%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n015.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 01:46:06 PM UTC 2026
% Result : Unsatisfiable 3.50s 1.16s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f123,plain,
! [X0] : btrue != eq3(eq2(opt(d(X0)),opt(d(opt(X0)))),bfalse),
inference(definition_unfolding,[],[f122,f71]) ).
fof(f144,plain,
! [X0] : btrue != eq3(eq2(opt(d(x(n(z),X0))),opt(d(X0))),bfalse),
inference(superposition,[],[f123,f57]) ).
fof(f164,plain,
! [X0,X1] : bfalse = eq2(x(X0,X1),d(x2)),
inference(superposition,[],[f92,f50]) ).
fof(f166,plain,
! [X0,X1] : d(x(n(X0),X1)) = x(n(z),d(X1)),
inference(superposition,[],[f47,f46]) ).
fof(f495,plain,
! [X0,X1] : btrue != eq3(eq2(opt(d(x(n(z),x(n(X1),X0)))),opt(x(n(z),d(X0)))),bfalse),
inference(superposition,[],[f144,f166]) ).
fof(f498,plain,
! [X0,X1] : btrue != eq3(eq2(opt(d(x(n(z),x(n(X1),X0)))),d(X0)),bfalse),
inference(forward_demodulation,[],[f495,f57]) ).
fof(f503,plain,
! [X0,X1] : btrue != eq3(eq2(opt(x(n(z),d(x(n(X1),X0)))),d(X0)),bfalse),
inference(forward_demodulation,[],[f498,f166]) ).
fof(f507,plain,
! [X0,X1] : btrue != eq3(eq2(d(x(n(X1),X0)),d(X0)),bfalse),
inference(forward_demodulation,[],[f503,f57]) ).
fof(f511,plain,
! [X0] : btrue != eq3(eq2(x(n(z),d(X0)),d(X0)),bfalse),
inference(forward_demodulation,[],[f507,f166]) ).
fof(f568,plain,
btrue != eq3(bfalse,bfalse),
inference(superposition,[],[f511,f164]) ).
fof(f569,plain,
$false,
inference(forward_subsumption_resolution,[],[f568,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n015.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:11:02 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/1.16 % (2703659)Input is clausal, will run a generic CNF schedule.
% 3.50/1.16 % (2703665)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3396452903:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.16 % (2703667)lrs+10_1_sil=8000:sp=occurrence:random_seed=878537277:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.16 % (2703668)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3534920009:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.16 % (2703666)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2769595805:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.16 % (2703664)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=811091776:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.16 % (2703670)dis-21_1_sil=8000:lcm=predicate:random_seed=1271914675:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.50/1.16 % (2703669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4288508021:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.16 % (2703670)Refutation not found, incomplete strategy
% 3.50/1.16 % (2703670)------------------------------
% 3.50/1.16 % (2703670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (2703670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (2703670)CaDiCaL version: 2.1.3
% 3.50/1.16 % (2703670)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.16 % (2703670)Time elapsed: 0.003 s
% 3.50/1.16 % (2703670)Peak memory usage: 88 MB
% 3.50/1.16 % (2703670)Instructions burned: 4 (million)
% 3.50/1.16 % (2703667)First to succeed.
% 3.50/1.16 % (2703667)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2703659"
% 3.50/1.16 % (2703668)Instruction limit reached!
% 3.50/1.16 % (2703668)------------------------------
% 3.50/1.16 % (2703668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (2703668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (2703668)CaDiCaL version: 2.1.3
% 3.50/1.16 % (2703668)Termination reason: Instruction limit
% 3.50/1.16 % (2703668)Termination phase: Saturation
% 3.50/1.16 % (2703668)Time elapsed: 0.067 s
% 3.50/1.16 % (2703668)Peak memory usage: 89 MB
% 3.50/1.16 % (2703668)Instructions burned: 115 (million)
% 3.50/1.16 % (2703669)Instruction limit reached!
% 3.50/1.16 % (2703669)------------------------------
% 3.50/1.16 % (2703669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (2703669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (2703669)CaDiCaL version: 2.1.3
% 3.50/1.16 % (2703669)Termination reason: Instruction limit
% 3.50/1.16 % (2703669)Termination phase: Saturation
% 3.50/1.16 % (2703669)Time elapsed: 0.110 s
% 3.50/1.16 % (2703669)Peak memory usage: 90 MB
% 3.50/1.16 % (2703669)Instructions burned: 180 (million)
% 3.50/1.16 % (2703678)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1781474689:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.50/1.16 % (2703678)Refutation not found, incomplete strategy
% 3.50/1.16 % (2703678)------------------------------
% 3.50/1.16 % (2703678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (2703678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (2703678)CaDiCaL version: 2.1.3
% 3.50/1.16 % (2703678)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.16 % (2703678)Time elapsed: 0.002 s
% 3.50/1.16 % (2703678)Peak memory usage: 88 MB
% 3.50/1.16 % (2703678)Instructions burned: 2 (million)
% 3.50/1.16 % (2703670)------------------------------
% 3.50/1.16 % (2703670)------------------------------
% 3.50/1.16 % (2703679)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2138396432:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.50/1.16 % (2703667)Refutation found. Thanks to Tanya!
% 3.50/1.16 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.16 % (2703667)------------------------------
% 3.50/1.16 % (2703667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.16 % (2703667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.16 % (2703667)CaDiCaL version: 2.1.3
% 3.50/1.16 % (2703667)Termination reason: Refutation
% 3.50/1.16 % (2703667)Time elapsed: 0.014 s
% 3.50/1.16 % (2703667)Peak memory usage: 88 MB
% 3.50/1.16 % (2703667)Instructions burned: 22 (million)
% 3.50/1.16 % (2703667)------------------------------
% 3.50/1.16 % (2703667)------------------------------
% 3.50/1.16 % (2703659)Success in time 0.42 s
% 3.50/1.16 % Vampire exiting
%------------------------------------------------------------------------------