $x3887)))
-(let ((@x5202 (hypothesis $x773)))
-(let ((?x4565 (pair$ b_Source$ b_Source$)))
-(let ((?x4566 (b_G$ ?x4565)))
-(let ((?x4567 (* (- 1) ?x4566)))
-(let ((?x4041 (pair$ v_b_v_G_1$ b_Source$)))
-(let ((?x4042 (b_G$ ?x4041)))
-(let ((@x4671 (monotonicity (symm (hypothesis $x3887) (= b_Source$ v_b_v_G_1$)) (= ?x4565 ?x4041))))
-(let ((@x4659 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x4042 ?x4566)) (>= (+ ?x4042 ?x4567) 0))) (monotonicity (symm @x4671 (= ?x4041 ?x4565)) (= ?x4042 ?x4566)) (>= (+ ?x4042 ?x4567) 0))))
-(let ((?x4049 (* (- 1) ?x4042)))
-(let ((?x5672 (+ ?x3096 ?x4049)))
-(let (($x5674 (>= ?x5672 0)))
-(let ((@x4664 (monotonicity (monotonicity (hypothesis $x3887) (= ?x3130 ?x4041)) (= ?x3096 ?x4042))))
-(let (($x4315 (not $x3079)))
-(let ((@x4728 (trans (monotonicity (hypothesis $x3887) (= ?x257 ?x172)) @x4529 (= ?x257 0))))
-(let ((@x4830 (monotonicity (monotonicity (hypothesis $x3887) (= ?x3104 ?x296)) @x4728 (= $x3052 $x297))))
-(let ((@x4736 (mp @x5202 (monotonicity (symm @x4830 (= $x297 $x3052)) (= $x773 (not $x3052))) (not $x3052))))
-(let ((@x5369 (unit-resolution @x4316 (unit-resolution (unit-resolution @x4259 @x4739 (or $x4245 $x3052)) @x4736 $x4245) $x4315)))
-(let (($x4601 (= ?x4566 0)))
-(let (($x4613 (or $x3151 $x4601)))
-(let ((@x4604 (monotonicity @x5820 (= (or (not (= b_Source$ b_Source$)) $x4601) (or false $x4601)))))
-(let ((@x4630 (trans @x4604 (rewrite (= (or false $x4601) $x4601)) (= (or (not (= b_Source$ b_Source$)) $x4601) $x4601))))
-(let ((@x4617 (monotonicity @x4630 (= (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601)) $x4613))))
-(let ((@x4620 (trans @x4617 (rewrite (= $x4613 $x4613)) (= (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601)) $x4613))))
-(let ((@x4621 (mp ((_ quant-inst b_Source$ b_Source$) (or $x3151 (or (not (= b_Source$ b_Source$)) $x4601))) @x4620 $x4613)))
-(let ((@x5180 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4601) (>= ?x4566 0))) (unit-resolution @x4621 @x3479 $x4601) (>= ?x4566 0))))
-(let ((@x5283 ((_ th-lemma arith farkas 1 -1 1 1) @x5180 @x5369 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3096 ?x4042)) $x5674)) @x4664 $x5674) @x4659 false)))
-(let (($x5310 (<= ?x4042 0)))
-(let ((?x4076 (+ ?x257 ?x4058 ?x4042)))
-(let (($x4096 (<= ?x4076 0)))
-(let (($x4079 (= ?x4076 0)))
-(let (($x4053 (<= (+ ?x172 ?x1173 ?x4049) 0)))
-(let (($x4051 (<= (+ b_Infinity$ ?x4049) 0)))
-(let (($x4054 (or $x4051 $x4053)))
-(let (($x4055 (not $x4054)))
-(let ((@x5609 (symm (monotonicity @x4529 (= (= ?x296 ?x172) $x297)) (= $x297 (= ?x296 ?x172)))))
-(let ((@x5618 (mp @x5202 (monotonicity @x5609 (= $x773 (not (= ?x296 ?x172)))) (not (= ?x296 ?x172)))))
-(let (($x4056 (= ?x296 ?x172)))
-(let (($x4057 (or $x4055 $x4056)))
-(let (($x4295 (or $x3683 $x4055 $x4056)))
-(let ((@x4884 (mp ((_ quant-inst b_Source$) (or $x3683 $x4057)) (rewrite (= (or $x3683 $x4057) $x4295)) $x4295)))
-(let ((@x5791 (unit-resolution (def-axiom (or $x4054 (not $x4051))) (hypothesis $x4055) (not $x4051))))
-(let ((@x5806 (unit-resolution (def-axiom (or $x4054 (not $x4053))) (hypothesis $x4055) (not $x4053))))
-(let (($x4082 (or $x4051 $x4053 $x4079)))
-(let (($x4085 (or $x3675 $x4051 $x4053 $x4079)))
-(let (($x4075 (or $x4051 $x4053 (= (+ ?x257 ?x4042 ?x4058) 0))))
-(let (($x4086 (or $x3675 $x4075)))
-(let ((@x4081 (monotonicity (rewrite (= (+ ?x257 ?x4042 ?x4058) ?x4076)) (= (= (+ ?x257 ?x4042 ?x4058) 0) $x4079))))
-(let ((@x4090 (monotonicity (monotonicity @x4081 (= $x4075 $x4082)) (= $x4086 (or $x3675 $x4082)))))
-(let ((@x4095 (mp ((_ quant-inst b_Source$) $x4086) (trans @x4090 (rewrite (= (or $x3675 $x4082) $x4085)) (= $x4086 $x4085)) $x4085)))
-(let ((@x5789 (unit-resolution (unit-resolution @x4095 @x5807 $x4082) @x5806 @x5791 (hypothesis (not $x4079)) false)))
-(let ((@x5623 (unit-resolution (lemma @x5789 (or $x4054 $x4079 $x3675)) (unit-resolution (unit-resolution @x4884 @x4739 $x4057) @x5618 $x4055) @x5807 $x4079)))
-(let ((@x5923 (hypothesis $x4096)))
-(let ((@x5933 ((_ th-lemma arith farkas -1 1 -1 1) (hypothesis $x3904) (hypothesis $x4153) (hypothesis (not $x5310)) @x5923 false)))
-(let ((@x5938 (lemma @x5933 (or $x5310 (not $x3904) (not $x4153) (not $x4096)))))
-(let ((@x5596 (unit-resolution @x5938 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4079) $x4096)) @x5623 $x4096) (hypothesis $x4153) @x5049 $x5310)))
-(let (($x5886 (= (or (not $x3480) (or $x3887 (not $x5310))) (or (not $x3480) $x3887 (not $x5310)))))
-(let ((@x5952 (mp ((_ quant-inst v_b_v_G_1$ b_Source$) (or (not $x3480) (or $x3887 (not $x5310)))) (rewrite $x5886) (or (not $x3480) $x3887 (not $x5310)))))
-(let ((@x5597 (unit-resolution @x5952 @x3485 @x5596 (unit-resolution (lemma @x5283 (or $x5313 $x3683 $x297)) @x5202 @x4739 $x5313) false)))
-(let ((@x6788 (unit-resolution (lemma @x5597 (or $x297 (not $x4153) $x3675 $x3683)) @x6900 @x6588 @x5944 $x297)))
-(let ((@x7810 (unit-resolution (def-axiom (or $x3782 $x773 $x3776)) (unit-resolution (def-axiom (or $x3785 $x3779)) @x7615 $x3779) @x6788 $x3776)))
-(let ((@x3347 (def-axiom (or $x3770 $x1848 $x3764))))
-(let ((@x9293 (unit-resolution @x3347 (unit-resolution (def-axiom (or $x3773 $x3767)) @x7810 $x3767) $x3767)))
-(let ((@x9294 (unit-resolution @x9293 (lemma ((_ th-lemma arith farkas 1 1 -1 1) @x5703 @x7345 @x6959 @x5049 false) $x1847) $x3764)))
-(let ((@x3367 (def-axiom (or $x3761 $x3703))))
-(let (($x4335 (or $x3708 $x4161)))
-(let ((@x4337 ((_ quant-inst v_b_v_G_1$) $x4335)))
-(let (($x4126 (fun_app$ v_b_Visited_G_2$ v_b_v_G_1$)))
-(let (($x3136 (fun_app$ ?x265 v_b_v_G_1$)))
-(let (($x3461 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(!(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2) :pattern ( (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) )))
-))
-(let (($x57 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2))
-))
-(let (($x54 (= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?2) ?1) ?0) ?1) ?0)))
-(let (($x52 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v1) ?v2))
-))
-(let (($x51 (= (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?2) ?1) ?0) ?1) ?0)))
-(let ((@x62 (mp (asserted $x52) (quant-intro (rewrite (= $x51 $x54)) (= $x52 $x57)) $x57)))
-(let ((@x3466 (mp (mp~ @x62 (nnf-pos (refl (~ $x54 $x54)) (~ $x57 $x57)) $x57) (quant-intro (refl (= $x54 $x54)) (= $x57 $x3461)) $x3461)))
-(let (($x6140 (or (not $x3461) $x3136)))
-(let ((@x6106 (monotonicity (rewrite (= (= $x3136 true) $x3136)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
-(let ((@x5837 (trans @x6106 (rewrite (= $x6140 $x6140)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
-(let ((@x5928 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true) (or (not $x3461) (= $x3136 true))) @x5837 $x6140)))
-(let ((@x7482 (mp (unit-resolution @x5928 @x3466 $x3136) (monotonicity @x5875 (= $x3136 $x4126)) $x4126)))
-(let (($x4570 (>= ?x4546 0)))
-(let ((@x5420 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x4570 $x4569)) (hypothesis (not $x4569)) $x4570)))
-(let (($x4438 (<= (+ b_Infinity$ ?x4436) 0)))
-(let (($x4127 (not $x4126)))
-(let (($x5352 (or $x3725 $x4127 $x4438 $x4569)))
-(let (($x5336 (>= (+ ?x4435 ?x3104 (* (- 1) ?x1911)) 0)))
-(let (($x5339 (or $x4127 $x4438 $x5336)))
-(let (($x5353 (or $x3725 $x5339)))
-(let ((@x5341 (rewrite (= (+ ?x4435 ?x3104 (* (- 1) ?x1911)) (+ (* (- 1) ?x1911) ?x3104 ?x4435)))))
-(let ((@x5344 (monotonicity @x5341 (= $x5336 (>= (+ (* (- 1) ?x1911) ?x3104 ?x4435) 0)))))
-(let ((@x5348 (trans @x5344 (rewrite (= (>= (+ (* (- 1) ?x1911) ?x3104 ?x4435) 0) $x4569)) (= $x5336 $x4569))))
-(let ((@x5357 (monotonicity (monotonicity @x5348 (= $x5339 (or $x4127 $x4438 $x4569))) (= $x5353 (or $x3725 (or $x4127 $x4438 $x4569))))))
-(let ((@x5361 (trans @x5357 (rewrite (= (or $x3725 (or $x4127 $x4438 $x4569)) $x5352)) (= $x5353 $x5352))))
-(let ((@x5424 (unit-resolution (mp ((_ quant-inst ?v0!20 v_b_v_G_1$) $x5353) @x5361 $x5352) (hypothesis $x3720) (hypothesis $x4126) (hypothesis (not $x4569)) $x4438)))
-(let ((@x5428 (lemma ((_ th-lemma arith farkas 1 1 1 1) @x5424 (hypothesis $x4161) @x5420 (hypothesis $x1915) false) (or $x4569 (not $x4161) $x1914 $x3725 $x4127))))
-(let ((@x7692 (unit-resolution (unit-resolution @x5428 @x7482 (or $x4569 (not $x4161) $x1914 $x3725)) (unit-resolution @x4337 (unit-resolution @x3367 @x9294 $x3703) $x4161) (or $x4569 $x1914 $x3725))))
-(let ((@x7751 (unit-resolution @x7692 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) (unit-resolution @x3222 @x8092 $x3720) $x4569)))
-(let (($x5386 (= v_b_v_G_1$ ?v0!20)))
-(let (($x5390 (not $x5386)))
-(let ((@x9325 (symm (commutativity (= $x5386 (= ?v0!20 v_b_v_G_1$))) (= (= ?v0!20 v_b_v_G_1$) $x5386))))
-(let (($x5240 (= ?v0!20 v_b_v_G_1$)))
-(let (($x9145 (not $x5240)))
-(let (($x4609 (fun_app$ v_b_Visited_G_1$ ?v0!20)))
-(let (($x9130 (or $x5240 $x4609)))
-(let (($x5237 (fun_app$ ?x265 ?v0!20)))
-(let (($x9133 (= $x5237 $x9130)))
-(let (($x9136 (or $x4114 $x9133)))
-(let ((@x9135 (monotonicity (rewrite (= (ite $x5240 true $x4609) $x9130)) (= (= $x5237 (ite $x5240 true $x4609)) $x9133))))
-(let ((@x9140 (monotonicity @x9135 (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
-(let ((@x9143 (trans @x9140 (rewrite (= $x9136 $x9136)) (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
-(let ((@x9144 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!20) (or $x4114 (= $x5237 (ite $x5240 true $x4609)))) @x9143 $x9136)))
-(let ((@x9316 (symm (monotonicity @x5875 (= $x5237 (fun_app$ v_b_Visited_G_2$ ?v0!20))) (= (fun_app$ v_b_Visited_G_2$ ?v0!20) $x5237))))
-(let ((@x9318 (monotonicity @x9316 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!20)) (not $x5237)))))
-(let (($x4278 (fun_app$ v_b_Visited_G_2$ ?v0!20)))
-(let (($x4279 (not $x4278)))
-(let (($x4403 (or $x4279 $x4400)))
-(let ((@x8012 (mp ((_ quant-inst ?v0!20) (or $x3700 $x4403)) (rewrite (= (or $x3700 $x4403) (or $x3700 $x4279 $x4400))) (or $x3700 $x4279 $x4400))))
-(let ((@x9292 (unit-resolution (unit-resolution @x8012 @x7616 $x4403) (hypothesis (not $x4400)) $x4279)))
-(let ((@x9320 (unit-resolution (def-axiom (or (not $x9133) $x5237 (not $x9130))) (mp @x9292 @x9318 (not $x5237)) (unit-resolution @x9144 @x3473 $x9133) (not $x9130))))
-(let ((@x9328 (mp (unit-resolution (def-axiom (or $x9130 $x9145)) @x9320 $x9145) (monotonicity @x9325 (= $x9145 $x5390)) $x5390)))
-(let (($x5387 (<= ?x4435 0)))
-(let (($x5391 (= ?x4435 0)))
-(let ((?x3106 (+ ?x257 ?x3096 ?x3105)))
-(let (($x4239 (<= ?x3106 0)))
-(let ((?x3884 (+ ?x257 ?x3105)))
-(let (($x3885 (<= ?x3884 0)))
-(let (($x6004 (= ?x257 ?x3104)))
-(let ((@x7828 (mp (unit-resolution @x4259 @x5944 (unit-resolution @x4316 @x6019 $x4242) $x3052) (symm (commutativity (= $x6004 $x3052)) (= $x3052 $x6004)) $x6004)))
-(let (($x4177 (<= ?x3096 0)))
-(let ((@x6933 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4785) $x4177)) @x4849 $x4177)))
-(let ((@x7838 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x4239 (not $x3885) (not $x4177))) @x6933 (or $x4239 (not $x3885)))))
-(let ((@x7839 (unit-resolution @x7838 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6004) $x3885)) @x7828 $x3885) $x4239)))
-(let (($x3044 (>= ?x3106 0)))
-(let (($x3886 (>= ?x3884 0)))
-(let (($x5927 (or $x3691 $x3886)))
-(let ((@x5941 ((_ quant-inst v_b_v_G_1$) $x5927)))
-(let ((@x6925 (unit-resolution @x5941 @x6892 $x3886)))
-(let ((@x6929 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1) (or $x3044 $x4315 (not $x3886))) @x6019 (or $x3044 (not $x3886)))))
-(let ((@x6930 (unit-resolution @x6929 @x6925 $x3044)))
-(let ((?x4381 (+ ?x1911 ?x3105)))
-(let (($x7049 (<= ?x4381 0)))
-(let (($x7135 (= ?x4546 0)))
-(let ((?x1912 (* (- 1) ?x1911)))
-(let ((?x4487 (+ ?x257 ?x1912 ?x4435)))
-(let (($x4507 (<= ?x4487 0)))
-(let (($x5673 (= ?x4487 0)))
-(let (($x6827 (>= (+ ?x257 ?x4418 ?x4435) 0)))
-(let (($x6723 (or $x4438 $x6827)))
-(let (($x6684 (not $x6723)))
-(let (($x6831 (or $x6684 $x4400)))
-(let (($x6789 (or $x3683 $x6684 $x4400)))
-(let (($x4443 (or (not (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0))) $x4400)))
-(let (($x6790 (or $x3683 $x4443)))
-(let ((@x6945 (monotonicity (rewrite (= (+ ?x4393 ?x1173 ?x4436) (+ ?x1173 ?x4393 ?x4436))) (= (<= (+ ?x4393 ?x1173 ?x4436) 0) (<= (+ ?x1173 ?x4393 ?x4436) 0)))))
-(let ((@x6725 (trans @x6945 (rewrite (= (<= (+ ?x1173 ?x4393 ?x4436) 0) $x6827)) (= (<= (+ ?x4393 ?x1173 ?x4436) 0) $x6827))))
-(let ((@x6730 (monotonicity @x6725 (= (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0)) $x6723))))
-(let ((@x6830 (monotonicity @x6730 (= (not (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0))) $x6684))))
-(let ((@x6829 (monotonicity (monotonicity @x6830 (= $x4443 $x6831)) (= $x6790 (or $x3683 $x6831)))))
-(let ((@x6824 (mp ((_ quant-inst ?v0!20) $x6790) (trans @x6829 (rewrite (= (or $x3683 $x6831) $x6789)) (= $x6790 $x6789)) $x6789)))
-(let ((@x9281 (unit-resolution (unit-resolution @x6824 @x5944 $x6831) (hypothesis (not $x4400)) $x6684)))
-(let ((@x7436 (unit-resolution (def-axiom (or $x6723 (not $x4438))) (hypothesis $x6684) (not $x4438))))
-(let ((@x7494 (unit-resolution (def-axiom (or $x6723 (not $x6827))) (hypothesis $x6684) (not $x6827))))
-(let (($x6621 (or $x4438 $x6827 $x5673)))
-(let (($x6987 (or $x3675 $x4438 $x6827 $x5673)))
-(let (($x4440 (<= (+ ?x4393 ?x1173 ?x4436) 0)))
-(let (($x4486 (or $x4438 $x4440 (= (+ ?x257 ?x4435 ?x1912) 0))))
-(let (($x6624 (or $x3675 $x4486)))
-(let ((@x5324 (monotonicity (rewrite (= (+ ?x257 ?x4435 ?x1912) ?x4487)) (= (= (+ ?x257 ?x4435 ?x1912) 0) $x5673))))
-(let ((@x6996 (monotonicity (monotonicity @x6725 @x5324 (= $x4486 $x6621)) (= $x6624 (or $x3675 $x6621)))))
-(let ((@x7057 (mp ((_ quant-inst ?v0!20) $x6624) (trans @x6996 (rewrite (= (or $x3675 $x6621) $x6987)) (= $x6624 $x6987)) $x6987)))
-(let ((@x7649 (unit-resolution (unit-resolution @x7057 @x6588 $x6621) @x7494 @x7436 (hypothesis (not $x5673)) false)))
-(let ((@x7699 (lemma @x7649 (or $x6723 $x5673))))
-(let ((@x9285 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5673) $x4507)) (unit-resolution @x7699 @x9281 $x5673) $x4507)))
-(let ((@x9287 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x4507) $x4570 (not $x3886))) @x6925 (or (not $x4507) $x4570))))
-(let ((@x7251 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7135 (not $x4569) (not $x4570))) (hypothesis $x4569) (or $x7135 (not $x4570)))))
-(let (($x7151 (not $x7135)))
-(let (($x7157 (or $x3734 $x7049 $x4127 $x7151)))
-(let (($x4516 (>= (+ ?x3104 ?x1912) 0)))
-(let (($x4528 (or $x4516 $x4127 (not (= (+ ?x3104 ?x1912 ?x4435) 0)))))
-(let (($x7317 (or $x3734 $x4528)))
-(let ((@x7137 (monotonicity (rewrite (= (+ ?x3104 ?x1912 ?x4435) (+ ?x1912 ?x3104 ?x4435))) (= (= (+ ?x3104 ?x1912 ?x4435) 0) (= (+ ?x1912 ?x3104 ?x4435) 0)))))
-(let ((@x7149 (trans @x7137 (rewrite (= (= (+ ?x1912 ?x3104 ?x4435) 0) $x7135)) (= (= (+ ?x3104 ?x1912 ?x4435) 0) $x7135))))
-(let ((@x7063 (monotonicity (rewrite (= (+ ?x3104 ?x1912) (+ ?x1912 ?x3104))) (= $x4516 (>= (+ ?x1912 ?x3104) 0)))))
-(let ((@x7144 (trans @x7063 (rewrite (= (>= (+ ?x1912 ?x3104) 0) $x7049)) (= $x4516 $x7049))))
-(let ((@x7156 (monotonicity @x7144 (monotonicity @x7149 (= (not (= (+ ?x3104 ?x1912 ?x4435) 0)) $x7151)) (= $x4528 (or $x7049 $x4127 $x7151)))))
-(let ((@x7313 (trans (monotonicity @x7156 (= $x7317 (or $x3734 (or $x7049 $x4127 $x7151)))) (rewrite (= (or $x3734 (or $x7049 $x4127 $x7151)) $x7157)) (= $x7317 $x7157))))
-(let ((@x7502 (unit-resolution (mp ((_ quant-inst v_b_v_G_1$) $x7317) @x7313 $x7157) (hypothesis $x3729) @x7482 (or $x7049 $x7151))))
-(let ((@x9290 (unit-resolution @x7502 (unit-resolution @x7251 (unit-resolution @x9287 @x9285 $x4570) $x7135) $x7049)))
-(let (($x4382 (>= ?x4381 0)))
-(let (($x6813 (= ?v1!16 v_b_v_G_1$)))
-(let (($x7202 (= v_b_v_G_1$ ?v1!16)))
-(let ((?x6481 (pair$ v_b_v_G_1$ ?v1!16)))
-(let ((?x6374 (b_G$ ?x6481)))
-(let (($x7203 (<= ?x6374 0)))
-(let ((?x1866 (v_b_SP_G_2$ ?v0!17)))
-(let ((?x6890 (+ ?x1866 ?x3105)))
-(let (($x6886 (<= ?x6890 0)))
-(let ((?x4496 (fun_app$c v_b_SP_G_1$ ?v0!17)))
-(let ((?x6307 (* (- 1) ?x4496)))
-(let ((?x5972 (+ ?x257 ?x6307)))
-(let (($x7220 (>= ?x5972 0)))
-(let (($x3187 (fun_app$ v_b_Visited_G_1$ ?v0!17)))
-(let (($x4478 (= ?v0!17 v_b_v_G_1$)))
-(let (($x4499 (or $x4478 $x3187)))
-(let (($x4471 (fun_app$ ?x265 ?v0!17)))
-(let (($x4593 (= $x4471 $x4499)))
-(let (($x4712 (or $x4114 $x4593)))
-(let ((@x4495 (monotonicity (rewrite (= (ite $x4478 true $x3187) $x4499)) (= (= $x4471 (ite $x4478 true $x3187)) $x4593))))
-(let ((@x5371 (monotonicity @x4495 (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
-(let ((@x5958 (trans @x5371 (rewrite (= $x4712 $x4712)) (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
-(let ((@x6125 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!17) (or $x4114 (= $x4471 (ite $x4478 true $x3187)))) @x5958 $x4712)))
-(let ((@x8166 (mp (unit-resolution (def-axiom (or $x2760 $x1862)) (hypothesis $x2765) $x1862) (symm (monotonicity @x5875 (= $x4471 $x1862)) (= $x1862 $x4471)) $x4471)))
-(let ((@x8237 (unit-resolution (def-axiom (or (not $x4593) (not $x4471) $x4499)) @x8166 (unit-resolution @x6125 @x3473 $x4593) $x4499)))
-(let (($x6485 (not $x4478)))
-(let (($x8046 (<= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16))) 0)))
-(let (($x6814 (fun_app$ v_b_Visited_G_1$ ?v1!16)))
-(let (($x8334 (or $x6813 $x6814)))
-(let (($x6812 (fun_app$ ?x265 ?v1!16)))
-(let (($x7683 (= $x6812 $x8334)))
-(let (($x6622 (or $x4114 $x7683)))
-(let ((@x6719 (monotonicity (rewrite (= (ite $x6813 true $x6814) $x8334)) (= (= $x6812 (ite $x6813 true $x6814)) $x7683))))
-(let ((@x8777 (monotonicity @x6719 (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
-(let ((@x8650 (trans @x8777 (rewrite (= $x6622 $x6622)) (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
-(let ((@x8651 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!16) (or $x4114 (= $x6812 (ite $x6813 true $x6814)))) @x8650 $x6622)))
-(let ((@x8121 (monotonicity (symm (monotonicity @x5875 (= $x6812 $x1860)) (= $x1860 $x6812)) (= (not $x1860) (not $x6812)))))
-(let (($x1861 (not $x1860)))
-(let ((@x7803 (hypothesis $x2765)))
-(let ((@x8141 (mp (unit-resolution (def-axiom (or $x2760 $x1861)) @x7803 $x1861) @x8121 (not $x6812))))
-(let ((@x8147 (unit-resolution (def-axiom (or (not $x7683) $x6812 (not $x8334))) @x8141 (unit-resolution @x8651 @x3473 $x7683) (not $x8334))))
-(let (($x8156 (or $x6814 $x8046)))
-(let (($x8160 (or $x3665 $x6814 $x8046)))
-(let (($x6666 (>= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) 0)))
-(let (($x6673 (or $x6814 $x6666)))
-(let (($x8163 (or $x3665 $x6673)))
-(let ((@x7990 (rewrite (= (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0) $x8046))))
-(let (($x8213 (= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)))))
-(let ((@x8047 (monotonicity (rewrite $x8213) (= $x6666 (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0)))))
-(let ((@x8089 (monotonicity (monotonicity (trans @x8047 @x7990 (= $x6666 $x8046)) (= $x6673 $x8156)) (= $x8163 (or $x3665 $x8156)))))
-(let ((@x8093 (mp ((_ quant-inst ?v1!16) $x8163) (trans @x8089 (rewrite (= (or $x3665 $x8156) $x8160)) (= $x8163 $x8160)) $x8160)))
-(let ((@x8217 (unit-resolution @x8093 (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) $x8156)))
-(let ((@x8239 (unit-resolution @x8217 (unit-resolution (def-axiom (or $x8334 (not $x6814))) @x8147 (not $x6814)) $x8046)))
-(let (($x3386 (not $x1869)))
-(let ((@x3390 (def-axiom (or $x2760 $x3386))))
-(let ((@x8240 (unit-resolution @x3390 @x7803 $x3386)))
-(let ((?x6009 (pair$ v_b_v_G_1$ ?v0!17)))
-(let ((?x6010 (b_G$ ?x6009)))
-(let ((?x1867 (* (- 1) ?x1866)))
-(let ((?x6187 (+ ?x257 ?x1867 ?x6010)))
-(let ((@x8743 (monotonicity (monotonicity (hypothesis $x4478) (= ?x6009 ?x3130)) (= ?x6010 ?x3096))))
-(let (($x6889 (= ?x1866 ?x3104)))
-(let ((@x6922 (hypothesis $x4478)))
-(let ((@x6921 (unit-resolution (hypothesis (not $x6889)) (monotonicity @x6922 $x6889) false)))
-(let ((@x6939 (lemma @x6921 (or $x6485 $x6889))))
-(let ((@x6214 ((_ th-lemma arith triangle-eq) (or (not $x6889) $x6886))))
-(let (($x7675 (>= ?x6890 0)))
-(let ((@x8362 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6889) $x7675)) (unit-resolution @x6939 @x6922 $x6889) $x7675)))
-(let ((@x7970 ((_ th-lemma arith eq-propagate 1 1 1 1 -1 -1) @x8362 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6019 @x6933 @x6930 @x7839 (= ?x6010 ?x6187))))
-(let ((@x8765 (trans (trans (symm @x7970 (= ?x6187 ?x6010)) @x8743 (= ?x6187 ?x3096)) @x4849 (= ?x6187 0))))
-(let (($x6564 (>= ?x6187 0)))
-(let (($x7274 (not $x6564)))
-(let ((@x7271 (hypothesis $x3386)))
-(let ((?x1865 (v_b_SP_G_2$ ?v1!16)))
-(let ((?x6126 (* (- 1) ?x1865)))
-(let ((?x6400 (+ ?x257 ?x6126 ?x6374)))
-(let (($x6319 (<= ?x6400 0)))
-(let (($x8008 (= ?x6400 0)))
-(let (($x6238 (<= (+ b_Infinity$ (* (- 1) ?x6374)) 0)))
-(let (($x8646 (not $x6238)))
-(let (($x7241 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16)) ?x6374) 0)))
-(let (($x7239 (or $x6238 $x7241)))
-(let (($x4416 (not $x7239)))
-(let ((?x6234 (fun_app$c v_b_SP_G_1$ ?v1!16)))
-(let (($x6378 (= ?x1865 ?x6234)))
-(let (($x8565 (not $x6378)))
-(let (($x8664 (>= (+ ?x1865 (* (- 1) ?x6234)) 0)))
-(let (($x8549 (not $x8664)))
-(let ((@x8517 ((_ th-lemma arith assign-bounds -1 -1 -1 -1 1) (or $x8549 (not $x8046) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
-(let ((@x8321 (unit-resolution @x8517 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6933 @x6930 @x7271 (hypothesis $x8046) $x8549)))
-(let (($x8358 (or $x4416 $x6378)))
-(let (($x8640 (or $x3683 $x4416 $x6378)))
-(let (($x6219 (or (not (or $x6238 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0))) $x6378)))
-(let (($x8252 (or $x3683 $x6219)))
-(let (($x6539 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0)))
-(let ((@x7664 (rewrite (= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) (+ ?x1173 ?x6234 (* (- 1) ?x6374))))))
-(let ((@x7697 (monotonicity @x7664 (= $x6539 (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0)))))
-(let ((@x4371 (trans @x7697 (rewrite (= (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0) $x7241)) (= $x6539 $x7241))))
-(let ((@x8352 (monotonicity (monotonicity @x4371 (= (or $x6238 $x6539) $x7239)) (= (not (or $x6238 $x6539)) $x4416))))
-(let ((@x8173 (monotonicity (monotonicity @x8352 (= $x6219 $x8358)) (= $x8252 (or $x3683 $x8358)))))
-(let ((@x8649 (mp ((_ quant-inst ?v1!16) $x8252) (trans @x8173 (rewrite (= (or $x3683 $x8358) $x8640)) (= $x8252 $x8640)) $x8640)))
-(let ((@x8632 (unit-resolution (unit-resolution @x8649 @x5944 $x8358) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) @x8321 $x8565) $x4416)))
-(let (($x8029 (or $x6238 $x7241 $x8008)))
-(let (($x8118 (or $x3675 $x6238 $x7241 $x8008)))
-(let (($x6399 (or $x6238 $x6539 (= (+ ?x257 ?x6374 ?x6126) 0))))
-(let (($x8113 (or $x3675 $x6399)))
-(let ((@x8010 (monotonicity (rewrite (= (+ ?x257 ?x6374 ?x6126) ?x6400)) (= (= (+ ?x257 ?x6374 ?x6126) 0) $x8008))))
-(let ((@x5909 (monotonicity (monotonicity @x4371 @x8010 (= $x6399 $x8029)) (= $x8113 (or $x3675 $x8029)))))
-(let ((@x7712 (mp ((_ quant-inst ?v1!16) $x8113) (trans @x5909 (rewrite (= (or $x3675 $x8029) $x8118)) (= $x8113 $x8118)) $x8118)))
-(let ((@x8635 (unit-resolution (unit-resolution @x7712 @x6588 $x8029) (unit-resolution (def-axiom (or $x7239 (not $x7241))) @x8632 (not $x7241)) (unit-resolution (def-axiom (or $x7239 $x8646)) @x8632 $x8646) $x8008)))
-(let ((@x7288 (monotonicity (commutativity (= (= v_b_v_G_1$ ?v0!17) $x4478)) (= (not (= v_b_v_G_1$ ?v0!17)) $x6485))))
-(let (($x7176 (= v_b_v_G_1$ ?v0!17)))
-(let (($x7180 (not $x7176)))
-(let (($x7177 (<= ?x6010 0)))
-(let (($x7178 (not $x7177)))
-(let (($x7206 (not $x7203)))
-(let ((@x7267 (monotonicity (symm (commutativity (= $x7202 $x6813)) (= $x6813 $x7202)) (= (not $x6813) (not $x7202)))))
-(let (($x7207 (or $x7202 $x7206)))
-(let ((@x7215 (mp ((_ quant-inst v_b_v_G_1$ ?v1!16) (or (not $x3480) $x7207)) (rewrite (= (or (not $x3480) $x7207) (or (not $x3480) $x7202 $x7206))) (or (not $x3480) $x7202 $x7206))))
-(let ((@x7270 (unit-resolution (unit-resolution @x7215 @x3485 $x7207) (mp (hypothesis (not $x6813)) @x7267 (not $x7202)) $x7206)))
-(let ((@x7278 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x7178 $x7274 $x1869 $x7203 (not $x6319))) (hypothesis $x6319) (hypothesis $x6564) @x7271 @x7270 $x7178)))
-(let ((@x7282 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6010 0)) $x7177)) @x7278 (not (= ?x6010 0)))))
-(let (($x7181 (= ?x6010 0)))
-(let (($x7188 (or $x7180 $x7181)))
-(let ((@x7196 (mp ((_ quant-inst v_b_v_G_1$ ?v0!17) (or $x3151 $x7188)) (rewrite (= (or $x3151 $x7188) (or $x3151 $x7180 $x7181))) (or $x3151 $x7180 $x7181))))
-(let ((@x7289 (mp (unit-resolution (unit-resolution @x7196 @x3479 $x7188) @x7282 $x7180) @x7288 $x6485)))
-(let ((@x5812 (def-axiom (or (not $x4499) $x4478 $x3187))))
-(let (($x7229 (= (or $x3570 (or $x255 (not $x3187) $x7220)) (or $x3570 $x255 (not $x3187) $x7220))))
-(let ((@x7231 (mp ((_ quant-inst ?v0!17 v_b_v_G_1$) (or $x3570 (or $x255 (not $x3187) $x7220))) (rewrite $x7229) (or $x3570 $x255 (not $x3187) $x7220))))
-(let ((@x7291 (unit-resolution @x7231 @x5748 @x6225 (unit-resolution @x5812 @x7289 (hypothesis $x4499) $x3187) $x7220)))
-(let (($x6327 (<= (+ ?x1866 ?x6307) 0)))
-(let (($x6088 (or $x3691 $x6327)))
-(let ((@x6464 (monotonicity (rewrite (= (+ ?x4496 ?x1867) (+ ?x1867 ?x4496))) (= (>= (+ ?x4496 ?x1867) 0) (>= (+ ?x1867 ?x4496) 0)))))
-(let ((@x5905 (trans @x6464 (rewrite (= (>= (+ ?x1867 ?x4496) 0) $x6327)) (= (>= (+ ?x4496 ?x1867) 0) $x6327))))
-(let ((@x5843 (trans (monotonicity @x5905 (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088)) (rewrite (= $x6088 $x6088)) (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088))))
-(let ((@x7292 (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3691 (>= (+ ?x4496 ?x1867) 0))) @x5843 $x6088) @x6892 $x6327)))
-(let ((@x7295 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x7292 @x7271 @x7270 (hypothesis $x6319) @x7291 false) (or (not $x6319) $x1869 (not $x4499) $x7274 $x6813))))
-(let ((@x8734 (unit-resolution @x7295 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) @x8635 $x6319) (hypothesis $x4499) (hypothesis (not $x6813)) @x7271 $x7274)))
-(let ((@x8324 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6187 0)) $x6564)) @x8734 (not (= ?x6187 0)))))
-(let ((@x8494 (lemma (unit-resolution @x8324 @x8765 false) (or $x6485 (not $x4499) $x6813 $x1869 (not $x8046)))))
-(let ((@x8211 (unit-resolution @x8494 @x8237 (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) @x8240 @x8239 $x6485)))
-(let ((@x8909 (unit-resolution @x7231 @x5748 @x6225 (hypothesis $x3187) (hypothesis (not $x7220)) false)))
-(let ((@x8256 (unit-resolution (lemma @x8909 (or (not $x3187) $x7220)) (unit-resolution @x5812 @x8211 @x8237 $x3187) $x7220)))
-(let ((@x8314 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1) (or $x6886 (not $x7220) (not $x6327) $x4315 (not $x4239))) @x7292 @x7839 @x8256 @x6019 $x6886)))
-(let ((@x8385 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) (unit-resolution @x8517 @x8314 @x6933 @x6930 @x8240 @x8239 $x8549) $x8565)))
-(let ((@x8386 (unit-resolution (def-axiom (or $x7239 $x8646)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8646)))
-(let (($x8654 (not $x7241)))
-(let ((@x8390 (unit-resolution (def-axiom (or $x7239 $x8654)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8654)))
-(let ((@x8410 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) (unit-resolution (unit-resolution @x7712 @x6588 $x8029) @x8390 @x8386 $x8008) $x6319)))
-(let ((@x8411 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x7203 (not $x6319) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
-(let ((@x8413 (unit-resolution @x7215 @x3485 (unit-resolution @x8411 @x8410 @x6933 @x6930 @x8240 @x8314 $x7203) $x7202)))
-(let ((@x8417 (unit-resolution (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) (symm @x8413 $x6813) false)))
-(let ((@x3365 (def-axiom (or $x3758 $x2765 $x3752))))
-(let ((@x9296 (unit-resolution @x3365 (lemma @x8417 $x2760) (unit-resolution (def-axiom (or $x3761 $x3755)) @x9294 $x3755) $x3752)))
-(let ((@x8225 (rewrite (= (or $x3717 (or $x4278 $x4127 $x4382)) (or $x3717 $x4278 $x4127 $x4382)))))
-(let ((@x8229 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or $x3717 (or $x4278 $x4127 $x4382))) @x8225 (or $x3717 $x4278 $x4127 $x4382))))
-(let ((@x9299 (unit-resolution @x8229 (unit-resolution (def-axiom (or $x3749 $x3712)) @x9296 $x3712) @x7482 (or $x4278 $x4382))))
-(let (($x4508 (>= ?x4487 0)))
-(let ((@x9304 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or $x4508 (not $x4569) (not $x3886))) @x6925 (or $x4508 (not $x4569)))))
-(let ((@x9306 ((_ th-lemma arith eq-propagate -1 -1 -1 -1 -1 -1 1 1) (unit-resolution @x9304 (hypothesis $x4569) $x4508) @x9285 (unit-resolution @x9299 @x9292 $x4382) @x9290 @x6019 @x6933 @x6930 @x7839 $x5391)))
-(let (($x5388 (not $x5387)))
-(let (($x5389 (or $x5386 $x5388)))
-(let ((@x7598 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or (not $x3480) $x5389)) (rewrite (= (or (not $x3480) $x5389) (or (not $x3480) $x5386 $x5388))) (or (not $x3480) $x5386 $x5388))))
-(let ((@x9311 (unit-resolution (unit-resolution @x7598 @x3485 $x5389) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5391) $x5387)) @x9306 $x5387) $x5386)))
-(let ((@x8045 (unit-resolution (lemma (unit-resolution @x9311 @x9328 false) (or $x4400 $x3734 (not $x4569))) (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x7751 $x4400)))
-(let ((@x8812 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4400) $x5977)) @x8045 $x5977)))
-(let ((?x4641 (?v1!7 ?v0!20)))
-(let ((?x4648 (pair$ ?x4641 ?v0!20)))
-(let ((?x4649 (b_G$ ?x4648)))
-(let ((?x4650 (* (- 1) ?x4649)))
-(let ((?x4642 (fun_app$c v_b_SP_G_1$ ?x4641)))
-(let ((?x4643 (* (- 1) ?x4642)))
-(let ((?x4651 (+ ?x4393 ?x4643 ?x4650)))
-(let (($x4391 (>= ?x4651 0)))
-(let (($x4652 (= ?x4651 0)))
-(let (($x4653 (not $x4652)))
-(let (($x4646 (fun_app$ v_b_Visited_G_1$ ?x4641)))
-(let (($x4647 (not $x4646)))
-(let ((?x4644 (+ ?x4393 ?x4643)))
-(let (($x4645 (<= ?x4644 0)))
-(let (($x4654 (or $x4645 $x4647 $x4653)))
-(let (($x4655 (not $x4654)))
-(let (($x4640 (<= (+ b_Infinity$ ?x4418) 0)))
-(let (($x7886 (not $x4640)))
-(let ((@x8816 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x5977) $x1914 $x7886)) @x8812 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) $x7886)))
-(let ((@x7414 (rewrite (= (or $x3586 (or $x1909 $x4640 $x4655)) (or $x3586 $x1909 $x4640 $x4655)))))
-(let ((@x7415 (mp ((_ quant-inst ?v0!20) (or $x3586 (or $x1909 $x4640 $x4655))) @x7414 (or $x3586 $x1909 $x4640 $x4655))))
-(let ((@x8817 (unit-resolution @x7415 @x4545 (unit-resolution (def-axiom (or $x3737 $x1910)) @x8092 $x1910) (or $x4640 $x4655))))
-(let ((@x8826 (unit-resolution @x8817 @x8816 $x4655)))
-(let ((@x6085 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x4391)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x4391)))
-(let (($x7707 (<= ?x4651 0)))
-(let ((@x8177 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x7707)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x7707)))
-(let (($x4689 (fun_app$ v_b_Visited_G_2$ ?x4641)))
-(let ((@x6032 (monotonicity (symm (hypothesis $x266) (= ?x265 v_b_Visited_G_2$)) (= (fun_app$ ?x265 ?x4641) $x4689))))
-(let ((@x6036 (monotonicity (symm @x6032 (= $x4689 (fun_app$ ?x265 ?x4641))) (= (not $x4689) (not (fun_app$ ?x265 ?x4641))))))
-(let (($x5978 (fun_app$ ?x265 ?x4641)))
-(let (($x5985 (= ?x4641 v_b_v_G_1$)))
-(let (($x5988 (or $x5985 $x4646)))
-(let (($x5991 (= $x5978 $x5988)))
-(let (($x5994 (or $x4114 $x5991)))
-(let ((@x5993 (monotonicity (rewrite (= (ite $x5985 true $x4646) $x5988)) (= (= $x5978 (ite $x5985 true $x4646)) $x5991))))
-(let ((@x5998 (monotonicity @x5993 (= (or $x4114 (= $x5978 (ite $x5985 true $x4646))) $x5994))))
-(let ((@x6001 (trans @x5998 (rewrite (= $x5994 $x5994)) (= (or $x4114 (= $x5978 (ite $x5985 true $x4646))) $x5994))))
-(let ((@x6002 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true (?v1!7 ?v0!20)) (or $x4114 (= $x5978 (ite $x5985 true $x4646)))) @x6001 $x5994)))
-(let ((@x6025 (unit-resolution (def-axiom (or (not $x5991) $x5978 (not $x5988))) (unit-resolution (def-axiom (or $x5988 $x4647)) (hypothesis $x4646) $x5988) (or (not $x5991) $x5978))))
-(let ((@x6038 (unit-resolution (unit-resolution @x6025 (unit-resolution @x6002 @x3473 $x5991) $x5978) (mp (hypothesis (not $x4689)) @x6036 (not $x5978)) false)))
-(let ((@x8986 (unit-resolution (lemma @x6038 (or $x4689 $x2935 $x4647)) (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (or $x4689 $x4647))))
-(let ((@x8987 (unit-resolution @x8986 (unit-resolution (def-axiom (or $x4654 $x4646)) @x8826 $x4646) $x4689)))
-(let ((?x4697 (v_b_SP_G_2$ ?x4641)))
-(let ((?x4700 (* (- 1) ?x4697)))
-(let ((?x4868 (+ ?x1911 ?x4700)))
-(let (($x9248 (<= ?x4868 0)))
-(let (($x8507 (not $x9248)))
-(let ((?x4701 (+ ?x4642 ?x4700)))
-(let (($x4708 (>= ?x4701 0)))
-(let ((@x8348 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8507 (not $x4708) $x4645 (not $x5977))) @x8812 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (unit-resolution (def-axiom (or $x4654 (not $x4645))) @x8826 (not $x4645)) $x8507)))
-(let ((?x8311 (+ ?x1911 ?x4650 ?x4700)))
-(let (($x8266 (>= ?x8311 0)))
-(let ((@x10143 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8266 (not $x4391) (not $x4708) (not $x5977))) (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (hypothesis $x4391) (hypothesis $x5977) $x8266)))
-(let (($x8534 (<= ?x8311 0)))
-(let (($x5038 (<= ?x4701 0)))
-(let (($x5863 (= ?x4642 ?x4697)))
-(let ((@x10149 (symm (commutativity (= $x5863 (= ?x4697 ?x4642))) (= (= ?x4697 ?x4642) $x5863))))
-(let (($x4698 (= ?x4697 ?x4642)))
-(let ((@x7939 (rewrite (= (or $x3700 (or (not $x4689) $x4698)) (or $x3700 (not $x4689) $x4698)))))
-(let ((@x7943 (mp ((_ quant-inst (?v1!7 ?v0!20)) (or $x3700 (or (not $x4689) $x4698))) @x7939 (or $x3700 (not $x4689) $x4698))))
-(let ((@x7980 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5863) $x5038)) (mp (unit-resolution @x7943 @x7616 (hypothesis $x4689) $x4698) @x10149 $x5863) $x5038)))
-(let (($x8014 (<= ?x4419 0)))
-(let (($x8221 (or $x3691 $x8014)))
-(let ((@x8001 (monotonicity (rewrite (= (+ ?x4393 ?x1912) (+ ?x1912 ?x4393))) (= (>= (+ ?x4393 ?x1912) 0) (>= (+ ?x1912 ?x4393) 0)))))
-(let ((@x8035 (trans @x8001 (rewrite (= (>= (+ ?x1912 ?x4393) 0) $x8014)) (= (>= (+ ?x4393 ?x1912) 0) $x8014))))
-(let ((@x8178 (trans (monotonicity @x8035 (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221)) (rewrite (= $x8221 $x8221)) (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221))))
-(let ((@x8659 (unit-resolution (mp ((_ quant-inst ?v0!20) (or $x3691 (>= (+ ?x4393 ?x1912) 0))) @x8178 $x8221) @x6892 $x8014)))
-(let ((@x8083 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8534 (not $x7707) (not $x5038) (not $x8014))) @x8659 (hypothesis $x7707) @x7980 $x8534)))
-(let (($x9251 (= ?x8311 0)))
-(let (($x8749 (not $x9251)))
-(let (($x4690 (not $x4689)))
-(let (($x8567 (or $x3734 $x9248 $x4690 $x8749)))
-(let (($x4857 (>= (+ ?x4697 ?x1912) 0)))
-(let (($x4861 (or $x4857 $x4690 (not (= (+ ?x4697 ?x1912 ?x4649) 0)))))
-(let (($x8927 (or $x3734 $x4861)))
-(let ((@x8955 (monotonicity (rewrite (= (+ ?x4697 ?x1912 ?x4649) (+ ?x1912 ?x4649 ?x4697))) (= (= (+ ?x4697 ?x1912 ?x4649) 0) (= (+ ?x1912 ?x4649 ?x4697) 0)))))
-(let ((@x8627 (trans @x8955 (rewrite (= (= (+ ?x1912 ?x4649 ?x4697) 0) $x9251)) (= (= (+ ?x4697 ?x1912 ?x4649) 0) $x9251))))
-(let ((@x8965 (monotonicity (rewrite (= (+ ?x4697 ?x1912) (+ ?x1912 ?x4697))) (= $x4857 (>= (+ ?x1912 ?x4697) 0)))))
-(let ((@x8985 (trans @x8965 (rewrite (= (>= (+ ?x1912 ?x4697) 0) $x9248)) (= $x4857 $x9248))))
-(let ((@x9087 (monotonicity @x8985 (monotonicity @x8627 (= (not (= (+ ?x4697 ?x1912 ?x4649) 0)) $x8749)) (= $x4861 (or $x9248 $x4690 $x8749)))))
-(let ((@x8874 (trans (monotonicity @x9087 (= $x8927 (or $x3734 (or $x9248 $x4690 $x8749)))) (rewrite (= (or $x3734 (or $x9248 $x4690 $x8749)) $x8567)) (= $x8927 $x8567))))
-(let ((@x8397 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!20)) $x8927) @x8874 $x8567) (hypothesis $x3729) (hypothesis $x4689) (or $x9248 $x8749))))
-(let ((@x5592 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x9251 (not $x8534) (not $x8266))) (unit-resolution @x8397 (hypothesis $x8507) $x8749) @x8083 @x10143 false)))
-(let ((@x8013 (unit-resolution (lemma @x5592 (or $x9248 $x3734 $x4690 (not $x7707) (not $x4391) (not $x5977))) @x8348 (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x8987 @x8177 @x6085 @x8812 false)))
-(let ((@x3278 (def-axiom (or $x3746 $x2811 $x3740))))
-(let ((@x8433 (unit-resolution @x3278 (unit-resolution (def-axiom (or $x3749 $x3743)) @x9296 $x3743) $x3743)))
-(let (($x3378 (not $x1896)))
-(let ((@x3380 (def-axiom (or $x2806 $x3378))))
-(let ((@x8434 (unit-resolution @x3380 (unit-resolution @x8433 (lemma @x8013 $x3737) $x2811) $x3378)))
-(let ((?x6619 (fun_app$c v_b_SP_G_1$ ?v1!18)))
-(let (($x6615 (= ?x1892 ?x6619)))
-(let (($x7618 (not $x6615)))
-(let ((@x7591 (hypothesis $x2811)))
-(let ((@x7607 (unit-resolution (def-axiom (or $x2806 $x1883)) @x7591 $x1883)))
-(let ((@x7571 (hypothesis $x3378)))
-(let (($x1889 (not $x1888)))
-(let ((@x7592 (unit-resolution (def-axiom (or $x2806 $x1889)) @x7591 $x1889)))
-(let ((?x7110 (pair$ v_b_v_G_1$ ?v0!19)))
-(let ((?x7111 (b_G$ ?x7110)))
-(let ((?x7100 (* (- 1) ?x7111)))
-(let ((?x7554 (+ ?x1885 ?x7100)))
-(let (($x7556 (>= ?x7554 0)))
-(let (($x7003 (= ?x1885 ?x7111)))
-(let (($x7243 (= ?v1!18 v_b_v_G_1$)))
-(let (($x7246 (fun_app$ v_b_Visited_G_1$ ?v1!18)))
-(let (($x6211 (not $x7246)))
-(let (($x7248 (>= (+ ?x1885 ?x6619 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
-(let (($x7499 (not $x7248)))
-(let ((?x6721 (* (- 1) ?x6619)))
-(let ((?x5600 (+ ?x1892 ?x6721)))
-(let (($x7353 (>= ?x5600 0)))
-(let ((@x8658 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7618 $x7353)) (hypothesis $x6615) $x7353)))
-(let (($x7076 (<= (+ ?x1893 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
-(let (($x7084 (or $x3691 $x7076)))
-(let (($x7081 (= (or $x3691 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)) $x7084)))
-(let ((@x7078 (rewrite (= (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0) $x7076))))
-(let (($x7048 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)))
-(let (($x7069 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)))))
-(let ((@x7073 (monotonicity (rewrite $x7069) (= $x7048 (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0)))))
-(let ((@x7090 (trans (monotonicity (trans @x7073 @x7078 (= $x7048 $x7076)) $x7081) (rewrite (= $x7084 $x7084)) $x7081)))
-(let ((@x7496 (unit-resolution (mp ((_ quant-inst ?v0!19) (or $x3691 $x7048)) @x7090 $x7084) @x6892 $x7076)))
-(let ((@x7501 (lemma ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x7248) @x7571 @x7496 (hypothesis $x7353) false) (or $x7499 $x1896 (not $x7353)))))
-(let ((@x6992 (rewrite (= (or $x3578 (or $x6211 $x1888 $x7248)) (or $x3578 $x6211 $x1888 $x7248)))))
-(let ((@x7051 (mp ((_ quant-inst ?v0!19 ?v1!18) (or $x3578 (or $x6211 $x1888 $x7248))) @x6992 (or $x3578 $x6211 $x1888 $x7248))))
-(let ((@x8673 (unit-resolution (unit-resolution @x7051 @x4223 (hypothesis $x1889) (or $x6211 $x7248)) (unit-resolution @x7501 @x8658 @x7571 $x7499) $x6211)))
-(let (($x7222 (or $x7243 $x7246)))
-(let (($x6667 (fun_app$ ?x265 ?v1!18)))
-(let (($x6740 (= $x6667 $x7222)))
-(let (($x6746 (or $x4114 $x6740)))
-(let ((@x6743 (monotonicity (rewrite (= (ite $x7243 true $x7246) $x7222)) (= (= $x6667 (ite $x7243 true $x7246)) $x6740))))
-(let ((@x6845 (monotonicity @x6743 (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
-(let ((@x4954 (trans @x6845 (rewrite (= $x6746 $x6746)) (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
-(let ((@x6537 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!18) (or $x4114 (= $x6667 (ite $x7243 true $x7246)))) @x4954 $x6746)))
-(let ((@x8675 (mp (hypothesis $x1883) (symm (monotonicity @x5875 (= $x6667 $x1883)) (= $x1883 $x6667)) $x6667)))
-(let ((@x8676 (unit-resolution (def-axiom (or (not $x6740) (not $x6667) $x7222)) @x8675 (unit-resolution @x6537 @x3473 $x6740) $x7222)))
-(let ((@x4955 (def-axiom (or (not $x7222) $x7243 $x7246))))
-(let ((@x7000 (unit-resolution (hypothesis (not $x7003)) (monotonicity (monotonicity (hypothesis $x7243) (= ?x1884 ?x7110)) $x7003) false)))
-(let ((@x7002 (lemma @x7000 (or (not $x7243) $x7003))))
-(let ((@x7011 ((_ th-lemma arith triangle-eq) (or (not $x7003) $x7556))))
-(let ((@x8679 (unit-resolution @x7011 (unit-resolution @x7002 (unit-resolution @x4955 @x8676 @x8673 $x7243) $x7003) $x7556)))
-(let (($x7102 (<= (+ b_Infinity$ ?x7100) 0)))
-(let ((?x7171 (+ ?x257 ?x1894 ?x7111)))
-(let (($x7252 (>= ?x7171 0)))
-(let (($x7576 (not $x7252)))
-(let (($x7366 (<= (+ ?x257 ?x6721) 0)))
-(let (($x8449 (or $x3665 $x7246 $x7366)))
-(let (($x7357 (>= (+ ?x6619 ?x1173) 0)))
-(let (($x7358 (or $x7246 $x7357)))
-(let (($x8450 (or $x3665 $x7358)))
-(let ((@x8441 (monotonicity (rewrite (= (+ ?x6619 ?x1173) (+ ?x1173 ?x6619))) (= $x7357 (>= (+ ?x1173 ?x6619) 0)))))
-(let ((@x8445 (trans @x8441 (rewrite (= (>= (+ ?x1173 ?x6619) 0) $x7366)) (= $x7357 $x7366))))
-(let ((@x8454 (monotonicity (monotonicity @x8445 (= $x7358 (or $x7246 $x7366))) (= $x8450 (or $x3665 (or $x7246 $x7366))))))
-(let ((@x8458 (trans @x8454 (rewrite (= (or $x3665 (or $x7246 $x7366)) $x8449)) (= $x8450 $x8449))))
-(let ((@x8681 (unit-resolution (mp ((_ quant-inst ?v1!18) $x8450) @x8458 $x8449) (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) @x8673 $x7366)))
-(let ((@x8685 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 1) (or $x7576 $x1896 (not $x7353) (not $x7366) (not $x7556))) @x8681 @x8679 @x7571 @x8658 $x7576)))
-(let ((@x8686 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x7171 0)) $x7252)) @x8685 (not (= ?x7171 0)))))
-(let (($x7117 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19)) ?x7111) 0)))
-(let (($x7161 (not $x7117)))
-(let ((@x8688 ((_ th-lemma arith assign-bounds -1 -1 1 -1 1) (or $x7161 (not $x7076) $x1896 (not $x7353) (not $x7366) (not $x7556)))))
-(let (($x7174 (= ?x7171 0)))
-(let (($x7184 (or $x7102 $x7117 $x7174)))
-(let (($x7186 (or $x3675 $x7102 $x7117 $x7174)))
-(let (($x7104 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) 0)))
-(let (($x7165 (or $x7102 $x7104 (= (+ ?x257 ?x7111 ?x1894) 0))))
-(let (($x7187 (or $x3675 $x7165)))
-(let ((@x7183 (monotonicity (rewrite (= (+ ?x257 ?x7111 ?x1894) ?x7171)) (= (= (+ ?x257 ?x7111 ?x1894) 0) $x7174))))
-(let ((@x7119 (rewrite (= (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0) $x7117))))
-(let (($x7112 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100))))
-(let ((@x7115 (monotonicity (rewrite $x7112) (= $x7104 (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0)))))
-(let ((@x7205 (monotonicity (monotonicity (trans @x7115 @x7119 (= $x7104 $x7117)) @x7183 (= $x7165 $x7184)) (= $x7187 (or $x3675 $x7184)))))
-(let ((@x7250 (mp ((_ quant-inst ?v0!19) $x7187) (trans @x7205 (rewrite (= (or $x3675 $x7184) $x7186)) (= $x7187 $x7186)) $x7186)))
-(let ((@x8690 (unit-resolution (unit-resolution @x7250 @x6588 $x7184) (unit-resolution @x8688 @x8681 @x8679 @x7571 @x8658 @x7496 $x7161) @x8686 $x7102)))
-(let ((@x8693 (lemma ((_ th-lemma arith farkas -1 1 1) @x8690 @x8679 (hypothesis $x1889) false) (or $x7618 $x1888 $x1896 $x2791))))
-(let ((@x7245 (mp ((_ quant-inst ?v1!18) (or $x3700 (or $x2791 $x6615))) (rewrite (= (or $x3700 (or $x2791 $x6615)) (or $x3700 $x2791 $x6615))) (or $x3700 $x2791 $x6615))))
-(let ((@x8285 (unit-resolution @x7245 @x7616 @x7607 (unit-resolution @x8693 @x7592 @x7571 @x7607 $x7618) false)))
-(unit-resolution (lemma @x8285 (or $x2806 $x1896)) @x8434 (unit-resolution @x8433 (lemma @x8013 $x3737) $x2811) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/SMT_Examples/Boogie_Max.certs	Thu Sep 18 00:03:46 2014 +0200
@@ -0,0 +1,780 @@
+9c420ec314a920506e90cf4b4e40b4ee3ab35dec 779 0
+unsat
+((set-logic AUFLIA)
+(declare-fun ?v0!3 () Int)
+(declare-fun ?v0!2 () Int)
+(declare-fun ?v0!1 () Int)
+(declare-fun ?v0!0 () Int)
+(proof
+(let (($x109 (= v_b_max_G_3$ v_b_max_G_2$)))
+(let ((?x135 (v_b_array$ v_b_k_G_1$)))
+(let (($x136 (= ?x135 v_b_max_G_3$)))
+(let (($x1878 (forall ((?v0 Int) )(!(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
+(let (($x733 (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x733 $x746))))) :pattern ( (v_b_array$ ?v0) )))
+))
+(let (($x1883 (not $x1878)))
+(let (($x1886 (or $x1883 $x136)))
+(let (($x1889 (not $x1886)))
+(let (($x1070 (>= (+ v_b_max_G_3$ (* (- 1) (v_b_array$ ?v0!3))) 0)))
+(let (($x1048 (<= (+ v_b_p_G_1$ (* (- 1) ?v0!3)) 0)))
+(let (($x931 (>= ?v0!3 0)))
+(let (($x1298 (not $x931)))
+(let (($x1313 (or $x1298 $x1048 $x1070)))
+(let (($x1318 (not $x1313)))
+(let (($x1892 (or $x1318 $x1889)))
+(let (($x1895 (not $x1892)))
+(let (($x682 (>= v_b_p_G_1$ 2)))
+(let (($x1364 (not $x682)))
+(let (($x679 (>= v_b_k_G_1$ 0)))
+(let (($x1363 (not $x679)))
+(let ((?x685 (* (- 1) v_b_p_G_1$)))
+(let ((?x686 (+ v_b_p_G_0$ ?x685)))
+(let (($x684 (= ?x686 (- 1))))
+(let (($x1362 (not $x684)))
+(let (($x573 (>= v_b_p_G_0$ 1)))
+(let (($x1287 (not $x573)))
+(let (($x1361 (not $x109)))
+(let (($x107 (= v_b_k_G_1$ v_b_p_G_0$)))
+(let (($x1360 (not $x107)))
+(let ((?x101 (v_b_array$ v_b_p_G_0$)))
+(let (($x104 (= v_b_max_G_2$ ?x101)))
+(let (($x1359 (not $x104)))
+(let (($x689 (>= (+ v_b_max_G_1$ (* (- 1) ?x101)) 0)))
+(let (($x571 (>= v_b_k_G_0$ 0)))
+(let (($x1286 (not $x571)))
+(let (($x1898 (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1895)))
+(let (($x1901 (not $x1898)))
+(let (($x145 (= v_b_max_G_3$ v_b_max_G_1$)))
+(let (($x1376 (not $x145)))
+(let (($x144 (= v_b_k_G_1$ v_b_k_G_0$)))
+(let (($x1375 (not $x144)))
+(let (($x692 (not $x689)))
+(let (($x1904 (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1895)))
+(let ((?x937 (v_b_array$ ?v0!3)))
+(let (($x1559 (= ?x101 ?x937)))
+(let (($x1563 (not $x1559)))
+(let ((?x1068 (* (- 1) ?x937)))
+(let ((?x1461 (+ ?x101 ?x1068)))
+(let (($x1445 (>= ?x1461 0)))
+(let (($x1453 (not $x1445)))
+(let (($x1907 (not $x1904)))
+(let ((@x2149 (hypothesis $x1907)))
+(let ((?x744 (* (- 1) v_b_max_G_3$)))
+(let ((?x1781 (+ v_b_max_G_1$ ?x744)))
+(let (($x1782 (<= ?x1781 0)))
+(let (($x1780 (= v_b_max_G_1$ v_b_max_G_3$)))
+(let ((@x2162 (mp (unit-resolution (def-axiom (or $x1904 $x145)) @x2149 $x145) (symm (commutativity (= $x1780 $x145)) (= $x145 $x1780)) $x1780)))
+(let (($x1436 (not $x1070)))
+(let ((?x62 (v_b_array$ v_b_k_G_0$)))
+(let (($x63 (= ?x62 v_b_max_G_1$)))
+(let (($x1910 (or $x1901 $x1907)))
+(let (($x1913 (not $x1910)))
+(let ((?x549 (* (- 1) v_b_p_G_0$)))
+(let ((?x599 (+ v_b_length$ ?x549)))
+(let (($x600 (<= ?x599 0)))
+(let (($x1916 (or $x600 $x1286 $x1287 $x1913)))
+(let (($x1919 (not $x1916)))
+(let (($x1011 (>= (+ v_b_max_G_4$ (* (- 1) (v_b_array$ ?v0!2))) 0)))
+(let (($x900 (<= (+ v_b_length$ (* (- 1) ?v0!2)) 0)))
+(let (($x897 (>= ?v0!2 0)))
+(let (($x1247 (not $x897)))
+(let (($x889 (= (v_b_array$ ?v0!1) v_b_max_G_4$)))
+(let (($x884 (<= (+ v_b_length$ (* (- 1) ?v0!1)) 0)))
+(let (($x881 (>= ?v0!1 0)))
+(let (($x1227 (not $x881)))
+(let (($x1242 (or $x1227 $x884 $x889)))
+(let (($x1273 (not $x1242)))
+(let (($x1274 (or $x1273 $x1247 $x900 $x1011)))
+(let (($x1275 (not $x1274)))
+(let (($x1861 (forall ((?v0 Int) )(!(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x622 (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(let (($x1216 (or $x1157 $x622 $x86)))
+(not $x1216))))))) :pattern ( (v_b_array$ ?v0) )))
+))
+(let (($x1866 (or $x1861 $x1275)))
+(let (($x1869 (not $x1866)))
+(let (($x75 (= v_b_p_G_2$ v_b_p_G_0$)))
+(let (($x1290 (not $x75)))
+(let (($x73 (= v_b_max_G_4$ v_b_max_G_1$)))
+(let (($x1289 (not $x73)))
+(let (($x71 (= v_b_k_G_2$ v_b_k_G_0$)))
+(let (($x1288 (not $x71)))
+(let (($x661 (not $x600)))
+(let (($x1872 (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 $x1869)))
+(let (($x1875 (not $x1872)))
+(let (($x1922 (or $x1875 $x1919)))
+(let (($x1925 (not $x1922)))
+(let (($x1403 (not $x63)))
+(let (($x1853 (forall ((?v0 Int) )(!(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x548 (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x548 $x561))))) :pattern ( (v_b_array$ ?v0) )))
+))
+(let (($x1858 (not $x1853)))
+(let ((?x30 (v_b_array$ 0)))
+(let (($x50 (= ?x30 v_b_max_G_0$)))
+(let (($x851 (not $x50)))
+(let (($x1928 (or $x851 $x1858 $x1403 $x1286 $x1287 $x1925)))
+(let (($x1931 (not $x1928)))
+(let (($x1934 (or $x851 $x1931)))
+(let (($x1937 (not $x1934)))
+(let (($x1845 (forall ((?v0 Int) )(!(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
+(let (($x524 (>= ?v0 1)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x524 $x534))))) :pattern ( (v_b_array$ ?v0) )))
+))
+(let (($x1850 (not $x1845)))
+(let (($x1940 (or $x1850 $x1937)))
+(let (($x1943 (not $x1940)))
+(let (($x839 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0!0))) 0)))
+(let (($x832 (>= ?v0!0 1)))
+(let (($x835 (>= ?v0!0 0)))
+(let (($x1134 (not $x835)))
+(let (($x1149 (or $x1134 $x832 $x839)))
+(let (($x833 (not $x832)))
+(let (($x1154 (not $x1149)))
+(let ((@x1726 (hypothesis $x1154)))
+(let ((@x1711 ((_ th-lemma arith eq-propagate 0 0) (unit-resolution (def-axiom (or $x1149 $x835)) @x1726 $x835) (unit-resolution (def-axiom (or $x1149 $x833)) @x1726 $x833) (= ?v0!0 0))))
+(let ((@x1715 (symm (monotonicity @x1711 (= (v_b_array$ ?v0!0) ?x30)) (= ?x30 (v_b_array$ ?v0!0)))))
+(let (($x31 (= v_b_max_G_0$ ?x30)))
+(let (($x495 (<= v_b_length$ 0)))
+(let (($x496 (not $x495)))
+(let (($x511 (and $x496 $x31)))
+(let (($x752 (forall ((?v0 Int) )(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x738 (and $x521 (not (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))))
+(let (($x741 (not $x738)))
+(or $x741 $x746))))))
+))
+(let (($x755 (not $x752)))
+(let (($x758 (or $x755 $x136)))
+(let (($x761 (and $x752 $x758)))
+(let (($x784 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682)))
+(let (($x789 (not $x784)))
+(let (($x792 (or $x789 $x761)))
+(let (($x725 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682)))
+(let (($x730 (not $x725)))
+(let (($x764 (or $x730 $x761)))
+(let (($x795 (and $x764 $x792)))
+(let (($x670 (and $x661 $x571 $x573)))
+(let (($x675 (not $x670)))
+(let (($x798 (or $x675 $x795)))
+(let (($x649 (forall ((?v0 Int) )(let (($x521 (>= ?v0 0)))
+(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
+(let (($x629 (not $x626)))
+(or $x629 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_4$)) 0))))))
+))
+(let (($x635 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x521 (>= ?v0 0)))
+(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
+(let (($x629 (not $x626)))
+(or $x629 $x86)))))))
+))
+(let (($x638 (not $x635)))
+(let (($x652 (or $x638 $x649)))
+(let (($x655 (and $x635 $x652)))
+(let (($x612 (and $x600 $x571 $x573 $x71 $x73 $x75)))
+(let (($x617 (not $x612)))
+(let (($x658 (or $x617 $x655)))
+(let (($x801 (and $x658 $x798)))
+(let (($x567 (forall ((?v0 Int) )(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x553 (and $x521 (not (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))))
+(let (($x556 (not $x553)))
+(or $x556 $x561))))))
+))
+(let (($x591 (and $x50 $x567 $x63 $x571 $x573)))
+(let (($x596 (not $x591)))
+(let (($x804 (or $x596 $x801)))
+(let (($x807 (and $x50 $x804)))
+(let (($x541 (forall ((?v0 Int) )(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x526 (and $x521 (not (>= ?v0 1)))))
+(let (($x529 (not $x526)))
+(or $x529 $x534))))))
+))
+(let (($x544 (not $x541)))
+(let (($x810 (or $x544 $x807)))
+(let (($x813 (and $x541 $x810)))
+(let (($x819 (not (or (not $x511) $x813))))
+(let (($x138 (=> (and $x136 false) true)))
+(let (($x139 (and $x136 $x138)))
+(let (($x134 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x132 (<= ?x46 v_b_max_G_3$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x131 (and $x43 (< ?v0 v_b_p_G_1$))))
+(=> $x131 $x132))))))
+))
+(let (($x140 (=> $x134 $x139)))
+(let (($x141 (and $x134 $x140)))
+(let (($x119 (and (= v_b_p_G_1$ (+ v_b_p_G_0$ 1)) (and (and (<= 0 v_b_k_G_1$) (<= 2 v_b_p_G_1$)) true))))
+(let (($x54 (<= 1 v_b_p_G_0$)))
+(let (($x110 (<= 0 v_b_k_G_1$)))
+(let (($x111 (and $x110 $x54)))
+(let (($x121 (and true (and $x111 $x119))))
+(let (($x148 (and true (and $x144 (and $x145 $x121)))))
+(let (($x55 (and (<= 0 v_b_k_G_0$) $x54)))
+(let (($x143 (<= ?x101 v_b_max_G_1$)))
+(let (($x152 (and true (and $x55 (and $x143 (and $x55 $x148))))))
+(let (($x153 (=> $x152 $x141)))
+(let (($x126 (and $x104 (and (and $x54 $x54) (and true (and $x107 (and $x109 $x121)))))))
+(let (($x102 (< v_b_max_G_1$ ?x101)))
+(let (($x129 (and true (and $x55 (and $x102 $x126)))))
+(let (($x142 (=> $x129 $x141)))
+(let (($x155 (=> (and true (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))) (and $x142 $x153))))
+(let (($x91 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x89 (<= ?x46 v_b_max_G_4$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x85 (and $x43 (< ?v0 v_b_length$))))
+(=> $x85 $x89))))))
+))
+(let (($x92 (=> $x91 true)))
+(let (($x93 (and $x91 $x92)))
+(let (($x88 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
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+(let (($x85 (and $x43 (< ?v0 v_b_length$))))
+(=> $x85 $x86))))))
+))
+(let (($x94 (=> $x88 $x93)))
+(let (($x69 (<= v_b_length$ v_b_p_G_0$)))
+(let (($x81 (and $x69 (and $x55 (and true (and $x71 (and $x73 (and $x75 true))))))))
+(let (($x83 (and true (and $x55 $x81))))
+(let (($x96 (=> $x83 (and $x88 $x94))))
+(let (($x64 (and $x63 $x55)))
+(let (($x61 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x59 (<= ?x46 v_b_max_G_1$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x57 (and $x43 (< ?v0 v_b_p_G_0$))))
+(=> $x57 $x59))))))
+))
+(let (($x67 (and true (and $x55 (and $x61 $x64)))))
+(let (($x157 (=> (and $x50 $x67) (and $x96 $x155))))
+(let (($x49 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x47 (<= ?x46 v_b_max_G_0$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x45 (and $x43 (< ?v0 1))))
+(=> $x45 $x47))))))
+))
+(let (($x159 (=> $x49 (and $x50 $x157))))
+(let (($x32 (<= 0 0)))
+(let (($x38 (and $x31 (and $x32 (and $x32 (and (<= 1 1) (<= 1 1)))))))
+(let (($x39 (and true $x38)))
+(let (($x28 (< 0 v_b_length$)))
+(let (($x41 (and true (and $x28 $x39))))
+(let (($x161 (=> $x41 (and $x49 $x159))))
+(let (($x162 (not $x161)))
+(let (($x362 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x132 (<= ?x46 v_b_max_G_3$)))
+(or (not (and (<= 0 ?v0) (< ?v0 v_b_p_G_1$))) $x132))))
+))
+(let (($x385 (or (not $x362) $x136)))
+(let (($x390 (and $x362 $x385)))
+(let (($x117 (and $x110 (<= 2 v_b_p_G_1$))))
+(let (($x308 (= v_b_p_G_1$ (+ 1 v_b_p_G_0$))))
+(let (($x313 (and $x308 $x117)))
+(let (($x316 (and $x111 $x313)))
+(let (($x402 (and $x145 $x316)))
+(let (($x405 (and $x144 $x402)))
+(let (($x415 (and $x55 $x405)))
+(let (($x418 (and $x143 $x415)))
+(let (($x421 (and $x55 $x418)))
+(let (($x435 (or (not $x421) $x390)))
+(let (($x326 (and $x109 $x316)))
+(let (($x329 (and $x107 $x326)))
+(let (($x339 (and $x54 $x329)))
+(let (($x342 (and $x104 $x339)))
+(let (($x345 (and $x102 $x342)))
+(let (($x348 (and $x55 $x345)))
+(let (($x397 (or (not $x348) $x390)))
+(let (($x440 (and $x397 $x435)))
+(let (($x447 (or (not (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))) $x440)))
+(let (($x263 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x89 (<= ?x46 v_b_max_G_4$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x85 (and $x43 (< ?v0 v_b_length$))))
+(let (($x253 (not $x85)))
+(or $x253 $x89)))))))
+))
+(let (($x257 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x43 (<= 0 ?v0)))
+(let (($x85 (and $x43 (< ?v0 v_b_length$))))
+(let (($x253 (not $x85)))
+(or $x253 $x86)))))))
+))
+(let (($x284 (or (not $x257) $x263)))
+(let (($x289 (and $x257 $x284)))
+(let (($x296 (or (not (and $x55 (and $x69 (and $x55 (and $x71 (and $x73 $x75)))))) $x289)))
+(let (($x452 (and $x296 $x447)))
+(let (($x203 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x59 (<= ?x46 v_b_max_G_1$)))
+(or (not (and (<= 0 ?v0) (< ?v0 v_b_p_G_0$))) $x59))))
+))
+(let (($x206 (and $x203 $x64)))
+(let (($x209 (and $x55 $x206)))
+(let (($x219 (and $x50 $x209)))
+(let (($x459 (or (not $x219) $x452)))
+(let (($x464 (and $x50 $x459)))
+(let (($x196 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x47 (<= ?x46 v_b_max_G_0$)))
+(or (not (and (<= 0 ?v0) (< ?v0 1))) $x47))))
+))
+(let (($x471 (or (not $x196) $x464)))
+(let (($x476 (and $x196 $x471)))
+(let (($x483 (or (not (and $x28 (and $x31 (and $x32 (and $x32 (<= 1 1)))))) $x476)))
+(let (($x746 (<= (+ (v_b_array$ ?0) ?x744) 0)))
+(let (($x521 (>= ?0 0)))
+(let (($x738 (and $x521 (not (>= (+ ?0 ?x685) 0)))))
+(let (($x741 (not $x738)))
+(let (($x749 (or $x741 $x746)))
+(let ((?x46 (v_b_array$ ?0)))
+(let (($x132 (<= ?x46 v_b_max_G_3$)))
+(let (($x359 (or (not (and (<= 0 ?0) (< ?0 v_b_p_G_1$))) $x132)))
+(let ((@x520 (rewrite (= (<= 0 ?0) $x521))))
+(let ((@x740 (monotonicity @x520 (rewrite (= (< ?0 v_b_p_G_1$) (not (>= (+ ?0 ?x685) 0)))) (= (and (<= 0 ?0) (< ?0 v_b_p_G_1$)) $x738))))
+(let ((@x743 (monotonicity @x740 (= (not (and (<= 0 ?0) (< ?0 v_b_p_G_1$))) $x741))))
+(let ((@x754 (quant-intro (monotonicity @x743 (rewrite (= $x132 $x746)) (= $x359 $x749)) (= $x362 $x752))))
+(let ((@x760 (monotonicity (monotonicity @x754 (= (not $x362) $x755)) (= $x385 $x758))))
+(let (($x772 (and $x144 (and $x145 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
+(let (($x576 (and $x571 $x573)))
+(let (($x770 (= $x402 (and $x145 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
+(let ((@x697 (monotonicity (rewrite (= $x110 $x679)) (rewrite (= (<= 2 v_b_p_G_1$) $x682)) (= $x117 (and $x679 $x682)))))
+(let ((@x700 (monotonicity (rewrite (= $x308 $x684)) @x697 (= $x313 (and $x684 (and $x679 $x682))))))
+(let ((@x575 (rewrite (= $x54 $x573))))
+(let ((@x703 (monotonicity (rewrite (= $x110 $x679)) @x575 (= $x111 (and $x679 $x573)))))
+(let ((@x706 (monotonicity @x703 @x700 (= $x316 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
+(let ((@x578 (monotonicity (rewrite (= (<= 0 v_b_k_G_0$) $x571)) @x575 (= $x55 $x576))))
+(let ((@x777 (monotonicity @x578 (monotonicity (monotonicity @x706 $x770) (= $x405 $x772)) (= $x415 (and $x576 $x772)))))
+(let ((@x780 (monotonicity (rewrite (= $x143 $x689)) @x777 (= $x418 (and $x689 (and $x576 $x772))))))
+(let ((@x783 (monotonicity @x578 @x780 (= $x421 (and $x576 (and $x689 (and $x576 $x772)))))))
+(let ((@x788 (trans @x783 (rewrite (= (and $x576 (and $x689 (and $x576 $x772))) $x784)) (= $x421 $x784))))
+(let ((@x794 (monotonicity (monotonicity @x788 (= (not $x421) $x789)) (monotonicity @x754 @x760 (= $x390 $x761)) (= $x435 $x792))))
+(let (($x710 (and $x107 (and $x109 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
+(let ((@x727 (rewrite (= (and $x576 (and $x692 (and $x104 (and $x573 $x710)))) $x725))))
+(let (($x708 (= $x326 (and $x109 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
+(let ((@x715 (monotonicity @x575 (monotonicity (monotonicity @x706 $x708) (= $x329 $x710)) (= $x339 (and $x573 $x710)))))
+(let ((@x721 (monotonicity (rewrite (= $x102 $x692)) (monotonicity @x715 (= $x342 (and $x104 (and $x573 $x710)))) (= $x345 (and $x692 (and $x104 (and $x573 $x710)))))))
+(let ((@x724 (monotonicity @x578 @x721 (= $x348 (and $x576 (and $x692 (and $x104 (and $x573 $x710))))))))
+(let ((@x732 (monotonicity (trans @x724 @x727 (= $x348 $x725)) (= (not $x348) $x730))))
+(let ((@x766 (monotonicity @x732 (monotonicity @x754 @x760 (= $x390 $x761)) (= $x397 $x764))))
+(let (($x99 (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))))
+(let ((@x666 (monotonicity (rewrite (= (< v_b_p_G_0$ v_b_length$) $x661)) @x578 (= (and (< v_b_p_G_0$ v_b_length$) $x55) (and $x661 $x576)))))
+(let ((@x674 (trans (monotonicity @x578 @x666 (= $x99 (and $x576 (and $x661 $x576)))) (rewrite (= (and $x576 (and $x661 $x576)) $x670)) (= $x99 $x670))))
+(let ((@x800 (monotonicity (monotonicity @x674 (= (not $x99) $x675)) (monotonicity @x766 @x794 (= $x440 $x795)) (= $x447 $x798))))
+(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?0)) 0)))))
+(let (($x629 (not $x626)))
+(let (($x89 (<= ?x46 v_b_max_G_4$)))
+(let (($x43 (<= 0 ?0)))
+(let (($x85 (and $x43 (< ?0 v_b_length$))))
+(let (($x253 (not $x85)))
+(let (($x260 (or $x253 $x89)))
+(let (($x624 (= (< ?0 v_b_length$) (not (<= (+ v_b_length$ (* (- 1) ?0)) 0)))))
+(let ((@x631 (monotonicity (monotonicity @x520 (rewrite $x624) (= $x85 $x626)) (= $x253 $x629))))
+(let ((@x648 (monotonicity @x631 (rewrite (= $x89 (<= (+ ?x46 (* (- 1) v_b_max_G_4$)) 0))) (= $x260 (or $x629 (<= (+ ?x46 (* (- 1) v_b_max_G_4$)) 0))))))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x632 (or $x629 $x86)))
+(let (($x254 (or $x253 $x86)))
+(let ((@x640 (monotonicity (quant-intro (monotonicity @x631 (= $x254 $x632)) (= $x257 $x635)) (= (not $x257) $x638))))
+(let ((@x657 (monotonicity (quant-intro (monotonicity @x631 (= $x254 $x632)) (= $x257 $x635)) (monotonicity @x640 (quant-intro @x648 (= $x263 $x649)) (= $x284 $x652)) (= $x289 $x655))))
+(let (($x618 (= (not (and $x55 (and $x69 (and $x55 (and $x71 (and $x73 $x75)))))) $x617)))
+(let (($x227 (and $x71 (and $x73 $x75))))
+(let (($x237 (and $x55 $x227)))
+(let (($x240 (and $x69 $x237)))
+(let (($x243 (and $x55 $x240)))
+(let ((@x608 (monotonicity (rewrite (= $x69 $x600)) (monotonicity @x578 (= $x237 (and $x576 $x227))) (= $x240 (and $x600 (and $x576 $x227))))))
+(let ((@x611 (monotonicity @x578 @x608 (= $x243 (and $x576 (and $x600 (and $x576 $x227)))))))
+(let ((@x616 (trans @x611 (rewrite (= (and $x576 (and $x600 (and $x576 $x227))) $x612)) (= $x243 $x612))))
+(let ((@x803 (monotonicity (monotonicity (monotonicity @x616 $x618) @x657 (= $x296 $x658)) @x800 (= $x452 $x801))))
+(let ((@x593 (rewrite (= (and $x50 (and $x576 (and $x567 (and $x63 $x576)))) $x591))))
+(let (($x561 (<= (+ ?x46 (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x553 (and $x521 (not (>= (+ ?0 ?x549) 0)))))
+(let (($x556 (not $x553)))
+(let (($x564 (or $x556 $x561)))
+(let (($x59 (<= ?x46 v_b_max_G_1$)))
+(let (($x200 (or (not (and $x43 (< ?0 v_b_p_G_0$))) $x59)))
+(let ((@x555 (monotonicity @x520 (rewrite (= (< ?0 v_b_p_G_0$) (not (>= (+ ?0 ?x549) 0)))) (= (and $x43 (< ?0 v_b_p_G_0$)) $x553))))
+(let ((@x566 (monotonicity (monotonicity @x555 (= (not (and $x43 (< ?0 v_b_p_G_0$))) $x556)) (rewrite (= $x59 $x561)) (= $x200 $x564))))
+(let ((@x584 (monotonicity (quant-intro @x566 (= $x203 $x567)) (monotonicity @x578 (= $x64 (and $x63 $x576))) (= $x206 (and $x567 (and $x63 $x576))))))
+(let ((@x587 (monotonicity @x578 @x584 (= $x209 (and $x576 (and $x567 (and $x63 $x576)))))))
+(let ((@x590 (monotonicity @x587 (= $x219 (and $x50 (and $x576 (and $x567 (and $x63 $x576))))))))
+(let ((@x598 (monotonicity (trans @x590 @x593 (= $x219 $x591)) (= (not $x219) $x596))))
+(let ((@x809 (monotonicity (monotonicity @x598 @x803 (= $x459 $x804)) (= $x464 $x807))))
+(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) ?x46)) 0)))
+(let (($x526 (and $x521 (not (>= ?0 1)))))
+(let (($x529 (not $x526)))
+(let (($x538 (or $x529 $x534)))
+(let (($x47 (<= ?x46 v_b_max_G_0$)))
+(let (($x193 (or (not (and $x43 (< ?0 1))) $x47)))
+(let ((@x528 (monotonicity @x520 (rewrite (= (< ?0 1) (not (>= ?0 1)))) (= (and $x43 (< ?0 1)) $x526))))
+(let ((@x540 (monotonicity (monotonicity @x528 (= (not (and $x43 (< ?0 1))) $x529)) (rewrite (= $x47 $x534)) (= $x193 $x538))))
+(let ((@x546 (monotonicity (quant-intro @x540 (= $x196 $x541)) (= (not $x196) $x544))))
+(let ((@x815 (monotonicity (quant-intro @x540 (= $x196 $x541)) (monotonicity @x546 @x809 (= $x471 $x810)) (= $x476 $x813))))
+(let (($x517 (= (not (and $x28 (and $x31 (and $x32 (and $x32 (<= 1 1)))))) (not $x511))))
+(let (($x34 (<= 1 1)))
+(let (($x166 (and $x32 $x34)))
+(let (($x169 (and $x32 $x166)))
+(let (($x172 (and $x31 $x169)))
+(let (($x182 (and $x28 $x172)))
+(let ((@x513 (rewrite (= (and $x496 (and $x31 (and true (and true true)))) $x511))))
+(let ((@x501 (monotonicity (rewrite (= $x32 true)) (rewrite (= $x34 true)) (= $x166 (and true true)))))
+(let ((@x504 (monotonicity (rewrite (= $x32 true)) @x501 (= $x169 (and true (and true true))))))
+(let ((@x507 (monotonicity @x504 (= $x172 (and $x31 (and true (and true true)))))))
+(let ((@x510 (monotonicity (rewrite (= $x28 $x496)) @x507 (= $x182 (and $x496 (and $x31 (and true (and true true))))))))
+(let ((@x818 (monotonicity (monotonicity (trans @x510 @x513 (= $x182 $x511)) $x517) @x815 (= $x483 (or (not $x511) $x813)))))
+(let ((@x369 (monotonicity (rewrite (= (and $x136 false) false)) (= $x138 (=> false true)))))
+(let ((@x373 (trans @x369 (rewrite (= (=> false true) true)) (= $x138 true))))
+(let ((@x380 (trans (monotonicity @x373 (= $x139 (and $x136 true))) (rewrite (= (and $x136 true) $x136)) (= $x139 $x136))))
+(let ((@x364 (quant-intro (rewrite (= (=> (and $x43 (< ?0 v_b_p_G_1$)) $x132) $x359)) (= $x134 $x362))))
+(let ((@x389 (trans (monotonicity @x364 @x380 (= $x140 (=> $x362 $x136))) (rewrite (= (=> $x362 $x136) $x385)) (= $x140 $x385))))
+(let ((@x310 (monotonicity (rewrite (= (+ v_b_p_G_0$ 1) (+ 1 v_b_p_G_0$))) (= (= v_b_p_G_1$ (+ v_b_p_G_0$ 1)) $x308))))
+(let ((@x315 (monotonicity @x310 (rewrite (= (and $x117 true) $x117)) (= $x119 $x313))))
+(let ((@x321 (monotonicity (monotonicity @x315 (= (and $x111 $x119) $x316)) (= $x121 (and true $x316)))))
+(let ((@x404 (monotonicity (trans @x321 (rewrite (= (and true $x316) $x316)) (= $x121 $x316)) (= (and $x145 $x121) $x402))))
+(let ((@x410 (monotonicity (monotonicity @x404 (= (and $x144 (and $x145 $x121)) $x405)) (= $x148 (and true $x405)))))
+(let ((@x417 (monotonicity (trans @x410 (rewrite (= (and true $x405) $x405)) (= $x148 $x405)) (= (and $x55 $x148) $x415))))
+(let ((@x423 (monotonicity (monotonicity @x417 (= (and $x143 (and $x55 $x148)) $x418)) (= (and $x55 (and $x143 (and $x55 $x148))) $x421))))
+(let ((@x430 (trans (monotonicity @x423 (= $x152 (and true $x421))) (rewrite (= (and true $x421) $x421)) (= $x152 $x421))))
+(let ((@x433 (monotonicity @x430 (monotonicity @x364 @x389 (= $x141 $x390)) (= $x153 (=> $x421 $x390)))))
+(let (($x340 (= (and (and $x54 $x54) (and true (and $x107 (and $x109 $x121)))) $x339)))
+(let ((@x328 (monotonicity (trans @x321 (rewrite (= (and true $x316) $x316)) (= $x121 $x316)) (= (and $x109 $x121) $x326))))
+(let ((@x334 (monotonicity (monotonicity @x328 (= (and $x107 (and $x109 $x121)) $x329)) (= (and true (and $x107 (and $x109 $x121))) (and true $x329)))))
+(let ((@x338 (trans @x334 (rewrite (= (and true $x329) $x329)) (= (and true (and $x107 (and $x109 $x121))) $x329))))
+(let ((@x344 (monotonicity (monotonicity (rewrite (= (and $x54 $x54) $x54)) @x338 $x340) (= $x126 $x342))))
+(let ((@x350 (monotonicity (monotonicity @x344 (= (and $x102 $x126) $x345)) (= (and $x55 (and $x102 $x126)) $x348))))
+(let ((@x357 (trans (monotonicity @x350 (= $x129 (and true $x348))) (rewrite (= (and true $x348) $x348)) (= $x129 $x348))))
+(let ((@x395 (monotonicity @x357 (monotonicity @x364 @x389 (= $x141 $x390)) (= $x142 (=> $x348 $x390)))))
+(let ((@x442 (monotonicity (trans @x395 (rewrite (= (=> $x348 $x390) $x397)) (= $x142 $x397)) (trans @x433 (rewrite (= (=> $x421 $x390) $x435)) (= $x153 $x435)) (= (and $x142 $x153) $x440))))
+(let ((@x445 (monotonicity (rewrite (= (and true $x99) $x99)) @x442 (= $x155 (=> $x99 $x440)))))
+(let ((@x268 (monotonicity (quant-intro (rewrite (= (=> $x85 $x89) $x260)) (= $x91 $x263)) (= $x92 (=> $x263 true)))))
+(let ((@x272 (trans @x268 (rewrite (= (=> $x263 true) true)) (= $x92 true))))
+(let ((@x275 (monotonicity (quant-intro (rewrite (= (=> $x85 $x89) $x260)) (= $x91 $x263)) @x272 (= $x93 (and $x263 true)))))
+(let ((@x282 (monotonicity (quant-intro (rewrite (= (=> $x85 $x86) $x254)) (= $x88 $x257)) (trans @x275 (rewrite (= (and $x263 true) $x263)) (= $x93 $x263)) (= $x94 (=> $x257 $x263)))))
+(let ((@x291 (monotonicity (quant-intro (rewrite (= (=> $x85 $x86) $x254)) (= $x88 $x257)) (trans @x282 (rewrite (= (=> $x257 $x263) $x284)) (= $x94 $x284)) (= (and $x88 $x94) $x289))))
+(let (($x238 (= (and $x55 (and true (and $x71 (and $x73 (and $x75 true))))) $x237)))
+(let (($x79 (and true (and $x71 (and $x73 (and $x75 true))))))
+(let ((@x226 (monotonicity (rewrite (= (and $x75 true) $x75)) (= (and $x73 (and $x75 true)) (and $x73 $x75)))))
+(let ((@x229 (monotonicity @x226 (= (and $x71 (and $x73 (and $x75 true))) $x227))))
+(let ((@x236 (trans (monotonicity @x229 (= $x79 (and true $x227))) (rewrite (= (and true $x227) $x227)) (= $x79 $x227))))
+(let ((@x245 (monotonicity (monotonicity (monotonicity @x236 $x238) (= $x81 $x240)) (= (and $x55 $x81) $x243))))
+(let ((@x252 (trans (monotonicity @x245 (= $x83 (and true $x243))) (rewrite (= (and true $x243) $x243)) (= $x83 $x243))))
+(let ((@x300 (trans (monotonicity @x252 @x291 (= $x96 (=> $x243 $x289))) (rewrite (= (=> $x243 $x289) $x296)) (= $x96 $x296))))
+(let ((@x454 (monotonicity @x300 (trans @x445 (rewrite (= (=> $x99 $x440) $x447)) (= $x155 $x447)) (= (and $x96 $x155) $x452))))
+(let ((@x205 (quant-intro (rewrite (= (=> (and $x43 (< ?0 v_b_p_G_0$)) $x59) $x200)) (= $x61 $x203))))
+(let ((@x211 (monotonicity (monotonicity @x205 (= (and $x61 $x64) $x206)) (= (and $x55 (and $x61 $x64)) $x209))))
+(let ((@x218 (trans (monotonicity @x211 (= $x67 (and true $x209))) (rewrite (= (and true $x209) $x209)) (= $x67 $x209))))
+(let ((@x457 (monotonicity (monotonicity @x218 (= (and $x50 $x67) $x219)) @x454 (= $x157 (=> $x219 $x452)))))
+(let ((@x466 (monotonicity (trans @x457 (rewrite (= (=> $x219 $x452) $x459)) (= $x157 $x459)) (= (and $x50 $x157) $x464))))
+(let ((@x198 (quant-intro (rewrite (= (=> (and $x43 (< ?0 1)) $x47) $x193)) (= $x49 $x196))))
+(let ((@x475 (trans (monotonicity @x198 @x466 (= $x159 (=> $x196 $x464))) (rewrite (= (=> $x196 $x464) $x471)) (= $x159 $x471))))
+(let ((@x168 (monotonicity (rewrite (= (and $x34 $x34) $x34)) (= (and $x32 (and $x34 $x34)) $x166))))
+(let ((@x174 (monotonicity (monotonicity @x168 (= (and $x32 (and $x32 (and $x34 $x34))) $x169)) (= $x38 $x172))))
+(let ((@x181 (trans (monotonicity @x174 (= $x39 (and true $x172))) (rewrite (= (and true $x172) $x172)) (= $x39 $x172))))
+(let ((@x187 (monotonicity (monotonicity @x181 (= (and $x28 $x39) $x182)) (= $x41 (and true $x182)))))
+(let ((@x481 (monotonicity (trans @x187 (rewrite (= (and true $x182) $x182)) (= $x41 $x182)) (monotonicity @x198 @x475 (= (and $x49 $x159) $x476)) (= $x161 (=> $x182 $x476)))))
+(let ((@x490 (monotonicity (trans @x481 (rewrite (= (=> $x182 $x476) $x483)) (= $x161 $x483)) (= $x162 (not $x483)))))
+(let ((@x823 (trans @x490 (monotonicity @x818 (= (not $x483) $x819)) (= $x162 $x819))))
+(let ((@x827 (and-elim (not-or-elim (mp (asserted $x162) @x823 $x819) $x511) $x31)))
+(let ((@x1690 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= v_b_max_G_0$ (v_b_array$ ?v0!0))) $x839)) (unit-resolution (def-axiom (or $x1149 (not $x839))) @x1726 (not $x839)) (trans @x827 @x1715 (= v_b_max_G_0$ (v_b_array$ ?v0!0))) false)))
+(let (($x1946 (or $x1154 $x1943)))
+(let (($x1340 (forall ((?v0 Int) )(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
+(let (($x733 (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x733 $x746))))))
+))
+(let (($x1348 (not (or (not $x1340) $x136))))
+(let (($x1353 (or $x1318 $x1348)))
+(let (($x1365 (not $x1353)))
+(let (($x1378 (not (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1365))))
+(let (($x1367 (not (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1365))))
+(let (($x1383 (or $x1367 $x1378)))
+(let (($x1391 (not (or $x600 $x1286 $x1287 (not $x1383)))))
+(let (($x1224 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x622 (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(let (($x1216 (or $x1157 $x622 $x86)))
+(not $x1216))))))))
+))
+(let (($x1280 (or $x1224 $x1275)))
+(let (($x1293 (not (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 (not $x1280)))))
+(let (($x1396 (or $x1293 $x1391)))
+(let (($x1199 (forall ((?v0 Int) )(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x548 (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x548 $x561))))))
+))
+(let (($x1406 (not (or $x851 (not $x1199) $x1403 $x1286 $x1287 (not $x1396)))))
+(let (($x1411 (or $x851 $x1406)))
+(let (($x1177 (forall ((?v0 Int) )(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
+(let (($x524 (>= ?v0 1)))
+(let (($x521 (>= ?v0 0)))
+(let (($x1157 (not $x521)))
+(or $x1157 $x524 $x534))))))
+))
+(let (($x1420 (not (or (not $x1177) (not $x1411)))))
+(let (($x1425 (or $x1154 $x1420)))
+(let (($x733 (>= (+ ?0 ?x685) 0)))
+(let (($x1157 (not $x521)))
+(let (($x1335 (or $x1157 $x733 $x746)))
+(let ((@x1885 (monotonicity (quant-intro (refl (= $x1335 $x1335)) (= $x1340 $x1878)) (= (not $x1340) $x1883))))
+(let ((@x1891 (monotonicity (monotonicity @x1885 (= (or (not $x1340) $x136) $x1886)) (= $x1348 $x1889))))
+(let ((@x1906 (monotonicity (monotonicity (monotonicity @x1891 (= $x1353 $x1892)) (= $x1365 $x1895)) (= (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1365) $x1904))))
+(let ((@x1900 (monotonicity (monotonicity (monotonicity @x1891 (= $x1353 $x1892)) (= $x1365 $x1895)) (= (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1365) $x1898))))
+(let ((@x1912 (monotonicity (monotonicity @x1900 (= $x1367 $x1901)) (monotonicity @x1906 (= $x1378 $x1907)) (= $x1383 $x1910))))
+(let ((@x1918 (monotonicity (monotonicity @x1912 (= (not $x1383) $x1913)) (= (or $x600 $x1286 $x1287 (not $x1383)) $x1916))))
+(let (($x622 (<= (+ v_b_length$ (* (- 1) ?0)) 0)))
+(let (($x1216 (or $x1157 $x622 $x86)))
+(let (($x1221 (not $x1216)))
+(let ((@x1868 (monotonicity (quant-intro (refl (= $x1221 $x1221)) (= $x1224 $x1861)) (= $x1280 $x1866))))
+(let ((@x1874 (monotonicity (monotonicity @x1868 (= (not $x1280) $x1869)) (= (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 (not $x1280)) $x1872))))
+(let ((@x1924 (monotonicity (monotonicity @x1874 (= $x1293 $x1875)) (monotonicity @x1918 (= $x1391 $x1919)) (= $x1396 $x1922))))
+(let (($x548 (>= (+ ?0 ?x549) 0)))
+(let (($x1194 (or $x1157 $x548 $x561)))
+(let ((@x1860 (monotonicity (quant-intro (refl (= $x1194 $x1194)) (= $x1199 $x1853)) (= (not $x1199) $x1858))))
+(let ((@x1930 (monotonicity @x1860 (monotonicity @x1924 (= (not $x1396) $x1925)) (= (or $x851 (not $x1199) $x1403 $x1286 $x1287 (not $x1396)) $x1928))))
+(let ((@x1939 (monotonicity (monotonicity (monotonicity @x1930 (= $x1406 $x1931)) (= $x1411 $x1934)) (= (not $x1411) $x1937))))
+(let ((@x1847 (refl (= (or $x1157 (>= ?0 1) $x534) (or $x1157 (>= ?0 1) $x534)))))
+(let ((@x1852 (monotonicity (quant-intro @x1847 (= $x1177 $x1845)) (= (not $x1177) $x1850))))
+(let ((@x1945 (monotonicity (monotonicity @x1852 @x1939 (= (or (not $x1177) (not $x1411)) $x1940)) (= $x1420 $x1943))))
+(let (($x951 (not $x136)))
+(let (($x954 (and $x752 $x951)))
+(let (($x1053 (not $x1048)))
+(let (($x1056 (and $x931 $x1053)))
+(let (($x1059 (not $x1056)))
+(let (($x1075 (or $x1059 $x1070)))
+(let (($x1078 (not $x1075)))
+(let (($x1081 (or $x1078 $x954)))
+(let (($x1097 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1081)))
+(let (($x1087 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1081)))
+(let (($x1102 (or $x1087 $x1097)))
+(let (($x1108 (and $x661 $x571 $x573 $x1102)))
+(let (($x903 (not (and $x897 (not $x900)))))
+(let (($x1016 (or $x903 $x1011)))
+(let (($x1019 (not $x1016)))
+(let (($x887 (not (and $x881 (not $x884)))))
+(let (($x890 (or $x887 $x889)))
+(let (($x1022 (and $x890 $x1019)))
+(let (($x877 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
+(let (($x86 (= ?x46 v_b_max_G_4$)))
+(let (($x521 (>= ?v0 0)))
+(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
+(let (($x629 (not $x626)))
+(let (($x632 (or $x629 $x86)))
+(not $x632))))))))
+))
+(let (($x1025 (or $x877 $x1022)))
+(let (($x1031 (and $x600 $x571 $x573 $x71 $x73 $x75 $x1025)))
+(let (($x1113 (or $x1031 $x1108)))
+(let (($x1119 (and $x50 $x567 $x63 $x571 $x573 $x1113)))
+(let (($x1124 (or $x851 $x1119)))
+(let (($x1127 (and $x541 $x1124)))
+(let (($x831 (not (and $x835 $x833))))
+(let (($x840 (or $x831 $x839)))
+(let (($x841 (not $x840)))
+(let (($x1130 (or $x841 $x1127)))
+(let ((@x1380 (rewrite (= (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1353) $x1378))))
+(let ((@x1327 (monotonicity (rewrite (= $x738 (not (or $x1157 $x733)))) (= $x741 (not (not (or $x1157 $x733)))))))
+(let ((@x1331 (trans @x1327 (rewrite (= (not (not (or $x1157 $x733))) (or $x1157 $x733))) (= $x741 (or $x1157 $x733)))))
+(let ((@x1339 (trans (monotonicity @x1331 (= $x749 (or (or $x1157 $x733) $x746))) (rewrite (= (or (or $x1157 $x733) $x746) $x1335)) (= $x749 $x1335))))
+(let ((@x1345 (monotonicity (quant-intro @x1339 (= $x752 $x1340)) (= $x954 (and $x1340 $x951)))))
+(let ((@x1305 (monotonicity (rewrite (= $x1056 (not (or $x1298 $x1048)))) (= $x1059 (not (not (or $x1298 $x1048)))))))
+(let ((@x1309 (trans @x1305 (rewrite (= (not (not (or $x1298 $x1048))) (or $x1298 $x1048))) (= $x1059 (or $x1298 $x1048)))))
+(let ((@x1317 (trans (monotonicity @x1309 (= $x1075 (or (or $x1298 $x1048) $x1070))) (rewrite (= (or (or $x1298 $x1048) $x1070) $x1313)) (= $x1075 $x1313))))
+(let ((@x1355 (monotonicity (monotonicity @x1317 (= $x1078 $x1318)) (trans @x1345 (rewrite (= (and $x1340 $x951) $x1348)) (= $x954 $x1348)) (= $x1081 $x1353))))
+(let ((@x1374 (monotonicity @x1355 (= $x1097 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1353)))))
+(let ((@x1369 (rewrite (= (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1353) $x1367))))
+(let ((@x1358 (monotonicity @x1355 (= $x1087 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1353)))))
+(let ((@x1385 (monotonicity (trans @x1358 @x1369 (= $x1087 $x1367)) (trans @x1374 @x1380 (= $x1097 $x1378)) (= $x1102 $x1383))))
+(let ((@x1395 (trans (monotonicity @x1385 (= $x1108 (and $x661 $x571 $x573 $x1383))) (rewrite (= (and $x661 $x571 $x573 $x1383) $x1391)) (= $x1108 $x1391))))
+(let ((@x1254 (monotonicity (rewrite (= (and $x897 (not $x900)) (not (or $x1247 $x900)))) (= $x903 (not (not (or $x1247 $x900)))))))
+(let ((@x1258 (trans @x1254 (rewrite (= (not (not (or $x1247 $x900))) (or $x1247 $x900))) (= $x903 (or $x1247 $x900)))))
+(let ((@x1266 (trans (monotonicity @x1258 (= $x1016 (or (or $x1247 $x900) $x1011))) (rewrite (= (or (or $x1247 $x900) $x1011) (or $x1247 $x900 $x1011))) (= $x1016 (or $x1247 $x900 $x1011)))))
+(let ((@x1234 (monotonicity (rewrite (= (and $x881 (not $x884)) (not (or $x1227 $x884)))) (= $x887 (not (not (or $x1227 $x884)))))))
+(let ((@x1238 (trans @x1234 (rewrite (= (not (not (or $x1227 $x884))) (or $x1227 $x884))) (= $x887 (or $x1227 $x884)))))
+(let ((@x1246 (trans (monotonicity @x1238 (= $x890 (or (or $x1227 $x884) $x889))) (rewrite (= (or (or $x1227 $x884) $x889) $x1242)) (= $x890 $x1242))))
+(let ((@x1272 (monotonicity @x1246 (monotonicity @x1266 (= $x1019 (not (or $x1247 $x900 $x1011)))) (= $x1022 (and $x1242 (not (or $x1247 $x900 $x1011)))))))
+(let ((@x1279 (trans @x1272 (rewrite (= (and $x1242 (not (or $x1247 $x900 $x1011))) $x1275)) (= $x1022 $x1275))))
+(let ((@x1208 (monotonicity (rewrite (= $x626 (not (or $x1157 $x622)))) (= $x629 (not (not (or $x1157 $x622)))))))
+(let ((@x1212 (trans @x1208 (rewrite (= (not (not (or $x1157 $x622))) (or $x1157 $x622))) (= $x629 (or $x1157 $x622)))))
+(let ((@x1220 (trans (monotonicity @x1212 (= $x632 (or (or $x1157 $x622) $x86))) (rewrite (= (or (or $x1157 $x622) $x86) $x1216)) (= $x632 $x1216))))
+(let ((@x1226 (quant-intro (monotonicity @x1220 (= (not $x632) $x1221)) (= $x877 $x1224))))
+(let ((@x1285 (monotonicity (monotonicity @x1226 @x1279 (= $x1025 $x1280)) (= $x1031 (and $x600 $x571 $x573 $x71 $x73 $x75 $x1280)))))
+(let ((@x1297 (trans @x1285 (rewrite (= (and $x600 $x571 $x573 $x71 $x73 $x75 $x1280) $x1293)) (= $x1031 $x1293))))
+(let ((@x1186 (monotonicity (rewrite (= $x553 (not (or $x1157 $x548)))) (= $x556 (not (not (or $x1157 $x548)))))))
+(let ((@x1190 (trans @x1186 (rewrite (= (not (not (or $x1157 $x548))) (or $x1157 $x548))) (= $x556 (or $x1157 $x548)))))
+(let ((@x1198 (trans (monotonicity @x1190 (= $x564 (or (or $x1157 $x548) $x561))) (rewrite (= (or (or $x1157 $x548) $x561) $x1194)) (= $x564 $x1194))))
+(let ((@x1401 (monotonicity (quant-intro @x1198 (= $x567 $x1199)) (monotonicity @x1297 @x1395 (= $x1113 $x1396)) (= $x1119 (and $x50 $x1199 $x63 $x571 $x573 $x1396)))))
+(let ((@x1410 (trans @x1401 (rewrite (= (and $x50 $x1199 $x63 $x571 $x573 $x1396) $x1406)) (= $x1119 $x1406))))
+(let (($x524 (>= ?0 1)))
+(let (($x1172 (or $x1157 $x524 $x534)))
+(let ((@x1164 (monotonicity (rewrite (= $x526 (not (or $x1157 $x524)))) (= $x529 (not (not (or $x1157 $x524)))))))
+(let ((@x1168 (trans @x1164 (rewrite (= (not (not (or $x1157 $x524))) (or $x1157 $x524))) (= $x529 (or $x1157 $x524)))))
+(let ((@x1176 (trans (monotonicity @x1168 (= $x538 (or (or $x1157 $x524) $x534))) (rewrite (= (or (or $x1157 $x524) $x534) $x1172)) (= $x538 $x1172))))
+(let ((@x1416 (monotonicity (quant-intro @x1176 (= $x541 $x1177)) (monotonicity @x1410 (= $x1124 $x1411)) (= $x1127 (and $x1177 $x1411)))))
+(let ((@x1141 (monotonicity (rewrite (= (and $x835 $x833) (not (or $x1134 $x832)))) (= $x831 (not (not (or $x1134 $x832)))))))
+(let ((@x1145 (trans @x1141 (rewrite (= (not (not (or $x1134 $x832))) (or $x1134 $x832))) (= $x831 (or $x1134 $x832)))))
+(let ((@x1153 (trans (monotonicity @x1145 (= $x840 (or (or $x1134 $x832) $x839))) (rewrite (= (or (or $x1134 $x832) $x839) $x1149)) (= $x840 $x1149))))
+(let ((@x1427 (monotonicity (monotonicity @x1153 (= $x841 $x1154)) (trans @x1416 (rewrite (= (and $x1177 $x1411) $x1420)) (= $x1127 $x1420)) (= $x1130 $x1425))))
+(let (($x939 (<= (+ ?x937 ?x744) 0)))
+(let (($x941 (not (or (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x939))))
+(let (($x958 (or $x941 $x954)))
+(let (($x966 (not $x789)))
+(let (($x969 (and $x966 $x958)))
+(let (($x927 (not $x730)))
+(let (($x962 (and $x927 $x958)))
+(let (($x973 (or $x962 $x969)))
+(let (($x924 (not $x675)))
+(let (($x977 (and $x924 $x973)))
+(let (($x908 (not (or $x903 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)))))
+(let (($x912 (and $x890 $x908)))
+(let (($x916 (or $x877 $x912)))
+(let (($x871 (not $x617)))
+(let (($x920 (and $x871 $x916)))
+(let (($x981 (or $x920 $x977)))
+(let (($x985 (and $x591 $x981)))
+(let (($x989 (or $x851 $x985)))
+(let (($x993 (and $x541 $x989)))
+(let (($x997 (or $x841 $x993)))
+(let (($x1076 (= (or (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x939) $x1075)))
+(let ((@x1067 (monotonicity (rewrite (= (+ ?x937 ?x744) (+ ?x744 ?x937))) (= $x939 (<= (+ ?x744 ?x937) 0)))))
+(let ((@x1074 (trans @x1067 (rewrite (= (<= (+ ?x744 ?x937) 0) $x1070)) (= $x939 $x1070))))
+(let ((@x1045 (monotonicity (rewrite (= (+ ?v0!3 ?x685) (+ ?x685 ?v0!3))) (= (>= (+ ?v0!3 ?x685) 0) (>= (+ ?x685 ?v0!3) 0)))))
+(let ((@x1052 (trans @x1045 (rewrite (= (>= (+ ?x685 ?v0!3) 0) $x1048)) (= (>= (+ ?v0!3 ?x685) 0) $x1048))))
+(let ((@x1058 (monotonicity (monotonicity @x1052 (= (not (>= (+ ?v0!3 ?x685) 0)) $x1053)) (= (and $x931 (not (>= (+ ?v0!3 ?x685) 0))) $x1056))))
+(let ((@x1061 (monotonicity @x1058 (= (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x1059))))
+(let ((@x1083 (monotonicity (monotonicity (monotonicity @x1061 @x1074 $x1076) (= $x941 $x1078)) (= $x958 $x1081))))
+(let ((@x1096 (monotonicity (rewrite (= $x966 $x784)) @x1083 (= $x969 (and $x784 $x1081)))))
+(let ((@x1086 (monotonicity (rewrite (= $x927 $x725)) @x1083 (= $x962 (and $x725 $x1081)))))
+(let ((@x1104 (monotonicity (trans @x1086 (rewrite (= (and $x725 $x1081) $x1087)) (= $x962 $x1087)) (trans @x1096 (rewrite (= (and $x784 $x1081) $x1097)) (= $x969 $x1097)) (= $x973 $x1102))))
+(let ((@x1107 (monotonicity (rewrite (= $x924 $x670)) @x1104 (= $x977 (and $x670 $x1102)))))
+(let (($x1017 (= (or $x903 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)) $x1016)))
+(let (($x906 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)))
+(let (($x1012 (= (<= (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)) 0) $x1011)))
+(let (($x1007 (= $x906 (<= (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)) 0))))
+(let (($x1004 (= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)))))
+(let ((@x1015 (trans (monotonicity (rewrite $x1004) $x1007) (rewrite $x1012) (= $x906 $x1011))))
+(let ((@x1024 (monotonicity (monotonicity (monotonicity @x1015 $x1017) (= $x908 $x1019)) (= $x912 $x1022))))
+(let ((@x1030 (monotonicity (rewrite (= $x871 $x612)) (monotonicity @x1024 (= $x916 $x1025)) (= $x920 (and $x612 $x1025)))))
+(let ((@x1115 (monotonicity (trans @x1030 (rewrite (= (and $x612 $x1025) $x1031)) (= $x920 $x1031)) (trans @x1107 (rewrite (= (and $x670 $x1102) $x1108)) (= $x977 $x1108)) (= $x981 $x1113))))
+(let ((@x1123 (trans (monotonicity @x1115 (= $x985 (and $x591 $x1113))) (rewrite (= (and $x591 $x1113) $x1119)) (= $x985 $x1119))))
+(let ((@x1132 (monotonicity (monotonicity (monotonicity @x1123 (= $x989 $x1124)) (= $x993 $x1127)) (= $x997 $x1130))))
+(let ((@x950 (nnf-neg (nnf-pos (refl (~ $x749 $x749)) (~ $x752 $x752)) (~ (not $x755) $x752))))
+(let ((@x961 (nnf-neg (sk (~ $x755 $x941)) (nnf-neg @x950 (refl (~ $x951 $x951)) (~ (not $x758) $x954)) (~ (not $x761) $x958))))
+(let ((@x976 (nnf-neg (nnf-neg (refl (~ $x927 $x927)) @x961 (~ (not $x764) $x962)) (nnf-neg (refl (~ $x966 $x966)) @x961 (~ (not $x792) $x969)) (~ (not $x795) $x973))))
+(let ((@x915 (nnf-neg (nnf-neg (sk (~ $x635 $x890)) (~ (not $x638) $x890)) (sk (~ (not $x649) $x908)) (~ (not $x652) $x912))))
+(let ((@x919 (nnf-neg (nnf-neg (refl (~ (not $x632) (not $x632))) (~ $x638 $x877)) @x915 (~ (not $x655) $x916))))
+(let ((@x984 (nnf-neg (nnf-neg (refl (~ $x871 $x871)) @x919 (~ (not $x658) $x920)) (nnf-neg (refl (~ $x924 $x924)) @x976 (~ (not $x798) $x977)) (~ (not $x801) $x981))))
+(let ((@x867 (monotonicity (refl (~ $x50 $x50)) (nnf-pos (refl (~ $x564 $x564)) (~ $x567 $x567)) (refl (~ $x63 $x63)) (refl (~ $x571 $x571)) (refl (~ $x573 $x573)) (~ $x591 $x591))))
+(let ((@x988 (nnf-neg (nnf-neg @x867 (~ (not $x596) $x591)) @x984 (~ (not $x804) $x985))))
+(let ((@x850 (nnf-neg (nnf-pos (refl (~ $x538 $x538)) (~ $x541 $x541)) (~ (not $x544) $x541))))
+(let ((@x996 (nnf-neg @x850 (nnf-neg (refl (~ $x851 $x851)) @x988 (~ (not $x807) $x989)) (~ (not $x810) $x993))))
+(let ((@x1000 (mp~ (not-or-elim (mp (asserted $x162) @x823 $x819) (not $x813)) (nnf-neg (sk (~ $x544 $x841)) @x996 (~ (not $x813) $x997)) $x997)))
+(let ((@x1949 (mp (mp (mp @x1000 @x1132 $x1130) @x1427 $x1425) (monotonicity @x1945 (= $x1425 $x1946)) $x1946)))
+(let ((@x2062 (unit-resolution (def-axiom (or $x1940 $x1934)) (unit-resolution @x1949 (lemma @x1690 $x1149) $x1943) $x1934)))
+(let ((@x2069 (unit-resolution (def-axiom (or $x1937 $x851 $x1931)) (mp @x827 (symm (commutativity (= $x50 $x31)) (= $x31 $x50)) $x50) (or $x1937 $x1931))))
+(let ((@x2070 (unit-resolution @x2069 @x2062 $x1931)))
+(let ((@x2170 (monotonicity (unit-resolution (def-axiom (or $x1904 $x144)) @x2149 $x144) (= ?x135 ?x62))))
+(let ((@x2173 (trans @x2170 (unit-resolution (def-axiom (or $x1928 $x63)) @x2070 $x63) (= ?x135 v_b_max_G_1$))))
+(let ((@x2174 (trans @x2173 (symm (unit-resolution (def-axiom (or $x1904 $x145)) @x2149 $x145) $x1780) $x136)))
+(let ((@x1523 (def-axiom (or $x1886 $x951))))
+(let ((@x1808 (def-axiom (or $x1895 $x1318 $x1889))))
+(let ((@x2176 (unit-resolution @x1808 (unit-resolution @x1523 @x2174 $x1886) (unit-resolution (def-axiom (or $x1904 $x1892)) @x2149 $x1892) $x1318)))
+(let ((@x1812 (def-axiom (or $x1313 $x1436))))
+(let ((@x2181 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 -1) (or $x1453 $x692 $x1070 (not $x1782))) (unit-resolution @x1812 @x2176 $x1436) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x1780) $x1782)) @x2162 $x1782) (unit-resolution (def-axiom (or $x1904 $x689)) @x2149 $x689) $x1453)))
+(let ((@x1565 ((_ th-lemma arith triangle-eq) (or $x1563 $x1445))))
+(let (($x1558 (= v_b_p_G_0$ ?v0!3)))
+(let ((?x1046 (* (- 1) ?v0!3)))
+(let ((?x1510 (+ v_b_p_G_0$ ?x1046)))
+(let (($x1560 (>= ?x1510 0)))
+(let (($x1522 (>= ?x686 (- 1))))
+(let ((@x2186 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1362 $x1522)) (unit-resolution (def-axiom (or $x1904 $x684)) @x2149 $x684) $x1522)))
+(let ((@x2190 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1) (or $x1560 $x1048 (not $x1522))) (unit-resolution (def-axiom (or $x1313 $x1053)) @x2176 $x1053) @x2186 $x1560)))
+(let (($x1511 (<= ?x1510 0)))
+(let (($x1488 (>= (+ v_b_max_G_1$ ?x1068) 0)))
+(let (($x1955 (not $x1488)))
+(let ((@x2193 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1) (or $x1955 $x1070 (not $x1782))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x1780) $x1782)) @x2162 $x1782) (unit-resolution @x1812 @x2176 $x1436) $x1955)))
+(let ((@x2093 (unit-resolution (def-axiom (or $x1928 $x1853)) @x2070 $x1853)))
+(let (($x1476 (or $x1858 $x1298 $x1511 $x1488)))
+(let (($x1535 (<= (+ ?x937 (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x1549 (>= (+ ?v0!3 ?x549) 0)))
+(let (($x1501 (or $x1298 $x1549 $x1535)))
+(let (($x1464 (or $x1858 $x1501)))
+(let (($x1478 (= (+ ?x937 (* (- 1) v_b_max_G_1$)) (+ (* (- 1) v_b_max_G_1$) ?x937))))
+(let ((@x1486 (monotonicity (rewrite $x1478) (= $x1535 (<= (+ (* (- 1) v_b_max_G_1$) ?x937) 0)))))
+(let ((@x1472 (trans @x1486 (rewrite (= (<= (+ (* (- 1) v_b_max_G_1$) ?x937) 0) $x1488)) (= $x1535 $x1488))))
+(let ((@x1509 (monotonicity (rewrite (= (+ ?v0!3 ?x549) (+ ?x549 ?v0!3))) (= $x1549 (>= (+ ?x549 ?v0!3) 0)))))
+(let ((@x1497 (trans @x1509 (rewrite (= (>= (+ ?x549 ?v0!3) 0) $x1511)) (= $x1549 $x1511))))
+(let ((@x1470 (monotonicity (monotonicity @x1497 @x1472 (= $x1501 (or $x1298 $x1511 $x1488))) (= $x1464 (or $x1858 (or $x1298 $x1511 $x1488))))))
+(let ((@x1450 (trans @x1470 (rewrite (= (or $x1858 (or $x1298 $x1511 $x1488)) $x1476)) (= $x1464 $x1476))))
+(let ((@x2195 (unit-resolution (mp ((_ quant-inst ?v0!3) $x1464) @x1450 $x1476) @x2093 (unit-resolution (def-axiom (or $x1313 $x931)) @x2176 $x931) @x2193 $x1511)))
+(let ((@x2196 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1558 (not $x1511) (not $x1560))) @x2195 @x2190 $x1558)))
+(let ((@x1551 (monotonicity (symm (hypothesis $x1558) (= ?v0!3 v_b_p_G_0$)) (= ?x937 ?x101))))
+(let ((@x1540 (lemma (unit-resolution (hypothesis $x1563) (symm @x1551 $x1559) false) (or (not $x1558) $x1559))))
+(let ((@x2198 (lemma (unit-resolution @x1540 @x2196 (unit-resolution @x1565 @x2181 $x1563) false) $x1904)))
+(let (($x1990 (<= (+ v_b_max_G_1$ (* (- 1) v_b_max_G_4$)) 0)))
+(let (($x1988 (= v_b_max_G_1$ v_b_max_G_4$)))
+(let ((@x2109 (symm (unit-resolution (def-axiom (or $x1872 $x73)) (hypothesis $x1875) $x73) $x1988)))
+(let (($x2025 (>= (+ v_b_max_G_1$ (* (- 1) (v_b_array$ ?v0!2))) 0)))
+(let (($x901 (not $x900)))
+(let (($x1835 (not $x1861)))
+(let (($x2042 (= ?x62 v_b_max_G_4$)))
+(let (($x2043 (or $x1286 (<= (+ v_b_length$ (* (- 1) v_b_k_G_0$)) 0) $x2042)))
+(let ((@x2073 (trans (unit-resolution (def-axiom (or $x1928 $x63)) @x2070 $x63) (symm (hypothesis $x73) $x1988) $x2042)))
+(let ((@x2076 (unit-resolution ((_ quant-inst v_b_k_G_0$) (or $x1835 (not $x2043))) (hypothesis $x1861) (unit-resolution (def-axiom (or $x2043 (not $x2042))) @x2073 $x2043) false)))
+(let ((@x2115 (unit-resolution (lemma @x2076 (or $x1835 $x1289)) (unit-resolution (def-axiom (or $x1872 $x73)) (hypothesis $x1875) $x73) $x1835)))
+(let ((@x2116 (unit-resolution (def-axiom (or $x1869 $x1861 $x1275)) @x2115 (unit-resolution (def-axiom (or $x1872 $x1866)) (hypothesis $x1875) $x1866) $x1275)))
+(let ((@x2103 ((_ th-lemma arith farkas -1 -1 1) (hypothesis (<= (+ v_b_p_G_0$ (* (- 1) ?v0!2)) 0)) (hypothesis $x600) (hypothesis $x901) false)))
+(let ((@x2106 (lemma @x2103 (or (not (<= (+ v_b_p_G_0$ (* (- 1) ?v0!2)) 0)) $x661 $x900))))
+(let ((@x2119 (unit-resolution @x2106 (unit-resolution (def-axiom (or $x1872 $x600)) (hypothesis $x1875) $x600) (unit-resolution (def-axiom (or $x1274 $x901)) @x2116 $x901) (not (<= (+ v_b_p_G_0$ (* (- 1) ?v0!2)) 0)))))
+(let (($x2032 (<= (+ v_b_p_G_0$ (* (- 1) ?v0!2)) 0)))
+(let (($x2056 (or $x1858 $x1247 $x2032 $x2025)))
+(let (($x2009 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_1$)) 0)))
+(let (($x2001 (>= (+ ?v0!2 ?x549) 0)))
+(let (($x2010 (or $x1247 $x2001 $x2009)))
+(let (($x2060 (or $x1858 $x2010)))
+(let (($x2026 (= (<= (+ (* (- 1) v_b_max_G_1$) (v_b_array$ ?v0!2)) 0) $x2025)))
+(let (($x2020 (= $x2009 (<= (+ (* (- 1) v_b_max_G_1$) (v_b_array$ ?v0!2)) 0))))
+(let (($x2038 (= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_1$)) (+ (* (- 1) v_b_max_G_1$) (v_b_array$ ?v0!2)))))
+(let ((@x2052 (trans (monotonicity (rewrite $x2038) $x2020) (rewrite $x2026) (= $x2009 $x2025))))
+(let ((@x2018 (monotonicity (rewrite (= (+ ?v0!2 ?x549) (+ ?x549 ?v0!2))) (= $x2001 (>= (+ ?x549 ?v0!2) 0)))))
+(let ((@x2036 (trans @x2018 (rewrite (= (>= (+ ?x549 ?v0!2) 0) $x2032)) (= $x2001 $x2032))))
+(let ((@x2031 (monotonicity (monotonicity @x2036 @x2052 (= $x2010 (or $x1247 $x2032 $x2025))) (= $x2060 (or $x1858 (or $x1247 $x2032 $x2025))))))
+(let ((@x2079 (trans @x2031 (rewrite (= (or $x1858 (or $x1247 $x2032 $x2025)) $x2056)) (= $x2060 $x2056))))
+(let ((@x2122 (unit-resolution (mp ((_ quant-inst ?v0!2) $x2060) @x2079 $x2056) @x2093 (unit-resolution (def-axiom (or $x1274 $x897)) @x2116 $x897) (or $x2032 $x2025))))
+(let ((@x2125 ((_ th-lemma arith farkas 1 -1 1) (unit-resolution (def-axiom (or $x1274 (not $x1011))) @x2116 (not $x1011)) (unit-resolution @x2122 @x2119 $x2025) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x1988) $x1990)) @x2109 $x1990) false)))
+(let ((@x2133 (unit-resolution (def-axiom (or $x1925 $x1875 $x1919)) (lemma @x2125 $x1872) (unit-resolution (def-axiom (or $x1928 $x1922)) @x2070 $x1922) $x1919)))
+(let ((@x2003 (unit-resolution (def-axiom (or $x1913 $x1901 $x1907)) (unit-resolution (def-axiom (or $x1916 $x1910)) @x2133 $x1910) $x1910)))
+(let ((@x2004 (unit-resolution @x2003 @x2198 $x1901)))
+(let ((@x1528 (trans (monotonicity (hypothesis $x107) (= ?x135 ?x101)) (symm (hypothesis $x104) (= ?x101 v_b_max_G_2$)) (= ?x135 v_b_max_G_2$))))
+(let ((@x1529 (trans @x1528 (symm (hypothesis $x109) (= v_b_max_G_2$ v_b_max_G_3$)) $x136)))
+(let ((@x1532 (lemma (unit-resolution (hypothesis $x951) @x1529 false) (or $x136 $x1361 $x1359 $x1360))))
+(let ((@x2140 (unit-resolution @x1532 (unit-resolution (def-axiom (or $x1898 $x109)) @x2004 $x109) (unit-resolution (def-axiom (or $x1898 $x104)) @x2004 $x104) (unit-resolution (def-axiom (or $x1898 $x107)) @x2004 $x107) $x136)))
+(let ((@x2128 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1362 $x1522)) (unit-resolution (def-axiom (or $x1898 $x684)) @x2004 $x684) $x1522)))
+(let ((@x1460 (unit-resolution @x1808 (unit-resolution @x1523 (hypothesis $x136) $x1886) (hypothesis $x1892) $x1318)))
+(let ((@x1539 (def-axiom (or $x1313 $x1053))))
+(let (($x1965 (not $x1560)))
+(let (($x1597 (<= (+ ?x101 ?x744) 0)))
+(let ((@x1431 (trans (symm (hypothesis $x104) (= ?x101 v_b_max_G_2$)) (symm (hypothesis $x109) (= v_b_max_G_2$ v_b_max_G_3$)) (= ?x101 v_b_max_G_3$))))
+(let ((@x1435 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x101 v_b_max_G_3$)) $x1597)) @x1431 $x1597)))
+(let ((@x1437 (lemma ((_ th-lemma arith farkas -1 -1 1) (hypothesis $x1436) (hypothesis $x1597) (hypothesis $x1445) false) (or $x1453 $x1070 (not $x1597)))))
+(let ((@x1952 (unit-resolution @x1565 (unit-resolution @x1437 (unit-resolution @x1812 @x1460 $x1436) @x1435 $x1453) $x1563)))
+(let ((@x1958 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1) (or $x1955 $x1070 (not $x1597) $x689)) (unit-resolution @x1812 @x1460 $x1436) @x1435 (hypothesis $x692) $x1955)))
+(let ((@x1962 (unit-resolution (mp ((_ quant-inst ?v0!3) $x1464) @x1450 $x1476) (hypothesis $x1853) (unit-resolution (def-axiom (or $x1313 $x931)) @x1460 $x931) (or $x1511 $x1488))))
+(let ((@x1969 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1558 (not $x1511) $x1965)) (unit-resolution @x1962 @x1958 $x1511) (or $x1558 $x1965))))
+(let ((@x1971 ((_ th-lemma arith farkas -1 1 1) (unit-resolution @x1969 (unit-resolution @x1540 @x1952 (not $x1558)) $x1965) (hypothesis $x1522) (unit-resolution @x1539 @x1460 $x1053) false)))
+(let ((@x2130 (unit-resolution (lemma @x1971 (or $x951 (not $x1522) $x1858 $x689 $x1895 $x1359 $x1361)) @x2093 (or $x951 (not $x1522) $x689 $x1895 $x1359 $x1361))))
+(unit-resolution @x2130 @x2128 @x2140 (unit-resolution (def-axiom (or $x1898 $x692)) @x2004 $x692) (unit-resolution (def-axiom (or $x1898 $x1892)) @x2004 $x1892) (unit-resolution (def-axiom (or $x1898 $x104)) @x2004 $x104) (unit-resolution (def-axiom (or $x1898 $x109)) @x2004 $x109) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
+
--- a/src/HOL/SMT_Examples/Boogie_Max.certs2	Thu Sep 18 00:02:45 2014 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,780 +0,0 @@
-9c420ec314a920506e90cf4b4e40b4ee3ab35dec 779 0
-unsat
-((set-logic AUFLIA)
-(declare-fun ?v0!3 () Int)
-(declare-fun ?v0!2 () Int)
-(declare-fun ?v0!1 () Int)
-(declare-fun ?v0!0 () Int)
-(proof
-(let (($x109 (= v_b_max_G_3$ v_b_max_G_2$)))
-(let ((?x135 (v_b_array$ v_b_k_G_1$)))
-(let (($x136 (= ?x135 v_b_max_G_3$)))
-(let (($x1878 (forall ((?v0 Int) )(!(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
-(let (($x733 (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x733 $x746))))) :pattern ( (v_b_array$ ?v0) )))
-))
-(let (($x1883 (not $x1878)))
-(let (($x1886 (or $x1883 $x136)))
-(let (($x1889 (not $x1886)))
-(let (($x1070 (>= (+ v_b_max_G_3$ (* (- 1) (v_b_array$ ?v0!3))) 0)))
-(let (($x1048 (<= (+ v_b_p_G_1$ (* (- 1) ?v0!3)) 0)))
-(let (($x931 (>= ?v0!3 0)))
-(let (($x1298 (not $x931)))
-(let (($x1313 (or $x1298 $x1048 $x1070)))
-(let (($x1318 (not $x1313)))
-(let (($x1892 (or $x1318 $x1889)))
-(let (($x1895 (not $x1892)))
-(let (($x682 (>= v_b_p_G_1$ 2)))
-(let (($x1364 (not $x682)))
-(let (($x679 (>= v_b_k_G_1$ 0)))
-(let (($x1363 (not $x679)))
-(let ((?x685 (* (- 1) v_b_p_G_1$)))
-(let ((?x686 (+ v_b_p_G_0$ ?x685)))
-(let (($x684 (= ?x686 (- 1))))
-(let (($x1362 (not $x684)))
-(let (($x573 (>= v_b_p_G_0$ 1)))
-(let (($x1287 (not $x573)))
-(let (($x1361 (not $x109)))
-(let (($x107 (= v_b_k_G_1$ v_b_p_G_0$)))
-(let (($x1360 (not $x107)))
-(let ((?x101 (v_b_array$ v_b_p_G_0$)))
-(let (($x104 (= v_b_max_G_2$ ?x101)))
-(let (($x1359 (not $x104)))
-(let (($x689 (>= (+ v_b_max_G_1$ (* (- 1) ?x101)) 0)))
-(let (($x571 (>= v_b_k_G_0$ 0)))
-(let (($x1286 (not $x571)))
-(let (($x1898 (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1895)))
-(let (($x1901 (not $x1898)))
-(let (($x145 (= v_b_max_G_3$ v_b_max_G_1$)))
-(let (($x1376 (not $x145)))
-(let (($x144 (= v_b_k_G_1$ v_b_k_G_0$)))
-(let (($x1375 (not $x144)))
-(let (($x692 (not $x689)))
-(let (($x1904 (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1895)))
-(let ((?x937 (v_b_array$ ?v0!3)))
-(let (($x1559 (= ?x101 ?x937)))
-(let (($x1563 (not $x1559)))
-(let ((?x1068 (* (- 1) ?x937)))
-(let ((?x1461 (+ ?x101 ?x1068)))
-(let (($x1445 (>= ?x1461 0)))
-(let (($x1453 (not $x1445)))
-(let (($x1907 (not $x1904)))
-(let ((@x2149 (hypothesis $x1907)))
-(let ((?x744 (* (- 1) v_b_max_G_3$)))
-(let ((?x1781 (+ v_b_max_G_1$ ?x744)))
-(let (($x1782 (<= ?x1781 0)))
-(let (($x1780 (= v_b_max_G_1$ v_b_max_G_3$)))
-(let ((@x2162 (mp (unit-resolution (def-axiom (or $x1904 $x145)) @x2149 $x145) (symm (commutativity (= $x1780 $x145)) (= $x145 $x1780)) $x1780)))
-(let (($x1436 (not $x1070)))
-(let ((?x62 (v_b_array$ v_b_k_G_0$)))
-(let (($x63 (= ?x62 v_b_max_G_1$)))
-(let (($x1910 (or $x1901 $x1907)))
-(let (($x1913 (not $x1910)))
-(let ((?x549 (* (- 1) v_b_p_G_0$)))
-(let ((?x599 (+ v_b_length$ ?x549)))
-(let (($x600 (<= ?x599 0)))
-(let (($x1916 (or $x600 $x1286 $x1287 $x1913)))
-(let (($x1919 (not $x1916)))
-(let (($x1011 (>= (+ v_b_max_G_4$ (* (- 1) (v_b_array$ ?v0!2))) 0)))
-(let (($x900 (<= (+ v_b_length$ (* (- 1) ?v0!2)) 0)))
-(let (($x897 (>= ?v0!2 0)))
-(let (($x1247 (not $x897)))
-(let (($x889 (= (v_b_array$ ?v0!1) v_b_max_G_4$)))
-(let (($x884 (<= (+ v_b_length$ (* (- 1) ?v0!1)) 0)))
-(let (($x881 (>= ?v0!1 0)))
-(let (($x1227 (not $x881)))
-(let (($x1242 (or $x1227 $x884 $x889)))
-(let (($x1273 (not $x1242)))
-(let (($x1274 (or $x1273 $x1247 $x900 $x1011)))
-(let (($x1275 (not $x1274)))
-(let (($x1861 (forall ((?v0 Int) )(!(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x622 (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(let (($x1216 (or $x1157 $x622 $x86)))
-(not $x1216))))))) :pattern ( (v_b_array$ ?v0) )))
-))
-(let (($x1866 (or $x1861 $x1275)))
-(let (($x1869 (not $x1866)))
-(let (($x75 (= v_b_p_G_2$ v_b_p_G_0$)))
-(let (($x1290 (not $x75)))
-(let (($x73 (= v_b_max_G_4$ v_b_max_G_1$)))
-(let (($x1289 (not $x73)))
-(let (($x71 (= v_b_k_G_2$ v_b_k_G_0$)))
-(let (($x1288 (not $x71)))
-(let (($x661 (not $x600)))
-(let (($x1872 (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 $x1869)))
-(let (($x1875 (not $x1872)))
-(let (($x1922 (or $x1875 $x1919)))
-(let (($x1925 (not $x1922)))
-(let (($x1403 (not $x63)))
-(let (($x1853 (forall ((?v0 Int) )(!(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
-(let (($x548 (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x548 $x561))))) :pattern ( (v_b_array$ ?v0) )))
-))
-(let (($x1858 (not $x1853)))
-(let ((?x30 (v_b_array$ 0)))
-(let (($x50 (= ?x30 v_b_max_G_0$)))
-(let (($x851 (not $x50)))
-(let (($x1928 (or $x851 $x1858 $x1403 $x1286 $x1287 $x1925)))
-(let (($x1931 (not $x1928)))
-(let (($x1934 (or $x851 $x1931)))
-(let (($x1937 (not $x1934)))
-(let (($x1845 (forall ((?v0 Int) )(!(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
-(let (($x524 (>= ?v0 1)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x524 $x534))))) :pattern ( (v_b_array$ ?v0) )))
-))
-(let (($x1850 (not $x1845)))
-(let (($x1940 (or $x1850 $x1937)))
-(let (($x1943 (not $x1940)))
-(let (($x839 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0!0))) 0)))
-(let (($x832 (>= ?v0!0 1)))
-(let (($x835 (>= ?v0!0 0)))
-(let (($x1134 (not $x835)))
-(let (($x1149 (or $x1134 $x832 $x839)))
-(let (($x833 (not $x832)))
-(let (($x1154 (not $x1149)))
-(let ((@x1726 (hypothesis $x1154)))
-(let ((@x1711 ((_ th-lemma arith eq-propagate 0 0) (unit-resolution (def-axiom (or $x1149 $x835)) @x1726 $x835) (unit-resolution (def-axiom (or $x1149 $x833)) @x1726 $x833) (= ?v0!0 0))))
-(let ((@x1715 (symm (monotonicity @x1711 (= (v_b_array$ ?v0!0) ?x30)) (= ?x30 (v_b_array$ ?v0!0)))))
-(let (($x31 (= v_b_max_G_0$ ?x30)))
-(let (($x495 (<= v_b_length$ 0)))
-(let (($x496 (not $x495)))
-(let (($x511 (and $x496 $x31)))
-(let (($x752 (forall ((?v0 Int) )(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x738 (and $x521 (not (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))))
-(let (($x741 (not $x738)))
-(or $x741 $x746))))))
-))
-(let (($x755 (not $x752)))
-(let (($x758 (or $x755 $x136)))
-(let (($x761 (and $x752 $x758)))
-(let (($x784 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682)))
-(let (($x789 (not $x784)))
-(let (($x792 (or $x789 $x761)))
-(let (($x725 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682)))
-(let (($x730 (not $x725)))
-(let (($x764 (or $x730 $x761)))
-(let (($x795 (and $x764 $x792)))
-(let (($x670 (and $x661 $x571 $x573)))
-(let (($x675 (not $x670)))
-(let (($x798 (or $x675 $x795)))
-(let (($x649 (forall ((?v0 Int) )(let (($x521 (>= ?v0 0)))
-(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
-(let (($x629 (not $x626)))
-(or $x629 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_4$)) 0))))))
-))
-(let (($x635 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x521 (>= ?v0 0)))
-(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
-(let (($x629 (not $x626)))
-(or $x629 $x86)))))))
-))
-(let (($x638 (not $x635)))
-(let (($x652 (or $x638 $x649)))
-(let (($x655 (and $x635 $x652)))
-(let (($x612 (and $x600 $x571 $x573 $x71 $x73 $x75)))
-(let (($x617 (not $x612)))
-(let (($x658 (or $x617 $x655)))
-(let (($x801 (and $x658 $x798)))
-(let (($x567 (forall ((?v0 Int) )(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x553 (and $x521 (not (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))))
-(let (($x556 (not $x553)))
-(or $x556 $x561))))))
-))
-(let (($x591 (and $x50 $x567 $x63 $x571 $x573)))
-(let (($x596 (not $x591)))
-(let (($x804 (or $x596 $x801)))
-(let (($x807 (and $x50 $x804)))
-(let (($x541 (forall ((?v0 Int) )(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x526 (and $x521 (not (>= ?v0 1)))))
-(let (($x529 (not $x526)))
-(or $x529 $x534))))))
-))
-(let (($x544 (not $x541)))
-(let (($x810 (or $x544 $x807)))
-(let (($x813 (and $x541 $x810)))
-(let (($x819 (not (or (not $x511) $x813))))
-(let (($x138 (=> (and $x136 false) true)))
-(let (($x139 (and $x136 $x138)))
-(let (($x134 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x132 (<= ?x46 v_b_max_G_3$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x131 (and $x43 (< ?v0 v_b_p_G_1$))))
-(=> $x131 $x132))))))
-))
-(let (($x140 (=> $x134 $x139)))
-(let (($x141 (and $x134 $x140)))
-(let (($x119 (and (= v_b_p_G_1$ (+ v_b_p_G_0$ 1)) (and (and (<= 0 v_b_k_G_1$) (<= 2 v_b_p_G_1$)) true))))
-(let (($x54 (<= 1 v_b_p_G_0$)))
-(let (($x110 (<= 0 v_b_k_G_1$)))
-(let (($x111 (and $x110 $x54)))
-(let (($x121 (and true (and $x111 $x119))))
-(let (($x148 (and true (and $x144 (and $x145 $x121)))))
-(let (($x55 (and (<= 0 v_b_k_G_0$) $x54)))
-(let (($x143 (<= ?x101 v_b_max_G_1$)))
-(let (($x152 (and true (and $x55 (and $x143 (and $x55 $x148))))))
-(let (($x153 (=> $x152 $x141)))
-(let (($x126 (and $x104 (and (and $x54 $x54) (and true (and $x107 (and $x109 $x121)))))))
-(let (($x102 (< v_b_max_G_1$ ?x101)))
-(let (($x129 (and true (and $x55 (and $x102 $x126)))))
-(let (($x142 (=> $x129 $x141)))
-(let (($x155 (=> (and true (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))) (and $x142 $x153))))
-(let (($x91 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x89 (<= ?x46 v_b_max_G_4$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x85 (and $x43 (< ?v0 v_b_length$))))
-(=> $x85 $x89))))))
-))
-(let (($x92 (=> $x91 true)))
-(let (($x93 (and $x91 $x92)))
-(let (($x88 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x85 (and $x43 (< ?v0 v_b_length$))))
-(=> $x85 $x86))))))
-))
-(let (($x94 (=> $x88 $x93)))
-(let (($x69 (<= v_b_length$ v_b_p_G_0$)))
-(let (($x81 (and $x69 (and $x55 (and true (and $x71 (and $x73 (and $x75 true))))))))
-(let (($x83 (and true (and $x55 $x81))))
-(let (($x96 (=> $x83 (and $x88 $x94))))
-(let (($x64 (and $x63 $x55)))
-(let (($x61 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x59 (<= ?x46 v_b_max_G_1$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x57 (and $x43 (< ?v0 v_b_p_G_0$))))
-(=> $x57 $x59))))))
-))
-(let (($x67 (and true (and $x55 (and $x61 $x64)))))
-(let (($x157 (=> (and $x50 $x67) (and $x96 $x155))))
-(let (($x49 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x47 (<= ?x46 v_b_max_G_0$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x45 (and $x43 (< ?v0 1))))
-(=> $x45 $x47))))))
-))
-(let (($x159 (=> $x49 (and $x50 $x157))))
-(let (($x32 (<= 0 0)))
-(let (($x38 (and $x31 (and $x32 (and $x32 (and (<= 1 1) (<= 1 1)))))))
-(let (($x39 (and true $x38)))
-(let (($x28 (< 0 v_b_length$)))
-(let (($x41 (and true (and $x28 $x39))))
-(let (($x161 (=> $x41 (and $x49 $x159))))
-(let (($x162 (not $x161)))
-(let (($x362 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x132 (<= ?x46 v_b_max_G_3$)))
-(or (not (and (<= 0 ?v0) (< ?v0 v_b_p_G_1$))) $x132))))
-))
-(let (($x385 (or (not $x362) $x136)))
-(let (($x390 (and $x362 $x385)))
-(let (($x117 (and $x110 (<= 2 v_b_p_G_1$))))
-(let (($x308 (= v_b_p_G_1$ (+ 1 v_b_p_G_0$))))
-(let (($x313 (and $x308 $x117)))
-(let (($x316 (and $x111 $x313)))
-(let (($x402 (and $x145 $x316)))
-(let (($x405 (and $x144 $x402)))
-(let (($x415 (and $x55 $x405)))
-(let (($x418 (and $x143 $x415)))
-(let (($x421 (and $x55 $x418)))
-(let (($x435 (or (not $x421) $x390)))
-(let (($x326 (and $x109 $x316)))
-(let (($x329 (and $x107 $x326)))
-(let (($x339 (and $x54 $x329)))
-(let (($x342 (and $x104 $x339)))
-(let (($x345 (and $x102 $x342)))
-(let (($x348 (and $x55 $x345)))
-(let (($x397 (or (not $x348) $x390)))
-(let (($x440 (and $x397 $x435)))
-(let (($x447 (or (not (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))) $x440)))
-(let (($x263 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x89 (<= ?x46 v_b_max_G_4$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x85 (and $x43 (< ?v0 v_b_length$))))
-(let (($x253 (not $x85)))
-(or $x253 $x89)))))))
-))
-(let (($x257 (exists ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x43 (<= 0 ?v0)))
-(let (($x85 (and $x43 (< ?v0 v_b_length$))))
-(let (($x253 (not $x85)))
-(or $x253 $x86)))))))
-))
-(let (($x284 (or (not $x257) $x263)))
-(let (($x289 (and $x257 $x284)))
-(let (($x296 (or (not (and $x55 (and $x69 (and $x55 (and $x71 (and $x73 $x75)))))) $x289)))
-(let (($x452 (and $x296 $x447)))
-(let (($x203 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x59 (<= ?x46 v_b_max_G_1$)))
-(or (not (and (<= 0 ?v0) (< ?v0 v_b_p_G_0$))) $x59))))
-))
-(let (($x206 (and $x203 $x64)))
-(let (($x209 (and $x55 $x206)))
-(let (($x219 (and $x50 $x209)))
-(let (($x459 (or (not $x219) $x452)))
-(let (($x464 (and $x50 $x459)))
-(let (($x196 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x47 (<= ?x46 v_b_max_G_0$)))
-(or (not (and (<= 0 ?v0) (< ?v0 1))) $x47))))
-))
-(let (($x471 (or (not $x196) $x464)))
-(let (($x476 (and $x196 $x471)))
-(let (($x483 (or (not (and $x28 (and $x31 (and $x32 (and $x32 (<= 1 1)))))) $x476)))
-(let (($x746 (<= (+ (v_b_array$ ?0) ?x744) 0)))
-(let (($x521 (>= ?0 0)))
-(let (($x738 (and $x521 (not (>= (+ ?0 ?x685) 0)))))
-(let (($x741 (not $x738)))
-(let (($x749 (or $x741 $x746)))
-(let ((?x46 (v_b_array$ ?0)))
-(let (($x132 (<= ?x46 v_b_max_G_3$)))
-(let (($x359 (or (not (and (<= 0 ?0) (< ?0 v_b_p_G_1$))) $x132)))
-(let ((@x520 (rewrite (= (<= 0 ?0) $x521))))
-(let ((@x740 (monotonicity @x520 (rewrite (= (< ?0 v_b_p_G_1$) (not (>= (+ ?0 ?x685) 0)))) (= (and (<= 0 ?0) (< ?0 v_b_p_G_1$)) $x738))))
-(let ((@x743 (monotonicity @x740 (= (not (and (<= 0 ?0) (< ?0 v_b_p_G_1$))) $x741))))
-(let ((@x754 (quant-intro (monotonicity @x743 (rewrite (= $x132 $x746)) (= $x359 $x749)) (= $x362 $x752))))
-(let ((@x760 (monotonicity (monotonicity @x754 (= (not $x362) $x755)) (= $x385 $x758))))
-(let (($x772 (and $x144 (and $x145 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
-(let (($x576 (and $x571 $x573)))
-(let (($x770 (= $x402 (and $x145 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
-(let ((@x697 (monotonicity (rewrite (= $x110 $x679)) (rewrite (= (<= 2 v_b_p_G_1$) $x682)) (= $x117 (and $x679 $x682)))))
-(let ((@x700 (monotonicity (rewrite (= $x308 $x684)) @x697 (= $x313 (and $x684 (and $x679 $x682))))))
-(let ((@x575 (rewrite (= $x54 $x573))))
-(let ((@x703 (monotonicity (rewrite (= $x110 $x679)) @x575 (= $x111 (and $x679 $x573)))))
-(let ((@x706 (monotonicity @x703 @x700 (= $x316 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
-(let ((@x578 (monotonicity (rewrite (= (<= 0 v_b_k_G_0$) $x571)) @x575 (= $x55 $x576))))
-(let ((@x777 (monotonicity @x578 (monotonicity (monotonicity @x706 $x770) (= $x405 $x772)) (= $x415 (and $x576 $x772)))))
-(let ((@x780 (monotonicity (rewrite (= $x143 $x689)) @x777 (= $x418 (and $x689 (and $x576 $x772))))))
-(let ((@x783 (monotonicity @x578 @x780 (= $x421 (and $x576 (and $x689 (and $x576 $x772)))))))
-(let ((@x788 (trans @x783 (rewrite (= (and $x576 (and $x689 (and $x576 $x772))) $x784)) (= $x421 $x784))))
-(let ((@x794 (monotonicity (monotonicity @x788 (= (not $x421) $x789)) (monotonicity @x754 @x760 (= $x390 $x761)) (= $x435 $x792))))
-(let (($x710 (and $x107 (and $x109 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
-(let ((@x727 (rewrite (= (and $x576 (and $x692 (and $x104 (and $x573 $x710)))) $x725))))
-(let (($x708 (= $x326 (and $x109 (and (and $x679 $x573) (and $x684 (and $x679 $x682)))))))
-(let ((@x715 (monotonicity @x575 (monotonicity (monotonicity @x706 $x708) (= $x329 $x710)) (= $x339 (and $x573 $x710)))))
-(let ((@x721 (monotonicity (rewrite (= $x102 $x692)) (monotonicity @x715 (= $x342 (and $x104 (and $x573 $x710)))) (= $x345 (and $x692 (and $x104 (and $x573 $x710)))))))
-(let ((@x724 (monotonicity @x578 @x721 (= $x348 (and $x576 (and $x692 (and $x104 (and $x573 $x710))))))))
-(let ((@x732 (monotonicity (trans @x724 @x727 (= $x348 $x725)) (= (not $x348) $x730))))
-(let ((@x766 (monotonicity @x732 (monotonicity @x754 @x760 (= $x390 $x761)) (= $x397 $x764))))
-(let (($x99 (and $x55 (and (< v_b_p_G_0$ v_b_length$) $x55))))
-(let ((@x666 (monotonicity (rewrite (= (< v_b_p_G_0$ v_b_length$) $x661)) @x578 (= (and (< v_b_p_G_0$ v_b_length$) $x55) (and $x661 $x576)))))
-(let ((@x674 (trans (monotonicity @x578 @x666 (= $x99 (and $x576 (and $x661 $x576)))) (rewrite (= (and $x576 (and $x661 $x576)) $x670)) (= $x99 $x670))))
-(let ((@x800 (monotonicity (monotonicity @x674 (= (not $x99) $x675)) (monotonicity @x766 @x794 (= $x440 $x795)) (= $x447 $x798))))
-(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?0)) 0)))))
-(let (($x629 (not $x626)))
-(let (($x89 (<= ?x46 v_b_max_G_4$)))
-(let (($x43 (<= 0 ?0)))
-(let (($x85 (and $x43 (< ?0 v_b_length$))))
-(let (($x253 (not $x85)))
-(let (($x260 (or $x253 $x89)))
-(let (($x624 (= (< ?0 v_b_length$) (not (<= (+ v_b_length$ (* (- 1) ?0)) 0)))))
-(let ((@x631 (monotonicity (monotonicity @x520 (rewrite $x624) (= $x85 $x626)) (= $x253 $x629))))
-(let ((@x648 (monotonicity @x631 (rewrite (= $x89 (<= (+ ?x46 (* (- 1) v_b_max_G_4$)) 0))) (= $x260 (or $x629 (<= (+ ?x46 (* (- 1) v_b_max_G_4$)) 0))))))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x632 (or $x629 $x86)))
-(let (($x254 (or $x253 $x86)))
-(let ((@x640 (monotonicity (quant-intro (monotonicity @x631 (= $x254 $x632)) (= $x257 $x635)) (= (not $x257) $x638))))
-(let ((@x657 (monotonicity (quant-intro (monotonicity @x631 (= $x254 $x632)) (= $x257 $x635)) (monotonicity @x640 (quant-intro @x648 (= $x263 $x649)) (= $x284 $x652)) (= $x289 $x655))))
-(let (($x618 (= (not (and $x55 (and $x69 (and $x55 (and $x71 (and $x73 $x75)))))) $x617)))
-(let (($x227 (and $x71 (and $x73 $x75))))
-(let (($x237 (and $x55 $x227)))
-(let (($x240 (and $x69 $x237)))
-(let (($x243 (and $x55 $x240)))
-(let ((@x608 (monotonicity (rewrite (= $x69 $x600)) (monotonicity @x578 (= $x237 (and $x576 $x227))) (= $x240 (and $x600 (and $x576 $x227))))))
-(let ((@x611 (monotonicity @x578 @x608 (= $x243 (and $x576 (and $x600 (and $x576 $x227)))))))
-(let ((@x616 (trans @x611 (rewrite (= (and $x576 (and $x600 (and $x576 $x227))) $x612)) (= $x243 $x612))))
-(let ((@x803 (monotonicity (monotonicity (monotonicity @x616 $x618) @x657 (= $x296 $x658)) @x800 (= $x452 $x801))))
-(let ((@x593 (rewrite (= (and $x50 (and $x576 (and $x567 (and $x63 $x576)))) $x591))))
-(let (($x561 (<= (+ ?x46 (* (- 1) v_b_max_G_1$)) 0)))
-(let (($x553 (and $x521 (not (>= (+ ?0 ?x549) 0)))))
-(let (($x556 (not $x553)))
-(let (($x564 (or $x556 $x561)))
-(let (($x59 (<= ?x46 v_b_max_G_1$)))
-(let (($x200 (or (not (and $x43 (< ?0 v_b_p_G_0$))) $x59)))
-(let ((@x555 (monotonicity @x520 (rewrite (= (< ?0 v_b_p_G_0$) (not (>= (+ ?0 ?x549) 0)))) (= (and $x43 (< ?0 v_b_p_G_0$)) $x553))))
-(let ((@x566 (monotonicity (monotonicity @x555 (= (not (and $x43 (< ?0 v_b_p_G_0$))) $x556)) (rewrite (= $x59 $x561)) (= $x200 $x564))))
-(let ((@x584 (monotonicity (quant-intro @x566 (= $x203 $x567)) (monotonicity @x578 (= $x64 (and $x63 $x576))) (= $x206 (and $x567 (and $x63 $x576))))))
-(let ((@x587 (monotonicity @x578 @x584 (= $x209 (and $x576 (and $x567 (and $x63 $x576)))))))
-(let ((@x590 (monotonicity @x587 (= $x219 (and $x50 (and $x576 (and $x567 (and $x63 $x576))))))))
-(let ((@x598 (monotonicity (trans @x590 @x593 (= $x219 $x591)) (= (not $x219) $x596))))
-(let ((@x809 (monotonicity (monotonicity @x598 @x803 (= $x459 $x804)) (= $x464 $x807))))
-(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) ?x46)) 0)))
-(let (($x526 (and $x521 (not (>= ?0 1)))))
-(let (($x529 (not $x526)))
-(let (($x538 (or $x529 $x534)))
-(let (($x47 (<= ?x46 v_b_max_G_0$)))
-(let (($x193 (or (not (and $x43 (< ?0 1))) $x47)))
-(let ((@x528 (monotonicity @x520 (rewrite (= (< ?0 1) (not (>= ?0 1)))) (= (and $x43 (< ?0 1)) $x526))))
-(let ((@x540 (monotonicity (monotonicity @x528 (= (not (and $x43 (< ?0 1))) $x529)) (rewrite (= $x47 $x534)) (= $x193 $x538))))
-(let ((@x546 (monotonicity (quant-intro @x540 (= $x196 $x541)) (= (not $x196) $x544))))
-(let ((@x815 (monotonicity (quant-intro @x540 (= $x196 $x541)) (monotonicity @x546 @x809 (= $x471 $x810)) (= $x476 $x813))))
-(let (($x517 (= (not (and $x28 (and $x31 (and $x32 (and $x32 (<= 1 1)))))) (not $x511))))
-(let (($x34 (<= 1 1)))
-(let (($x166 (and $x32 $x34)))
-(let (($x169 (and $x32 $x166)))
-(let (($x172 (and $x31 $x169)))
-(let (($x182 (and $x28 $x172)))
-(let ((@x513 (rewrite (= (and $x496 (and $x31 (and true (and true true)))) $x511))))
-(let ((@x501 (monotonicity (rewrite (= $x32 true)) (rewrite (= $x34 true)) (= $x166 (and true true)))))
-(let ((@x504 (monotonicity (rewrite (= $x32 true)) @x501 (= $x169 (and true (and true true))))))
-(let ((@x507 (monotonicity @x504 (= $x172 (and $x31 (and true (and true true)))))))
-(let ((@x510 (monotonicity (rewrite (= $x28 $x496)) @x507 (= $x182 (and $x496 (and $x31 (and true (and true true))))))))
-(let ((@x818 (monotonicity (monotonicity (trans @x510 @x513 (= $x182 $x511)) $x517) @x815 (= $x483 (or (not $x511) $x813)))))
-(let ((@x369 (monotonicity (rewrite (= (and $x136 false) false)) (= $x138 (=> false true)))))
-(let ((@x373 (trans @x369 (rewrite (= (=> false true) true)) (= $x138 true))))
-(let ((@x380 (trans (monotonicity @x373 (= $x139 (and $x136 true))) (rewrite (= (and $x136 true) $x136)) (= $x139 $x136))))
-(let ((@x364 (quant-intro (rewrite (= (=> (and $x43 (< ?0 v_b_p_G_1$)) $x132) $x359)) (= $x134 $x362))))
-(let ((@x389 (trans (monotonicity @x364 @x380 (= $x140 (=> $x362 $x136))) (rewrite (= (=> $x362 $x136) $x385)) (= $x140 $x385))))
-(let ((@x310 (monotonicity (rewrite (= (+ v_b_p_G_0$ 1) (+ 1 v_b_p_G_0$))) (= (= v_b_p_G_1$ (+ v_b_p_G_0$ 1)) $x308))))
-(let ((@x315 (monotonicity @x310 (rewrite (= (and $x117 true) $x117)) (= $x119 $x313))))
-(let ((@x321 (monotonicity (monotonicity @x315 (= (and $x111 $x119) $x316)) (= $x121 (and true $x316)))))
-(let ((@x404 (monotonicity (trans @x321 (rewrite (= (and true $x316) $x316)) (= $x121 $x316)) (= (and $x145 $x121) $x402))))
-(let ((@x410 (monotonicity (monotonicity @x404 (= (and $x144 (and $x145 $x121)) $x405)) (= $x148 (and true $x405)))))
-(let ((@x417 (monotonicity (trans @x410 (rewrite (= (and true $x405) $x405)) (= $x148 $x405)) (= (and $x55 $x148) $x415))))
-(let ((@x423 (monotonicity (monotonicity @x417 (= (and $x143 (and $x55 $x148)) $x418)) (= (and $x55 (and $x143 (and $x55 $x148))) $x421))))
-(let ((@x430 (trans (monotonicity @x423 (= $x152 (and true $x421))) (rewrite (= (and true $x421) $x421)) (= $x152 $x421))))
-(let ((@x433 (monotonicity @x430 (monotonicity @x364 @x389 (= $x141 $x390)) (= $x153 (=> $x421 $x390)))))
-(let (($x340 (= (and (and $x54 $x54) (and true (and $x107 (and $x109 $x121)))) $x339)))
-(let ((@x328 (monotonicity (trans @x321 (rewrite (= (and true $x316) $x316)) (= $x121 $x316)) (= (and $x109 $x121) $x326))))
-(let ((@x334 (monotonicity (monotonicity @x328 (= (and $x107 (and $x109 $x121)) $x329)) (= (and true (and $x107 (and $x109 $x121))) (and true $x329)))))
-(let ((@x338 (trans @x334 (rewrite (= (and true $x329) $x329)) (= (and true (and $x107 (and $x109 $x121))) $x329))))
-(let ((@x344 (monotonicity (monotonicity (rewrite (= (and $x54 $x54) $x54)) @x338 $x340) (= $x126 $x342))))
-(let ((@x350 (monotonicity (monotonicity @x344 (= (and $x102 $x126) $x345)) (= (and $x55 (and $x102 $x126)) $x348))))
-(let ((@x357 (trans (monotonicity @x350 (= $x129 (and true $x348))) (rewrite (= (and true $x348) $x348)) (= $x129 $x348))))
-(let ((@x395 (monotonicity @x357 (monotonicity @x364 @x389 (= $x141 $x390)) (= $x142 (=> $x348 $x390)))))
-(let ((@x442 (monotonicity (trans @x395 (rewrite (= (=> $x348 $x390) $x397)) (= $x142 $x397)) (trans @x433 (rewrite (= (=> $x421 $x390) $x435)) (= $x153 $x435)) (= (and $x142 $x153) $x440))))
-(let ((@x445 (monotonicity (rewrite (= (and true $x99) $x99)) @x442 (= $x155 (=> $x99 $x440)))))
-(let ((@x268 (monotonicity (quant-intro (rewrite (= (=> $x85 $x89) $x260)) (= $x91 $x263)) (= $x92 (=> $x263 true)))))
-(let ((@x272 (trans @x268 (rewrite (= (=> $x263 true) true)) (= $x92 true))))
-(let ((@x275 (monotonicity (quant-intro (rewrite (= (=> $x85 $x89) $x260)) (= $x91 $x263)) @x272 (= $x93 (and $x263 true)))))
-(let ((@x282 (monotonicity (quant-intro (rewrite (= (=> $x85 $x86) $x254)) (= $x88 $x257)) (trans @x275 (rewrite (= (and $x263 true) $x263)) (= $x93 $x263)) (= $x94 (=> $x257 $x263)))))
-(let ((@x291 (monotonicity (quant-intro (rewrite (= (=> $x85 $x86) $x254)) (= $x88 $x257)) (trans @x282 (rewrite (= (=> $x257 $x263) $x284)) (= $x94 $x284)) (= (and $x88 $x94) $x289))))
-(let (($x238 (= (and $x55 (and true (and $x71 (and $x73 (and $x75 true))))) $x237)))
-(let (($x79 (and true (and $x71 (and $x73 (and $x75 true))))))
-(let ((@x226 (monotonicity (rewrite (= (and $x75 true) $x75)) (= (and $x73 (and $x75 true)) (and $x73 $x75)))))
-(let ((@x229 (monotonicity @x226 (= (and $x71 (and $x73 (and $x75 true))) $x227))))
-(let ((@x236 (trans (monotonicity @x229 (= $x79 (and true $x227))) (rewrite (= (and true $x227) $x227)) (= $x79 $x227))))
-(let ((@x245 (monotonicity (monotonicity (monotonicity @x236 $x238) (= $x81 $x240)) (= (and $x55 $x81) $x243))))
-(let ((@x252 (trans (monotonicity @x245 (= $x83 (and true $x243))) (rewrite (= (and true $x243) $x243)) (= $x83 $x243))))
-(let ((@x300 (trans (monotonicity @x252 @x291 (= $x96 (=> $x243 $x289))) (rewrite (= (=> $x243 $x289) $x296)) (= $x96 $x296))))
-(let ((@x454 (monotonicity @x300 (trans @x445 (rewrite (= (=> $x99 $x440) $x447)) (= $x155 $x447)) (= (and $x96 $x155) $x452))))
-(let ((@x205 (quant-intro (rewrite (= (=> (and $x43 (< ?0 v_b_p_G_0$)) $x59) $x200)) (= $x61 $x203))))
-(let ((@x211 (monotonicity (monotonicity @x205 (= (and $x61 $x64) $x206)) (= (and $x55 (and $x61 $x64)) $x209))))
-(let ((@x218 (trans (monotonicity @x211 (= $x67 (and true $x209))) (rewrite (= (and true $x209) $x209)) (= $x67 $x209))))
-(let ((@x457 (monotonicity (monotonicity @x218 (= (and $x50 $x67) $x219)) @x454 (= $x157 (=> $x219 $x452)))))
-(let ((@x466 (monotonicity (trans @x457 (rewrite (= (=> $x219 $x452) $x459)) (= $x157 $x459)) (= (and $x50 $x157) $x464))))
-(let ((@x198 (quant-intro (rewrite (= (=> (and $x43 (< ?0 1)) $x47) $x193)) (= $x49 $x196))))
-(let ((@x475 (trans (monotonicity @x198 @x466 (= $x159 (=> $x196 $x464))) (rewrite (= (=> $x196 $x464) $x471)) (= $x159 $x471))))
-(let ((@x168 (monotonicity (rewrite (= (and $x34 $x34) $x34)) (= (and $x32 (and $x34 $x34)) $x166))))
-(let ((@x174 (monotonicity (monotonicity @x168 (= (and $x32 (and $x32 (and $x34 $x34))) $x169)) (= $x38 $x172))))
-(let ((@x181 (trans (monotonicity @x174 (= $x39 (and true $x172))) (rewrite (= (and true $x172) $x172)) (= $x39 $x172))))
-(let ((@x187 (monotonicity (monotonicity @x181 (= (and $x28 $x39) $x182)) (= $x41 (and true $x182)))))
-(let ((@x481 (monotonicity (trans @x187 (rewrite (= (and true $x182) $x182)) (= $x41 $x182)) (monotonicity @x198 @x475 (= (and $x49 $x159) $x476)) (= $x161 (=> $x182 $x476)))))
-(let ((@x490 (monotonicity (trans @x481 (rewrite (= (=> $x182 $x476) $x483)) (= $x161 $x483)) (= $x162 (not $x483)))))
-(let ((@x823 (trans @x490 (monotonicity @x818 (= (not $x483) $x819)) (= $x162 $x819))))
-(let ((@x827 (and-elim (not-or-elim (mp (asserted $x162) @x823 $x819) $x511) $x31)))
-(let ((@x1690 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= v_b_max_G_0$ (v_b_array$ ?v0!0))) $x839)) (unit-resolution (def-axiom (or $x1149 (not $x839))) @x1726 (not $x839)) (trans @x827 @x1715 (= v_b_max_G_0$ (v_b_array$ ?v0!0))) false)))
-(let (($x1946 (or $x1154 $x1943)))
-(let (($x1340 (forall ((?v0 Int) )(let (($x746 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_3$)) 0)))
-(let (($x733 (>= (+ ?v0 (* (- 1) v_b_p_G_1$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x733 $x746))))))
-))
-(let (($x1348 (not (or (not $x1340) $x136))))
-(let (($x1353 (or $x1318 $x1348)))
-(let (($x1365 (not $x1353)))
-(let (($x1378 (not (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1365))))
-(let (($x1367 (not (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1365))))
-(let (($x1383 (or $x1367 $x1378)))
-(let (($x1391 (not (or $x600 $x1286 $x1287 (not $x1383)))))
-(let (($x1224 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x622 (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(let (($x1216 (or $x1157 $x622 $x86)))
-(not $x1216))))))))
-))
-(let (($x1280 (or $x1224 $x1275)))
-(let (($x1293 (not (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 (not $x1280)))))
-(let (($x1396 (or $x1293 $x1391)))
-(let (($x1199 (forall ((?v0 Int) )(let (($x561 (<= (+ (v_b_array$ ?v0) (* (- 1) v_b_max_G_1$)) 0)))
-(let (($x548 (>= (+ ?v0 (* (- 1) v_b_p_G_0$)) 0)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x548 $x561))))))
-))
-(let (($x1406 (not (or $x851 (not $x1199) $x1403 $x1286 $x1287 (not $x1396)))))
-(let (($x1411 (or $x851 $x1406)))
-(let (($x1177 (forall ((?v0 Int) )(let (($x534 (>= (+ v_b_max_G_0$ (* (- 1) (v_b_array$ ?v0))) 0)))
-(let (($x524 (>= ?v0 1)))
-(let (($x521 (>= ?v0 0)))
-(let (($x1157 (not $x521)))
-(or $x1157 $x524 $x534))))))
-))
-(let (($x1420 (not (or (not $x1177) (not $x1411)))))
-(let (($x1425 (or $x1154 $x1420)))
-(let (($x733 (>= (+ ?0 ?x685) 0)))
-(let (($x1157 (not $x521)))
-(let (($x1335 (or $x1157 $x733 $x746)))
-(let ((@x1885 (monotonicity (quant-intro (refl (= $x1335 $x1335)) (= $x1340 $x1878)) (= (not $x1340) $x1883))))
-(let ((@x1891 (monotonicity (monotonicity @x1885 (= (or (not $x1340) $x136) $x1886)) (= $x1348 $x1889))))
-(let ((@x1906 (monotonicity (monotonicity (monotonicity @x1891 (= $x1353 $x1892)) (= $x1365 $x1895)) (= (or $x692 $x1286 $x1375 $x1376 $x1287 $x1362 $x1363 $x1364 $x1365) $x1904))))
-(let ((@x1900 (monotonicity (monotonicity (monotonicity @x1891 (= $x1353 $x1892)) (= $x1365 $x1895)) (= (or $x1286 $x689 $x1359 $x1360 $x1361 $x1287 $x1362 $x1363 $x1364 $x1365) $x1898))))
-(let ((@x1912 (monotonicity (monotonicity @x1900 (= $x1367 $x1901)) (monotonicity @x1906 (= $x1378 $x1907)) (= $x1383 $x1910))))
-(let ((@x1918 (monotonicity (monotonicity @x1912 (= (not $x1383) $x1913)) (= (or $x600 $x1286 $x1287 (not $x1383)) $x1916))))
-(let (($x622 (<= (+ v_b_length$ (* (- 1) ?0)) 0)))
-(let (($x1216 (or $x1157 $x622 $x86)))
-(let (($x1221 (not $x1216)))
-(let ((@x1868 (monotonicity (quant-intro (refl (= $x1221 $x1221)) (= $x1224 $x1861)) (= $x1280 $x1866))))
-(let ((@x1874 (monotonicity (monotonicity @x1868 (= (not $x1280) $x1869)) (= (or $x661 $x1286 $x1287 $x1288 $x1289 $x1290 (not $x1280)) $x1872))))
-(let ((@x1924 (monotonicity (monotonicity @x1874 (= $x1293 $x1875)) (monotonicity @x1918 (= $x1391 $x1919)) (= $x1396 $x1922))))
-(let (($x548 (>= (+ ?0 ?x549) 0)))
-(let (($x1194 (or $x1157 $x548 $x561)))
-(let ((@x1860 (monotonicity (quant-intro (refl (= $x1194 $x1194)) (= $x1199 $x1853)) (= (not $x1199) $x1858))))
-(let ((@x1930 (monotonicity @x1860 (monotonicity @x1924 (= (not $x1396) $x1925)) (= (or $x851 (not $x1199) $x1403 $x1286 $x1287 (not $x1396)) $x1928))))
-(let ((@x1939 (monotonicity (monotonicity (monotonicity @x1930 (= $x1406 $x1931)) (= $x1411 $x1934)) (= (not $x1411) $x1937))))
-(let ((@x1847 (refl (= (or $x1157 (>= ?0 1) $x534) (or $x1157 (>= ?0 1) $x534)))))
-(let ((@x1852 (monotonicity (quant-intro @x1847 (= $x1177 $x1845)) (= (not $x1177) $x1850))))
-(let ((@x1945 (monotonicity (monotonicity @x1852 @x1939 (= (or (not $x1177) (not $x1411)) $x1940)) (= $x1420 $x1943))))
-(let (($x951 (not $x136)))
-(let (($x954 (and $x752 $x951)))
-(let (($x1053 (not $x1048)))
-(let (($x1056 (and $x931 $x1053)))
-(let (($x1059 (not $x1056)))
-(let (($x1075 (or $x1059 $x1070)))
-(let (($x1078 (not $x1075)))
-(let (($x1081 (or $x1078 $x954)))
-(let (($x1097 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1081)))
-(let (($x1087 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1081)))
-(let (($x1102 (or $x1087 $x1097)))
-(let (($x1108 (and $x661 $x571 $x573 $x1102)))
-(let (($x903 (not (and $x897 (not $x900)))))
-(let (($x1016 (or $x903 $x1011)))
-(let (($x1019 (not $x1016)))
-(let (($x887 (not (and $x881 (not $x884)))))
-(let (($x890 (or $x887 $x889)))
-(let (($x1022 (and $x890 $x1019)))
-(let (($x877 (forall ((?v0 Int) )(let ((?x46 (v_b_array$ ?v0)))
-(let (($x86 (= ?x46 v_b_max_G_4$)))
-(let (($x521 (>= ?v0 0)))
-(let (($x626 (and $x521 (not (<= (+ v_b_length$ (* (- 1) ?v0)) 0)))))
-(let (($x629 (not $x626)))
-(let (($x632 (or $x629 $x86)))
-(not $x632))))))))
-))
-(let (($x1025 (or $x877 $x1022)))
-(let (($x1031 (and $x600 $x571 $x573 $x71 $x73 $x75 $x1025)))
-(let (($x1113 (or $x1031 $x1108)))
-(let (($x1119 (and $x50 $x567 $x63 $x571 $x573 $x1113)))
-(let (($x1124 (or $x851 $x1119)))
-(let (($x1127 (and $x541 $x1124)))
-(let (($x831 (not (and $x835 $x833))))
-(let (($x840 (or $x831 $x839)))
-(let (($x841 (not $x840)))
-(let (($x1130 (or $x841 $x1127)))
-(let ((@x1380 (rewrite (= (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1353) $x1378))))
-(let ((@x1327 (monotonicity (rewrite (= $x738 (not (or $x1157 $x733)))) (= $x741 (not (not (or $x1157 $x733)))))))
-(let ((@x1331 (trans @x1327 (rewrite (= (not (not (or $x1157 $x733))) (or $x1157 $x733))) (= $x741 (or $x1157 $x733)))))
-(let ((@x1339 (trans (monotonicity @x1331 (= $x749 (or (or $x1157 $x733) $x746))) (rewrite (= (or (or $x1157 $x733) $x746) $x1335)) (= $x749 $x1335))))
-(let ((@x1345 (monotonicity (quant-intro @x1339 (= $x752 $x1340)) (= $x954 (and $x1340 $x951)))))
-(let ((@x1305 (monotonicity (rewrite (= $x1056 (not (or $x1298 $x1048)))) (= $x1059 (not (not (or $x1298 $x1048)))))))
-(let ((@x1309 (trans @x1305 (rewrite (= (not (not (or $x1298 $x1048))) (or $x1298 $x1048))) (= $x1059 (or $x1298 $x1048)))))
-(let ((@x1317 (trans (monotonicity @x1309 (= $x1075 (or (or $x1298 $x1048) $x1070))) (rewrite (= (or (or $x1298 $x1048) $x1070) $x1313)) (= $x1075 $x1313))))
-(let ((@x1355 (monotonicity (monotonicity @x1317 (= $x1078 $x1318)) (trans @x1345 (rewrite (= (and $x1340 $x951) $x1348)) (= $x954 $x1348)) (= $x1081 $x1353))))
-(let ((@x1374 (monotonicity @x1355 (= $x1097 (and $x689 $x571 $x144 $x145 $x573 $x684 $x679 $x682 $x1353)))))
-(let ((@x1369 (rewrite (= (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1353) $x1367))))
-(let ((@x1358 (monotonicity @x1355 (= $x1087 (and $x571 $x692 $x104 $x107 $x109 $x573 $x684 $x679 $x682 $x1353)))))
-(let ((@x1385 (monotonicity (trans @x1358 @x1369 (= $x1087 $x1367)) (trans @x1374 @x1380 (= $x1097 $x1378)) (= $x1102 $x1383))))
-(let ((@x1395 (trans (monotonicity @x1385 (= $x1108 (and $x661 $x571 $x573 $x1383))) (rewrite (= (and $x661 $x571 $x573 $x1383) $x1391)) (= $x1108 $x1391))))
-(let ((@x1254 (monotonicity (rewrite (= (and $x897 (not $x900)) (not (or $x1247 $x900)))) (= $x903 (not (not (or $x1247 $x900)))))))
-(let ((@x1258 (trans @x1254 (rewrite (= (not (not (or $x1247 $x900))) (or $x1247 $x900))) (= $x903 (or $x1247 $x900)))))
-(let ((@x1266 (trans (monotonicity @x1258 (= $x1016 (or (or $x1247 $x900) $x1011))) (rewrite (= (or (or $x1247 $x900) $x1011) (or $x1247 $x900 $x1011))) (= $x1016 (or $x1247 $x900 $x1011)))))
-(let ((@x1234 (monotonicity (rewrite (= (and $x881 (not $x884)) (not (or $x1227 $x884)))) (= $x887 (not (not (or $x1227 $x884)))))))
-(let ((@x1238 (trans @x1234 (rewrite (= (not (not (or $x1227 $x884))) (or $x1227 $x884))) (= $x887 (or $x1227 $x884)))))
-(let ((@x1246 (trans (monotonicity @x1238 (= $x890 (or (or $x1227 $x884) $x889))) (rewrite (= (or (or $x1227 $x884) $x889) $x1242)) (= $x890 $x1242))))
-(let ((@x1272 (monotonicity @x1246 (monotonicity @x1266 (= $x1019 (not (or $x1247 $x900 $x1011)))) (= $x1022 (and $x1242 (not (or $x1247 $x900 $x1011)))))))
-(let ((@x1279 (trans @x1272 (rewrite (= (and $x1242 (not (or $x1247 $x900 $x1011))) $x1275)) (= $x1022 $x1275))))
-(let ((@x1208 (monotonicity (rewrite (= $x626 (not (or $x1157 $x622)))) (= $x629 (not (not (or $x1157 $x622)))))))
-(let ((@x1212 (trans @x1208 (rewrite (= (not (not (or $x1157 $x622))) (or $x1157 $x622))) (= $x629 (or $x1157 $x622)))))
-(let ((@x1220 (trans (monotonicity @x1212 (= $x632 (or (or $x1157 $x622) $x86))) (rewrite (= (or (or $x1157 $x622) $x86) $x1216)) (= $x632 $x1216))))
-(let ((@x1226 (quant-intro (monotonicity @x1220 (= (not $x632) $x1221)) (= $x877 $x1224))))
-(let ((@x1285 (monotonicity (monotonicity @x1226 @x1279 (= $x1025 $x1280)) (= $x1031 (and $x600 $x571 $x573 $x71 $x73 $x75 $x1280)))))
-(let ((@x1297 (trans @x1285 (rewrite (= (and $x600 $x571 $x573 $x71 $x73 $x75 $x1280) $x1293)) (= $x1031 $x1293))))
-(let ((@x1186 (monotonicity (rewrite (= $x553 (not (or $x1157 $x548)))) (= $x556 (not (not (or $x1157 $x548)))))))
-(let ((@x1190 (trans @x1186 (rewrite (= (not (not (or $x1157 $x548))) (or $x1157 $x548))) (= $x556 (or $x1157 $x548)))))
-(let ((@x1198 (trans (monotonicity @x1190 (= $x564 (or (or $x1157 $x548) $x561))) (rewrite (= (or (or $x1157 $x548) $x561) $x1194)) (= $x564 $x1194))))
-(let ((@x1401 (monotonicity (quant-intro @x1198 (= $x567 $x1199)) (monotonicity @x1297 @x1395 (= $x1113 $x1396)) (= $x1119 (and $x50 $x1199 $x63 $x571 $x573 $x1396)))))
-(let ((@x1410 (trans @x1401 (rewrite (= (and $x50 $x1199 $x63 $x571 $x573 $x1396) $x1406)) (= $x1119 $x1406))))
-(let (($x524 (>= ?0 1)))
-(let (($x1172 (or $x1157 $x524 $x534)))
-(let ((@x1164 (monotonicity (rewrite (= $x526 (not (or $x1157 $x524)))) (= $x529 (not (not (or $x1157 $x524)))))))
-(let ((@x1168 (trans @x1164 (rewrite (= (not (not (or $x1157 $x524))) (or $x1157 $x524))) (= $x529 (or $x1157 $x524)))))
-(let ((@x1176 (trans (monotonicity @x1168 (= $x538 (or (or $x1157 $x524) $x534))) (rewrite (= (or (or $x1157 $x524) $x534) $x1172)) (= $x538 $x1172))))
-(let ((@x1416 (monotonicity (quant-intro @x1176 (= $x541 $x1177)) (monotonicity @x1410 (= $x1124 $x1411)) (= $x1127 (and $x1177 $x1411)))))
-(let ((@x1141 (monotonicity (rewrite (= (and $x835 $x833) (not (or $x1134 $x832)))) (= $x831 (not (not (or $x1134 $x832)))))))
-(let ((@x1145 (trans @x1141 (rewrite (= (not (not (or $x1134 $x832))) (or $x1134 $x832))) (= $x831 (or $x1134 $x832)))))
-(let ((@x1153 (trans (monotonicity @x1145 (= $x840 (or (or $x1134 $x832) $x839))) (rewrite (= (or (or $x1134 $x832) $x839) $x1149)) (= $x840 $x1149))))
-(let ((@x1427 (monotonicity (monotonicity @x1153 (= $x841 $x1154)) (trans @x1416 (rewrite (= (and $x1177 $x1411) $x1420)) (= $x1127 $x1420)) (= $x1130 $x1425))))
-(let (($x939 (<= (+ ?x937 ?x744) 0)))
-(let (($x941 (not (or (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x939))))
-(let (($x958 (or $x941 $x954)))
-(let (($x966 (not $x789)))
-(let (($x969 (and $x966 $x958)))
-(let (($x927 (not $x730)))
-(let (($x962 (and $x927 $x958)))
-(let (($x973 (or $x962 $x969)))
-(let (($x924 (not $x675)))
-(let (($x977 (and $x924 $x973)))
-(let (($x908 (not (or $x903 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)))))
-(let (($x912 (and $x890 $x908)))
-(let (($x916 (or $x877 $x912)))
-(let (($x871 (not $x617)))
-(let (($x920 (and $x871 $x916)))
-(let (($x981 (or $x920 $x977)))
-(let (($x985 (and $x591 $x981)))
-(let (($x989 (or $x851 $x985)))
-(let (($x993 (and $x541 $x989)))
-(let (($x997 (or $x841 $x993)))
-(let (($x1076 (= (or (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x939) $x1075)))
-(let ((@x1067 (monotonicity (rewrite (= (+ ?x937 ?x744) (+ ?x744 ?x937))) (= $x939 (<= (+ ?x744 ?x937) 0)))))
-(let ((@x1074 (trans @x1067 (rewrite (= (<= (+ ?x744 ?x937) 0) $x1070)) (= $x939 $x1070))))
-(let ((@x1045 (monotonicity (rewrite (= (+ ?v0!3 ?x685) (+ ?x685 ?v0!3))) (= (>= (+ ?v0!3 ?x685) 0) (>= (+ ?x685 ?v0!3) 0)))))
-(let ((@x1052 (trans @x1045 (rewrite (= (>= (+ ?x685 ?v0!3) 0) $x1048)) (= (>= (+ ?v0!3 ?x685) 0) $x1048))))
-(let ((@x1058 (monotonicity (monotonicity @x1052 (= (not (>= (+ ?v0!3 ?x685) 0)) $x1053)) (= (and $x931 (not (>= (+ ?v0!3 ?x685) 0))) $x1056))))
-(let ((@x1061 (monotonicity @x1058 (= (not (and $x931 (not (>= (+ ?v0!3 ?x685) 0)))) $x1059))))
-(let ((@x1083 (monotonicity (monotonicity (monotonicity @x1061 @x1074 $x1076) (= $x941 $x1078)) (= $x958 $x1081))))
-(let ((@x1096 (monotonicity (rewrite (= $x966 $x784)) @x1083 (= $x969 (and $x784 $x1081)))))
-(let ((@x1086 (monotonicity (rewrite (= $x927 $x725)) @x1083 (= $x962 (and $x725 $x1081)))))
-(let ((@x1104 (monotonicity (trans @x1086 (rewrite (= (and $x725 $x1081) $x1087)) (= $x962 $x1087)) (trans @x1096 (rewrite (= (and $x784 $x1081) $x1097)) (= $x969 $x1097)) (= $x973 $x1102))))
-(let ((@x1107 (monotonicity (rewrite (= $x924 $x670)) @x1104 (= $x977 (and $x670 $x1102)))))
-(let (($x1017 (= (or $x903 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)) $x1016)))
-(let (($x906 (<= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) 0)))
-(let (($x1012 (= (<= (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)) 0) $x1011)))
-(let (($x1007 (= $x906 (<= (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)) 0))))
-(let (($x1004 (= (+ (v_b_array$ ?v0!2) (* (- 1) v_b_max_G_4$)) (+ (* (- 1) v_b_max_G_4$) (v_b_array$ ?v0!2)))))
-(let ((@x1015 (trans (monotonicity (rewrite $x1004) $x1007) (rewrite $x1012) (= $x906 $x1011))))
-(let ((@x1024 (monotonicity (monotonicity (monotonicity @x1015 $x1017) (= $x908 $x1019)) (= $x912 $x1022))))
-(let ((@x1030 (monotonicity (rewrite (= $x871 $x612)) (monotonicity @x1024 (= $x916 $x1025)) (= $x920 (and $x612 $x1025)))))
-(let ((@x1115 (monotonicity (trans @x1030 (rewrite (= (and $x612 $x1025) $x1031)) (= $x920 $x1031)) (trans @x1107 (rewrite (= (and $x670 $x1102) $x1108)) (= $x977 $x1108)) (= $x981 $x1113))))
-(l