%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:40:21 AM UTC 2026
% Result : Theorem 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 95 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 111 ( 46 ~; 40 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 109 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X1 = X4
& X2 = vabs(X3,X0,X5) )
=> ( ( ( X3 != X4
& visFreeVar(X4,X5) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( X3 != X4
& visFreeVar(X4,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 != X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(flattening,[],[f76]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f58]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f61]) ).
fof(f157,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f156]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ~ visFreeVar(X1,X2)
| X3 != X4 ),
inference(cnf_transformation,[],[f77]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f153]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f365,plain,
vtcheck(sK87,vabs(sK88,sK89,veabs),sK90),
inference(cnf_transformation,[],[f157]) ).
fof(f366,plain,
~ visFreeVar(sK85,vabs(sK88,sK89,veabs)),
inference(cnf_transformation,[],[f157]) ).
fof(f367,plain,
~ vtcheck(vbind(sK85,sK86,sK87),vabs(sK88,sK89,veabs),sK90),
inference(cnf_transformation,[],[f157]) ).
fof(f384,plain,
! [X3,X0,X1,X4,X5] :
( X1 != X4
| ~ visFreeVar(X1,vabs(X3,X0,X5))
| X3 != X4 ),
inference(equality_resolution,[],[f176]) ).
fof(f385,plain,
! [X3,X0,X4,X5] :
( ~ visFreeVar(X4,vabs(X3,X0,X5))
| X3 != X4 ),
inference(equality_resolution,[],[f384]) ).
fof(f386,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f385]) ).
fof(f552,plain,
! [X2,X3,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X3,vabs(X3,X4,veabs))
| vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f364]) ).
fof(f842,plain,
! [X2,X3,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(forward_subsumption_resolution,[],[f552,f386]) ).
fof(f845,plain,
! [X0] : vtcheck(vbind(sK88,X0,sK87),vabs(sK88,sK89,veabs),sK90),
inference(resolution,[],[f842,f365]) ).
fof(f847,plain,
! [X0,X1] :
( vtcheck(vbind(X0,X1,sK87),vabs(sK88,sK89,veabs),sK90)
| sK88 = X0
| visFreeVar(X0,vabs(sK88,sK89,veabs)) ),
inference(resolution,[],[f363,f365]) ).
fof(f891,plain,
( sK85 = sK88
| visFreeVar(sK85,vabs(sK88,sK89,veabs)) ),
inference(resolution,[],[f847,f367]) ).
fof(f896,plain,
sK85 = sK88,
inference(forward_subsumption_resolution,[],[f891,f366]) ).
fof(f904,plain,
~ vtcheck(vbind(sK88,sK86,sK87),vabs(sK88,sK89,veabs),sK90),
inference(superposition,[],[f367,f896]) ).
fof(f911,plain,
$false,
inference(forward_subsumption_resolution,[],[f904,f845]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:54:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.31 % (249292)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (249299)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=159110480:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (249298)% WARNING: option uhcvi not known.
% 0.20/0.31 % (249297)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3061377800_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (249298)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2312224942:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (249300)dis+10_1_sil=32000:sp=arity:random_seed=850394571:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (249301)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2650490761:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (249303)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1021289330:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (249302)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=215063059:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % TRYING [1]
% 0.20/0.31 % TRYING [2]
% 0.20/0.31 % (249298) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-249292-249298"...
% 0.20/0.31 % (249300) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-249292-249300"...
% 0.20/0.31 % (249298)...printing done.
% 0.20/0.31 % (249300)...printing done.
% 0.20/0.31 % (249298)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Theorem for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (249298)------------------------------
% 0.20/0.32 % (249298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (249298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (249298)CaDiCaL version: 2.1.3
% 0.20/0.32 % (249298)Termination reason: Refutation
% 0.20/0.32 % (249298)Time elapsed: 0.030 s
% 0.20/0.32 % (249298)Peak memory usage: 12 MB
% 0.20/0.32 % (249298)Instructions burned: 54 (million)
% 0.20/0.32 % (249292)Success in time 0.075 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------