--- a/src/HOL/SMT_Examples/Boogie_Dijkstra.certs Wed Apr 08 18:58:28 2015 +0200
+++ b/src/HOL/SMT_Examples/Boogie_Dijkstra.certs Wed Apr 08 19:05:57 2015 +0200
@@ -1,4 +1,4 @@
-9d6b81d96fb21c8c08e3f1fd649ce37bdafb5f92 3044 0
+9d6b81d96fb21c8c08e3f1fd649ce37bdafb5f92 3015 0
unsat
((set-logic AUFLIA)
(declare-fun ?v0!19 () B_Vertex$)
@@ -34,26 +34,24 @@
(let (($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 (($x3729 (forall ((?v1 B_Vertex$) )(! (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) )))
+(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$) )(!(let ((?x303 (v_b_SP_G_2$ ?v0)))
-(let ((?x1263 (* (- 1) ?x303)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(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 (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($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) )))
+(or $x300 $x922 $x1282))))))) :pattern ( (pair$ ?v1 ?v0) ) :qid k!42))
))
(let (($x3725 (not $x3720)))
(let (($x3737 (or $x3725 $x1909 $x1914 $x3734)))
@@ -71,19 +69,18 @@
(let ((?x4546 (+ ?x1911 ?x3105 ?x4436)))
(let (($x4569 (<= ?x4546 0)))
(let (($x3740 (not $x3737)))
-(let ((@x8092 (hypothesis $x3740)))
+(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) )))
+(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 (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
-(let (($x2768 (not $x301)))
+(let (($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) )))
+(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 $x3746)))
@@ -103,8 +100,8 @@
(let (($x1847 (>= ?x1846 0)))
(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
(let (($x3904 (>= ?x257 0)))
-(let (($x3556 (forall ((?v0 B_Vertex$) )(!(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
-(>= ?x174 0)) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) )))
+(let (($x3556 (forall ((?v0 B_Vertex$) )(! (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 $x3764)))
@@ -116,12 +113,12 @@
(let (($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 (($x3695 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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 $x3782)))
@@ -133,7 +130,7 @@
(let (($x1830 (not $x1829)))
(let (($x3791 (or $x1830 $x3788)))
(let (($x3794 (not $x3791)))
-(let (($x3686 (forall ((?v0 B_Vertex$) )(!(>= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) (v_b_SP_G_2$ ?v0))) 0) :pattern ( (fun_app$c v_b_SP_G_1$ ?v0) ) :pattern ( (v_b_SP_G_2$ ?v0) )))
+(let (($x3686 (forall ((?v0 B_Vertex$) )(! (>= (+ (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 $x3794)))
@@ -146,7 +143,7 @@
(let (($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 (($x3678 (forall ((?v0 B_Vertex$) )(! (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$)))
@@ -155,17 +152,17 @@
(let (($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) )))
+(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 (($x3670 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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$)))
@@ -173,11 +170,11 @@
(let ((?x265 (fun_app$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$)))
+(let (($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) )))
+(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 $x3660)))
(let ((?x1173 (* (- 1) ?x257)))
@@ -193,12 +190,12 @@
(let (($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 (($x3622 (forall ((?v0 B_Vertex$) (?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) )))
+(or $x1099 $x922 $x1140)))))) :pattern ( (pair$ ?v1 ?v0) ) :qid k!42))
))
(let (($x3627 (not $x3622)))
(let (($x3630 (or $x3627 $x246)))
@@ -216,23 +213,23 @@
(let (($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 (($x3614 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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 (($x3600 (forall ((?v1 B_Vertex$) )(! (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) )))
+(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)))
@@ -249,62 +246,68 @@
(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 (($x3590 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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 (($x3581 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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 ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(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 (($x990 (>= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(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) )))
+(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 ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x3565 (forall ((?v0 B_Vertex$) (?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 $x178 (not (fun_app$ v_b_Visited_G_1$ ?v0)) $x1015)))) :pattern ( (fun_app$ v_b_Visited_G_1$ ?v1) (fun_app$ v_b_Visited_G_1$ ?v0) )))
+(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 (($x3547 (forall ((?v0 B_Vertex$) )(! (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) )))
+(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 (($x3533 (forall ((?v1 B_Vertex$) )(! (let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
(let ((?x1541 (* (- 1) ?x1540)))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(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)))))))) :pattern ( (v_b_SP_G_0$ ?v1) ) :pattern ( (v_b_Visited_G_0$ ?v1) ) :pattern ( (pair$ ?v1 ?v0!5) )))
+(or (>= (+ ?x128 ?x1541) 0) $x137 (not (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))) :pattern ( (v_b_SP_G_0$ ?v1) ) :pattern ( (v_b_Visited_G_0$ ?v1) ) :pattern ( (pair$ ?v1 ?v0!5) ) :qid k!42))
))
(let (($x3538 (not $x3533)))
(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
@@ -321,87 +324,82 @@
(let ((@x6514 (unit-resolution (def-axiom (or $x3541 $x1544)) (hypothesis (not $x3541)) $x1544)))
(let ((@x5778 (symm (commutativity (= $x5625 (= ?x1540 b_Infinity$))) (= (= ?x1540 b_Infinity$) $x5625))))
(let (($x5616 (= ?x1540 b_Infinity$)))
-(let (($x3493 (forall ((?v0 B_Vertex$) )(!(let (($x127 (= ?v0 b_Source$)))
-(or $x127 (= (v_b_SP_G_0$ ?v0) b_Infinity$))) :pattern ( (v_b_SP_G_0$ ?v0) )))
+(let (($x3493 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
+(or $x127 (= (v_b_SP_G_0$ ?v0) b_Infinity$))) :pattern ( (v_b_SP_G_0$ ?v0) ) :qid k!42))
))
-(let (($x360 (forall ((?v0 B_Vertex$) )(let (($x127 (= ?v0 b_Source$)))
-(or $x127 (= (v_b_SP_G_0$ ?v0) b_Infinity$))))
+(let (($x360 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
+(or $x127 (= (v_b_SP_G_0$ ?v0) b_Infinity$))) :qid k!42))
))
(let (($x127 (= ?0 b_Source$)))
(let (($x357 (or $x127 (= (v_b_SP_G_0$ ?0) b_Infinity$))))
-(let (($x138 (forall ((?v0 B_Vertex$) )(let (($x136 (v_b_Visited_G_0$ ?v0)))
-(not $x136)))
+(let (($x138 (forall ((?v0 B_Vertex$) )(! (let (($x136 (v_b_Visited_G_0$ ?v0)))
+(not $x136)) :qid k!42))
))
-(let (($x354 (forall ((?v0 B_Vertex$) )(let (($x127 (= ?v0 b_Source$)))
+(let (($x354 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
-(or $x132 (= (v_b_SP_G_0$ ?v0) 0)))))
+(or $x132 (= (v_b_SP_G_0$ ?v0) 0)))) :qid k!42))
))
(let (($x890 (and $x354 $x360 $x138)))
-(let (($x1329 (forall ((?v0 B_Vertex$) )(let (($x1323 (exists ((?v1 B_Vertex$) )(let ((?x303 (v_b_SP_G_2$ ?v0)))
-(let ((?x1263 (* (- 1) ?x303)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x1329 (forall ((?v0 B_Vertex$) )(! (let (($x1323 (exists ((?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1306 (= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x1306 (= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x1262 (>= (+ ?x273 ?x1263) 0)))
+(let (($x1262 (>= (+ ?x273 (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
(let (($x1309 (not $x1262)))
-(and $x1309 $x291 $x1306))))))))))
+(and $x1309 $x291 $x1306))))))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x1300 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))))
-(or (not $x1300) $x1323))))))
+(or (not $x1300) $x1323))))) :qid k!42))
))
-(let (($x1289 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x303 (v_b_SP_G_2$ ?v0)))
-(let ((?x1263 (* (- 1) ?x303)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x1289 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x1282 (>= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
(let (($x923 (not $x922)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x1276 (and $x291 $x923)))
(let (($x1279 (not $x1276)))
-(or $x1279 $x1282))))))))))))
+(or $x1279 $x1282))))))))) :qid k!42))
))
(let (($x1292 (not $x1289)))
(let (($x1332 (or $x1292 $x1329)))
(let (($x1335 (and $x1289 $x1332)))
-(let (($x1270 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x1262 (>= (+ (v_b_SP_G_2$ ?v1) (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
-(let (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
+(let (($x1270 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x1262 (>= (+ (v_b_SP_G_2$ ?v1) (* (- 1) (v_b_SP_G_2$ ?v0))) 0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x300 (not $x291)))
-(let (($x302 (and $x300 $x301)))
+(let (($x302 (and $x300 (fun_app$ v_b_Visited_G_2$ ?v0))))
(let (($x664 (not $x302)))
-(or $x664 $x1262))))))))
+(or $x664 $x1262)))))) :qid k!42))
))
(let (($x1273 (not $x1270)))
(let (($x1338 (or $x1273 $x1335)))
(let (($x1341 (and $x1270 $x1338)))
-(let (($x1256 (forall ((?v0 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v0)))
-(>= ?x273 0)))
+(let (($x1256 (forall ((?v0 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v0)))
+(>= ?x273 0)) :qid k!42))
))
(let (($x1259 (not $x1256)))
(let (($x1344 (or $x1259 $x1341)))
(let (($x1347 (and $x1256 $x1344)))
(let (($x1350 (or $x773 $x1347)))
(let (($x1353 (and $x297 $x1350)))
-(let (($x652 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x652 (forall ((?v0 B_Vertex$) )(! (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)))))))
+(or $x300 $x278)))))) :qid k!42))
))
(let (($x785 (not $x652)))
(let (($x1356 (or $x785 $x1353)))
(let (($x1359 (and $x652 $x1356)))
-(let (($x1247 (forall ((?v0 B_Vertex$) )(>= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) (v_b_SP_G_2$ ?v0))) 0))
+(let (($x1247 (forall ((?v0 B_Vertex$) )(! (>= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) (v_b_SP_G_2$ ?v0))) 0) :qid k!42))
))
(let (($x1250 (not $x1247)))
(let (($x1362 (or $x1250 $x1359)))
(let (($x1365 (and $x1247 $x1362)))
-(let (($x1199 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x1199 (forall ((?v0 B_Vertex$) )(! (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$)))
@@ -409,9 +407,9 @@
(let (($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 (($x1179 (and (not $x1169) (not $x1175))))
-(or $x1179 $x278))))))))))
+(or $x1179 $x278))))))))) :qid k!42))
))
-(let (($x1193 (forall ((?v0 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let (($x1193 (forall ((?v0 B_Vertex$) )(! (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$)))
@@ -419,26 +417,26 @@
(let (($x1175 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) ?x257) (* (- 1) ?x268)) 0)))
(let (($x1179 (and (not (<= (+ b_Infinity$ (* (- 1) ?x268)) 0)) (not $x1175))))
(let (($x1182 (not $x1179)))
-(or $x1182 $x1185))))))))))
+(or $x1182 $x1185))))))))) :qid k!42))
))
-(let (($x1209 (forall ((?v0 B_Vertex$) )(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
+(let (($x1209 (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)))))))
+(or $x178 (>= (+ ?x174 ?x1173) 0)))))) :qid k!42))
))
(let (($x1214 (not $x1213)))
(let (($x256 (not $x255)))
-(let (($x1080 (exists ((?v0 B_Vertex$) )(let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x1080 (exists ((?v0 B_Vertex$) )(! (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)))
-(and $x179 $x1003))))))
+(and $x179 $x1003))))) :qid k!42))
))
(let (($x1235 (and $x1080 $x256 $x1214 $x1209 $x266 $x1193 $x1199)))
(let (($x1240 (not $x1235)))
(let (($x1368 (or $x1240 $x1365)))
-(let (($x1146 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x1146 (forall ((?v0 B_Vertex$) (?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)))
@@ -447,14 +445,14 @@
(let (($x1100 (not $x1099)))
(let (($x1134 (and $x1100 $x923)))
(let (($x1137 (not $x1134)))
-(or $x1137 $x1140)))))))))))
+(or $x1137 $x1140)))))))))) :qid k!42))
))
(let (($x1149 (not $x1146)))
(let (($x1152 (or $x1149 $x246)))
(let (($x1155 (and $x1146 $x1152)))
-(let (($x1128 (forall ((?v0 B_Vertex$) )(let (($x1122 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x1128 (forall ((?v0 B_Vertex$) )(! (let (($x1122 (exists ((?v1 B_Vertex$) )(! (let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(and (not (>= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)) (= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)))))
+(and (not (>= (+ ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)) (= (+ ?x155 ?x230 (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)))) :qid k!42))
))
(let (($x1099 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_3$ ?v0))) 0)))
(let (($x1100 (not $x1099)))
@@ -462,7 +460,7 @@
(let (($x132 (not $x127)))
(let (($x1103 (and $x132 $x1100)))
(let (($x1106 (not $x1103)))
-(or $x1106 $x1122)))))))))
+(or $x1106 $x1122)))))))) :qid k!42))
))
(let (($x1131 (not $x1128)))
(let (($x1158 (or $x1131 $x1155)))
@@ -472,13 +470,15 @@
(let (($x1094 (not $x1089)))
(let (($x1164 (or $x1094 $x1161)))
(let (($x1371 (and $x1164 $x1368)))
-(let (($x1037 (forall ((?v0 B_Vertex$) )(let (($x1031 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x1037 (forall ((?v0 B_Vertex$) )(! (let (($x1031 (exists ((?v1 B_Vertex$) )(! (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 (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x1012 (= (+ ?x155 ?x174 ?x991) 0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x1015 (>= (+ ?x174 ?x991) 0)))
(let (($x1017 (not $x1015)))
-(and $x1017 $x178 $x1012))))))))
+(and $x1017 $x178 $x1012))))))))) :qid k!42))
))
(let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
(let (($x1003 (not $x1002)))
@@ -486,49 +486,53 @@
(let (($x132 (not $x127)))
(let (($x1006 (and $x132 $x1003)))
(let (($x1009 (not $x1006)))
-(or $x1009 $x1031)))))))))
+(or $x1009 $x1031)))))))) :qid k!42))
))
-(let (($x997 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x997 (forall ((?v0 B_Vertex$) (?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 (($x990 (>= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x990 (>= (+ ?x155 ?x174 ?x991) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
(let (($x923 (not $x922)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x983 (and $x178 $x923)))
(let (($x986 (not $x983)))
-(or $x986 $x990))))))))))
+(or $x986 $x990))))))))))) :qid k!42))
))
-(let (($x1045 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x1045 (forall ((?v0 B_Vertex$) (?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 (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x179 (not $x178)))
(let (($x181 (and $x179 $x180)))
(let (($x403 (not $x181)))
-(or $x403 $x1015)))))))))
+(or $x403 $x1015)))))))))) :qid k!42))
))
-(let (($x1051 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
-(>= ?x174 0)))
+(let (($x1051 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(>= ?x174 0)) :qid k!42))
))
-(let (($x980 (forall ((?v0 B_Vertex$) )(let (($x974 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x980 (forall ((?v0 B_Vertex$) )(! (let (($x974 (exists ((?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(let (($x957 (= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0)) ?x155) 0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x907 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
(let (($x960 (not $x907)))
-(and $x960 $x136 $x957))))))))
+(and $x960 $x136 $x957))))))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x951 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))))
(let (($x954 (not $x951)))
-(or $x954 $x974)))))))
+(or $x954 $x974)))))) :qid k!42))
))
(let (($x1069 (and $x980 $x173 $x1051 $x1045 $x997 $x1037)))
(let (($x1074 (not $x1069)))
(let (($x1374 (or $x1074 $x1371)))
(let (($x1377 (and $x980 $x1374)))
-(let (($x939 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x939 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(let (($x933 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0)) ?x155) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
@@ -536,24 +540,24 @@
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x926 (and $x136 $x923)))
(let (($x929 (not $x926)))
-(or $x929 $x933))))))))))
+(or $x929 $x933))))))))) :qid k!42))
))
(let (($x942 (not $x939)))
(let (($x1380 (or $x942 $x1377)))
(let (($x1383 (and $x939 $x1380)))
-(let (($x914 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
+(let (($x914 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
(let (($x148 (v_b_Visited_G_0$ ?v0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x137 (not $x136)))
(let (($x149 (and $x137 $x148)))
(let (($x382 (not $x149)))
-(or $x382 $x907))))))))
+(or $x382 $x907))))))) :qid k!42))
))
(let (($x917 (not $x914)))
(let (($x1386 (or $x917 $x1383)))
(let (($x1389 (and $x914 $x1386)))
-(let (($x899 (forall ((?v0 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v0)))
-(>= ?x128 0)))
+(let (($x899 (forall ((?v0 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v0)))
+(>= ?x128 0)) :qid k!42))
))
(let (($x902 (not $x899)))
(let (($x1392 (or $x902 $x1389)))
@@ -564,60 +568,59 @@
(let (($x1398 (or $x869 $x1395)))
(let (($x1401 (and $x145 $x1398)))
(let (($x1407 (not (or (not $x890) $x1401))))
-(let (($x320 (forall ((?v0 B_Vertex$) )(let (($x318 (exists ((?v1 B_Vertex$) )(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x320 (forall ((?v0 B_Vertex$) )(! (let (($x318 (exists ((?v1 B_Vertex$) )(! (let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x316 (and $x291 (= (v_b_SP_G_2$ ?v0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?v0)))))))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
(let ((?x273 (v_b_SP_G_2$ ?v1)))
(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x316)))))))
+(and $x314 $x316)))))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x313 (and $x132 (< (v_b_SP_G_2$ ?v0) b_Infinity$))))
-(=> $x313 $x318))))))
+(=> $x313 $x318))))) :qid k!42))
))
(let (($x321 (and $x320 false)))
(let (($x322 (=> $x321 true)))
(let (($x323 (and $x320 $x322)))
-(let (($x311 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x311 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x308 (+ ?x273 ?x155)))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
(let (($x156 (< ?x155 b_Infinity$)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x307 (and $x291 $x156)))
-(=> $x307 (<= ?x303 ?x308))))))))))
+(=> $x307 (<= ?x303 ?x308))))))))) :qid k!42))
))
(let (($x324 (=> $x311 $x323)))
-(let (($x306 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x306 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
(let (($x304 (<= ?x303 ?x273)))
-(let (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x300 (not $x291)))
-(let (($x302 (and $x300 $x301)))
-(=> $x302 $x304)))))))))
+(let (($x302 (and $x300 (fun_app$ v_b_Visited_G_2$ ?v0))))
+(=> $x302 $x304))))))) :qid k!42))
))
(let (($x326 (=> $x306 (and $x311 $x324))))
-(let (($x299 (forall ((?v0 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v0)))
-(<= 0 ?x273)))
+(let (($x299 (forall ((?v0 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v0)))
+(<= 0 ?x273)) :qid k!42))
))
(let (($x328 (=> $x299 (and $x306 $x326))))
(let (($x330 (=> $x297 (and $x299 $x328))))
-(let (($x293 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x293 (forall ((?v0 B_Vertex$) )(! (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)))
-(=> $x291 $x278))))))
+(=> $x291 $x278))))) :qid k!42))
))
(let (($x295 (and $x293 (and true true))))
(let (($x332 (=> $x295 (and $x297 $x330))))
-(let (($x290 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x290 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let ((?x273 (v_b_SP_G_2$ ?v0)))
-(<= ?x273 ?x174))))
+(<= ?x273 ?x174))) :qid k!42))
))
(let (($x334 (=> $x290 (and $x293 $x332))))
-(let (($x280 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x280 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let ((?x273 (v_b_SP_G_2$ ?v0)))
(let (($x278 (= ?x273 ?x174)))
(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
@@ -625,58 +628,58 @@
(let ((?x270 (+ ?x257 ?x268)))
(let (($x272 (and (< ?x268 b_Infinity$) (< ?x270 ?x174))))
(let (($x277 (not $x272)))
-(=> $x277 $x278))))))))))
+(=> $x277 $x278))))))))) :qid k!42))
))
-(let (($x276 (forall ((?v0 B_Vertex$) )(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
+(let (($x276 (forall ((?v0 B_Vertex$) )(! (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$)))
(let ((?x270 (+ ?x257 ?x268)))
(let ((?x273 (v_b_SP_G_2$ ?v0)))
(let (($x274 (= ?x273 ?x270)))
(let (($x272 (and (< ?x268 b_Infinity$) (< ?x270 (fun_app$c v_b_SP_G_1$ ?v0)))))
-(=> $x272 $x274))))))))
+(=> $x272 $x274))))))) :qid k!42))
))
-(let (($x261 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x261 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
(let (($x259 (<= ?x257 ?x174)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
(let (($x179 (not $x178)))
-(=> $x179 $x259)))))))
+(=> $x179 $x259)))))) :qid k!42))
))
(let (($x258 (< ?x257 b_Infinity$)))
-(let (($x209 (exists ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x209 (exists ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x191 (< ?x174 b_Infinity$)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
(let (($x179 (not $x178)))
-(and $x179 $x191))))))
+(and $x179 $x191))))) :qid k!42))
))
(let (($x286 (and $x209 (and $x256 (and $x258 (and $x261 (and $x266 (and $x276 $x280))))))))
(let (($x287 (and true $x286)))
(let (($x288 (and true $x287)))
(let (($x336 (=> $x288 (and $x290 $x334))))
(let (($x248 (and $x246 (=> $x246 true))))
-(let (($x244 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x244 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
(let ((?x235 (+ ?x230 ?x155)))
(let ((?x233 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x156 (< ?x155 b_Infinity$)))
(let (($x231 (< ?x230 b_Infinity$)))
(let (($x241 (and $x231 $x156)))
-(=> $x241 (<= ?x233 ?x235))))))))))
+(=> $x241 (<= ?x233 ?x235))))))))) :qid k!42))
))
(let (($x249 (=> $x244 $x248)))
-(let (($x240 (forall ((?v0 B_Vertex$) )(let (($x238 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x240 (forall ((?v0 B_Vertex$) )(! (let (($x238 (exists ((?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
(let ((?x235 (+ ?x230 ?x155)))
(let ((?x233 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x234 (< ?x230 ?x233)))
-(and $x234 (= ?x233 ?x235))))))))
+(and $x234 (= ?x233 ?x235))))))) :qid k!42))
))
(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x231 (< ?x230 b_Infinity$)))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x232 (and $x132 $x231)))
-(=> $x232 $x238))))))))
+(=> $x232 $x238))))))) :qid k!42))
))
(let (($x251 (=> $x240 (and $x244 $x249))))
(let (($x225 (and true (and $x212 (and $x215 (and $x217 (and $x220 true)))))))
@@ -685,91 +688,91 @@
(let (($x228 (and true (and $x210 $x226))))
(let (($x229 (and true $x228)))
(let (($x253 (=> $x229 (and $x240 $x251))))
-(let (($x199 (forall ((?v0 B_Vertex$) )(let (($x197 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x199 (forall ((?v0 B_Vertex$) )(! (let (($x197 (exists ((?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x187 (+ ?x174 ?x155)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x193 (< ?x174 ?x182)))
-(and $x193 (and $x178 (= ?x182 ?x187))))))))))
+(and $x193 (and $x178 (= ?x182 ?x187))))))))) :qid k!42))
))
(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x191 (< ?x174 b_Infinity$)))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x192 (and $x132 $x191)))
-(=> $x192 $x197))))))))
+(=> $x192 $x197))))))) :qid k!42))
))
(let (($x200 (and $x199 true)))
-(let (($x190 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x190 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x187 (+ ?x174 ?x155)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x156 (< ?x155 b_Infinity$)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x186 (and $x178 $x156)))
-(=> $x186 (<= ?x182 ?x187))))))))))
+(=> $x186 (<= ?x182 ?x187))))))))) :qid k!42))
))
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(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x183 (<= ?x182 ?x174)))
(let (($x180 (fun_app$ v_b_Visited_G_1$ ?v0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x179 (not $x178)))
(let (($x181 (and $x179 $x180)))
-(=> $x181 $x183)))))))))
+(=> $x181 $x183)))))))) :qid k!42))
))
-(let (($x176 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
-(<= 0 ?x174)))
+(let (($x176 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(<= 0 ?x174)) :qid k!42))
))
(let (($x205 (and true (and $x173 (and $x176 (and $x185 (and $x190 $x200)))))))
(let (($x206 (and true $x205)))
-(let (($x170 (forall ((?v0 B_Vertex$) )(let (($x168 (exists ((?v1 B_Vertex$) )(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x170 (forall ((?v0 B_Vertex$) )(! (let (($x168 (exists ((?v1 B_Vertex$) )(! (let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x166 (and $x136 (= (v_b_SP_G_0$ ?v0) (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?v0)))))))
-(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?v0)) $x166))))
+(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?v0)) $x166))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x163 (and $x132 (< (v_b_SP_G_0$ ?v0) b_Infinity$))))
-(=> $x163 $x168))))))
+(=> $x163 $x168))))) :qid k!42))
))
(let (($x338 (=> (and $x170 $x206) (and $x253 $x336))))
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(let (($x159 (<= ?x150 (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?v0))))))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let (($x156 (< ?x155 b_Infinity$)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x157 (and $x136 $x156)))
-(=> $x157 $x159))))))))
+(=> $x157 $x159))))))) :qid k!42))
))
(let (($x340 (=> $x161 (and $x170 $x338))))
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+(let (($x153 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v1)))
(let ((?x150 (v_b_SP_G_0$ ?v0)))
(let (($x151 (<= ?x150 ?x128)))
(let (($x148 (v_b_Visited_G_0$ ?v0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x137 (not $x136)))
(let (($x149 (and $x137 $x148)))
-(=> $x149 $x151)))))))))
+(=> $x149 $x151)))))))) :qid k!42))
))
(let (($x342 (=> $x153 (and $x161 $x340))))
-(let (($x147 (forall ((?v0 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v0)))
-(<= 0 ?x128)))
+(let (($x147 (forall ((?v0 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v0)))
+(<= 0 ?x128)) :qid k!42))
))
(let (($x344 (=> $x147 (and $x153 $x342))))
(let (($x346 (=> $x145 (and $x147 $x344))))
-(let (($x135 (forall ((?v0 B_Vertex$) )(let (($x127 (= ?v0 b_Source$)))
+(let (($x135 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
-(=> $x132 (= (v_b_SP_G_0$ ?v0) b_Infinity$)))))
+(=> $x132 (= (v_b_SP_G_0$ ?v0) b_Infinity$)))) :qid k!42))
))
-(let (($x131 (forall ((?v0 B_Vertex$) )(let (($x127 (= ?v0 b_Source$)))
-(=> $x127 (= (v_b_SP_G_0$ ?v0) 0))))
+(let (($x131 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
+(=> $x127 (= (v_b_SP_G_0$ ?v0) 0))) :qid k!42))
))
(let (($x142 (and true (and $x131 (and $x135 (and $x138 true))))))
(let (($x143 (and true $x142)))
(let (($x348 (=> $x143 (and $x145 $x346))))
(let (($x349 (not $x348)))
-(let (($x710 (forall ((?v0 B_Vertex$) )(let (($x698 (exists ((?v1 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v1)))
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(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x671 (+ ?x155 ?x273)))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
@@ -777,31 +780,30 @@
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x692 (and $x291 $x689)))
(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x692))))))))))
+(and $x314 $x692))))))))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x313 (and $x132 (< (v_b_SP_G_2$ ?v0) b_Infinity$))))
-(or (not $x313) $x698))))))
+(or (not $x313) $x698))))) :qid k!42))
))
-(let (($x686 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x686 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x671 (+ ?x155 ?x273)))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
(let (($x674 (<= ?x303 ?x671)))
-(or (not (and (fun_app$ v_b_Visited_G_2$ ?v1) (< ?x155 b_Infinity$))) $x674)))))))
+(or (not (and (fun_app$ v_b_Visited_G_2$ ?v1) (< ?x155 b_Infinity$))) $x674)))))) :qid k!42))
))
(let (($x738 (or (not $x686) $x710)))
(let (($x743 (and $x686 $x738)))
-(let (($x668 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x668 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x303 (v_b_SP_G_2$ ?v0)))
(let (($x304 (<= ?x303 ?x273)))
-(let (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x300 (not $x291)))
-(let (($x302 (and $x300 $x301)))
+(let (($x302 (and $x300 (fun_app$ v_b_Visited_G_2$ ?v0))))
(let (($x664 (not $x302)))
-(or $x664 $x304))))))))))
+(or $x664 $x304)))))))) :qid k!42))
))
(let (($x750 (or (not $x668) $x743)))
(let (($x755 (and $x668 $x750)))
@@ -813,66 +815,66 @@
(let (($x791 (and $x652 $x786)))
(let (($x798 (or (not $x290) $x791)))
(let (($x803 (and $x290 $x798)))
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(let ((?x273 (v_b_SP_G_2$ ?v0)))
(let (($x278 (= ?x273 ?x174)))
(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
(let ((?x270 (+ ?x257 ?x268)))
(let (($x272 (and (< ?x268 b_Infinity$) (< ?x270 ?x174))))
-(or $x272 $x278)))))))))
+(or $x272 $x278)))))))) :qid k!42))
))
-(let (($x611 (forall ((?v0 B_Vertex$) )(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
+(let (($x611 (forall ((?v0 B_Vertex$) )(! (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$)))
(let ((?x270 (+ ?x257 ?x268)))
(let ((?x273 (v_b_SP_G_2$ ?v0)))
(let (($x274 (= ?x273 ?x270)))
(let (($x272 (and (< ?x268 b_Infinity$) (< ?x270 (fun_app$c v_b_SP_G_1$ ?v0)))))
(let (($x277 (not $x272)))
-(or $x277 $x274)))))))))
+(or $x277 $x274)))))))) :qid k!42))
))
(let (($x620 (and $x611 $x617)))
(let (($x623 (and $x266 $x620)))
-(let (($x605 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
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(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
(let (($x259 (<= ?x257 ?x174)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(or $x178 $x259))))))
+(or $x178 $x259))))) :qid k!42))
))
(let (($x626 (and $x605 $x623)))
(let (($x629 (and $x258 $x626)))
(let (($x632 (and $x256 $x629)))
(let (($x635 (and $x209 $x632)))
(let (($x810 (or (not $x635) $x803)))
-(let (($x557 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
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(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x521 (+ ?x155 ?x230)))
(let ((?x233 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x545 (<= ?x233 ?x521)))
-(or (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x545)))))))
+(or (not (and (< ?x230 b_Infinity$) (< ?x155 b_Infinity$))) $x545)))))) :qid k!42))
))
(let (($x573 (or (not $x557) $x246)))
(let (($x578 (and $x557 $x573)))
-(let (($x542 (forall ((?v0 B_Vertex$) )(let (($x530 (exists ((?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x542 (forall ((?v0 B_Vertex$) )(! (let (($x530 (exists ((?v1 B_Vertex$) )(! (let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x521 (+ ?x155 ?x230)))
(let ((?x233 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x524 (= ?x233 ?x521)))
(let (($x234 (< ?x230 ?x233)))
-(and $x234 $x524))))))))
+(and $x234 $x524))))))) :qid k!42))
))
(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
(let (($x231 (< ?x230 b_Infinity$)))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x232 (and $x132 $x231)))
-(or (not $x232) $x530))))))))
+(or (not $x232) $x530))))))) :qid k!42))
))
(let (($x585 (or (not $x542) $x578)))
(let (($x590 (and $x542 $x585)))
(let (($x597 (or (not (and $x210 (and $x212 (and $x215 (and $x217 $x220))))) $x590)))
(let (($x815 (and $x597 $x810)))
-(let (($x449 (forall ((?v0 B_Vertex$) )(let (($x437 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x449 (forall ((?v0 B_Vertex$) )(! (let (($x437 (exists ((?v1 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x410 (+ ?x155 ?x174)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
@@ -880,24 +882,24 @@
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x431 (and $x178 $x428)))
(let (($x193 (< ?x174 ?x182)))
-(and $x193 $x431))))))))))
+(and $x193 $x431))))))))) :qid k!42))
))
(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x191 (< ?x174 b_Infinity$)))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x192 (and $x132 $x191)))
-(or (not $x192) $x437))))))))
+(or (not $x192) $x437))))))) :qid k!42))
))
-(let (($x425 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x425 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x410 (+ ?x155 ?x174)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x413 (<= ?x182 ?x410)))
-(or (not (and (fun_app$ v_b_Visited_G_1$ ?v1) (< ?x155 b_Infinity$))) $x413)))))))
+(or (not (and (fun_app$ v_b_Visited_G_1$ ?v1) (< ?x155 b_Infinity$))) $x413)))))) :qid k!42))
))
(let (($x459 (and $x425 $x449)))
-(let (($x407 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x407 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?v0)))
(let (($x183 (<= ?x182 ?x174)))
(let (($x180 (fun_app$ v_b_Visited_G_1$ ?v0)))
@@ -905,34 +907,34 @@
(let (($x179 (not $x178)))
(let (($x181 (and $x179 $x180)))
(let (($x403 (not $x181)))
-(or $x403 $x183))))))))))
+(or $x403 $x183))))))))) :qid k!42))
))
(let (($x462 (and $x407 $x459)))
(let (($x465 (and $x176 $x462)))
(let (($x468 (and $x173 $x465)))
-(let (($x400 (forall ((?v0 B_Vertex$) )(let (($x168 (exists ((?v1 B_Vertex$) )(let (($x136 (v_b_Visited_G_0$ ?v1)))
+(let (($x400 (forall ((?v0 B_Vertex$) )(! (let (($x168 (exists ((?v1 B_Vertex$) )(! (let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x166 (and $x136 (= (v_b_SP_G_0$ ?v0) (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?v0)))))))
-(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?v0)) $x166))))
+(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?v0)) $x166))) :qid k!42))
))
(let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
(let (($x163 (and $x132 (< (v_b_SP_G_0$ ?v0) b_Infinity$))))
-(or (not $x163) $x168))))))
+(or (not $x163) $x168))))) :qid k!42))
))
(let (($x482 (and $x400 $x468)))
(let (($x822 (or (not $x482) $x815)))
(let (($x827 (and $x400 $x822)))
-(let (($x393 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x150 (v_b_SP_G_0$ ?v0)))
+(let (($x393 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x150 (v_b_SP_G_0$ ?v0)))
(let (($x159 (<= ?x150 (+ (v_b_SP_G_0$ ?v1) (b_G$ (pair$ ?v1 ?v0))))))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let (($x156 (< ?x155 b_Infinity$)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x157 (and $x136 $x156)))
-(or (not $x157) $x159))))))))
+(or (not $x157) $x159))))))) :qid k!42))
))
(let (($x834 (or (not $x393) $x827)))
(let (($x839 (and $x393 $x834)))
-(let (($x386 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v1)))
+(let (($x386 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v1)))
(let ((?x150 (v_b_SP_G_0$ ?v0)))
(let (($x151 (<= ?x150 ?x128)))
(let (($x148 (v_b_Visited_G_0$ ?v0)))
@@ -940,7 +942,7 @@
(let (($x137 (not $x136)))
(let (($x149 (and $x137 $x148)))
(let (($x382 (not $x149)))
-(or $x382 $x151))))))))))
+(or $x382 $x151))))))))) :qid k!42))
))
(let (($x846 (or (not $x386) $x839)))
(let (($x851 (and $x386 $x846)))
@@ -949,19 +951,17 @@
(let (($x870 (or $x869 $x863)))
(let (($x875 (and $x145 $x870)))
(let (($x882 (or (not (and $x354 (and $x360 $x138))) $x875)))
-(let (($x1323 (exists ((?v1 B_Vertex$) )(let ((?x303 (v_b_SP_G_2$ ?0)))
-(let ((?x1263 (* (- 1) ?x303)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x1323 (exists ((?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
-(let (($x1306 (= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x1306 (= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?0))) 0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
-(let (($x1262 (>= (+ ?x273 ?x1263) 0)))
+(let (($x1262 (>= (+ ?x273 (* (- 1) (v_b_SP_G_2$ ?0))) 0)))
(let (($x1309 (not $x1262)))
-(and $x1309 $x291 $x1306))))))))))
+(and $x1309 $x291 $x1306))))))) :qid k!42))
))
(let (($x132 (not $x127)))
(let (($x1300 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) (v_b_SP_G_2$ ?0))) 0)))))
-(let (($x698 (exists ((?v1 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x698 (exists ((?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
(let ((?x671 (+ ?x155 ?x273)))
(let ((?x303 (v_b_SP_G_2$ ?0)))
@@ -969,19 +969,18 @@
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x692 (and $x291 $x689)))
(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x692))))))))))
+(and $x314 $x692))))))))) :qid k!42))
))
(let (($x705 (or (not (and $x132 (< (v_b_SP_G_2$ ?0) b_Infinity$))) $x698)))
-(let ((?x303 (v_b_SP_G_2$ ?1)))
-(let ((?x1263 (* (- 1) ?x303)))
(let ((?x273 (v_b_SP_G_2$ ?0)))
(let ((?x155 (b_G$ (pair$ ?0 ?1))))
-(let (($x1306 (= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x1306 (= (+ ?x155 ?x273 (* (- 1) (v_b_SP_G_2$ ?1))) 0)))
(let (($x291 (fun_app$ v_b_Visited_G_2$ ?0)))
-(let (($x1262 (>= (+ ?x273 ?x1263) 0)))
+(let (($x1262 (>= (+ ?x273 (* (- 1) (v_b_SP_G_2$ ?1))) 0)))
(let (($x1309 (not $x1262)))
(let (($x1318 (and $x1309 $x291 $x1306)))
(let ((?x671 (+ ?x155 ?x273)))
+(let ((?x303 (v_b_SP_G_2$ ?1)))
(let (($x689 (= ?x303 ?x671)))
(let (($x692 (and $x291 $x689)))
(let (($x314 (< ?x273 ?x303)))
@@ -992,7 +991,7 @@
(let ((@x1302 (monotonicity (rewrite $x1298) (= (and $x132 (< ?x273 b_Infinity$)) $x1300))))
(let ((@x1305 (monotonicity @x1302 (= (not (and $x132 (< ?x273 b_Infinity$))) (not $x1300)))))
(let ((@x1328 (monotonicity @x1305 (quant-intro @x1322 (= $x698 $x1323)) (= $x705 (or (not $x1300) $x1323)))))
-(let (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($x1282 (>= (+ ?x155 ?x273 (* (- 1) ?x303)) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
(let (($x923 (not $x922)))
(let (($x1276 (and $x291 $x923)))
@@ -1004,9 +1003,8 @@
(let ((@x1281 (monotonicity (monotonicity @x925 (= (and $x291 (< ?x155 b_Infinity$)) $x1276)) (= (not (and $x291 (< ?x155 b_Infinity$))) $x1279))))
(let ((@x1291 (quant-intro (monotonicity @x1281 (rewrite (= $x674 $x1282)) (= $x681 $x1286)) (= $x686 $x1289))))
(let ((@x1334 (monotonicity (monotonicity @x1291 (= (not $x686) $x1292)) (quant-intro @x1328 (= $x710 $x1329)) (= $x738 $x1332))))
-(let (($x301 (fun_app$ v_b_Visited_G_2$ ?1)))
(let (($x300 (not $x291)))
-(let (($x302 (and $x300 $x301)))
+(let (($x302 (and $x300 (fun_app$ v_b_Visited_G_2$ ?1))))
(let (($x664 (not $x302)))
(let (($x1267 (or $x664 $x1262)))
(let (($x304 (<= ?x303 ?x273)))
@@ -1074,20 +1072,20 @@
(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 (($x1122 (exists ((?v1 B_Vertex$) )(! (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)))))
+(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))
))
(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 (($x530 (exists ((?v1 B_Vertex$) )(! (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))))))))
+(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))))
@@ -1107,18 +1105,20 @@
(let ((@x1166 (monotonicity @x1096 (monotonicity (quant-intro @x1127 (= $x542 $x1128)) @x1160 (= $x590 $x1161)) (= $x597 $x1164))))
(let (($x1070 (= (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))) $x1069)))
(let (($x1067 (= $x482 (and $x980 (and $x173 (and $x1051 (and $x1045 (and $x997 $x1037))))))))
-(let (($x1031 (exists ((?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x1031 (exists ((?v1 B_Vertex$) )(! (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 (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
+(let (($x1012 (= (+ ?x155 ?x174 ?x991) 0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?0))) 0)))
+(let (($x1015 (>= (+ ?x174 ?x991) 0)))
(let (($x1017 (not $x1015)))
-(and $x1017 $x178 $x1012))))))))
+(and $x1017 $x178 $x1012))))))))) :qid k!42))
))
(let (($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 (($x437 (exists ((?v1 B_Vertex$) )(! (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)))
@@ -1126,7 +1126,7 @@
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x431 (and $x178 $x428)))
(let (($x193 (< ?x174 ?x182)))
-(and $x193 $x431))))))))))
+(and $x193 $x431))))))))) :qid k!42))
))
(let (($x444 (or (not (and $x132 (< ?x174 b_Infinity$))) $x437)))
(let (($x1012 (= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?1))) 0)))
@@ -1162,20 +1162,20 @@
(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 (($x974 (exists ((?v1 B_Vertex$) )(! (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))))))))
+(and $x960 $x136 $x957))))))) :qid k!42))
))
(let (($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 (($x168 (exists ((?v1 B_Vertex$) )(! (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)) $x166))))
+(and (< (v_b_SP_G_0$ ?v1) (v_b_SP_G_0$ ?0)) $x166))) :qid k!42))
))
(let (($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)))
@@ -1219,12 +1219,12 @@
(let ((@x1400 (monotonicity (monotonicity @x901 @x1394 (= $x863 $x1395)) (= $x870 $x1398))))
(let ((@x895 (monotonicity (rewrite (= (and $x354 (and $x360 $x138)) $x890)) (= (not (and $x354 (and $x360 $x138))) (not $x890)))))
(let ((@x1406 (monotonicity @x895 (monotonicity @x1400 (= $x875 $x1401)) (= $x882 (or (not $x890) $x1401)))))
-(let (($x318 (exists ((?v1 B_Vertex$) )(let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
+(let (($x318 (exists ((?v1 B_Vertex$) )(! (let (($x291 (fun_app$ v_b_Visited_G_2$ ?v1)))
(let (($x316 (and $x291 (= (v_b_SP_G_2$ ?0) (+ (v_b_SP_G_2$ ?v1) (b_G$ (pair$ ?v1 ?0)))))))
(let ((?x303 (v_b_SP_G_2$ ?0)))
(let ((?x273 (v_b_SP_G_2$ ?v1)))
(let (($x314 (< ?x273 ?x303)))
-(and $x314 $x316)))))))
+(and $x314 $x316)))))) :qid k!42))
))
(let (($x313 (and $x132 (< ?x273 b_Infinity$))))
(let (($x319 (=> $x313 $x318)))
@@ -1267,12 +1267,12 @@
(let ((@x556 (trans (monotonicity @x547 (= $x243 (=> $x241 $x545))) (rewrite (= (=> $x241 $x545) $x552)) (= $x243 $x552))))
(let ((@x571 (monotonicity (quant-intro @x556 (= $x244 $x557)) (trans @x564 (rewrite (= (and $x246 true) $x246)) (= $x248 $x246)) (= $x249 (=> $x557 $x246)))))
(let ((@x580 (monotonicity (quant-intro @x556 (= $x244 $x557)) (trans @x571 (rewrite (= (=> $x557 $x246) $x573)) (= $x249 $x573)) (= (and $x244 $x249) $x578))))
-(let (($x238 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let (($x238 (exists ((?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?0))))
(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
(let ((?x235 (+ ?x230 ?x155)))
(let ((?x233 (fun_app$c v_b_SP_G_3$ ?0)))
(let (($x234 (< ?x230 ?x233)))
-(and $x234 (= ?x233 ?x235))))))))
+(and $x234 (= ?x233 ?x235))))))) :qid k!42))
))
(let (($x232 (and $x132 $x231)))
(let (($x239 (=> $x232 $x238)))
@@ -1290,13 +1290,13 @@
(let ((@x518 (monotonicity (trans @x512 (rewrite (= (and true $x507) $x507)) (= $x228 $x507)) (= $x229 (and true $x507)))))
(let ((@x595 (monotonicity (trans @x518 (rewrite (= (and true $x507) $x507)) (= $x229 $x507)) @x592 (= $x253 (=> $x507 $x590)))))
(let ((@x817 (monotonicity (trans @x595 (rewrite (= (=> $x507 $x590) $x597)) (= $x253 $x597)) (trans @x808 (rewrite (= (=> $x635 $x803) $x810)) (= $x336 $x810)) (= (and $x253 $x336) $x815))))
-(let (($x197 (exists ((?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?0))))
+(let (($x197 (exists ((?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?0))))
(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
(let ((?x187 (+ ?x174 ?x155)))
(let ((?x182 (fun_app$c v_b_SP_G_1$ ?0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v1)))
(let (($x193 (< ?x174 ?x182)))
-(and $x193 (and $x178 (= ?x182 ?x187))))))))))
+(and $x193 (and $x178 (= ?x182 ?x187))))))))) :qid k!42))
))
(let (($x191 (< ?x174 b_Infinity$)))
(let (($x192 (and $x132 $x191)))
@@ -1345,13 +1345,13 @@
(let (($x3544 (not $x3541)))
(let (($x3827 (or $x3544 $x3824)))
(let (($x3830 (not $x3827)))
-(let (($x3524 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x3524 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(let (($x933 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0)) ?x155) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x137 (not $x136)))
-(or $x137 $x922 $x933))))))) :pattern ( (pair$ ?v1 ?v0) )))
+(or $x137 $x922 $x933))))))) :pattern ( (pair$ ?v1 ?v0) ) :qid k!42))
))
(let (($x3529 (not $x3524)))
(let (($x3833 (or $x3529 $x3830)))
@@ -1367,8 +1367,8 @@
(let (($x1512 (v_b_Visited_G_0$ ?v1!3)))
(let (($x2394 (not $x1512)))
(let (($x2409 (or $x2394 $x1517 $x2048)))
-(let (($x3500 (forall ((?v0 B_Vertex$) )(!(let (($x136 (v_b_Visited_G_0$ ?v0)))
-(not $x136)) :pattern ( (v_b_Visited_G_0$ ?v0) )))
+(let (($x3500 (forall ((?v0 B_Vertex$) )(! (let (($x136 (v_b_Visited_G_0$ ?v0)))
+(not $x136)) :pattern ( (v_b_Visited_G_0$ ?v0) ) :qid k!42))
))
(let ((@x1468 (mp~ (and-elim @x1413 $x138) (nnf-pos (refl (~ $x137 $x137)) (~ $x138 $x138)) $x138)))
(let ((@x3505 (mp @x1468 (quant-intro (refl (= $x137 $x137)) (= $x138 $x3500)) $x3500)))
@@ -1376,9 +1376,9 @@
(let (($x2414 (not $x2409)))
(let (($x3839 (or $x2414 $x3836)))
(let (($x3842 (not $x3839)))
-(let (($x3515 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
+(let (($x3515 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))) :pattern ( (v_b_Visited_G_0$ ?v1) (v_b_Visited_G_0$ ?v0) )))
+(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))) :pattern ( (v_b_Visited_G_0$ ?v1) (v_b_Visited_G_0$ ?v0) ) :qid k!42))
))
(let (($x3520 (not $x3515)))
(let (($x3845 (or $x3520 $x3842)))
@@ -1391,8 +1391,8 @@
(let (($x2368 (not $x2363)))
(let (($x3851 (or $x2368 $x3848)))
(let (($x3854 (not $x3851)))
-(let (($x3506 (forall ((?v0 B_Vertex$) )(!(let ((?x128 (v_b_SP_G_0$ ?v0)))
-(>= ?x128 0)) :pattern ( (v_b_SP_G_0$ ?v0) )))
+(let (($x3506 (forall ((?v0 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v0)))
+(>= ?x128 0)) :pattern ( (v_b_SP_G_0$ ?v0) ) :qid k!42))
))
(let (($x3511 (not $x3506)))
(let (($x3857 (or $x3511 $x3854)))
@@ -1411,9 +1411,9 @@
(let (($x5589 (= ?v0!0 b_Source$)))
(let (($x4695 (not $x5589)))
(let ((@x5096 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x1475 0)) $x1476)) @x5848 (not (= ?x1475 0)))))
-(let (($x3487 (forall ((?v0 B_Vertex$) )(!(let (($x127 (= ?v0 b_Source$)))
+(let (($x3487 (forall ((?v0 B_Vertex$) )(! (let (($x127 (= ?v0 b_Source$)))
(let (($x132 (not $x127)))
-(or $x132 (= (v_b_SP_G_0$ ?v0) 0)))) :pattern ( (v_b_SP_G_0$ ?v0) )))
+(or $x132 (= (v_b_SP_G_0$ ?v0) 0)))) :pattern ( (v_b_SP_G_0$ ?v0) ) :qid k!42))
))
(let ((@x3491 (quant-intro (refl (= (or $x132 (= ?x128 0)) (or $x132 (= ?x128 0)))) (= $x354 $x3487))))
(let ((@x1457 (nnf-pos (refl (~ (or $x132 (= ?x128 0)) (or $x132 (= ?x128 0)))) (~ $x354 $x354))))
@@ -1441,31 +1441,28 @@
(let ((@x5431 (trans @x5373 (rewrite (= $x3194 $x3194)) (= (or $x5983 (or (not (= b_Source$ b_Source$)) $x145)) $x3194))))
(let ((@x5763 (mp ((_ quant-inst b_Source$) (or $x5983 (or (not (= b_Source$ b_Source$)) $x145))) @x5431 $x3194)))
(let (($x3875 (or $x869 $x3872)))
-(let (($x2848 (forall ((?v1 B_Vertex$) )(let ((?x1911 (v_b_SP_G_2$ ?v0!20)))
+(let (($x2848 (forall ((?v1 B_Vertex$) )(! (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)))))))))
+(or (>= (+ ?x273 ?x1912) 0) $x300 (not $x2242)))))))) :qid k!42))
))
-(let (($x2833 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x303 (v_b_SP_G_2$ ?v0)))
-(let ((?x1263 (* (- 1) ?x303)))
-(let ((?x273 (v_b_SP_G_2$ ?v1)))
+(let (($x2833 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v1)))
(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
-(let (($x1282 (>= (+ ?x155 ?x273 ?x1263) 0)))
+(let (($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))))))))))
+(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 (($x301 (fun_app$ v_b_Visited_G_2$ ?v0)))
-(let (($x2768 (not $x301)))
+(let (($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))))))
+(or $x291 $x2768 $x1262)))) :qid k!42))
))
(let (($x2871 (not (or (not $x2788) (not $x2862)))))
(let (($x2876 (or $x2765 $x2871)))
@@ -1477,7 +1474,7 @@
(let (($x2915 (or $x1830 $x2910)))
(let (($x2923 (not (or $x1250 (not $x2915)))))
(let (($x2928 (or $x1813 $x2923)))
-(let (($x2742 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x2742 (forall ((?v0 B_Vertex$) )(! (let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
(let ((?x273 (v_b_SP_G_2$ ?v0)))
(let (($x278 (= ?x273 ?x174)))
(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
@@ -1486,107 +1483,113 @@
(let (($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)))))))))))
+(or $x2718 $x278)))))))))) :qid k!42))
))
-(let (($x2736 (forall ((?v0 B_Vertex$) )(let ((?x273 (v_b_SP_G_2$ ?v0)))
+(let (($x2736 (forall ((?v0 B_Vertex$) )(! (let ((?x273 (v_b_SP_G_2$ ?v0)))
(let ((?x1186 (* (- 1) ?x273)))
(let ((?x268 (b_G$ (pair$ v_b_v_G_1$ ?v0))))
(let ((?x257 (fun_app$c v_b_SP_G_1$ v_b_v_G_1$)))
(let (($x1185 (= (+ ?x257 ?x268 ?x1186) 0)))
(let (($x1175 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0) (* (- 1) ?x257) (* (- 1) ?x268)) 0)))
(let (($x1169 (<= (+ b_Infinity$ (* (- 1) ?x268)) 0)))
-(or $x1169 $x1175 $x1185)))))))))
+(or $x1169 $x1175 $x1185)))))))) :qid k!42))
))
(let (($x2939 (or $x1773 $x1778 $x255 $x1213 (not $x1209) $x2935 (not $x2736) (not $x2742) (not $x2928))))
(let (($x2940 (not $x2939)))
-(let (($x2672 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v1)))
+(let (($x2672 (forall ((?v0 B_Vertex$) (?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)))))))
+(or $x1099 $x922 $x1140)))))) :qid k!42))
))
(let (($x2680 (not (or (not $x2672) $x246))))
(let (($x2685 (or $x2650 $x2680)))
-(let (($x2628 (forall ((?v0 B_Vertex$) )(let ((?x230 (fun_app$c v_b_SP_G_3$ ?v0)))
+(let (($x2628 (forall ((?v0 B_Vertex$) )(! (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)))))))))
+(or $x127 $x1099 $x2617)))))))) :qid k!42))
))
(let (($x2694 (not (or (not $x2628) (not $x2685)))))
-(let (($x2591 (forall ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(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)))))))
+(or (>= (+ ?x230 ?x1662) 0) (not $x2148)))))) :qid k!42))
))
(let (($x2599 (not (or $x1659 $x1664 (not $x2591)))))
(let (($x2699 (or $x2599 $x2694)))
-(let (($x2576 (forall ((?v0 B_Vertex$) )(let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x2576 (forall ((?v0 B_Vertex$) )(! (let (($x1002 (<= (+ b_Infinity$ (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
(let (($x178 (fun_app$ v_b_Visited_G_1$ ?v0)))
-(or $x178 $x1002))))
+(or $x178 $x1002))) :qid k!42))
))
(let (($x2712 (not (or (not $x2576) $x2706 $x2707 $x2708 $x2709 (not $x2699)))))
(let (($x2945 (or $x2712 $x2940)))
-(let (($x2562 (forall ((?v0 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v0)))
+(let (($x2562 (forall ((?v0 B_Vertex$) )(! (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)))))))))
+(or $x127 $x1002 $x2551)))))))) :qid k!42))
))
-(let (($x2534 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
+(let (($x2534 (forall ((?v0 B_Vertex$) (?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 (($x990 (>= (+ ?x155 ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(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))))))))
+(or $x179 $x922 $x990))))))))) :qid k!42))
))
-(let (($x2512 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x174 (fun_app$c v_b_SP_G_1$ ?v1)))
-(let (($x1015 (>= (+ ?x174 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0))) 0)))
+(let (($x2512 (forall ((?v0 B_Vertex$) (?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 $x178 (not (fun_app$ v_b_Visited_G_1$ ?v0)) $x1015)))))
+(or $x178 $x2492 $x1015)))))))) :qid k!42))
))
-(let (($x2489 (forall ((?v0 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v0)))
+(let (($x2489 (forall ((?v0 B_Vertex$) )(! (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)))))))))
+(or $x127 $x947 $x2478)))))))) :qid k!42))
))
(let (($x2958 (or (not $x2489) $x2952 (not $x1051) (not $x2512) (not $x2534) (not $x2562) (not $x2945))))
(let (($x2959 (not $x2958)))
-(let (($x2451 (forall ((?v1 B_Vertex$) )(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
+(let (($x2451 (forall ((?v1 B_Vertex$) )(! (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 (($x137 (not $x136)))
-(or (>= (+ ?x128 ?x1541) 0) $x137 (not (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))))
+(or (>= (+ ?x128 ?x1541) 0) $x137 (not (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))) :qid k!42))
))
(let (($x2459 (not (or $x1538 $x1543 (not $x2451)))))
(let (($x2964 (or $x2459 $x2959)))
-(let (($x2436 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
+(let (($x2436 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x155 (b_G$ (pair$ ?v1 ?v0))))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(let (($x933 (>= (+ ?x128 (* (- 1) (v_b_SP_G_0$ ?v0)) ?x155) 0)))
(let (($x922 (<= (+ b_Infinity$ (* (- 1) ?x155)) 0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
(let (($x137 (not $x136)))
-(or $x137 $x922 $x933))))))))
+(or $x137 $x922 $x933))))))) :qid k!42))
))
(let (($x2973 (not (or (not $x2436) (not $x2964)))))
(let (($x2978 (or $x2414 $x2973)))
-(let (($x2391 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
+(let (($x2391 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let (($x907 (>= (+ (v_b_SP_G_0$ ?v1) (* (- 1) (v_b_SP_G_0$ ?v0))) 0)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))))
+(or $x136 (not (v_b_Visited_G_0$ ?v0)) $x907))) :qid k!42))
))
(let (($x2987 (not (or (not $x2391) (not $x2978)))))
(let (($x2992 (or $x2368 $x2987)))
@@ -1599,9 +1602,11 @@
(let ((@x3724 (quant-intro (refl (= (or $x300 $x922 $x1282) (or $x300 $x922 $x1282))) (= $x2833 $x3720))))
(let ((@x3739 (monotonicity (monotonicity @x3724 (= (not $x2833) $x3725)) @x3736 (= (or (not $x2833) $x1909 $x1914 (not $x2848)) $x3737))))
(let ((@x3748 (monotonicity (monotonicity (monotonicity @x3739 (= $x2857 $x3740)) (= $x2862 $x3743)) (= (not $x2862) $x3746))))
-(let ((@x3716 (quant-intro (refl (= (or $x291 (not $x301) $x1262) (or $x291 (not $x301) $x1262))) (= $x2788 $x3712))))
-(let ((@x3751 (monotonicity (monotonicity @x3716 (= (not $x2788) $x3717)) @x3748 (= (or (not $x2788) (not $x2862)) $x3749))))
-(let ((@x3760 (monotonicity (monotonicity (monotonicity @x3751 (= $x2871 $x3752)) (= $x2876 $x3755)) (= (not $x2876) $x3758))))
+(let (($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))))
@@ -1669,13 +1674,13 @@
(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 (($x2251 (forall ((?v1 B_Vertex$) )(! (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))))))))
+(not $x2245))))))) :qid k!42))
))
(let (($x1915 (not $x1914)))
(let (($x1910 (not $x1909)))
@@ -1706,7 +1711,7 @@
(let (($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 (($x2203 (forall ((?v0 B_Vertex$) )(! (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)))
@@ -1717,30 +1722,30 @@
(let (($x132 (not $x127)))
(let (($x1103 (and $x132 $x1100)))
(let (($x1106 (not $x1103)))
-(or $x1106 $x2197)))))))))))))
+(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 (($x2157 (forall ((?v1 B_Vertex$) )(! (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)))))))
+(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 (($x1641 (forall ((?v0 B_Vertex$) )(! (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)))))))
+(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 (($x2140 (forall ((?v0 B_Vertex$) )(! (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 (($x2129 (= ?x2128 0)))
(let ((?x1613 (?v1!7 ?v0)))
@@ -1752,9 +1757,9 @@
(let (($x132 (not $x127)))
(let (($x1006 (and $x132 $x1003)))
(let (($x1009 (not $x1006)))
-(or $x1009 $x2134))))))))))))))
+(or $x1009 $x2134))))))))))))) :qid k!42))
))
-(let (($x2102 (forall ((?v0 B_Vertex$) )(let ((?x128 (v_b_SP_G_0$ ?v0)))
+(let (($x2102 (forall ((?v0 B_Vertex$) )(! (let ((?x128 (v_b_SP_G_0$ ?v0)))
(let ((?x2090 (+ ?x128 (* (- 1) (v_b_SP_G_0$ (?v1!6 ?v0))) (* (- 1) (b_G$ (pair$ (?v1!6 ?v0) ?v0))))))
(let (($x2091 (= ?x2090 0)))
(let ((?x1578 (?v1!6 ?v0)))
@@ -1764,15 +1769,15 @@
(let (($x132 (not $x127)))
(let (($x951 (and $x132 (not (<= (+ b_Infinity$ (* (- 1) ?x128)) 0)))))
(let (($x954 (not $x951)))
-(or $x954 $x2096))))))))))))
+(or $x954 $x2096))))))))))) :qid k!42))
))
(let (($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 (($x1567 (forall ((?v1 B_Vertex$) )(! (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)))))))
+(not $x1554)))))) :qid k!42))
))
(let (($x2062 (and $x1539 $x1544 $x1567)))
(let (($x2320 (or $x2062 $x2315)))
@@ -1805,16 +1810,14 @@
(let ((@x2802 (trans @x2798 (rewrite (= (not (not (or $x2791 $x1888))) (or $x2791 $x1888))) (= $x1891 (or $x2791 $x1888)))))
(let ((@x2810 (trans (monotonicity @x2802 (= $x1897 (or (or $x2791 $x1888) $x1896))) (rewrite (= (or (or $x2791 $x1888) $x1896) $x2806)) (= $x1897 $x2806))))
(let ((@x2864 (monotonicity (monotonicity @x2810 (= $x1898 $x2811)) @x2861 (= $x2265 $x2862))))
-(let ((@x2785 (rewrite (= (or (or $x291 (not $x301)) $x1262) (or $x291 (not $x301) $x1262)))))
-(let ((@x2777 (rewrite (= (not (not (or $x291 (not $x301)))) (or $x291 (not $x301))))))
-(let ((@x2775 (monotonicity (rewrite (= $x302 (not (or $x291 (not $x301))))) (= $x664 (not (not (or $x291 (not $x301))))))))
-(let ((@x2782 (monotonicity (trans @x2775 @x2777 (= $x664 (or $x291 (not $x301)))) (= $x1267 (or (or $x291 (not $x301)) $x1262)))))
-(let ((@x2790 (quant-intro (trans @x2782 @x2785 (= $x1267 (or $x291 (not $x301) $x1262))) (= $x1270 $x2788))))
-(let ((@x2875 (trans (monotonicity @x2790 @x2864 (= $x2268 (and $x2788 $x2862))) (rewrite (= (and $x2788 $x2862) $x2871)) (= $x2268 $x2871))))
+(let ((@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)) @x2875 (= $x2271 $x2876))))
+(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))))
@@ -1901,12 +1904,12 @@
(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 (($x1938 (forall ((?v1 B_Vertex$) )(! (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)))))))
+(not $x1925)))))) :qid k!42))
))
(let (($x1932 (not (not (and $x1910 $x1915)))))
(let (($x1942 (and $x1932 $x1938)))
@@ -1927,7 +1930,7 @@
(let (($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 (($x1713 (forall ((?v0 B_Vertex$) )(! (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))))
@@ -1939,14 +1942,14 @@
(let (($x132 (not $x127)))
(let (($x1103 (and $x132 $x1100)))
(let (($x1106 (not $x1103)))
-(or $x1106 $x1707))))))))))))))
+(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 (($x1687 (forall ((?v1 B_Vertex$) )(! (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))))))
+(not $x1675))))) :qid k!42))
))
(let (($x1681 (not (not (and $x1660 $x1665)))))
(let (($x1691 (and $x1681 $x1687)))
@@ -1954,7 +1957,7 @@
(let (($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 (($x1629 (forall ((?v0 B_Vertex$) )(! (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)))
@@ -1968,9 +1971,9 @@
(let (($x132 (not $x127)))
(let (($x1006 (and $x132 $x1003)))
(let (($x1009 (not $x1006)))
-(or $x1009 $x1623))))))))))))))))
+(or $x1009 $x1623))))))))))))))) :qid k!42))
))
-(let (($x1594 (forall ((?v0 B_Vertex$) )(let ((?x1585 (b_G$ (pair$ (?v1!6 ?v0) ?v0))))
+(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)))
@@ -1982,7 +1985,7 @@
(let (($x132 (not $x127)))
(let (($x951 (and $x132 (not (<= (+ b_Infinity$ ?x945) 0)))))
(let (($x954 (not $x951)))
-(or $x954 $x1588))))))))))))))
+(or $x954 $x1588))))))))))))) :qid k!42))
))
(let (($x1632 (and $x1594 $x173 $x1051 $x1045 $x997 $x1629)))
(let (($x2003 (and $x1632 $x1999)))
@@ -2069,11 +2072,11 @@
(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 (($x1926 (exists ((?v1 B_Vertex$) )(! (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)))))))
+(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))))
@@ -2094,10 +2097,10 @@
(let ((@x1759 (nnf-neg (sk (~ $x1149 $x1739)) (nnf-neg @x1748 (refl (~ $x1749 $x1749)) (~ (not $x1152) $x1752)) (~ (not $x1155) $x1756))))
(let ((@x1715 (nnf-pos (monotonicity (refl (~ $x1106 $x1106)) (sk (~ $x1122 $x1707)) (~ $x1125 $x1710)) (~ $x1128 $x1713))))
(let ((@x1763 (nnf-neg (nnf-neg @x1715 (~ (not $x1131) $x1713)) @x1759 (~ (not $x1158) $x1760))))
-(let (($x1676 (exists ((?v1 B_Vertex$) )(let ((?x1661 (fun_app$c v_b_SP_G_3$ ?v0!8)))
+(let (($x1676 (exists ((?v1 B_Vertex$) )(! (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))))))
+(and (not (>= (+ ?x230 ?x1662) 0)) (= (+ (b_G$ (pair$ ?v1 ?v0!8)) ?x230 ?x1662) 0))))) :qid k!42))
))
(let ((@x1693 (nnf-neg (refl (~ $x1681 $x1681)) (nnf-neg (refl (~ $x1684 $x1684)) (~ (not $x1676) $x1687)) (~ (not (or (not (and $x1660 $x1665)) $x1676)) $x1691))))
(let ((@x1695 (trans (sk (~ $x1131 (not (or (not (and $x1660 $x1665)) $x1676)))) @x1693 (~ $x1131 $x1691))))
@@ -2107,11 +2110,11 @@
(let ((@x1596 (nnf-pos (monotonicity (refl (~ $x954 $x954)) (sk (~ $x974 $x1588)) (~ $x977 $x1591)) (~ $x980 $x1594))))
(let ((@x1634 (monotonicity @x1596 (refl (~ $x173 $x173)) (nnf-pos (refl (~ (>= ?x174 0) (>= ?x174 0))) (~ $x1051 $x1051)) (nnf-pos (refl (~ $x1042 $x1042)) (~ $x1045 $x1045)) (nnf-pos (refl (~ $x994 $x994)) (~ $x997 $x997)) @x1631 (~ $x1069 $x1632))))
(let ((@x2006 (nnf-neg (nnf-neg @x1634 (~ (not $x1074) $x1632)) (nnf-neg @x1771 @x1998 (~ (not $x1371) $x1999)) (~ (not $x1374) $x2003))))
-(let (($x1555 (exists ((?v1 B_Vertex$) )(let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
+(let (($x1555 (exists ((?v1 B_Vertex$) )(! (let ((?x1540 (v_b_SP_G_0$ ?v0!5)))
(let ((?x1541 (* (- 1) ?x1540)))
(let ((?x128 (v_b_SP_G_0$ ?v1)))
(let (($x136 (v_b_Visited_G_0$ ?v1)))
-(and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))))
+(and (not (>= (+ ?x128 ?x1541) 0)) $x136 (= (+ ?x128 ?x1541 (b_G$ (pair$ ?v1 ?v0!5))) 0)))))) :qid k!42))
))
(let ((@x1573 (nnf-neg (refl (~ $x1561 $x1561)) (nnf-neg (refl (~ $x1564 $x1564)) (~ (not $x1555) $x1567)) (~ (not (or (not (and $x1539 $x1544)) $x1555)) $x1571))))
(let ((@x1575 (trans (sk (~ (not $x980) (not (or (not (and $x1539 $x1544)) $x1555)))) @x1573 (~ (not $x980) $x1571))))
@@ -2292,21 +2295,21 @@
(let (($x5538 (not $x6156)))
(let ((@x7337 (symm (commutativity (= $x6156 (= ?v0!15 v_b_v_G_1$))) (= (= ?v0!15 v_b_v_G_1$) $x6156))))
(let (($x6631 (= ?v0!15 v_b_v_G_1$)))
-(let (($x7483 (not $x6631)))
+(let (($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) )))
+(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)))))
+(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)))))
+(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)) $x77)))
@@ -2315,8 +2318,8 @@
(let (($x6435 (or $x4114 $x7702)))
(let ((@x5925 (monotonicity (rewrite (= (ite $x6631 true $x6269) $x7698)) (= (= $x6630 (ite $x6631 true $x6269)) $x7702))))
(let ((@x6213 (monotonicity @x5925 (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
-(let ((@x7487 (trans @x6213 (rewrite (= $x6435 $x6435)) (= (or $x4114 (= $x6630 (ite $x6631 true $x6269))) $x6435))))
-(let ((@x7488 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!15) (or $x4114 (= $x6630 (ite $x6631 true $x6269)))) @x7487 $x6435)))
+(let ((@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 $x6630)))))
@@ -2403,24 +2406,24 @@
(let (($x5751 (<= ?x6491 0)))
(let ((@x6302 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x5826 $x5751)) (hypothesis (not $x5826)) $x5751)))
(let (($x5738 (or $x5742 (not $x5751))))
-(let (($x3480 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(let (($x84 (= ?v0 ?v1)))
-(or $x84 (not (<= (b_G$ (pair$ ?v0 ?v1)) 0)))) :pattern ( (pair$ ?v0 ?v1) )))
+(let (($x3480 (forall ((?v0 B_Vertex$) (?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)))))
+(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 (($x105 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(! (let ((?x29 (pair$ ?v0 ?v1)))
(let ((?x85 (b_G$ ?x29)))
(let (($x102 (< 0 ?x85)))
-(=> (not (= ?v0 ?v1)) $x102)))))
+(=> (not (= ?v0 ?v1)) $x102)))) :qid k!41))
))
-(let (($x110 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(let ((?x29 (pair$ ?v0 ?v1)))
+(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))))))
+(or $x84 $x102))))) :qid k!41))
))
(let ((?x29 (pair$ ?1 ?0)))
(let ((?x85 (b_G$ ?x29)))
@@ -2432,14 +2435,14 @@
(let ((@x5780 (mp ((_ quant-inst v_b_v_G_1$ ?v0!14) (or (not $x3480) $x5738)) (rewrite (= (or (not $x3480) $x5738) (or (not $x3480) $x5742 (not $x5751)))) (or (not $x3480) $x5742 (not $x5751)))))
(let (($x5739 (= ?x6491 0)))
(let (($x5781 (or (not $x5742) $x5739)))
-(let (($x3474 (forall ((?v0 B_Vertex$) (?v1 B_Vertex$) )(!(or (not (= ?v0 ?v1)) (= (b_G$ (pair$ ?v0 ?v1)) 0)) :pattern ( (pair$ ?v0 ?v1) )))
+(let (($x3474 (forall ((?v0 B_Vertex$) (?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)))
+(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))))
+(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)))
@@ -2487,12 +2490,12 @@
(let ((@x6268 (monotonicity (unit-resolution (def-axiom (or (not $x4963) $x6050 $x5678)) @x5057 @x5037 $x6050) (= ?x1826 ?x3104))))
(let ((@x6107 (trans @x6268 (unit-resolution @x4259 @x5944 (unit-resolution @x4316 @x6019 $x4242) $x3052) (= ?x1826 ?x257))))
(let ((@x6162 (unit-resolution @x5065 (trans @x6107 (symm @x6293 (= ?x257 ?x1827)) $x1828) false)))
-(let ((@x7615 (unit-resolution (def-axiom (or $x3794 $x1830 $x3788)) (lemma @x6162 $x1829) (unit-resolution (def-axiom (or $x3797 $x3791)) @x6891 $x3791) $x3788)))
-(let ((@x7616 (unit-resolution (def-axiom (or $x3785 $x3695)) @x7615 $x3695)))
-(let ((@x7443 (mp ((_ quant-inst ?v0!15) (or $x3700 (or $x4479 $x4481))) (rewrite (= (or $x3700 (or $x4479 $x4481)) (or $x3700 $x4479 $x4481))) (or $x3700 $x4479 $x4481))))
-(let ((@x7323 (mp (unit-resolution @x7443 @x7616 (unit-resolution @x6242 @x6183 (not $x4481)) $x4479) @x7322 (not $x6630))))
-(let ((@x7334 (unit-resolution (def-axiom (or (not $x7702) $x6630 (not $x7698))) @x7323 (unit-resolution @x7488 @x3473 $x7702) (not $x7698))))
-(let ((@x7344 (mp (unit-resolution (def-axiom (or $x7698 $x7483)) @x7334 $x7483) (monotonicity @x7337 (= $x7483 $x5538)) $x5538)))
+(let ((@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) $x6603)))
@@ -2568,21 +2571,21 @@
(let ((@x5952 (mp ((_ quant-inst v_b_v_G_1$ b_Source$) (or (not $x3480) (or $x3887 (not $x5310)))) (rewrite $x5886) (or (not $x3480) $x3887 (not $x5310)))))
(let ((@x5597 (unit-resolution @x5952 @x3485 @x5596 (unit-resolution (lemma @x5283 (or $x5313 $x3683 $x297)) @x5202 @x4739 $x5313) false)))
(let ((@x6788 (unit-resolution (lemma @x5597 (or $x297 (not $x4153) $x3675 $x3683)) @x6900 @x6588 @x5944 $x297)))
-(let ((@x7810 (unit-resolution (def-axiom (or $x3782 $x773 $x3776)) (unit-resolution (def-axiom (or $x3785 $x3779)) @x7615 $x3779) @x6788 $x3776)))
+(let ((@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 ((@x9293 (unit-resolution @x3347 (unit-resolution (def-axiom (or $x3773 $x3767)) @x7810 $x3767) $x3767)))
-(let ((@x9294 (unit-resolution @x9293 (lemma ((_ th-lemma arith farkas 1 1 -1 1) @x5703 @x7345 @x6959 @x5049 false) $x1847) $x3764)))
+(let ((@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) )))
+(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))
+(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))
+(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)))
@@ -2591,7 +2594,7 @@
(let ((@x6106 (monotonicity (rewrite (= (= $x3136 true) $x3136)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
(let ((@x5837 (trans @x6106 (rewrite (= $x6140 $x6140)) (= (or (not $x3461) (= $x3136 true)) $x6140))))
(let ((@x5928 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true) (or (not $x3461) (= $x3136 true))) @x5837 $x6140)))
-(let ((@x7482 (mp (unit-resolution @x5928 @x3466 $x3136) (monotonicity @x5875 (= $x3136 $x4126)) $x4126)))
+(let ((@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)))
@@ -2607,31 +2610,31 @@
(let ((@x5361 (trans @x5357 (rewrite (= (or $x3725 (or $x4127 $x4438 $x4569)) $x5352)) (= $x5353 $x5352))))
(let ((@x5424 (unit-resolution (mp ((_ quant-inst ?v0!20 v_b_v_G_1$) $x5353) @x5361 $x5352) (hypothesis $x3720) (hypothesis $x4126) (hypothesis (not $x4569)) $x4438)))
(let ((@x5428 (lemma ((_ th-lemma arith farkas 1 1 1 1) @x5424 (hypothesis $x4161) @x5420 (hypothesis $x1915) false) (or $x4569 (not $x4161) $x1914 $x3725 $x4127))))
-(let ((@x7692 (unit-resolution (unit-resolution @x5428 @x7482 (or $x4569 (not $x4161) $x1914 $x3725)) (unit-resolution @x4337 (unit-resolution @x3367 @x9294 $x3703) $x4161) (or $x4569 $x1914 $x3725))))
-(let ((@x7751 (unit-resolution @x7692 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) (unit-resolution @x3222 @x8092 $x3720) $x4569)))
+(let ((@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 ((@x9325 (symm (commutativity (= $x5386 (= ?v0!20 v_b_v_G_1$))) (= (= ?v0!20 v_b_v_G_1$) $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$)))
-(let (($x9145 (not $x5240)))
+(let (($x9098 (not $x5240)))
(let (($x4609 (fun_app$ v_b_Visited_G_1$ ?v0!20)))
-(let (($x9130 (or $x5240 $x4609)))
+(let (($x9110 (or $x5240 $x4609)))
(let (($x5237 (fun_app$ ?x265 ?v0!20)))
-(let (($x9133 (= $x5237 $x9130)))
-(let (($x9136 (or $x4114 $x9133)))
-(let ((@x9135 (monotonicity (rewrite (= (ite $x5240 true $x4609) $x9130)) (= (= $x5237 (ite $x5240 true $x4609)) $x9133))))
-(let ((@x9140 (monotonicity @x9135 (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
-(let ((@x9143 (trans @x9140 (rewrite (= $x9136 $x9136)) (= (or $x4114 (= $x5237 (ite $x5240 true $x4609))) $x9136))))
-(let ((@x9144 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!20) (or $x4114 (= $x5237 (ite $x5240 true $x4609)))) @x9143 $x9136)))
-(let ((@x9316 (symm (monotonicity @x5875 (= $x5237 (fun_app$ v_b_Visited_G_2$ ?v0!20))) (= (fun_app$ v_b_Visited_G_2$ ?v0!20) $x5237))))
-(let ((@x9318 (monotonicity @x9316 (= (not (fun_app$ v_b_Visited_G_2$ ?v0!20)) (not $x5237)))))
+(let (($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 ((@x8012 (mp ((_ quant-inst ?v0!20) (or $x3700 $x4403)) (rewrite (= (or $x3700 $x4403) (or $x3700 $x4279 $x4400))) (or $x3700 $x4279 $x4400))))
-(let ((@x9292 (unit-resolution (unit-resolution @x8012 @x7616 $x4403) (hypothesis (not $x4400)) $x4279)))
-(let ((@x9320 (unit-resolution (def-axiom (or (not $x9133) $x5237 (not $x9130))) (mp @x9292 @x9318 (not $x5237)) (unit-resolution @x9144 @x3473 $x9133) (not $x9130))))
-(let ((@x9328 (mp (unit-resolution (def-axiom (or $x9130 $x9145)) @x9320 $x9145) (monotonicity @x9325 (= $x9145 $x5390)) $x5390)))
+(let ((@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)))
@@ -2671,9 +2674,9 @@
(let ((@x6830 (monotonicity @x6730 (= (not (or $x4438 (<= (+ ?x4393 ?x1173 ?x4436) 0))) $x6684))))
(let ((@x6829 (monotonicity (monotonicity @x6830 (= $x4443 $x6831)) (= $x6790 (or $x3683 $x6831)))))
(let ((@x6824 (mp ((_ quant-inst ?v0!20) $x6790) (trans @x6829 (rewrite (= (or $x3683 $x6831) $x6789)) (= $x6790 $x6789)) $x6789)))
-(let ((@x9281 (unit-resolution (unit-resolution @x6824 @x5944 $x6831) (hypothesis (not $x4400)) $x6684)))
-(let ((@x7436 (unit-resolution (def-axiom (or $x6723 (not $x4438))) (hypothesis $x6684) (not $x4438))))
-(let ((@x7494 (unit-resolution (def-axiom (or $x6723 (not $x6827))) (hypothesis $x6684) (not $x6827))))
+(let ((@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)))
@@ -2682,11 +2685,11 @@
(let ((@x5324 (monotonicity (rewrite (= (+ ?x257 ?x4435 ?x1912) ?x4487)) (= (= (+ ?x257 ?x4435 ?x1912) 0) $x5673))))
(let ((@x6996 (monotonicity (monotonicity @x6725 @x5324 (= $x4486 $x6621)) (= $x6624 (or $x3675 $x6621)))))
(let ((@x7057 (mp ((_ quant-inst ?v0!20) $x6624) (trans @x6996 (rewrite (= (or $x3675 $x6621) $x6987)) (= $x6624 $x6987)) $x6987)))
-(let ((@x7649 (unit-resolution (unit-resolution @x7057 @x6588 $x6621) @x7494 @x7436 (hypothesis (not $x5673)) false)))
+(let ((@x7649 (unit-resolution (unit-resolution @x7057 @x6588 $x6621) @x7480 @x7434 (hypothesis (not $x5673)) false)))
(let ((@x7699 (lemma @x7649 (or $x6723 $x5673))))
-(let ((@x9285 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5673) $x4507)) (unit-resolution @x7699 @x9281 $x5673) $x4507)))
-(let ((@x9287 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x4507) $x4570 (not $x3886))) @x6925 (or (not $x4507) $x4570))))
-(let ((@x7251 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7135 (not $x4569) (not $x4570))) (hypothesis $x4569) (or $x7135 (not $x4570)))))
+(let ((@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)))
@@ -2698,21 +2701,64 @@
(let ((@x7144 (trans @x7063 (rewrite (= (>= (+ ?x1912 ?x3104) 0) $x7049)) (= $x4516 $x7049))))
(let ((@x7156 (monotonicity @x7144 (monotonicity @x7149 (= (not (= (+ ?x3104 ?x1912 ?x4435) 0)) $x7151)) (= $x4528 (or $x7049 $x4127 $x7151)))))
(let ((@x7313 (trans (monotonicity @x7156 (= $x7317 (or $x3734 (or $x7049 $x4127 $x7151)))) (rewrite (= (or $x3734 (or $x7049 $x4127 $x7151)) $x7157)) (= $x7317 $x7157))))
-(let ((@x7502 (unit-resolution (mp ((_ quant-inst v_b_v_G_1$) $x7317) @x7313 $x7157) (hypothesis $x3729) @x7482 (or $x7049 $x7151))))
-(let ((@x9290 (unit-resolution @x7502 (unit-resolution @x7251 (unit-resolution @x9287 @x9285 $x4570) $x7135) $x7049)))
+(let ((@x7506 (unit-resolution (mp ((_ quant-inst v_b_v_G_1$) $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 (($x6813 (= ?v1!16 v_b_v_G_1$)))
-(let (($x7202 (= v_b_v_G_1$ ?v1!16)))
(let ((?x6481 (pair$ v_b_v_G_1$ ?v1!16)))
(let ((?x6374 (b_G$ ?x6481)))
(let (($x7203 (<= ?x6374 0)))
+(let (($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 $x6813)))
+(let (($x6814 (fun_app$ v_b_Visited_G_1$ ?v1!16)))
+(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 $x6812)))))
+(let (($x1861 (not $x1860)))
+(let ((@x8145 (hypothesis $x2765)))
+(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)))
+(let ((@x8586 (unit-resolution (lemma @x8179 (or $x7265 $x6813)) (unit-resolution (def-axiom (or $x8313 $x6712)) @x8616 $x6712) $x7265)))
+(let ((@x7214 (rewrite (= (or (not $x3480) (or $x7202 $x7206)) (or (not $x3480) $x7202 $x7206)))))
+(let ((@x7215 (mp ((_ quant-inst v_b_v_G_1$ ?v1!16) (or (not $x3480) (or $x7202 $x7206))) @x7214 (or (not $x3480) $x7202 $x7206))))
+(let ((@x8872 (lemma (unit-resolution @x7215 @x3485 (hypothesis $x7203) (hypothesis $x7265) false) (or $x7206 $x7202))))
+(let ((?x1865 (v_b_SP_G_2$ ?v1!16)))
+(let ((?x6126 (* (- 1) ?x1865)))
+(let ((?x6400 (+ ?x257 ?x6126 ?x6374)))
+(let (($x6319 (<= ?x6400 0)))
+(let (($x7408 (= ?x6400 0)))
+(let (($x6238 (<= (+ b_Infinity$ (* (- 1) ?x6374)) 0)))
+(let (($x7360 (not $x6238)))
+(let (($x7540 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16)) ?x6374) 0)))
+(let (($x4492 (or $x6238 $x7540)))
+(let (($x4445 (not $x4492)))
+(let ((?x6234 (fun_app$c v_b_SP_G_1$ ?v1!16)))
+(let (($x6378 (= ?x1865 ?x6234)))
+(let (($x8060 (not $x6378)))
+(let (($x7372 (>= (+ ?x1865 (* (- 1) ?x6234)) 0)))
+(let (($x8588 (not $x7372)))
+(let (($x8639 (<= (+ ?x257 (* (- 1) ?x6234)) 0)))
+(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))))
+(let ((@x8438 (monotonicity (monotonicity @x8401 (= (or $x6814 (>= (+ ?x6234 ?x1173) 0)) $x7946)) (= (or $x3665 (or $x6814 (>= (+ ?x6234 ?x1173) 0))) (or $x3665 $x7946)))))
+(let ((@x8439 (trans @x8438 (rewrite (= (or $x3665 $x7946) $x8076)) (= (or $x3665 (or $x6814 (>= (+ ?x6234 ?x1173) 0))) $x8076))))
+(let ((@x8127 (mp ((_ quant-inst ?v1!16) (or $x3665 (or $x6814 (>= (+ ?x6234 ?x1173) 0)))) @x8439 $x8076)))
+(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 (($x6886 (<= ?x6890 0)))
-(let ((?x4496 (fun_app$c v_b_SP_G_1$ ?v0!17)))
-(let ((?x6307 (* (- 1) ?x4496)))
-(let ((?x5972 (+ ?x257 ?x6307)))
-(let (($x7220 (>= ?x5972 0)))
(let (($x3187 (fun_app$ v_b_Visited_G_1$ ?v0!17)))
(let (($x4478 (= ?v0!17 v_b_v_G_1$)))
(let (($x4499 (or $x4478 $x3187)))
@@ -2723,149 +2769,71 @@
(let ((@x5371 (monotonicity @x4495 (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
(let ((@x5958 (trans @x5371 (rewrite (= $x4712 $x4712)) (= (or $x4114 (= $x4471 (ite $x4478 true $x3187))) $x4712))))
(let ((@x6125 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v0!17) (or $x4114 (= $x4471 (ite $x4478 true $x3187)))) @x5958 $x4712)))
-(let ((@x8166 (mp (unit-resolution (def-axiom (or $x2760 $x1862)) (hypothesis $x2765) $x1862) (symm (monotonicity @x5875 (= $x4471 $x1862)) (= $x1862 $x4471)) $x4471)))
-(let ((@x8237 (unit-resolution (def-axiom (or (not $x4593) (not $x4471) $x4499)) @x8166 (unit-resolution @x6125 @x3473 $x4593) $x4499)))
+(let ((@x8749 (mp (unit-resolution (def-axiom (or $x2760 $x1862)) @x8145 $x1862) (symm (monotonicity @x5875 (= $x4471 $x1862)) (= $x1862 $x4471)) $x4471)))
+(let ((@x8750 (unit-resolution (def-axiom (or (not $x4593) (not $x4471) $x4499)) @x8749 (unit-resolution @x6125 @x3473 $x4593) $x4499)))
+(let ((?x4496 (fun_app$c v_b_SP_G_1$ ?v0!17)))
+(let ((?x6307 (* (- 1) ?x4496)))
+(let ((?x5972 (+ ?x257 ?x6307)))
+(let (($x7220 (>= ?x5972 0)))
+(let (($x7299 (not $x7220)))
+(let ((?x5902 (+ ?x1866 ?x6307)))
+(let (($x6327 (<= ?x5902 0)))
+(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))))
+(let ((@x5843 (trans (monotonicity @x5905 (= (or $x3691 $x6436) $x6088)) (rewrite (= $x6088 $x6088)) (= (or $x3691 $x6436) $x6088))))
+(let ((@x7292 (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3691 $x6436)) @x5843 $x6088) @x6892 $x6327)))
+(let (($x6936 (not $x6886)))
+(let ((@x6513 (hypothesis $x6936)))
+(let ((@x8452 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 1 -1) (or $x7299 (not $x6327) $x6886 $x4315 (not $x4239))) @x6513 @x7292 @x6019 @x7839 $x7299)))
(let (($x6485 (not $x4478)))
-(let (($x8046 (<= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16))) 0)))
-(let (($x6814 (fun_app$ v_b_Visited_G_1$ ?v1!16)))
-(let (($x8334 (or $x6813 $x6814)))
-(let (($x6812 (fun_app$ ?x265 ?v1!16)))
-(let (($x7683 (= $x6812 $x8334)))
-(let (($x6622 (or $x4114 $x7683)))
-(let ((@x6719 (monotonicity (rewrite (= (ite $x6813 true $x6814) $x8334)) (= (= $x6812 (ite $x6813 true $x6814)) $x7683))))
-(let ((@x8777 (monotonicity @x6719 (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
-(let ((@x8650 (trans @x8777 (rewrite (= $x6622 $x6622)) (= (or $x4114 (= $x6812 (ite $x6813 true $x6814))) $x6622))))
-(let ((@x8651 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!16) (or $x4114 (= $x6812 (ite $x6813 true $x6814)))) @x8650 $x6622)))
-(let ((@x8121 (monotonicity (symm (monotonicity @x5875 (= $x6812 $x1860)) (= $x1860 $x6812)) (= (not $x1860) (not $x6812)))))
-(let (($x1861 (not $x1860)))
-(let ((@x7803 (hypothesis $x2765)))
-(let ((@x8141 (mp (unit-resolution (def-axiom (or $x2760 $x1861)) @x7803 $x1861) @x8121 (not $x6812))))
-(let ((@x8147 (unit-resolution (def-axiom (or (not $x7683) $x6812 (not $x8334))) @x8141 (unit-resolution @x8651 @x3473 $x7683) (not $x8334))))
-(let (($x8156 (or $x6814 $x8046)))
-(let (($x8160 (or $x3665 $x6814 $x8046)))
-(let (($x6666 (>= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) 0)))
-(let (($x6673 (or $x6814 $x6666)))
-(let (($x8163 (or $x3665 $x6673)))
-(let ((@x7990 (rewrite (= (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0) $x8046))))
-(let (($x8213 (= (+ (fun_app$c v_b_SP_G_1$ ?v1!16) ?x1173) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)))))
-(let ((@x8047 (monotonicity (rewrite $x8213) (= $x6666 (>= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v1!16)) 0)))))
-(let ((@x8089 (monotonicity (monotonicity (trans @x8047 @x7990 (= $x6666 $x8046)) (= $x6673 $x8156)) (= $x8163 (or $x3665 $x8156)))))
-(let ((@x8093 (mp ((_ quant-inst ?v1!16) $x8163) (trans @x8089 (rewrite (= (or $x3665 $x8156) $x8160)) (= $x8163 $x8160)) $x8160)))
-(let ((@x8217 (unit-resolution @x8093 (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) $x8156)))
-(let ((@x8239 (unit-resolution @x8217 (unit-resolution (def-axiom (or $x8334 (not $x6814))) @x8147 (not $x6814)) $x8046)))
-(let (($x3386 (not $x1869)))
-(let ((@x3390 (def-axiom (or $x2760 $x3386))))
-(let ((@x8240 (unit-resolution @x3390 @x7803 $x3386)))
-(let ((?x6009 (pair$ v_b_v_G_1$ ?v0!17)))
-(let ((?x6010 (b_G$ ?x6009)))
-(let ((?x1867 (* (- 1) ?x1866)))
-(let ((?x6187 (+ ?x257 ?x1867 ?x6010)))
-(let ((@x8743 (monotonicity (monotonicity (hypothesis $x4478) (= ?x6009 ?x3130)) (= ?x6010 ?x3096))))
(let (($x6889 (= ?x1866 ?x3104)))
-(let ((@x6922 (hypothesis $x4478)))
-(let ((@x6921 (unit-resolution (hypothesis (not $x6889)) (monotonicity @x6922 $x6889) false)))
+(let (($x6250 (not $x6889)))
+(let ((@x6214 ((_ th-lemma arith triangle-eq) (or $x6250 $x6886))))
+(let ((@x6921 (unit-resolution (hypothesis $x6250) (monotonicity (hypothesis $x4478) $x6889) false)))
(let ((@x6939 (lemma @x6921 (or $x6485 $x6889))))
-(let ((@x6214 ((_ th-lemma arith triangle-eq) (or (not $x6889) $x6886))))
-(let (($x7675 (>= ?x6890 0)))
-(let ((@x8362 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x6889) $x7675)) (unit-resolution @x6939 @x6922 $x6889) $x7675)))
-(let ((@x7970 ((_ th-lemma arith eq-propagate 1 1 1 1 -1 -1) @x8362 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6019 @x6933 @x6930 @x7839 (= ?x6010 ?x6187))))
-(let ((@x8765 (trans (trans (symm @x7970 (= ?x6187 ?x6010)) @x8743 (= ?x6187 ?x3096)) @x4849 (= ?x6187 0))))
-(let (($x6564 (>= ?x6187 0)))
-(let (($x7274 (not $x6564)))
-(let ((@x7271 (hypothesis $x3386)))
-(let ((?x1865 (v_b_SP_G_2$ ?v1!16)))
-(let ((?x6126 (* (- 1) ?x1865)))
-(let ((?x6400 (+ ?x257 ?x6126 ?x6374)))
-(let (($x6319 (<= ?x6400 0)))
-(let (($x8008 (= ?x6400 0)))
-(let (($x6238 (<= (+ b_Infinity$ (* (- 1) ?x6374)) 0)))
-(let (($x8646 (not $x6238)))
-(let (($x7241 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v1!16)) ?x6374) 0)))
-(let (($x7239 (or $x6238 $x7241)))
-(let (($x4416 (not $x7239)))
-(let ((?x6234 (fun_app$c v_b_SP_G_1$ ?v1!16)))
-(let (($x6378 (= ?x1865 ?x6234)))
-(let (($x8565 (not $x6378)))
-(let (($x8664 (>= (+ ?x1865 (* (- 1) ?x6234)) 0)))
-(let (($x8549 (not $x8664)))
-(let ((@x8517 ((_ th-lemma arith assign-bounds -1 -1 -1 -1 1) (or $x8549 (not $x8046) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
-(let ((@x8321 (unit-resolution @x8517 (unit-resolution @x6214 (unit-resolution @x6939 @x6922 $x6889) $x6886) @x6933 @x6930 @x7271 (hypothesis $x8046) $x8549)))
-(let (($x8358 (or $x4416 $x6378)))
-(let (($x8640 (or $x3683 $x4416 $x6378)))
-(let (($x6219 (or (not (or $x6238 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0))) $x6378)))
-(let (($x8252 (or $x3683 $x6219)))
-(let (($x6539 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0)))
-(let ((@x7664 (rewrite (= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) (+ ?x1173 ?x6234 (* (- 1) ?x6374))))))
-(let ((@x7697 (monotonicity @x7664 (= $x6539 (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0)))))
-(let ((@x4371 (trans @x7697 (rewrite (= (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0) $x7241)) (= $x6539 $x7241))))
-(let ((@x8352 (monotonicity (monotonicity @x4371 (= (or $x6238 $x6539) $x7239)) (= (not (or $x6238 $x6539)) $x4416))))
-(let ((@x8173 (monotonicity (monotonicity @x8352 (= $x6219 $x8358)) (= $x8252 (or $x3683 $x8358)))))
-(let ((@x8649 (mp ((_ quant-inst ?v1!16) $x8252) (trans @x8173 (rewrite (= (or $x3683 $x8358) $x8640)) (= $x8252 $x8640)) $x8640)))
-(let ((@x8632 (unit-resolution (unit-resolution @x8649 @x5944 $x8358) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) @x8321 $x8565) $x4416)))
-(let (($x8029 (or $x6238 $x7241 $x8008)))
-(let (($x8118 (or $x3675 $x6238 $x7241 $x8008)))
-(let (($x6399 (or $x6238 $x6539 (= (+ ?x257 ?x6374 ?x6126) 0))))
-(let (($x8113 (or $x3675 $x6399)))
-(let ((@x8010 (monotonicity (rewrite (= (+ ?x257 ?x6374 ?x6126) ?x6400)) (= (= (+ ?x257 ?x6374 ?x6126) 0) $x8008))))
-(let ((@x5909 (monotonicity (monotonicity @x4371 @x8010 (= $x6399 $x8029)) (= $x8113 (or $x3675 $x8029)))))
-(let ((@x7712 (mp ((_ quant-inst ?v1!16) $x8113) (trans @x5909 (rewrite (= (or $x3675 $x8029) $x8118)) (= $x8113 $x8118)) $x8118)))
-(let ((@x8635 (unit-resolution (unit-resolution @x7712 @x6588 $x8029) (unit-resolution (def-axiom (or $x7239 (not $x7241))) @x8632 (not $x7241)) (unit-resolution (def-axiom (or $x7239 $x8646)) @x8632 $x8646) $x8008)))
-(let ((@x7288 (monotonicity (commutativity (= (= v_b_v_G_1$ ?v0!17) $x4478)) (= (not (= v_b_v_G_1$ ?v0!17)) $x6485))))
-(let (($x7176 (= v_b_v_G_1$ ?v0!17)))
-(let (($x7180 (not $x7176)))
-(let (($x7177 (<= ?x6010 0)))
-(let (($x7178 (not $x7177)))
-(let (($x7206 (not $x7203)))
-(let ((@x7267 (monotonicity (symm (commutativity (= $x7202 $x6813)) (= $x6813 $x7202)) (= (not $x6813) (not $x7202)))))
-(let (($x7207 (or $x7202 $x7206)))
-(let ((@x7215 (mp ((_ quant-inst v_b_v_G_1$ ?v1!16) (or (not $x3480) $x7207)) (rewrite (= (or (not $x3480) $x7207) (or (not $x3480) $x7202 $x7206))) (or (not $x3480) $x7202 $x7206))))
-(let ((@x7270 (unit-resolution (unit-resolution @x7215 @x3485 $x7207) (mp (hypothesis (not $x6813)) @x7267 (not $x7202)) $x7206)))
-(let ((@x7278 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x7178 $x7274 $x1869 $x7203 (not $x6319))) (hypothesis $x6319) (hypothesis $x6564) @x7271 @x7270 $x7178)))
-(let ((@x7282 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6010 0)) $x7177)) @x7278 (not (= ?x6010 0)))))
-(let (($x7181 (= ?x6010 0)))
-(let (($x7188 (or $x7180 $x7181)))
-(let ((@x7196 (mp ((_ quant-inst v_b_v_G_1$ ?v0!17) (or $x3151 $x7188)) (rewrite (= (or $x3151 $x7188) (or $x3151 $x7180 $x7181))) (or $x3151 $x7180 $x7181))))
-(let ((@x7289 (mp (unit-resolution (unit-resolution @x7196 @x3479 $x7188) @x7282 $x7180) @x7288 $x6485)))
(let ((@x5812 (def-axiom (or (not $x4499) $x4478 $x3187))))
+(let ((@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) $x7220))))
(let ((@x7231 (mp ((_ quant-inst ?v0!17 v_b_v_G_1$) (or $x3570 (or $x255 (not $x3187) $x7220))) (rewrite $x7229) (or $x3570 $x255 (not $x3187) $x7220))))
-(let ((@x7291 (unit-resolution @x7231 @x5748 @x6225 (unit-resolution @x5812 @x7289 (hypothesis $x4499) $x3187) $x7220)))
-(let (($x6327 (<= (+ ?x1866 ?x6307) 0)))
-(let (($x6088 (or $x3691 $x6327)))
-(let ((@x6464 (monotonicity (rewrite (= (+ ?x4496 ?x1867) (+ ?x1867 ?x4496))) (= (>= (+ ?x4496 ?x1867) 0) (>= (+ ?x1867 ?x4496) 0)))))
-(let ((@x5905 (trans @x6464 (rewrite (= (>= (+ ?x1867 ?x4496) 0) $x6327)) (= (>= (+ ?x4496 ?x1867) 0) $x6327))))
-(let ((@x5843 (trans (monotonicity @x5905 (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088)) (rewrite (= $x6088 $x6088)) (= (or $x3691 (>= (+ ?x4496 ?x1867) 0)) $x6088))))
-(let ((@x7292 (unit-resolution (mp ((_ quant-inst ?v0!17) (or $x3691 (>= (+ ?x4496 ?x1867) 0))) @x5843 $x6088) @x6892 $x6327)))
-(let ((@x7295 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x7292 @x7271 @x7270 (hypothesis $x6319) @x7291 false) (or (not $x6319) $x1869 (not $x4499) $x7274 $x6813))))
-(let ((@x8734 (unit-resolution @x7295 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) @x8635 $x6319) (hypothesis $x4499) (hypothesis (not $x6813)) @x7271 $x7274)))
-(let ((@x8324 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x6187 0)) $x6564)) @x8734 (not (= ?x6187 0)))))
-(let ((@x8494 (lemma (unit-resolution @x8324 @x8765 false) (or $x6485 (not $x4499) $x6813 $x1869 (not $x8046)))))
-(let ((@x8211 (unit-resolution @x8494 @x8237 (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) @x8240 @x8239 $x6485)))
-(let ((@x8909 (unit-resolution @x7231 @x5748 @x6225 (hypothesis $x3187) (hypothesis (not $x7220)) false)))
-(let ((@x8256 (unit-resolution (lemma @x8909 (or (not $x3187) $x7220)) (unit-resolution @x5812 @x8211 @x8237 $x3187) $x7220)))
-(let ((@x8314 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1) (or $x6886 (not $x7220) (not $x6327) $x4315 (not $x4239))) @x7292 @x7839 @x8256 @x6019 $x6886)))
-(let ((@x8385 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x8565 $x8664)) (unit-resolution @x8517 @x8314 @x6933 @x6930 @x8240 @x8239 $x8549) $x8565)))
-(let ((@x8386 (unit-resolution (def-axiom (or $x7239 $x8646)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8646)))
-(let (($x8654 (not $x7241)))
-(let ((@x8390 (unit-resolution (def-axiom (or $x7239 $x8654)) (unit-resolution (unit-resolution @x8649 @x5944 $x8358) @x8385 $x4416) $x8654)))
-(let ((@x8410 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x8008) $x6319)) (unit-resolution (unit-resolution @x7712 @x6588 $x8029) @x8390 @x8386 $x8008) $x6319)))
-(let ((@x8411 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x7203 (not $x6319) $x1869 (not $x6886) (not $x4177) (not $x3044)))))
-(let ((@x8413 (unit-resolution @x7215 @x3485 (unit-resolution @x8411 @x8410 @x6933 @x6930 @x8240 @x8314 $x7203) $x7202)))
-(let ((@x8417 (unit-resolution (unit-resolution (def-axiom (or $x8334 (not $x6813))) @x8147 (not $x6813)) (symm @x8413 $x6813) false)))
+(let ((@x8111 (lemma (unit-resolution @x7231 @x5748 @x6225 @x8341 @x8452 false) (or $x6886 (not $x4499)))))
+(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 $x6378)))
+(let (($x6188 (or $x3683 $x4445 $x6378)))
+(let (($x6219 (or (not (or $x6238 (<= (+ ?x6234 ?x1173 (* (- 1) ?x6374)) 0))) $x6378)))
+(let (($x6365 (or $x3683 $x6219)))
+(let (($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)))))
+(let ((@x4408 (trans @x7239 (rewrite (= (<= (+ ?x1173 ?x6234 (* (- 1) ?x6374)) 0) $x7540)) (= $x6539 $x7540))))
+(let ((@x6718 (monotonicity (monotonicity @x4408 (= (or $x6238 $x6539) $x4492)) (= (not (or $x6238 $x6539)) $x4445))))
+(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)))
+(let ((@x8177 (unit-resolution (unit-resolution @x7425 @x6588 $x7378) (unit-resolution (def-axiom (or $x4492 (not $x7540))) @x8141 (not $x7540)) (unit-resolution (def-axiom (or $x4492 $x7360)) @x8141 $x7360) $x7408)))
+(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 ((@x9296 (unit-resolution @x3365 (lemma @x8417 $x2760) (unit-resolution (def-axiom (or $x3761 $x3755)) @x9294 $x3755) $x3752)))
-(let ((@x8225 (rewrite (= (or $x3717 (or $x4278 $x4127 $x4382)) (or $x3717 $x4278 $x4127 $x4382)))))
-(let ((@x8229 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or $x3717 (or $x4278 $x4127 $x4382))) @x8225 (or $x3717 $x4278 $x4127 $x4382))))
-(let ((@x9299 (unit-resolution @x8229 (unit-resolution (def-axiom (or $x3749 $x3712)) @x9296 $x3712) @x7482 (or $x4278 $x4382))))
+(let ((@x9306 (unit-resolution @x3365 (lemma @x8386 $x2760) (unit-resolution (def-axiom (or $x3761 $x3755)) @x9304 $x3755) $x3752)))
+(let ((@x8028 (rewrite (= (or $x3717 (or $x4278 $x4127 $x4382)) (or $x3717 $x4278 $x4127 $x4382)))))
+(let ((@x7980 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or $x3717 (or $x4278 $x4127 $x4382))) @x8028 (or $x3717 $x4278 $x4127 $x4382))))
+(let ((@x9309 (unit-resolution @x7980 (unit-resolution (def-axiom (or $x3749 $x3712)) @x9306 $x3712) @x7413 (or $x4278 $x4382))))
(let (($x4508 (>= ?x4487 0)))
-(let ((@x9304 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or $x4508 (not $x4569) (not $x3886))) @x6925 (or $x4508 (not $x4569)))))
-(let ((@x9306 ((_ th-lemma arith eq-propagate -1 -1 -1 -1 -1 -1 1 1) (unit-resolution @x9304 (hypothesis $x4569) $x4508) @x9285 (unit-resolution @x9299 @x9292 $x4382) @x9290 @x6019 @x6933 @x6930 @x7839 $x5391)))
+(let ((@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 $x5387)))
(let (($x5389 (or $x5386 $x5388)))
-(let ((@x7598 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or (not $x3480) $x5389)) (rewrite (= (or (not $x3480) $x5389) (or (not $x3480) $x5386 $x5388))) (or (not $x3480) $x5386 $x5388))))
-(let ((@x9311 (unit-resolution (unit-resolution @x7598 @x3485 $x5389) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5391) $x5387)) @x9306 $x5387) $x5386)))
-(let ((@x8045 (unit-resolution (lemma (unit-resolution @x9311 @x9328 false) (or $x4400 $x3734 (not $x4569))) (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x7751 $x4400)))
-(let ((@x8812 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x4400) $x5977)) @x8045 $x5977)))
+(let ((@x7596 (mp ((_ quant-inst v_b_v_G_1$ ?v0!20) (or (not $x3480) $x5389)) (rewrite (= (or (not $x3480) $x5389) (or (not $x3480) $x5386 $x5388))) (or (not $x3480) $x5386 $x5388))))
+(let ((@x9321 (unit-resolution (unit-resolution @x7596 @x3485 $x5389) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5391) $x5387)) @x9316 $x5387) $x5386)))
+(let ((@x8870 (unit-resolution (lemma (unit-resolution @x9321 @x9338 false) (or $x4400 $x3734 (not $x4569))) (unit-resolution (def-axiom (or $x3737 $x3729)) @x4391 $x3729) @x4467 $x4400)))
+(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)))
(let ((?x4649 (b_G$ ?x4648)))
@@ -2873,7 +2841,7 @@
(let ((?x4642 (fun_app$c v_b_SP_G_1$ ?x4641)))
(let ((?x4643 (* (- 1) ?x4642)))
(let ((?x4651 (+ ?x4393 ?x4643 ?x4650)))
-(let (($x4391 (>= ?x4651 0)))
+(let (($x8653 (>= ?x4651 0)))
(let (($x4652 (= ?x4651 0)))
(let (($x4653 (not $x4652)))
(let (($x4646 (fun_app$ v_b_Visited_G_1$ ?x4641)))
@@ -2884,14 +2852,14 @@
(let (($x4655 (not $x4654)))
(let (($x4640 (<= (+ b_Infinity$ ?x4418) 0)))
(let (($x7886 (not $x4640)))
-(let ((@x8816 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1) (or (not $x5977) $x1914 $x7886)) @x8812 (unit-resolution (def-axiom (or $x3737 $x1915)) @x8092 $x1915) $x7886)))
+(let ((@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 ((@x8817 (unit-resolution @x7415 @x4545 (unit-resolution (def-axiom (or $x3737 $x1910)) @x8092 $x1910) (or $x4640 $x4655))))
-(let ((@x8826 (unit-resolution @x8817 @x8816 $x4655)))
-(let ((@x6085 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x4391)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x4391)))
-(let (($x7707 (<= ?x4651 0)))
-(let ((@x8177 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x4653 $x7707)) (unit-resolution (def-axiom (or $x4654 $x4652)) @x8826 $x4652) $x7707)))
+(let ((@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) $x8584)))
(let (($x4689 (fun_app$ v_b_Visited_G_2$ ?x4641)))
(let ((@x6032 (monotonicity (symm (hypothesis $x266) (= ?x265 v_b_Visited_G_2$)) (= (fun_app$ ?x265 ?x4641) $x4689))))
(let ((@x6036 (monotonicity (symm @x6032 (= $x4689 (fun_app$ ?x265 ?x4641))) (= (not $x4689) (not (fun_app$ ?x265 ?x4641))))))
@@ -2906,63 +2874,67 @@
(let ((@x6002 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true (?v1!7 ?v0!20)) (or $x4114 (= $x5978 (ite $x5985 true $x4646)))) @x6001 $x5994)))
(let ((@x6025 (unit-resolution (def-axiom (or (not $x5991) $x5978 (not $x5988))) (unit-resolution (def-axiom (or $x5988 $x4647)) (hypothesis $x4646) $x5988) (or (not $x5991) $x5978))))
(let ((@x6038 (unit-resolution (unit-resolution @x6025 (unit-resolution @x6002 @x3473 $x5991) $x5978) (mp (hypothesis (not $x4689)) @x6036 (not $x5978)) false)))
-(let ((@x8986 (unit-resolution (lemma @x6038 (or $x4689 $x2935 $x4647)) (unit-resolution (def-axiom (or $x3809 $x266)) @x6181 $x266) (or $x4689 $x4647))))
-(let ((@x8987 (unit-resolution @x8986 (unit-resolution (def-axiom (or $x4654 $x4646)) @x8826 $x4646) $x4689)))
+(let ((@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 (($x9248 (<= ?x4868 0)))
-(let (($x8507 (not $x9248)))
+(let (($x7732 (<= ?x4868 0)))
+(let (($x9853 (not $x7732)))
(let ((?x4701 (+ ?x4642 ?x4700)))
(let (($x4708 (>= ?x4701 0)))
-(let ((@x8348 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8507 (not $x4708) $x4645 (not $x5977))) @x8812 (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (unit-resolution (def-axiom (or $x4654 (not $x4645))) @x8826 (not $x4645)) $x8507)))
-(let ((?x8311 (+ ?x1911 ?x4650 ?x4700)))
-(let (($x8266 (>= ?x8311 0)))
-(let ((@x10143 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8266 (not $x4391) (not $x4708) (not $x5977))) (unit-resolution ((_ quant-inst (?v1!7 ?v0!20)) (or $x3691 $x4708)) @x6892 $x4708) (hypothesis $x4391) (hypothesis $x5977) $x8266)))
-(let (($x8534 (<= ?x8311 0)))
+(let ((@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 (($x5038 (<= ?x4701 0)))
-(let (($x5863 (= ?x4642 ?x4697)))
-(let ((@x10149 (symm (commutativity (= $x5863 (= ?x4697 ?x4642))) (= (= ?x4697 ?x4642) $x5863))))
+(let (($x8272 (= ?x4642 ?x4697)))
+(let ((@x9865 (symm (commutativity (= $x8272 (= ?x4697 ?x4642))) (= (= ?x4697 ?x4642) $x8272))))
(let (($x4698 (= ?x4697 ?x4642)))
-(let ((@x7939 (rewrite (= (or $x3700 (or (not $x4689) $x4698)) (or $x3700 (not $x4689) $x4698)))))
-(let ((@x7943 (mp ((_ quant-inst (?v1!7 ?v0!20)) (or $x3700 (or (not $x4689) $x4698))) @x7939 (or $x3700 (not $x4689) $x4698))))
-(let ((@x7980 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x5863) $x5038)) (mp (unit-resolution @x7943 @x7616 (hypothesis $x4689) $x4698) @x10149 $x5863) $x5038)))
-(let (($x8014 (<= ?x4419 0)))
-(let (($x8221 (or $x3691 $x8014)))
-(let ((@x8001 (monotonicity (rewrite (= (+ ?x4393 ?x1912) (+ ?x1912 ?x4393))) (= (>= (+ ?x4393 ?x1912) 0) (>= (+ ?x1912 ?x4393) 0)))))
-(let ((@x8035 (trans @x8001 (rewrite (= (>= (+ ?x1912 ?x4393) 0) $x8014)) (= (>= (+ ?x4393 ?x1912) 0) $x8014))))
-(let ((@x8178 (trans (monotonicity @x8035 (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221)) (rewrite (= $x8221 $x8221)) (= (or $x3691 (>= (+ ?x4393 ?x1912) 0)) $x8221))))
-(let ((@x8659 (unit-resolution (mp ((_ quant-inst ?v0!20) (or $x3691 (>= (+ ?x4393 ?x1912) 0))) @x8178 $x8221) @x6892 $x8014)))
-(let ((@x8083 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1) (or $x8534 (not $x7707) (not $x5038) (not $x8014))) @x8659 (hypothesis $x7707) @x7980 $x8534)))
-(let (($x9251 (= ?x8311 0)))
-(let (($x8749 (not $x9251)))
+(let ((@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 $x4689)))
-(let (($x8567 (or $x3734 $x9248 $x4690 $x8749)))
+(let (($x6495 (or $x3734 $x7732 $x4690 $x9226)))
(let (($x4857 (>= (+ ?x4697 ?x1912) 0)))
(let (($x4861 (or $x4857 $x4690 (not (= (+ ?x4697 ?x1912 ?x4649) 0)))))
-(let (($x8927 (or $x3734 $x4861)))
-(let ((@x8955 (monotonicity (rewrite (= (+ ?x4697 ?x1912 ?x4649) (+ ?x1912 ?x4649 ?x4697))) (= (= (+ ?x4697 ?x1912 ?x4649) 0) (= (+ ?x1912 ?x4649 ?x4697) 0)))))
-(let ((@x8627 (trans @x8955 (rewrite (= (= (+ ?x1912 ?x4649 ?x4697) 0) $x9251)) (= (= (+ ?x4697 ?x1912 ?x4649) 0) $x9251))))
-(let ((@x8965 (monotonicity (rewrite (= (+ ?x4697 ?x1912) (+ ?x1912 ?x4697))) (= $x4857 (>= (+ ?x1912 ?x4697) 0)))))
-(let ((@x8985 (trans @x8965 (rewrite (= (>= (+ ?x1912 ?x4697) 0) $x9248)) (= $x4857 $x9248))))
-(let ((@x9087 (monotonicity @x8985 (monotonicity @x8627 (= (not (= (+ ?x4697 ?x1912 ?x4649) 0)) $x8749)) (= $x4861 (or $x9248 $x4690 $x8749)))))
-(let ((@x8874 (trans (monotonicity @x9087 (= $x8927 (or $x3734 (or $x9248 $x4690 $x8749)))) (rewrite (= (or $x3734 (or $x9248 $x4690 $x8749)) $x8567)) (= $x8927 $x8567))))
-(let ((@x8397 (unit-resolution (mp ((_ quant-inst (?v1!7 ?v0!20)) $x8927) @x8874 $x8567) (hypothesis $x3729) (hypothesis $x4689) (or $x9248 $x8749))))
-(let ((@x5592 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x9251 (not $x8534) (not $x8266))) (unit-resolution @x8397 (hypothesis $x8507) $x8749) @x8083 @x10143 false)))
-(let ((@x8013 (unit-resolution (lemma @x5592 (or $x9248 $x3734 $x4690 (not $x7707) (not $x4391) (not $x5977))) @x8348 (unit-resolution (def-axiom (or $x3737 $x3729)) @x8092 $x3729) @x8987 @x8177 @x6085 @x8812 false)))
+(let (($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 ((@x8433 (unit-resolution @x3278 (unit-resolution (def-axiom (or $x3749 $x3743)) @x9296 $x3743) $x3743)))
+(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 ((@x8434 (unit-resolution @x3380 (unit-resolution @x8433 (lemma @x8013 $x3737) $x2811) $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 (($x6615 (= ?x1892 ?x6619)))
-(let (($x7618 (not $x6615)))
-(let ((@x7591 (hypothesis $x2811)))
-(let ((@x7607 (unit-resolution (def-axiom (or $x2806 $x1883)) @x7591 $x1883)))
-(let ((@x7571 (hypothesis $x3378)))
+(let (($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 ((@x7592 (unit-resolution (def-axiom (or $x2806 $x1889)) @x7591 $x1889)))
+(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)))
@@ -2974,23 +2946,20 @@
(let (($x6211 (not $x7246)))
(let (($x7248 (>= (+ ?x1885 ?x6619 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
(let (($x7499 (not $x7248)))
-(let ((?x6721 (* (- 1) ?x6619)))
-(let ((?x5600 (+ ?x1892 ?x6721)))
-(let (($x7353 (>= ?x5600 0)))
-(let ((@x8658 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x7618 $x7353)) (hypothesis $x6615) $x7353)))
-(let (($x7076 (<= (+ ?x1893 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19))) 0)))
+(let ((@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 $x7076)))
-(let (($x7081 (= (or $x3691 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)) $x7084)))
-(let ((@x7078 (rewrite (= (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0) $x7076))))
-(let (($x7048 (>= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) 0)))
-(let (($x7069 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1894) (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)))))
-(let ((@x7073 (monotonicity (rewrite $x7069) (= $x7048 (>= (+ ?x1894 (fun_app$c v_b_SP_G_1$ ?v0!19)) 0)))))
-(let ((@x7090 (trans (monotonicity (trans @x7073 @x7078 (= $x7048 $x7076)) $x7081) (rewrite (= $x7084 $x7084)) $x7081)))
-(let ((@x7496 (unit-resolution (mp ((_ quant-inst ?v0!19) (or $x3691 $x7048)) @x7090 $x7084) @x6892 $x7076)))
-(let ((@x7501 (lemma ((_ th-lemma arith farkas 1 -1 -1 1) (hypothesis $x7248) @x7571 @x7496 (hypothesis $x7353) false) (or $x7499 $x1896 (not $x7353)))))
+(let ((@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 ((@x8673 (unit-resolution (unit-resolution @x7051 @x4223 (hypothesis $x1889) (or $x6211 $x7248)) (unit-resolution @x7501 @x8658 @x7571 $x7499) $x6211)))
+(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)))
@@ -2999,47 +2968,49 @@
(let ((@x6845 (monotonicity @x6743 (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
(let ((@x4954 (trans @x6845 (rewrite (= $x6746 $x6746)) (= (or $x4114 (= $x6667 (ite $x7243 true $x7246))) $x6746))))
(let ((@x6537 (mp ((_ quant-inst v_b_Visited_G_1$ v_b_v_G_1$ true ?v1!18) (or $x4114 (= $x6667 (ite $x7243 true $x7246)))) @x4954 $x6746)))
-(let ((@x8675 (mp (hypothesis $x1883) (symm (monotonicity @x5875 (= $x6667 $x1883)) (= $x1883 $x6667)) $x6667)))
-(let ((@x8676 (unit-resolution (def-axiom (or (not $x6740) (not $x6667) $x7222)) @x8675 (unit-resolution @x6537 @x3473 $x6740) $x7222)))
+(let ((@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 ((@x8679 (unit-resolution @x7011 (unit-resolution @x7002 (unit-resolution @x4955 @x8676 @x8673 $x7243) $x7003) $x7556)))
-(let (($x7102 (<= (+ b_Infinity$ ?x7100) 0)))
-(let ((?x7171 (+ ?x257 ?x1894 ?x7111)))
-(let (($x7252 (>= ?x7171 0)))
-(let (($x7576 (not $x7252)))
+(let ((@x9060 (unit-resolution @x7011 (unit-resolution @x7002 (unit-resolution @x4955 @x9163 @x9076 $x7243) $x7003) $x7556)))
(let (($x7366 (<= (+ ?x257 ?x6721) 0)))
-(let (($x8449 (or $x3665 $x7246 $x7366)))
+(let (($x8813 (or $x3665 $x7246 $x7366)))
(let (($x7357 (>= (+ ?x6619 ?x1173) 0)))
(let (($x7358 (or $x7246 $x7357)))
-(let (($x8450 (or $x3665 $x7358)))
-(let ((@x8441 (monotonicity (rewrite (= (+ ?x6619 ?x1173) (+ ?x1173 ?x6619))) (= $x7357 (>= (+ ?x1173 ?x6619) 0)))))
-(let ((@x8445 (trans @x8441 (rewrite (= (>= (+ ?x1173 ?x6619) 0) $x7366)) (= $x7357 $x7366))))
-(let ((@x8454 (monotonicity (monotonicity @x8445 (= $x7358 (or $x7246 $x7366))) (= $x8450 (or $x3665 (or $x7246 $x7366))))))
-(let ((@x8458 (trans @x8454 (rewrite (= (or $x3665 (or $x7246 $x7366)) $x8449)) (= $x8450 $x8449))))
-(let ((@x8681 (unit-resolution (mp ((_ quant-inst ?v1!18) $x8450) @x8458 $x8449) (unit-resolution (def-axiom (or $x3809 $x3660)) @x6181 $x3660) @x8673 $x7366)))
-(let ((@x8685 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 1) (or $x7576 $x1896 (not $x7353) (not $x7366) (not $x7556))) @x8681 @x8679 @x7571 @x8658 $x7576)))
-(let ((@x8686 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x7171 0)) $x7252)) @x8685 (not (= ?x7171 0)))))
-(let (($x7117 (>= (+ ?x257 (* (- 1) (fun_app$c v_b_SP_G_1$ ?v0!19)) ?x7111) 0)))
+(let (($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 ((@x8688 ((_ th-lemma arith assign-bounds -1 -1 1 -1 1) (or $x7161 (not $x7076) $x1896 (not $x7353) (not $x7366) (not $x7556)))))
+(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 (<= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) 0)))
+(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) $x7174))))
-(let ((@x7119 (rewrite (= (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0) $x7117))))
-(let (($x7112 (= (+ (fun_app$c v_b_SP_G_1$ ?v0!19) ?x1173 ?x7100) (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100))))
-(let ((@x7115 (monotonicity (rewrite $x7112) (= $x7104 (<= (+ ?x1173 (fun_app$c v_b_SP_G_1$ ?v0!19) ?x7100) 0)))))
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