%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n013.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 02:06:56 PM UTC 2026
% Result : Unsatisfiable 0.39s 0.27s
% Output : Refutation 0.39s
% 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(f1029,plain,
true = ifeq(true,true,n2(c),true),
inference(superposition,[],[f344,f1013]) ).
fof(f1030,plain,
true = n2(c),
inference(forward_demodulation,[],[f1029,f1]) ).
fof(f1033,plain,
true = ifeq(true,true,k3(c,c,c),true),
inference(superposition,[],[f486,f1030]) ).
fof(f1035,plain,
true = k3(c,c,c),
inference(forward_demodulation,[],[f1033,f1]) ).
fof(f1729,plain,
true = ifeq(true,true,p4(c,c,c),true),
inference(superposition,[],[f636,f1035]) ).
fof(f1730,plain,
true = p4(c,c,c),
inference(forward_demodulation,[],[f1729,f1]) ).
fof(f1736,plain,
$false,
inference(forward_subsumption_resolution,[],[f1730,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 SAT
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:36:51 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.27 % (1278147)Will run a generic schedule for satisfiability detection.
% 0.39/0.27 % (1278154)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4260431896:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.39/0.27 % (1278153)% WARNING: option uhcvi not known.
% 0.39/0.27 % (1278155)dis+10_1_sil=32000:sp=arity:random_seed=831927394:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.39/0.27 % (1278152)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3613874972_2999 on theBenchmark for (2999ds/0Mi)
% 0.39/0.27 % (1278158)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=328367381:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.39/0.27 % (1278156)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2000935828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.39/0.27 % (1278157)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1717174028:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.27 % (1278153)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=552102586:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.39/0.27 % (1278154) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1278147-1278154"...
% 0.39/0.27 % (1278154)...printing done.
% 0.39/0.27 % (1278154)Refutation found. Thanks to Tanya!
% 0.39/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.27 % (1278154)------------------------------
% 0.39/0.27 % (1278154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (1278154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (1278154)CaDiCaL version: 2.1.3
% 0.39/0.27 % (1278154)Termination reason: Refutation
% 0.39/0.27 % (1278154)Time elapsed: 0.027 s
% 0.39/0.27 % (1278154)Peak memory usage: 12 MB
% 0.39/0.27 % (1278154)Instructions burned: 86 (million)
% 0.39/0.27 % (1278147)Success in time 0.064 s
% 0.39/0.27 % Vampire exiting
%------------------------------------------------------------------------------