TSTP Solution File: SYN259-1 by cvc5---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0
% Problem  : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 21:24:23 EDT 2022

% Result   : Unsatisfiable 0.86s 1.05s
% Output   : Proof 0.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Sep  5 02:21:10 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.48  ------- cvc5-fof casc J11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p...
% 0.22/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.86/1.05  % SZS status Unsatisfiable for theBenchmark
% 0.86/1.06  % SZS output start Proof for theBenchmark
% 0.86/1.06  (let ((_let_1 (not (r2 a)))) (let ((_let_2 (s0 d))) (let ((_let_3 (not _let_2))) (let ((_let_4 (l0 a))) (let ((_let_5 (not _let_4))) (let ((_let_6 (n0 c d))) (let ((_let_7 (q0 d d))) (let ((_let_8 (k0 e))) (let ((_let_9 (not _let_8))) (let ((_let_10 (q1 d d d))) (let ((_let_11 (not (l2 e b)))) (let ((_let_12 (not (l1 e c)))) (let ((_let_13 (not (r1 d)))) (let ((_let_14 (s2 d))) (let ((_let_15 (not (l1 e e)))) (let ((_let_16 (l2 c c))) (let ((_let_17 (r0 b))) (let ((_let_18 (not _let_17))) (let ((_let_19 (q1 b b b))) (let ((_let_20 (l0 c))) (let ((_let_21 (not _let_20))) (let ((_let_22 (k0 b))) (let ((_let_23 (not _let_22))) (let ((_let_24 (not (s0 e)))) (let ((_let_25 (not (r2 c)))) (let ((_let_26 (k3 c c c))) (let ((_let_27 (r0 e))) (let ((_let_28 (not (l0 b)))) (let ((_let_29 (m1 b b b))) (let ((_let_30 (not _let_27))) (let ((_let_31 (m1 e e e))) (let ((_let_32 (p1 a a a))) (let ((_let_33 (m0 c b a))) (let ((_let_34 (q0 b e))) (let ((_let_35 (forall ((G $$unsorted) (H $$unsorted)) (or (p1 G G G) (not (n0 H G)))))) (let ((_let_36 (p1 b b b))) (let ((_let_37 (m3 b b b))) (let ((_let_38 (not _let_6))) (let ((_let_39 (forall ((X $$unsorted)) (not (p1 X d X))))) (let ((_let_40 (p1 d d d))) (let ((_let_41 (_let_39))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (or _let_40 _let_38))) (let ((_let_44 (_let_35))) (let ((_let_45 (ASSUME :args _let_44))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (p1 X d X) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_38 _let_40 (not _let_43)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (d c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (n0 H G) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_35)) :args (_let_40 false _let_6 false _let_43)) _let_42 :args (false false _let_40 false _let_39)) :args (_let_39 (forall ((B $$unsorted)) (or (r5 B B) (not (k4 B)))) (forall ((C $$unsorted) (D $$unsorted)) (or (r5 C D) (not (s4 C)) (not (k0 b)) (not (n3 D)))) (forall ((G $$unsorted)) (or (q5 G G) (not (m4 G G)))) (forall ((H $$unsorted)) (or (q5 H H) (not (q4 H H)))) (forall ((I $$unsorted)) (or (q5 I I) (not (l4 I)))) (or (q5 a a) (not (r4 a))) (forall ((G $$unsorted) (H $$unsorted)) (or (p5 b b b) (not (p4 G G H)) (not (k5 b)))) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (p5 I J I) (not (q4 J A)) (not (s1 I)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (p5 B C C) (not (l2 B D)) (not (p5 B D B)) (not (m4 D C)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (or (n5 H H) (not (p4 I H H)) (not (s1 H)) (not (p4 b b J)))) (forall ((A $$unsorted)) (or (n5 A A) (not (s1 A)) (not (k4 A)))) (forall ((B $$unsorted)) (or (n5 B B) (not (r4 B)))) (or (n5 d d) (not (p4 c d c))) (forall ((H $$unsorted) (I $$unsorted)) (or (n5 H H) (not (n4 I H)))) (forall ((C $$unsorted)) (or (m5 C C) (not (k4 C)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (m5 D E) (not (r0 D)) (not (p4 D F E)))) (or (k5 b) (not (s4 e)) (not (n1 b b b))) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (k5 E) (not (s4 F)) (not (r3 G E E)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (s4 A) (not (p3 B C D)) (not (l1 A C)))) (or (q4 b b) (not (k3 c e b)) (not (l1 b c))) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (q4 I I) (not (r1 I)) (not (l4 J)) (not (q4 J A)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (q4 B C) (not (k3 D D B)) (not (q2 E C B)) (not (m3 E F E)))) (forall ((B $$unsorted)) (or (p4 c c B) (not (n3 a)) (not (m3 B c a)))) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (or (p4 F F F) (not (k3 G H H)) (not (n4 F H)) (not (p1 H G F)))) (forall ((I $$unsorted) (J $$unsorted)) (or (p4 I I I) (not (p3 J J I)))) (or (n4 d d) (not (k3 c c e)) (not _let_10)) (forall ((J $$unsorted) (A $$unsorted)) (or (n4 J A) (not (p3 J A A)) (not (n4 J J)))) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (or (m4 E F) (not (l2 G F)) (not (s3 a E)))) (forall ((H $$unsorted) (I $$unsorted)) (or (l4 H) (not (m0 I H H)) (not (l4 I)))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted)) (or (l4 J) (not (p3 A B J)))) (forall ((C $$unsorted) (D $$unsorted)) (or (k4 e) (not (q3 C C)) (not (q1 a a D)) (not (r3 C e D)))) (forall ((H $$unsorted) (I $$unsorted)) (or (s5 H) (not (l4 H)) (not (r4 I)))) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (let ((_let_1 (k4 E))) (or _let_1 (not (k3 F F F)) (not (n0 G F)) (not _let_1)))) (or (k4 c) _let_38 (not (q3 e b)) (not (n3 e))) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted) (B $$unsorted)) (or (s3 I J) (not (q2 A I A)) (not (s2 I)) (not (m0 A B J)))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted)) (or (r3 J A B) (not (k2 A B)) (not (r2 B)) (not (r3 B J J)))) (forall ((F $$unsorted)) (or (r3 F b F) (not (r0 F)) (not (p2 b F b)) (not (l2 F F)))) (forall ((G $$unsorted)) (or (r3 a a e) (not (k2 a a)) (not (q2 G e G)) (not (m2 b)) (not (m3 a G G)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (r3 H H I) (not (m2 I)) (not (m3 J b H)) (not (r3 I A A)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (r3 B C B) (not (p2 B D C)))) (forall ((E $$unsorted)) (or (r3 E E E) (not (r2 E)))) (forall ((H $$unsorted)) (or (r3 H H H) (not (s2 H)))) (forall ((G $$unsorted) (H $$unsorted)) (or (r3 G H H) (not (s2 H)) (not (l2 c G)))) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (q3 I I) (not (r2 I)) (not (s1 J)) (not (l2 A A)))) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted)) (or (q3 G H) (not (q2 I G H)) (not (n0 I G)))) (forall ((G $$unsorted)) (or (p3 e b e) (not (m3 e G e)) (not (q2 G G b)))) (or (p3 b c b) (not (k2 c b))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (p3 A A A) (not (n2 A)) (not (q2 B C A)) (not (s1 B)))) (forall ((D $$unsorted)) (or (p3 D D D) (not (l2 D D)))) (forall ((H $$unsorted)) (or (p3 H H H) (not (n2 H)))) (forall ((I $$unsorted)) (or (p3 I d e) (not (l3 b e)) (not (p2 d b c)) (not (n3 I)) (not (q2 I d I)))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted)) (or (p3 J A B) (not (r2 A)) (not (k3 A B J)))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (p3 C D E) (not (q2 F d C)) (not (k2 D E)))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (n3 D) (not (p2 E F D)))) (or _let_37 (not (l2 a b))) (or (m3 c b d) (not (l1 d b)) (not (m2 d)) (not (q2 b c d))) (or _let_37 (not (q2 a b a))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted)) (or (m3 J A A) (not (n2 J)) (not (m2 A)) (not (m3 B J B)))) (forall ((G $$unsorted) (H $$unsorted) (I $$unsorted)) (or (m3 G G G) (not (k2 H I)) (not (m3 G I G)) (not (n0 I a)) (not (l2 a a)))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (m3 J A J) (not (m0 B B A)) (not (l2 C J)) (not (m0 J C C)) (not (s2 B)))) (or (l3 d c) (not _let_14) (not (k3 a c a)) _let_18) (or (l3 c c) (not (k2 b c))) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (l3 D D) (not (k3 E D D)) (not (l2 F F)))) (or (l3 d d) (not (k2 a d))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (p2 C D D) (not (p1 C E F)) (not (l1 E F)) (not (p2 C D C)))) (n0 b a) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (n5 B C) (not (q4 D E)) (not (n4 B E)) (not (p4 F F C)) (not (n5 F C)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (p1 B B B) (not (m1 C D B)) (not (q0 D E)) (not (l0 F)))) (n0 a b) (or _let_36 (not _let_36) _let_3) (forall ((B $$unsorted) (C $$unsorted)) (or (p1 B B C) (not (p0 C B)) (not (r0 B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (p3 A B B) (not (m3 B C D)) (not (p2 A B D)))) (forall ((D $$unsorted) (E $$unsorted)) (or (p1 D D D) (not (n0 e b)) (not (k0 b)) (not (k0 D)) (not (k1 E)))) _let_2 (forall ((F $$unsorted) (G $$unsorted)) (or (p1 F F F) (not (s0 G)) (not (s0 F)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (p1 H I H) (not (l0 J)) (not (p1 I A H)) (not (s0 b)))) (forall ((G $$unsorted)) (or (n1 G G G) (not (k1 G)) (not (p0 G G)))) (or (k2 e e) _let_15) (or _let_26 _let_25) (forall ((I $$unsorted) (J $$unsorted)) (or (p1 I I I) (not (l1 J J)) (not (p0 I J)) (not (n0 J J)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (p1 A A A) (not (m0 B C b)) (not (l0 A)))) (or _let_32 (not (p0 b a))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (m1 C C C) (not (q0 D E)) (not (q0 D C)))) (forall ((G $$unsorted)) (or (p2 b c c) (not (p1 G b b)) (not (n1 e e G)) (not (q1 e c G)))) (forall ((G $$unsorted)) (or (n1 G G G) (not (k0 G)) (not (s0 G)))) (or (n1 d d b) (not _let_34) (not (m1 d e e)) _let_23) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (p4 A A A) (not (m3 B C A)) (not (p4 A C A)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (n1 H H I) (not (m0 J A A)) (not (m0 I J H)))) (or (n1 a a a) _let_5 (not (r0 a))) (forall ((E $$unsorted) (F $$unsorted)) (or (q3 E E) (not (p2 F E E)) (not (q3 F E)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (k3 I J J))) (or _let_1 (not (l1 J I)) (not _let_1)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (r3 A A A) (not (p1 B C A)) (not (l2 C B)) (not (r3 A B A)))) (forall ((J $$unsorted)) (or (m1 J J J) (not (l0 J)) (not (k0 J)) (not (m0 J J J)))) (m0 b a a) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (n1 I I I) (not (m0 J J J)) (not (k1 I)) (not (s0 I)) (not (p0 A J)))) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (let ((_let_1 (n1 F F F))) (or _let_1 (not (m0 G H H)) (not (m0 H F G)) (not _let_1)))) (forall ((B $$unsorted) (C $$unsorted)) (or (p1 B B B) (not (p0 C B)))) _let_35 (forall ((B $$unsorted)) (or (k2 B B) (not (n1 e d B)) (not (m1 B e B)) (not (q1 B B d)))) (forall ((A $$unsorted)) (or (p2 A A A) (not (q1 A A A)))) (forall ((B $$unsorted)) (or (k3 B B B) (not (m2 B)))) (forall ((J $$unsorted) (A $$unsorted)) (or (q5 J A) (not (s4 J)) (not (m2 A)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (or (n1 H I H) (not (p0 J H)) (not (l0 I)) (not (r0 H)))) (forall ((J $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (k3 J J J))) (or _let_1 (not (p0 A J)) (not _let_1) (not (k3 A J B))))) (forall ((I $$unsorted) (J $$unsorted)) (or (m1 I J I) (not (r0 I)) (not (l0 J)))) (or (p1 a b a) _let_18 (not _let_32)) (or (n1 d d d) (not _let_7)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (m1 H I I) (not (m1 J I H)) (not (m1 J A I)))) (forall ((G $$unsorted)) (or (n5 d G) (not (k3 d G a)) (not (n4 G d)))) (forall ((F $$unsorted)) (or (m1 F F F) (not (s0 F)))) (forall ((H $$unsorted) (I $$unsorted)) (or (n4 H H) (not (k4 I)) (not (m3 H H H)))) (forall ((I $$unsorted) (J $$unsorted)) (or (p2 I I I) (not (r1 J)) (not (r0 I)))) (forall ((I $$unsorted) (J $$unsorted)) (or (r3 I I I) (not (m0 d J I)) (not (r3 I I J)))) (or (p1 e e e) _let_30 _let_9) (forall ((H $$unsorted) (I $$unsorted)) (or (m1 H I H) (not (p0 H I)) (not (s0 H)))) (forall ((H $$unsorted)) (or (s2 H) (not (q2 b H b)) (not (s1 b)))) (forall ((B $$unsorted) (C $$unsorted)) (or (p1 B B C) (not (p0 C B)))) (forall ((E $$unsorted) (F $$unsorted)) (or (n1 E c E) (not (m0 F E c)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (q1 B B B) (not (n1 C D D)) (not (p0 C E)) (not (m1 B D C)) (not (q1 E C D)))) (forall ((D $$unsorted) (E $$unsorted)) (or (p1 D D D) (not (m0 b E b)) (not (l1 D b)))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (m1 C C C) (not (m0 D E C)))) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (p1 H I J) (not (m0 J H A)) (not (p1 J H A)))) (forall ((B $$unsorted) (C $$unsorted)) (or (m3 B B C) (not (r2 C)) (not (k3 B C B)))) (forall ((X $$unsorted) (Y $$unsorted)) (m0 X d Y)) (m0 e b c) (forall ((F $$unsorted) (G $$unsorted)) (or (m1 F F F) (not (s0 F)) (not (q0 G d)))) (or (p2 d b b) (not (p1 d b e))) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (k3 C C C) (not (p2 D E D)) (not (m1 C C E)))) (p0 b c) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (or (p4 H I I) (not (r3 I I H)) (not (p4 J J A)))) _let_4 (p0 c b) (or (n1 d e e) (not (p0 d d)) (not (n1 e e e)) _let_18) (forall ((E $$unsorted)) (or (q1 E E E) (not (r0 E)))) (forall ((X $$unsorted)) (q0 X d)) (forall ((G $$unsorted)) (or (n1 G G G) (not (n0 G G)) (not (q0 a G)))) (forall ((I $$unsorted)) (or (s1 I) (not (p0 I I)))) (forall ((G $$unsorted) (H $$unsorted)) (or (q3 G G) (not (m0 H d H)) (not (k1 G)) (not (r2 d)) (not (q3 H G)))) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (or (m1 F a G) (not (m0 a H a)) (not (q0 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% 0.86/1.06  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------