%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:46:40 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] : fail(X0,n(z)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
fof(f45,axiom,
! [X0] : d(n(X0)) = n(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
fof(f46,plain,
! [X0] : n(z) = d(n(X0)),
inference(reorient_equations,[],[f45]) ).
fof(f47,axiom,
! [X0,X1] : d(x(X0,X1)) = x(d(X0),d(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
fof(f49,axiom,
d(x2) = n(s(z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
fof(f50,plain,
n(s(z)) = d(x2),
inference(reorient_equations,[],[f49]) ).
fof(f57,axiom,
! [X0] : opt(x(n(z),X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).
fof(f58,axiom,
! [X2,X0,X1] : opt(x(x(X0,X1),X2)) = fail(x(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_053) ).
fof(f71,axiom,
! [X0] : prop4(X0) = eq2(opt(d(X0)),opt(d(opt(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
fof(f91,axiom,
! [X2,X0,X1] : eq2(x(X0,X1),n(X2)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_074) ).
fof(f92,plain,
! [X2,X0,X1] : bfalse = eq2(x(X0,X1),n(X2)),
inference(reorient_equations,[],[f91]) ).
fof(f119,axiom,
! [X0] : eq3(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_088) ).
fof(f120,plain,
! [X0] : btrue = eq3(X0,X0),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
! [X0] : eq3(prop4(X0),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f122,plain,
! [X0] : btrue != eq3(prop4(X0),bfalse),
inference(reorient_equations,[],[f121]) ).
fof(f138,plain,
! [X0] : btrue != eq3(eq2(opt(d(X0)),opt(d(opt(X0)))),bfalse),
inference(definition_unfolding,[],[f122,f71]) ).
fof(f202,plain,
! [X0,X1] : bfalse = eq2(x(X0,X1),d(x2)),
inference(superposition,[],[f92,f50]) ).
fof(f241,plain,
! [X0,X1] : d(x(n(X0),X1)) = x(n(z),d(X1)),
inference(superposition,[],[f47,f46]) ).
fof(f243,plain,
! [X0,X1] : d(x(X0,n(X1))) = x(d(X0),n(z)),
inference(superposition,[],[f47,f46]) ).
fof(f402,plain,
! [X2,X0,X1] : opt(x(d(x(X0,X1)),X2)) = fail(d(x(X0,X1)),X2),
inference(superposition,[],[f58,f47]) ).
fof(f405,plain,
! [X2,X0,X1] : btrue != eq3(eq2(opt(d(x(x(X0,X1),X2))),opt(d(fail(x(X0,X1),X2)))),bfalse),
inference(superposition,[],[f138,f58]) ).
fof(f641,plain,
! [X0,X1] : btrue != eq3(eq2(opt(d(x(x(X0,X1),n(z)))),opt(d(x(X0,X1)))),bfalse),
inference(superposition,[],[f405,f15]) ).
fof(f647,plain,
! [X0,X1] : btrue != eq3(eq2(opt(x(d(x(X0,X1)),n(z))),opt(d(x(X0,X1)))),bfalse),
inference(forward_demodulation,[],[f641,f243]) ).
fof(f649,plain,
! [X0,X1] : btrue != eq3(eq2(fail(d(x(X0,X1)),n(z)),opt(d(x(X0,X1)))),bfalse),
inference(forward_demodulation,[],[f647,f402]) ).
fof(f651,plain,
! [X0,X1] : btrue != eq3(eq2(d(x(X0,X1)),opt(d(x(X0,X1)))),bfalse),
inference(forward_demodulation,[],[f649,f15]) ).
fof(f1701,plain,
! [X0] : btrue != eq3(eq2(x(n(z),d(X0)),opt(x(n(z),d(X0)))),bfalse),
inference(superposition,[],[f651,f241]) ).
fof(f1725,plain,
! [X0] : btrue != eq3(eq2(x(n(z),d(X0)),d(X0)),bfalse),
inference(forward_demodulation,[],[f1701,f57]) ).
fof(f1825,plain,
btrue != eq3(bfalse,bfalse),
inference(superposition,[],[f1725,f202]) ).
fof(f1826,plain,
$false,
inference(forward_subsumption_resolution,[],[f1825,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:05:40 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (2484339)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2484348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1780613984:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (2484345)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2484345)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4019036399:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (2484344)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1905770523_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (2484346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=302747742:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (2484347)dis+10_1_sil=32000:sp=arity:random_seed=3969201305:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % (2484349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2901555926:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (2484350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3992646032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % (2484348) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2484339-2484348"...
% 0.20/0.29 % (2484348)...printing done.
% 0.20/0.29 % (2484348)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (2484348)------------------------------
% 0.20/0.30 % (2484348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (2484348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (2484348)CaDiCaL version: 2.1.3
% 0.20/0.30 % (2484348)Termination reason: Refutation
% 0.20/0.30 % (2484348)Time elapsed: 0.036 s
% 0.20/0.30 % (2484348)Peak memory usage: 14 MB
% 0.20/0.30 % (2484348)Instructions burned: 109 (million)
% 0.20/0.30 % (2484339)Success in time 0.07 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------