rebuild SMT certificates from scratch;
authorwenzelm
Fri, 05 Mar 2021 13:48:23 +0100
changeset 73382 2b1b7b58d0e7
parent 73378 10f5f5b880f4
child 73383 6b104dc069de
rebuild SMT certificates from scratch;
src/HOL/SMT_Examples/Boogie_Dijkstra.certs
src/HOL/SMT_Examples/Boogie_Max.certs
src/HOL/SMT_Examples/SMT_Examples.certs
src/HOL/SMT_Examples/SMT_Examples_Verit.certs
src/HOL/SMT_Examples/SMT_Word_Examples.certs
src/HOL/SMT_Examples/VCC_Max.certs
--- a/src/HOL/SMT_Examples/Boogie_Dijkstra.certs	Fri Mar 05 10:30:54 2021 +0100
+++ b/src/HOL/SMT_Examples/Boogie_Dijkstra.certs	Fri Mar 05 13:48:23 2021 +0100
@@ -1,11980 +1,3 @@
-9d6b81d96fb21c8c08e3f1fd649ce37bdafb5f92 3015 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) ) :qid k!42))
-))
-(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$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1282 (>= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?v0))) 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) ) :qid k!42))
-))
-(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 ((@x4391 (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) ) :qid k!42))
-))
-(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 (($x2768 (not (fun_app$ v_b_Visited_G_2$ ?v0))))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(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) ) :qid k!42))
-))
-(let (($x3586 (not $x3581)))
-(let (($x3573 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
-(let ((?x991 (* (- 1) ?x182)))
-(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x990 (>= (+ ?x155 ?x174 ?x991) 0)))
-(let (($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) ) :qid k!42))
-))
-(let (($x3578 (not $x3573)))
-(let (($x3565 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
-(let ((?x991 (* (- 1) ?x182)))
-(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 ?x991) 0)))
-(let (($x180 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(let (($x2492 (not $x180)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(or $x178 $x2492 $x1015)))))))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v1) (fun_app$ v_b_Visited_G_1$ ?v0) ) :qid k!42))
-))
-(let (($x3570 (not $x3565)))
-(let (($x3561 (not $x3556)))
-(let ((?x172 (fun_app$c v_b_SP_G_1$ b_Source$)))
-(let (($x173 (= ?x172 0)))
-(let (($x2952 (not $x173)))
-(let (($x3547 (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 (($x2091 (= ?x2090 0)))
-(let (($x2075 (<= (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0)))) 0)))
-(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 $x2478)))))))) :pattern ( (v_b_SP_G_0$ ?v0) ) :qid k!42))
-))
-(let (($x3552 (not $x3547)))
-(let (($x3821 (or $x3552 $x2952 $x3561 $x3570 $x3578 $x3586 $x3818)))
-(let (($x3824 (not $x3821)))
-(let (($x3533 (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)))
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-(let ((@x1334 (monotonicity (monotonicity @x1291 (= (not $x686) $x1292)) (quant-intro @x1328 (= $x710 $x1329)) (= $x738 $x1332))))
-(let (($x300 (not $x291)))
-(let (($x302 (and $x300 (fun_app$ v_b_Visited_G_2$ ?1))))
-(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)))) :qid k!42))
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-(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 $x524))))))) :qid k!42))
-))
-(let (($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$) )(! (let ((?x182 (fun_app$c v_b_SP_G_1$ ?0)))
-(let ((?x991 (* (- 1) ?x182)))
-(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let (($x1012 (= (+ ?x155 ?x174 ?x991) 0)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 ?x991) 0)))
-(let (($x1017 (not $x1015)))
-(and $x1017 $x178 $x1012))))))))) :qid k!42))
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-(let (($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 $x431))))))))) :qid k!42))
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-(let (($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 $x957))))))) :qid k!42))
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-(let (($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)) $x166))) :qid k!42))
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-(let (($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 $x923)))
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-(let (($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 $x1380))))
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-(let (($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))))
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-(let ((@x1406 (monotonicity @x895 (monotonicity @x1400 (= $x875 $x1401)) (= $x882 (or (not $x890) $x1401)))))
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-(let (($x316 (and $x291 (= (v_b_SP_G_2$ ?0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
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-(let ((?x273 (v_b_SP_G_2$ ?v1)))
-(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x316)))))) :qid k!42))
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-(let (($x313 (and $x132 (< ?x273 b_Infinity$))))
-(let (($x319 (=> $x313 $x318)))
-(let ((@x691 (monotonicity (rewrite (= (+ ?x273 ?x155) ?x671)) (= (= ?x303 (+ ?x273 ?x155)) $x689))))
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-(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)) (= $x322 true))))
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-(let (($x156 (< ?x155 b_Infinity$)))
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-(let (($x310 (=> $x307 (<= ?x303 (+ ?x273 ?x155)))))
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-(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)))))
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-(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 ((@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 $x1407))))
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-(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1282 (>= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?v0))) 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 $x1282))))))) :qid k!42))
-))
-(let (($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 (($x2768 (not (fun_app$ v_b_Visited_G_2$ ?v0))))
-(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(or $x291 $x2768 $x1262)))) :qid k!42))
-))
-(let (($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 $x2923)))
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-(let ((?x273 (v_b_SP_G_2$ ?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 $x278)))))))))) :qid k!42))
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-(let ((?x268 (b_G$ (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 $x1185)))))))) :qid k!42))
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-(let ((?x155 (b_G$ (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 $x1140)))))) :qid k!42))
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-(let (($x2685 (or $x2650 $x2680)))
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-(let ((?x2191 (+ ?x230 (* (- 1) (fun_app$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 (($x2617 (not (or $x2176 (not $x2192)))))
-(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 0)))
-(let (($x127 (= ?v0 b_Source$)))
-(or $x127 $x1099 $x2617)))))))) :qid k!42))
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-(let (($x2591 (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 $x2148)))))) :qid k!42))
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-(let (($x2699 (or $x2599 $x2694)))
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-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(or $x178 $x1002))) :qid k!42))
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-(let (($x2945 (or $x2712 $x2940)))
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-(let (($x2113 (<= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ (?v1!7 ?v0)))) 0)))
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-(let (($x1002 (<= (+ b_Infinity$ (* (- 1) ?x174)) 0)))
-(let (($x127 (= ?v0 b_Source$)))
-(or $x127 $x1002 $x2551)))))))) :qid k!42))
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-(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x990 (>= (+ ?x155 ?x174 ?x991) 0)))
-(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x179 (not $x178)))
-(or $x179 $x922 $x990))))))))) :qid k!42))
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-(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 ?x991) 0)))
-(let (($x180 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(let (($x2492 (not $x180)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(or $x178 $x2492 $x1015)))))))) :qid k!42))
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-(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?v0) ?v0))))))
-(let (($x2091 (= ?x2090 0)))
-(let (($x2075 (<= (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0)))) 0)))
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-(let (($x947 (<= (+ b_Infinity$ (* (- 1) ?x128)) 0)))
-(let (($x127 (= ?v0 b_Source$)))
-(or $x127 $x947 $x2478)))))))) :qid k!42))
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-(let ((?x128 (v_b_SP_G_0$ ?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)))))))) :qid k!42))
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-(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(let (($x137 (not $x136)))
-(or $x137 $x922 $x933))))))) :qid k!42))
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-(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))) :qid k!42))
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-(let (($x3000 (not (or $x902 (not $x2992)))))
-(let (($x3005 (or $x1477 $x3000)))
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-(let (($x2837 (or (>= (+ ?x273 (* (- 1) ?x1911)) 0) $x300 (not (= (+ ?x273 (* (- 1) ?x1911) (b_G$ (pair$ ?0 ?v0!20))) 0)))))
-(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 $x3720))))
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-(let (($x2768 (not (fun_app$ v_b_Visited_G_2$ ?1))))
-(let (($x2783 (or $x291 $x2768 $x1262)))
-(let ((@x3719 (monotonicity (quant-intro (refl (= $x2783 $x2783)) (= $x2788 $x3712)) (= (not $x2788) $x3717))))
-(let ((@x3754 (monotonicity (monotonicity @x3719 @x3748 (= (or (not $x2788) (not $x2862)) $x3749)) (= $x2871 $x3752))))
-(let ((@x3760 (monotonicity (monotonicity @x3754 (= $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))))
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-(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 $x3645))))
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-(let ((?x1662 (* (- 1) ?x1661)))
-(let (($x2148 (= (+ ?x230 ?x1662 (b_G$ (pair$ ?0 ?v0!8))) 0)))
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-(let ((@x3607 (monotonicity (quant-intro (refl (= $x2580 $x2580)) (= $x2591 $x3600)) (= (not $x2591) $x3605))))
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-(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)) $x3654))))
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-(let (($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)))))
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-(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 $x3556))))
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-(let (($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)))
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-(let ((@x3554 (monotonicity (quant-intro (refl (= $x2484 $x2484)) (= $x2489 $x3547)) (= (not $x2489) $x3552))))
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-(let (($x2440 (or (>= (+ ?x128 ?x1541) 0) $x137 (not (= (+ ?x128 ?x1541 (b_G$ (pair$ ?0 ?v0!5))) 0)))))
-(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 $x2245))))))) :qid k!42))
-))
-(let (($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 $x1869)))
-(let (($x1871 (not $x1870)))
-(let (($x2271 (or $x1871 $x2268)))
-(let (($x2274 (and $x1256 $x2271)))
-(let (($x2277 (or $x1848 $x2274)))
-(let (($x2280 (and $x297 $x2277)))
-(let (($x2283 (or $x773 $x2280)))
-(let (($x2286 (and $x652 $x2283)))
-(let (($x2289 (or $x1830 $x2286)))
-(let (($x2292 (and $x1247 $x2289)))
-(let (($x2295 (or $x1813 $x2292)))
-(let (($x1779 (not $x1778)))
-(let (($x1774 (not $x1773)))
-(let (($x2301 (and $x1774 $x1779 $x256 $x1214 $x1209 $x266 $x1193 $x1199 $x2295)))
-(let (($x1749 (not $x246)))
-(let (($x1752 (and $x1146 $x1749)))
-(let (($x1733 (not (and (not $x1724) (not $x1730)))))
-(let (($x2212 (or $x1733 $x2209)))
-(let (($x2215 (not $x2212)))
-(let (($x2218 (or $x2215 $x1752)))
-(let (($x2203 (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 (($x2197 (and (not $x2176) $x2192)))
-(let (($x1099 (<= (+ b_Infinity$ (* (- 1) ?x230)) 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 $x2197)))))))))))) :qid k!42))
-))
-(let (($x2221 (and $x2203 $x2218)))
-(let (($x2157 (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)))
-(let (($x2151 (and (not (>= (+ ?x230 ?x1662) 0)) $x2148)))
-(not $x2151)))))) :qid k!42))
-))
-(let (($x1665 (not $x1664)))
-(let (($x1660 (not $x1659)))
-(let (($x2163 (and $x1660 $x1665 $x2157)))
-(let (($x2224 (or $x2163 $x2221)))
-(let (($x1641 (forall ((?v0 B_Vertex$) )(! (let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
-(let (($x1003 (not $x1002)))
-(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(let (($x179 (not $x178)))
-(let (($x1077 (and $x179 $x1003)))
-(not $x1077)))))) :qid k!42))
-))
-(let (($x2230 (and $x1641 $x212 $x215 $x217 $x220 $x2224)))
-(let (($x2306 (or $x2230 $x2301)))
-(let (($x2140 (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 (($x2129 (= ?x2128 0)))
-(let ((?x1613 (?v1!7 ?v0)))
-(let (($x1618 (fun_app$ v_b_Visited_G_1$ ?x1613)))
-(let (($x2134 (and (not (<= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?x1613))) 0)) $x1618 $x2129)))
-(let (($x1002 (<= (+ b_Infinity$ (* (- 1) ?x174)) 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 $x2134))))))))))))) :qid k!42))
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-(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?v0) ?v0))))))
-(let (($x2091 (= ?x2090 0)))
-(let ((?x1578 (?v1!6 ?v0)))
-(let (($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 $x2096))))))))))) :qid k!42))
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-(let (($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 $x1554)))))) :qid k!42))
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-(let (($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 $x2048)))
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-(let (($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 ((@x2775 (monotonicity (rewrite (= $x302 (not (or $x291 $x2768)))) (= $x664 (not (not (or $x291 $x2768)))))))
-(let ((@x2779 (trans @x2775 (rewrite (= (not (not (or $x291 $x2768))) (or $x291 $x2768))) (= $x664 (or $x291 $x2768)))))
-(let ((@x2787 (trans (monotonicity @x2779 (= $x1267 (or (or $x291 $x2768) $x1262))) (rewrite (= (or (or $x291 $x2768) $x1262) $x2783)) (= $x1267 $x2783))))
-(let ((@x2867 (monotonicity (quant-intro @x2787 (= $x1270 $x2788)) @x2864 (= $x2268 (and $x2788 $x2862)))))
-(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)) (trans @x2867 (rewrite (= (and $x2788 $x2862) $x2871)) (= $x2268 $x2871)) (= $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)))))
-(let ((@x2659 (monotonicity (rewrite (= $x1134 (not (or $x1099 $x922)))) (= $x1137 (not (not (or $x1099 $x922)))))))
-(let ((@x2663 (trans @x2659 (rewrite (= (not (not (or $x1099 $x922))) (or $x1099 $x922))) (= $x1137 (or $x1099 $x922)))))
-(let ((@x2671 (trans (monotonicity @x2663 (= $x1143 (or (or $x1099 $x922) $x1140))) (rewrite (= (or (or $x1099 $x922) $x1140) (or $x1099 $x922 $x1140))) (= $x1143 (or $x1099 $x922 $x1140)))))
-(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)))
-(let ((@x2470 (monotonicity (rewrite (= $x951 (not (or $x127 $x947)))) (= $x954 (not (not (or $x127 $x947)))))))
-(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))))
-(let ((@x2463 (trans (monotonicity @x2453 (= $x2062 (and $x1539 $x1544 $x2451))) (rewrite (= (and $x1539 $x1544 $x2451) $x2459)) (= $x2062 $x2459))))
-(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)))))
-(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)))))
-(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)))))
-(let ((@x2413 (trans (monotonicity @x2405 (= $x2051 (or (or $x2394 $x1517) $x2048))) (rewrite (= (or (or $x2394 $x1517) $x2048) $x2409)) (= $x2051 $x2409))))
-(let ((@x2980 (monotonicity (monotonicity @x2413 (= $x2054 $x2414)) (trans @x2969 (rewrite (= (and $x2436 $x2964) $x2973)) (= $x2323 $x2973)) (= $x2326 $x2978))))
-(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 $x1925)))))) :qid k!42))
-))
-(let (($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 $x1707))))))))))))) :qid k!42))
-))
-(let (($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 $x1675))))) :qid k!42))
-))
-(let (($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 $x1623))))))))))))))) :qid k!42))
-))
-(let (($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 $x1588))))))))))))) :qid k!42))
-))
-(let (($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)))))) :qid k!42))
-))
-(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) $x1756))))
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-(let (($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))))) :qid k!42))
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-(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))) :qid k!42))
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-(let ((@x5049 (unit-resolution @x4363 @x5955 $x3904)))
-(let ((?x5210 (pair$ v_b_v_G_1$ ?v0!15)))
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-(let ((?x4456 (* (- 1) ?x1846)))
-(let ((?x6267 (+ ?x257 ?x4456 ?x5018)))
-(let (($x5853 (<= ?x6267 0)))
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-(let (($x4911 (<= (+ b_Infinity$ (* (- 1) ?x5018)) 0)))
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-(let ((?x3946 (b_G$ ?x3945)))
-(let ((?x3031 (* (- 1) ?x3946)))
-(let ((?x3056 (+ ?x3142 ?x3989 ?x3031)))
-(let (($x3032 (= ?x3056 0)))
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-(let ((?x3984 (+ ?x1661 ?x3144)))
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-(let ((@x3138 (def-axiom (or $x3642 $x3636))))
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-(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$)))
-(let (($x7452 (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) ) :qid k!38))
-))
-(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)))) :qid k!38))
-))
-(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)))) :qid k!38))
-))
-(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 ((@x7485 (trans @x6213 (rewrite (= $x6435 $x6435)) (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
-(let ((@x7486 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!15) (or $x4114 (= $x6630 (ite $x6631 true $x6269)))) @x7485 $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) ) :qid k!41))
-))
-(let (($x120 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x84 (= ?v0 ?v1)))
-(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :qid k!41))
-))
-(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)) $x102)))) :qid k!41))
-))
-(let (($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 $x102))))) :qid k!41))
-))
-(let ((?x29 (pair$ ?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) ) :qid k!40))
-))
-(let (($x99 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :qid k!40))
-))
-(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))) :qid k!40))
-))
-(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 ((@x7617 (unit-resolution (def-axiom (or $x3794 $x1830 $x3788)) (lemma @x6162 $x1829) (unit-resolution (def-axiom (or $x3797 $x3791)) @x6891 $x3791) $x3788)))
-(let ((@x7618 (unit-resolution (def-axiom (or $x3785 $x3695)) @x7617 $x3695)))
-(let ((@x7447 (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 @x7447 @x7618 (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 @x7486 @x3473 $x7702) (not $x7698))))
-(let ((@x7344 (mp (unit-resolution (def-axiom (or $x7698 $x7452)) @x7334 $x7452) (monotonicity @x7337 (= $x7452 $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)) @x7617 $x3779) @x6788 $x3776)))
-(let ((@x3347 (def-axiom (or $x3770 $x1848 $x3764))))
-(let ((@x9303 (unit-resolution @x3347 (unit-resolution (def-axiom (or $x3773 $x3767)) @x7810 $x3767) $x3767)))
-(let ((@x9304 (unit-resolution @x9303 (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) ) :qid k!37))
-))
-(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) :qid k!37))
-))
-(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) :qid k!37))
-))
-(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 ((@x7413 (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 ((@x7705 (unit-resolution (unit-resolution @x5428 @x7413 (or $x4569 (not $x4161) $x1914 $x3725)) (unit-resolution @x4337 (unit-resolution @x3367 @x9304 $x3703) $x4161) (or $x4569 $x1914 $x3725))))
-(let ((@x4467 (unit-resolution @x7705 (unit-resolution (def-axiom (or $x3737 $x1915)) @x4391 $x1915) (unit-resolution @x3222 @x4391 $x3720) $x4569)))
-(let (($x5386 (= v_b_v_G_1$ ?v0!20)))
-(let (($x5390 (not $x5386)))
-(let ((@x9335 (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$)))
-(let (($x9098 (not $x5240)))
-(let (($x4609 (fun_app$ v_b_Visited_G_1$ ?v0!20)))
-(let (($x9110 (or $x5240 $x4609)))
-(let (($x5237 (fun_app$ ?x265 ?v0!20)))
-(let (($x9115 (= $x5237 $x9110)))
-(let (($x9118 (or $x4114 $x9115)))
-(let ((@x9117 (monotonicity (rewrite (= (ite $x5240 true $x4609) $x9110)) (= (= $x5237 (ite $x5240 true $x4609)) $x9115))))
-(let ((@x9122 (monotonicity @x9117 (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9118))))
-(let ((@x9099 (trans @x9122 (rewrite (= $x9118 $x9118)) (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9118))))
-(let ((@x9100 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!20) (or $x4114 (= $x5237 (ite $x5240 true $x4609)))) @x9099 $x9118)))
-(let ((@x9326 (symm (monotonicity @x5875 (= $x5237 (fun_app$ v_b_Visited_G_2$ ?v0!20))) (= (fun_app$ v_b_Visited_G_2$ ?v0!20) $x5237))))
-(let ((@x9328 (monotonicity @x9326 (= (not (fun_app$ 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 ((@x7926 (mp ((_ quant-inst ?v0!20) (or $x3700 $x4403)) (rewrite (= (or $x3700 $x4403) (or $x3700 $x4279 $x4400))) (or $x3700 $x4279 $x4400))))
-(let ((@x9302 (unit-resolution (unit-resolution @x7926 @x7618 $x4403) (hypothesis (not $x4400)) $x4279)))
-(let ((@x9330 (unit-resolution (def-axiom (or (not $x9115) $x5237 (not $x9110))) (mp @x9302 @x9328 (not $x5237)) (unit-resolution @x9100 @x3473 $x9115) (not $x9110))))
-(let ((@x9338 (mp (unit-resolution (def-axiom (or $x9110 $x9098)) @x9330 $x9098) (monotonicity @x9335 (= $x9098 $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 ((@x9291 (unit-resolution (unit-resolution @x6824 @x5944 $x6831) (hypothesis (not $x4400)) $x6684)))
-(let ((@x7434 (unit-resolution (def-axiom (or $x6723 (not $x4438))) (hypothesis $x6684) (not $x4438))))
-(let ((@x7480 (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) @x7480 @x7434 (hypothesis (not $x5673)) false)))
-(let ((@x7699 (lemma @x7649 (or $x6723 $x5673))))
-(let ((@x9295 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5673) $x4507)) (unit-resolution @x7699 @x9291 $x5673) $x4507)))
-(let ((@x9297 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x4507) $x4570 (not $x3886))) @x6925 (or (not $x4507) $x4570))))
-(let ((@x7017 (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 $x7151)))))
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-(let ((@x7506 (unit-resolution (mp ((_ quant-inst v_b_v_G_1$) $x7317) @x7313 $x7157) (hypothesis $x3729) @x7413 (or $x7049 $x7151))))
-(let ((@x9300 (unit-resolution @x7506 (unit-resolution @x7017 (unit-resolution @x9297 @x9295 $x4570) $x7135) $x7049)))
-(let (($x4382 (>= ?x4381 0)))
-(let ((?x6481 (pair$ v_b_v_G_1$ ?v1!16)))
-(let ((?x6374 (b_G$ ?x6481)))
-(let (($x7203 (<= ?x6374 0)))
-(let (($x7206 (not $x7203)))
-(let (($x7202 (= v_b_v_G_1$ ?v1!16)))
-(let (($x7265 (not $x7202)))
-(let (($x6813 (= ?v1!16 v_b_v_G_1$)))
-(let (($x6712 (not $x6813)))
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-(let (($x8313 (or $x6813 $x6814)))
-(let (($x6812 (fun_app$ ?x265 ?v1!16)))
-(let (($x4356 (= $x6812 $x8313)))
-(let (($x6492 (or $x4114 $x4356)))
-(let ((@x6175 (monotonicity (rewrite (= (ite $x6813 true $x6814) $x8313)) (= (= $x6812 (ite $x6813 true $x6814)) $x4356))))
-(let ((@x7654 (monotonicity @x6175 (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6492))))
-(let ((@x7598 (trans @x7654 (rewrite (= $x6492 $x6492)) (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6492))))
-(let ((@x7600 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!16) (or $x4114 (= $x6812 (ite $x6813 true $x6814)))) @x7598 $x6492)))
-(let ((@x8661 (monotonicity (symm (monotonicity @x5875 (= $x6812 $x1860)) (= $x1860 $x6812)) (= (not $x1860) (not $x6812)))))
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-(let ((@x8181 (mp (unit-resolution (def-axiom (or $x2760 $x1861)) @x8145 $x1861) @x8661 (not $x6812))))
-(let ((@x8616 (unit-resolution (def-axiom (or (not $x4356) $x6812 (not $x8313))) @x8181 (unit-resolution @x7600 @x3473 $x4356) (not $x8313))))
-(let ((@x8179 (unit-resolution (hypothesis $x6712) (symm (hypothesis $x7202) $x6813) false)))
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-(let ((@x7214 (rewrite (= (or (not $x3480) (or $x7202 $x7206)) (or (not $x3480) $x7202 $x7206)))))
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-(let ((?x6126 (* (- 1) ?x1865)))
-(let ((?x6400 (+ ?x257 ?x6126 ?x6374)))
-(let (($x6319 (<= ?x6400 0)))
-(let (($x7408 (= ?x6400 0)))
-(let (($x6238 (<= (+ b_Infinity$ (* (- 1) ?x6374)) 0)))
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-(let (($x4492 (or $x6238 $x7540)))
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-(let (($x6378 (= ?x1865 ?x6234)))
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-(let (($x7946 (or $x6814 $x8639)))
-(let (($x8076 (or $x3665 $x6814 $x8639)))
-(let ((@x8377 (monotonicity (rewrite (= (+ ?x6234 ?x1173) (+ ?x1173 ?x6234))) (= (>= (+ ?x6234 ?x1173) 0) (>= (+ ?x1173 ?x6234) 0)))))
-(let ((@x8401 (trans @x8377 (rewrite (= (>= (+ ?x1173 ?x6234) 0) $x8639)) (= (>= (+ ?x6234 ?x1173) 0) $x8639))))
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-(let ((@x8777 (unit-resolution @x8127 (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) $x7946)))
-(let ((@x8778 (unit-resolution @x8777 (unit-resolution (def-axiom (or $x8313 (not $x6814))) @x8616 (not $x6814)) $x8639)))
-(let ((?x1866 (v_b_SP_G_2$ ?v0!17)))
-(let ((?x6890 (+ ?x1866 ?x3105)))
-(let (($x6886 (<= ?x6890 0)))
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-(let (($x4593 (= $x4471 $x4499)))
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-(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))))
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-(let ((@x8750 (unit-resolution (def-axiom (or (not $x4593) (not $x4471) $x4499)) @x8749 (unit-resolution @x6125 @x3473 $x4593) $x4499)))
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-(let ((?x5972 (+ ?x257 ?x6307)))
-(let (($x7220 (>= ?x5972 0)))
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-(let ((?x5902 (+ ?x1866 ?x6307)))
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-(let (($x6088 (or $x3691 $x6327)))
-(let (($x6436 (>= (+ ?x4496 (* (- 1) ?x1866)) 0)))
-(let ((@x6464 (monotonicity (rewrite (= (+ ?x4496 (* (- 1) ?x1866)) (+ (* (- 1) ?x1866) ?x4496))) (= $x6436 (>= (+ (* (- 1) ?x1866) ?x4496) 0)))))
-(let ((@x5905 (trans @x6464 (rewrite (= (>= (+ (* (- 1) ?x1866) ?x4496) 0) $x6327)) (= $x6436 $x6327))))
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-(let (($x6485 (not $x4478)))
-(let (($x6889 (= ?x1866 ?x3104)))
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-(let ((@x6921 (unit-resolution (hypothesis $x6250) (monotonicity (hypothesis $x4478) $x6889) false)))
-(let ((@x6939 (lemma @x6921 (or $x6485 $x6889))))
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-(let ((@x8341 (unit-resolution @x5812 (unit-resolution @x6939 (unit-resolution @x6214 @x6513 $x6250) $x6485) (hypothesis $x4499) $x3187)))
-(let (($x7229 (= (or $x3570 (or $x255 (not $x3187) $x7220)) (or $x3570 $x255 (not $x3187) $x7220))))
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-(let ((@x8747 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 -1 1) (or $x8588 (not $x8639) $x1869 $x6936 (not $x4177) (not $x3044))) (unit-resolution @x8111 @x8750 $x6886) @x6933 @x6930 (unit-resolution (def-axiom (or $x2760 (not $x1869))) @x8145 (not $x1869)) @x8778 $x8588)))
-(let (($x6079 (or $x4445 $x6378)))
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-(let (($x6539 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0)))
-(let ((@x6817 (rewrite (= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) (+ ?x1173 ?x6234 (* (- 1) ?x6374))))))
-(let ((@x7239 (monotonicity @x6817 (= $x6539 (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0)))))
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-(let ((@x7376 (monotonicity (monotonicity @x6718 (= $x6219 $x6079)) (= $x6365 (or $x3683 $x6079)))))
-(let ((@x7375 (mp ((_ quant-inst ?v1!16) $x6365) (trans @x7376 (rewrite (= (or $x3683 $x6079) $x6188)) (= $x6365 $x6188)) $x6188)))
-(let ((@x8141 (unit-resolution (unit-resolution @x7375 @x5944 $x6079) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8060 $x7372)) @x8747 $x8060) $x4445)))
-(let (($x7378 (or $x6238 $x7540 $x7408)))
-(let (($x7022 (or $x3675 $x6238 $x7540 $x7408)))
-(let (($x6399 (or $x6238 $x6539 (= (+ ?x257 ?x6374 ?x6126) 0))))
-(let (($x6139 (or $x3675 $x6399)))
-(let ((@x7409 (monotonicity (rewrite (= (+ ?x257 ?x6374 ?x6126) ?x6400)) (= (= (+ ?x257 ?x6374 ?x6126) 0) $x7408))))
-(let ((@x6535 (monotonicity (monotonicity @x4408 @x7409 (= $x6399 $x7378)) (= $x6139 (or $x3675 $x7378)))))
-(let ((@x7425 (mp ((_ quant-inst ?v1!16) $x6139) (trans @x6535 (rewrite (= (or $x3675 $x7378) $x7022)) (= $x6139 $x7022)) $x7022)))
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-(let ((@x8386 ((_ th-lemma arith farkas 1 1 1 1 1 1) (unit-resolution (def-axiom (or $x2760 (not $x1869))) @x8145 (not $x1869)) (unit-resolution @x8111 @x8750 $x6886) @x6933 @x6930 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x7408) $x6319)) @x8177 $x6319) (unit-resolution @x8872 @x8586 $x7206) false)))
-(let ((@x3365 (def-axiom (or $x3758 $x2765 $x3752))))
-(let ((@x9306 (unit-resolution @x3365 (lemma @x8386 $x2760) (unit-resolution (def-axiom (or $x3761 $x3755)) @x9304 $x3755) $x3752)))
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-(let ((@x9309 (unit-resolution @x7980 (unit-resolution (def-axiom (or $x3749 $x3712)) @x9306 $x3712) @x7413 (or $x4278 $x4382))))
-(let (($x4508 (>= ?x4487 0)))
-(let ((@x9314 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or $x4508 (not $x4569) (not $x3886))) @x6925 (or $x4508 (not $x4569)))))
-(let ((@x9316 ((_ th-lemma arith eq-propagate -1 -1 -1 -1 -1 -1 1 1) (unit-resolution @x9314 (hypothesis $x4569) $x4508) @x9295 (unit-resolution @x9309 @x9302 $x4382) @x9300 @x6019 @x6933 @x6930 @x7839 $x5391)))
-(let (($x5388 (not $x5387)))
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-(let ((@x9321 (unit-resolution (unit-resolution @x7596 @x3485 $x5389) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5391) $x5387)) @x9316 $x5387) $x5386)))
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-(let ((@x8892 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4400) $x5977)) @x8870 $x5977)))
-(let ((?x4641 (?v1!7 ?v0!20)))
-(let ((?x4648 (pair$ ?x4641 ?v0!20)))
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-(let ((?x4642 (fun_app$c v_b_SP_G_1$ ?x4641)))
-(let ((?x4643 (* (- 1) ?x4642)))
-(let ((?x4651 (+ ?x4393 ?x4643 ?x4650)))
-(let (($x8653 (>= ?x4651 0)))
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-(let ((?x4644 (+ ?x4393 ?x4643)))
-(let (($x4645 (<= ?x4644 0)))
-(let (($x4654 (or $x4645 $x4647 $x4653)))
-(let (($x4655 (not $x4654)))
-(let (($x4640 (<= (+ b_Infinity$ ?x4418) 0)))
-(let (($x7886 (not $x4640)))
-(let ((@x8893 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x5977) $x1914 $x7886)) @x8892 (unit-resolution (def-axiom (or $x3737 $x1915)) @x4391 $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 ((@x8894 (unit-resolution @x7415 @x4545 (unit-resolution (def-axiom (or $x3737 $x1910)) @x4391 $x1910) (or $x4640 $x4655))))
-(let ((@x8897 (unit-resolution @x8894 @x8893 $x4655)))
-(let ((@x8280 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x8653)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8897 $x4652) $x8653)))
-(let (($x8584 (<= ?x4651 0)))
-(let ((@x7677 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x8584)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8897 $x4652) $x8584)))
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-(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))))))
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-(let (($x5988 (or $x5985 $x4646)))
-(let (($x5991 (= $x5978 $x5988)))
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-(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 ((@x8188 (unit-resolution (lemma @x6038 (or $x4689 $x2935 $x4647)) (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (or $x4689 $x4647))))
-(let ((@x8763 (unit-resolution @x8188 (unit-resolution (def-axiom (or $x4654 $x4646)) @x8897 $x4646) $x4689)))
-(let ((?x4697 (v_b_SP_G_2$ ?x4641)))
-(let ((?x4700 (* (- 1) ?x4697)))
-(let ((?x4868 (+ ?x1911 ?x4700)))
-(let (($x7732 (<= ?x4868 0)))
-(let (($x9853 (not $x7732)))
-(let ((?x4701 (+ ?x4642 ?x4700)))
-(let (($x4708 (>= ?x4701 0)))
-(let ((@x8509 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x9853 $x4645 (not $x5977) (not $x4708))) @x8892 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (unit-resolution (def-axiom (or $x4654 (not $x4645))) @x8897 (not $x4645)) $x9853)))
-(let ((?x7938 (+ ?x1911 ?x4650 ?x4700)))
-(let (($x8292 (<= ?x7938 0)))
-(let (($x5038 (<= ?x4701 0)))
-(let (($x8272 (= ?x4642 ?x4697)))
-(let ((@x9865 (symm (commutativity (= $x8272 (= ?x4697 ?x4642))) (= (= ?x4697 ?x4642) $x8272))))
-(let (($x4698 (= ?x4697 ?x4642)))
-(let ((@x8267 (rewrite (= (or $x3700 (or (not $x4689) $x4698)) (or $x3700 (not $x4689) $x4698)))))
-(let ((@x8268 (mp ((_ quant-inst (?v1!7 ?v0!20)) (or $x3700 (or (not $x4689) $x4698))) @x8267 (or $x3700 (not $x4689) $x4698))))
-(let ((@x9794 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8272) $x5038)) (mp (unit-resolution @x8268 @x7618 (hypothesis $x4689) $x4698) @x9865 $x8272) $x5038)))
-(let (($x7927 (<= ?x4419 0)))
-(let (($x8009 (or $x3691 $x7927)))
-(let ((@x8030 (monotonicity (rewrite (= (+ ?x4393 ?x1912) (+ ?x1912 ?x4393))) (= (>= (+ ?x4393 ?x1912) 0) (>= (+ ?x1912 ?x4393) 0)))))
-(let ((@x8091 (trans @x8030 (rewrite (= (>= (+ ?x1912 ?x4393) 0) $x7927)) (= (>= (+ ?x4393 ?x1912) 0) $x7927))))
-(let ((@x8854 (trans (monotonicity @x8091 (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8009)) (rewrite (= $x8009 $x8009)) (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8009))))
-(let ((@x9860 (unit-resolution (mp ((_ quant-inst ?v0!20) (or $x3691 (>= (+ ?x4393 ?x1912) 0))) @x8854 $x8009) @x6892 $x7927)))
-(let ((@x10107 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8292 (not $x8584) (not $x7927) (not $x5038))) @x9860 (hypothesis $x8584) @x9794 $x8292)))
-(let (($x8954 (>= ?x7938 0)))
-(let ((@x10056 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8954 (not $x8653) (not $x5977) (not $x4708))) (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (hypothesis $x8653) (hypothesis $x5977) $x8954)))
-(let (($x8665 (= ?x7938 0)))
-(let (($x9226 (not $x8665)))
-(let (($x4690 (not $x4689)))
-(let (($x6495 (or $x3734 $x7732 $x4690 $x9226)))
-(let (($x4857 (>= (+ ?x4697 ?x1912) 0)))
-(let (($x4861 (or $x4857 $x4690 (not (= (+ ?x4697 ?x1912 ?x4649) 0)))))
-(let (($x9201 (or $x3734 $x4861)))
-(let ((@x8630 (monotonicity (rewrite (= (+ ?x4697 ?x1912 ?x4649) (+ ?x1912 ?x4649 ?x4697))) (= (= (+ ?x4697 ?x1912 ?x4649) 0) (= (+ ?x1912 ?x4649 ?x4697) 0)))))
-(let ((@x8460 (trans @x8630 (rewrite (= (= (+ ?x1912 ?x4649 ?x4697) 0) $x8665)) (= (= (+ ?x4697 ?x1912 ?x4649) 0) $x8665))))
-(let ((@x7449 (monotonicity (rewrite (= (+ ?x4697 ?x1912) (+ ?x1912 ?x4697))) (= $x4857 (>= (+ ?x1912 ?x4697) 0)))))
-(let ((@x7972 (trans @x7449 (rewrite (= (>= (+ ?x1912 ?x4697) 0) $x7732)) (= $x4857 $x7732))))
-(let ((@x4476 (monotonicity @x7972 (monotonicity @x8460 (= (not (= (+ ?x4697 ?x1912 ?x4649) 0)) $x9226)) (= $x4861 (or $x7732 $x4690 $x9226)))))
-(let ((@x8430 (trans (monotonicity @x4476 (= $x9201 (or $x3734 (or $x7732 $x4690 $x9226)))) (rewrite (= (or $x3734 (or $x7732 $x4690 $x9226)) $x6495)) (= $x9201 $x6495))))
-(let ((@x10015 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!20)) $x9201) @x8430 $x6495) (hypothesis $x3729) (hypothesis $x4689) (or $x7732 $x9226))))
-(let ((@x10016 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8665 (not $x8292) (not $x8954))) (unit-resolution @x10015 (hypothesis $x9853) $x9226) @x10056 @x10107 false)))
-(let ((@x8164 (unit-resolution (lemma @x10016 (or $x7732 $x3734 $x4690 (not $x8584) (not $x8653) (not $x5977))) @x8509 (unit-resolution (def-axiom (or $x3737 $x3729)) @x4391 $x3729) @x8763 @x7677 @x8280 @x8892 false)))
-(let ((@x3278 (def-axiom (or $x3746 $x2811 $x3740))))
-(let ((@x8072 (unit-resolution @x3278 (unit-resolution (def-axiom (or $x3749 $x3743)) @x9306 $x3743) $x3743)))
-(let (($x3378 (not $x1896)))
-(let ((@x3380 (def-axiom (or $x2806 $x3378))))
-(let ((@x8073 (unit-resolution @x3380 (unit-resolution @x8072 (lemma @x8164 $x3737) $x2811) $x3378)))
-(let ((?x6619 (fun_app$c v_b_SP_G_1$ ?v1!18)))
-(let (($x6615 (= ?x1892 ?x6619)))
-(let (($x7620 (not $x6615)))
-(let ((@x7607 (hypothesis $x2811)))
-(let ((@x7608 (unit-resolution (def-axiom (or $x2806 $x1883)) @x7607 $x1883)))
-(let ((@x7570 (hypothesis $x3378)))
-(let (($x1889 (not $x1888)))
-(let ((@x7615 (unit-resolution (def-axiom (or $x2806 $x1889)) @x7607 $x1889)))
-(let ((?x6721 (* (- 1) ?x6619)))
-(let ((?x5600 (+ ?x1892 ?x6721)))
-(let (($x7353 (>= ?x5600 0)))
-(let ((@x9059 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7620 $x7353)) (hypothesis $x6615) $x7353)))
-(let ((?x7110 (pair$ 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 ((@x7004 (hypothesis $x7353)))
-(let ((?x7053 (fun_app$c v_b_SP_G_1$ ?v0!19)))
-(let ((?x7074 (* (- 1) ?x7053)))
-(let ((?x7075 (+ ?x1893 ?x7074)))
-(let (($x7076 (<= ?x7075 0)))
-(let (($x7084 (or $x3691 $x7076)))
-(let ((@x7073 (monotonicity (rewrite (= (+ ?x7053 ?x1894) (+ ?x1894 ?x7053))) (= (>= (+ ?x7053 ?x1894) 0) (>= (+ ?x1894 ?x7053) 0)))))
-(let ((@x7080 (trans @x7073 (rewrite (= (>= (+ ?x1894 ?x7053) 0) $x7076)) (= (>= (+ ?x7053 ?x1894) 0) $x7076))))
-(let ((@x7090 (trans (monotonicity @x7080 (= (or $x3691 (>= (+ ?x7053 ?x1894) 0)) $x7084)) (rewrite (= $x7084 $x7084)) (= (or $x3691 (>= (+ ?x7053 ?x1894) 0)) $x7084))))
-(let ((@x7496 (unit-resolution (mp ((_ quant-inst ?v0!19) (or $x3691 (>= (+ ?x7053 ?x1894) 0))) @x7090 $x7084) @x6892 $x7076)))
-(let ((@x7501 (lemma ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x7248) @x7570 @x7496 @x7004 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 ((@x9076 (unit-resolution (unit-resolution @x7051 @x4223 (hypothesis $x1889) (or $x6211 $x7248)) (unit-resolution @x7501 @x9059 @x7570 $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 ((@x9160 (mp (hypothesis $x1883) (symm (monotonicity @x5875 (= $x6667 $x1883)) (= $x1883 $x6667)) $x6667)))
-(let ((@x9163 (unit-resolution (def-axiom (or (not $x6740) (not $x6667) $x7222)) @x9160 (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 ((@x9060 (unit-resolution @x7011 (unit-resolution @x7002 (unit-resolution @x4955 @x9163 @x9076 $x7243) $x7003) $x7556)))
-(let (($x7366 (<= (+ ?x257 ?x6721) 0)))
-(let (($x8813 (or $x3665 $x7246 $x7366)))
-(let (($x7357 (>= (+ ?x6619 ?x1173) 0)))
-(let (($x7358 (or $x7246 $x7357)))
-(let (($x8814 (or $x3665 $x7358)))
-(let ((@x8805 (monotonicity (rewrite (= (+ ?x6619 ?x1173) (+ ?x1173 ?x6619))) (= $x7357 (>= (+ ?x1173 ?x6619) 0)))))
-(let ((@x8809 (trans @x8805 (rewrite (= (>= (+ ?x1173 ?x6619) 0) $x7366)) (= $x7357 $x7366))))
-(let ((@x8818 (monotonicity (monotonicity @x8809 (= $x7358 (or $x7246 $x7366))) (= $x8814 (or $x3665 (or $x7246 $x7366))))))
-(let ((@x8822 (trans @x8818 (rewrite (= (or $x3665 (or $x7246 $x7366)) $x8813)) (= $x8814 $x8813))))
-(let ((@x8620 (unit-resolution (mp ((_ quant-inst ?v1!18) $x8814) @x8822 $x8813) (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) @x9076 $x7366)))
-(let (($x7102 (<= (+ b_Infinity$ ?x7100) 0)))
-(let (($x7158 (not $x7102)))
-(let ((@x8621 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x7158 $x1888 (not $x7556))) @x9060 (hypothesis $x1889) $x7158)))
-(let ((?x7171 (+ ?x257 ?x1894 ?x7111)))
-(let (($x7252 (>= ?x7171 0)))
-(let (($x7575 (not $x7252)))
-(let ((@x8781 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 1) (or $x7575 $x1896 (not $x7353) (not $x7366) (not $x7556))) @x8620 @x9060 @x7570 @x9059 $x7575)))
-(let (($x7117 (>= (+ ?x257 ?x7074 ?x7111) 0)))
-(let (($x7161 (not $x7117)))
-(let ((@x9234 ((_ th-lemma arith assign-bounds -1 -1 1 -1 1) (or $x7161 (not $x7076) $x1896 (not $x7353) (not $x7366) (not $x7556)))))
-(let ((@x9235 (unit-resolution @x9234 (hypothesis $x7366) (hypothesis $x7556) @x7570 @x7004 @x7496 $x7161)))
-(let ((@x9237 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x7171 0)) $x7252)) (hypothesis $x7575) (not (= ?x7171 0)))))
-(let (($x7174 (= ?x7171 0)))
-(let (($x7184 (or $x7102 $x7117 $x7174)))
-(let (($x7186 (or $x3675 $x7102 $x7117 $x7174)))
-(let (($x7104 (<= (+ ?x7053 ?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 ((@x7115 (monotonicity (rewrite (= (+ ?x7053 ?x1173 ?x7100) (+ ?x1173 ?x7053 ?x7100))) (= $x7104 (<= (+ ?x1173 ?x7053 ?x7100) 0)))))
-(let ((@x7128 (trans @x7115 (rewrite (= (<= (+ ?x1173 ?x7053 ?x7100) 0) $x7117)) (= $x7104 $x7117))))
-(let ((@x7205 (monotonicity (monotonicity @x7128 @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 ((@x9238 (unit-resolution (unit-resolution @x7250 @x6588 $x7184) @x9237 @x9235 (hypothesis $x7158) false)))
-(let ((@x8782 (unit-resolution (lemma @x9238 (or $x7252 $x7102 (not $x7366) (not $x7556) $x1896 (not $x7353))) @x8781 @x8621 @x8620 @x9060 @x7570 @x9059 false)))
-(let ((@x8908 (unit-resolution (lemma @x8782 (or $x7620 $x1896 $x1888 $x2791)) @x7615 @x7570 @x7608 $x7620)))
-(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))))
-(unit-resolution (lemma (unit-resolution @x7245 @x7618 @x7608 @x8908 false) (or $x2806 $x1896)) @x8073 (unit-resolution @x8072 (lemma @x8164 $x3737) $x2811) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
-ad24f408c8d068cc8218aa0fd750dfcacc455689 2983 0
-unsat
-((set-logic AUFLIA)
-(declare-fun ?v0!20 () B_Vertex$)
-(declare-fun ?v0!19 () B_Vertex$)
-(declare-fun ?v1!18 () B_Vertex$)
-(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$)
-(proof
-(let ((?x260 (fun_upd$ v_b_Visited_G_1$ v_b_v_G_1$ true)))
-(let (($x5237 (fun_app$ ?x260 ?v0!20)))
-(let (($x9037 (not $x5237)))
-(let (($x261 (= v_b_Visited_G_2$ ?x260)))
-(let (($x3724 (forall ((?v1 B_Vertex$) )(! (let ((?x1906 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1907 (* (- 1) ?x1906)))
-(let ((?x268 (v_b_SP_G_2$ ?v1)))
-(let (($x2237 (= (+ ?x268 ?x1907 (b_G$ (pair$ ?v1 ?v0!20))) 0)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x295 (not $x286)))
-(or (>= (+ ?x268 ?x1907) 0) $x295 (not $x2237)))))))) :pattern ( (v_b_SP_G_2$ ?v1) ) :pattern ( (fun_app$ v_b_Visited_G_2$ ?v1) ) :pattern ( (pair$ ?v1 ?v0!20) ) :qid k!38))
-))
-(let (($x3729 (not $x3724)))
-(let ((?x1906 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1907 (* (- 1) ?x1906)))
-(let ((?x1908 (+ b_Infinity$ ?x1907)))
-(let (($x1909 (<= ?x1908 0)))
-(let (($x1904 (= ?v0!20 b_Source$)))
-(let (($x3715 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x298 (v_b_SP_G_2$ ?v0)))
-(let ((?x1258 (* (- 1) ?x298)))
-(let ((?x268 (v_b_SP_G_2$ ?v1)))
-(let ((?x152 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1277 (>= (+ ?x152 ?x268 ?x1258) 0)))
-(let (($x917 (<= (+ b_Infinity$ (* (- 1) ?x152)) 0)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x295 (not $x286)))
-(or $x295 $x917 $x1277))))))))) :pattern ( (pair$ ?v1 ?v0) ) :qid k!38))
-))
-(let (($x3720 (not $x3715)))
-(let (($x3732 (or $x3720 $x1904 $x1909 $x3729)))
-(let (($x3735 (not $x3732)))
-(let ((?x1888 (v_b_SP_G_2$ ?v0!19)))
-(let ((?x1889 (* (- 1) ?x1888)))
-(let ((?x1887 (v_b_SP_G_2$ ?v1!18)))
-(let ((?x1879 (pair$ ?v1!18 ?v0!19)))
-(let ((?x1880 (b_G$ ?x1879)))
-(let (($x1891 (>= (+ ?x1880 ?x1887 ?x1889) 0)))
-(let (($x1883 (<= (+ b_Infinity$ (* (- 1) ?x1880)) 0)))
-(let (($x1878 (fun_app$ v_b_Visited_G_2$ ?v1!18)))
-(let (($x2786 (not $x1878)))
-(let (($x2801 (or $x2786 $x1883 $x1891)))
-(let (($x2806 (not $x2801)))
-(let (($x3738 (or $x2806 $x3735)))
-(let (($x3741 (not $x3738)))
-(let (($x3707 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x1257 (>= (+ (v_b_SP_G_2$ ?v1) (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
-(let (($x296 (fun_app$ v_b_Visited_G_2$ ?v0)))
-(let (($x2763 (not $x296)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
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-(let (($x1864 (>= (+ (v_b_SP_G_2$ ?v1!16) (* (- 1) (v_b_SP_G_2$ ?v0!17))) 0)))
-(let (($x1857 (fun_app$ v_b_Visited_G_2$ ?v0!17)))
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-(let (($x1855 (fun_app$ v_b_Visited_G_2$ ?v1!16)))
-(let (($x2755 (or $x1855 $x2740 $x1864)))
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-(let (($x3750 (or $x2760 $x3747)))
-(let (($x3753 (not $x3750)))
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-(>= ?x268 0)) :pattern ( (v_b_SP_G_2$ ?v0) ) :qid k!38))
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-(let (($x3756 (or $x3703 $x3753)))
-(let (($x3759 (not $x3756)))
-(let ((?x1841 (v_b_SP_G_2$ ?v0!15)))
-(let (($x1842 (>= ?x1841 0)))
-(let (($x1843 (not $x1842)))
-(let (($x3762 (or $x1843 $x3759)))
-(let (($x3765 (not $x3762)))
-(let ((?x291 (v_b_SP_G_2$ b_Source$)))
-(let (($x292 (= ?x291 0)))
-(let (($x768 (not $x292)))
-(let (($x3768 (or $x768 $x3765)))
-(let (($x3771 (not $x3768)))
-(let (($x3774 (or $x768 $x3771)))
-(let (($x3777 (not $x3774)))
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-(let ((?x268 (v_b_SP_G_2$ ?v0)))
-(let (($x273 (= ?x268 ?x171)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v0)))
-(let (($x295 (not $x286)))
-(or $x295 $x273)))))) :pattern ( (fun_app$ v_b_Visited_G_2$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) ) :pattern ( (fun_app$a v_b_SP_G_1$ ?v0) ) :qid k!38))
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-(let (($x3780 (or $x3695 $x3777)))
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-(let ((?x1822 (fun_app$a v_b_SP_G_1$ ?v0!14)))
-(let ((?x1821 (v_b_SP_G_2$ ?v0!14)))
-(let (($x1823 (= ?x1821 ?x1822)))
-(let (($x1824 (or (not (fun_app$ v_b_Visited_G_2$ ?v0!14)) $x1823)))
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-(let (($x3795 (not $x3792)))
-(let ((?x1804 (v_b_SP_G_2$ ?v0!13)))
-(let ((?x1805 (* (- 1) ?x1804)))
-(let ((?x1803 (fun_app$a v_b_SP_G_1$ ?v0!13)))
-(let ((?x1806 (+ ?x1803 ?x1805)))
-(let (($x1807 (>= ?x1806 0)))
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-(let (($x3801 (not $x3798)))
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-(let (($x273 (= ?x268 ?x171)))
-(let ((?x254 (fun_app$a v_b_SP_G_1$ v_b_v_G_1$)))
-(let ((?x1168 (* (- 1) ?x254)))
-(let (($x1170 (<= (+ ?x171 ?x1168 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
-(let (($x1164 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0)))) 0)))
-(let (($x2712 (or $x1164 $x1170)))
-(let (($x2713 (not $x2712)))
-(or $x2713 $x273)))))))))) :pattern ( (pair$ v_b_v_G_1$ ?v0) ) :pattern ( (fun_app$a v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) ) :qid k!38))
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-(let ((?x263 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
-(let ((?x254 (fun_app$a v_b_SP_G_1$ v_b_v_G_1$)))
-(let (($x1180 (= (+ ?x254 ?x263 ?x1181) 0)))
-(let (($x1170 (<= (+ (fun_app$a v_b_SP_G_1$ ?v0) (* (- 1) ?x254) (* (- 1) ?x263)) 0)))
-(let (($x1164 (<= (+ b_Infinity$ (* (- 1) ?x263)) 0)))
-(or $x1164 $x1170 $x1180)))))))) :pattern ( (pair$ v_b_v_G_1$ ?v0) ) :pattern ( (fun_app$a v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) ) :qid k!38))
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-(let ((?x171 (fun_app$a v_b_SP_G_1$ ?v0)))
-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(or $x175 (>= (+ ?x171 ?x1168) 0)))))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v0) ) :pattern ( (fun_app$a v_b_SP_G_1$ ?v0) ) :qid k!38))
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-(let ((?x1207 (+ b_Infinity$ ?x1168)))
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-(let (($x252 (fun_app$ v_b_Visited_G_1$ v_b_v_G_1$)))
-(let ((?x1770 (fun_app$a v_b_SP_G_1$ ?v0!12)))
-(let ((?x1771 (* (- 1) ?x1770)))
-(let ((?x1772 (+ b_Infinity$ ?x1771)))
-(let (($x1773 (<= ?x1772 0)))
-(let (($x1768 (fun_app$ v_b_Visited_G_1$ ?v0!12)))
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-(let ((?x1730 (* (- 1) ?x1729)))
-(let ((?x1721 (pair$ ?v1!10 ?v0!11)))
-(let ((?x1722 (b_G$ ?x1721)))
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-(let ((?x2201 (+ ?x1716 ?x1722 ?x1730)))
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-(let (($x1725 (<= (+ b_Infinity$ (* (- 1) ?x1722)) 0)))
-(let (($x1719 (<= (+ b_Infinity$ (* (- 1) ?x1716)) 0)))
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-(let (($x123 (= ?v0 b_Source$)))
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-(or $x175 $x997))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v0) ) :pattern ( (fun_app$a v_b_SP_G_1$ ?v0) ) :qid k!38))
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-(let (($x917 (<= (+ b_Infinity$ (* (- 1) ?x152)) 0)))
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-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v1)))
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-(let (($x123 (= ?v0 b_Source$)))
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-(let (($x1533 (= ?v0!5 b_Source$)))
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-(let ((?x152 (b_G$ (pair$ ?v1 ?v0))))
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-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x1257 (>= (+ ?x268 ?x1258) 0)))
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-(let ((?x152 (b_G$ (pair$ ?v1 ?v0))))
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-(let (($x1094 (<= (+ b_Infinity$ (* (- 1) ?x227)) 0)))
-(let (($x1095 (not $x1094)))
-(let (($x1129 (and $x1095 $x918)))
-(let (($x1132 (not $x1129)))
-(let (($x1138 (or $x1132 $x1135)))
-(let ((?x516 (+ ?x152 ?x227)))
-(let ((?x230 (fun_app$a v_b_SP_G_3$ ?1)))
-(let (($x540 (<= ?x230 ?x516)))
-(let (($x547 (or (not (and (< ?x227 b_Infinity$) (< ?x152 b_Infinity$))) $x540)))
-(let ((@x1131 (monotonicity (rewrite (= (< ?x227 b_Infinity$) $x1095)) @x920 (= (and (< ?x227 b_Infinity$) (< ?x152 b_Infinity$)) $x1129))))
-(let ((@x1134 (monotonicity @x1131 (= (not (and (< ?x227 b_Infinity$) (< ?x152 b_Infinity$))) $x1132))))
-(let ((@x1143 (quant-intro (monotonicity @x1134 (rewrite (= $x540 $x1135)) (= $x547 $x1138)) (= $x552 $x1141))))
-(let ((@x1149 (monotonicity (monotonicity @x1143 (= (not $x552) $x1144)) (= $x568 $x1147))))
-(let (($x1117 (exists ((?v1 B_Vertex$) )(! (let ((?x227 (fun_app$a v_b_SP_G_3$ ?v1)))
-(let ((?x152 (b_G$ (pair$ ?v1 ?0))))
-(and (not (>= (+ ?x227 (* (- 1) (fun_app$a v_b_SP_G_3$ ?0))) 0)) (= (+ ?x152 ?x227 (* (- 1) (fun_app$a v_b_SP_G_3$ ?0))) 0)))) :qid k!38))
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-(let (($x1098 (and $x128 $x1095)))
-(let (($x1101 (not $x1098)))
-(let (($x1120 (or $x1101 $x1117)))
-(let (($x525 (exists ((?v1 B_Vertex$) )(! (let ((?x227 (fun_app$a v_b_SP_G_3$ ?v1)))
-(let ((?x152 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x516 (+ ?x152 ?x227)))
-(let ((?x230 (fun_app$a v_b_SP_G_3$ ?0)))
-(let (($x519 (= ?x230 ?x516)))
-(let (($x231 (< ?x227 ?x230)))
-(and $x231 $x519))))))) :qid k!38))
-))
-(let (($x532 (or (not (and $x128 (< ?x227 b_Infinity$))) $x525)))
-(let (($x1114 (and (not (>= (+ ?x227 (* (- 1) ?x230)) 0)) (= (+ ?x152 ?x227 (* (- 1) ?x230)) 0))))
-(let (($x519 (= ?x230 ?x516)))
-(let (($x231 (< ?x227 ?x230)))
-(let (($x522 (and $x231 $x519)))
-(let ((@x1116 (monotonicity (rewrite (= $x231 (not (>= (+ ?x227 (* (- 1) ?x230)) 0)))) (rewrite (= $x519 (= (+ ?x152 ?x227 (* (- 1) ?x230)) 0))) (= $x522 $x1114))))
-(let ((@x1100 (monotonicity (rewrite (= (< ?x227 b_Infinity$) $x1095)) (= (and $x128 (< ?x227 b_Infinity$)) $x1098))))
-(let ((@x1122 (monotonicity (monotonicity @x1100 (= (not (and $x128 (< ?x227 b_Infinity$))) $x1101)) (quant-intro @x1116 (= $x525 $x1117)) (= $x532 $x1120))))
-(let ((@x1128 (monotonicity (quant-intro @x1122 (= $x537 $x1123)) (= (not $x537) $x1126))))
-(let ((@x1155 (monotonicity @x1128 (monotonicity @x1143 @x1149 (= $x573 $x1150)) (= $x580 $x1153))))
-(let ((@x1086 (rewrite (= (and $x1078 (and $x209 (and $x212 (and $x214 $x217)))) $x1084))))
-(let (($x488 (and $x209 (and $x212 (and $x214 $x217)))))
-(let (($x502 (and $x207 $x488)))
-(let ((@x1083 (monotonicity (monotonicity (quant-intro @x1074 (= $x206 $x1075)) (= $x207 $x1078)) (= $x502 (and $x1078 $x488)))))
-(let ((@x1091 (monotonicity (trans @x1083 @x1086 (= $x502 $x1084)) (= (not $x502) $x1089))))
-(let ((@x1161 (monotonicity @x1091 (monotonicity (quant-intro @x1122 (= $x537 $x1123)) @x1155 (= $x585 $x1156)) (= $x592 $x1159))))
-(let (($x1065 (= (and $x975 (and $x170 (and $x1046 (and $x1040 (and $x992 $x1032))))) $x1064)))
-(let (($x1062 (= $x477 (and $x975 (and $x170 (and $x1046 (and $x1040 (and $x992 $x1032))))))))
-(let (($x1026 (exists ((?v1 B_Vertex$) )(! (let ((?x171 (fun_app$a v_b_SP_G_1$ ?v1)))
-(let ((?x152 (b_G$ (pair$ ?v1 ?0))))
-(let (($x1007 (= (+ ?x152 ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ ?0))) 0)))
-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x1010 (>= (+ ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ ?0))) 0)))
-(let (($x1012 (not $x1010)))
-(and $x1012 $x175 $x1007))))))) :qid k!38))
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-(let (($x1001 (and $x128 $x998)))
-(let (($x1004 (not $x1001)))
-(let (($x1029 (or $x1004 $x1026)))
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-(let ((?x152 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x405 (+ ?x152 ?x171)))
-(let ((?x179 (fun_app$a v_b_SP_G_1$ ?0)))
-(let (($x423 (= ?x179 ?x405)))
-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x426 (and $x175 $x423)))
-(let (($x190 (< ?x171 ?x179)))
-(and $x190 $x426))))))))) :qid k!38))
-))
-(let (($x439 (or (not (and $x128 (< ?x171 b_Infinity$))) $x432)))
-(let (($x1007 (= (+ ?x152 ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ ?1))) 0)))
-(let (($x1010 (>= (+ ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ ?1))) 0)))
-(let (($x1012 (not $x1010)))
-(let (($x1021 (and $x1012 $x175 $x1007)))
-(let ((?x405 (+ ?x152 ?x171)))
-(let ((?x179 (fun_app$a v_b_SP_G_1$ ?1)))
-(let (($x423 (= ?x179 ?x405)))
-(let (($x426 (and $x175 $x423)))
-(let (($x190 (< ?x171 ?x179)))
-(let (($x429 (and $x190 $x426)))
-(let ((@x1020 (monotonicity (rewrite (= $x190 $x1012)) (monotonicity (rewrite (= $x423 $x1007)) (= $x426 (and $x175 $x1007))) (= $x429 (and $x1012 (and $x175 $x1007))))))
-(let ((@x1025 (trans @x1020 (rewrite (= (and $x1012 (and $x175 $x1007)) $x1021)) (= $x429 $x1021))))
-(let ((@x1003 (monotonicity (rewrite (= (< ?x171 b_Infinity$) $x998)) (= (and $x128 (< ?x171 b_Infinity$)) $x1001))))
-(let ((@x1031 (monotonicity (monotonicity @x1003 (= (not (and $x128 (< ?x171 b_Infinity$))) $x1004)) (quant-intro @x1025 (= $x432 $x1026)) (= $x439 $x1029))))
-(let (($x985 (>= (+ ?x152 ?x171 (* (- 1) ?x179)) 0)))
-(let (($x978 (and $x175 $x918)))
-(let (($x981 (not $x978)))
-(let (($x989 (or $x981 $x985)))
-(let (($x408 (<= ?x179 ?x405)))
-(let (($x415 (or (not (and $x175 (< ?x152 b_Infinity$))) $x408)))
-(let ((@x983 (monotonicity (monotonicity @x920 (= (and $x175 (< ?x152 b_Infinity$)) $x978)) (= (not (and $x175 (< ?x152 b_Infinity$))) $x981))))
-(let ((@x994 (quant-intro (monotonicity @x983 (rewrite (= $x408 $x985)) (= $x415 $x989)) (= $x420 $x992))))
-(let ((@x1051 (monotonicity @x994 (quant-intro @x1031 (= $x444 $x1032)) (= $x454 (and $x992 $x1032)))))
-(let (($x177 (fun_app$ v_b_Visited_G_1$ ?1)))
-(let (($x178 (and $x176 $x177)))
-(let (($x398 (not $x178)))
-(let (($x1037 (or $x398 $x1010)))
-(let (($x180 (<= ?x179 ?x171)))
-(let (($x399 (or $x398 $x180)))
-(let ((@x1042 (quant-intro (monotonicity (rewrite (= $x180 $x1010)) (= $x399 $x1037)) (= $x402 $x1040))))
-(let ((@x1048 (quant-intro (rewrite (= (<= 0 ?x171) (>= ?x171 0))) (= $x173 $x1046))))
-(let ((@x1057 (monotonicity @x1048 (monotonicity @x1042 @x1051 (= $x457 (and $x1040 (and $x992 $x1032)))) (= $x460 (and $x1046 (and $x1040 (and $x992 $x1032)))))))
-(let ((@x1060 (monotonicity @x1057 (= $x463 (and $x170 (and $x1046 (and $x1040 (and $x992 $x1032))))))))
-(let (($x969 (exists ((?v1 B_Vertex$) )(! (let ((?x152 (b_G$ (pair$ ?v1 ?0))))
-(let ((?x124 (v_b_SP_G_0$ ?v1)))
-(let (($x952 (= (+ ?x124 (* (- 1) (v_b_SP_G_0$ ?0)) ?x152) 0)))
-(let (($x133 (fun_app$ v_b_Visited_G_0$ ?v1)))
-(let (($x902 (>= (+ ?x124 (* (- 1) (v_b_SP_G_0$ ?0))) 0)))
-(let (($x955 (not $x902)))
-(and $x955 $x133 $x952))))))) :qid k!38))
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-(let (($x946 (and $x128 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
-(let (($x949 (not $x946)))
-(let (($x972 (or $x949 $x969)))
-(let (($x165 (exists ((?v1 B_Vertex$) )(! (let (($x133 (fun_app$ v_b_Visited_G_0$ ?v1)))
-(let (($x163 (and $x133 (= (v_b_SP_G_0$ ?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)) $x163))) :qid k!38))
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-(let (($x392 (or (not (and $x128 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x165)))
-(let (($x952 (= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x152) 0)))
-(let (($x133 (fun_app$ v_b_Visited_G_0$ ?0)))
-(let (($x902 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1))) 0)))
-(let (($x955 (not $x902)))
-(let (($x964 (and $x955 $x133 $x952)))
-(let (($x164 (and (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) (and $x133 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x152))))))
-(let (($x959 (= (and $x133 (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x152))) (and $x133 $x952))))
-(let ((@x954 (rewrite (= (= (v_b_SP_G_0$ ?1) (+ (v_b_SP_G_0$ ?0) ?x152)) $x952))))
-(let ((@x963 (monotonicity (rewrite (= (< (v_b_SP_G_0$ ?0) (v_b_SP_G_0$ ?1)) $x955)) (monotonicity @x954 $x959) (= $x164 (and $x955 (and $x133 $x952))))))
-(let ((@x968 (trans @x963 (rewrite (= (and $x955 (and $x133 $x952)) $x964)) (= $x164 $x964))))
-(let (($x944 (= (< (v_b_SP_G_0$ ?0) b_Infinity$) (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?0))) 0)))))
-(let ((@x948 (monotonicity (rewrite $x944) (= (and $x128 (< (v_b_SP_G_0$ ?0) b_Infinity$)) $x946))))
-(let ((@x951 (monotonicity @x948 (= (not (and $x128 (< (v_b_SP_G_0$ ?0) b_Infinity$))) $x949))))
-(let ((@x977 (quant-intro (monotonicity @x951 (quant-intro @x968 (= $x165 $x969)) (= $x392 $x972)) (= $x395 $x975))))
-(let ((@x1071 (monotonicity (trans (monotonicity @x977 @x1060 $x1062) (rewrite $x1065) (= $x477 $x1064)) (= (not $x477) $x1069))))
-(let ((@x1371 (monotonicity @x1071 (monotonicity @x1161 @x1365 (= $x810 $x1366)) (= $x817 $x1369))))
-(let (($x928 (>= (+ (v_b_SP_G_0$ ?0) (* (- 1) (v_b_SP_G_0$ ?1)) ?x152) 0)))
-(let (($x921 (and $x133 $x918)))
-(let (($x924 (not $x921)))
-(let (($x931 (or $x924 $x928)))
-(let ((?x147 (v_b_SP_G_0$ ?1)))
-(let (($x156 (<= ?x147 (+ (v_b_SP_G_0$ ?0) ?x152))))
-(let (($x385 (or (not (and $x133 (< ?x152 b_Infinity$))) $x156)))
-(let ((@x926 (monotonicity (monotonicity @x920 (= (and $x133 (< ?x152 b_Infinity$)) $x921)) (= (not (and $x133 (< ?x152 b_Infinity$))) $x924))))
-(let ((@x936 (quant-intro (monotonicity @x926 (rewrite (= $x156 $x928)) (= $x385 $x931)) (= $x388 $x934))))
-(let ((@x1377 (monotonicity (monotonicity @x936 (= (not $x388) $x937)) (monotonicity @x977 @x1371 (= $x822 $x1372)) (= $x829 $x1375))))
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-(let (($x146 (and $x134 (fun_app$ v_b_Visited_G_0$ ?1))))
-(let (($x377 (not $x146)))
-(let (($x906 (or $x377 $x902)))
-(let ((?x124 (v_b_SP_G_0$ ?0)))
-(let (($x148 (<= ?x147 ?x124)))
-(let (($x378 (or $x377 $x148)))
-(let ((@x911 (quant-intro (monotonicity (rewrite (= $x148 $x902)) (= $x378 $x906)) (= $x381 $x909))))
-(let ((@x1383 (monotonicity (monotonicity @x911 (= (not $x381) $x912)) (monotonicity @x936 @x1377 (= $x834 $x1378)) (= $x841 $x1381))))
-(let ((@x896 (quant-intro (rewrite (= (<= 0 ?x124) (>= ?x124 0))) (= $x144 $x894))))
-(let ((@x1389 (monotonicity (monotonicity @x896 (= (not $x144) $x897)) (monotonicity @x911 @x1383 (= $x846 $x1384)) (= $x853 $x1387))))
-(let ((@x1395 (monotonicity (monotonicity @x896 @x1389 (= $x858 $x1390)) (= $x865 $x1393))))
-(let ((@x890 (monotonicity (rewrite (= (and $x349 (and $x355 $x135)) $x885)) (= (not (and $x349 (and $x355 $x135))) (not $x885)))))
-(let ((@x1401 (monotonicity @x890 (monotonicity @x1395 (= $x870 $x1396)) (= $x877 (or (not $x885) $x1396)))))
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-(let (($x311 (and $x286 (= (v_b_SP_G_2$ ?0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
-(let ((?x298 (v_b_SP_G_2$ ?0)))
-(let ((?x268 (v_b_SP_G_2$ ?v1)))
-(let (($x309 (< ?x268 ?x298)))
-(and $x309 $x311)))))) :qid k!38))
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-(let (($x308 (and $x128 (< ?x268 b_Infinity$))))
-(let (($x314 (=> $x308 $x313)))
-(let ((@x686 (monotonicity (rewrite (= (+ ?x268 ?x152) ?x666)) (= (= ?x298 (+ ?x268 ?x152)) $x684))))
-(let ((@x692 (monotonicity (monotonicity @x686 (= (and $x286 (= ?x298 (+ ?x268 ?x152))) $x687)) (= (and $x309 (and $x286 (= ?x298 (+ ?x268 ?x152)))) $x690))))
-(let ((@x698 (monotonicity (quant-intro @x692 (= $x313 $x693)) (= $x314 (=> $x308 $x693)))))
-(let ((@x707 (quant-intro (trans @x698 (rewrite (= (=> $x308 $x693) $x700)) (= $x314 $x700)) (= $x315 $x705))))
-(let ((@x714 (trans (monotonicity @x707 (= $x316 (and $x705 false))) (rewrite (= (and $x705 false) false)) (= $x316 false))))
-(let ((@x721 (trans (monotonicity @x714 (= $x317 (=> false true))) (rewrite (= (=> false true) true)) (= $x317 true))))
-(let ((@x728 (trans (monotonicity @x707 @x721 (= $x318 (and $x705 true))) (rewrite (= (and $x705 true) $x705)) (= $x318 $x705))))
-(let (($x153 (< ?x152 b_Infinity$)))
-(let (($x302 (and $x286 $x153)))
-(let (($x305 (=> $x302 (<= ?x298 (+ ?x268 ?x152)))))
-(let ((@x671 (monotonicity (rewrite (= (+ ?x268 ?x152) ?x666)) (= (<= ?x298 (+ ?x268 ?x152)) $x669))))
-(let ((@x680 (trans (monotonicity @x671 (= $x305 (=> $x302 $x669))) (rewrite (= (=> $x302 $x669) $x676)) (= $x305 $x676))))
-(let ((@x731 (monotonicity (quant-intro @x680 (= $x306 $x681)) @x728 (= $x319 (=> $x681 $x705)))))
-(let ((@x740 (monotonicity (quant-intro @x680 (= $x306 $x681)) (trans @x731 (rewrite (= (=> $x681 $x705) $x733)) (= $x319 $x733)) (= (and $x306 $x319) $x738))))
-(let ((@x743 (monotonicity (quant-intro (rewrite (= (=> $x297 $x299) $x660)) (= $x301 $x663)) @x740 (= $x321 (=> $x663 $x738)))))
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-(let ((@x767 (monotonicity (monotonicity @x761 (= (and $x294 $x323) $x762)) (= $x325 (=> $x292 $x762)))))
-(let ((@x776 (monotonicity (trans @x767 (rewrite (= (=> $x292 $x762) $x769)) (= $x325 $x769)) (= (and $x292 $x325) $x774))))
-(let ((@x649 (quant-intro (rewrite (= (=> $x286 $x273) (or $x295 $x273))) (= $x288 $x647))))
-(let ((@x654 (monotonicity @x649 (rewrite (= (and true true) true)) (= $x290 (and $x647 true)))))
-(let ((@x779 (monotonicity (trans @x654 (rewrite (= (and $x647 true) $x647)) (= $x290 $x647)) @x776 (= $x327 (=> $x647 $x774)))))
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-(let ((@x797 (trans (monotonicity @x788 (= $x329 (=> $x285 $x786))) (rewrite (= (=> $x285 $x786) $x793)) (= $x329 $x793))))
-(let (($x628 (= (and $x253 (and $x255 (and $x258 (and $x261 (and $x271 $x275))))) $x627)))
-(let ((@x617 (monotonicity (quant-intro (rewrite (= (=> $x267 $x269) $x603)) (= $x271 $x606)) (quant-intro (rewrite (= (=> $x272 $x273) $x609)) (= $x275 $x612)) (= (and $x271 $x275) $x615))))
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-(let ((@x635 (monotonicity (monotonicity (monotonicity @x626 $x628) (= $x281 $x630)) (= $x282 (and true $x630)))))
-(let ((@x641 (monotonicity (trans @x635 (rewrite (= (and true $x630) $x630)) (= $x282 $x630)) (= $x283 (and true $x630)))))
-(let ((@x803 (monotonicity (trans @x641 (rewrite (= (and true $x630) $x630)) (= $x283 $x630)) (monotonicity @x797 (= (and $x285 $x329) $x798)) (= $x331 (=> $x630 $x798)))))
-(let ((@x559 (monotonicity (rewrite (= (=> $x243 true) true)) (= $x245 (and $x243 true)))))
-(let (($x228 (< ?x227 b_Infinity$)))
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-(let (($x240 (=> $x238 (<= ?x230 (+ ?x227 ?x152)))))
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-(let ((@x575 (monotonicity (quant-intro @x551 (= $x241 $x552)) (trans @x566 (rewrite (= (=> $x552 $x243) $x568)) (= $x246 $x568)) (= (and $x241 $x246) $x573))))
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-(let ((?x227 (fun_app$a v_b_SP_G_3$ ?v1)))
-(let ((?x232 (+ ?x227 ?x152)))
-(let ((?x230 (fun_app$a v_b_SP_G_3$ ?0)))
-(let (($x231 (< ?x227 ?x230)))
-(and $x231 (= ?x230 ?x232))))))) :qid k!38))
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-(let ((@x527 (quant-intro (monotonicity @x521 (= (and $x231 (= ?x230 (+ ?x227 ?x152))) $x522)) (= $x235 $x525))))
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-(let ((@x587 (monotonicity (quant-intro @x536 (= $x237 $x537)) (trans @x578 (rewrite (= (=> $x537 $x573) $x580)) (= $x248 $x580)) (= (and $x237 $x248) $x585))))
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-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(or $x175 $x997))) :qid k!38))
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-(let (($x2940 (or $x2707 $x2935)))
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-(let (($x2108 (<= (+ ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ (?v1!7 ?v0)))) 0)))
-(let (($x2546 (not (or $x2108 (not (fun_app$ v_b_Visited_G_1$ (?v1!7 ?v0))) (not $x2124)))))
-(let (($x997 (<= (+ b_Infinity$ (* (- 1) ?x171)) 0)))
-(let (($x123 (= ?v0 b_Source$)))
-(or $x123 $x997 $x2546)))))))) :qid k!38))
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-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x176 (not $x175)))
-(or $x176 $x917 $x985))))))) :qid k!38))
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-(let (($x1010 (>= (+ ?x171 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v0))) 0)))
-(let (($x175 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(or $x175 (not (fun_app$ v_b_Visited_G_1$ ?v0)) $x1010)))) :qid k!38))
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-(let (($x123 (= ?v0 b_Source$)))
-(or $x123 $x942 $x2473)))))))) :qid k!38))
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-(let ((?x124 (v_b_SP_G_0$ ?v1)))
-(let (($x133 (fun_app$ v_b_Visited_G_0$ ?v1)))
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-(or (>= (+ ?x124 ?x1536) 0) $x134 (not (= (+ ?x124 ?x1536 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))) :qid k!38))
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-(or $x134 $x917 $x928))))))) :qid k!38))
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-(let (($x3000 (or $x1472 $x2995)))
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-(let ((@x3731 (monotonicity (quant-intro (refl (= $x2832 $x2832)) (= $x2843 $x3724)) (= (not $x2843) $x3729))))
-(let ((@x3719 (quant-intro (refl (= (or $x295 $x917 $x1277) (or $x295 $x917 $x1277))) (= $x2828 $x3715))))
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-(let ((@x3711 (quant-intro (refl (= (or $x286 (not $x296) $x1257) (or $x286 (not $x296) $x1257))) (= $x2783 $x3707))))
-(let ((@x3746 (monotonicity (monotonicity @x3711 (= (not $x2783) $x3712)) @x3743 (= (or (not $x2783) (not $x2857)) $x3744))))
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-(let ((@x3702 (quant-intro (refl (= (>= ?x268 0) (>= ?x268 0))) (= $x1251 $x3698))))
-(let ((@x3758 (monotonicity (monotonicity @x3702 (= $x1254 $x3703)) @x3755 (= (or $x1254 (not $x2871)) $x3756))))
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-(let ((@x3773 (monotonicity (monotonicity @x3767 (= (or $x768 (not $x2884)) $x3768)) (= $x2892 $x3771))))
-(let ((@x3779 (monotonicity (monotonicity @x3773 (= $x2897 $x3774)) (= (not $x2897) $x3777))))
-(let ((@x3694 (quant-intro (refl (= (or $x295 $x273) (or $x295 $x273))) (= $x647 $x3690))))
-(let ((@x3782 (monotonicity (monotonicity @x3694 (= $x780 $x3695)) @x3779 (= (or $x780 (not $x2897)) $x3780))))
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-(let ((@x3688 (monotonicity (quant-intro (refl (= $x1238 $x1238)) (= $x1242 $x3681)) (= $x1245 $x3686))))
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-(let ((@x3803 (monotonicity (monotonicity @x3797 (= $x2923 $x3798)) (= (not $x2923) $x3801))))
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-(let ((@x3669 (quant-intro (refl (= (or $x1164 $x1170 $x1180) (or $x1164 $x1170 $x1180))) (= $x2731 $x3665))))
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-(let ((@x3621 (quant-intro (refl (= (or $x1094 $x917 $x1135) (or $x1094 $x917 $x1135))) (= $x2667 $x3617))))
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-(let ((@x3616 (monotonicity (quant-intro (refl (= $x2618 $x2618)) (= $x2623 $x3609)) (= (not $x2623) $x3614))))
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-(let (($x2575 (or (>= (+ ?x227 ?x1657) 0) (not $x2143))))
-(let ((@x3602 (monotonicity (quant-intro (refl (= $x2575 $x2575)) (= $x2586 $x3595)) (= (not $x2586) $x3600))))
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-(let ((@x3648 (monotonicity (monotonicity @x3608 @x3642 (= $x2694 $x3643)) (= (not $x2694) $x3646))))
-(let ((@x3589 (quant-intro (refl (= (or $x175 $x997) (or $x175 $x997))) (= $x2571 $x3585))))
-(let ((@x3651 (monotonicity (monotonicity @x3589 (= (not $x2571) $x3590)) @x3648 (= (or (not $x2571) $x2701 $x2702 $x2703 $x2704 (not $x2694)) $x3649))))
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-(let ((@x3583 (monotonicity (quant-intro (refl (= $x2552 $x2552)) (= $x2557 $x3576)) (= (not $x2557) $x3581))))
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-(let ((@x3535 (monotonicity (quant-intro (refl (= $x2435 $x2435)) (= $x2446 $x3528)) (= (not $x2446) $x3533))))
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-(let ((@x3523 (quant-intro (refl (= (or $x134 $x917 $x928) (or $x134 $x917 $x928))) (= $x2431 $x3519))))
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-(let ((@x3517 (monotonicity (quant-intro (refl (= $x2381 $x2381)) (= $x2386 $x3510)) (= (not $x2386) $x3515))))
-(let ((@x3845 (monotonicity (monotonicity @x3517 @x3839 (= (or (not $x2386) (not $x2973)) $x3840)) (= $x2982 $x3843))))
-(let ((@x3851 (monotonicity (monotonicity @x3845 (= $x2987 $x3846)) (= (not $x2987) $x3849))))
-(let ((@x3505 (quant-intro (refl (= (>= ?x124 0) (>= ?x124 0))) (= $x894 $x3501))))
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-(let ((@x3863 (monotonicity (monotonicity (monotonicity @x3854 (= $x2995 $x3855)) (= $x3000 $x3858)) (= (not $x3000) $x3861))))
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-(let (($x2237 (= (+ ?x268 ?x1907 (b_G$ (pair$ ?v1 ?v0!20))) 0)))
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-(let (($x2240 (and (not (>= (+ ?x268 ?x1907) 0)) $x286 $x2237)))
-(not $x2240))))))) :qid k!38))
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-(let (($x997 (<= (+ b_Infinity$ (* (- 1) ?x171)) 0)))
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-(let (($x123 (= ?v0 b_Source$)))
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-(let (($x949 (not $x946)))
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-(let (($x2310 (and $x2097 $x170 $x1046 $x1040 $x992 $x2135 $x2301)))
-(let (($x1562 (forall ((?v1 B_Vertex$) )(! (let ((?x1535 (v_b_SP_G_0$ ?v0!5)))
-(let ((?x1536 (* (- 1) ?x1535)))
-(let ((?x124 (v_b_SP_G_0$ ?v1)))
-(let (($x133 (fun_app$ v_b_Visited_G_0$ ?v1)))
-(let (($x1549 (and (not (>= (+ ?x124 ?x1536) 0)) $x133 (= (+ ?x124 ?x1536 (b_G$ (pair$ ?v1 ?v0!5))) 0))))
-(not $x1549)))))) :qid k!38))
-))
-(let (($x2057 (and $x1534 $x1539 $x1562)))
-(let (($x2315 (or $x2057 $x2310)))
-(let (($x2318 (and $x934 $x2315)))
-(let (($x1515 (not (and $x1507 (not $x1512)))))
-(let (($x2046 (or $x1515 $x2043)))
-(let (($x2049 (not $x2046)))
-(let (($x2321 (or $x2049 $x2318)))
-(let (($x2324 (and $x909 $x2321)))
-(let (($x1488 (not (and (not $x1484) $x1486))))
-(let (($x1494 (or $x1488 $x1493)))
-(let (($x1495 (not $x1494)))
-(let (($x2327 (or $x1495 $x2324)))
-(let (($x2330 (and $x894 $x2327)))
-(let (($x2333 (or $x1472 $x2330)))
-(let (($x2336 (and $x142 $x2333)))
-(let (($x2339 (or $x864 $x2336)))
-(let ((@x2937 (rewrite (= (and $x1769 $x1774 $x253 $x1209 $x1204 $x261 $x2731 $x2737 $x2923) $x2935))))
-(let (($x2237 (= (+ ?x268 ?x1907 (b_G$ (pair$ ?0 ?v0!20))) 0)))
-(let (($x2240 (and (not (>= (+ ?x268 ?x1907) 0)) $x286 $x2237)))
-(let (($x2243 (not $x2240)))
-(let ((@x2838 (monotonicity (rewrite (= $x2240 (not $x2832))) (= $x2243 (not (not $x2832))))))
-(let ((@x2845 (quant-intro (trans @x2838 (rewrite (= (not (not $x2832)) $x2832)) (= $x2243 $x2832)) (= $x2246 $x2843))))
-(let ((@x2815 (monotonicity (rewrite (= $x1271 (not (or $x295 $x917)))) (= $x1274 (not (not (or $x295 $x917)))))))
-(let ((@x2819 (trans @x2815 (rewrite (= (not (not (or $x295 $x917))) (or $x295 $x917))) (= $x1274 (or $x295 $x917)))))
-(let ((@x2827 (trans (monotonicity @x2819 (= $x1281 (or (or $x295 $x917) $x1277))) (rewrite (= (or (or $x295 $x917) $x1277) (or $x295 $x917 $x1277))) (= $x1281 (or $x295 $x917 $x1277)))))
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-(let ((@x2856 (trans @x2848 (rewrite (= (and $x2828 $x1905 $x1910 $x2843) $x2852)) (= $x2255 $x2852))))
-(let ((@x2793 (monotonicity (rewrite (= (and $x1878 (not $x1883)) (not (or $x2786 $x1883)))) (= $x1886 (not (not (or $x2786 $x1883)))))))
-(let ((@x2797 (trans @x2793 (rewrite (= (not (not (or $x2786 $x1883))) (or $x2786 $x1883))) (= $x1886 (or $x2786 $x1883)))))
-(let ((@x2805 (trans (monotonicity @x2797 (= $x1892 (or (or $x2786 $x1883) $x1891))) (rewrite (= (or (or $x2786 $x1883) $x1891) $x2801)) (= $x1892 $x2801))))
-(let ((@x2859 (monotonicity (monotonicity @x2805 (= $x1893 $x2806)) @x2856 (= $x2260 $x2857))))
-(let ((@x2780 (rewrite (= (or (or $x286 (not $x296)) $x1257) (or $x286 (not $x296) $x1257)))))
-(let ((@x2772 (rewrite (= (not (not (or $x286 (not $x296)))) (or $x286 (not $x296))))))
-(let ((@x2770 (monotonicity (rewrite (= $x297 (not (or $x286 (not $x296))))) (= $x659 (not (not (or $x286 (not $x296))))))))
-(let ((@x2777 (monotonicity (trans @x2770 @x2772 (= $x659 (or $x286 (not $x296)))) (= $x1262 (or (or $x286 (not $x296)) $x1257)))))
-(let ((@x2785 (quant-intro (trans @x2777 @x2780 (= $x1262 (or $x286 (not $x296) $x1257))) (= $x1265 $x2783))))
-(let ((@x2870 (trans (monotonicity @x2785 @x2859 (= $x2263 (and $x2783 $x2857))) (rewrite (= (and $x2783 $x2857) $x2866)) (= $x2263 $x2866))))
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-(let ((@x2751 (trans @x2747 (rewrite (= (not (not (or $x1855 $x2740))) (or $x1855 $x2740))) (= $x1859 (or $x1855 $x2740)))))
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-(let ((@x2883 (trans (monotonicity @x2873 (= $x2269 (and $x1251 $x2871))) (rewrite (= (and $x1251 $x2871) $x2879)) (= $x2269 $x2879))))
-(let ((@x2889 (monotonicity (monotonicity @x2883 (= $x2272 $x2884)) (= $x2275 (and $x292 $x2884)))))
-(let ((@x2899 (monotonicity (trans @x2889 (rewrite (= (and $x292 $x2884) $x2892)) (= $x2275 $x2892)) (= $x2278 $x2897))))
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-(let ((@x2736 (monotonicity (rewrite (= $x1174 (not (or $x1164 $x1170)))) (= $x1191 (or (not (or $x1164 $x1170)) $x273)))))
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-(let ((@x2722 (trans @x2718 (rewrite (= (not (not (or $x1164 $x1170))) (or $x1164 $x1170))) (= $x1177 (or $x1164 $x1170)))))
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-(let ((@x2928 (monotonicity (quant-intro @x2730 (= $x1188 $x2731)) (quant-intro @x2736 (= $x1194 $x2737)) @x2925 (= $x2296 (and $x1769 $x1774 $x253 $x1209 $x1204 $x261 $x2731 $x2737 $x2923)))))
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-(let ((@x2658 (trans @x2654 (rewrite (= (not (not (or $x1094 $x917))) (or $x1094 $x917))) (= $x1132 (or $x1094 $x917)))))
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-(let ((@x2632 (monotonicity (rewrite (= (and (not $x1719) (not $x1725)) (not (or $x1719 $x1725)))) (= $x1728 (not (not (or $x1719 $x1725)))))))
-(let ((@x2636 (trans @x2632 (rewrite (= (not (not (or $x1719 $x1725))) (or $x1719 $x1725))) (= $x1728 (or $x1719 $x1725)))))
-(let ((@x2644 (trans (monotonicity @x2636 (= $x2207 (or (or $x1719 $x1725) $x2204))) (rewrite (= (or (or $x1719 $x1725) $x2204) $x2640)) (= $x2207 $x2640))))
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-(let ((@x2605 (monotonicity (rewrite (= $x1098 (not (or $x123 $x1094)))) (= $x1101 (not (not (or $x123 $x1094)))))))
-(let ((@x2609 (trans @x2605 (rewrite (= (not (not (or $x123 $x1094))) (or $x123 $x1094))) (= $x1101 (or $x123 $x1094)))))
-(let ((@x2617 (monotonicity @x2609 (rewrite (= (and (not $x2171) $x2187) $x2612)) (= (or $x1101 (and (not $x2171) $x2187)) (or (or $x123 $x1094) $x2612)))))
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-(let ((@x2685 (monotonicity (quant-intro @x2622 (= $x2198 $x2623)) @x2682 (= $x2216 (and $x2623 $x2680)))))
-(let (($x2146 (and (not (>= (+ ?x227 ?x1657) 0)) $x2143)))
-(let (($x2149 (not $x2146)))
-(let ((@x2581 (monotonicity (rewrite (= $x2146 (not $x2575))) (= $x2149 (not (not $x2575))))))
-(let ((@x2588 (quant-intro (trans @x2581 (rewrite (= (not (not $x2575)) $x2575)) (= $x2149 $x2575)) (= $x2152 $x2586))))
-(let ((@x2598 (trans (monotonicity @x2588 (= $x2158 (and $x1655 $x1660 $x2586))) (rewrite (= (and $x1655 $x1660 $x2586) $x2594)) (= $x2158 $x2594))))
-(let ((@x2696 (monotonicity @x2598 (trans @x2685 (rewrite (= (and $x2623 $x2680) $x2689)) (= $x2216 $x2689)) (= $x2219 $x2694))))
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-(let ((@x2570 (trans @x2566 (rewrite (= (not (not (or $x175 $x997))) (or $x175 $x997))) (= (not $x1072) (or $x175 $x997)))))
-(let ((@x2699 (monotonicity (quant-intro @x2570 (= $x1636 $x2571)) @x2696 (= $x2225 (and $x2571 $x209 $x212 $x214 $x217 $x2694)))))
-(let ((@x2711 (trans @x2699 (rewrite (= (and $x2571 $x209 $x212 $x214 $x217 $x2694) $x2707)) (= $x2225 $x2707))))
-(let ((?x1608 (?v1!7 ?0)))
-(let (($x1613 (fun_app$ v_b_Visited_G_1$ ?x1608)))
-(let (($x2129 (and (not $x2108) $x1613 $x2124)))
-(let (($x2132 (or $x1004 $x2129)))
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-(let ((@x2542 (trans @x2538 (rewrite (= (not (not (or $x123 $x997))) (or $x123 $x997))) (= $x1004 (or $x123 $x997)))))
-(let ((@x2551 (monotonicity @x2542 (rewrite (= $x2129 $x2546)) (= $x2132 (or (or $x123 $x997) $x2546)))))
-(let ((@x2556 (trans @x2551 (rewrite (= (or (or $x123 $x997) $x2546) $x2552)) (= $x2132 $x2552))))
-(let ((@x2516 (monotonicity (rewrite (= $x978 (not (or $x176 $x917)))) (= $x981 (not (not (or $x176 $x917)))))))
-(let ((@x2520 (trans @x2516 (rewrite (= (not (not (or $x176 $x917))) (or $x176 $x917))) (= $x981 (or $x176 $x917)))))
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-(let ((@x2504 (rewrite (= (or (or $x175 (not $x177)) $x1010) (or $x175 (not $x177) $x1010)))))
-(let ((@x2496 (rewrite (= (not (not (or $x175 (not $x177)))) (or $x175 (not $x177))))))
-(let ((@x2494 (monotonicity (rewrite (= $x178 (not (or $x175 (not $x177))))) (= $x398 (not (not (or $x175 (not $x177))))))))
-(let ((@x2501 (monotonicity (trans @x2494 @x2496 (= $x398 (or $x175 (not $x177)))) (= $x1037 (or (or $x175 (not $x177)) $x1010)))))
-(let ((@x2509 (quant-intro (trans @x2501 @x2504 (= $x1037 (or $x175 (not $x177) $x1010))) (= $x1040 $x2507))))
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-(let (($x1578 (fun_app$ v_b_Visited_G_0$ ?x1573)))
-(let (($x2091 (and (not $x2070) $x1578 $x2086)))
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-(let ((@x2465 (monotonicity (rewrite (= $x946 (not (or $x123 $x942)))) (= $x949 (not (not (or $x123 $x942)))))))
-(let ((@x2469 (trans @x2465 (rewrite (= (not (not (or $x123 $x942))) (or $x123 $x942))) (= $x949 (or $x123 $x942)))))
-(let ((@x2478 (monotonicity @x2469 (rewrite (= $x2091 $x2473)) (= $x2094 (or (or $x123 $x942) $x2473)))))
-(let ((@x2483 (trans @x2478 (rewrite (= (or (or $x123 $x942) $x2473) $x2479)) (= $x2094 $x2479))))
-(let ((@x2945 (monotonicity (quant-intro @x2483 (= $x2097 $x2484)) @x2509 (quant-intro @x2528 (= $x992 $x2529)) (quant-intro @x2556 (= $x2135 $x2557)) (monotonicity @x2711 (trans @x2928 @x2937 (= $x2296 $x2935)) (= $x2301 $x2940)) (= $x2310 (and $x2484 $x170 $x1046 $x2507 $x2529 $x2557 $x2940)))))
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-(let (($x1549 (and (not (>= (+ ?x124 ?x1536) 0)) $x133 (= (+ ?x124 ?x1536 (b_G$ (pair$ ?0 ?v0!5))) 0))))
-(let (($x1559 (not $x1549)))
-(let ((@x2441 (monotonicity (rewrite (= $x1549 (not $x2435))) (= $x1559 (not (not $x2435))))))
-(let ((@x2448 (quant-intro (trans @x2441 (rewrite (= (not (not $x2435)) $x2435)) (= $x1559 $x2435)) (= $x1562 $x2446))))
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-(let ((@x2418 (monotonicity (rewrite (= $x921 (not (or $x134 $x917)))) (= $x924 (not (not (or $x134 $x917)))))))
-(let ((@x2422 (trans @x2418 (rewrite (= (not (not (or $x134 $x917))) (or $x134 $x917))) (= $x924 (or $x134 $x917)))))
-(let ((@x2430 (trans (monotonicity @x2422 (= $x931 (or (or $x134 $x917) $x928))) (rewrite (= (or (or $x134 $x917) $x928) (or $x134 $x917 $x928))) (= $x931 (or $x134 $x917 $x928)))))
-(let ((@x2964 (monotonicity (quant-intro @x2430 (= $x934 $x2431)) (monotonicity @x2458 @x2958 (= $x2315 $x2959)) (= $x2318 (and $x2431 $x2959)))))
-(let ((@x2396 (monotonicity (rewrite (= (and $x1507 (not $x1512)) (not (or $x2389 $x1512)))) (= $x1515 (not (not (or $x2389 $x1512)))))))
-(let ((@x2400 (trans @x2396 (rewrite (= (not (not (or $x2389 $x1512))) (or $x2389 $x1512))) (= $x1515 (or $x2389 $x1512)))))
-(let ((@x2408 (trans (monotonicity @x2400 (= $x2046 (or (or $x2389 $x1512) $x2043))) (rewrite (= (or (or $x2389 $x1512) $x2043) $x2404)) (= $x2046 $x2404))))
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-(let (($x2382 (= (or (or $x133 (not (fun_app$ v_b_Visited_G_0$ ?1))) $x902) $x2381)))
-(let (($x2379 (= $x906 (or (or $x133 (not (fun_app$ v_b_Visited_G_0$ ?1))) $x902))))
-(let (($x2367 (or $x133 (not (fun_app$ v_b_Visited_G_0$ ?1)))))
-(let ((@x2373 (monotonicity (rewrite (= $x146 (not $x2367))) (= $x377 (not (not $x2367))))))
-(let ((@x2380 (monotonicity (trans @x2373 (rewrite (= (not (not $x2367)) $x2367)) (= $x377 $x2367)) $x2379)))
-(let ((@x2388 (quant-intro (trans @x2380 (rewrite $x2382) (= $x906 $x2381)) (= $x909 $x2386))))
-(let ((@x2986 (trans (monotonicity @x2388 @x2975 (= $x2324 (and $x2386 $x2973))) (rewrite (= (and $x2386 $x2973) $x2982)) (= $x2324 $x2982))))
-(let ((@x2350 (monotonicity (rewrite (= (and (not $x1484) $x1486) (not (or $x1484 $x2343)))) (= $x1488 (not (not (or $x1484 $x2343)))))))
-(let ((@x2354 (trans @x2350 (rewrite (= (not (not (or $x1484 $x2343))) (or $x1484 $x2343))) (= $x1488 (or $x1484 $x2343)))))
-(let ((@x2362 (trans (monotonicity @x2354 (= $x1494 (or (or $x1484 $x2343) $x1493))) (rewrite (= (or (or $x1484 $x2343) $x1493) $x2358)) (= $x1494 $x2358))))
-(let ((@x2989 (monotonicity (monotonicity @x2362 (= $x1495 $x2363)) @x2986 (= $x2327 $x2987))))
-(let ((@x2999 (trans (monotonicity @x2989 (= $x2330 (and $x894 $x2987))) (rewrite (= (and $x894 $x2987) $x2995)) (= $x2330 $x2995))))
-(let ((@x3005 (monotonicity (monotonicity @x2999 (= $x2333 $x3000)) (= $x2336 (and $x142 $x3000)))))
-(let ((@x3015 (monotonicity (trans @x3005 (rewrite (= (and $x142 $x3000) $x3008)) (= $x2336 $x3008)) (= $x2339 $x3013))))
-(let (($x1933 (forall ((?v1 B_Vertex$) )(! (let ((?x1906 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1907 (* (- 1) ?x1906)))
-(let ((?x268 (v_b_SP_G_2$ ?v1)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x1920 (and (not (>= (+ ?x268 ?x1907) 0)) $x286 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x268 ?x1907) 0))))
-(not $x1920)))))) :qid k!38))
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-(let (($x1927 (not (not (and $x1905 $x1910)))))
-(let (($x1937 (and $x1927 $x1933)))
-(let (($x1942 (and $x1284 $x1937)))
-(let (($x1946 (or $x1893 $x1942)))
-(let (($x1950 (and $x1265 $x1946)))
-(let (($x1954 (or $x1866 $x1950)))
-(let (($x1958 (and $x1251 $x1954)))
-(let (($x1962 (or $x1843 $x1958)))
-(let (($x1837 (not $x768)))
-(let (($x1966 (and $x1837 $x1962)))
-(let (($x1970 (or $x768 $x1966)))
-(let (($x1974 (and $x647 $x1970)))
-(let (($x1978 (or $x1825 $x1974)))
-(let (($x1982 (and $x1242 $x1978)))
-(let (($x1986 (or $x1808 $x1982)))
-(let (($x1796 (and (and $x1769 $x1774) $x253 $x1209 $x1204 $x261 $x1188 $x1194)))
-(let (($x1990 (and $x1796 $x1986)))
-(let (($x1734 (not (or $x1728 (>= (+ ?x1722 ?x1716 ?x1730) 0)))))
-(let (($x1751 (or $x1734 $x1747)))
-(let (($x1708 (forall ((?v0 B_Vertex$) )(! (let ((?x227 (fun_app$a v_b_SP_G_3$ ?v0)))
-(let ((?x1092 (* (- 1) ?x227)))
-(let ((?x1694 (fun_app$a v_b_SP_G_3$ (?v1!9 ?v0))))
-(let ((?x1699 (b_G$ (pair$ (?v1!9 ?v0) ?v0))))
-(let (($x1701 (= (+ ?x1699 ?x1694 ?x1092) 0)))
-(let (($x1702 (and (not (>= (+ ?x1694 ?x1092) 0)) $x1701)))
-(let (($x1094 (<= (+ b_Infinity$ ?x1092) 0)))
-(let (($x1095 (not $x1094)))
-(let (($x123 (= ?v0 b_Source$)))
-(let (($x128 (not $x123)))
-(let (($x1098 (and $x128 $x1095)))
-(let (($x1101 (not $x1098)))
-(or $x1101 $x1702))))))))))))) :qid k!38))
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-(let ((?x1657 (* (- 1) ?x1656)))
-(let ((?x227 (fun_app$a v_b_SP_G_3$ ?v1)))
-(let (($x1670 (and (not (>= (+ ?x227 ?x1657) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x227 ?x1657) 0))))
-(not $x1670))))) :qid k!38))
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-(let (($x1686 (and $x1676 $x1682)))
-(let (($x1759 (or $x1686 $x1755)))
-(let (($x1647 (and $x1636 $x209 $x212 $x214 $x217)))
-(let (($x1763 (and $x1647 $x1759)))
-(let (($x1994 (or $x1763 $x1990)))
-(let (($x1624 (forall ((?v0 B_Vertex$) )(! (let ((?x171 (fun_app$a v_b_SP_G_1$ ?v0)))
-(let ((?x995 (* (- 1) ?x171)))
-(let ((?x1608 (?v1!7 ?v0)))
-(let ((?x1609 (fun_app$a v_b_SP_G_1$ ?x1608)))
-(let ((?x1615 (b_G$ (pair$ ?x1608 ?v0))))
-(let (($x1617 (= (+ ?x1615 ?x1609 ?x995) 0)))
-(let (($x1613 (fun_app$ v_b_Visited_G_1$ ?x1608)))
-(let (($x1618 (and (not (>= (+ ?x1609 ?x995) 0)) $x1613 $x1617)))
-(let (($x997 (<= (+ b_Infinity$ ?x995) 0)))
-(let (($x998 (not $x997)))
-(let (($x123 (= ?v0 b_Source$)))
-(let (($x128 (not $x123)))
-(let (($x1001 (and $x128 $x998)))
-(let (($x1004 (not $x1001)))
-(or $x1004 $x1618))))))))))))))) :qid k!38))
-))
-(let (($x1589 (forall ((?v0 B_Vertex$) )(! (let ((?x1580 (b_G$ (pair$ (?v1!6 ?v0) ?v0))))
-(let ((?x124 (v_b_SP_G_0$ ?v0)))
-(let ((?x940 (* (- 1) ?x124)))
-(let ((?x1573 (?v1!6 ?v0)))
-(let ((?x1574 (v_b_SP_G_0$ ?x1573)))
-(let (($x1582 (= (+ ?x1574 ?x940 ?x1580) 0)))
-(let (($x1578 (fun_app$ v_b_Visited_G_0$ ?x1573)))
-(let (($x1583 (and (not (>= (+ ?x1574 ?x940) 0)) $x1578 $x1582)))
-(let (($x123 (= ?v0 b_Source$)))
-(let (($x128 (not $x123)))
-(let (($x946 (and $x128 (not (<= (+ b_Infinity$ ?x940) 0)))))
-(let (($x949 (not $x946)))
-(or $x949 $x1583))))))))))))) :qid k!38))
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-(let (($x1627 (and $x1589 $x170 $x1046 $x1040 $x992 $x1624)))
-(let (($x1998 (and $x1627 $x1994)))
-(let (($x1556 (not (not (and $x1534 $x1539)))))
-(let (($x1566 (and $x1556 $x1562)))
-(let (($x2002 (or $x1566 $x1998)))
-(let (($x2006 (and $x934 $x2002)))
-(let (($x1522 (not (or $x1515 (>= (+ ?x1516 ?x1518 ?x1509) 0)))))
-(let (($x2010 (or $x1522 $x2006)))
-(let (($x2014 (and $x909 $x2010)))
-(let (($x2018 (or $x1495 $x2014)))
-(let (($x2022 (and $x894 $x2018)))
-(let (($x2026 (or $x1472 $x2022)))
-(let (($x1466 (not $x864)))
-(let (($x2030 (and $x1466 $x2026)))
-(let (($x2034 (or $x864 $x2030)))
-(let (($x1920 (and (not (>= (+ ?x268 ?x1907) 0)) $x286 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x268 ?x1907) 0))))
-(let (($x1930 (not $x1920)))
-(let (($x2235 (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x268 ?x1907) (+ ?x268 ?x1907 (b_G$ (pair$ ?0 ?v0!20))))))
-(let ((@x2239 (monotonicity (rewrite $x2235) (= (= (+ (b_G$ (pair$ ?0 ?v0!20)) ?x268 ?x1907) 0) $x2237))))
-(let ((@x2248 (quant-intro (monotonicity (monotonicity @x2239 (= $x1920 $x2240)) (= $x1930 $x2243)) (= $x1933 $x2246))))
-(let ((@x2251 (monotonicity (rewrite (= $x1927 (and $x1905 $x1910))) @x2248 (= $x1937 (and (and $x1905 $x1910) $x2246)))))
-(let ((@x2259 (trans (monotonicity @x2251 (= $x1942 (and $x1284 (and (and $x1905 $x1910) $x2246)))) (rewrite (= (and $x1284 (and (and $x1905 $x1910) $x2246)) $x2255)) (= $x1942 $x2255))))
-(let ((@x2268 (monotonicity (monotonicity (monotonicity @x2259 (= $x1946 $x2260)) (= $x1950 $x2263)) (= $x1954 $x2266))))
-(let ((@x2277 (monotonicity (rewrite (= $x1837 $x292)) (monotonicity (monotonicity @x2268 (= $x1958 $x2269)) (= $x1962 $x2272)) (= $x1966 $x2275))))
-(let ((@x2286 (monotonicity (monotonicity (monotonicity @x2277 (= $x1970 $x2278)) (= $x1974 $x2281)) (= $x1978 $x2284))))
-(let ((@x2295 (monotonicity (monotonicity (monotonicity @x2286 (= $x1982 $x2287)) (= $x1986 $x2290)) (= $x1990 (and $x1796 $x2290)))))
-(let ((@x2206 (monotonicity (rewrite (= (+ ?x1722 ?x1716 ?x1730) ?x2201)) (= (>= (+ ?x1722 ?x1716 ?x1730) 0) $x2204))))
-(let ((@x2209 (monotonicity @x2206 (= (or $x1728 (>= (+ ?x1722 ?x1716 ?x1730) 0)) $x2207))))
-(let (($x2192 (and (not $x2171) $x2187)))
-(let (($x2195 (or $x1101 $x2192)))
-(let ((?x1092 (* (- 1) ?x227)))
-(let ((?x1694 (fun_app$a v_b_SP_G_3$ (?v1!9 ?0))))
-(let ((?x1699 (b_G$ (pair$ (?v1!9 ?0) ?0))))
-(let (($x1701 (= (+ ?x1699 ?x1694 ?x1092) 0)))
-(let (($x1702 (and (not (>= (+ ?x1694 ?x1092) 0)) $x1701)))
-(let (($x1705 (or $x1101 $x1702)))
-(let ((@x2184 (monotonicity (rewrite (= (+ ?x1699 ?x1694 ?x1092) (+ ?x1092 ?x1694 ?x1699))) (= $x1701 (= (+ ?x1092 ?x1694 ?x1699) 0)))))
-(let ((@x2191 (trans @x2184 (rewrite (= (= (+ ?x1092 ?x1694 ?x1699) 0) $x2187)) (= $x1701 $x2187))))
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-(let ((@x2194 (monotonicity (monotonicity @x2175 (= (not (>= (+ ?x1694 ?x1092) 0)) (not $x2171))) @x2191 (= $x1702 $x2192))))
-(let ((@x2218 (monotonicity (quant-intro (monotonicity @x2194 (= $x1705 $x2195)) (= $x1708 $x2198)) (monotonicity (monotonicity @x2209 (= $x1734 $x2210)) (= $x1751 $x2213)) (= $x1755 $x2216))))
-(let (($x1670 (and (not (>= (+ ?x227 ?x1657) 0)) (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x227 ?x1657) 0))))
-(let (($x1679 (not $x1670)))
-(let (($x2141 (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x227 ?x1657) (+ ?x227 ?x1657 (b_G$ (pair$ ?0 ?v0!8))))))
-(let ((@x2145 (monotonicity (rewrite $x2141) (= (= (+ (b_G$ (pair$ ?0 ?v0!8)) ?x227 ?x1657) 0) $x2143))))
-(let ((@x2154 (quant-intro (monotonicity (monotonicity @x2145 (= $x1670 $x2146)) (= $x1679 $x2149)) (= $x1682 $x2152))))
-(let ((@x2157 (monotonicity (rewrite (= $x1676 (and $x1655 $x1660))) @x2154 (= $x1686 (and (and $x1655 $x1660) $x2152)))))
-(let ((@x2162 (trans @x2157 (rewrite (= (and (and $x1655 $x1660) $x2152) $x2158)) (= $x1686 $x2158))))
-(let ((@x2224 (monotonicity (monotonicity @x2162 @x2218 (= $x1759 $x2219)) (= $x1763 (and $x1647 $x2219)))))
-(let ((@x2303 (monotonicity (trans @x2224 (rewrite (= (and $x1647 $x2219) $x2225)) (= $x1763 $x2225)) (trans @x2295 (rewrite (= (and $x1796 $x2290) $x2296)) (= $x1990 $x2296)) (= $x1994 $x2301))))
-(let ((?x995 (* (- 1) ?x171)))
-(let ((?x1609 (fun_app$a v_b_SP_G_1$ ?x1608)))
-(let ((?x1615 (b_G$ (pair$ ?x1608 ?0))))
-(let (($x1617 (= (+ ?x1615 ?x1609 ?x995) 0)))
-(let (($x1618 (and (not (>= (+ ?x1609 ?x995) 0)) $x1613 $x1617)))
-(let (($x1621 (or $x1004 $x1618)))
-(let ((@x2121 (monotonicity (rewrite (= (+ ?x1615 ?x1609 ?x995) (+ ?x995 ?x1609 ?x1615))) (= $x1617 (= (+ ?x995 ?x1609 ?x1615) 0)))))
-(let ((@x2128 (trans @x2121 (rewrite (= (= (+ ?x995 ?x1609 ?x1615) 0) $x2124)) (= $x1617 $x2124))))
-(let ((@x2105 (monotonicity (rewrite (= (+ ?x1609 ?x995) (+ ?x995 ?x1609))) (= (>= (+ ?x1609 ?x995) 0) (>= (+ ?x995 ?x1609) 0)))))
-(let ((@x2112 (trans @x2105 (rewrite (= (>= (+ ?x995 ?x1609) 0) $x2108)) (= (>= (+ ?x1609 ?x995) 0) $x2108))))
-(let ((@x2131 (monotonicity (monotonicity @x2112 (= (not (>= (+ ?x1609 ?x995) 0)) (not $x2108))) @x2128 (= $x1618 $x2129))))
-(let (($x1582 (= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124) (b_G$ (pair$ ?x1573 ?0))) 0)))
-(let (($x1583 (and (not (>= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124)) 0)) $x1578 $x1582)))
-(let (($x1586 (or $x949 $x1583)))
-(let (($x2081 (= (+ (* (- 1) ?x124) (v_b_SP_G_0$ ?x1573) (b_G$ (pair$ ?x1573 ?0))) 0)))
-(let (($x2079 (= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124) (b_G$ (pair$ ?x1573 ?0))) (+ (* (- 1) ?x124) (v_b_SP_G_0$ ?x1573) (b_G$ (pair$ ?x1573 ?0))))))
-(let ((@x2090 (trans (monotonicity (rewrite $x2079) (= $x1582 $x2081)) (rewrite (= $x2081 $x2086)) (= $x1582 $x2086))))
-(let (($x2076 (= (not (>= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124)) 0)) (not $x2070))))
-(let (($x1576 (>= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124)) 0)))
-(let (($x2063 (= (+ (v_b_SP_G_0$ ?x1573) (* (- 1) ?x124)) (+ (* (- 1) ?x124) (v_b_SP_G_0$ ?x1573)))))
-(let ((@x2067 (monotonicity (rewrite $x2063) (= $x1576 (>= (+ (* (- 1) ?x124) (v_b_SP_G_0$ ?x1573)) 0)))))
-(let ((@x2074 (trans @x2067 (rewrite (= (>= (+ (* (- 1) ?x124) (v_b_SP_G_0$ ?x1573)) 0) $x2070)) (= $x1576 $x2070))))
-(let ((@x2096 (monotonicity (monotonicity (monotonicity @x2074 $x2076) @x2090 (= $x1583 $x2091)) (= $x1586 $x2094))))
-(let ((@x2306 (monotonicity (quant-intro @x2096 (= $x1589 $x2097)) (quant-intro (monotonicity @x2131 (= $x1621 $x2132)) (= $x1624 $x2135)) (= $x1627 (and $x2097 $x170 $x1046 $x1040 $x992 $x2135)))))
-(let ((@x2309 (monotonicity @x2306 @x2303 (= $x1998 (and (and $x2097 $x170 $x1046 $x1040 $x992 $x2135) $x2301)))))
-(let ((@x2314 (trans @x2309 (rewrite (= (and (and $x2097 $x170 $x1046 $x1040 $x992 $x2135) $x2301) $x2310)) (= $x1998 $x2310))))
-(let ((@x2056 (monotonicity (rewrite (= $x1556 (and $x1534 $x1539))) (= $x1566 (and (and $x1534 $x1539) $x1562)))))
-(let ((@x2061 (trans @x2056 (rewrite (= (and (and $x1534 $x1539) $x1562) $x2057)) (= $x1566 $x2057))))
-(let ((@x2320 (monotonicity (monotonicity @x2061 @x2314 (= $x2002 $x2315)) (= $x2006 $x2318))))
-(let ((@x2045 (monotonicity (rewrite (= (+ ?x1516 ?x1518 ?x1509) ?x2040)) (= (>= (+ ?x1516 ?x1518 ?x1509) 0) $x2043))))
-(let ((@x2048 (monotonicity @x2045 (= (or $x1515 (>= (+ ?x1516 ?x1518 ?x1509) 0)) $x2046))))
-(let ((@x2323 (monotonicity (monotonicity @x2048 (= $x1522 $x2049)) @x2320 (= $x2010 $x2321))))
-(let ((@x2332 (monotonicity (monotonicity (monotonicity @x2323 (= $x2014 $x2324)) (= $x2018 $x2327)) (= $x2022 $x2330))))
-(let ((@x2338 (monotonicity (rewrite (= $x1466 $x142)) (monotonicity @x2332 (= $x2026 $x2333)) (= $x2030 $x2336))))
-(let (($x1921 (exists ((?v1 B_Vertex$) )(! (let ((?x1906 (v_b_SP_G_2$ ?v0!20)))
-(let ((?x1907 (* (- 1) ?x1906)))
-(let ((?x268 (v_b_SP_G_2$ ?v1)))
-(let (($x286 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(and (not (>= (+ ?x268 ?x1907) 0)) $x286 (= (+ (b_G$ (pair$ ?v1 ?v0!20)) ?x268 ?x1907) 0)))))) :qid k!38))
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-(let ((@x1939 (nnf-neg (refl (~ $x1927 $x1927)) (nnf-neg (refl (~ $x1930 $x1930)) (~ (not $x1921) $x1933)) (~ (not (or (not (and $x1905 $x1910)) $x1921)) $x1937))))
-(let ((@x1941 (trans (sk (~ (not $x1324) (not (or (not (and $x1905 $x1910)) $x1921)))) @x1939 (~ (not $x1324) $x1937))))
-(let ((@x1902 (nnf-neg (nnf-pos (refl (~ $x1281 $x1281)) (~ $x1284 $x1284)) (~ (not $x1287) $x1284))))
-(let ((@x1949 (nnf-neg (sk (~ $x1287 $x1893)) (nnf-neg @x1902 @x1941 (~ (not $x1327) $x1942)) (~ (not $x1330) $x1946))))
-(let ((@x1875 (nnf-neg (nnf-pos (refl (~ $x1262 $x1262)) (~ $x1265 $x1265)) (~ (not $x1268) $x1265))))
-(let ((@x1957 (nnf-neg (sk (~ $x1268 $x1866)) (nnf-neg @x1875 @x1949 (~ (not $x1333) $x1950)) (~ (not $x1336) $x1954))))
-(let ((@x1852 (nnf-neg (nnf-pos (refl (~ (>= ?x268 0) (>= ?x268 0))) (~ $x1251 $x1251)) (~ (not $x1254) $x1251))))
-(let ((@x1965 (nnf-neg (sk (~ $x1254 $x1843)) (nnf-neg @x1852 @x1957 (~ (not $x1339) $x1958)) (~ (not $x1342) $x1962))))
-(let ((@x1973 (nnf-neg (refl (~ $x768 $x768)) (nnf-neg (refl (~ $x1837 $x1837)) @x1965 (~ (not $x1345) $x1966)) (~ (not $x1348) $x1970))))
-(let ((@x1834 (nnf-neg (nnf-pos (refl (~ (or $x295 $x273) (or $x295 $x273))) (~ $x647 $x647)) (~ (not $x780) $x647))))
-(let ((@x1981 (nnf-neg (sk (~ $x780 $x1825)) (nnf-neg @x1834 @x1973 (~ (not $x1351) $x1974)) (~ (not $x1354) $x1978))))
-(let ((@x1817 (nnf-neg (nnf-pos (refl (~ $x1238 $x1238)) (~ $x1242 $x1242)) (~ (not $x1245) $x1242))))
-(let ((@x1989 (nnf-neg (sk (~ $x1245 $x1808)) (nnf-neg @x1817 @x1981 (~ (not $x1357) $x1982)) (~ (not $x1360) $x1986))))
-(let ((@x1798 (monotonicity (sk (~ $x1075 (and $x1769 $x1774))) (refl (~ $x253 $x253)) (refl (~ $x1209 $x1209)) (nnf-pos (refl (~ $x1201 $x1201)) (~ $x1204 $x1204)) (refl (~ $x261 $x261)) (nnf-pos (refl (~ $x1185 $x1185)) (~ $x1188 $x1188)) (nnf-pos (refl (~ $x1191 $x1191)) (~ $x1194 $x1194)) (~ $x1230 $x1796))))
-(let ((@x1993 (nnf-neg (nnf-neg @x1798 (~ (not $x1235) $x1796)) @x1989 (~ (not $x1363) $x1990))))
-(let ((@x1743 (nnf-neg (nnf-pos (refl (~ $x1138 $x1138)) (~ $x1141 $x1141)) (~ (not $x1144) $x1141))))
-(let ((@x1754 (nnf-neg (sk (~ $x1144 $x1734)) (nnf-neg @x1743 (refl (~ $x1744 $x1744)) (~ (not $x1147) $x1747)) (~ (not $x1150) $x1751))))
-(let ((@x1710 (nnf-pos (monotonicity (refl (~ $x1101 $x1101)) (sk (~ $x1117 $x1702)) (~ $x1120 $x1705)) (~ $x1123 $x1708))))
-(let ((@x1758 (nnf-neg (nnf-neg @x1710 (~ (not $x1126) $x1708)) @x1754 (~ (not $x1153) $x1755))))
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-(let ((?x1657 (* (- 1) ?x1656)))
-(let ((?x227 (fun_app$a v_b_SP_G_3$ ?v1)))
-(and (not (>= (+ ?x227 ?x1657) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x227 ?x1657) 0))))) :qid k!38))
-))
-(let ((@x1688 (nnf-neg (refl (~ $x1676 $x1676)) (nnf-neg (refl (~ $x1679 $x1679)) (~ (not $x1671) $x1682)) (~ (not (or (not (and $x1655 $x1660)) $x1671)) $x1686))))
-(let ((@x1690 (trans (sk (~ $x1126 (not (or (not (and $x1655 $x1660)) $x1671)))) @x1688 (~ $x1126 $x1686))))
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-(let ((@x1766 (nnf-neg (nnf-neg @x1649 (~ (not $x1089) $x1647)) (nnf-neg @x1690 @x1758 (~ (not $x1156) $x1759)) (~ (not $x1159) $x1763))))
-(let ((@x1626 (nnf-pos (monotonicity (refl (~ $x1004 $x1004)) (sk (~ $x1026 $x1618)) (~ $x1029 $x1621)) (~ $x1032 $x1624))))
-(let ((@x1591 (nnf-pos (monotonicity (refl (~ $x949 $x949)) (sk (~ $x969 $x1583)) (~ $x972 $x1586)) (~ $x975 $x1589))))
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-(let ((@x2001 (nnf-neg (nnf-neg @x1629 (~ (not $x1069) $x1627)) (nnf-neg @x1766 @x1993 (~ (not $x1366) $x1994)) (~ (not $x1369) $x1998))))
-(let (($x1550 (exists ((?v1 B_Vertex$) )(! (let ((?x1535 (v_b_SP_G_0$ ?v0!5)))
-(let ((?x1536 (* (- 1) ?x1535)))
-(let ((?x124 (v_b_SP_G_0$ ?v1)))
-(let (($x133 (fun_app$ v_b_Visited_G_0$ ?v1)))
-(and (not (>= (+ ?x124 ?x1536) 0)) $x133 (= (+ ?x124 ?x1536 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))) :qid k!38))
-))
-(let ((@x1568 (nnf-neg (refl (~ $x1556 $x1556)) (nnf-neg (refl (~ $x1559 $x1559)) (~ (not $x1550) $x1562)) (~ (not (or (not (and $x1534 $x1539)) $x1550)) $x1566))))
-(let ((@x1570 (trans (sk (~ (not $x975) (not (or (not (and $x1534 $x1539)) $x1550)))) @x1568 (~ (not $x975) $x1566))))
-(let ((@x1531 (nnf-neg (nnf-pos (refl (~ $x931 $x931)) (~ $x934 $x934)) (~ (not $x937) $x934))))
-(let ((@x2009 (nnf-neg @x1531 (nnf-neg @x1570 @x2001 (~ (not $x1372) $x2002)) (~ (not $x1375) $x2006))))
-(let ((@x1504 (nnf-neg (nnf-pos (refl (~ $x906 $x906)) (~ $x909 $x909)) (~ (not $x912) $x909))))
-(let ((@x2017 (nnf-neg @x1504 (nnf-neg (sk (~ $x937 $x1522)) @x2009 (~ (not $x1378) $x2010)) (~ (not $x1381) $x2014))))
-(let ((@x1481 (nnf-neg (nnf-pos (refl (~ (>= ?x124 0) (>= ?x124 0))) (~ $x894 $x894)) (~ (not $x897) $x894))))
-(let ((@x2025 (nnf-neg @x1481 (nnf-neg (sk (~ $x912 $x1495)) @x2017 (~ (not $x1384) $x2018)) (~ (not $x1387) $x2022))))
-(let ((@x2033 (nnf-neg (refl (~ $x1466 $x1466)) (nnf-neg (sk (~ $x897 $x1472)) @x2025 (~ (not $x1390) $x2026)) (~ (not $x1393) $x2030))))
-(let ((@x2037 (mp~ (not-or-elim (mp (asserted $x344) @x1406 $x1402) (not $x1396)) (nnf-neg (refl (~ $x864 $x864)) @x2033 (~ (not $x1396) $x2034)) $x2034)))
-(let ((@x3873 (mp (mp (mp @x2037 (monotonicity @x2338 (= $x2034 $x2339)) $x2339) @x3015 $x3013) (monotonicity @x3869 (= $x3013 $x3870)) $x3870)))
-(let ((@x4276 (unit-resolution @x3873 (lemma (unit-resolution @x5800 @x3487 (hypothesis $x864) false) $x142) $x3867)))
-(let ((@x4278 (unit-resolution (def-axiom (or $x3861 $x1472 $x3855)) (unit-resolution (def-axiom (or $x3864 $x3858)) @x4276 $x3858) (lemma @x5085 $x1471) $x3855)))
-(let ((@x3051 (unit-resolution ((_ quant-inst ?v0!2) (or (not $x3495) $x2343)) @x3500 (hypothesis $x1486) false)))
-(let ((@x4352 (unit-resolution (def-axiom (or $x3849 $x2363 $x3843)) (unit-resolution (def-axiom (or $x2358 $x1486)) (lemma @x3051 $x2343) $x2358) (unit-resolution (def-axiom (or $x3852 $x3846)) @x4278 $x3846) $x3843)))
-(let ((@x4355 (unit-resolution (def-axiom (or $x3837 $x2409 $x3831)) (unit-resolution (def-axiom (or $x3840 $x3834)) @x4352 $x3834) (unit-resolution (def-axiom (or $x2404 $x1507)) (lemma @x4007 $x2389) $x2404) $x3831)))
-(let ((@x4357 (unit-resolution (def-axiom (or $x3825 $x3539 $x3819)) (unit-resolution (def-axiom (or $x3828 $x3822)) @x4355 $x3822) (lemma @x3189 $x3536) $x3819)))
-(let ((@x4135 (unit-resolution (def-axiom (or $x3816 $x170)) @x4357 $x170)))
-(let ((@x4159 (hypothesis $x3652)))
-(let ((@x4139 (unit-resolution (def-axiom (or $x3649 $x214)) @x4159 $x214)))
-(let ((@x4149 (unit-resolution (def-axiom (or $x3625 $x1744)) (trans (monotonicity @x4139 (= ?x242 ?x169)) @x4135 $x243) $x3625)))
-(let (($x1720 (not $x1719)))
-(let ((@x3125 (hypothesis $x2645)))
-(let (($x4264 (>= (+ ?x1716 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v1!10))) 0)))
-(let ((@x4002 (symm (hypothesis $x214) (= v_b_SP_G_1$ v_b_SP_G_3$))))
-(let ((@x5768 (symm (monotonicity @x4002 (= (fun_app$a v_b_SP_G_1$ ?v1!10) ?x1716)) (= ?x1716 (fun_app$a v_b_SP_G_1$ ?v1!10)))))
-(let ((@x5656 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1716 (fun_app$a v_b_SP_G_1$ ?v1!10))) $x4264)) @x5768 $x4264)))
-(let (($x5398 (<= (+ b_Infinity$ (* (- 1) (fun_app$a v_b_SP_G_1$ ?v1!10))) 0)))
-(let (($x5689 (fun_app$ v_b_Visited_G_1$ ?v1!10)))
-(let (($x6142 (not $x5689)))
-(let ((?x5569 (fun_app$a v_b_SP_G_1$ ?v1!10)))
-(let ((?x5512 (fun_app$a v_b_SP_G_1$ ?v0!11)))
-(let ((?x5709 (* (- 1) ?x5512)))
-(let ((?x4184 (+ ?x1722 ?x5709 ?x5569)))
-(let (($x4211 (>= ?x4184 0)))
-(let ((?x4266 (+ ?x1729 ?x5709)))
-(let (($x4267 (<= ?x4266 0)))
-(let ((@x4273 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1729 ?x5512)) $x4267)) (symm (monotonicity @x4002 (= ?x5512 ?x1729)) (= ?x1729 ?x5512)) $x4267)))
-(let ((@x4363 ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x4267) (hypothesis $x4264) (hypothesis $x4211) (hypothesis (not $x2204)) false)))
-(let ((@x4274 (unit-resolution (lemma @x4363 (or (not $x4211) (not $x4267) (not $x4264) $x2204)) @x4273 @x5656 (unit-resolution (def-axiom (or $x2640 (not $x2204))) @x3125 (not $x2204)) (not $x4211))))
-(let (($x4220 (or $x3573 $x6142 $x1725 $x4211)))
-(let (($x5674 (or $x6142 $x1725 (>= (+ ?x1722 ?x5569 ?x5709) 0))))
-(let (($x4221 (or $x3573 $x5674)))
-(let ((@x4210 (monotonicity (rewrite (= (+ ?x1722 ?x5569 ?x5709) ?x4184)) (= (>= (+ ?x1722 ?x5569 ?x5709) 0) $x4211))))
-(let ((@x4224 (monotonicity (monotonicity @x4210 (= $x5674 (or $x6142 $x1725 $x4211))) (= $x4221 (or $x3573 (or $x6142 $x1725 $x4211))))))
-(let ((@x4227 (trans @x4224 (rewrite (= (or $x3573 (or $x6142 $x1725 $x4211)) $x4220)) (= $x4221 $x4220))))
-(let ((@x4360 (unit-resolution (mp ((_ quant-inst ?v0!11 ?v1!10) $x4221) @x4227 $x4220) (unit-resolution (def-axiom (or $x3816 $x3568)) @x4357 $x3568) (unit-resolution (def-axiom (or $x2640 (not $x1725))) @x3125 (not $x1725)) (or $x6142 $x4211))))
-(let (($x5857 (or $x5689 $x5398)))
-(let ((@x5652 (mp ((_ quant-inst ?v1!10) (or $x3590 $x5857)) (rewrite (= (or $x3590 $x5857) (or $x3590 $x5689 $x5398))) (or $x3590 $x5689 $x5398))))
-(let ((@x4367 (unit-resolution (unit-resolution @x5652 (hypothesis $x3585) $x5857) (unit-resolution @x4360 @x4274 $x6142) $x5398)))
-(let ((@x4362 ((_ th-lemma arith farkas -1 1 1) @x4367 @x5656 (unit-resolution (def-axiom (or $x2640 $x1720)) @x3125 $x1720) false)))
-(let ((@x4151 (unit-resolution (lemma @x4362 (or $x2640 $x3590 $x2703)) (unit-resolution (def-axiom (or $x3649 $x3585)) @x4159 $x3585) @x4139 $x2640)))
-(let ((@x4161 (unit-resolution (def-axiom (or $x3637 $x3631)) (unit-resolution (def-axiom (or $x3634 $x2645 $x3628)) @x4151 @x4149 $x3634) $x3637)))
-(let ((@x4158 (unit-resolution (def-axiom (or $x3646 $x3606 $x3640)) @x4161 (unit-resolution (def-axiom (or $x3649 $x3643)) @x4159 $x3643) $x3606)))
-(let (($x3139 (<= (+ b_Infinity$ (* (- 1) (fun_app$a v_b_SP_G_1$ ?v0!8))) 0)))
-(let ((?x5112 (fun_app$a v_b_SP_G_1$ ?v0!8)))
-(let ((?x5119 (* (- 1) ?x5112)))
-(let ((?x3935 (?v1!7 ?v0!8)))
-(let ((?x3976 (pair$ ?x3935 ?v0!8)))
-(let ((?x3971 (b_G$ ?x3976)))
-(let ((?x3928 (fun_app$a v_b_SP_G_1$ ?x3935)))
-(let ((?x3958 (+ ?x3928 ?x3971 ?x5119)))
-(let (($x3970 (= ?x3958 0)))
-(let (($x3980 (not $x3970)))
-(let (($x3930 (fun_app$ v_b_Visited_G_1$ ?x3935)))
-(let (($x3959 (not $x3930)))
-(let (($x3890 (>= (+ ?x3928 ?x5119) 0)))
-(let (($x4009 (or $x3890 $x3959 $x3980)))
-(let ((?x4378 (fun_app$a v_b_SP_G_3$ ?x3935)))
-(let ((?x4397 (* (- 1) ?x4378)))
-(let ((?x4601 (+ ?x3928 ?x4397)))
-(let (($x4605 (>= ?x4601 0)))
-(let ((@x4642 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3928 ?x4378)) $x4605)) (symm (monotonicity (hypothesis $x214) (= ?x4378 ?x3928)) (= ?x3928 ?x4378)) $x4605)))
-(let ((?x4137 (+ ?x1656 ?x5119)))
-(let (($x4122 (>= ?x4137 0)))
-(let ((@x4625 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1656 ?x5112)) $x4122)) (symm (monotonicity @x4002 (= ?x5112 ?x1656)) (= ?x1656 ?x5112)) $x4122)))
-(let (($x4065 (<= ?x3958 0)))
-(let ((@x5126 (unit-resolution (def-axiom (or $x4009 $x3970)) (hypothesis (not $x4009)) $x3970)))
-(let (($x4604 (<= ?x4601 0)))
-(let ((@x5858 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x3928 ?x4378)) $x4604)) (symm (monotonicity (hypothesis $x214) (= ?x4378 ?x3928)) (= ?x3928 ?x4378)) $x4604)))
-(let (($x4121 (<= ?x4137 0)))
-(let ((@x5140 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1656 ?x5112)) $x4121)) (symm (monotonicity @x4002 (= ?x5112 ?x1656)) (= ?x1656 ?x5112)) $x4121)))
-(let (($x4058 (>= ?x3958 0)))
-(let (($x4399 (<= (+ ?x1656 ?x4397) 0)))
-(let (($x4338 (not $x4399)))
-(let ((@x4989 (unit-resolution (def-axiom (or $x4009 (not $x3890))) (hypothesis (not $x4009)) (not $x3890))))
-(let ((@x5003 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1) (or $x4338 (not $x4122) $x3890 (not $x4605))) @x4989 @x4625 @x4642 $x4338)))
-(let (($x4758 (not $x4605)))
-(let (($x4757 (not $x4122)))
-(let (($x4898 (or $x4399 $x3600 (not $x4058) (not $x4121) (not $x4604) (not $x4065) $x4757 $x4758)))
-(let ((?x5665 (* (- 1) ?x3971)))
-(let ((?x4417 (+ ?x1656 ?x5665 ?x4397)))
-(let (($x4445 (>= ?x4417 0)))
-(let ((@x5038 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 -1) (or $x4445 (not $x4065) $x4757 $x4758)) (hypothesis $x4065) (hypothesis $x4122) (hypothesis $x4605) $x4445)))
-(let (($x4444 (<= ?x4417 0)))
-(let ((@x4331 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 -1) (or $x4444 (not $x4058) (not $x4121) (not $x4604))) (hypothesis $x4058) (hypothesis $x4121) (hypothesis $x4604) $x4444)))
-(let (($x4418 (= ?x4417 0)))
-(let (($x4428 (not $x4418)))
-(let (($x4430 (or $x4399 $x4428)))
-(let (($x4447 (or $x3600 $x4399 $x4428)))
-(let (($x4384 (>= (+ ?x4378 ?x1657) 0)))
-(let (($x4388 (or $x4384 (not (= (+ ?x4378 ?x1657 ?x3971) 0)))))
-(let (($x4432 (or $x3600 $x4388)))
-(let ((@x4414 (monotonicity (rewrite (= (+ ?x4378 ?x1657 ?x3971) (+ ?x1657 ?x3971 ?x4378))) (= (= (+ ?x4378 ?x1657 ?x3971) 0) (= (+ ?x1657 ?x3971 ?x4378) 0)))))
-(let ((@x4427 (trans @x4414 (rewrite (= (= (+ ?x1657 ?x3971 ?x4378) 0) $x4418)) (= (= (+ ?x4378 ?x1657 ?x3971) 0) $x4418))))
-(let ((@x4396 (monotonicity (rewrite (= (+ ?x4378 ?x1657) (+ ?x1657 ?x4378))) (= $x4384 (>= (+ ?x1657 ?x4378) 0)))))
-(let ((@x4406 (trans @x4396 (rewrite (= (>= (+ ?x1657 ?x4378) 0) $x4399)) (= $x4384 $x4399))))
-(let ((@x4446 (monotonicity @x4406 (monotonicity @x4427 (= (not (= (+ ?x4378 ?x1657 ?x3971) 0)) $x4428)) (= $x4388 $x4430))))
-(let ((@x4442 (trans (monotonicity @x4446 (= $x4432 (or $x3600 $x4430))) (rewrite (= (or $x3600 $x4430) $x4447)) (= $x4432 $x4447))))
-(let ((@x5041 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!8)) $x4432) @x4442 $x4447) (hypothesis $x3595) $x4430)))
-(let ((@x4897 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4418 (not $x4444) (not $x4445))) (unit-resolution @x5041 (hypothesis $x4338) $x4428) @x4331 @x5038 false)))
-(let ((@x3135 (unit-resolution (lemma @x4897 $x4898) @x5003 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3980 $x4058)) @x5126 $x4058) (hypothesis $x3595) @x5140 @x5858 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x3980 $x4065)) @x5126 $x4065) @x4625 @x4642 false)))
-(let ((@x4168 (unit-resolution (lemma @x3135 (or $x4009 $x3600 $x2703)) (unit-resolution (def-axiom (or $x3603 $x3595)) @x4158 $x3595) @x4139 $x4009)))
-(let ((@x4189 (unit-resolution (def-axiom (or $x3816 $x3576)) @x4357 $x3576)))
-(let (($x4014 (not $x4009)))
-(let (($x4042 (or $x3581 $x1654 $x3139 $x4014)))
-(let (($x3956 (<= (+ ?x5112 (* (- 1) ?x3928)) 0)))
-(let (($x3033 (or $x1654 $x3139 (not (or $x3956 $x3959 (not (= (+ ?x5112 (* (- 1) ?x3928) ?x5665) 0)))))))
-(let (($x4043 (or $x3581 $x3033)))
-(let (($x3964 (= (not (or $x3956 $x3959 (not (= (+ ?x5112 (* (- 1) ?x3928) ?x5665) 0)))) $x4014)))
-(let (($x4010 (= (or $x3956 $x3959 (not (= (+ ?x5112 (* (- 1) ?x3928) ?x5665) 0))) $x4009)))
-(let (($x5977 (= (+ ?x5112 (* (- 1) ?x3928) ?x5665) 0)))
-(let ((@x3929 (rewrite (= (+ ?x5112 (* (- 1) ?x3928) ?x5665) (+ (* (- 1) ?x3928) ?x5665 ?x5112)))))
-(let ((@x3957 (monotonicity @x3929 (= $x5977 (= (+ (* (- 1) ?x3928) ?x5665 ?x5112) 0)))))
-(let ((@x3988 (trans @x3957 (rewrite (= (= (+ (* (- 1) ?x3928) ?x5665 ?x5112) 0) $x3970)) (= $x5977 $x3970))))
-(let ((@x3898 (monotonicity (rewrite (= (+ ?x5112 (* (- 1) ?x3928)) (+ (* (- 1) ?x3928) ?x5112))) (= $x3956 (<= (+ (* (- 1) ?x3928) ?x5112) 0)))))
-(let ((@x3927 (trans @x3898 (rewrite (= (<= (+ (* (- 1) ?x3928) ?x5112) 0) $x3890)) (= $x3956 $x3890))))
-(let ((@x4011 (monotonicity (monotonicity @x3927 (monotonicity @x3988 (= (not $x5977) $x3980)) $x4010) $x3964)))
-(let ((@x4050 (monotonicity (monotonicity @x4011 (= $x3033 (or $x1654 $x3139 $x4014))) (= $x4043 (or $x3581 (or $x1654 $x3139 $x4014))))))
-(let ((@x4053 (trans @x4050 (rewrite (= (or $x3581 (or $x1654 $x3139 $x4014)) $x4042)) (= $x4043 $x4042))))
-(let ((@x4248 (unit-resolution (mp ((_ quant-inst ?v0!8) $x4043) @x4053 $x4042) @x4189 (unit-resolution (def-axiom (or $x3603 $x1655)) @x4158 $x1655) (or $x3139 $x4014))))
-(let (($x4136 (= ?x1656 ?x5112)))
-(let ((@x4235 (monotonicity (symm @x4139 (= v_b_SP_G_1$ v_b_SP_G_3$)) (= ?x5112 ?x1656))))
-(let ((@x4237 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4136) $x4122)) (symm @x4235 $x4136) $x4122)))
-(let ((@x4238 ((_ th-lemma arith farkas 1 -1 1) @x4237 (unit-resolution @x4248 @x4168 $x3139) (unit-resolution (def-axiom (or $x3603 $x1660)) @x4158 $x1660) false)))
-(let ((@x4802 (unit-resolution (def-axiom (or $x3813 $x3652 $x3807)) (lemma @x4238 $x3649) (unit-resolution (def-axiom (or $x3816 $x3810)) @x4357 $x3810) $x3807)))
-(let ((@x6739 (symm (unit-resolution (def-axiom (or $x3804 $x261)) @x4802 $x261) (= ?x260 v_b_Visited_G_2$))))
-(let ((@x10168 (symm (monotonicity @x6739 (= $x5237 (fun_app$ v_b_Visited_G_2$ ?v0!20))) (= (fun_app$ v_b_Visited_G_2$ ?v0!20) $x5237))))
-(let ((@x10119 (monotonicity @x10168 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!20)) $x9037))))
-(let (($x4298 (fun_app$ v_b_Visited_G_2$ ?v0!20)))
-(let (($x4299 (not $x4298)))
-(let ((?x4413 (fun_app$a v_b_SP_G_1$ ?v0!20)))
-(let ((?x4438 (* (- 1) ?x4413)))
-(let ((?x4439 (+ ?x1906 ?x4438)))
-(let (($x6002 (>= ?x4439 0)))
-(let (($x9479 (not $x6002)))
-(let ((@x9476 (hypothesis $x6002)))
-(let (($x9588 (or (not (<= (+ ?x1906 (* (- 1) (v_b_SP_G_2$ (?v1!7 ?v0!20)))) 0)) $x9479)))
-(let ((?x4661 (?v1!7 ?v0!20)))
-(let ((?x4662 (fun_app$a v_b_SP_G_1$ ?x4661)))
-(let ((?x4663 (* (- 1) ?x4662)))
-(let ((?x4664 (+ ?x4413 ?x4663)))
-(let (($x4665 (<= ?x4664 0)))
-(let ((?x4668 (pair$ ?x4661 ?v0!20)))
-(let ((?x4669 (b_G$ ?x4668)))
-(let ((?x4670 (* (- 1) ?x4669)))
-(let ((?x4671 (+ ?x4413 ?x4663 ?x4670)))
-(let (($x4672 (= ?x4671 0)))
-(let (($x4673 (not $x4672)))
-(let (($x4666 (fun_app$ v_b_Visited_G_1$ ?x4661)))
-(let (($x4667 (not $x4666)))
-(let (($x4674 (or $x4665 $x4667 $x4673)))
-(let (($x4675 (not $x4674)))
-(let (($x1884 (not $x1883)))
-(let ((@x8699 (hypothesis $x2806)))
-(let (($x7517 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!19)))) 0)))
-(let ((?x7554 (pair$ v_b_v_G_1$ ?v0!19)))
-(let ((?x7555 (b_G$ ?x7554)))
-(let ((?x7388 (fun_app$a v_b_SP_G_1$ ?v0!19)))
-(let ((?x7461 (* (- 1) ?x7388)))
-(let (($x4944 (>= (+ ?x254 ?x7461 ?x7555) 0)))
-(let (($x8378 (or $x7517 $x4944)))
-(let ((?x7471 (+ ?x254 ?x1889 ?x7555)))
-(let (($x6876 (= ?x7471 0)))
-(let (($x8868 (not $x6876)))
-(let (($x6123 (>= ?x7471 0)))
-(let (($x8149 (not $x6123)))
-(let ((?x7512 (* (- 1) ?x7555)))
-(let ((?x9069 (+ ?x1880 ?x7512)))
-(let (($x8504 (>= ?x9069 0)))
-(let (($x6383 (= ?v1!18 v_b_v_G_1$)))
-(let (($x5168 (fun_app$ v_b_Visited_G_1$ ?v1!18)))
-(let (($x6179 (not $x5168)))
-(let (($x7401 (<= (+ ?x1888 ?x7461) 0)))
-(let ((?x5283 (b_G$ (pair$ v_b_v_G_1$ ?v0!13))))
-(let ((?x5139 (+ ?x254 ?x1805 ?x5283)))
-(let (($x4859 (= ?x5139 0)))
-(let (($x4202 (>= (+ ?x254 (* (- 1) ?x1803) ?x5283) 0)))
-(let (($x3165 (<= (+ b_Infinity$ (* (- 1) ?x5283)) 0)))
-(let (($x4930 (or $x3165 $x4202)))
-(let (($x4933 (not $x4930)))
-(let ((@x4771 (monotonicity (commutativity (= (= ?x1803 ?x1804) (= ?x1804 ?x1803))) (= (not (= ?x1803 ?x1804)) (not (= ?x1804 ?x1803))))))
-(let (($x4765 (not (= ?x1803 ?x1804))))
-(let ((@x4772 (mp (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4765 $x1807)) (hypothesis $x1808) $x4765) @x4771 (not (= ?x1804 ?x1803)))))
-(let (($x4288 (= ?x1804 ?x1803)))
-(let (($x4284 (or $x4933 $x4288)))
-(let ((@x4803 (unit-resolution (def-axiom (or $x3804 $x3673)) @x4802 $x3673)))
-(let (($x4290 (or $x3678 $x4933 $x4288)))
-(let (($x4289 (or (not (or $x3165 (<= (+ ?x1803 ?x1168 (* (- 1) ?x5283)) 0))) $x4288)))
-(let (($x4291 (or $x3678 $x4289)))
-(let (($x3167 (<= (+ ?x1803 ?x1168 (* (- 1) ?x5283)) 0)))
-(let ((@x4198 (rewrite (= (+ ?x1803 ?x1168 (* (- 1) ?x5283)) (+ ?x1168 ?x1803 (* (- 1) ?x5283))))))
-(let ((@x4195 (monotonicity @x4198 (= $x3167 (<= (+ ?x1168 ?x1803 (* (- 1) ?x5283)) 0)))))
-(let ((@x5138 (trans @x4195 (rewrite (= (<= (+ ?x1168 ?x1803 (* (- 1) ?x5283)) 0) $x4202)) (= $x3167 $x4202))))
-(let ((@x4283 (monotonicity (monotonicity @x5138 (= (or $x3165 $x3167) $x4930)) (= (not (or $x3165 $x3167)) $x4933))))
-(let ((@x4294 (monotonicity (monotonicity @x4283 (= $x4289 $x4284)) (= $x4291 (or $x3678 $x4284)))))
-(let ((@x5050 (mp ((_ quant-inst ?v0!13) $x4291) (trans @x4294 (rewrite (= (or $x3678 $x4284) $x4290)) (= $x4291 $x4290)) $x4290)))
-(let ((@x4805 (unit-resolution (def-axiom (or $x4930 (not $x3165))) (unit-resolution (unit-resolution @x5050 @x4803 $x4284) @x4772 $x4933) (not $x3165))))
-(let ((@x4788 (unit-resolution (def-axiom (or $x4930 (not $x4202))) (unit-resolution (unit-resolution @x5050 @x4803 $x4284) @x4772 $x4933) (not $x4202))))
-(let (($x5127 (or $x3165 $x4202 $x4859)))
-(let ((@x4789 (unit-resolution (def-axiom (or $x3804 $x3665)) @x4802 $x3665)))
-(let (($x5129 (or $x3670 $x3165 $x4202 $x4859)))
-(let (($x4192 (or $x3165 $x3167 (= (+ ?x254 ?x5283 ?x1805) 0))))
-(let (($x5130 (or $x3670 $x4192)))
-(let ((@x4861 (monotonicity (rewrite (= (+ ?x254 ?x5283 ?x1805) ?x5139)) (= (= (+ ?x254 ?x5283 ?x1805) 0) $x4859))))
-(let ((@x5135 (monotonicity (monotonicity @x5138 @x4861 (= $x4192 $x5127)) (= $x5130 (or $x3670 $x5127)))))
-(let ((@x5160 (mp ((_ quant-inst ?v0!13) $x5130) (trans @x5135 (rewrite (= (or $x3670 $x5127) $x5129)) (= $x5130 $x5129)) $x5129)))
-(let ((@x4787 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4859) (>= ?x5139 0))) (unit-resolution (unit-resolution @x5160 @x4789 $x5127) @x4788 @x4805 $x4859) (>= ?x5139 0))))
-(let ((@x4795 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (<= ?x1806 0) $x1807)) (hypothesis $x1808) (<= ?x1806 0))))
-(let ((@x5162 (unit-resolution (def-axiom (or $x3801 $x1808 $x3795)) (unit-resolution (def-axiom (or $x3804 $x3798)) @x4802 $x3798) $x3798)))
-(let ((@x4711 (unit-resolution @x5162 (lemma ((_ th-lemma arith farkas 1 -1 1) @x4795 @x4788 @x4787 false) $x1807) $x3795)))
-(let ((@x4714 (unit-resolution (def-axiom (or $x3792 $x3681)) @x4711 $x3681)))
-(let (($x6395 (or $x3686 $x7401)))
-(let ((@x8489 (monotonicity (rewrite (= (+ ?x7388 ?x1889) (+ ?x1889 ?x7388))) (= (>= (+ ?x7388 ?x1889) 0) (>= (+ ?x1889 ?x7388) 0)))))
-(let ((@x7634 (trans @x8489 (rewrite (= (>= (+ ?x1889 ?x7388) 0) $x7401)) (= (>= (+ ?x7388 ?x1889) 0) $x7401))))
-(let ((@x8284 (trans (monotonicity @x7634 (= (or $x3686 (>= (+ ?x7388 ?x1889) 0)) $x6395)) (rewrite (= $x6395 $x6395)) (= (or $x3686 (>= (+ ?x7388 ?x1889) 0)) $x6395))))
-(let ((@x8710 (unit-resolution (mp ((_ quant-inst ?v0!19) (or $x3686 (>= (+ ?x7388 ?x1889) 0))) @x8284 $x6395) @x4714 $x7401)))
-(let (($x8129 (>= (+ ?x1887 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v1!18))) 0)))
-(let ((?x6950 (fun_app$a v_b_SP_G_1$ ?v1!18)))
-(let (($x6951 (= ?x1887 ?x6950)))
-(let (($x1819 (fun_app$ v_b_Visited_G_2$ ?v0!14)))
-(let (($x3393 (not $x1823)))
-(let (($x5543 (fun_app$ v_b_Visited_G_1$ ?v0!14)))
-(let (($x5064 (= ?v0!14 v_b_v_G_1$)))
-(let (($x6244 (or $x5064 $x5543)))
-(let (($x5974 (fun_app$ ?x260 ?v0!14)))
-(let (($x6373 (= $x5974 $x6244)))
-(let (($x3463 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(! (let (($x63 (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v3)))
-(= $x63 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))) :pattern ( (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v3) ) :qid k!34))
-))
-(let (($x73 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(! (let (($x63 (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v3)))
-(= $x63 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))) :qid k!34))
-))
-(let (($x63 (fun_app$ (fun_upd$ ?3 ?2 ?1) ?0)))
-(let (($x70 (= $x63 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0)))))
-(let (($x68 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) (?v3 B_Vertex$) )(! (let (($x63 (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v3)))
-(= $x63 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))) :qid k!34))
-))
-(let ((@x72 (rewrite (= (= $x63 (ite (= ?0 ?2) ?1 (fun_app$ ?3 ?0))) $x70))))
-(let ((@x1438 (mp~ (mp (asserted $x68) (quant-intro @x72 (= $x68 $x73)) $x73) (nnf-pos (refl (~ $x70 $x70)) (~ $x73 $x73)) $x73)))
-(let ((@x3468 (mp @x1438 (quant-intro (refl (= $x70 $x70)) (= $x73 $x3463)) $x3463)))
-(let (($x4134 (not $x3463)))
-(let (($x5805 (or $x4134 $x6373)))
-(let ((@x5853 (monotonicity (rewrite (= (ite $x5064 true $x5543) $x6244)) (= (= $x5974 (ite $x5064 true $x5543)) $x6373))))
-(let ((@x3152 (monotonicity @x5853 (= (or $x4134 (= $x5974 (ite $x5064 true $x5543))) $x5805))))
-(let ((@x4912 (trans @x3152 (rewrite (= $x5805 $x5805)) (= (or $x4134 (= $x5974 (ite $x5064 true $x5543))) $x5805))))
-(let ((@x4913 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!14) (or $x4134 (= $x5974 (ite $x5064 true $x5543)))) @x4912 $x5805)))
-(let ((@x5240 (mp (hypothesis $x1819) (symm (monotonicity @x6739 (= $x5974 $x1819)) (= $x1819 $x5974)) $x5974)))
-(let ((@x5728 (unit-resolution (def-axiom (or (not $x6373) (not $x5974) $x6244)) @x5240 (unit-resolution @x4913 @x3468 $x6373) $x6244)))
-(let ((@x7078 (hypothesis $x3393)))
-(let ((?x3063 (v_b_SP_G_2$ v_b_v_G_1$)))
-(let (($x3024 (= ?x3063 ?x254)))
-(let ((?x3076 (pair$ v_b_v_G_1$ v_b_v_G_1$)))
-(let ((?x3077 (b_G$ ?x3076)))
-(let (($x3038 (>= ?x3077 0)))
-(let (($x3080 (<= (+ b_Infinity$ (* (- 1) ?x3077)) 0)))
-(let (($x4540 (or $x3080 $x3038)))
-(let (($x6342 (= ?x3077 0)))
-(let (($x3469 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :pattern ( (pair$ ?v0 ?v1) ) :qid k!36))
-))
-(let (($x95 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :qid k!36))
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-(let (($x92 (or (not (= ?1 ?0)) (= (b_G$ (pair$ ?1 ?0)) 0))))
-(let (($x89 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x80 (= ?v0 ?v1)))
-(=> $x80 (= (b_G$ (pair$ ?v0 ?v1)) 0))) :qid k!36))
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-(let ((@x94 (rewrite (= (=> (= ?1 ?0) (= (b_G$ (pair$ ?1 ?0)) 0)) $x92))))
-(let ((@x1443 (mp~ (mp (asserted $x89) (quant-intro @x94 (= $x89 $x95)) $x95) (nnf-pos (refl (~ $x92 $x92)) (~ $x95 $x95)) $x95)))
-(let ((@x3474 (mp @x1443 (quant-intro (refl (= $x92 $x92)) (= $x95 $x3469)) $x3469)))
-(let (($x3045 (not $x3469)))
-(let (($x6595 (or $x3045 $x6342)))
-(let ((@x6585 (monotonicity (rewrite (= (= v_b_v_G_1$ v_b_v_G_1$) true)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) (not true)))))
-(let ((@x6587 (trans @x6585 (rewrite (= (not true) false)) (= (not (= v_b_v_G_1$ v_b_v_G_1$)) false))))
-(let ((@x6590 (monotonicity @x6587 (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x6342) (or false $x6342)))))
-(let ((@x6594 (trans @x6590 (rewrite (= (or false $x6342) $x6342)) (= (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x6342) $x6342))))
-(let ((@x6599 (monotonicity @x6594 (= (or $x3045 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x6342)) $x6595))))
-(let ((@x6602 (trans @x6599 (rewrite (= $x6595 $x6595)) (= (or $x3045 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x6342)) $x6595))))
-(let ((@x6603 (mp ((_ quant-inst v_b_v_G_1$ v_b_v_G_1$) (or $x3045 (or (not (= v_b_v_G_1$ v_b_v_G_1$)) $x6342))) @x6602 $x6595)))
-(let ((@x6616 (lemma (unit-resolution @x6603 @x3474 (hypothesis (not $x6342)) false) $x6342)))
-(let ((@x7085 (unit-resolution (def-axiom (or $x4540 (not $x3038))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6342) $x3038)) @x6616 $x3038) $x4540)))
-(let (($x4579 (not $x4540)))
-(let (($x4550 (or $x4579 $x3024)))
-(let (($x4556 (or $x3678 $x4579 $x3024)))
-(let (($x3874 (or (not (or $x3080 (<= (+ ?x254 ?x1168 (* (- 1) ?x3077)) 0))) $x3024)))
-(let (($x4557 (or $x3678 $x3874)))
-(let (($x3062 (<= (+ ?x254 ?x1168 (* (- 1) ?x3077)) 0)))
-(let ((@x4468 (monotonicity (rewrite (= (+ ?x254 ?x1168 (* (- 1) ?x3077)) (* (- 1) ?x3077))) (= $x3062 (<= (* (- 1) ?x3077) 0)))))
-(let ((@x4485 (trans @x4468 (rewrite (= (<= (* (- 1) ?x3077) 0) $x3038)) (= $x3062 $x3038))))
-(let ((@x4549 (monotonicity (monotonicity @x4485 (= (or $x3080 $x3062) $x4540)) (= (not (or $x3080 $x3062)) $x4579))))
-(let ((@x4561 (monotonicity (monotonicity @x4549 (= $x3874 $x4550)) (= $x4557 (or $x3678 $x4550)))))
-(let ((@x4574 (mp ((_ quant-inst v_b_v_G_1$) $x4557) (trans @x4561 (rewrite (= (or $x3678 $x4550) $x4556)) (= $x4557 $x4556)) $x4556)))
-(let ((@x7095 (trans (monotonicity (hypothesis $x5064) (= ?x1821 ?x3063)) (unit-resolution (unit-resolution @x4574 @x4803 $x4550) @x7085 $x3024) (= ?x1821 ?x254))))
-(let ((@x7096 (trans @x7095 (symm (monotonicity (hypothesis $x5064) (= ?x1822 ?x254)) (= ?x254 ?x1822)) $x1823)))
-(let ((@x6504 (unit-resolution (lemma (unit-resolution @x7078 @x7096 false) (or (not $x5064) $x1823)) @x7078 (not $x5064))))
-(let ((@x6501 (unit-resolution (def-axiom (or (not $x6244) $x5064 $x5543)) @x6504 (or (not $x6244) $x5543))))
-(let (($x6879 (>= (+ ?x254 (* (- 1) ?x1822)) 0)))
-(let (($x7105 (not $x6879)))
-(let (($x6372 (>= (+ ?x254 (* (- 1) ?x1822) (b_G$ (pair$ v_b_v_G_1$ ?v0!14))) 0)))
-(let (($x6043 (not $x6372)))
-(let (($x5623 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x6328 (or $x5623 $x6372)))
-(let (($x5555 (not $x6328)))
-(let (($x5565 (or $x3678 $x5555 $x1823)))
-(let (($x5711 (<= (+ ?x1822 ?x1168 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x5760 (or (not (or $x5623 $x5711)) $x1823)))
-(let (($x5490 (or $x3678 $x5760)))
-(let (($x5031 (<= (+ ?x1168 ?x1822 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) 0)))
-(let (($x5019 (= (+ ?x1822 ?x1168 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))) (+ ?x1168 ?x1822 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v0!14)))))))
-(let ((@x6180 (trans (monotonicity (rewrite $x5019) (= $x5711 $x5031)) (rewrite (= $x5031 $x6372)) (= $x5711 $x6372))))
-(let ((@x5556 (monotonicity (monotonicity @x6180 (= (or $x5623 $x5711) $x6328)) (= (not (or $x5623 $x5711)) $x5555))))
-(let ((@x4918 (monotonicity (monotonicity @x5556 (= $x5760 (or $x5555 $x1823))) (= $x5490 (or $x3678 (or $x5555 $x1823))))))
-(let ((@x6362 (trans @x4918 (rewrite (= (or $x3678 (or $x5555 $x1823)) $x5565)) (= $x5490 $x5565))))
-(let ((@x6339 (unit-resolution (def-axiom (or $x6328 $x6043)) (unit-resolution (mp ((_ quant-inst ?v0!14) $x5490) @x6362 $x5565) @x4803 @x7078 $x5555) $x6043)))
-(let ((?x5617 (pair$ v_b_v_G_1$ ?v0!14)))
-(let ((?x5621 (b_G$ ?x5617)))
-(let (($x6266 (>= ?x5621 0)))
-(let ((@x6636 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x5621 0)) $x6266)) (hypothesis (not $x6266)) (not (= ?x5621 0)))))
-(let (($x6078 (= v_b_v_G_1$ ?v0!14)))
-(let (($x6076 (<= ?x5621 0)))
-(let ((@x6410 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x6266 $x6076)) (hypothesis (not $x6266)) $x6076)))
-(let (($x6080 (or $x6078 (not $x6076))))
-(let (($x3475 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x80 (= ?v0 ?v1)))
-(or $x80 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :pattern ( (pair$ ?v0 ?v1) ) :qid k!37))
-))
-(let (($x116 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x80 (= ?v0 ?v1)))
-(or $x80 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :qid k!37))
-))
-(let (($x80 (= ?1 ?0)))
-(let (($x113 (or $x80 (not (<= (b_G$ (pair$ ?1 ?0)) 0)))))
-(let (($x101 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x29 (pair$ ?v0 ?v1)))
-(let ((?x81 (b_G$ ?x29)))
-(let (($x98 (< 0 ?x81)))
-(=> (not (= ?v0 ?v1)) $x98)))) :qid k!37))
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-(let (($x106 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x29 (pair$ ?v0 ?v1)))
-(let ((?x81 (b_G$ ?x29)))
-(let (($x98 (< 0 ?x81)))
-(let (($x80 (= ?v0 ?v1)))
-(or $x80 $x98))))) :qid k!37))
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-(let ((?x29 (pair$ ?1 ?0)))
-(let ((?x81 (b_G$ ?x29)))
-(let (($x98 (< 0 ?x81)))
-(let ((@x115 (monotonicity (rewrite (= $x98 (not (<= ?x81 0)))) (= (or $x80 $x98) $x113))))
-(let ((@x108 (quant-intro (rewrite (= (=> (not $x80) $x98) (or $x80 $x98))) (= $x101 $x106))))
-(let ((@x121 (mp (asserted $x101) (trans @x108 (quant-intro @x115 (= $x106 $x116)) (= $x101 $x116)) $x116)))
-(let ((@x3480 (mp (mp~ @x121 (nnf-pos (refl (~ $x113 $x113)) (~ $x116 $x116)) $x116) (quant-intro (refl (= $x113 $x113)) (= $x116 $x3475)) $x3475)))
-(let ((@x6389 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3475) $x6080)) (rewrite (= (or (not $x3475) $x6080) (or (not $x3475) $x6078 (not $x6076)))) (or (not $x3475) $x6078 (not $x6076)))))
-(let (($x6086 (= ?x5621 0)))
-(let (($x6096 (or (not $x6078) $x6086)))
-(let ((@x6264 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or $x3045 $x6096)) (rewrite (= (or $x3045 $x6096) (or $x3045 (not $x6078) $x6086))) (or $x3045 (not $x6078) $x6086))))
-(let ((@x6993 (unit-resolution (unit-resolution @x6264 @x3474 $x6096) (unit-resolution (unit-resolution @x6389 @x3480 $x6080) @x6410 $x6078) @x6636 false)))
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-(let ((@x6134 (unit-resolution (unit-resolution @x7107 (lemma @x6993 $x6266) (or $x6372 $x7105)) @x6339 $x7105)))
-(let ((@x6066 (unit-resolution (def-axiom (or $x3804 $x253)) @x4802 $x253)))
-(let ((@x6683 (unit-resolution (def-axiom (or $x3816 $x3560)) @x4357 $x3560)))
-(let (($x6034 (= (or $x3565 (or $x252 (not $x5543) $x6879)) (or $x3565 $x252 (not $x5543) $x6879))))
-(let ((@x6556 (mp ((_ quant-inst ?v0!14 v_b_v_G_1$) (or $x3565 (or $x252 (not $x5543) $x6879))) (rewrite $x6034) (or $x3565 $x252 (not $x5543) $x6879))))
-(let ((@x6850 (unit-resolution @x6556 @x6683 @x6066 @x6134 (unit-resolution @x6501 @x5728 $x5543) false)))
-(let ((@x5791 (unit-resolution (lemma @x6850 $x1824) (unit-resolution (def-axiom (or $x1824 $x3393)) (hypothesis $x1825) $x3393) (unit-resolution (def-axiom (or $x1824 $x1819)) (hypothesis $x1825) $x1819) false)))
-(let ((@x9261 (unit-resolution (def-axiom (or $x3789 $x1825 $x3783)) (unit-resolution (def-axiom (or $x3792 $x3786)) @x4711 $x3786) $x3786)))
-(let ((@x9263 (unit-resolution (def-axiom (or $x3780 $x3690)) (unit-resolution @x9261 (lemma @x5791 $x1824) $x3783) $x3690)))
-(let ((@x6271 (mp ((_ quant-inst ?v1!18) (or $x3695 (or $x2786 $x6951))) (rewrite (= (or $x3695 (or $x2786 $x6951)) (or $x3695 $x2786 $x6951))) (or $x3695 $x2786 $x6951))))
-(let ((@x5205 (unit-resolution @x6271 @x9263 (unit-resolution (def-axiom (or $x2801 $x1878)) @x8699 $x1878) $x6951)))
-(let ((@x8621 ((_ th-lemma arith assign-bounds -1 -1 1) (or (not (>= (+ ?x1880 ?x6950 ?x7461) 0)) (not $x7401) $x1891 (not $x8129)))))
-(let ((@x8189 (unit-resolution @x8621 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6951) $x8129)) @x5205 $x8129) (unit-resolution (def-axiom (or $x2801 (not $x1891))) @x8699 (not $x1891)) @x8710 (not (>= (+ ?x1880 ?x6950 ?x7461) 0)))))
-(let (($x5620 (= (or $x3573 (or $x6179 $x1883 (>= (+ ?x1880 ?x6950 ?x7461) 0))) (or $x3573 $x6179 $x1883 (>= (+ ?x1880 ?x6950 ?x7461) 0)))))
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-(let ((@x8192 (unit-resolution @x7205 (unit-resolution (def-axiom (or $x3816 $x3568)) @x4357 $x3568) (unit-resolution (def-axiom (or $x2801 $x1884)) @x8699 $x1884) (or $x6179 (>= (+ ?x1880 ?x6950 ?x7461) 0)))))
-(let (($x8059 (or $x6383 $x5168)))
-(let (($x4914 (fun_app$ ?x260 ?v1!18)))
-(let (($x8555 (= $x4914 $x8059)))
-(let (($x7052 (or $x4134 $x8555)))
-(let ((@x8554 (monotonicity (rewrite (= (ite $x6383 true $x5168) $x8059)) (= (= $x4914 (ite $x6383 true $x5168)) $x8555))))
-(let ((@x8280 (monotonicity @x8554 (= (or $x4134 (= $x4914 (ite $x6383 true $x5168))) $x7052))))
-(let ((@x7080 (trans @x8280 (rewrite (= $x7052 $x7052)) (= (or $x4134 (= $x4914 (ite $x6383 true $x5168))) $x7052))))
-(let ((@x7791 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!18) (or $x4134 (= $x4914 (ite $x6383 true $x5168)))) @x7080 $x7052)))
-(let ((@x8161 (mp (unit-resolution (def-axiom (or $x2801 $x1878)) @x8699 $x1878) (symm (monotonicity @x6739 (= $x4914 $x1878)) (= $x1878 $x4914)) $x4914)))
-(let ((@x8162 (unit-resolution (def-axiom (or (not $x8555) (not $x4914) $x8059)) @x8161 (unit-resolution @x7791 @x3468 $x8555) $x8059)))
-(let ((@x8163 (unit-resolution (def-axiom (or (not $x8059) $x6383 $x5168)) @x8162 (unit-resolution @x8192 @x8189 $x6179) $x6383)))
-(let ((@x5864 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1880 ?x7555)) $x8504)) (monotonicity (monotonicity @x8163 (= ?x1879 ?x7554)) (= ?x1880 ?x7555)) $x8504)))
-(let (($x7609 (>= (+ ?x1887 (* (- 1) ?x3063)) 0)))
-(let ((@x5835 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1887 ?x3063)) $x7609)) (monotonicity @x8163 (= ?x1887 ?x3063)) $x7609)))
-(let ((?x3064 (* (- 1) ?x3063)))
-(let ((?x3904 (+ ?x254 ?x3064)))
-(let (($x3905 (<= ?x3904 0)))
-(let (($x4587 (= ?x254 ?x3063)))
-(let ((@x8351 (mp (unit-resolution (unit-resolution @x4574 @x4803 $x4550) @x7085 $x3024) (symm (commutativity (= $x4587 $x3024)) (= $x3024 $x4587)) $x4587)))
-(let ((@x8148 ((_ th-lemma arith farkas 1 -1 1 -1 1) (hypothesis $x6123) (hypothesis (not $x1891)) (hypothesis $x7609) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4587) $x3905)) @x8351 $x3905) (hypothesis $x8504) false)))
-(let ((@x6098 (unit-resolution (lemma @x8148 (or $x8149 $x1891 (not $x7609) (not $x8504))) (unit-resolution (def-axiom (or $x2801 (not $x1891))) @x8699 (not $x1891)) @x5835 @x5864 $x8149)))
-(let ((@x8175 (unit-resolution (def-axiom (or $x8378 (not $x7517))) (hypothesis (not $x8378)) (not $x7517))))
-(let (($x7000 (not $x4944)))
-(let ((@x8640 (unit-resolution (def-axiom (or $x8378 $x7000)) (hypothesis (not $x8378)) $x7000)))
-(let (($x6310 (or $x7517 $x4944 $x6876)))
-(let (($x7071 (or $x3670 $x7517 $x4944 $x6876)))
-(let (($x7524 (<= (+ ?x7388 ?x1168 ?x7512) 0)))
-(let (($x7589 (or $x7517 $x7524 (= (+ ?x254 ?x7555 ?x1889) 0))))
-(let (($x6768 (or $x3670 $x7589)))
-(let ((@x6946 (monotonicity (rewrite (= (+ ?x254 ?x7555 ?x1889) ?x7471)) (= (= (+ ?x254 ?x7555 ?x1889) 0) $x6876))))
-(let ((@x7308 (monotonicity (rewrite (= (+ ?x7388 ?x1168 ?x7512) (+ ?x1168 ?x7388 ?x7512))) (= $x7524 (<= (+ ?x1168 ?x7388 ?x7512) 0)))))
-(let ((@x8377 (trans @x7308 (rewrite (= (<= (+ ?x1168 ?x7388 ?x7512) 0) $x4944)) (= $x7524 $x4944))))
-(let ((@x6639 (monotonicity (monotonicity @x8377 @x6946 (= $x7589 $x6310)) (= $x6768 (or $x3670 $x6310)))))
-(let ((@x6030 (mp ((_ quant-inst ?v0!19) $x6768) (trans @x6639 (rewrite (= (or $x3670 $x6310) $x7071)) (= $x6768 $x7071)) $x7071)))
-(let ((@x8762 (unit-resolution (unit-resolution @x6030 @x4789 $x6310) @x8640 @x8175 (hypothesis $x8868) false)))
-(let ((@x8475 (unit-resolution (lemma @x8762 (or $x8378 $x6876)) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8868 $x6123)) @x6098 $x8868) $x8378)))
-(let ((@x8713 (lemma ((_ th-lemma arith farkas -1 -1 1) @x8710 (hypothesis $x8149) (hypothesis $x4944) false) (or $x7000 $x6123))))
-(let ((@x7808 (unit-resolution (def-axiom (or (not $x8378) $x7517 $x4944)) (unit-resolution @x8713 @x6098 $x7000) @x8475 $x7517)))
-(let ((@x7807 ((_ th-lemma arith farkas 1 -1 1) @x5864 @x7808 (unit-resolution (def-axiom (or $x2801 $x1884)) @x8699 $x1884) false)))
-(let (($x3381 (not $x1864)))
-(let ((@x6859 (hypothesis $x2760)))
-(let ((@x6910 (unit-resolution (def-axiom (or $x2755 $x3381)) @x6859 $x3381)))
-(let (($x6437 (<= (+ ?x254 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v1!16))) 0)))
-(let (($x4947 (fun_app$ v_b_Visited_G_1$ ?v1!16)))
-(let (($x6336 (= ?v1!16 v_b_v_G_1$)))
-(let (($x8534 (or $x6336 $x4947)))
-(let (($x6263 (fun_app$ ?x260 ?v1!16)))
-(let (($x6346 (= $x6263 $x8534)))
-(let (($x8582 (or $x4134 $x6346)))
-(let ((@x8309 (monotonicity (rewrite (= (ite $x6336 true $x4947) $x8534)) (= (= $x6263 (ite $x6336 true $x4947)) $x6346))))
-(let ((@x8586 (monotonicity @x8309 (= (or $x4134 (= $x6263 (ite $x6336 true $x4947))) $x8582))))
-(let ((@x8591 (trans @x8586 (rewrite (= $x8582 $x8582)) (= (or $x4134 (= $x6263 (ite $x6336 true $x4947))) $x8582))))
-(let ((@x8592 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!16) (or $x4134 (= $x6263 (ite $x6336 true $x4947)))) @x8591 $x8582)))
-(let ((@x7062 (monotonicity (symm (monotonicity @x6739 (= $x6263 $x1855)) (= $x1855 $x6263)) (= (not $x1855) (not $x6263)))))
-(let ((@x7109 (mp (unit-resolution (def-axiom (or $x2755 (not $x1855))) @x6859 (not $x1855)) @x7062 (not $x6263))))
-(let ((@x7053 (unit-resolution (def-axiom (or (not $x6346) $x6263 (not $x8534))) @x7109 (unit-resolution @x8592 @x3468 $x6346) (not $x8534))))
-(let (($x7664 (or $x4947 $x6437)))
-(let ((@x7108 (unit-resolution (def-axiom (or $x3804 $x3655)) @x4802 $x3655)))
-(let (($x6930 (or $x3660 $x4947 $x6437)))
-(let (($x7189 (>= (+ (fun_app$a v_b_SP_G_1$ ?v1!16) ?x1168) 0)))
-(let (($x7192 (or $x4947 $x7189)))
-(let (($x7392 (or $x3660 $x7192)))
-(let ((@x6696 (rewrite (= (>= (+ ?x1168 (fun_app$a v_b_SP_G_1$ ?v1!16)) 0) $x6437))))
-(let (($x7657 (= (+ (fun_app$a v_b_SP_G_1$ ?v1!16) ?x1168) (+ ?x1168 (fun_app$a v_b_SP_G_1$ ?v1!16)))))
-(let ((@x6394 (monotonicity (rewrite $x7657) (= $x7189 (>= (+ ?x1168 (fun_app$a v_b_SP_G_1$ ?v1!16)) 0)))))
-(let ((@x7789 (monotonicity (monotonicity (trans @x6394 @x6696 (= $x7189 $x6437)) (= $x7192 $x7664)) (= $x7392 (or $x3660 $x7664)))))
-(let ((@x7788 (mp ((_ quant-inst ?v1!16) $x7392) (trans @x7789 (rewrite (= (or $x3660 $x7664) $x6930)) (= $x7392 $x6930)) $x6930)))
-(let ((@x7110 (unit-resolution (unit-resolution @x7788 @x7108 $x7664) (unit-resolution (def-axiom (or $x8534 (not $x4947))) @x7053 (not $x4947)) $x6437)))
-(let (($x6906 (<= (+ (v_b_SP_G_2$ ?v0!17) (* (- 1) (fun_app$a v_b_SP_G_1$ ?v0!17))) 0)))
-(let (($x7394 (or $x3686 $x6906)))
-(let (($x6869 (>= (+ (fun_app$a v_b_SP_G_1$ ?v0!17) (* (- 1) (v_b_SP_G_2$ ?v0!17))) 0)))
-(let (($x7794 (>= (+ (* (- 1) (v_b_SP_G_2$ ?v0!17)) (fun_app$a v_b_SP_G_1$ ?v0!17)) 0)))
-(let (($x7505 (= (+ (fun_app$a v_b_SP_G_1$ ?v0!17) (* (- 1) (v_b_SP_G_2$ ?v0!17))) (+ (* (- 1) (v_b_SP_G_2$ ?v0!17)) (fun_app$a v_b_SP_G_1$ ?v0!17)))))
-(let ((@x6937 (trans (monotonicity (rewrite $x7505) (= $x6869 $x7794)) (rewrite (= $x7794 $x6906)) (= $x6869 $x6906))))
-(let ((@x7419 (trans (monotonicity @x6937 (= (or $x3686 $x6869) $x7394)) (rewrite (= $x7394 $x7394)) (= (or $x3686 $x6869) $x7394))))
-(let (($x6920 (>= (+ (v_b_SP_G_2$ ?v1!16) (* (- 1) (fun_app$a v_b_SP_G_1$ ?v1!16))) 0)))
-(let ((?x6958 (fun_app$a v_b_SP_G_1$ ?v1!16)))
-(let ((?x1860 (v_b_SP_G_2$ ?v1!16)))
-(let (($x6841 (= ?x1860 ?x6958)))
-(let (($x7027 (>= (+ ?x254 (b_G$ (pair$ v_b_v_G_1$ ?v1!16)) (* (- 1) ?x6958)) 0)))
-(let (($x6231 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ ?v1!16)))) 0)))
-(let (($x7455 (or $x6231 $x7027)))
-(let ((?x6824 (pair$ v_b_v_G_1$ ?v1!16)))
-(let ((?x6825 (b_G$ ?x6824)))
-(let ((?x6938 (* (- 1) ?x1860)))
-(let ((?x6929 (+ ?x254 ?x6938 ?x6825)))
-(let (($x7553 (= ?x6929 0)))
-(let (($x7206 (not $x7553)))
-(let (($x6067 (<= ?x6929 0)))
-(let (($x6919 (not $x6067)))
-(let (($x6631 (fun_app$ v_b_Visited_G_1$ ?v0!17)))
-(let (($x6844 (= ?v0!17 v_b_v_G_1$)))
-(let (($x6265 (or $x6844 $x6631)))
-(let (($x6895 (fun_app$ ?x260 ?v0!17)))
-(let (($x6665 (= $x6895 $x6265)))
-(let (($x5717 (or $x4134 $x6665)))
-(let ((@x6990 (monotonicity (rewrite (= (ite $x6844 true $x6631) $x6265)) (= (= $x6895 (ite $x6844 true $x6631)) $x6665))))
-(let ((@x7528 (monotonicity @x6990 (= (or $x4134 (= $x6895 (ite $x6844 true $x6631))) $x5717))))
-(let ((@x7133 (trans @x7528 (rewrite (= $x5717 $x5717)) (= (or $x4134 (= $x6895 (ite $x6844 true $x6631))) $x5717))))
-(let ((@x7043 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!17) (or $x4134 (= $x6895 (ite $x6844 true $x6631)))) @x7133 $x5717)))
-(let ((@x7214 (mp (unit-resolution (def-axiom (or $x2755 $x1857)) @x6859 $x1857) (symm (monotonicity @x6739 (= $x6895 $x1857)) (= $x1857 $x6895)) $x6895)))
-(let ((@x7215 (unit-resolution (def-axiom (or (not $x6665) (not $x6895) $x6265)) @x7214 (unit-resolution @x7043 @x3468 $x6665) $x6265)))
-(let (($x7558 (<= ?x6825 0)))
-(let (($x7559 (not $x7558)))
-(let ((@x6953 (symm (commutativity (= (= v_b_v_G_1$ ?v1!16) $x6336)) (= $x6336 (= v_b_v_G_1$ ?v1!16)))))
-(let ((@x6769 (mp (hypothesis (not $x6336)) (monotonicity @x6953 (= (not $x6336) (not (= v_b_v_G_1$ ?v1!16)))) (not (= v_b_v_G_1$ ?v1!16)))))
-(let (($x7557 (= v_b_v_G_1$ ?v1!16)))
-(let (($x7560 (or $x7557 $x7559)))
-(let ((@x5992 (mp ((_ quant-inst v_b_v_G_1$ ?v1!16) (or (not $x3475) $x7560)) (rewrite (= (or (not $x3475) $x7560) (or (not $x3475) $x7557 $x7559))) (or (not $x3475) $x7557 $x7559))))
-(let ((@x6161 (hypothesis $x3381)))
-(let ((?x6285 (fun_app$a v_b_SP_G_1$ ?v0!17)))
-(let ((?x6904 (* (- 1) ?x6285)))
-(let ((?x7131 (+ ?x254 ?x6904)))
-(let (($x6000 (>= ?x7131 0)))
-(let (($x6858 (not $x6844)))
-(let ((?x1861 (v_b_SP_G_2$ ?v0!17)))
-(let (($x6188 (= ?x1861 ?x3063)))
-(let (($x5847 (not $x6188)))
-(let ((?x5089 (+ ?x1861 ?x3064)))
-(let (($x5848 (<= ?x5089 0)))
-(let (($x6925 (not $x5848)))
-(let ((@x6267 (hypothesis $x6067)))
-(let (($x3906 (>= ?x3904 0)))
-(let (($x4341 (or $x3686 $x3906)))
-(let ((@x4906 ((_ quant-inst v_b_v_G_1$) $x4341)))
-(let ((@x6160 (unit-resolution @x4906 @x4714 $x3906)))
-(let ((@x6971 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x6267 (hypothesis $x5848) @x6161 @x6160 (hypothesis $x7559) false) (or $x6925 $x6919 $x1864 $x7558))))
-(let ((@x6928 (unit-resolution @x6971 @x6267 @x6161 (unit-resolution (unit-resolution @x5992 @x3480 $x7560) @x6769 $x7559) $x6925)))
-(let ((@x6532 ((_ th-lemma arith triangle-eq) (or $x5847 $x5848))))
-(let ((@x5114 (unit-resolution (hypothesis $x5847) (monotonicity (hypothesis $x6844) $x6188) false)))
-(let ((@x5115 (lemma @x5114 (or $x6858 $x6188))))
-(let ((@x8623 (def-axiom (or (not $x6265) $x6844 $x6631))))
-(let ((@x4834 (unit-resolution @x8623 (unit-resolution @x5115 (unit-resolution @x6532 @x6928 $x5847) $x6858) (hypothesis $x6265) $x6631)))
-(let (($x5475 (= (or $x3565 (or $x252 (not $x6631) $x6000)) (or $x3565 $x252 (not $x6631) $x6000))))
-(let ((@x5735 (mp ((_ quant-inst ?v0!17 v_b_v_G_1$) (or $x3565 (or $x252 (not $x6631) $x6000))) (rewrite $x5475) (or $x3565 $x252 (not $x6631) $x6000))))
-(let ((@x6914 ((_ th-lemma arith farkas 1 1 1 1 1) @x6267 (unit-resolution @x5735 @x6683 @x6066 @x4834 $x6000) (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3686 $x6869)) @x7419 $x7394) @x4714 $x6906) @x6161 (unit-resolution (unit-resolution @x5992 @x3480 $x7560) @x6769 $x7559) false)))
-(let ((@x7217 (unit-resolution (lemma @x6914 (or $x6919 $x1864 (not $x6265) $x6336)) @x6910 @x7215 (unit-resolution (def-axiom (or $x8534 (not $x6336))) @x7053 (not $x6336)) $x6919)))
-(let ((@x6357 (unit-resolution (def-axiom (or $x7455 (not $x6231))) (hypothesis (not $x7455)) (not $x6231))))
-(let ((@x6426 (unit-resolution (def-axiom (or $x7455 (not $x7027))) (hypothesis (not $x7455)) (not $x7027))))
-(let (($x7603 (or $x6231 $x7027 $x7553)))
-(let (($x5113 (or $x3670 $x6231 $x7027 $x7553)))
-(let (($x6826 (<= (+ ?x6958 ?x1168 (* (- 1) ?x6825)) 0)))
-(let (($x6927 (or $x6231 $x6826 (= (+ ?x254 ?x6825 ?x6938) 0))))
-(let (($x7688 (or $x3670 $x6927)))
-(let ((@x7602 (monotonicity (rewrite (= (+ ?x254 ?x6825 ?x6938) ?x6929)) (= (= (+ ?x254 ?x6825 ?x6938) 0) $x7553))))
-(let ((@x7947 (rewrite (= (+ ?x6958 ?x1168 (* (- 1) ?x6825)) (+ ?x1168 (* (- 1) ?x6825) ?x6958)))))
-(let ((@x7737 (monotonicity @x7947 (= $x6826 (<= (+ ?x1168 (* (- 1) ?x6825) ?x6958) 0)))))
-(let ((@x8385 (trans @x7737 (rewrite (= (<= (+ ?x1168 (* (- 1) ?x6825) ?x6958) 0) $x7027)) (= $x6826 $x7027))))
-(let ((@x6604 (monotonicity (monotonicity @x8385 @x7602 (= $x6927 $x7603)) (= $x7688 (or $x3670 $x7603)))))
-(let ((@x7391 (mp ((_ quant-inst ?v1!16) $x7688) (trans @x6604 (rewrite (= (or $x3670 $x7603) $x5113)) (= $x7688 $x5113)) $x5113)))
-(let ((@x4197 (unit-resolution (unit-resolution @x7391 @x4789 $x7603) @x6426 @x6357 (hypothesis $x7206) false)))
-(let ((@x7250 (unit-resolution (lemma @x4197 (or $x7455 $x7553)) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7206 $x6067)) @x7217 $x7206) $x7455)))
-(let (($x7639 (not $x7455)))
-(let (($x7673 (or $x7639 $x6841)))
-(let (($x7669 (or $x3678 $x7639 $x6841)))
-(let ((@x7671 (monotonicity (monotonicity @x8385 (= (or $x6231 $x6826) $x7455)) (= (not (or $x6231 $x6826)) $x7639))))
-(let ((@x7677 (monotonicity (monotonicity @x7671 (= (or (not (or $x6231 $x6826)) $x6841) $x7673)) (= (or $x3678 (or (not (or $x6231 $x6826)) $x6841)) (or $x3678 $x7673)))))
-(let ((@x7387 (trans @x7677 (rewrite (= (or $x3678 $x7673) $x7669)) (= (or $x3678 (or (not (or $x6231 $x6826)) $x6841)) $x7669))))
-(let ((@x7252 (unit-resolution (mp ((_ quant-inst ?v1!16) (or $x3678 (or (not (or $x6231 $x6826)) $x6841))) @x7387 $x7669) @x4803 $x7673)))
-(let ((@x7315 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6841) $x6920)) (unit-resolution @x7252 @x7250 $x6841) $x6920)))
-(let ((@x7323 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 -1) (or (not $x6000) (not $x6437) (not $x6920) (not $x6906) $x1864)) @x7315 (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3686 $x6869)) @x7419 $x7394) @x4714 $x6906) @x7110 @x6910 (not $x6000))))
-(let ((@x7351 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 1) (or $x6925 (not $x3906) (not $x6437) (not $x6920) $x1864)) @x7315 @x6160 @x7110 @x6910 $x6925)))
-(let ((@x7364 (unit-resolution @x8623 (unit-resolution @x5115 (unit-resolution @x6532 @x7351 $x5847) $x6858) @x7215 $x6631)))
-(let (($x6106 (not (<= (b_G$ (pair$ v_b_v_G_1$ ?v0!15)) 0))))
-(let (($x5808 (= v_b_v_G_1$ ?v0!15)))
-(let (($x5324 (not $x5808)))
-(let ((@x6624 (symm (commutativity (= $x5808 (= ?v0!15 v_b_v_G_1$))) (= (= ?v0!15 v_b_v_G_1$) $x5808))))
-(let (($x6044 (= ?v0!15 v_b_v_G_1$)))
-(let (($x6867 (not $x6044)))
-(let (($x5521 (fun_app$ v_b_Visited_G_1$ ?v0!15)))
-(let (($x6849 (or $x6044 $x5521)))
-(let (($x6408 (fun_app$ ?x260 ?v0!15)))
-(let (($x6494 (= $x6408 $x6849)))
-(let (($x5683 (or $x4134 $x6494)))
-(let ((@x6072 (monotonicity (rewrite (= (ite $x6044 true $x5521) $x6849)) (= (= $x6408 (ite $x6044 true $x5521)) $x6494))))
-(let ((@x6772 (monotonicity @x6072 (= (or $x4134 (= $x6408 (ite $x6044 true $x5521))) $x5683))))
-(let ((@x5812 (trans @x6772 (rewrite (= $x5683 $x5683)) (= (or $x4134 (= $x6408 (ite $x6044 true $x5521))) $x5683))))
-(let ((@x5804 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!15) (or $x4134 (= $x6408 (ite $x6044 true $x5521)))) @x5812 $x5683)))
-(let ((@x6715 (symm (monotonicity @x6739 (= $x6408 (fun_app$ v_b_Visited_G_2$ ?v0!15))) (= (fun_app$ v_b_Visited_G_2$ ?v0!15) $x6408))))
-(let ((@x6719 (monotonicity @x6715 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!15)) (not $x6408)))))
-(let (($x6151 (fun_app$ v_b_Visited_G_2$ ?v0!15)))
-(let (($x6527 (not $x6151)))
-(let ((@x6833 (hypothesis $x1843)))
-(let (($x6836 (or (not (>= (+ ?x1841 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v0!15))) 0)) $x1842)))
-(let (($x6830 (>= (+ ?x1841 (* (- 1) (fun_app$a v_b_SP_G_1$ ?v0!15))) 0)))
-(let ((?x6459 (fun_app$a v_b_SP_G_1$ ?v0!15)))
-(let (($x6119 (>= ?x6459 0)))
-(let ((@x4713 (unit-resolution (def-axiom (or $x3816 $x3551)) @x4357 $x3551)))
-(let ((@x6834 ((_ th-lemma arith farkas -1 1 1) @x6833 (unit-resolution ((_ quant-inst ?v0!15) (or $x3556 $x6119)) @x4713 $x6119) (hypothesis $x6830) false)))
-(let ((@x6656 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1841 ?x6459)) $x6830)) (unit-resolution (lemma @x6834 $x6836) @x6833 (not $x6830)) (not (= ?x1841 ?x6459)))))
-(let (($x6618 (= (or $x3695 (or $x6527 (= ?x1841 ?x6459))) (or $x3695 $x6527 (= ?x1841 ?x6459)))))
-(let ((@x6610 (mp ((_ quant-inst ?v0!15) (or $x3695 (or $x6527 (= ?x1841 ?x6459)))) (rewrite $x6618) (or $x3695 $x6527 (= ?x1841 ?x6459)))))
-(let ((@x6720 (mp (unit-resolution @x6610 (hypothesis $x3690) @x6656 $x6527) @x6719 (not $x6408))))
-(let ((@x6725 (unit-resolution (def-axiom (or (not $x6494) $x6408 (not $x6849))) @x6720 (unit-resolution @x5804 @x3468 $x6494) (not $x6849))))
-(let ((@x6488 (mp (unit-resolution (def-axiom (or $x6849 $x6867)) @x6725 $x6867) (monotonicity @x6624 (= $x6867 $x5324)) $x5324)))
-(let (($x6164 (or $x5808 $x6106)))
-(let ((@x5318 (mp ((_ quant-inst v_b_v_G_1$ ?v0!15) (or (not $x3475) $x6164)) (rewrite (= (or (not $x3475) $x6164) (or (not $x3475) $x5808 $x6106))) (or (not $x3475) $x5808 $x6106))))
-(let (($x3157 (>= ?x169 0)))
-(let ((?x4056 (+ ?x169 ?x1168)))
-(let (($x6181 (<= ?x4056 0)))
-(let (($x3907 (= v_b_v_G_1$ b_Source$)))
-(let ((?x3908 (?v1!7 v_b_v_G_1$)))
-(let ((?x3915 (pair$ ?x3908 v_b_v_G_1$)))
-(let ((?x3916 (b_G$ ?x3915)))
-(let ((?x3917 (* (- 1) ?x3916)))
-(let ((?x3909 (fun_app$a v_b_SP_G_1$ ?x3908)))
-(let ((?x3910 (* (- 1) ?x3909)))
-(let ((?x3918 (+ ?x254 ?x3910 ?x3917)))
-(let (($x3919 (= ?x3918 0)))
-(let (($x3913 (fun_app$ v_b_Visited_G_1$ ?x3908)))
-(let (($x3914 (not $x3913)))
-(let ((?x3911 (+ ?x254 ?x3910)))
-(let (($x3912 (<= ?x3911 0)))
-(let (($x3921 (or $x3912 $x3914 (not $x3919))))
-(let (($x4342 (>= ?x3911 0)))
-(let (($x6807 (not $x4342)))
-(let ((@x6790 (hypothesis $x4342)))
-(let (($x5838 (>= ?x3909 0)))
-(let ((?x6528 (pair$ v_b_v_G_1$ ?v0!15)))
-(let ((?x6529 (b_G$ ?x6528)))
-(let ((?x6364 (* (- 1) ?x1841)))
-(let ((?x5981 (+ ?x254 ?x6364 ?x6529)))
-(let (($x6866 (<= ?x5981 0)))
-(let (($x6554 (= ?x5981 0)))
-(let (($x5936 (>= (+ ?x254 (* (- 1) ?x6459) ?x6529) 0)))
-(let (($x6303 (<= (+ b_Infinity$ (* (- 1) ?x6529)) 0)))
-(let (($x3933 (or $x6303 $x5936)))
-(let (($x6288 (not $x3933)))
-(let (($x6486 (= ?x1841 ?x6459)))
-(let (($x6685 (or $x3678 $x6288 $x6486)))
-(let (($x6462 (or (not (or $x6303 (<= (+ ?x6459 ?x1168 (* (- 1) ?x6529)) 0))) $x6486)))
-(let (($x6686 (or $x3678 $x6462)))
-(let (($x5681 (<= (+ ?x6459 ?x1168 (* (- 1) ?x6529)) 0)))
-(let ((@x3990 (rewrite (= (+ ?x6459 ?x1168 (* (- 1) ?x6529)) (+ ?x1168 ?x6459 (* (- 1) ?x6529))))))
-(let ((@x4138 (monotonicity @x3990 (= $x5681 (<= (+ ?x1168 ?x6459 (* (- 1) ?x6529)) 0)))))
-(let ((@x3932 (trans @x4138 (rewrite (= (<= (+ ?x1168 ?x6459 (* (- 1) ?x6529)) 0) $x5936)) (= $x5681 $x5936))))
-(let ((@x6693 (monotonicity (monotonicity @x3932 (= (or $x6303 $x5681) $x3933)) (= (not (or $x6303 $x5681)) $x6288))))
-(let ((@x6509 (monotonicity (monotonicity @x6693 (= $x6462 (or $x6288 $x6486))) (= $x6686 (or $x3678 (or $x6288 $x6486))))))
-(let ((@x5868 (trans @x6509 (rewrite (= (or $x3678 (or $x6288 $x6486)) $x6685)) (= $x6686 $x6685))))
-(let ((@x6885 (unit-resolution (def-axiom (or $x3933 (not $x6303))) (hypothesis $x6288) (not $x6303))))
-(let ((@x6886 (unit-resolution (def-axiom (or $x3933 (not $x5936))) (hypothesis $x6288) (not $x5936))))
-(let (($x4983 (or $x6303 $x5936 $x6554)))
-(let (($x3903 (or $x3670 $x6303 $x5936 $x6554)))
-(let (($x5258 (or $x6303 $x5681 (= (+ ?x254 ?x6529 ?x6364) 0))))
-(let (($x4854 (or $x3670 $x5258)))
-(let ((@x4987 (monotonicity (rewrite (= (+ ?x254 ?x6529 ?x6364) ?x5981)) (= (= (+ ?x254 ?x6529 ?x6364) 0) $x6554))))
-(let ((@x5496 (monotonicity (monotonicity @x3932 @x4987 (= $x5258 $x4983)) (= $x4854 (or $x3670 $x4983)))))
-(let ((@x5069 (mp ((_ quant-inst ?v0!15) $x4854) (trans @x5496 (rewrite (= (or $x3670 $x4983) $x3903)) (= $x4854 $x3903)) $x3903)))
-(let ((@x6888 (unit-resolution (unit-resolution @x5069 @x4789 $x4983) @x6886 @x6885 (hypothesis (not $x6554)) false)))
-(let ((@x6099 (unit-resolution (lemma @x6888 (or $x3933 $x6554)) (unit-resolution (mp ((_ quant-inst ?v0!15) $x6686) @x5868 $x6685) @x4803 @x6656 $x6288) $x6554)))
-(let ((@x6871 ((_ th-lemma arith farkas 1 1 1 1 1) @x6833 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6554) $x6866)) @x6099 $x6866) (unit-resolution ((_ quant-inst (?v1!7 v_b_v_G_1$)) (or $x3556 $x5838)) @x4713 $x5838) @x6790 (unit-resolution (unit-resolution @x5318 @x3480 $x6164) @x6488 $x6106) false)))
-(let ((@x6225 (unit-resolution (lemma @x6871 (or $x3695 $x1842 $x6807)) (hypothesis $x3690) @x6833 $x6807)))
-(let ((@x3174 (def-axiom (or $x3921 (not $x3912)))))
-(let ((@x6645 (unit-resolution @x3174 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x4342 $x3912)) @x6225 $x3912) $x3921)))
-(let (($x3922 (not $x3921)))
-(let (($x4599 (or $x3581 $x3907 $x1208 $x3922)))
-(let ((@x4617 (mp ((_ quant-inst v_b_v_G_1$) (or $x3581 (or $x3907 $x1208 $x3922))) (rewrite (= (or $x3581 (or $x3907 $x1208 $x3922)) $x4599)) $x4599)))
-(let ((@x6649 (unit-resolution @x4617 @x4189 (unit-resolution (def-axiom (or $x3804 $x1209)) @x4802 $x1209) (or $x3907 $x3922))))
-(let ((@x5588 (symm (monotonicity (unit-resolution @x6649 @x6645 $x3907) (= ?x254 ?x169)) (= ?x169 ?x254))))
-(let ((@x5241 ((_ th-lemma arith farkas 1 1 1 1 1) @x6833 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6554) $x6866)) @x6099 $x6866) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x169 ?x254)) $x6181)) @x5588 $x6181) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x2947 $x3157)) @x4135 $x3157) (unit-resolution (unit-resolution @x5318 @x3480 $x6164) @x6488 $x6106) false)))
-(let ((@x8742 (unit-resolution (def-axiom (or $x3780 $x3774)) (unit-resolution @x9261 (lemma @x5791 $x1824) $x3783) $x3774)))
-(let (($x4076 (= ?x291 ?x169)))
-(let (($x4073 (<= (+ ?x169 ?x1168 (* (- 1) (b_G$ (pair$ v_b_v_G_1$ b_Source$)))) 0)))
-(let (($x4071 (<= (+ b_Infinity$ (* (- 1) (b_G$ (pair$ v_b_v_G_1$ b_Source$)))) 0)))
-(let (($x4074 (or $x4071 $x4073)))
-(let (($x3924 (>= ?x254 0)))
-(let (($x4636 (or $x3556 $x3924)))
-(let ((@x4637 ((_ quant-inst v_b_v_G_1$) $x4636)))
-(let (($x4075 (not $x4074)))
-(let ((@x5775 (hypothesis $x4075)))
-(let ((?x4061 (pair$ v_b_v_G_1$ b_Source$)))
-(let ((?x4062 (b_G$ ?x4061)))
-(let (($x5863 (>= ?x4062 0)))
-(let (($x5333 (= ?x4062 0)))
-(let (($x5329 (<= ?x4062 0)))
-(let (($x4173 (<= ?x291 0)))
-(let ((?x4078 (* (- 1) ?x291)))
-(let ((?x4144 (+ ?x169 ?x4078)))
-(let (($x4145 (>= ?x4144 0)))
-(let (($x4905 (or $x3686 $x4145)))
-(let ((@x5229 ((_ quant-inst b_Source$) $x4905)))
-(let (($x3158 (<= ?x169 0)))
-(let ((@x4838 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x2947 $x3158)) @x4135 $x3158)))
-(let ((@x4827 (unit-resolution ((_ th-lemma arith assign-bounds -1 1) (or $x4173 (not $x3158) (not $x4145))) @x4838 (unit-resolution @x5229 @x4714 $x4145) $x4173)))
-(let ((?x4096 (+ ?x254 ?x4078 ?x4062)))
-(let (($x4116 (<= ?x4096 0)))
-(let (($x4099 (= ?x4096 0)))
-(let (($x4102 (or $x4071 $x4073 $x4099)))
-(let (($x4105 (or $x3670 $x4071 $x4073 $x4099)))
-(let (($x4095 (or $x4071 $x4073 (= (+ ?x254 ?x4062 ?x4078) 0))))
-(let (($x4106 (or $x3670 $x4095)))
-(let ((@x4101 (monotonicity (rewrite (= (+ ?x254 ?x4062 ?x4078) ?x4096)) (= (= (+ ?x254 ?x4062 ?x4078) 0) $x4099))))
-(let ((@x4110 (monotonicity (monotonicity @x4101 (= $x4095 $x4102)) (= $x4106 (or $x3670 $x4102)))))
-(let ((@x4115 (mp ((_ quant-inst b_Source$) $x4106) (trans @x4110 (rewrite (= (or $x3670 $x4102) $x4105)) (= $x4106 $x4105)) $x4105)))
-(let ((@x5780 (unit-resolution (unit-resolution @x4115 (hypothesis $x3665) $x4102) (unit-resolution (def-axiom (or $x4074 (not $x4073))) @x5775 (not $x4073)) (unit-resolution (def-axiom (or $x4074 (not $x4071))) @x5775 (not $x4071)) (hypothesis (not $x4099)) false)))
-(let ((@x4831 (unit-resolution (lemma @x5780 (or $x4074 $x4099 $x3670)) @x4789 (or $x4074 $x4099))))
-(let ((@x4846 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4099) $x4116)) (unit-resolution @x4831 @x5775 $x4099) $x4116)))
-(let ((@x5939 ((_ th-lemma arith farkas -1 1 -1 1) (hypothesis $x3924) (hypothesis $x4173) (hypothesis (not $x5329)) (hypothesis $x4116) false)))
-(let ((@x4867 (unit-resolution (lemma @x5939 (or $x5329 (not $x3924) (not $x4173) (not $x4116))) (unit-resolution @x4637 @x4713 $x3924) (or $x5329 (not $x4173) (not $x4116)))))
-(let (($x5274 (= (or (not $x3475) (or $x3907 (not $x5329))) (or (not $x3475) $x3907 (not $x5329)))))
-(let ((@x5275 (mp ((_ quant-inst v_b_v_G_1$ b_Source$) (or (not $x3475) (or $x3907 (not $x5329)))) (rewrite $x5274) (or (not $x3475) $x3907 (not $x5329)))))
-(let ((@x5099 (rewrite (= (or $x3045 (or (not $x3907) $x5333)) (or $x3045 (not $x3907) $x5333)))))
-(let ((@x5081 (mp ((_ quant-inst v_b_v_G_1$ b_Source$) (or $x3045 (or (not $x3907) $x5333))) @x5099 (or $x3045 (not $x3907) $x5333))))
-(let ((@x4868 (unit-resolution @x5081 @x3474 (unit-resolution @x5275 @x3480 (unit-resolution @x4867 @x4846 @x4827 $x5329) $x3907) $x5333)))
-(let ((@x4872 ((_ th-lemma arith farkas -1 1 1 1) @x4838 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5333) $x5863)) @x4868 $x5863) (unit-resolution (def-axiom (or $x4074 (not $x4073))) @x5775 (not $x4073)) (unit-resolution @x4637 @x4713 $x3924) false)))
-(let (($x4077 (or $x4075 $x4076)))
-(let (($x5055 (or $x3678 $x4075 $x4076)))
-(let ((@x5303 (mp ((_ quant-inst b_Source$) (or $x3678 $x4077)) (rewrite (= (or $x3678 $x4077) $x5055)) $x5055)))
-(let ((@x8878 (unit-resolution (unit-resolution @x5303 @x4803 $x4077) (lemma @x4872 $x4074) $x4076)))
-(let ((@x9287 (unit-resolution (def-axiom (or $x3777 $x768 $x3771)) (mp @x8878 (monotonicity @x4135 (= $x4076 $x292)) $x292) (or $x3777 $x3771))))
-(let ((@x8755 (unit-resolution (def-axiom (or $x3768 $x3762)) (unit-resolution @x9287 @x8742 $x3771) $x3762)))
-(let ((@x8979 (unit-resolution (def-axiom (or $x3765 $x1843 $x3759)) @x8755 (unit-resolution (lemma @x5241 (or $x3695 $x1842)) @x9263 $x1842) $x3759)))
-(let ((@x9416 (unit-resolution (def-axiom (or $x3753 $x2760 $x3747)) (unit-resolution (def-axiom (or $x3756 $x3750)) @x8979 $x3750) $x3750)))
-(let ((@x9452 (unit-resolution @x9416 (lemma (unit-resolution @x5735 @x6683 @x6066 @x7364 @x7323 false) $x2755) $x3747)))
-(let ((@x9454 (unit-resolution (def-axiom (or $x3741 $x2806 $x3735)) (unit-resolution (def-axiom (or $x3744 $x3738)) @x9452 $x3738) $x3738)))
-(let ((@x9455 (unit-resolution @x9454 (lemma @x7807 $x2801) $x3735)))
-(let ((@x9475 (unit-resolution (def-axiom (or $x3732 $x1910)) @x9455 $x1910)))
-(let ((@x9478 ((_ th-lemma arith farkas -1 1 1) (hypothesis (<= (+ b_Infinity$ ?x4438) 0)) @x9476 @x9475 false)))
-(let ((@x9241 (unit-resolution (lemma @x9478 (or $x9479 (not (<= (+ b_Infinity$ ?x4438) 0)))) @x9476 (not (<= (+ b_Infinity$ ?x4438) 0)))))
-(let (($x4660 (<= (+ b_Infinity$ ?x4438) 0)))
-(let (($x8499 (or $x3581 $x1904 $x4660 $x4675)))
-(let ((@x7305 (mp ((_ quant-inst ?v0!20) (or $x3581 (or $x1904 $x4660 $x4675))) (rewrite (= (or $x3581 (or $x1904 $x4660 $x4675)) $x8499)) $x8499)))
-(let ((@x9599 (unit-resolution @x7305 @x4189 (unit-resolution (def-axiom (or $x3732 $x1905)) @x9455 $x1905) (or $x4660 $x4675))))
-(let ((@x9582 (unit-resolution @x9599 @x9241 $x4675)))
-(let ((?x4717 (v_b_SP_G_2$ ?x4661)))
-(let ((?x4720 (* (- 1) ?x4717)))
-(let ((?x4721 (+ ?x4662 ?x4720)))
-(let (($x4728 (>= ?x4721 0)))
-(let ((@x9586 ((_ th-lemma arith farkas 1 1 -1 1) @x9476 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3686 $x4728)) @x4714 $x4728) (hypothesis (<= (+ ?x1906 ?x4720) 0)) (unit-resolution (def-axiom (or $x4674 (not $x4665))) @x9582 (not $x4665)) false)))
-(let ((@x8898 (unit-resolution (lemma @x9586 $x9588) @x9476 (not (<= (+ ?x1906 ?x4720) 0)))))
-(let ((?x7341 (+ ?x1906 ?x4670 ?x4720)))
-(let (($x7121 (= ?x7341 0)))
-(let (($x5719 (<= ?x7341 0)))
-(let (($x4844 (<= (+ b_Infinity$ ?x4670) 0)))
-(let (($x8387 (not $x4844)))
-(let (($x7025 (>= ?x4671 0)))
-(let ((@x8158 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4673 $x7025)) (unit-resolution (def-axiom (or $x4674 $x4672)) @x9582 $x4672) $x7025)))
-(let (($x4825 (>= ?x4662 0)))
-(let ((@x8897 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1 -1) (or $x8387 (not $x4825) (not $x7025) $x1909 $x9479)) @x9475 (or $x8387 (not $x4825) (not $x7025) $x9479))))
-(let ((@x8874 (unit-resolution @x8897 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3556 $x4825)) @x4713 $x4825) @x9476 @x8158 $x8387)))
-(let (($x4709 (fun_app$ v_b_Visited_G_2$ ?x4661)))
-(let ((@x6057 (monotonicity (symm (hypothesis $x261) (= ?x260 v_b_Visited_G_2$)) (= (fun_app$ ?x260 ?x4661) $x4709))))
-(let ((@x6061 (monotonicity (symm @x6057 (= $x4709 (fun_app$ ?x260 ?x4661))) (= (not $x4709) (not (fun_app$ ?x260 ?x4661))))))
-(let (($x6003 (fun_app$ ?x260 ?x4661)))
-(let (($x6010 (= ?x4661 v_b_v_G_1$)))
-(let (($x6013 (or $x6010 $x4666)))
-(let (($x6016 (= $x6003 $x6013)))
-(let (($x6019 (or $x4134 $x6016)))
-(let ((@x6018 (monotonicity (rewrite (= (ite $x6010 true $x4666) $x6013)) (= (= $x6003 (ite $x6010 true $x4666)) $x6016))))
-(let ((@x6023 (monotonicity @x6018 (= (or $x4134 (= $x6003 (ite $x6010 true $x4666))) $x6019))))
-(let ((@x6026 (trans @x6023 (rewrite (= $x6019 $x6019)) (= (or $x4134 (= $x6003 (ite $x6010 true $x4666))) $x6019))))
-(let ((@x6027 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true (?v1!7 ?v0!20)) (or $x4134 (= $x6003 (ite $x6010 true $x4666)))) @x6026 $x6019)))
-(let ((@x6050 (unit-resolution (def-axiom (or (not $x6016) $x6003 (not $x6013))) (unit-resolution (def-axiom (or $x6013 $x4667)) (hypothesis $x4666) $x6013) (or (not $x6016) $x6003))))
-(let ((@x6063 (unit-resolution (unit-resolution @x6050 (unit-resolution @x6027 @x3468 $x6016) $x6003) (mp (hypothesis (not $x4709)) @x6061 (not $x6003)) false)))
-(let ((@x8957 (unit-resolution (lemma @x6063 (or $x4709 $x2930 $x4667)) (unit-resolution (def-axiom (or $x3804 $x261)) @x4802 $x261) (or $x4709 $x4667))))
-(let ((@x8892 (unit-resolution @x8957 (unit-resolution (def-axiom (or $x4674 $x4666)) @x9582 $x4666) $x4709)))
-(let (($x4710 (not $x4709)))
-(let (($x6183 (or $x3720 $x4710 $x4844 $x5719)))
-(let (($x4848 (>= (+ ?x4669 ?x4717 ?x1907) 0)))
-(let (($x4849 (or $x4710 $x4844 $x4848)))
-(let (($x7891 (or $x3720 $x4849)))
-(let ((@x7340 (monotonicity (rewrite (= (+ ?x4669 ?x4717 ?x1907) (+ ?x1907 ?x4669 ?x4717))) (= $x4848 (>= (+ ?x1907 ?x4669 ?x4717) 0)))))
-(let ((@x7415 (trans @x7340 (rewrite (= (>= (+ ?x1907 ?x4669 ?x4717) 0) $x5719)) (= $x4848 $x5719))))
-(let ((@x7922 (monotonicity (monotonicity @x7415 (= $x4849 (or $x4710 $x4844 $x5719))) (= $x7891 (or $x3720 (or $x4710 $x4844 $x5719))))))
-(let ((@x7119 (trans @x7922 (rewrite (= (or $x3720 (or $x4710 $x4844 $x5719)) $x6183)) (= $x7891 $x6183))))
-(let ((@x8954 (unit-resolution (mp ((_ quant-inst ?v0!20 (?v1!7 ?v0!20)) $x7891) @x7119 $x6183) (unit-resolution (def-axiom (or $x3732 $x3715)) @x9455 $x3715) @x8892 (or $x4844 $x5719))))
-(let (($x8133 (>= ?x7341 0)))
-(let ((@x9055 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8133 (not $x7025) $x9479 (not $x4728))) (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3686 $x4728)) @x4714 $x4728) @x8158 @x9476 $x8133)))
-(let ((@x9049 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7121 (not $x5719) (not $x8133))) @x9055 (unit-resolution @x8954 @x8874 $x5719) $x7121)))
-(let (($x7918 (not $x7121)))
-(let ((?x4888 (+ ?x1906 ?x4720)))
-(let (($x7874 (<= ?x4888 0)))
-(let (($x8072 (or $x3729 $x7874 $x4710 $x7918)))
-(let (($x4877 (>= (+ ?x4717 ?x1907) 0)))
-(let (($x4881 (or $x4877 $x4710 (not (= (+ ?x4717 ?x1907 ?x4669) 0)))))
-(let (($x8040 (or $x3729 $x4881)))
-(let ((@x6258 (monotonicity (rewrite (= (+ ?x4717 ?x1907 ?x4669) (+ ?x1907 ?x4669 ?x4717))) (= (= (+ ?x4717 ?x1907 ?x4669) 0) (= (+ ?x1907 ?x4669 ?x4717) 0)))))
-(let ((@x7178 (trans @x6258 (rewrite (= (= (+ ?x1907 ?x4669 ?x4717) 0) $x7121)) (= (= (+ ?x4717 ?x1907 ?x4669) 0) $x7121))))
-(let ((@x7871 (monotonicity (rewrite (= (+ ?x4717 ?x1907) (+ ?x1907 ?x4717))) (= $x4877 (>= (+ ?x1907 ?x4717) 0)))))
-(let ((@x7892 (trans @x7871 (rewrite (= (>= (+ ?x1907 ?x4717) 0) $x7874)) (= $x4877 $x7874))))
-(let ((@x8041 (monotonicity @x7892 (monotonicity @x7178 (= (not (= (+ ?x4717 ?x1907 ?x4669) 0)) $x7918)) (= $x4881 (or $x7874 $x4710 $x7918)))))
-(let ((@x8107 (trans (monotonicity @x8041 (= $x8040 (or $x3729 (or $x7874 $x4710 $x7918)))) (rewrite (= (or $x3729 (or $x7874 $x4710 $x7918)) $x8072)) (= $x8040 $x8072))))
-(let ((@x9051 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!20)) $x8040) @x8107 $x8072) (unit-resolution (def-axiom (or $x3732 $x3724)) @x9455 $x3724) @x8892 (or $x7874 $x7918))))
-(let ((@x10024 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1906 ?x4413)) $x6002)) (lemma (unit-resolution @x9051 @x9049 @x8898 false) $x9479) (not (= ?x1906 ?x4413)))))
-(let (($x4420 (= ?x1906 ?x4413)))
-(let (($x4423 (or $x4299 $x4420)))
-(let (($x8830 (or $x3695 $x4299 $x4420)))
-(let ((@x8691 (mp ((_ quant-inst ?v0!20) (or $x3695 $x4423)) (rewrite (= (or $x3695 $x4423) $x8830)) $x8830)))
-(let ((@x10120 (mp (unit-resolution (unit-resolution @x8691 @x9263 $x4423) @x10024 $x4299) @x10119 $x9037)))
-(let (($x4629 (fun_app$ v_b_Visited_G_1$ ?v0!20)))
-(let (($x5238 (= ?v0!20 v_b_v_G_1$)))
-(let (($x10274 (or $x5238 $x4629)))
-(let (($x10073 (= $x5237 $x10274)))
-(let (($x10506 (or $x4134 $x10073)))
-(let ((@x10500 (monotonicity (rewrite (= (ite $x5238 true $x4629) $x10274)) (= (= $x5237 (ite $x5238 true $x4629)) $x10073))))
-(let ((@x10183 (monotonicity @x10500 (= (or $x4134 (= $x5237 (ite $x5238 true $x4629))) $x10506))))
-(let ((@x10372 (trans @x10183 (rewrite (= $x10506 $x10506)) (= (or $x4134 (= $x5237 (ite $x5238 true $x4629))) $x10506))))
-(let ((@x10020 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!20) (or $x4134 (= $x5237 (ite $x5238 true $x4629)))) @x10372 $x10506)))
-(let ((?x4454 (pair$ v_b_v_G_1$ ?v0!20)))
-(let ((?x4455 (b_G$ ?x4454)))
-(let ((?x4507 (+ ?x254 ?x1907 ?x4455)))
-(let (($x4527 (<= ?x4507 0)))
-(let (($x8001 (= ?x4507 0)))
-(let ((?x9161 (+ ?x254 ?x4438 ?x4455)))
-(let (($x9165 (>= ?x9161 0)))
-(let ((?x4456 (* (- 1) ?x4455)))
-(let ((?x4457 (+ b_Infinity$ ?x4456)))
-(let (($x4458 (<= ?x4457 0)))
-(let (($x8810 (or $x4458 $x9165)))
-(let (($x8814 (not $x8810)))
-(let (($x8919 (or $x8814 $x4420)))
-(let (($x8679 (or $x3678 $x8814 $x4420)))
-(let (($x4463 (or (not (or $x4458 (<= (+ ?x4413 ?x1168 ?x4456) 0))) $x4420)))
-(let (($x9386 (or $x3678 $x4463)))
-(let ((@x9164 (monotonicity (rewrite (= (+ ?x4413 ?x1168 ?x4456) (+ ?x1168 ?x4413 ?x4456))) (= (<= (+ ?x4413 ?x1168 ?x4456) 0) (<= (+ ?x1168 ?x4413 ?x4456) 0)))))
-(let ((@x8891 (trans @x9164 (rewrite (= (<= (+ ?x1168 ?x4413 ?x4456) 0) $x9165)) (= (<= (+ ?x4413 ?x1168 ?x4456) 0) $x9165))))
-(let ((@x8813 (monotonicity @x8891 (= (or $x4458 (<= (+ ?x4413 ?x1168 ?x4456) 0)) $x8810))))
-(let ((@x8815 (monotonicity @x8813 (= (not (or $x4458 (<= (+ ?x4413 ?x1168 ?x4456) 0))) $x8814))))
-(let ((@x9295 (monotonicity (monotonicity @x8815 (= $x4463 $x8919)) (= $x9386 (or $x3678 $x8919)))))
-(let ((@x9441 (mp ((_ quant-inst ?v0!20) $x9386) (trans @x9295 (rewrite (= (or $x3678 $x8919) $x8679)) (= $x9386 $x8679)) $x8679)))
-(let ((@x9984 (unit-resolution (def-axiom (or $x8810 (not $x4458))) (hypothesis $x8814) (not $x4458))))
-(let ((@x9985 (unit-resolution (def-axiom (or $x8810 (not $x9165))) (hypothesis $x8814) (not $x9165))))
-(let (($x8926 (or $x4458 $x9165 $x8001)))
-(let (($x8928 (or $x3670 $x4458 $x9165 $x8001)))
-(let (($x4460 (<= (+ ?x4413 ?x1168 ?x4456) 0)))
-(let (($x4506 (or $x4458 $x4460 (= (+ ?x254 ?x4455 ?x1907) 0))))
-(let (($x8929 (or $x3670 $x4506)))
-(let ((@x8925 (monotonicity (rewrite (= (+ ?x254 ?x4455 ?x1907) ?x4507)) (= (= (+ ?x254 ?x4455 ?x1907) 0) $x8001))))
-(let ((@x8953 (monotonicity (monotonicity @x8891 @x8925 (= $x4506 $x8926)) (= $x8929 (or $x3670 $x8926)))))
-(let ((@x8682 (mp ((_ quant-inst ?v0!20) $x8929) (trans @x8953 (rewrite (= (or $x3670 $x8926) $x8928)) (= $x8929 $x8928)) $x8928)))
-(let ((@x9987 (unit-resolution (unit-resolution @x8682 @x4789 $x8926) @x9985 @x9984 (hypothesis (not $x8001)) false)))
-(let ((@x10276 (unit-resolution (lemma @x9987 (or $x8810 $x8001)) (unit-resolution (unit-resolution @x9441 @x4803 $x8919) @x10024 $x8814) $x8001)))
-(let ((?x4401 (+ ?x1906 ?x3064)))
-(let (($x6992 (<= ?x4401 0)))
-(let ((?x4566 (+ ?x1906 ?x3064 ?x4456)))
-(let (($x6987 (= ?x4566 0)))
-(let (($x4590 (>= ?x4566 0)))
-(let ((@x9966 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x4527) $x4590 (not $x3906))) @x6160 (or (not $x4527) $x4590))))
-(let (($x4589 (<= ?x4566 0)))
-(let (($x4181 (>= ?x3063 0)))
-(let (($x6279 (or $x3703 $x4181)))
-(let ((@x6374 ((_ quant-inst v_b_v_G_1$) $x6279)))
-(let ((@x9257 (unit-resolution @x6374 (unit-resolution (def-axiom (or $x3756 $x3698)) @x8979 $x3698) $x4181)))
-(let (($x4146 (fun_app$ v_b_Visited_G_2$ v_b_v_G_1$)))
-(let (($x3097 (fun_app$ ?x260 v_b_v_G_1$)))
-(let (($x3456 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(! (= (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v1) ?v2) :pattern ( (fun_upd$ ?v0 ?v1 ?v2) ) :qid k!33))
-))
-(let (($x55 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(! (= (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v1) ?v2) :qid k!33))
-))
-(let (($x52 (= (fun_app$ (fun_upd$ ?2 ?1 ?0) ?1) ?0)))
-(let (($x50 (forall ((?v0 B_Vertex_bool_fun$) (?v1 B_Vertex$) (?v2 Bool) )(! (= (fun_app$ (fun_upd$ ?v0 ?v1 ?v2) ?v1) ?v2) :qid k!33))
-))
-(let ((@x54 (rewrite (= (= (fun_app$ (fun_upd$ ?2 ?1 ?0) ?1) ?0) $x52))))
-(let ((@x1427 (mp~ (mp (asserted $x50) (quant-intro @x54 (= $x50 $x55)) $x55) (nnf-pos (refl (~ $x52 $x52)) (~ $x55 $x55)) $x55)))
-(let ((@x3461 (mp @x1427 (quant-intro (refl (= $x52 $x52)) (= $x55 $x3456)) $x3456)))
-(let (($x4383 (or (not $x3456) $x3097)))
-(let ((@x4480 (monotonicity (rewrite (= (= $x3097 true) $x3097)) (= (or (not $x3456) (= $x3097 true)) $x4383))))
-(let ((@x4483 (trans @x4480 (rewrite (= $x4383 $x4383)) (= (or (not $x3456) (= $x3097 true)) $x4383))))
-(let ((@x4484 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true) (or (not $x3456) (= $x3097 true))) @x4483 $x4383)))
-(let ((@x9972 (mp (unit-resolution @x4484 @x3461 $x3097) (monotonicity @x6739 (= $x3097 $x4146)) $x4146)))
-(let ((@x5439 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x4590 $x4589)) (hypothesis (not $x4589)) $x4590)))
-(let (($x4147 (not $x4146)))
-(let (($x5371 (or $x3720 $x4147 $x4458 $x4589)))
-(let ((?x5354 (+ ?x4455 ?x3063 ?x1907)))
-(let (($x5355 (>= ?x5354 0)))
-(let (($x5358 (or $x4147 $x4458 $x5355)))
-(let (($x5372 (or $x3720 $x5358)))
-(let ((@x5363 (monotonicity (rewrite (= ?x5354 (+ ?x1907 ?x3063 ?x4455))) (= $x5355 (>= (+ ?x1907 ?x3063 ?x4455) 0)))))
-(let ((@x5367 (trans @x5363 (rewrite (= (>= (+ ?x1907 ?x3063 ?x4455) 0) $x4589)) (= $x5355 $x4589))))
-(let ((@x5376 (monotonicity (monotonicity @x5367 (= $x5358 (or $x4147 $x4458 $x4589))) (= $x5372 (or $x3720 (or $x4147 $x4458 $x4589))))))
-(let ((@x5380 (trans @x5376 (rewrite (= (or $x3720 (or $x4147 $x4458 $x4589)) $x5371)) (= $x5372 $x5371))))
-(let ((@x5381 (mp ((_ quant-inst ?v0!20 v_b_v_G_1$) $x5372) @x5380 $x5371)))
-(let ((@x5443 (unit-resolution @x5381 (hypothesis $x3715) (hypothesis $x4146) (hypothesis (not $x4589)) $x4458)))
-(let ((@x5447 (lemma ((_ th-lemma arith farkas 1 1 1 1) @x5443 (hypothesis $x4181) @x5439 (hypothesis $x1910) false) (or $x4589 (not $x4181) $x1909 $x3720 $x4147))))
-(let ((@x9976 (unit-resolution (unit-resolution @x5447 @x9972 (or $x4589 (not $x4181) $x1909 $x3720)) @x9257 (or $x4589 $x1909 $x3720))))
-(let ((@x9977 (unit-resolution @x9976 (unit-resolution (def-axiom (or $x3732 $x3715)) @x9455 $x3715) @x9475 $x4589)))
-(let ((@x9991 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x6987 (not $x4589) (not $x4590))) @x9977 (or $x6987 (not $x4590)))))
-(let ((@x9992 (unit-resolution @x9991 (unit-resolution @x9966 (hypothesis $x4527) $x4590) $x6987)))
-(let (($x7023 (not $x6987)))
-(let (($x6921 (or $x3729 $x6992 $x4147 $x7023)))
-(let (($x4536 (>= (+ ?x3063 ?x1907) 0)))
-(let (($x4548 (or $x4536 $x4147 (not (= (+ ?x3063 ?x1907 ?x4455) 0)))))
-(let (($x8524 (or $x3729 $x4548)))
-(let ((@x7245 (monotonicity (rewrite (= (+ ?x3063 ?x1907 ?x4455) (+ ?x1907 ?x3063 ?x4455))) (= (= (+ ?x3063 ?x1907 ?x4455) 0) (= (+ ?x1907 ?x3063 ?x4455) 0)))))
-(let ((@x7022 (trans @x7245 (rewrite (= (= (+ ?x1907 ?x3063 ?x4455) 0) $x6987)) (= (= (+ ?x3063 ?x1907 ?x4455) 0) $x6987))))
-(let ((@x7049 (monotonicity (rewrite (= (+ ?x3063 ?x1907) (+ ?x1907 ?x3063))) (= $x4536 (>= (+ ?x1907 ?x3063) 0)))))
-(let ((@x8373 (trans @x7049 (rewrite (= (>= (+ ?x1907 ?x3063) 0) $x6992)) (= $x4536 $x6992))))
-(let ((@x7936 (monotonicity @x8373 (monotonicity @x7022 (= (not (= (+ ?x3063 ?x1907 ?x4455) 0)) $x7023)) (= $x4548 (or $x6992 $x4147 $x7023)))))
-(let ((@x8581 (trans (monotonicity @x7936 (= $x8524 (or $x3729 (or $x6992 $x4147 $x7023)))) (rewrite (= (or $x3729 (or $x6992 $x4147 $x7023)) $x6921)) (= $x8524 $x6921))))
-(let ((@x8053 (mp ((_ quant-inst v_b_v_G_1$) $x8524) @x8581 $x6921)))
-(let ((@x9995 (unit-resolution @x8053 (unit-resolution (def-axiom (or $x3732 $x3724)) @x9455 $x3724) @x9972 (or $x6992 $x7023))))
-(let (($x5406 (<= ?x4455 0)))
-(let (($x5407 (not $x5406)))
-(let (($x5405 (= v_b_v_G_1$ ?v0!20)))
-(let (($x5409 (not $x5405)))
-(let ((@x10003 (monotonicity (symm (commutativity (= $x5405 $x5238)) (= $x5238 $x5405)) (= (not $x5238) $x5409))))
-(let (($x5408 (or $x5405 $x5407)))
-(let (($x3099 (not $x3475)))
-(let (($x9955 (or $x3099 $x5405 $x5407)))
-(let ((@x9962 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or $x3099 $x5408)) (rewrite (= (or $x3099 $x5408) $x9955)) $x9955)))
-(let ((@x10006 (unit-resolution (unit-resolution @x9962 @x3480 $x5408) (mp (hypothesis (not $x5238)) @x10003 $x5409) $x5407)))
-(let ((@x10007 ((_ th-lemma arith farkas -1 -1 1 1) @x6160 @x10006 (hypothesis $x4527) (unit-resolution @x9995 @x9992 $x6992) false)))
-(let ((@x10279 (unit-resolution (lemma @x10007 (or (not $x4527) $x5238)) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8001) $x4527)) @x10276 $x4527) $x5238)))
-(let ((@x10164 (unit-resolution (def-axiom (or (not $x10073) $x5237 (not $x10274))) (unit-resolution (def-axiom (or $x10274 (not $x5238))) @x10279 $x10274) (or (not $x10073) $x5237))))
-(unit-resolution (unit-resolution @x10164 (unit-resolution @x10020 @x3468 $x10073) $x5237) @x10120 false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
-
-8ec9d30fc9fdbc0ea292e0fdf148a6230c16dbca 2924 0
-unsat
-((set-logic <null>)
-(declare-fun ?v0!15 () Int)
-(declare-fun ?v0!14 () Int)
-(declare-fun ?v0!13 () Int)
-(proof
-(let ((?x10076 (b_S_array$ b_T_T_u1$ v_b_P_H_len$)))
-(let ((?x22595 (b_S_ptr$ ?x10076 v_b_P_H_arr$)))
-(let ((?x24598 (b_S_idx$ ?x22595 v_b_L_H_p_G_0$ b_T_T_u1$)))
-(let ((?x10272 (b_S_typemap$ v_b_S_s$)))
-(let ((?x24302 (b_S_select_o_tm$ ?x10272 ?x24598)))
-(let ((?x24605 (b_S_ts_n_emb$ ?x24302)))
-(let (($x24606 (= ?x24605 ?x22595)))
-(let (($x24611 (b_S_typed$ v_b_S_s$ ?x24598)))
-(let (($x24614 (not $x24611)))
-(let (($x24608 (b_S_ts_n_is_n_volatile$ ?x24302)))
-(let (($x24607 (not $x24606)))
-(let (($x24615 (or $x24607 $x24608 (not (b_S_ts_n_is_n_array_n_elt$ ?x24302)) $x24614)))
-(let (($x24616 (not $x24615)))
-(let (($x11901 (>= v_b_L_H_p_G_0$ 0)))
-(let (($x20030 (forall ((?v0 Int) )(! (let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x10238 (= ?x10163 v_b_S_result_G_0$)))
-(let (($x11800 (>= (+ ?v0 (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x12168 (<= ?v0 4294967295)))
-(let (($x16553 (not $x12168)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x3763 (not $x2815)))
-(or $x3763 $x16553 $x11800 (not $x10238))))))))) :pattern ( (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$) ) :qid k!704))
-))
-(let (($x20035 (not $x20030)))
-(let (($x20022 (forall ((?v0 Int) )(! (let ((?x11816 (* (- 1) v_b_S_result_G_0$)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11818 (<= (+ ?x10163 ?x11816) 0)))
-(let (($x11800 (>= (+ ?v0 (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x12168 (<= ?v0 4294967295)))
-(let (($x16553 (not $x12168)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x3763 (not $x2815)))
-(or $x3763 $x16553 $x11800 $x11818))))))))) :pattern ( (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$) ) :qid k!704))
-))
-(let (($x20027 (not $x20022)))
-(let (($x20038 (or $x20027 $x20035)))
-(let (($x20041 (not $x20038)))
-(let ((?x10078 (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$)))
-(let ((?x15743 (b_S_idx$ ?x10078 ?v0!15 b_T_T_u1$)))
-(let ((?x15744 (b_S_read_n_u1$ v_b_S_s$ ?x15743)))
-(let ((?x16029 (* (- 1) ?x15744)))
-(let (($x16031 (>= (+ v_b_S_result_G_0$ ?x16029) 0)))
-(let (($x16009 (<= (+ v_b_P_H_len$ (* (- 1) ?v0!15)) 0)))
-(let (($x15737 (<= ?v0!15 4294967295)))
-(let (($x19560 (not $x15737)))
-(let (($x15736 (>= ?v0!15 0)))
-(let (($x19559 (not $x15736)))
-(let (($x19575 (or $x19559 $x19560 $x16009 $x16031)))
-(let (($x19580 (not $x19575)))
-(let (($x20044 (or $x19580 $x20041)))
-(let (($x20047 (not $x20044)))
-(let (($x10222 (= v_b_S_result_G_0$ v_b_L_H_max_G_1$)))
-(let (($x19640 (not $x10222)))
-(let (($x10220 (= v_b_SL_H_witness_G_2$ v_b_SL_H_witness_G_0$)))
-(let (($x19639 (not $x10220)))
-(let (($x10218 (= v_b_L_H_p_G_2$ v_b_L_H_p_G_0$)))
-(let (($x19638 (not $x10218)))
-(let (($x10216 (= v_b_L_H_max_G_4$ v_b_L_H_max_G_1$)))
-(let (($x19637 (not $x10216)))
-(let (($x11432 (>= v_b_SL_H_witness_G_0$ 0)))
-(let (($x19501 (not $x11432)))
-(let (($x11429 (>= v_b_L_H_p_G_0$ 1)))
-(let (($x19474 (not $x11429)))
-(let (($x15729 (not b_S_position_n_marker$)))
-(let (($x20050 (or $x15729 $x19474 $x19501 $x19637 $x19638 $x19639 $x19640 $x20047)))
-(let (($x20053 (not $x20050)))
-(let (($x20056 (or $x15729 $x20053)))
-(let (($x20059 (not $x20056)))
-(let ((?x11484 (* (- 1) v_b_L_H_p_G_0$)))
-(let ((?x11485 (+ v_b_P_H_len$ ?x11484)))
-(let (($x11486 (<= ?x11485 0)))
-(let (($x11487 (not $x11486)))
-(let (($x20062 (or $x11487 $x19474 $x19501 $x20059)))
-(let (($x20065 (not $x20062)))
-(let ((?x10372 (b_S_idx$ ?x10078 v_b_SL_H_witness_G_1$ b_T_T_u1$)))
-(let ((?x10373 (b_S_read_n_u1$ v_b_S_s$ ?x10372)))
-(let (($x10374 (= ?x10373 v_b_L_H_max_G_3$)))
-(let (($x19411 (not $x10374)))
-(let (($x11647 (<= (+ v_b_P_H_len$ (* (- 1) v_b_SL_H_witness_G_1$)) 0)))
-(let (($x19412 (or $x11647 $x19411)))
-(let (($x19413 (not $x19412)))
-(let (($x19906 (forall ((?v0 Int) )(! (let ((?x11631 (* (- 1) v_b_L_H_max_G_3$)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11633 (<= (+ ?x10163 ?x11631) 0)))
-(let (($x11615 (>= (+ ?v0 (* (- 1) v_b_L_H_p_G_1$)) 0)))
-(let (($x12168 (<= ?v0 4294967295)))
-(let (($x16553 (not $x12168)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x3763 (not $x2815)))
-(or $x3763 $x16553 $x11615 $x11633))))))))) :pattern ( (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$) ) :qid k!704))
-))
-(let (($x19911 (not $x19906)))
-(let (($x19914 (or $x19911 $x19413)))
-(let (($x19917 (not $x19914)))
-(let ((?x15633 (b_S_idx$ ?x10078 ?v0!14 b_T_T_u1$)))
-(let ((?x15634 (b_S_read_n_u1$ v_b_S_s$ ?x15633)))
-(let ((?x15891 (* (- 1) ?x15634)))
-(let (($x15893 (>= (+ v_b_L_H_max_G_3$ ?x15891) 0)))
-(let (($x15871 (<= (+ v_b_L_H_p_G_1$ (* (- 1) ?v0!14)) 0)))
-(let (($x15627 (<= ?v0!14 4294967295)))
-(let (($x19366 (not $x15627)))
-(let (($x15626 (>= ?v0!14 0)))
-(let (($x19365 (not $x15626)))
-(let (($x19381 (or $x19365 $x19366 $x15871 $x15893)))
-(let (($x19386 (not $x19381)))
-(let (($x19920 (or $x19386 $x19917)))
-(let (($x19923 (not $x19920)))
-(let (($x11608 (>= (+ v_b_P_H_len$ (* (- 1) v_b_L_H_p_G_1$)) 0)))
-(let (($x11612 (not $x11608)))
-(let (($x19926 (or $x11612 $x19923)))
-(let (($x19929 (not $x19926)))
-(let (($x19932 (or $x11612 $x19929)))
-(let (($x19935 (not $x19932)))
-(let (($x11536 (>= v_b_SL_H_witness_G_1$ 0)))
-(let (($x19455 (not $x11536)))
-(let (($x11578 (>= v_b_L_H_p_G_1$ 2)))
-(let (($x19454 (not $x11578)))
-(let (($x10358 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_24$ b_H_loc_o_p$ v_b_L_H_p_G_1$ b_T_T_u4$)))
-(let (($x19453 (not $x10358)))
-(let ((?x11581 (* (- 1) v_b_L_H_p_G_1$)))
-(let ((?x11582 (+ v_b_L_H_p_G_0$ ?x11581)))
-(let (($x11580 (= ?x11582 (- 1))))
-(let (($x19452 (not $x11580)))
-(let (($x13353 (<= v_b_L_H_p_G_0$ 4294967294)))
-(let (($x15614 (not $x13353)))
-(let (($x11570 (>= v_b_L_H_p_G_0$ (- 1))))
-(let (($x15611 (not $x11570)))
-(let (($x19938 (or $x15611 $x15614 $x19452 $x19453 $x19454 $x19455 $x19935)))
-(let (($x19941 (not $x19938)))
-(let (($x19944 (or $x15611 $x15614 $x19941)))
-(let (($x19947 (not $x19944)))
-(let (($x10392 (= v_b_SL_H_witness_G_1$ v_b_SL_H_witness_G_0$)))
-(let (($x19513 (not $x10392)))
-(let (($x10391 (= v_b_L_H_max_G_3$ v_b_L_H_max_G_1$)))
-(let (($x19512 (not $x10391)))
-(let ((?x10320 (b_S_idx$ ?x10078 v_b_L_H_p_G_0$ b_T_T_u1$)))
-(let ((?x10327 (b_S_read_n_u1$ v_b_S_s$ ?x10320)))
-(let ((?x11517 (* (- 1) ?x10327)))
-(let (($x11516 (>= (+ v_b_L_H_max_G_1$ ?x11517) 0)))
-(let (($x11515 (not $x11516)))
-(let (($x19980 (or $x11515 $x19501 $x19512 $x19513 $x19474 $x19455 $x19947)))
-(let (($x19983 (not $x19980)))
-(let (($x10340 (= v_b_SL_H_witness_G_1$ v_b_L_H_p_G_0$)))
-(let (($x19473 (not $x10340)))
-(let (($x10338 (= v_b_L_H_max_G_3$ v_b_L_H_max_G_2$)))
-(let (($x19472 (not $x10338)))
-(let (($x10335 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_24_o_47$ b_H_loc_o_witness$ v_b_L_H_p_G_0$ b_T_T_u4$)))
-(let (($x19471 (not $x10335)))
-(let (($x10334 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_23_o_7$ b_H_loc_o_max$ v_b_L_H_max_G_2$ b_T_T_u1$)))
-(let (($x19470 (not $x10334)))
-(let (($x10333 (= v_b_L_H_max_G_2$ ?x10327)))
-(let (($x19469 (not $x10333)))
-(let (($x10324 (b_S_thread_n_local$ v_b_S_s$ ?x10320)))
-(let (($x15599 (not $x10324)))
-(let (($x10321 (b_S_is$ ?x10320 b_T_T_u1$)))
-(let (($x15590 (not $x10321)))
-(let (($x19950 (or $x15590 $x15599 $x19469 $x19470 $x19471 $x19472 $x19473 $x19474 $x19455 $x19947)))
-(let (($x19953 (not $x19950)))
-(let (($x19956 (or $x15590 $x15599 $x19953)))
-(let (($x19959 (not $x19956)))
-(let (($x10322 (b_S_typed$ v_b_S_s$ ?x10320)))
-(let (($x15593 (not $x10322)))
-(let (($x19962 (or $x15590 $x15593 $x19959)))
-(let (($x19965 (not $x19962)))
-(let (($x19968 (or $x15590 $x15593 $x19965)))
-(let (($x19971 (not $x19968)))
-(let (($x19974 (or $x11516 $x19474 $x19501 $x19971)))
-(let (($x19977 (not $x19974)))
-(let (($x19986 (or $x19977 $x19983)))
-(let (($x19989 (not $x19986)))
-(let (($x19992 (or $x15590 $x15599 $x19474 $x19501 $x19989)))
-(let (($x19995 (not $x19992)))
-(let (($x19998 (or $x15590 $x15599 $x19995)))
-(let (($x20001 (not $x19998)))
-(let (($x20004 (or $x15590 $x15593 $x20001)))
-(let (($x20007 (not $x20004)))
-(let (($x20010 (or $x15590 $x15593 $x20007)))
-(let (($x20013 (not $x20010)))
-(let (($x20016 (or $x11486 $x19474 $x19501 $x20013)))
-(let (($x20019 (not $x20016)))
-(let (($x20068 (or $x20019 $x20065)))
-(let (($x20071 (not $x20068)))
-(let ((?x2238 (b_S_ptr_n_to$ b_T_T_u1$)))
-(let (($x10296 (b_S_local_n_value_n_is_n_ptr$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_arr$ ?x10078 ?x2238)))
-(let (($x19683 (not $x10296)))
-(let ((?x10105 (b_S_ptr_n_to_n_int$ ?x10078)))
-(let (($x10295 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_arr$ ?x10105 ?x2238)))
-(let (($x19682 (not $x10295)))
-(let (($x10294 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_len$ v_b_P_H_len$ b_T_T_u4$)))
-(let (($x19681 (not $x10294)))
-(let (($x10293 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_max$ v_b_L_H_max_G_1$ b_T_T_u1$)))
-(let (($x19680 (not $x10293)))
-(let (($x10292 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_witness$ v_b_SL_H_witness_G_0$ b_T_T_u4$)))
-(let (($x19679 (not $x10292)))
-(let (($x10291 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_3$ b_H_loc_o_p$ v_b_L_H_p_G_0$ b_T_T_u4$)))
-(let (($x19678 (not $x10291)))
-(let (($x10097 (b_S_full_n_stop$ v_b_S_s$)))
-(let (($x19677 (not $x10097)))
-(let (($x10204 (b_S_good_n_state_n_ext$ b_H_tok_S_1_T_16_o_3$ v_b_S_s$)))
-(let (($x19676 (not $x10204)))
-(let (($x10284 (b_S_call_n_transition$ v_b_S_s$ v_b_S_s$)))
-(let (($x19675 (not $x10284)))
-(let ((?x10190 (b_S_idx$ ?x10078 v_b_SL_H_witness_G_0$ b_T_T_u1$)))
-(let ((?x10191 (b_S_read_n_u1$ v_b_S_s$ ?x10190)))
-(let (($x10192 (= ?x10191 v_b_L_H_max_G_1$)))
-(let (($x19674 (not $x10192)))
-(let (($x11867 (<= (+ v_b_P_H_len$ (* (- 1) v_b_SL_H_witness_G_0$)) 0)))
-(let (($x19898 (forall ((?v0 Int) )(! (let ((?x11887 (* (- 1) v_b_L_H_max_G_1$)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11889 (<= (+ ?x10163 ?x11887) 0)))
-(let (($x11871 (>= (+ ?v0 (* (- 1) v_b_L_H_p_G_0$)) 0)))
-(let (($x12168 (<= ?v0 4294967295)))
-(let (($x16553 (not $x12168)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x3763 (not $x2815)))
-(or $x3763 $x16553 $x11871 $x11889))))))))) :pattern ( (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$) ) :qid k!704))
-))
-(let (($x19903 (not $x19898)))
-(let (($x11898 (>= ?x11485 0)))
-(let (($x19672 (not $x11898)))
-(let (($x13326 (<= v_b_L_H_p_G_0$ 4294967295)))
-(let (($x19671 (not $x13326)))
-(let (($x19670 (not $x11901)))
-(let (($x13315 (<= v_b_SL_H_witness_G_0$ 4294967295)))
-(let (($x19669 (not $x13315)))
-(let (($x13304 (<= v_b_L_H_max_G_1$ 255)))
-(let (($x19668 (not $x13304)))
-(let (($x11911 (>= v_b_L_H_max_G_1$ 0)))
-(let (($x19667 (not $x11911)))
-(let ((?x10137 (b_S_idx$ ?x10078 0 b_T_T_u1$)))
-(let ((?x10144 (b_S_read_n_u1$ v_b_S_s$ ?x10137)))
-(let (($x10167 (= ?x10144 v_b_L_H_max_G_0$)))
-(let (($x15548 (not $x10167)))
-(let (($x11259 (<= v_b_P_H_len$ 0)))
-(let (($x20074 (or $x11259 $x15548 $x19667 $x19668 $x19669 $x19670 $x19671 $x19672 $x19903 $x11867 $x19674 $x19675 $x19676 $x19677 $x19678 $x19679 $x19680 $x19681 $x19682 $x19683 $x19474 $x19501 $x20071)))
-(let (($x20077 (not $x20074)))
-(let (($x10145 (= v_b_L_H_max_G_0$ ?x10144)))
-(let (($x20080 (or $x11259 $x15548 $x20077)))
-(let (($x20083 (not $x20080)))
-(let (($x19890 (forall ((?v0 Int) )(! (let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11404 (>= (+ v_b_L_H_max_G_0$ (* (- 1) ?x10163)) 0)))
-(let (($x11388 (>= ?v0 1)))
-(let (($x12168 (<= ?v0 4294967295)))
-(let (($x16553 (not $x12168)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x3763 (not $x2815)))
-(or $x3763 $x16553 $x11388 $x11404)))))))) :pattern ( (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$) ) :qid k!704))
-))
-(let (($x19895 (not $x19890)))
-(let (($x20086 (or $x19895 $x20083)))
-(let (($x20089 (not $x20086)))
-(let ((?x15529 (b_S_idx$ ?x10078 ?v0!13 b_T_T_u1$)))
-(let ((?x15530 (b_S_read_n_u1$ v_b_S_s$ ?x15529)))
-(let ((?x15531 (* (- 1) ?x15530)))
-(let (($x15533 (>= (+ v_b_L_H_max_G_0$ ?x15531) 0)))
-(let (($x15525 (>= ?v0!13 1)))
-(let (($x15524 (<= ?v0!13 4294967295)))
-(let (($x19298 (not $x15524)))
-(let (($x15523 (>= ?v0!13 0)))
-(let (($x19297 (not $x15523)))
-(let (($x19313 (or $x19297 $x19298 $x15525 $x15533)))
-(let (($x19318 (not $x19313)))
-(let (($x20092 (or $x19318 $x20089)))
-(let (($x20095 (not $x20092)))
-(let (($x11382 (>= v_b_P_H_len$ 1)))
-(let (($x11385 (not $x11382)))
-(let (($x20098 (or $x11385 $x20095)))
-(let (($x20101 (not $x20098)))
-(let (($x20104 (or $x11385 $x20101)))
-(let (($x20107 (not $x20104)))
-(let (($x10148 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_16_o_8$ b_H_loc_o_p$ 1 b_T_T_u4$)))
-(let (($x19727 (not $x10148)))
-(let (($x10147 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_14_o_3$ b_H_loc_o_witness$ 0 b_T_T_u4$)))
-(let (($x19726 (not $x10147)))
-(let (($x10146 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_12_o_3$ b_H_loc_o_max$ v_b_L_H_max_G_0$ b_T_T_u1$)))
-(let (($x19725 (not $x10146)))
-(let (($x19724 (not $x10145)))
-(let (($x10141 (b_S_thread_n_local$ v_b_S_s$ ?x10137)))
-(let (($x15511 (not $x10141)))
-(let (($x10138 (b_S_is$ ?x10137 b_T_T_u1$)))
-(let (($x15502 (not $x10138)))
-(let (($x20110 (or $x15502 $x15511 $x19724 $x19725 $x19726 $x19727 $x20107)))
-(let (($x20113 (not $x20110)))
-(let (($x20116 (or $x15502 $x15511 $x20113)))
-(let (($x20119 (not $x20116)))
-(let (($x10139 (b_S_typed$ v_b_S_s$ ?x10137)))
-(let (($x15505 (not $x10139)))
-(let (($x20122 (or $x15502 $x15505 $x20119)))
-(let (($x20125 (not $x20122)))
-(let ((?x22478 (b_S_select_o_tm$ ?x10272 ?x10137)))
-(let (($x22602 (b_S_ts_n_is_n_volatile$ ?x22478)))
-(let (($x22603 (or $x15505 $x22602)))
-(let (($x22604 (not $x22603)))
-(let ((?x10079 (b_S_ref$ ?x10078)))
-(let ((?x10080 (b_S_ptr$ ?x10076 ?x10079)))
-(let ((?x21014 (b_S_ref$ ?x10080)))
-(let ((?x21983 (b_S_ptr$ ?x10076 ?x21014)))
-(let ((?x22343 (b_S_domain$ v_b_S_s$ ?x21983)))
-(let (($x22596 (b_S_set_n_in$ ?x22595 ?x22343)))
-(let (($x21179 (= ?x10079 v_b_P_H_arr$)))
-(let (($x19835 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_ref$ (b_S_ptr$ ?v0 ?v1)) ?v1) :pattern ( (b_S_ptr$ ?v0 ?v1) ) :qid k!627))
-))
-(let (($x9655 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_ref$ (b_S_ptr$ ?v0 ?v1)) ?v1) :qid k!627))
-))
-(let (($x9654 (= (b_S_ref$ (b_S_ptr$ ?1 ?0)) ?0)))
-(let ((@x15356 (mp~ (asserted $x9655) (nnf-pos (refl (~ $x9654 $x9654)) (~ $x9655 $x9655)) $x9655)))
-(let ((@x19840 (mp @x15356 (quant-intro (refl (= $x9654 $x9654)) (= $x9655 $x19835)) $x19835)))
-(let (($x21152 (not $x19835)))
-(let (($x21184 (or $x21152 $x21179)))
-(let ((@x21185 ((_ quant-inst b_T_T_u1$ v_b_P_H_arr$) $x21184)))
-(let ((@x23445 (unit-resolution @x21185 @x19840 $x21179)))
-(let ((@x23680 (monotonicity (symm @x23445 (= v_b_P_H_arr$ ?x10079)) (= ?x22595 ?x10080))))
-(let (($x21990 (= ?x10080 ?x21983)))
-(let (($x10084 (b_S_is$ ?x10080 ?x10076)))
-(let (($x11245 (>= (+ b_S_max_o_u4$ (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x11243 (>= v_b_P_H_len$ 0)))
-(let (($x10439 (forall ((?v0 B_S_ptr$) )(! (let (($x10113 (b_S_in_n_writes_n_at$ v_b_H_wrTime_S_1_T_6_o_1$ ?v0)))
-(not $x10113)) :pattern ( (b_S_in_n_writes_n_at$ v_b_H_wrTime_S_1_T_6_o_1$ ?v0) ) :qid k!704))
-))
-(let ((?x10111 (b_S_current_n_timestamp$ v_b_S_s$)))
-(let (($x10112 (= v_b_H_wrTime_S_1_T_6_o_1$ ?x10111)))
-(let (($x10109 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_6_o_1$ b_H_loc_o_len$ v_b_P_H_len$ b_T_T_u4$)))
-(let (($x10107 (b_S_local_n_value_n_is_n_ptr$ v_b_S_s$ b_H_tok_S_1_T_6_o_1$ b_H_loc_o_arr$ ?x10078 ?x2238)))
-(let (($x10106 (b_S_local_n_value_n_is$ v_b_S_s$ b_H_tok_S_1_T_6_o_1$ b_H_loc_o_arr$ ?x10105 ?x2238)))
-(let (($x11256 (forall ((?v0 B_S_pure_n_function$) )(! (let (($x11251 (>= (+ (b_S_frame_n_level$ ?v0) (* (- 1) b_S_current_n_frame_n_level$)) 0)))
-(not $x11251)) :pattern ( (b_S_frame_n_level$ ?v0) ) :qid k!704))
-))
-(let (($x10096 (b_S_good_n_state_n_ext$ b_H_tok_S_1_T_6_o_1$ v_b_S_s$)))
-(let (($x10095 (b_S_function_n_entry$ v_b_S_s$)))
-(let (($x10089 (b_S_is_n_non_n_primitive$ ?x10076)))
-(let ((?x10086 (b_S_kind_n_of$ ?x10076)))
-(let (($x10087 (= ?x10086 b_S_kind_n_primitive$)))
-(let (($x10088 (not $x10087)))
-(let (($x10085 (b_S_typed$ v_b_S_s$ ?x10080)))
-(let ((?x10082 (b_S_owner$ v_b_S_s$ ?x10080)))
-(let (($x10083 (= ?x10082 b_S_me$)))
-(let (($x10081 (b_S_closed$ v_b_S_s$ ?x10080)))
-(let (($x11260 (not $x11259)))
-(let (($x11263 (>= v_b_P_H_len$ 1099511627776)))
-(let (($x11264 (not $x11263)))
-(let (($x11270 (>= (+ b_S_max_o_u4$ (* (- 1) v_b_SL_H_witness$)) 0)))
-(let (($x11268 (>= v_b_SL_H_witness$ 0)))
-(let (($x11278 (>= (+ b_S_max_o_u4$ (* (- 1) v_b_L_H_p$)) 0)))
-(let (($x11276 (>= v_b_L_H_p$ 0)))
-(let (($x11286 (>= (+ b_S_max_o_u1$ (* (- 1) v_b_L_H_max$)) 0)))
-(let (($x11284 (>= v_b_L_H_max$ 0)))
-(let (($x11342 (and $x11284 $x11286 $x11276 $x11278 $x11268 $x11270 $x11264 $x11260 $x10081 $x10083 $x10084 $x10085 $x10088 $x10089 $x10095 $x10096 $x10097 $x11256 $x10106 $x10107 $x10109 $x10112 $x10439 $x11243 $x11245)))
-(let (($x11844 (exists ((?v0 Int) )(! (let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x10238 (= ?x10163 v_b_S_result_G_0$)))
-(let (($x11800 (>= (+ ?v0 (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x11802 (not $x11800)))
-(let ((?x3113 (* (- 1) b_S_max_o_u4$)))
-(let ((?x3114 (+ ?v0 ?x3113)))
-(let (($x3115 (<= ?x3114 0)))
-(let (($x2815 (>= ?v0 0)))
-(and $x2815 $x3115 $x11802 $x10238))))))))) :qid k!704))
-))
-(let (($x11824 (forall ((?v0 Int) )(! (let ((?x11816 (* (- 1) v_b_S_result_G_0$)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11818 (<= (+ ?x10163 ?x11816) 0)))
-(let (($x11800 (>= (+ ?v0 (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x11802 (not $x11800)))
-(let ((?x3113 (* (- 1) b_S_max_o_u4$)))
-(let ((?x3114 (+ ?v0 ?x3113)))
-(let (($x3115 (<= ?x3114 0)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x11808 (and $x2815 $x3115 $x11802)))
-(let (($x11813 (not $x11808)))
-(or $x11813 $x11818)))))))))))) :qid k!704))
-))
-(let (($x11827 (not $x11824)))
-(let (($x11847 (or $x11827 $x11844)))
-(let (($x11850 (and $x11824 $x11847)))
-(let (($x11792 (and b_S_position_n_marker$ $x11429 $x11432 $x10216 $x10218 $x10220 $x10222)))
-(let (($x11797 (not $x11792)))
-(let (($x11853 (or $x11797 $x11850)))
-(let (($x11856 (and b_S_position_n_marker$ $x11853)))
-(let (($x11772 (and $x11486 $x11429 $x11432)))
-(let (($x11777 (not $x11772)))
-(let (($x11859 (or $x11777 $x11856)))
-(let (($x11648 (not $x11647)))
-(let (($x11651 (and $x11648 $x10374)))
-(let (($x11639 (forall ((?v0 Int) )(! (let ((?x11631 (* (- 1) v_b_L_H_max_G_3$)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x11633 (<= (+ ?x10163 ?x11631) 0)))
-(let (($x11615 (>= (+ ?v0 (* (- 1) v_b_L_H_p_G_1$)) 0)))
-(let (($x11617 (not $x11615)))
-(let ((?x3113 (* (- 1) b_S_max_o_u4$)))
-(let ((?x3114 (+ ?v0 ?x3113)))
-(let (($x3115 (<= ?x3114 0)))
-(let (($x2815 (>= ?v0 0)))
-(let (($x11623 (and $x2815 $x3115 $x11617)))
-(let (($x11628 (not $x11623)))
-(or $x11628 $x11633)))))))))))) :qid k!704))
-))
-(let (($x11642 (not $x11639)))
-(let (($x11654 (or $x11642 $x11651)))
-(let (($x11657 (and $x11639 $x11654)))
-(let (($x11660 (or $x11612 $x11657)))
-(let (($x11663 (and $x11608 $x11660)))
-(let ((?x11574 (+ b_S_max_o_u4$ ?x11484)))
-(let (($x11573 (>= ?x11574 1)))
-(let (($x11600 (and $x11570 $x11573 $x11580 $x10358 $x11578 $x11536)))
-(let (($x11605 (not $x11600)))
-(let (($x11666 (or $x11605 $x11663)))
-(let (($x11672 (and $x11570 $x11573 $x11666)))
-(let (($x11725 (and $x11516 $x11432 $x10391 $x10392 $x11429 $x11536)))
-(let (($x11730 (not $x11725)))
-(let (($x11733 (or $x11730 $x11672)))
-(let (($x11562 (and $x10321 $x10324 $x10333 $x10334 $x10335 $x10338 $x10340 $x11429 $x11536)))
-(let (($x11567 (not $x11562)))
-(let (($x11677 (or $x11567 $x11672)))
-(let (($x11683 (and $x10321 $x10324 $x11677)))
-(let (($x10323 (and $x10321 $x10322)))
-(let (($x11001 (not $x10323)))
-(let (($x11688 (or $x11001 $x11683)))
-(let (($x11694 (and $x10321 $x10322 $x11688)))
-(let (($x11527 (and $x11515 $x11429 $x11432)))
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-(let (($x11699 (or $x11532 $x11694)))
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-(let (($x11476 (and $x10284 $x10204 $x10097 $x10291 $x10292 $x10293 $x10294 $x10295 $x10296 $x11429 $x11432)))
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-(let ((?x3114 (+ ?v0 ?x3113)))
-(let (($x3115 (<= ?x3114 0)))
-(let (($x2815 (>= ?v0 0)))
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-(let (($x11884 (not $x11879)))
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-(let (($x2815 (>= ?v0 0)))
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-(let (($x11987 (and $x11411 $x11984)))
-(let (($x11990 (or $x11385 $x11987)))
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-(let (($x12002 (and $x10138 $x10141 $x11996)))
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-(let (($x10136 (b_S_in_n_domain_n_lab$ v_b_S_s$ ?x10080 ?x10080 b_l_H_public$)))
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-(let (($x2766 (<= 0 ?v0)))
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-(let (($x2766 (<= 0 ?v0)))
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-(let (($x10363 (and (= v_b_L_H_p_G_1$ (+ v_b_L_H_p_G_0$ 1)) (and $x10358 (and $x10360 true)))))
-(let (($x10355 (and (<= 0 (+ v_b_L_H_p_G_0$ 1)) (<= (+ v_b_L_H_p_G_0$ 1) b_S_max_o_u4$))))
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-(=> $x10260 $x10275))))) :pattern ( (b_S_select_o_tm$ (b_S_typemap$ v_b_S_s$) ?v0) ) :qid k!704))
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-(let ((?x10262 (b_S_select_o_mem$ ?x10261 ?v0)))
-(let (($x10264 (and (= ?x10262 ?x10262) $x10260)))
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-(=> (not $x10253) (not $x10253))) :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ v_b_S_s$) ?v0) ) :qid k!704))
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-(let (($x10176 (and $x10174 (<= v_b_SL_H_witness_G_0$ b_S_max_o_u4$))))
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-(=> $x10161 $x10164))))))) :qid k!704))
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-(let (($x10104 (forall ((?v0 B_S_pure_n_function$) )(! (let ((?x10100 (b_S_frame_n_level$ ?v0)))
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-(let (($x10073 (< v_b_P_H_len$ 1099511627776)))
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-(let (($x2766 (<= 0 ?v0)))
-(let (($x3098 (and $x2766 $x3097)))
-(let (($x10234 (and $x3098 $x10233)))
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-(let (($x10642 (and b_S_position_n_marker$ $x10639)))
-(let (($x10677 (or (not $x10642) $x10670)))
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-(let (($x10921 (and $x10913 $x10918)))
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-(let (($x10904 (<= 0 ?x10901)))
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-(let (($x10924 (and $x10910 $x10921)))
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-(let (($x10983 (and $x10910 $x10978)))
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-(let (($x10873 (and $x10340 $x10342)))
-(let (($x10876 (and $x10338 $x10873)))
-(let (($x10886 (and $x10181 $x10876)))
-(let (($x10889 (and $x10335 $x10886)))
-(let (($x10892 (and $x10334 $x10889)))
-(let (($x10895 (and $x10333 $x10892)))
-(let (($x10898 (and $x10325 $x10895)))
-(let (($x10990 (or (not $x10898) $x10983)))
-(let (($x10995 (and $x10325 $x10990)))
-(let (($x11002 (or $x11001 $x10995)))
-(let (($x11007 (and $x10323 $x11002)))
-(let (($x11014 (or (not (and $x10182 (and (< v_b_L_H_max_G_1$ ?x10327) $x10182))) $x11007)))
-(let (($x11070 (and $x11014 $x11065)))
-(let (($x11077 (or (not $x10326) $x11070)))
-(let (($x11082 (and $x10325 $x11077)))
-(let (($x11088 (or $x11001 $x11082)))
-(let (($x11093 (and $x10323 $x11088)))
-(let (($x11100 (or (not (and $x10182 (and (< v_b_L_H_p_G_0$ v_b_P_H_len$) $x10182))) $x11093)))
-(let (($x11139 (and $x11100 $x11134)))
-(let (($x10789 (and $x10297 $x10182)))
-(let (($x10792 (and $x10294 $x10789)))
-(let (($x10795 (and $x10293 $x10792)))
-(let (($x10798 (and $x10292 $x10795)))
-(let (($x10801 (and $x10291 $x10798)))
-(let (($x10804 (and $x10205 $x10801)))
-(let (($x10807 (and $x10286 $x10804)))
-(let (($x10810 (and $x10286 $x10807)))
-(let (($x10813 (and $x10182 $x10810)))
-(let (($x10823 (and $x10182 $x10813)))
-(let (($x10833 (and $x10182 $x10823)))
-(let (($x11146 (or (not $x10833) $x11139)))
-(let (($x10529 (forall ((?v0 Int) )(! (let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x10186 (<= ?x10163 v_b_L_H_max_G_1$)))
-(let (($x3097 (<= ?v0 b_S_max_o_u4$)))
-(let (($x2766 (<= 0 ?v0)))
-(let (($x3098 (and $x2766 $x3097)))
-(let (($x10185 (and $x3098 (< ?v0 v_b_L_H_p_G_0$))))
-(or (not $x10185) $x10186))))))) :qid k!704))
-))
-(let (($x10532 (and $x10529 $x10194)))
-(let (($x10535 (and $x10183 $x10532)))
-(let (($x10538 (and $x10182 $x10535)))
-(let (($x10541 (and $x10180 $x10538)))
-(let (($x10544 (and $x10176 $x10541)))
-(let (($x10547 (and $x10172 $x10544)))
-(let (($x10557 (and $x10168 $x10547)))
-(let (($x11162 (or (not $x10557) $x11146)))
-(let (($x11167 (and $x10168 $x11162)))
-(let (($x10522 (forall ((?v0 Int) )(! (let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$) ?v0 b_T_T_u1$))))
-(let (($x10164 (<= ?x10163 v_b_L_H_max_G_0$)))
-(let (($x3097 (<= ?v0 b_S_max_o_u4$)))
-(let (($x2766 (<= 0 ?v0)))
-(let (($x3098 (and $x2766 $x3097)))
-(let (($x10161 (and $x3098 (< ?v0 1))))
-(or (not $x10161) $x10164))))))) :qid k!704))
-))
-(let (($x11174 (or (not $x10522) $x11167)))
-(let (($x11179 (and $x10522 $x11174)))
-(let (($x11186 (or (not $x10159) $x11179)))
-(let (($x11191 (and $x10159 $x11186)))
-(let (($x10150 (<= 0 0)))
-(let (($x10497 (and $x10149 $x10150)))
-(let (($x10500 (and $x10149 $x10497)))
-(let (($x10503 (and $x10148 $x10500)))
-(let (($x10506 (and $x10147 $x10503)))
-(let (($x10509 (and $x10146 $x10506)))
-(let (($x10512 (and $x10145 $x10509)))
-(let (($x10515 (and $x10142 $x10512)))
-(let (($x11198 (or (not $x10515) $x11191)))
-(let (($x11203 (and $x10142 $x11198)))
-(let (($x11210 (or $x11209 $x11203)))
-(let (($x11215 (and $x10140 $x11210)))
-(let (($x11222 (or $x11221 $x11215)))
-(let (($x11227 (and $x10136 $x11222)))
-(let (($x10442 (and $x10439 $x10119)))
-(let (($x10445 (and $x10112 $x10442)))
-(let (($x10448 (and $x10109 $x10445)))
-(let (($x10451 (and $x10108 $x10448)))
-(let (($x10454 (and $x10104 $x10451)))
-(let (($x10457 (and $x10098 $x10454)))
-(let (($x10460 (and $x10095 $x10457)))
-(let (($x10470 (and $x10094 $x10460)))
-(let (($x10473 (and $x10074 $x10470)))
-(let (($x10476 (and $x10073 $x10473)))
-(let (($x10479 (and $x10071 $x10476)))
-(let (($x10482 (and $x10067 $x10479)))
-(let (($x10485 (and $x10063 $x10482)))
-(let (($x11234 (or (not $x10485) $x11227)))
-(let ((?x10163 (b_S_read_n_u1$ v_b_S_s$ (b_S_idx$ ?x10078 ?0 b_T_T_u1$))))
-(let (($x10238 (= ?x10163 v_b_S_result_G_0$)))
-(let (($x11800 (>= (+ ?0 (* (- 1) v_b_P_H_len$)) 0)))
-(let (($x11802 (not $x11800)))
-(let ((?x3113 (* (- 1) b_S_max_o_u4$)))
-(let ((?x3114 (+ ?0 ?x3113)))
-(let (($x3115 (<= ?x3114 0)))
-(let (($x2815 (>= ?0 0)))
-(let (($x11839 (and $x2815 $x3115 $x11802 $x10238)))
-(let (($x2766 (<= 0 ?0)))
-(let (($x10241 (and $x2766 (and (<= ?0 b_S_max_o_u4$) (and (< ?0 v_b_P_H_len$) $x10238)))))
-(let (($x11834 (= (and (<= ?0 b_S_max_o_u4$) (and (< ?0 v_b_P_H_len$) $x10238)) (and $x3115 (and $x11802 $x10238)))))
-(let ((@x11832 (monotonicity (rewrite (= (< ?0 v_b_P_H_len$) $x11802)) (= (and (< ?0 v_b_P_H_len$) $x10238) (and $x11802 $x10238)))))
-(let ((@x2814 (rewrite (= $x2766 $x2815))))
-(let ((@x11838 (monotonicity @x2814 (monotonicity (rewrite (= (<= ?0 b_S_max_o_u4$) $x3115)) @x11832 $x11834) (= $x10241 (and $x2815 (and $x3115 (and $x11802 $x10238)))))))
-(let ((@x11843 (trans @x11838 (rewrite (= (and $x2815 (and $x3115 (and $x11802 $x10238))) $x11839)) (= $x10241 $x11839))))
-(let (($x11818 (<= (+ ?x10163 (* (- 1) v_b_S_result_G_0$)) 0)))
-(let (($x11808 (and $x2815 $x3115 $x11802)))
-(let (($x11813 (not $x11808)))
-(let (($x11821 (or $x11813 $x11818)))
-(let (($x10235 (<= ?x10163 v_b_S_result_G_0$)))
-(let (($x10233 (< ?0 v_b_P_H_len$)))
-(let (($x3097 (<= ?0 b_S_max_o_u4$)))
-(let (($x3098 (and $x2766 $x3097)))
-(let (($x10234 (and $x3098 $x10233)))
-(let (($x10646 (or (not $x10234) $x10235)))
-(let ((@x3124 (monotonicity @x2814 (rewrite (= $x3097 $x3115)) (= $x3098 (and $x2815 $x3115)))))
-(let ((@x11807 (monotonicity @x3124 (rewrite (= $x10233 $x11802)) (= $x10234 (and (and $x2815 $x3115) $x11802)))))
-(let ((@x11812 (trans @x11807 (rewrite (= (and (and $x2815 $x3115) $x11802) $x11808)) (= $x10234 $x11808))))
-(let ((@x11823 (monotonicity (monotonicity @x11812 (= (not $x10234) $x11813)) (rewrite (= $x10235 $x11818)) (= $x10646 $x11821))))
-(let ((@x11829 (monotonicity (quant-intro @x11823 (= $x10649 $x11824)) (= (not $x10649) $x11827))))
-(let ((@x11852 (monotonicity (quant-intro @x11823 (= $x10649 $x11824)) (monotonicity @x11829 (quant-intro @x11843 (= $x10242 $x11844)) (= $x10665 $x11847)) (= $x10670 $x11850))))
-(let (($x11434 (and $x11429 $x11432)))
-(let (($x11793 (= (and b_S_position_n_marker$ (and $x11434 (and $x11434 (and $x11434 $x10616)))) $x11792)))
-(let (($x11790 (= $x10642 (and b_S_position_n_marker$ (and $x11434 (and $x11434 (and $x11434 $x10616)))))))
-(let ((@x11430 (rewrite (= $x10181 $x11429))))
-(let ((@x11436 (monotonicity @x11430 (rewrite (= $x10174 $x11432)) (= $x10182 $x11434))))
-(let ((@x11785 (monotonicity @x11436 (monotonicity @x11436 (= $x10626 (and $x11434 $x10616))) (= $x10629 (and $x11434 (and $x11434 $x10616))))))
-(let ((@x11788 (monotonicity @x11436 @x11785 (= $x10639 (and $x11434 (and $x11434 (and $x11434 $x10616)))))))
-(let ((@x11799 (monotonicity (trans (monotonicity @x11788 $x11790) (rewrite $x11793) (= $x10642 $x11792)) (= (not $x10642) $x11797))))
-(let ((@x11858 (monotonicity (monotonicity @x11799 @x11852 (= $x10677 $x11853)) (= $x10682 $x11856))))
-(let ((@x11768 (monotonicity (rewrite (= $x10410 $x11486)) @x11436 (= (and $x10410 $x10182) (and $x11486 $x11434)))))
-(let ((@x11771 (monotonicity @x11436 @x11768 (= (and $x10182 (and $x10410 $x10182)) (and $x11434 (and $x11486 $x11434))))))
-(let ((@x11776 (trans @x11771 (rewrite (= (and $x11434 (and $x11486 $x11434)) $x11772)) (= (and $x10182 (and $x10410 $x10182)) $x11772))))
-(let ((@x11861 (monotonicity (monotonicity @x11776 (= (not (and $x10182 (and $x10410 $x10182))) $x11777)) @x11858 (= $x11134 $x11859))))
-(let ((@x11653 (monotonicity (rewrite (= (< v_b_SL_H_witness_G_1$ v_b_P_H_len$) $x11648)) (= $x10375 $x11651))))
-(let (($x11633 (<= (+ ?x10163 (* (- 1) v_b_L_H_max_G_3$)) 0)))
-(let (($x11615 (>= (+ ?0 ?x11581) 0)))
-(let (($x11617 (not $x11615)))
-(let (($x11623 (and $x2815 $x3115 $x11617)))
-(let (($x11628 (not $x11623)))
-(let (($x11636 (or $x11628 $x11633)))
-(let (($x10368 (<= ?x10163 v_b_L_H_max_G_3$)))
-(let (($x10928 (or (not (and $x3098 (< ?0 v_b_L_H_p_G_1$))) $x10368)))
-(let ((@x11622 (monotonicity @x3124 (rewrite (= (< ?0 v_b_L_H_p_G_1$) $x11617)) (= (and $x3098 (< ?0 v_b_L_H_p_G_1$)) (and (and $x2815 $x3115) $x11617)))))
-(let ((@x11627 (trans @x11622 (rewrite (= (and (and $x2815 $x3115) $x11617) $x11623)) (= (and $x3098 (< ?0 v_b_L_H_p_G_1$)) $x11623))))
-(let ((@x11630 (monotonicity @x11627 (= (not (and $x3098 (< ?0 v_b_L_H_p_G_1$))) $x11628))))
-(let ((@x11641 (quant-intro (monotonicity @x11630 (rewrite (= $x10368 $x11633)) (= $x10928 $x11636)) (= $x10931 $x11639))))
-(let ((@x11656 (monotonicity (monotonicity @x11641 (= (not $x10931) $x11642)) @x11653 (= $x10954 $x11654))))
-(let ((@x11662 (monotonicity (monotonicity (rewrite (= $x10365 $x11608)) (= (not $x10365) $x11612)) (monotonicity @x11641 @x11656 (= $x10959 $x11657)) (= $x10966 $x11660))))
-(let (($x11601 (= (and (and $x11570 $x11573) (and $x11580 (and $x10358 (and $x11578 $x11536)))) $x11600)))
-(let (($x11598 (= $x10924 (and (and $x11570 $x11573) (and $x11580 (and $x10358 (and $x11578 $x11536)))))))
-(let ((@x11587 (monotonicity (rewrite (= (<= 2 v_b_L_H_p_G_1$) $x11578)) (rewrite (= $x10341 $x11536)) (= $x10360 (and $x11578 $x11536)))))
-(let ((@x11593 (monotonicity (rewrite (= $x10913 $x11580)) (monotonicity @x11587 (= $x10918 (and $x10358 (and $x11578 $x11536)))) (= $x10921 (and $x11580 (and $x10358 (and $x11578 $x11536)))))))
-(let ((@x11596 (monotonicity (rewrite (= $x10904 $x11570)) (rewrite (= $x10907 $x11573)) (= $x10910 (and $x11570 $x11573)))))
-(let ((@x11607 (monotonicity (trans (monotonicity @x11596 @x11593 $x11598) (rewrite $x11601) (= $x10924 $x11600)) (= (not $x10924) $x11605))))
-(let ((@x11668 (monotonicity @x11607 (monotonicity (rewrite (= $x10365 $x11608)) @x11662 (= $x10971 $x11663)) (= $x10978 $x11666))))
-(let ((@x11676 (trans (monotonicity @x11596 @x11668 (= $x10983 (and (and $x11570 $x11573) $x11666))) (rewrite (= (and (and $x11570 $x11573) $x11666) $x11672)) (= $x10983 $x11672))))
-(let (($x11716 (and $x11434 (and $x11434 (and $x11434 (and $x10391 (and $x10392 (and $x11429 $x11536))))))))
-(let (($x11714 (= $x11035 (and $x11434 (and $x11434 (and $x10391 (and $x10392 (and $x11429 $x11536))))))))
-(let ((@x11540 (monotonicity @x11430 (rewrite (= $x10341 $x11536)) (= $x10342 (and $x11429 $x11536)))))
-(let ((@x11709 (monotonicity (monotonicity @x11540 (= $x11019 (and $x10392 (and $x11429 $x11536)))) (= $x11022 (and $x10391 (and $x10392 (and $x11429 $x11536)))))))
-(let ((@x11712 (monotonicity @x11436 @x11709 (= $x11032 (and $x11434 (and $x10391 (and $x10392 (and $x11429 $x11536))))))))
-(let ((@x11721 (monotonicity (rewrite (= $x10390 $x11516)) (monotonicity @x11436 (monotonicity @x11436 @x11712 $x11714) (= $x11045 $x11716)) (= $x11048 (and $x11516 $x11716)))))
-(let ((@x11729 (trans (monotonicity @x11436 @x11721 (= $x11051 (and $x11434 (and $x11516 $x11716)))) (rewrite (= (and $x11434 (and $x11516 $x11716)) $x11725)) (= $x11051 $x11725))))
-(let ((@x11735 (monotonicity (monotonicity @x11729 (= (not $x11051) $x11730)) @x11676 (= $x11065 $x11733))))
-(let (($x11553 (and $x10334 (and $x10335 (and $x11429 (and $x10338 (and $x10340 (and $x11429 $x11536))))))))
-(let (($x11551 (= $x10889 (and $x10335 (and $x11429 (and $x10338 (and $x10340 (and $x11429 $x11536))))))))
-(let ((@x11546 (monotonicity (monotonicity @x11540 (= $x10873 (and $x10340 (and $x11429 $x11536)))) (= $x10876 (and $x10338 (and $x10340 (and $x11429 $x11536)))))))
-(let ((@x11549 (monotonicity @x11430 @x11546 (= $x10886 (and $x11429 (and $x10338 (and $x10340 (and $x11429 $x11536))))))))
-(let ((@x11558 (monotonicity (monotonicity (monotonicity @x11549 $x11551) (= $x10892 $x11553)) (= $x10895 (and $x10333 $x11553)))))
-(let ((@x11566 (trans (monotonicity @x11558 (= $x10898 (and $x10325 (and $x10333 $x11553)))) (rewrite (= (and $x10325 (and $x10333 $x11553)) $x11562)) (= $x10898 $x11562))))
-(let ((@x11679 (monotonicity (monotonicity @x11566 (= (not $x10898) $x11567)) @x11676 (= $x10990 $x11677))))
-(let ((@x11687 (trans (monotonicity @x11679 (= $x10995 (and $x10325 $x11677))) (rewrite (= (and $x10325 $x11677) $x11683)) (= $x10995 $x11683))))
-(let ((@x11693 (monotonicity (monotonicity @x11687 (= $x11002 $x11688)) (= $x11007 (and $x10323 $x11688)))))
-(let (($x10328 (< v_b_L_H_max_G_1$ ?x10327)))
-(let (($x10856 (and $x10328 $x10182)))
-(let (($x10859 (and $x10182 $x10856)))
-(let ((@x11523 (monotonicity (rewrite (= $x10328 $x11515)) @x11436 (= $x10856 (and $x11515 $x11434)))))
-(let ((@x11531 (trans (monotonicity @x11436 @x11523 (= $x10859 (and $x11434 (and $x11515 $x11434)))) (rewrite (= (and $x11434 (and $x11515 $x11434)) $x11527)) (= $x10859 $x11527))))
-(let ((@x11701 (monotonicity (monotonicity @x11531 (= (not $x10859) $x11532)) (trans @x11693 (rewrite (= (and $x10323 $x11688) $x11694)) (= $x11007 $x11694)) (= $x11014 $x11699))))
-(let ((@x11511 (trans (monotonicity @x11436 (= $x10326 (and $x10325 $x11434))) (rewrite (= (and $x10325 $x11434) $x11507)) (= $x10326 $x11507))))
-(let ((@x11741 (monotonicity (monotonicity @x11511 (= (not $x10326) $x11512)) (monotonicity @x11701 @x11735 (= $x11070 $x11736)) (= $x11077 $x11739))))
-(let ((@x11749 (trans (monotonicity @x11741 (= $x11082 (and $x10325 $x11739))) (rewrite (= (and $x10325 $x11739) $x11745)) (= $x11082 $x11745))))
-(let ((@x11755 (monotonicity (monotonicity @x11749 (= $x11088 $x11750)) (= $x11093 (and $x10323 $x11750)))))
-(let (($x11502 (= (not (and $x10182 (and (< v_b_L_H_p_G_0$ v_b_P_H_len$) $x10182))) $x11501)))
-(let (($x10316 (< v_b_L_H_p_G_0$ v_b_P_H_len$)))
-(let (($x10843 (and $x10316 $x10182)))
-(let (($x10846 (and $x10182 $x10843)))
-(let ((@x11492 (monotonicity (rewrite (= $x10316 $x11487)) @x11436 (= $x10843 (and $x11487 $x11434)))))
-(let ((@x11500 (trans (monotonicity @x11436 @x11492 (= $x10846 (and $x11434 (and $x11487 $x11434)))) (rewrite (= (and $x11434 (and $x11487 $x11434)) $x11496)) (= $x10846 $x11496))))
-(let ((@x11763 (monotonicity (monotonicity @x11500 $x11502) (trans @x11755 (rewrite (= (and $x10323 $x11750) $x11756)) (= $x11093 $x11756)) (= $x11100 $x11761))))
-(let (($x11452 (and $x10205 (and $x10291 (and $x10292 (and $x10293 (and $x10294 (and $x10297 $x11434))))))))
-(let (($x11458 (and true (and true $x10284))))
-(let (($x11477 (= (and $x11434 (and $x11434 (and $x11434 (and $x11458 (and $x11458 $x11452))))) $x11476)))
-(let (($x11474 (= $x10833 (and $x11434 (and $x11434 (and $x11434 (and $x11458 (and $x11458 $x11452))))))))
-(let (($x11450 (= $x10801 (and $x10291 (and $x10292 (and $x10293 (and $x10294 (and $x10297 $x11434))))))))
-(let ((@x11442 (monotonicity (monotonicity @x11436 (= $x10789 (and $x10297 $x11434))) (= $x10792 (and $x10294 (and $x10297 $x11434))))))
-(let ((@x11448 (monotonicity (monotonicity @x11442 (= $x10795 (and $x10293 (and $x10294 (and $x10297 $x11434))))) (= $x10798 (and $x10292 (and $x10293 (and $x10294 (and $x10297 $x11434))))))))
-(let (($x11419 (forall ((?v0 B_S_ptr$) )(! true :pattern ( (b_S_timestamp$ v_b_S_s$ ?v0) ) :qid k!704))
-))
-(let (($x11417 (= (<= (b_S_timestamp$ v_b_S_s$ ?0) (b_S_timestamp$ v_b_S_s$ ?0)) true)))
-(let ((@x11425 (trans (quant-intro (rewrite $x11417) (= $x10283 $x11419)) (elim-unused (= $x11419 true)) (= $x10283 true))))
-(let ((@x11460 (monotonicity (rewrite (= (<= ?x10111 ?x10111) true)) (monotonicity @x11425 (= (and $x10283 $x10284) (and true $x10284))) (= $x10286 $x11458))))
-(let ((@x11463 (monotonicity @x11460 (monotonicity (monotonicity @x11448 $x11450) (= $x10804 $x11452)) (= $x10807 (and $x11458 $x11452)))))
-(let ((@x11469 (monotonicity @x11436 (monotonicity @x11460 @x11463 (= $x10810 (and $x11458 (and $x11458 $x11452)))) (= $x10813 (and $x11434 (and $x11458 (and $x11458 $x11452)))))))
-(let ((@x11472 (monotonicity @x11436 @x11469 (= $x10823 (and $x11434 (and $x11434 (and $x11458 (and $x11458 $x11452))))))))
-(let ((@x11483 (monotonicity (trans (monotonicity @x11436 @x11472 $x11474) (rewrite $x11477) (= $x10833 $x11476)) (= (not $x10833) $x11481))))
-(let ((@x11967 (monotonicity @x11483 (monotonicity @x11763 @x11861 (= $x11139 $x11862)) (= $x11146 (or $x11481 $x11862)))))
-(let (($x11936 (and (and $x11901 $x11904) (and $x11434 (and $x11898 (and $x11895 (and (and $x11868 $x10192) $x11434)))))))
-(let (($x11951 (and $x11260 $x10167)))
-(let (($x11958 (= (and $x11951 (and (and $x11911 $x11914) (and (and $x11432 $x11907) $x11936))) $x11957)))
-(let (($x11955 (= $x10557 (and $x11951 (and (and $x11911 $x11914) (and (and $x11432 $x11907) $x11936))))))
-(let (($x11931 (= $x10538 (and $x11434 (and $x11898 (and $x11895 (and (and $x11868 $x10192) $x11434)))))))
-(let (($x11919 (= (and (< v_b_SL_H_witness_G_0$ v_b_P_H_len$) $x10192) (and $x11868 $x10192))))
-(let ((@x11920 (monotonicity (rewrite (= (< v_b_SL_H_witness_G_0$ v_b_P_H_len$) $x11868)) $x11919)))
-(let (($x11889 (<= (+ ?x10163 (* (- 1) v_b_L_H_max_G_1$)) 0)))
-(let (($x11871 (>= (+ ?0 ?x11484) 0)))
-(let (($x11873 (not $x11871)))
-(let (($x11879 (and $x2815 $x3115 $x11873)))
-(let (($x11884 (not $x11879)))
-(let (($x11892 (or $x11884 $x11889)))
-(let (($x10186 (<= ?x10163 v_b_L_H_max_G_1$)))
-(let (($x10526 (or (not (and $x3098 (< ?0 v_b_L_H_p_G_0$))) $x10186)))
-(let ((@x11878 (monotonicity @x3124 (rewrite (= (< ?0 v_b_L_H_p_G_0$) $x11873)) (= (and $x3098 (< ?0 v_b_L_H_p_G_0$)) (and (and $x2815 $x3115) $x11873)))))
-(let ((@x11883 (trans @x11878 (rewrite (= (and (and $x2815 $x3115) $x11873) $x11879)) (= (and $x3098 (< ?0 v_b_L_H_p_G_0$)) $x11879))))
-(let ((@x11886 (monotonicity @x11883 (= (not (and $x3098 (< ?0 v_b_L_H_p_G_0$))) $x11884))))
-(let ((@x11897 (quant-intro (monotonicity @x11886 (rewrite (= $x10186 $x11889)) (= $x10526 $x11892)) (= $x10529 $x11895))))
-(let ((@x11926 (monotonicity @x11897 (monotonicity @x11920 @x11436 (= $x10194 (and (and $x11868 $x10192) $x11434))) (= $x10532 (and $x11895 (and (and $x11868 $x10192) $x11434))))))
-(let ((@x11929 (monotonicity (rewrite (= $x10183 $x11898)) @x11926 (= $x10535 (and $x11898 (and $x11895 (and (and $x11868 $x10192) $x11434)))))))
-(let ((@x11935 (monotonicity (rewrite (= (<= 0 v_b_L_H_p_G_0$) $x11901)) (rewrite (= (<= v_b_L_H_p_G_0$ b_S_max_o_u4$) $x11904)) (= $x10180 (and $x11901 $x11904)))))
-(let ((@x11941 (monotonicity (rewrite (= $x10174 $x11432)) (rewrite (= (<= v_b_SL_H_witness_G_0$ b_S_max_o_u4$) $x11907)) (= $x10176 (and $x11432 $x11907)))))
-(let ((@x11944 (monotonicity @x11941 (monotonicity @x11935 (monotonicity @x11436 @x11929 $x11931) (= $x10541 $x11936)) (= $x10544 (and (and $x11432 $x11907) $x11936)))))
-(let ((@x11947 (monotonicity (rewrite (= (<= 0 v_b_L_H_max_G_1$) $x11911)) (rewrite (= (<= v_b_L_H_max_G_1$ b_S_max_o_u1$) $x11914)) (= $x10172 (and $x11911 $x11914)))))
-(let ((@x11950 (monotonicity @x11947 @x11944 (= $x10547 (and (and $x11911 $x11914) (and (and $x11432 $x11907) $x11936))))))
-(let ((@x11956 (monotonicity (monotonicity (rewrite (= $x10074 $x11260)) (= $x10168 $x11951)) @x11950 $x11955)))
-(let ((@x11964 (monotonicity (trans @x11956 (rewrite $x11958) (= $x10557 $x11957)) (= (not $x10557) $x11962))))
-(let ((@x11975 (trans (monotonicity @x11964 @x11967 (= $x11162 (or $x11962 (or $x11481 $x11862)))) (rewrite (= (or $x11962 (or $x11481 $x11862)) $x11971)) (= $x11162 $x11971))))
-(let ((@x11978 (monotonicity (monotonicity (rewrite (= $x10074 $x11260)) (= $x10168 $x11951)) @x11975 (= $x11167 (and $x11951 $x11971)))))
-(let (($x11404 (>= (+ v_b_L_H_max_G_0$ (* (- 1) ?x10163)) 0)))
-(let (($x11388 (>= ?0 1)))
-(let (($x11389 (not $x11388)))
-(let (($x11395 (and $x2815 $x3115 $x11389)))
-(let (($x11400 (not $x11395)))
-(let (($x11408 (or $x11400 $x11404)))
-(let (($x10164 (<= ?x10163 v_b_L_H_max_G_0$)))
-(let (($x10519 (or (not (and $x3098 (< ?0 1))) $x10164)))
-(let ((@x11394 (monotonicity @x3124 (rewrite (= (< ?0 1) $x11389)) (= (and $x3098 (< ?0 1)) (and (and $x2815 $x3115) $x11389)))))
-(let ((@x11399 (trans @x11394 (rewrite (= (and (and $x2815 $x3115) $x11389) $x11395)) (= (and $x3098 (< ?0 1)) $x11395))))
-(let ((@x11410 (monotonicity (monotonicity @x11399 (= (not (and $x3098 (< ?0 1))) $x11400)) (rewrite (= $x10164 $x11404)) (= $x10519 $x11408))))
-(let ((@x11416 (monotonicity (quant-intro @x11410 (= $x10522 $x11411)) (= (not $x10522) $x11414))))
-(let ((@x11986 (monotonicity @x11416 (trans @x11978 (rewrite (= (and $x11951 $x11971) $x11979)) (= $x11167 $x11979)) (= $x11174 $x11984))))
-(let ((@x11992 (monotonicity (monotonicity (rewrite (= $x10159 $x11382)) (= (not $x10159) $x11385)) (monotonicity (quant-intro @x11410 (= $x10522 $x11411)) @x11986 (= $x11179 $x11987)) (= $x11186 $x11990))))
-(let (($x11368 (and $x10145 (and $x10146 (and $x10147 (and $x10148 (and true (and true true))))))))
-(let (($x11366 (= $x10509 (and $x10146 (and $x10147 (and $x10148 (and true (and true true))))))))
-(let ((@x11355 (monotonicity (rewrite (= $x10149 true)) (rewrite (= $x10150 true)) (= $x10497 (and true true)))))
-(let ((@x11358 (monotonicity (rewrite (= $x10149 true)) @x11355 (= $x10500 (and true (and true true))))))
-(let ((@x11361 (monotonicity @x11358 (= $x10503 (and $x10148 (and true (and true true)))))))
-(let ((@x11364 (monotonicity @x11361 (= $x10506 (and $x10147 (and $x10148 (and true (and true true))))))))
-(let ((@x11373 (monotonicity (monotonicity (monotonicity @x11364 $x11366) (= $x10512 $x11368)) (= $x10515 (and $x10142 $x11368)))))
-(let ((@x11381 (monotonicity (trans @x11373 (rewrite (= (and $x10142 $x11368) $x11374)) (= $x10515 $x11374)) (= (not $x10515) $x11379))))
-(let ((@x11998 (monotonicity @x11381 (monotonicity (rewrite (= $x10159 $x11382)) @x11992 (= $x11191 $x11993)) (= $x11198 $x11996))))
-(let ((@x12006 (trans (monotonicity @x11998 (= $x11203 (and $x10142 $x11996))) (rewrite (= (and $x10142 $x11996) $x12002)) (= $x11203 $x12002))))
-(let ((@x12012 (monotonicity (monotonicity @x12006 (= $x11210 $x12007)) (= $x11215 (and $x10140 $x12007)))))
-(let ((@x12020 (monotonicity (trans @x12012 (rewrite (= (and $x10140 $x12007) $x12013)) (= $x11215 $x12013)) (= $x11222 $x12018))))
-(let (($x11306 (and $x11256 (and $x10108 (and $x10109 (and $x10112 (and $x10439 (and $x11243 $x11245))))))))
-(let (($x11327 (and (and $x11268 $x11270) (and $x11264 (and $x11260 (and $x10094 (and $x10095 (and $x10098 $x11306))))))))
-(let ((@x11344 (rewrite (= (and (and $x11284 $x11286) (and (and $x11276 $x11278) $x11327)) $x11342))))
-(let (($x11322 (= $x10476 (and $x11264 (and $x11260 (and $x10094 (and $x10095 (and $x10098 $x11306))))))))
-(let (($x11304 (= $x10451 (and $x10108 (and $x10109 (and $x10112 (and $x10439 (and $x11243 $x11245))))))))
-(let ((@x11293 (monotonicity (rewrite (= (<= 0 v_b_P_H_len$) $x11243)) (rewrite (= (<= v_b_P_H_len$ b_S_max_o_u4$) $x11245)) (= $x10119 (and $x11243 $x11245)))))
-(let ((@x11299 (monotonicity (monotonicity @x11293 (= $x10442 (and $x10439 (and $x11243 $x11245)))) (= $x10445 (and $x10112 (and $x10439 (and $x11243 $x11245)))))))
-(let ((@x11302 (monotonicity @x11299 (= $x10448 (and $x10109 (and $x10112 (and $x10439 (and $x11243 $x11245))))))))
-(let (($x11251 (>= (+ (b_S_frame_n_level$ ?0) (* (- 1) b_S_current_n_frame_n_level$)) 0)))
-(let (($x11250 (not $x11251)))
-(let ((@x11255 (rewrite (= (< (b_S_frame_n_level$ ?0) b_S_current_n_frame_n_level$) $x11250))))
-(let ((@x11308 (monotonicity (quant-intro @x11255 (= $x10104 $x11256)) (monotonicity @x11302 $x11304) (= $x10454 $x11306))))
-(let ((@x11314 (monotonicity (monotonicity @x11308 (= $x10457 (and $x10098 $x11306))) (= $x10460 (and $x10095 (and $x10098 $x11306))))))
-(let ((@x11320 (monotonicity (rewrite (= $x10074 $x11260)) (monotonicity @x11314 (= $x10470 (and $x10094 (and $x10095 (and $x10098 $x11306))))) (= $x10473 (and $x11260 (and $x10094 (and $x10095 (and $x10098 $x11306))))))))
-(let ((@x11326 (monotonicity (rewrite (= (<= 0 v_b_SL_H_witness$) $x11268)) (rewrite (= (<= v_b_SL_H_witness$ b_S_max_o_u4$) $x11270)) (= $x10071 (and $x11268 $x11270)))))
-(let ((@x11329 (monotonicity @x11326 (monotonicity (rewrite (= $x10073 $x11264)) @x11320 $x11322) (= $x10479 $x11327))))
-(let ((@x11332 (monotonicity (rewrite (= (<= 0 v_b_L_H_p$) $x11276)) (rewrite (= (<= v_b_L_H_p$ b_S_max_o_u4$) $x11278)) (= $x10067 (and $x11276 $x11278)))))
-(let ((@x11338 (monotonicity (rewrite (= (<= 0 v_b_L_H_max$) $x11284)) (rewrite (= (<= v_b_L_H_max$ b_S_max_o_u1$) $x11286)) (= $x10063 (and $x11284 $x11286)))))
-(let ((@x11341 (monotonicity @x11338 (monotonicity @x11332 @x11329 (= $x10482 (and (and $x11276 $x11278) $x11327))) (= $x10485 (and (and $x11284 $x11286) (and (and $x11276 $x11278) $x11327))))))
-(let ((@x11349 (monotonicity (trans @x11341 @x11344 (= $x10485 $x11342)) (= (not $x10485) (not $x11342)))))
-(let ((@x12026 (monotonicity @x11349 (monotonicity @x12020 (= $x11227 $x12021)) (= $x11234 (or (not $x11342) $x12021)))))
-(let ((@x10656 (monotonicity (rewrite (= (=> $x10242 true) true)) (= $x10244 (and $x10242 true)))))
-(let ((@x10663 (monotonicity (quant-intro (rewrite (= (=> $x10234 $x10235) $x10646)) (= $x10237 $x10649)) (trans @x10656 (rewrite (= (and $x10242 true) $x10242)) (= $x10244 $x10242)) (= $x10245 (=> $x10649 $x10242)))))
-(let ((@x10672 (monotonicity (quant-intro (rewrite (= (=> $x10234 $x10235) $x10646)) (= $x10237 $x10649)) (trans @x10663 (rewrite (= (=> $x10649 $x10242) $x10665)) (= $x10245 $x10665)) (= (and $x10237 $x10245) $x10670))))
-(let (($x10614 (= (and $x10218 (and $x10220 (and $x10222 true))) (and $x10218 (and $x10220 $x10222)))))
-(let ((@x10612 (monotonicity (rewrite (= (and $x10222 true) $x10222)) (= (and $x10220 (and $x10222 true)) (and $x10220 $x10222)))))
-(let ((@x10618 (monotonicity (monotonicity @x10612 $x10614) (= (and $x10216 (and $x10218 (and $x10220 (and $x10222 true)))) $x10616))))
-(let ((@x10625 (trans (monotonicity @x10618 (= $x10227 (and true $x10616))) (rewrite (= (and true $x10616) $x10616)) (= $x10227 $x10616))))
-(let ((@x10631 (monotonicity (monotonicity @x10625 (= (and $x10182 $x10227) $x10626)) (= (and $x10182 (and $x10182 $x10227)) $x10629))))
-(let ((@x10638 (trans (monotonicity @x10631 (= $x10230 (and true $x10629))) (rewrite (= (and true $x10629) $x10629)) (= $x10230 $x10629))))
-(let ((@x10644 (monotonicity (monotonicity @x10638 (= (and $x10182 $x10230) $x10639)) (= (and b_S_position_n_marker$ (and $x10182 $x10230)) $x10642))))
-(let ((@x10681 (trans (monotonicity @x10644 @x10672 (= $x10247 (=> $x10642 $x10670))) (rewrite (= (=> $x10642 $x10670) $x10677)) (= $x10247 $x10677))))
-(let (($x11117 (and $x10410 $x10182)))
-(let (($x11120 (and $x10182 $x11117)))
-(let ((@x10568 (rewrite (= (and $x10182 $x10182) $x10182))))
-(let ((@x10563 (rewrite (= $x10206 $x10182))))
-(let ((@x10570 (trans (monotonicity @x10563 (= $x10207 (and $x10182 $x10182))) @x10568 (= $x10207 $x10182))))
-(let ((@x11108 (trans (monotonicity @x10570 (= $x10411 (and $x10182 $x10182))) @x10568 (= $x10411 $x10182))))
-(let ((@x11114 (monotonicity (trans (monotonicity @x11108 (= $x10412 $x10206)) @x10563 (= $x10412 $x10182)) (= $x10413 (and $x10182 $x10182)))))
-(let ((@x11119 (monotonicity (trans @x11114 @x10568 (= $x10413 $x10182)) (= (and $x10410 $x10413) $x11117))))
-(let ((@x11125 (monotonicity (monotonicity @x11119 (= (and $x10182 (and $x10410 $x10413)) $x11120)) (= $x10416 (and true $x11120)))))
-(let ((@x11132 (monotonicity (trans @x11125 (rewrite (= (and true $x11120) $x11120)) (= $x10416 $x11120)) (monotonicity @x10681 (= $x10248 $x10682)) (= $x10417 (=> $x11120 $x10682)))))
-(let ((@x10938 (monotonicity (rewrite (= (and $x10375 false) false)) (= $x10377 (=> false true)))))
-(let ((@x10942 (trans @x10938 (rewrite (= (=> false true) true)) (= $x10377 true))))
-(let ((@x10949 (trans (monotonicity @x10942 (= $x10378 (and $x10375 true))) (rewrite (= (and $x10375 true) $x10375)) (= $x10378 $x10375))))
-(let ((@x10933 (quant-intro (rewrite (= (=> (and $x3098 (< ?0 v_b_L_H_p_G_1$)) $x10368) $x10928)) (= $x10370 $x10931))))
-(let ((@x10958 (trans (monotonicity @x10933 @x10949 (= $x10379 (=> $x10931 $x10375))) (rewrite (= (=> $x10931 $x10375) $x10954)) (= $x10379 $x10954))))
-(let ((@x10964 (monotonicity (monotonicity @x10933 @x10958 (= (and $x10370 $x10379) $x10959)) (= $x10381 (=> $x10365 $x10959)))))
-(let ((@x10973 (monotonicity (trans @x10964 (rewrite (= (=> $x10365 $x10959) $x10966)) (= $x10381 $x10966)) (= (and $x10365 $x10381) $x10971))))
-(let ((@x10920 (monotonicity (rewrite (= (and $x10360 true) $x10360)) (= (and $x10358 (and $x10360 true)) $x10918))))
-(let ((@x10903 (rewrite (= (+ v_b_L_H_p_G_0$ 1) ?x10901))))
-(let ((@x10915 (monotonicity @x10903 (= (= v_b_L_H_p_G_1$ (+ v_b_L_H_p_G_0$ 1)) $x10913))))
-(let ((@x10909 (monotonicity @x10903 (= (<= (+ v_b_L_H_p_G_0$ 1) b_S_max_o_u4$) $x10907))))
-(let ((@x10912 (monotonicity (monotonicity @x10903 (= (<= 0 (+ v_b_L_H_p_G_0$ 1)) $x10904)) @x10909 (= $x10355 $x10910))))
-(let ((@x10926 (monotonicity @x10912 (monotonicity @x10915 @x10920 (= $x10363 $x10921)) (= (and $x10355 $x10363) $x10924))))
-(let ((@x10982 (trans (monotonicity @x10926 @x10973 (= $x10383 (=> $x10924 $x10971))) (rewrite (= (=> $x10924 $x10971) $x10978)) (= $x10383 $x10978))))
-(let ((@x11021 (monotonicity (rewrite (= (and true $x10342) $x10342)) (= (and $x10392 (and true $x10342)) $x11019))))
-(let ((@x11024 (monotonicity @x11021 (= (and $x10391 (and $x10392 (and true $x10342))) $x11022))))
-(let ((@x11031 (trans (monotonicity @x11024 (= $x10395 (and true $x11022))) (rewrite (= (and true $x11022) $x11022)) (= $x10395 $x11022))))
-(let ((@x11037 (monotonicity (monotonicity @x11031 (= (and $x10182 $x10395) $x11032)) (= (and $x10182 (and $x10182 $x10395)) $x11035))))
-(let ((@x11044 (trans (monotonicity @x11037 (= $x10398 (and true $x11035))) (rewrite (= (and true $x11035) $x11035)) (= $x10398 $x11035))))
-(let ((@x11050 (monotonicity (monotonicity @x11044 (= (and $x10182 $x10398) $x11045)) (= (and $x10390 (and $x10182 $x10398)) $x11048))))
-(let ((@x11056 (monotonicity (monotonicity @x11050 (= (and $x10182 (and $x10390 (and $x10182 $x10398))) $x11051)) (= $x10402 (and true $x11051)))))
-(let ((@x11063 (monotonicity (trans @x11056 (rewrite (= (and true $x11051) $x11051)) (= $x10402 $x11051)) (monotonicity @x10912 @x10982 (= $x10384 $x10983)) (= $x10403 (=> $x11051 $x10983)))))
-(let (($x10896 (= (and $x10333 (and $x10334 (and $x10335 (and (and $x10181 $x10181) $x10346)))) $x10895)))
-(let ((@x10875 (monotonicity (rewrite (= (and true $x10342) $x10342)) (= (and $x10340 (and true $x10342)) $x10873))))
-(let ((@x10878 (monotonicity @x10875 (= (and $x10338 (and $x10340 (and true $x10342))) $x10876))))
-(let ((@x10885 (trans (monotonicity @x10878 (= $x10346 (and true $x10876))) (rewrite (= (and true $x10876) $x10876)) (= $x10346 $x10876))))
-(let ((@x10888 (monotonicity (rewrite (= (and $x10181 $x10181) $x10181)) @x10885 (= (and (and $x10181 $x10181) $x10346) $x10886))))
-(let ((@x10894 (monotonicity (monotonicity @x10888 (= (and $x10335 (and (and $x10181 $x10181) $x10346)) $x10889)) (= (and $x10334 (and $x10335 (and (and $x10181 $x10181) $x10346))) $x10892))))
-(let ((@x10988 (monotonicity (monotonicity (monotonicity @x10894 $x10896) (= $x10351 $x10898)) (monotonicity @x10912 @x10982 (= $x10384 $x10983)) (= $x10385 (=> $x10898 $x10983)))))
-(let ((@x10997 (monotonicity (trans @x10988 (rewrite (= (=> $x10898 $x10983) $x10990)) (= $x10385 $x10990)) (= (and $x10325 $x10385) $x10995))))
-(let ((@x11006 (trans (monotonicity @x10997 (= $x10387 (=> $x10323 $x10995))) (rewrite (= (=> $x10323 $x10995) $x11002)) (= $x10387 $x11002))))
-(let ((@x10861 (monotonicity (monotonicity @x10570 (= (and $x10328 $x10207) $x10856)) (= (and $x10182 (and $x10328 $x10207)) $x10859))))
-(let ((@x10868 (trans (monotonicity @x10861 (= $x10331 (and true $x10859))) (rewrite (= (and true $x10859) $x10859)) (= $x10331 $x10859))))
-(let ((@x11012 (monotonicity @x10868 (monotonicity @x11006 (= (and $x10323 $x10387) $x11007)) (= $x10389 (=> $x10859 $x11007)))))
-(let ((@x11072 (monotonicity (trans @x11012 (rewrite (= (=> $x10859 $x11007) $x11014)) (= $x10389 $x11014)) (trans @x11063 (rewrite (= (=> $x11051 $x10983) $x11065)) (= $x10403 $x11065)) (= (and $x10389 $x10403) $x11070))))
-(let ((@x11081 (trans (monotonicity @x11072 (= $x10405 (=> $x10326 $x11070))) (rewrite (= (=> $x10326 $x11070) $x11077)) (= $x10405 $x11077))))
-(let ((@x11087 (monotonicity (monotonicity @x11081 (= (and $x10325 $x10405) $x11082)) (= $x10407 (=> $x10323 $x11082)))))
-(let ((@x11095 (monotonicity (trans @x11087 (rewrite (= (=> $x10323 $x11082) $x11088)) (= $x10407 $x11088)) (= (and $x10323 $x10407) $x11093))))
-(let ((@x10848 (monotonicity (monotonicity @x10570 (= (and $x10316 $x10207) $x10843)) (= (and $x10182 (and $x10316 $x10207)) $x10846))))
-(let ((@x10855 (trans (monotonicity @x10848 (= $x10319 (and true $x10846))) (rewrite (= (and true $x10846) $x10846)) (= $x10319 $x10846))))
-(let ((@x11104 (trans (monotonicity @x10855 @x11095 (= $x10409 (=> $x10846 $x11093))) (rewrite (= (=> $x10846 $x11093) $x11100)) (= $x10409 $x11100))))
-(let ((@x11141 (monotonicity @x11104 (trans @x11132 (rewrite (= (=> $x11120 $x10682) $x11134)) (= $x10417 $x11134)) (= (and $x10409 $x10417) $x11139))))
-(let (($x10802 (= (and $x10291 (and $x10292 (and $x10293 (and $x10294 (and $x10297 $x10301))))) $x10801)))
-(let ((@x10777 (rewrite (= (= (b_S_statusmap$ v_b_S_s$) (b_S_statusmap$ v_b_S_s$)) true))))
-(let ((@x10780 (monotonicity (rewrite (= (= ?x10272 ?x10272) true)) @x10777 (= $x10300 (and true true)))))
-(let ((@x10784 (trans @x10780 (rewrite (= (and true true) true)) (= $x10300 true))))
-(let ((@x10791 (monotonicity (trans (monotonicity @x10784 (= $x10301 $x10206)) @x10563 (= $x10301 $x10182)) (= (and $x10297 $x10301) $x10789))))
-(let ((@x10797 (monotonicity (monotonicity @x10791 (= (and $x10294 (and $x10297 $x10301)) $x10792)) (= (and $x10293 (and $x10294 (and $x10297 $x10301))) $x10795))))
-(let ((@x10800 (monotonicity @x10797 (= (and $x10292 (and $x10293 (and $x10294 (and $x10297 $x10301)))) $x10798))))
-(let ((@x10809 (monotonicity (monotonicity (monotonicity @x10800 $x10802) (= $x10307 $x10804)) (= (and $x10286 $x10307) $x10807))))
-(let ((@x10759 (rewrite (= (and true $x10286) $x10286))))
-(let (($x10748 (forall ((?v0 B_S_ptr$) )(! true :pattern ( (b_S_select_o_tm$ (b_S_typemap$ v_b_S_s$) ?v0) ) :qid k!704))
-))
-(let (($x10260 (b_S_thread_n_local$ v_b_S_s$ ?0)))
-(let (($x10275 (and (= (b_S_select_o_tm$ ?x10272 ?0) (b_S_select_o_tm$ ?x10272 ?0)) $x10260)))
-(let (($x10276 (=> $x10260 $x10275)))
-(let ((@x10714 (rewrite (= (=> $x10260 $x10260) true))))
-(let ((@x10707 (rewrite (= (and true $x10260) $x10260))))
-(let (($x10738 (= (= (b_S_select_o_tm$ ?x10272 ?0) (b_S_select_o_tm$ ?x10272 ?0)) true)))
-(let ((@x10743 (trans (monotonicity (rewrite $x10738) (= $x10275 (and true $x10260))) @x10707 (= $x10275 $x10260))))
-(let ((@x10747 (trans (monotonicity @x10743 (= $x10276 (=> $x10260 $x10260))) @x10714 (= $x10276 true))))
-(let ((@x10754 (trans (quant-intro @x10747 (= $x10278 $x10748)) (elim-unused (= $x10748 true)) (= $x10278 true))))
-(let ((@x10761 (trans (monotonicity @x10754 (= $x10287 (and true $x10286))) @x10759 (= $x10287 $x10286))))
-(let (($x10694 (forall ((?v0 B_S_ptr$) )(! true :pattern ( (b_S_select_o_sm$ (b_S_statusmap$ v_b_S_s$) ?v0) ) :qid k!704))
-))
-(let ((?x10256 (b_S_statusmap$ v_b_S_s$)))
-(let ((?x10257 (b_S_select_o_sm$ ?x10256 ?0)))
-(let (($x10269 (and (= ?x10257 ?x10257) $x10260)))
-(let (($x10270 (=> $x10260 $x10269)))
-(let ((@x10727 (monotonicity (rewrite (= (= ?x10257 ?x10257) true)) (= $x10269 (and true $x10260)))))
-(let ((@x10731 (monotonicity (trans @x10727 @x10707 (= $x10269 $x10260)) (= $x10270 (=> $x10260 $x10260)))))
-(let ((@x10737 (trans (quant-intro (trans @x10731 @x10714 (= $x10270 true)) (= $x10271 $x10694)) (elim-unused (= $x10694 true)) (= $x10271 true))))
-(let ((@x10765 (trans (monotonicity @x10737 @x10761 (= $x10288 (and true $x10286))) @x10759 (= $x10288 $x10286))))
-(let (($x10717 (forall ((?v0 B_S_ptr$) )(! true :pattern ( (b_S_select_o_mem$ (b_S_memory$ v_b_S_s$) ?v0) ) :qid k!704))
-))
-(let ((?x10261 (b_S_memory$ v_b_S_s$)))
-(let ((?x10262 (b_S_select_o_mem$ ?x10261 ?0)))
-(let (($x10264 (and (= ?x10262 ?x10262) $x10260)))
-(let (($x10265 (=> $x10260 $x10264)))
-(let ((@x10705 (monotonicity (rewrite (= (= ?x10262 ?x10262) true)) (= $x10264 (and true $x10260)))))
-(let ((@x10712 (monotonicity (trans @x10705 @x10707 (= $x10264 $x10260)) (= $x10265 (=> $x10260 $x10260)))))
-(let ((@x10723 (trans (quant-intro (trans @x10712 @x10714 (= $x10265 true)) (= $x10267 $x10717)) (elim-unused (= $x10717 true)) (= $x10267 true))))
-(let ((@x10769 (trans (monotonicity @x10723 @x10765 (= $x10289 (and true $x10286))) @x10759 (= $x10289 $x10286))))
-(let (($x10253 (= (b_S_kind_n_of$ (b_S_typ$ (b_S_owner$ v_b_S_s$ ?0))) b_S_kind_n_thread$)))
-(let ((@x10696 (quant-intro (rewrite (= (=> (not $x10253) (not $x10253)) true)) (= $x10259 $x10694))))
-(let ((@x10771 (monotonicity (trans @x10696 (elim-unused (= $x10694 true)) (= $x10259 true)) @x10769 (= $x10290 (and true $x10286)))))
-(let ((@x10812 (monotonicity (trans @x10771 @x10759 (= $x10290 $x10286)) @x10809 (= (and $x10290 (and $x10286 $x10307)) $x10810))))
-(let ((@x10818 (monotonicity (monotonicity @x10812 (= (and $x10182 (and $x10290 (and $x10286 $x10307))) $x10813)) (= $x10311 (and true $x10813)))))
-(let ((@x10825 (monotonicity (trans @x10818 (rewrite (= (and true $x10813) $x10813)) (= $x10311 $x10813)) (= (and $x10182 $x10311) $x10823))))
-(let ((@x10832 (trans (monotonicity @x10825 (= $x10313 (and true $x10823))) (rewrite (= (and true $x10823) $x10823)) (= $x10313 $x10823))))
-(let ((@x10838 (monotonicity (monotonicity @x10832 (= (and $x10182 $x10313) $x10833)) (= $x10315 (and true $x10833)))))
-(let ((@x11144 (monotonicity (trans @x10838 (rewrite (= (and true $x10833) $x10833)) (= $x10315 $x10833)) @x11141 (= $x10419 (=> $x10833 $x11139)))))
-(let ((@x10591 (rewrite (= (and false (and $x10182 (and $x10182 (and $x10205 $x10182)))) false))))
-(let (($x10585 (= (and $x10182 (and true (and $x10182 (and $x10205 $x10207)))) (and $x10182 (and $x10182 (and $x10205 $x10182))))))
-(let (($x10574 (and $x10182 (and $x10205 $x10182))))
-(let (($x10210 (and true (and $x10182 (and $x10205 $x10207)))))
-(let ((@x10576 (monotonicity (monotonicity @x10570 (= (and $x10205 $x10207) (and $x10205 $x10182))) (= (and $x10182 (and $x10205 $x10207)) $x10574))))
-(let ((@x10583 (trans (monotonicity @x10576 (= $x10210 (and true $x10574))) (rewrite (= (and true $x10574) $x10574)) (= $x10210 $x10574))))
-(let ((@x10589 (monotonicity (rewrite (= $x10203 false)) (monotonicity @x10583 $x10585) (= $x10212 (and false (and $x10182 $x10574))))))
-(let ((@x10596 (monotonicity (trans @x10589 @x10591 (= $x10212 false)) (= $x10213 (and $x10182 false)))))
-(let ((@x10600 (trans @x10596 (rewrite (= (and $x10182 false) false)) (= $x10213 false))))
-(let ((@x10607 (trans (monotonicity @x10600 (= $x10214 (and true false))) (rewrite (= (and true false) false)) (= $x10214 false))))
-(let ((@x10687 (monotonicity @x10607 (monotonicity @x10681 (= $x10248 $x10682)) (= $x10249 (=> false $x10682)))))
-(let ((@x10691 (trans @x10687 (rewrite (= (=> false $x10682) true)) (= $x10249 true))))
-(let ((@x11153 (monotonicity @x10691 (trans @x11144 (rewrite (= (=> $x10833 $x11139) $x11146)) (= $x10419 $x11146)) (= $x10420 (and true $x11146)))))
-(let (($x10545 (= (and $x10176 (and $x10180 (and $x10182 (and $x10183 (and $x10188 $x10194))))) $x10544)))
-(let ((@x10531 (quant-intro (rewrite (= (=> (and $x3098 (< ?0 v_b_L_H_p_G_0$)) $x10186) $x10526)) (= $x10188 $x10529))))
-(let ((@x10537 (monotonicity (monotonicity @x10531 (= (and $x10188 $x10194) $x10532)) (= (and $x10183 (and $x10188 $x10194)) $x10535))))
-(let ((@x10543 (monotonicity (monotonicity @x10537 (= (and $x10182 (and $x10183 (and $x10188 $x10194))) $x10538)) (= (and $x10180 (and $x10182 (and $x10183 (and $x10188 $x10194)))) $x10541))))
-(let ((@x10552 (monotonicity (monotonicity (monotonicity @x10543 $x10545) (= $x10200 $x10547)) (= $x10201 (and true $x10547)))))
-(let ((@x10559 (monotonicity (trans @x10552 (rewrite (= (and true $x10547) $x10547)) (= $x10201 $x10547)) (= (and $x10168 $x10201) $x10557))))
-(let ((@x11160 (monotonicity @x10559 (trans @x11153 (rewrite (= (and true $x11146) $x11146)) (= $x10420 $x11146)) (= $x10421 (=> $x10557 $x11146)))))
-(let ((@x11169 (monotonicity (trans @x11160 (rewrite (= (=> $x10557 $x11146) $x11162)) (= $x10421 $x11162)) (= (and $x10168 $x10421) $x11167))))
-(let ((@x10524 (quant-intro (rewrite (= (=> (and $x3098 (< ?0 1)) $x10164) $x10519)) (= $x10166 $x10522))))
-(let ((@x11178 (trans (monotonicity @x10524 @x11169 (= $x10423 (=> $x10522 $x11167))) (rewrite (= (=> $x10522 $x11167) $x11174)) (= $x10423 $x11174))))
-(let ((@x11184 (monotonicity (monotonicity @x10524 @x11178 (= (and $x10166 $x10423) $x11179)) (= $x10425 (=> $x10159 $x11179)))))
-(let ((@x11193 (monotonicity (trans @x11184 (rewrite (= (=> $x10159 $x11179) $x11186)) (= $x10425 $x11186)) (= (and $x10159 $x10425) $x11191))))
-(let ((@x10499 (monotonicity (rewrite (= (and $x10150 $x10150) $x10150)) (= (and $x10149 (and $x10150 $x10150)) $x10497))))
-(let ((@x10505 (monotonicity (monotonicity @x10499 (= (and $x10149 (and $x10149 (and $x10150 $x10150))) $x10500)) (= $x10154 $x10503))))
-(let ((@x10511 (monotonicity (monotonicity @x10505 (= (and $x10147 $x10154) $x10506)) (= (and $x10146 (and $x10147 $x10154)) $x10509))))
-(let ((@x10517 (monotonicity (monotonicity @x10511 (= (and $x10145 (and $x10146 (and $x10147 $x10154))) $x10512)) (= (and $x10142 (and $x10145 (and $x10146 (and $x10147 $x10154)))) $x10515))))
-(let ((@x11202 (trans (monotonicity @x10517 @x11193 (= $x10427 (=> $x10515 $x11191))) (rewrite (= (=> $x10515 $x11191) $x11198)) (= $x10427 $x11198))))
-(let ((@x11208 (monotonicity (monotonicity @x11202 (= (and $x10142 $x10427) $x11203)) (= $x10429 (=> $x10140 $x11203)))))
-(let ((@x11217 (monotonicity (trans @x11208 (rewrite (= (=> $x10140 $x11203) $x11210)) (= $x10429 $x11210)) (= (and $x10140 $x10429) $x11215))))
-(let ((@x11226 (trans (monotonicity @x11217 (= $x10431 (=> $x10136 $x11215))) (rewrite (= (=> $x10136 $x11215) $x11222)) (= $x10431 $x11222))))
-(let (($x10483 (= (and $x10067 (and $x10071 (and $x10073 (and $x10074 (and $x10094 $x10127))))) $x10482)))
-(let (($x10455 (= (and $x10104 (and $x10108 (and $x10109 (and $x10112 (and $x10116 $x10119))))) $x10454)))
-(let (($x10113 (b_S_in_n_writes_n_at$ v_b_H_wrTime_S_1_T_6_o_1$ ?0)))
-(let (($x10436 (not $x10113)))
-(let ((@x10444 (monotonicity (quant-intro (rewrite (= (= $x10113 false) $x10436)) (= $x10116 $x10439)) (= (and $x10116 $x10119) $x10442))))
-(let ((@x10450 (monotonicity (monotonicity @x10444 (= (and $x10112 (and $x10116 $x10119)) $x10445)) (= (and $x10109 (and $x10112 (and $x10116 $x10119))) $x10448))))
-(let ((@x10453 (monotonicity @x10450 (= (and $x10108 (and $x10109 (and $x10112 (and $x10116 $x10119)))) $x10451))))
-(let ((@x10462 (monotonicity (monotonicity (monotonicity @x10453 $x10455) (= $x10125 $x10457)) (= (and $x10095 $x10125) $x10460))))
-(let ((@x10469 (trans (monotonicity @x10462 (= $x10127 (and true $x10460))) (rewrite (= (and true $x10460) $x10460)) (= $x10127 $x10460))))
-(let ((@x10475 (monotonicity (monotonicity @x10469 (= (and $x10094 $x10127) $x10470)) (= (and $x10074 (and $x10094 $x10127)) $x10473))))
-(let ((@x10481 (monotonicity (monotonicity @x10475 (= (and $x10073 (and $x10074 (and $x10094 $x10127))) $x10476)) (= (and $x10071 (and $x10073 (and $x10074 (and $x10094 $x10127)))) $x10479))))
-(let ((@x10490 (monotonicity (monotonicity (monotonicity @x10481 $x10483) (= $x10133 $x10485)) (= $x10134 (and true $x10485)))))
-(let ((@x11232 (monotonicity (trans @x10490 (rewrite (= (and true $x10485) $x10485)) (= $x10134 $x10485)) (monotonicity @x11226 (= (and $x10136 $x10431) $x11227)) (= $x10433 (=> $x10485 $x11227)))))
-(let ((@x11241 (monotonicity (trans @x11232 (rewrite (= (=> $x10485 $x11227) $x11234)) (= $x10433 $x11234)) (= $x10434 (not $x11234)))))
-(let ((@x12031 (trans @x11241 (monotonicity @x12026 (= (not $x11234) $x12027)) (= $x10434 $x12027))))
-(let ((@x12033 (not-or-elim (mp (asserted $x10434) @x12031 $x12027) $x11342)))
-(let ((@x12044 (and-elim @x12033 $x10084)))
-(let (($x9607 (forall ((?v0 B_S_ptr$) (?v1 B_S_ctype$) )(! (or (not (b_S_is$ ?v0 ?v1)) (= ?v0 (b_S_ptr$ ?v1 (b_S_ref$ ?v0)))) :pattern ( (b_S_is$ ?v0 ?v1) ) :qid k!622))
-))
-(let (($x9604 (or (not (b_S_is$ ?1 ?0)) (= ?1 (b_S_ptr$ ?0 (b_S_ref$ ?1))))))
-(let (($x9601 (forall ((?v0 B_S_ptr$) (?v1 B_S_ctype$) )(! (let (($x9596 (b_S_is$ ?v0 ?v1)))
-(=> $x9596 (= ?v0 (b_S_ptr$ ?v1 (b_S_ref$ ?v0))))) :pattern ( (b_S_is$ ?v0 ?v1) ) :qid k!622))
-))
-(let (($x9605 (= (=> (b_S_is$ ?1 ?0) (= ?1 (b_S_ptr$ ?0 (b_S_ref$ ?1)))) $x9604)))
-(let ((@x15336 (mp~ (mp (asserted $x9601) (quant-intro (rewrite $x9605) (= $x9601 $x9607)) $x9607) (nnf-pos (refl (~ $x9604 $x9604)) (~ $x9607 $x9607)) $x9607)))
-(let (($x21982 (not $x10084)))
-(let (($x21994 (not $x9607)))
-(let (($x21995 (or $x21994 $x21982 $x21990)))
-(let ((@x22000 (mp ((_ quant-inst (b_S_ptr$ ?x10076 ?x10079) (b_S_array$ b_T_T_u1$ v_b_P_H_len$)) (or $x21994 (or $x21982 $x21990))) (rewrite (= (or $x21994 (or $x21982 $x21990)) $x21995)) $x21995)))
-(let ((@x23670 (symm (unit-resolution @x22000 @x15336 @x12044 $x21990) (= ?x21983 ?x10080))))
-(let ((@x23502 (monotonicity (trans @x23670 (symm @x23680 (= ?x10080 ?x22595)) (= ?x21983 ?x22595)) (= (b_S_set_n_in$ ?x21983 ?x22343) $x22596))))
-(let (($x22344 (b_S_set_n_in$ ?x21983 ?x22343)))
-(let (($x22362 (forall ((?v3 B_S_ptr$) )(! (let ((?x10078 (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$)))
-(let ((?x10079 (b_S_ref$ ?x10078)))
-(let ((?x10076 (b_S_array$ b_T_T_u1$ v_b_P_H_len$)))
-(let ((?x10080 (b_S_ptr$ ?x10076 ?x10079)))
-(let ((?x21014 (b_S_ref$ ?x10080)))
-(let ((?x21983 (b_S_ptr$ ?x10076 ?x21014)))
-(let ((?x22357 (b_S_read_n_version$ v_b_S_s$ ?x21983)))
-(let ((?x22358 (b_S_ver_n_domain$ ?x22357)))
-(let ((?x22234 (b_S_typ$ ?x21983)))
-(let (($x22353 (b_S_has_n_volatile_n_owns_n_set$ ?x22234)))
-(or $x22353 (not (b_S_set_n_in$ ?v3 (b_S_owns$ v_b_S_s$ ?x21983))) (b_S_set_n_in2$ ?v3 ?x22358)))))))))))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ v_b_S_s$ (b_S_ptr$ (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ (b_S_ptr$ (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ (b_S_ptr$ b_T_T_u1$ v_b_P_H_arr$))))))) ) :qid k!564))
-))
-(let (($x22363 (not $x22362)))
-(let (($x22248 (b_S_closed$ v_b_S_s$ ?x21983)))
-(let (($x22272 (not $x22248)))
-(let (($x22352 (not $x22344)))
-(let (($x22364 (or $x22352 $x22272 $x22363)))
-(let (($x22365 (not $x22364)))
-(let (($x22318 (b_S_in_n_domain$ v_b_S_s$ ?x21983 ?x21983)))
-(let (($x22317 (b_S_in_n_domain_n_lab$ v_b_S_s$ ?x21983 ?x21983 b_l_H_public$)))
-(let (($x22326 (= $x22317 $x22318)))
-(let (($x8728 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) (?v3 B_S_label$) )(! (let (($x8719 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(let (($x8718 (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3)))
-(= $x8718 $x8719))) :pattern ( (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3) ) :qid k!567))
-))
-(let (($x8719 (b_S_in_n_domain$ ?3 ?2 ?1)))
-(let (($x8718 (b_S_in_n_domain_n_lab$ ?3 ?2 ?1 ?0)))
-(let (($x8725 (= $x8718 $x8719)))
-(let (($x8723 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) (?v3 B_S_label$) )(! (let (($x8719 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(let (($x8718 (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3)))
-(= $x8718 $x8719))) :pattern ( (b_S_in_n_domain_n_lab$ ?v0 ?v1 ?v2 ?v3) ) :qid k!567))
-))
-(let ((@x8733 (mp (asserted $x8723) (quant-intro (rewrite (= (= $x8718 $x8719) $x8725)) (= $x8723 $x8728)) $x8728)))
-(let ((@x15021 (mp~ @x8733 (nnf-pos (refl (~ $x8725 $x8725)) (~ $x8728 $x8728)) $x8728)))
-(let (($x22699 (or (not $x8728) $x22326)))
-(let ((@x23229 ((_ quant-inst v_b_S_s$ (b_S_ptr$ ?x10076 ?x21014) (b_S_ptr$ ?x10076 ?x21014) b_l_H_public$) $x22699)))
-(let ((@x22990 (unit-resolution @x23229 @x15021 $x22326)))
-(let ((@x23563 (symm (monotonicity @x23670 @x23670 (= $x22317 $x10136)) (= $x10136 $x22317))))
-(let (($x35 (= b_S_kind_n_primitive$ b_S_kind_n_array$)))
-(let (($x36 (not $x35)))
-(let (($x22421 (= $x36 (not (= (b_S_kind_n_of$ (b_S_typ$ ?x21983)) b_S_kind_n_primitive$)))))
-(let ((?x22234 (b_S_typ$ ?x21983)))
-(let ((?x22387 (b_S_kind_n_of$ ?x22234)))
-(let (($x22388 (= ?x22387 b_S_kind_n_primitive$)))
-(let (($x22148 (= ?x10086 b_S_kind_n_array$)))
-(let (($x21115 (b_S_is_n_arraytype$ ?x10076)))
-(let (($x22149 (= $x21115 $x22148)))
-(let (($x9869 (forall ((?v0 B_S_ctype$) )(! (let ((?x9849 (b_S_kind_n_of$ ?v0)))
-(let (($x9861 (= ?x9849 b_S_kind_n_array$)))
-(let (($x7848 (b_S_is_n_arraytype$ ?v0)))
-(= $x7848 $x9861)))) :pattern ( (b_S_is_n_arraytype$ ?v0) ) :qid k!662))
-))
-(let ((?x9849 (b_S_kind_n_of$ ?0)))
-(let (($x9861 (= ?x9849 b_S_kind_n_array$)))
-(let (($x7848 (b_S_is_n_arraytype$ ?0)))
-(let (($x9866 (= $x7848 $x9861)))
-(let (($x9864 (forall ((?v0 B_S_ctype$) )(! (let ((?x9849 (b_S_kind_n_of$ ?v0)))
-(let (($x9861 (= ?x9849 b_S_kind_n_array$)))
-(let (($x7848 (b_S_is_n_arraytype$ ?v0)))
-(= $x7848 $x9861)))) :pattern ( (b_S_is_n_arraytype$ ?v0) ) :qid k!662))
-))
-(let ((@x9874 (mp (asserted $x9864) (quant-intro (rewrite (= (= $x7848 $x9861) $x9866)) (= $x9864 $x9869)) $x9869)))
-(let ((@x15446 (mp~ @x9874 (nnf-pos (refl (~ $x9866 $x9866)) (~ $x9869 $x9869)) $x9869)))
-(let (($x22159 (or (not $x9869) $x22149)))
-(let ((@x22160 ((_ quant-inst (b_S_array$ b_T_T_u1$ v_b_P_H_len$)) $x22159)))
-(let (($x7229 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (let ((?x6561 (b_S_array$ ?v0 ?v1)))
-(b_S_is_n_arraytype$ ?x6561)) :pattern ( (b_S_array$ ?v0 ?v1) ) :qid k!502))
-))
-(let ((?x6561 (b_S_array$ ?1 ?0)))
-(let (($x7228 (b_S_is_n_arraytype$ ?x6561)))
-(let ((@x14576 (mp~ (asserted $x7229) (nnf-pos (refl (~ $x7228 $x7228)) (~ $x7229 $x7229)) $x7229)))
-(let (($x21122 (or (not $x7229) $x21115)))
-(let ((@x21123 ((_ quant-inst b_T_T_u1$ v_b_P_H_len$) $x21122)))
-(let ((@x22382 (unit-resolution (def-axiom (or (not $x22149) (not $x21115) $x22148)) (unit-resolution @x21123 @x14576 $x21115) (or (not $x22149) $x22148))))
-(let ((?x21180 (b_S_typ$ ?x10080)))
-(let (($x21183 (= ?x21180 ?x10076)))
-(let (($x19841 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_typ$ (b_S_ptr$ ?v0 ?v1)) ?v0) :pattern ( (b_S_ptr$ ?v0 ?v1) ) :qid k!628))
-))
-(let (($x9659 (forall ((?v0 B_S_ctype$) (?v1 Int) )(! (= (b_S_typ$ (b_S_ptr$ ?v0 ?v1)) ?v0) :qid k!628))
-))
-(let (($x9658 (= (b_S_typ$ (b_S_ptr$ ?1 ?0)) ?1)))
-(let ((@x15361 (mp~ (asserted $x9659) (nnf-pos (refl (~ $x9658 $x9658)) (~ $x9659 $x9659)) $x9659)))
-(let ((@x19846 (mp @x15361 (quant-intro (refl (= $x9658 $x9658)) (= $x9659 $x19841)) $x19841)))
-(let (($x21147 (not $x19841)))
-(let (($x21188 (or $x21147 $x21183)))
-(let ((@x21189 ((_ quant-inst (b_S_array$ b_T_T_u1$ v_b_P_H_len$) (b_S_ref$ ?x10078)) $x21188)))
-(let ((@x22406 (trans (monotonicity @x23670 (= ?x22234 ?x21180)) (unit-resolution @x21189 @x19846 $x21183) (= ?x22234 ?x10076))))
-(let ((@x22335 (trans (monotonicity @x22406 (= ?x22387 ?x10086)) (unit-resolution @x22382 (unit-resolution @x22160 @x15446 $x22149) $x22148) (= ?x22387 b_S_kind_n_array$))))
-(let ((@x22369 (monotonicity @x22335 (= $x22388 (= b_S_kind_n_array$ b_S_kind_n_primitive$)))))
-(let ((@x22393 (trans @x22369 (commutativity (= (= b_S_kind_n_array$ b_S_kind_n_primitive$) $x35)) (= $x22388 $x35))))
-(let (($x41 (= b_S_kind_n_thread$ b_S_kind_n_array$)))
-(let (($x42 (not $x41)))
-(let (($x39 (= b_S_kind_n_composite$ b_S_kind_n_array$)))
-(let (($x40 (not $x39)))
-(let (($x37 (= b_S_kind_n_composite$ b_S_kind_n_thread$)))
-(let (($x38 (not $x37)))
-(let (($x32 (= b_S_kind_n_primitive$ b_S_kind_n_thread$)))
-(let (($x33 (not $x32)))
-(let (($x29 (= b_S_kind_n_primitive$ b_S_kind_n_composite$)))
-(let (($x30 (not $x29)))
-(let (($x67 (and $x30 $x33 $x36 $x38 $x40 $x42)))
-(let (($x48 (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 (and $x42 true))))))))
-(let (($x68 (= (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 $x42))))) $x67)))
-(let (($x65 (= $x48 (and $x30 (and $x33 (and $x36 (and $x38 (and $x40 $x42))))))))
-(let (($x62 (= (and $x33 (and $x36 (and $x38 (and $x40 (and $x42 true))))) (and $x33 (and $x36 (and $x38 (and $x40 $x42)))))))
-(let (($x59 (= (and $x36 (and $x38 (and $x40 (and $x42 true)))) (and $x36 (and $x38 (and $x40 $x42))))))
-(let (($x56 (= (and $x38 (and $x40 (and $x42 true))) (and $x38 (and $x40 $x42)))))
-(let ((@x54 (monotonicity (rewrite (= (and $x42 true) $x42)) (= (and $x40 (and $x42 true)) (and $x40 $x42)))))
-(let ((@x66 (monotonicity (monotonicity (monotonicity (monotonicity @x54 $x56) $x59) $x62) $x65)))
-(let ((@x72 (mp (asserted $x48) (trans @x66 (rewrite $x68) (= $x48 $x67)) $x67)))
-(let ((@x75 (and-elim @x72 $x36)))
-(let (($x22333 (not $x22318)))
-(let (($x22336 (not $x22317)))
-(let ((@x22397 (unit-resolution (def-axiom (or (not $x22326) $x22317 $x22333)) (mp (hypothesis $x11221) (monotonicity @x23563 (= $x11221 $x22336)) $x22336) @x22990 $x22333)))
-(let (($x22368 (b_S_is$ ?x21983 ?x22234)))
-(let ((@x23420 (mp @x12044 (symm (monotonicity @x23670 @x22406 (= $x22368 $x10084)) (= $x10084 $x22368)) $x22368)))
-(let (($x22385 (b_S_typed$ v_b_S_s$ ?x21983)))
-(let ((@x12045 (and-elim @x12033 $x10085)))
-(let ((@x22419 (mp @x12045 (symm (monotonicity @x23670 (= $x22385 $x10085)) (= $x10085 $x22385)) $x22385)))
-(let ((?x22243 (b_S_owner$ v_b_S_s$ ?x21983)))
-(let (($x22259 (= ?x22243 b_S_me$)))
-(let ((@x12043 (and-elim @x12033 $x10083)))
-(let ((@x12042 (and-elim @x12033 $x10081)))
-(let ((@x22437 (mp @x12042 (symm (monotonicity @x23670 (= $x22248 $x10081)) (= $x10081 $x22248)) $x22248)))
-(let (($x22235 (b_S_is_n_non_n_primitive$ ?x22234)))
-(let ((@x12047 (and-elim @x12033 $x10089)))
-(let ((@x22500 (mp @x12047 (symm (monotonicity @x22406 (= $x22235 $x10089)) (= $x10089 $x22235)) $x22235)))
-(let ((@x12050 (and-elim @x12033 $x10097)))
-(let (($x18905 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! (let (($x8613 (b_S_in_n_domain$ ?v0 ?v1 ?v1)))
-(let ((?x2247 (b_S_typ$ ?v1)))
-(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247)))
-(let (($x9239 (not $x2351)))
-(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$)))
-(let (($x2488 (b_S_typed$ ?v0 ?v1)))
-(let (($x9531 (not $x2488)))
-(let (($x2487 (b_S_is$ ?v1 ?x2247)))
-(let (($x16299 (not $x2487)))
-(let ((?x2484 (b_S_owner$ ?v0 ?v1)))
-(let (($x2486 (= ?x2484 b_S_me$)))
-(let (($x16298 (not $x2486)))
-(let (($x2471 (b_S_closed$ ?v0 ?v1)))
-(let (($x9185 (not $x2471)))
-(let (($x2687 (b_S_full_n_stop$ ?v0)))
-(let (($x16426 (not $x2687)))
-(or $x16426 $x9185 $x16298 $x16299 $x9531 $x2249 $x9239 $x8613))))))))))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v1) ) :qid k!563))
-))
-(let (($x8634 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! (let (($x8613 (b_S_in_n_domain$ ?v0 ?v1 ?v1)))
-(let ((?x2247 (b_S_typ$ ?v1)))
-(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247)))
-(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$)))
-(let (($x2294 (not $x2249)))
-(let (($x2488 (b_S_typed$ ?v0 ?v1)))
-(let (($x2487 (b_S_is$ ?v1 ?x2247)))
-(let ((?x2484 (b_S_owner$ ?v0 ?v1)))
-(let (($x2486 (= ?x2484 b_S_me$)))
-(let (($x2471 (b_S_closed$ ?v0 ?v1)))
-(let (($x2687 (b_S_full_n_stop$ ?v0)))
-(let (($x8625 (and $x2687 $x2471 $x2486 $x2487 $x2488 $x2294 $x2351)))
-(let (($x8628 (not $x8625)))
-(or $x8628 $x8613)))))))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v1) ) :qid k!563))
-))
-(let (($x8613 (b_S_in_n_domain$ ?1 ?0 ?0)))
-(let ((?x2247 (b_S_typ$ ?0)))
-(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247)))
-(let (($x9239 (not $x2351)))
-(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$)))
-(let (($x2488 (b_S_typed$ ?1 ?0)))
-(let (($x9531 (not $x2488)))
-(let (($x2487 (b_S_is$ ?0 ?x2247)))
-(let (($x16299 (not $x2487)))
-(let ((?x2484 (b_S_owner$ ?1 ?0)))
-(let (($x2486 (= ?x2484 b_S_me$)))
-(let (($x16298 (not $x2486)))
-(let (($x2471 (b_S_closed$ ?1 ?0)))
-(let (($x9185 (not $x2471)))
-(let (($x2687 (b_S_full_n_stop$ ?1)))
-(let (($x16426 (not $x2687)))
-(let (($x18900 (or $x16426 $x9185 $x16298 $x16299 $x9531 $x2249 $x9239 $x8613)))
-(let (($x2294 (not $x2249)))
-(let (($x8625 (and $x2687 $x2471 $x2486 $x2487 $x2488 $x2294 $x2351)))
-(let (($x8628 (not $x8625)))
-(let (($x8631 (or $x8628 $x8613)))
-(let ((@x18902 (rewrite (= (or (or $x16426 $x9185 $x16298 $x16299 $x9531 $x2249 $x9239) $x8613) $x18900))))
-(let (($x18886 (or $x16426 $x9185 $x16298 $x16299 $x9531 $x2249 $x9239)))
-(let ((@x18892 (monotonicity (rewrite (= $x8625 (not $x18886))) (= $x8628 (not (not $x18886))))))
-(let ((@x18899 (monotonicity (trans @x18892 (rewrite (= (not (not $x18886)) $x18886)) (= $x8628 $x18886)) (= $x8631 (or $x18886 $x8613)))))
-(let (($x8616 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! (let (($x8613 (b_S_in_n_domain$ ?v0 ?v1 ?v1)))
-(let ((?x2247 (b_S_typ$ ?v1)))
-(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247)))
-(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$)))
-(let (($x2294 (not $x2249)))
-(let (($x2488 (b_S_typed$ ?v0 ?v1)))
-(let (($x2487 (b_S_is$ ?v1 ?x2247)))
-(let ((?x2484 (b_S_owner$ ?v0 ?v1)))
-(let (($x2486 (= ?x2484 b_S_me$)))
-(let (($x2471 (b_S_closed$ ?v0 ?v1)))
-(let (($x2687 (b_S_full_n_stop$ ?v0)))
-(let (($x8612 (and $x2687 (and $x2471 (and $x2486 (and $x2487 (and $x2488 (and $x2294 $x2351))))))))
-(=> $x8612 $x8613))))))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v1) ) :qid k!563))
-))
-(let (($x8622 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) )(! (let (($x8613 (b_S_in_n_domain$ ?v0 ?v1 ?v1)))
-(let ((?x2247 (b_S_typ$ ?v1)))
-(let (($x2351 (b_S_is_n_non_n_primitive$ ?x2247)))
-(let (($x2249 (= (b_S_kind_n_of$ ?x2247) b_S_kind_n_primitive$)))
-(let (($x2294 (not $x2249)))
-(let (($x2488 (b_S_typed$ ?v0 ?v1)))
-(let (($x2487 (b_S_is$ ?v1 ?x2247)))
-(let ((?x2484 (b_S_owner$ ?v0 ?v1)))
-(let (($x2486 (= ?x2484 b_S_me$)))
-(let (($x2471 (b_S_closed$ ?v0 ?v1)))
-(let (($x2687 (b_S_full_n_stop$ ?v0)))
-(let (($x8612 (and $x2687 (and $x2471 (and $x2486 (and $x2487 (and $x2488 (and $x2294 $x2351))))))))
-(or (not $x8612) $x8613))))))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v1) ) :qid k!563))
-))
-(let (($x8612 (and $x2687 (and $x2471 (and $x2486 (and $x2487 (and $x2488 (and $x2294 $x2351))))))))
-(let (($x8619 (or (not $x8612) $x8613)))
-(let ((@x8633 (monotonicity (monotonicity (rewrite (= $x8612 $x8625)) (= (not $x8612) $x8628)) (= $x8619 $x8631))))
-(let ((@x8638 (trans (quant-intro (rewrite (= (=> $x8612 $x8613) $x8619)) (= $x8616 $x8622)) (quant-intro @x8633 (= $x8622 $x8634)) (= $x8616 $x8634))))
-(let ((@x14989 (mp~ (mp (asserted $x8616) @x8638 $x8634) (nnf-pos (refl (~ $x8631 $x8631)) (~ $x8634 $x8634)) $x8634)))
-(let ((@x18908 (mp @x14989 (quant-intro (trans @x18899 @x18902 (= $x8631 $x18900)) (= $x8634 $x18905)) $x18905)))
-(let (($x22242 (not $x22235)))
-(let (($x22386 (not $x22385)))
-(let (($x22384 (not $x22368)))
-(let (($x23422 (or (not $x18905) $x19677 $x22272 (not $x22259) $x22384 $x22386 $x22388 $x22242 $x22318)))
-(let (($x23058 (= (or (not $x18905) (or $x19677 $x22272 (not $x22259) $x22384 $x22386 $x22388 $x22242 $x22318)) $x23422)))
-(let ((@x23077 ((_ quant-inst v_b_S_s$ (b_S_ptr$ ?x10076 ?x21014)) (or (not $x18905) (or $x19677 $x22272 (not $x22259) $x22384 $x22386 $x22388 $x22242 $x22318)))))
-(let ((@x22720 (mp @x23077 (rewrite $x23058) $x23422)))
-(let ((@x22519 (unit-resolution @x22720 @x18908 @x12050 @x22500 @x22437 (trans (monotonicity @x23670 (= ?x22243 ?x10082)) @x12043 $x22259) (or $x22384 $x22386 $x22388 $x22318))))
-(let ((@x22507 (unit-resolution @x22519 @x22419 @x23420 @x22397 (mp @x75 (monotonicity (symm @x22393 (= $x35 $x22388)) $x22421) (not $x22388)) false)))
-(let ((@x22508 (lemma @x22507 $x10136)))
-(let ((@x23561 (def-axiom (or (not $x22326) $x22336 $x22318))))
-(let (($x22366 (or $x22333 $x22365)))
-(let (($x18945 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) )(! (let (($x18929 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?v0 ?v2)))))
-(let ((?x6628 (b_S_typ$ ?v1)))
-(let (($x8640 (b_S_has_n_volatile_n_owns_n_set$ ?x6628)))
-(or $x8640 (not (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1))) $x8646)))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1)) ) :qid k!564))
-))
-(let (($x2554 (b_S_closed$ ?v0 ?v1)))
-(let (($x8955 (not $x2554)))
-(let (($x8428 (b_S_set_n_in$ ?v1 (b_S_domain$ ?v0 ?v2))))
-(let (($x18744 (not $x8428)))
-(let (($x18937 (not (or $x18744 $x8955 (not $x18929)))))
-(let (($x8461 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(let (($x8672 (not $x8461)))
-(or $x8672 $x18937))))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v2) ) :qid k!564))
-))
-(let (($x8687 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) )(! (let (($x8660 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?v0 ?v2)))))
-(let (($x8643 (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1))))
-(let (($x8644 (and (not (b_S_has_n_volatile_n_owns_n_set$ (b_S_typ$ ?v1))) $x8643)))
-(let (($x8656 (not $x8644)))
-(or $x8656 $x8646))))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1)) ) :qid k!564))
-))
-(let (($x2554 (b_S_closed$ ?v0 ?v1)))
-(let (($x8428 (b_S_set_n_in$ ?v1 (b_S_domain$ ?v0 ?v2))))
-(let (($x8681 (and $x8428 $x2554 $x8660)))
-(let (($x8461 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(let (($x8672 (not $x8461)))
-(or $x8672 $x8681))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v2) ) :qid k!564))
-))
-(let (($x18929 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?2 ?0)))))
-(let ((?x6628 (b_S_typ$ ?1)))
-(let (($x8640 (b_S_has_n_volatile_n_owns_n_set$ ?x6628)))
-(or $x8640 (not (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1))) $x8646)))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1)) ) :qid k!564))
-))
-(let (($x2554 (b_S_closed$ ?2 ?1)))
-(let (($x8955 (not $x2554)))
-(let (($x8428 (b_S_set_n_in$ ?1 (b_S_domain$ ?2 ?0))))
-(let (($x18744 (not $x8428)))
-(let (($x18937 (not (or $x18744 $x8955 (not $x18929)))))
-(let (($x8461 (b_S_in_n_domain$ ?2 ?1 ?0)))
-(let (($x8672 (not $x8461)))
-(let (($x8660 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?2 ?0)))))
-(let (($x8643 (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1))))
-(let (($x8644 (and (not (b_S_has_n_volatile_n_owns_n_set$ (b_S_typ$ ?1))) $x8643)))
-(let (($x8656 (not $x8644)))
-(or $x8656 $x8646))))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1)) ) :qid k!564))
-))
-(let (($x8681 (and $x8428 $x2554 $x8660)))
-(let (($x8684 (or $x8672 $x8681)))
-(let (($x8646 (b_S_set_n_in2$ ?0 (b_S_ver_n_domain$ (b_S_read_n_version$ ?3 ?1)))))
-(let ((?x6628 (b_S_typ$ ?2)))
-(let (($x8640 (b_S_has_n_volatile_n_owns_n_set$ ?x6628)))
-(let (($x18924 (or $x8640 (not (b_S_set_n_in$ ?0 (b_S_owns$ ?3 ?2))) $x8646)))
-(let (($x8643 (b_S_set_n_in$ ?0 (b_S_owns$ ?3 ?2))))
-(let (($x8644 (and (not $x8640) $x8643)))
-(let (($x8656 (not $x8644)))
-(let (($x8657 (or $x8656 $x8646)))
-(let ((@x18918 (rewrite (= (not (not (or $x8640 (not $x8643)))) (or $x8640 (not $x8643))))))
-(let ((@x18916 (monotonicity (rewrite (= $x8644 (not (or $x8640 (not $x8643))))) (= $x8656 (not (not (or $x8640 (not $x8643))))))))
-(let ((@x18923 (monotonicity (trans @x18916 @x18918 (= $x8656 (or $x8640 (not $x8643)))) (= $x8657 (or (or $x8640 (not $x8643)) $x8646)))))
-(let ((@x18928 (trans @x18923 (rewrite (= (or (or $x8640 (not $x8643)) $x8646) $x18924)) (= $x8657 $x18924))))
-(let ((@x18934 (monotonicity (quant-intro @x18928 (= $x8660 $x18929)) (= $x8681 (and $x8428 $x2554 $x18929)))))
-(let ((@x18941 (trans @x18934 (rewrite (= (and $x8428 $x2554 $x18929) $x18937)) (= $x8681 $x18937))))
-(let ((@x18947 (quant-intro (monotonicity @x18941 (= $x8684 (or $x8672 $x18937))) (= $x8687 $x18945))))
-(let ((@x15001 (monotonicity (refl (~ $x8428 $x8428)) (refl (~ $x2554 $x2554)) (nnf-pos (refl (~ $x8657 $x8657)) (~ $x8660 $x8660)) (~ $x8681 $x8681))))
-(let ((@x15005 (nnf-pos (monotonicity (refl (~ $x8672 $x8672)) @x15001 (~ $x8684 $x8684)) (~ $x8687 $x8687))))
-(let (($x8654 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) )(! (let (($x8649 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?v0 ?v2)))))
-(let (($x8643 (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1))))
-(let (($x8644 (and (not (b_S_has_n_volatile_n_owns_n_set$ (b_S_typ$ ?v1))) $x8643)))
-(=> $x8644 $x8646)))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1)) ) :qid k!564))
-))
-(let (($x2554 (b_S_closed$ ?v0 ?v1)))
-(let (($x8428 (b_S_set_n_in$ ?v1 (b_S_domain$ ?v0 ?v2))))
-(let (($x8461 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(=> $x8461 (and $x8428 (and $x2554 $x8649))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v2) ) :qid k!564))
-))
-(let (($x8678 (forall ((?v0 B_S_state$) (?v1 B_S_ptr$) (?v2 B_S_ptr$) )(! (let (($x8660 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?v0 ?v2)))))
-(let (($x8643 (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1))))
-(let (($x8644 (and (not (b_S_has_n_volatile_n_owns_n_set$ (b_S_typ$ ?v1))) $x8643)))
-(let (($x8656 (not $x8644)))
-(or $x8656 $x8646))))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?v0 ?v1)) ) :qid k!564))
-))
-(let (($x2554 (b_S_closed$ ?v0 ?v1)))
-(let (($x8428 (b_S_set_n_in$ ?v1 (b_S_domain$ ?v0 ?v2))))
-(let (($x8666 (and $x8428 (and $x2554 $x8660))))
-(let (($x8461 (b_S_in_n_domain$ ?v0 ?v1 ?v2)))
-(let (($x8672 (not $x8461)))
-(or $x8672 $x8666))))))) :pattern ( (b_S_in_n_domain$ ?v0 ?v1 ?v2) ) :qid k!564))
-))
-(let ((@x8686 (monotonicity (rewrite (= (and $x8428 (and $x2554 $x8660)) $x8681)) (= (or $x8672 (and $x8428 (and $x2554 $x8660))) $x8684))))
-(let (($x8666 (and $x8428 (and $x2554 $x8660))))
-(let (($x8673 (or $x8672 $x8666)))
-(let (($x8649 (forall ((?v3 B_S_ptr$) )(! (let (($x8646 (b_S_set_n_in2$ ?v3 (b_S_ver_n_domain$ (b_S_read_n_version$ ?2 ?0)))))
-(let (($x8643 (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1))))
-(let (($x8644 (and (not (b_S_has_n_volatile_n_owns_n_set$ (b_S_typ$ ?1))) $x8643)))
-(=> $x8644 $x8646)))) :pattern ( (b_S_set_n_in$ ?v3 (b_S_owns$ ?2 ?1)) ) :qid k!564))
-))
-(let (($x8652 (=> $x8461 (and $x8428 (and $x2554 $x8649)))))
-(let ((@x8665 (monotonicity (quant-intro (rewrite (= (=> $x8644 $x8646) $x8657)) (= $x8649 $x8660)) (= (and $x2554 $x8649) (and $x2554 $x8660)))))
-(let ((@x8671 (monotonicity (monotonicity @x8665 (= (and $x8428 (and $x2554 $x8649)) $x8666)) (= $x8652 (=> $x8461 $x8666)))))
-(let ((@x8680 (quant-intro (trans @x8671 (rewrite (= (=> $x8461 $x8666) $x8673)) (= $x8652 $x8673)) (= $x8654 $x8678))))
-(let ((@x8692 (mp (asserted $x8654) (trans @x8680 (quant-intro @x8686 (= $x8678 $x8687)) (= $x8654 $x8687)) $x8687)))
-(let ((@x18948 (mp (mp~ @x8692 @x15005 $x8687) @x18947 $x18945)))