%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:49:49 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f51,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f52,plain,
true = n0(d,c),
inference(reorient_equations,[],[f51]) ).
fof(f205,axiom,
! [X0,X1] : ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).
fof(f206,plain,
! [X0,X1] : true = ifeq(n0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f205]) ).
fof(f343,axiom,
! [X2,X0,X1] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f344,plain,
! [X2,X0,X1] : true = ifeq(p1(X0,X1,X2),true,n2(X2),true),
inference(reorient_equations,[],[f343]) ).
fof(f485,axiom,
! [X0] : ifeq(n2(X0),true,k3(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f486,plain,
! [X0] : true = ifeq(n2(X0),true,k3(X0,X0,X0),true),
inference(reorient_equations,[],[f485]) ).
fof(f635,axiom,
! [X0,X1] : ifeq(k3(X0,X0,X1),true,p4(X0,X1,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
fof(f636,plain,
! [X0,X1] : true = ifeq(k3(X0,X0,X1),true,p4(X0,X1,X0),true),
inference(reorient_equations,[],[f635]) ).
fof(f723,negated_conjecture,
! [X0,X1] : p4(X0,c,X1) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
! [X0,X1] : true != p4(X0,c,X1),
inference(reorient_equations,[],[f723]) ).
fof(f999,plain,
true = ifeq(true,true,p1(c,c,c),true),
inference(superposition,[],[f206,f52]) ).
fof(f1013,plain,
true = p1(c,c,c),
inference(forward_demodulation,[],[f999,f1]) ).
fof(f1049,plain,
true = ifeq(true,true,n2(c),true),
inference(superposition,[],[f344,f1013]) ).
fof(f1050,plain,
true = n2(c),
inference(forward_demodulation,[],[f1049,f1]) ).
fof(f1053,plain,
true = ifeq(true,true,k3(c,c,c),true),
inference(superposition,[],[f486,f1050]) ).
fof(f1055,plain,
true = k3(c,c,c),
inference(forward_demodulation,[],[f1053,f1]) ).
fof(f1695,plain,
true = ifeq(true,true,p4(c,c,c),true),
inference(superposition,[],[f636,f1055]) ).
fof(f1696,plain,
true = p4(c,c,c),
inference(forward_demodulation,[],[f1695,f1]) ).
fof(f1702,plain,
$false,
inference(forward_subsumption_resolution,[],[f1696,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:35:26 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.30 % (2498698)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.19/1.30 % (2498752)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4038087030:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.19/1.30 % (2498755)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=660817832:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.19/1.30 % (2498756)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1540881898:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.19/1.30 % (2498750)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4230877077:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.19/1.30 % (2498754)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3978800011:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.19/1.30 % (2498751)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=167193819:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.19/1.30 % (2498753)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=224225719:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.19/1.30 % (2498756)First to succeed.
% 0.19/1.30 % (2498754)Refutation not found, incomplete strategy
% 0.19/1.30 % (2498754)------------------------------
% 0.19/1.30 % (2498754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (2498754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (2498754)CaDiCaL version: 2.1.3
% 0.19/1.30 % (2498754)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (2498754)Time elapsed: 0.037 s
% 0.19/1.30 % (2498754)Peak memory usage: 89 MB
% 0.19/1.30 % (2498754)Instructions burned: 68 (million)
% 0.19/1.30 % (2498756)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2498698"
% 0.19/1.30 % (2498753)Instruction limit reached!
% 0.19/1.30 % (2498753)------------------------------
% 0.19/1.30 % (2498753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (2498753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (2498753)CaDiCaL version: 2.1.3
% 0.19/1.30 % (2498753)Termination reason: Instruction limit
% 0.19/1.30 % (2498753)Termination phase: Saturation
% 0.19/1.30 % (2498753)Time elapsed: 0.074 s
% 0.19/1.30 % (2498753)Peak memory usage: 88 MB
% 0.19/1.30 % (2498753)Instructions burned: 136 (million)
% 0.19/1.30 % (2498755)Instruction limit reached!
% 0.19/1.30 % (2498755)------------------------------
% 0.19/1.30 % (2498755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (2498755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (2498755)CaDiCaL version: 2.1.3
% 0.19/1.30 % (2498755)Termination reason: Instruction limit
% 0.19/1.30 % (2498755)Termination phase: Saturation
% 0.19/1.30 % (2498755)Time elapsed: 0.150 s
% 0.19/1.30 % (2498755)Peak memory usage: 90 MB
% 0.19/1.30 % (2498755)Instructions burned: 258 (million)
% 0.19/1.30 % (2498764)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=146126165:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.19/1.30 % (2498754)------------------------------
% 0.19/1.30 % (2498754)------------------------------
% 0.19/1.30 % (2498765)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2008112157:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 0.19/1.30 % (2498756)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (2498756)------------------------------
% 0.19/1.30 % (2498756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (2498756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (2498756)CaDiCaL version: 2.1.3
% 0.19/1.30 % (2498756)Termination reason: Refutation
% 0.19/1.30 % (2498756)Time elapsed: 0.037 s
% 0.19/1.30 % (2498756)Peak memory usage: 88 MB
% 0.19/1.30 % (2498756)Instructions burned: 65 (million)
% 0.19/1.30 % (2498756)------------------------------
% 0.19/1.30 % (2498756)------------------------------
% 0.19/1.30 % (2498698)Success in time 0.442 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------