%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM142+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 : 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 09:40:23 AM UTC 2026
% Result : Theorem 2.78s 0.66s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 91 ( 26 unt; 5 def)
% Number of atoms : 241 ( 101 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 234 ( 84 ~; 88 |; 52 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 211 ( 0 sgn 157 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
=> ( X0 = X2
& X1 = X3 ) )
& ( ( X0 = X2
& X1 = X3 )
=> vapp(X0,X1) = vapp(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X2,varrow(X0,X4))
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vapp(X2,X3),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X3,X4,X5,X6] :
( X0 = vabs(X3,X5,X4)
& X1 = varrow(X5,X6)
& vtcheck(vbind(X3,X5,X2),X4,X6) )
| ? [X7,X4,X8] :
( X0 = vapp(X7,X4)
& vtcheck(X2,X7,varrow(X8,X1))
& vtcheck(X2,X4,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,ve1app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH1') ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,ve2app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve2app,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH2') ).
fof(f57,conjecture,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app') ).
fof(f58,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f65,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(flattening,[],[f69]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,X3) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X3) ),
inference(ennf_transformation,[],[f56]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X3) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f148,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(flattening,[],[f147]) ).
fof(f164,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f142,f164]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
inference(nnf_transformation,[],[f164]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP12(X0,X1,X2) ),
inference(rectify,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2)) )
| ~ sP12(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X3,sK79(X0,X1,X2)),skolemize(X4,sK80(X0,X1,X2)),skolemize(X5,sK81(X0,X1,X2))],[f208]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ( vvar(sK82(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) )
| ( vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2)) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86]),skolemize(X3,sK82(X0,X1,X2)),skolemize(X4,sK83(X0,X1,X2)),skolemize(X5,sK84(X0,X1,X2)),skolemize(X6,sK85(X0,X1,X2)),skolemize(X7,sK86(X0,X1,X2))],[f165]) ).
fof(f211,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90)
& vnoType = vlookup(sK87,sK89)
& vtcheck(sK89,vapp(ve1app,ve2app),sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f148]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f70]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f70]) ).
fof(f222,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(X1,X2,varrow(X0,X4))
| vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f351,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f352,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X1,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X1,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3) ),
inference(cnf_transformation,[],[f146]) ).
fof(f362,plain,
vtcheck(sK89,vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f211]) ).
fof(f363,plain,
vnoType = vlookup(sK87,sK89),
inference(cnf_transformation,[],[f211]) ).
fof(f364,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f211]) ).
fof(f476,definition,
sF91 = vbind(sK87,sK88,sK89),
introduced(definition,[new_symbols(definition,[sF91])],[function_definition]) ).
fof(f477,plain,
vbind(sK87,sK88,sK89) = sF91,
inference(reorient_equations,[],[f476]) ).
fof(f478,definition,
sF92 = vapp(ve1app,ve2app),
introduced(definition,[new_symbols(definition,[sF92])],[function_definition]) ).
fof(f479,plain,
vapp(ve1app,ve2app) = sF92,
inference(reorient_equations,[],[f478]) ).
fof(f480,plain,
~ vtcheck(sF91,sF92,sK90),
inference(definition_folding,[],[f364,f479,f477]) ).
fof(f481,definition,
sF93 = vlookup(sK87,sK89),
introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).
fof(f482,plain,
vlookup(sK87,sK89) = sF93,
inference(reorient_equations,[],[f481]) ).
fof(f483,plain,
vnoType = sF93,
inference(definition_folding,[],[f363,f482]) ).
fof(f484,plain,
vtcheck(sK89,sF92,sK90),
inference(definition_folding,[],[f362,f479]) ).
fof(f486,plain,
vnoType = vlookup(sK87,sK89),
inference(forward_demodulation,[],[f482,f483]) ).
fof(f488,plain,
! [X0] : vvar(X0) != sF92,
inference(superposition,[],[f222,f479]) ).
fof(f492,plain,
! [X2,X0,X1] : vabs(X0,X1,X2) != sF92,
inference(superposition,[],[f223,f479]) ).
fof(f507,plain,
! [X0,X1] :
( vapp(X0,X1) != sF92
| ve2app = X1 ),
inference(superposition,[],[f219,f479]) ).
fof(f510,plain,
! [X0,X1] :
( vapp(X0,X1) != sF92
| ve1app = X0 ),
inference(superposition,[],[f220,f479]) ).
fof(f697,plain,
! [X0,X1] :
( vnoType != vnoType
| vtcheck(vbind(sK87,X0,sK89),ve1app,X1)
| ~ vtcheck(sK89,ve1app,X1) ),
inference(superposition,[],[f360,f486]) ).
fof(f706,plain,
! [X0,X1] :
( vtcheck(vbind(sK87,X0,sK89),ve1app,X1)
| ~ vtcheck(sK89,ve1app,X1) ),
inference(trivial_inequality_removal,[],[f697]) ).
fof(f712,plain,
! [X0,X1] :
( vnoType != vnoType
| vtcheck(vbind(sK87,X0,sK89),ve2app,X1)
| ~ vtcheck(sK89,ve2app,X1) ),
inference(superposition,[],[f361,f486]) ).
fof(f721,plain,
! [X0,X1] :
( vtcheck(vbind(sK87,X0,sK89),ve2app,X1)
| ~ vtcheck(sK89,ve2app,X1) ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f1146,definition,
( spl94_14
<=> sP12(sF92,sK90,sK89) ),
introduced(definition,[new_symbols(definition,[spl94_14])],[avatar_definition]) ).
fof(f1147,plain,
( ~ sP12(sF92,sK90,sK89)
| spl94_14 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1148,plain,
( sP12(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1161,plain,
( sF92 = vabs(sK83(sF92,sK90,sK89),sK85(sF92,sK90,sK89),sK84(sF92,sK90,sK89))
| sP12(sF92,sK90,sK89)
| sF92 = vvar(sK82(sF92,sK90,sK89)) ),
inference(resolution,[],[f359,f484]) ).
fof(f1309,plain,
! [X0] :
( ~ vtcheck(sK89,ve1app,X0)
| vtcheck(sF91,ve1app,X0) ),
inference(superposition,[],[f706,f477]) ).
fof(f1354,plain,
! [X0] :
( ~ vtcheck(sK89,ve2app,X0)
| vtcheck(sF91,ve2app,X0) ),
inference(superposition,[],[f721,f477]) ).
fof(f1560,plain,
( sP12(sF92,sK90,sK89)
| sF92 = vvar(sK82(sF92,sK90,sK89)) ),
inference(forward_subsumption_resolution,[],[f1161,f492]) ).
fof(f1564,plain,
sP12(sF92,sK90,sK89),
inference(forward_subsumption_resolution,[],[f1560,f488]) ).
fof(f1568,plain,
( $false
| spl94_14 ),
inference(forward_subsumption_resolution,[],[f1564,f1147]) ).
fof(f1569,plain,
spl94_14,
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1575,plain,
( sF92 = vapp(sK79(sF92,sK90,sK89),sK80(sF92,sK90,sK89))
| ~ spl94_14 ),
inference(resolution,[],[f1148,f353]) ).
fof(f1843,plain,
( sF92 != sF92
| ve2app = sK80(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(superposition,[],[f507,f1575]) ).
fof(f1844,plain,
( sF92 != sF92
| ve1app = sK79(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(superposition,[],[f510,f1575]) ).
fof(f1863,plain,
( ve1app = sK79(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(trivial_inequality_removal,[],[f1844]) ).
fof(f1864,plain,
( ve2app = sK80(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(trivial_inequality_removal,[],[f1843]) ).
fof(f1893,plain,
( vtcheck(sK89,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ sP12(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(superposition,[],[f352,f1863]) ).
fof(f1894,plain,
( vtcheck(sK89,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ spl94_14 ),
inference(forward_subsumption_resolution,[],[f1893,f1148]) ).
fof(f1911,plain,
( vtcheck(sK89,ve2app,sK81(sF92,sK90,sK89))
| ~ sP12(sF92,sK90,sK89)
| ~ spl94_14 ),
inference(superposition,[],[f351,f1864]) ).
fof(f1912,plain,
( vtcheck(sK89,ve2app,sK81(sF92,sK90,sK89))
| ~ spl94_14 ),
inference(forward_subsumption_resolution,[],[f1911,f1148]) ).
fof(f1921,plain,
( vtcheck(sF91,ve2app,sK81(sF92,sK90,sK89))
| ~ spl94_14 ),
inference(resolution,[],[f1912,f1354]) ).
fof(f2135,plain,
( vtcheck(sF91,ve1app,varrow(sK81(sF92,sK90,sK89),sK90))
| ~ spl94_14 ),
inference(resolution,[],[f1894,f1309]) ).
fof(f2215,plain,
( ! [X0] :
( ~ vtcheck(sF91,X0,sK81(sF92,sK90,sK89))
| vtcheck(sF91,vapp(ve1app,X0),sK90) )
| ~ spl94_14 ),
inference(resolution,[],[f2135,f350]) ).
fof(f3785,plain,
( vtcheck(sF91,vapp(ve1app,ve2app),sK90)
| ~ spl94_14 ),
inference(resolution,[],[f2215,f1921]) ).
fof(f3787,plain,
( vtcheck(sF91,sF92,sK90)
| ~ spl94_14 ),
inference(forward_demodulation,[],[f3785,f479]) ).
fof(f3788,plain,
( $false
| ~ spl94_14 ),
inference(forward_subsumption_resolution,[],[f3787,f480]) ).
fof(f3789,plain,
~ spl94_14,
inference(avatar_contradiction_clause,[],[f3788]) ).
cnf(s24,plain,
spl94_14,
inference(sat_conversion,[],[f1569]) ).
cnf(s72,plain,
~ spl94_14,
inference(sat_conversion,[],[f3789]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s24,s72]) ).
fof(f3790,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 21:53:41 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 2.78/0.66 % (2894153)Will run a generic schedule for satisfiability detection.
% 2.78/0.66 % (2894161)dis+10_1_sil=32000:sp=arity:random_seed=2453225696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.78/0.66 % (2894159)% WARNING: option uhcvi not known.
% 2.78/0.66 % (2894158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1428232297_2999 on theBenchmark for (2999ds/0Mi)
% 2.78/0.66 % (2894160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2978603282:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.78/0.66 % (2894159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2586940004:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.78/0.66 % (2894162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1170443869:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.78/0.66 % (2894163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4140082299:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.78/0.66 % (2894164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3769248329:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.78/0.66 % TRYING [1]
% 2.78/0.66 % TRYING [2]
% 2.78/0.66 % (2894161)Instruction limit reached!
% 2.78/0.66 % (2894161)------------------------------
% 2.78/0.66 % (2894161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894161)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894161)Termination reason: Instruction limit
% 2.78/0.66 % (2894161)Termination phase: Saturation
% 2.78/0.66 % (2894161)Time elapsed: 0.034 s
% 2.78/0.66 % (2894161)Peak memory usage: 13 MB
% 2.78/0.66 % (2894161)Instructions burned: 103 (million)
% 2.78/0.66 % TRYING [3]
% 2.78/0.66 % (2894172)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=533183576:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.78/0.66 % TRYING [1]
% 2.78/0.66 % TRYING [2]
% 2.78/0.66 % TRYING [3]
% 2.78/0.66 % (2894162)Instruction limit reached!
% 2.78/0.66 % (2894162)------------------------------
% 2.78/0.66 % (2894162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894162)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894162)Termination reason: Instruction limit
% 2.78/0.66 % (2894162)Termination phase: Saturation
% 2.78/0.66 % (2894162)Time elapsed: 0.063 s
% 2.78/0.66 % (2894162)Peak memory usage: 13 MB
% 2.78/0.66 % (2894162)Instructions burned: 118 (million)
% 2.78/0.66 % (2894163)Instruction limit reached!
% 2.78/0.66 % (2894163)------------------------------
% 2.78/0.66 % (2894163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894163)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894163)Termination reason: Instruction limit
% 2.78/0.66 % (2894163)Termination phase: Saturation
% 2.78/0.66 % (2894163)Time elapsed: 0.077 s
% 2.78/0.66 % (2894163)Peak memory usage: 13 MB
% 2.78/0.66 % (2894163)Instructions burned: 131 (million)
% 2.78/0.66 % (2894174)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3705078127:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.78/0.66 % (2894164)Instruction limit reached!
% 2.78/0.66 % (2894164)------------------------------
% 2.78/0.66 % (2894164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894164)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894164)Termination reason: Instruction limit
% 2.78/0.66 % (2894164)Termination phase: Saturation
% 2.78/0.66 % (2894164)Time elapsed: 0.091 s
% 2.78/0.66 % (2894164)Peak memory usage: 14 MB
% 2.78/0.66 % (2894164)Instructions burned: 160 (million)
% 2.78/0.66 % (2894175)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2735294213:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.78/0.66 % (2894177)ott-21_1_sil=16000:fs=off:random_seed=2320331458:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.78/0.66 % (2894174)Instruction limit reached!
% 2.78/0.66 % (2894174)------------------------------
% 2.78/0.66 % (2894174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894174)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894174)Termination reason: Instruction limit
% 2.78/0.66 % (2894174)Termination phase: Saturation
% 2.78/0.66 % (2894174)Time elapsed: 0.071 s
% 2.78/0.66 % (2894174)Peak memory usage: 13 MB
% 2.78/0.66 % (2894174)Instructions burned: 131 (million)
% 2.78/0.66 % (2894180)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3572020916:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.78/0.66 % (2894172)Instruction limit reached!
% 2.78/0.66 % (2894172)------------------------------
% 2.78/0.66 % (2894172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894172)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894172)Termination reason: Instruction limit
% 2.78/0.66 % (2894172)Termination phase: Finite model building SAT solving
% 2.78/0.66 % (2894172)Time elapsed: 0.141 s
% 2.78/0.66 % (2894172)Peak memory usage: 43 MB
% 2.78/0.66 % (2894172)Instructions burned: 717 (million)
% 2.78/0.66 % (2894182)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1527661255:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.78/0.66 % TRYING [1]
% 2.78/0.66 % TRYING [2]
% 2.78/0.66 % (2894177)Instruction limit reached!
% 2.78/0.66 % (2894177)------------------------------
% 2.78/0.66 % (2894177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894177)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894177)Termination reason: Instruction limit
% 2.78/0.66 % (2894177)Termination phase: Saturation
% 2.78/0.66 % (2894177)Time elapsed: 0.094 s
% 2.78/0.66 % (2894177)Peak memory usage: 13 MB
% 2.78/0.66 % (2894177)Instructions burned: 182 (million)
% 2.78/0.66 % TRYING [3]
% 2.78/0.66 % (2894184)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2147776488:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.78/0.66 % TRYING [4]
% 2.78/0.66 % (2894182)Instruction limit reached!
% 2.78/0.66 % (2894182)------------------------------
% 2.78/0.66 % (2894182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894182)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894182)Termination reason: Instruction limit
% 2.78/0.66 % (2894182)Termination phase: Finite model building SAT solving
% 2.78/0.66 % (2894182)Time elapsed: 0.178 s
% 2.78/0.66 % (2894182)Peak memory usage: 35 MB
% 2.78/0.66 % (2894182)Instructions burned: 869 (million)
% 2.78/0.66 % (2894184) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2894153-2894184"...
% 2.78/0.66 % (2894186)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4152499598:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.78/0.66 % (2894184)...printing done.
% 2.78/0.66 % (2894184)Refutation found. Thanks to Tanya!
% 2.78/0.66 % SZS status Theorem for theBenchmark
% 2.78/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/0.66 % (2894184)------------------------------
% 2.78/0.66 % (2894184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.66 % (2894184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.66 % (2894184)CaDiCaL version: 2.1.3
% 2.78/0.66 % (2894184)Termination reason: Refutation
% 2.78/0.66 % (2894184)Time elapsed: 0.156 s
% 2.78/0.66 % (2894184)Peak memory usage: 15 MB
% 2.78/0.66 % (2894184)Instructions burned: 242 (million)
% 2.78/0.66 % (2894153)Success in time 0.426 s
% 2.78/0.66 % Vampire exiting
%------------------------------------------------------------------------------