%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM134+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:39:38 AM UTC 2026
% Result : Theorem 6.25s 1.75s
% Output : Refutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 21 unt; 1 def)
% Number of atoms : 214 ( 101 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 213 ( 70 ~; 78 |; 54 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 265 ( 209 !; 56 ?)
% 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/sandbox2/benchmark/theBenchmark.p','EQ-app') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-abs-app') ).
fof(f31,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( X0 = X5
& X1 = X6
& X2 = vapp(X4,X7) )
=> ( X3 = vsubst(X0,X1,X2)
=> X3 = vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst2) ).
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/sandbox2/benchmark/theBenchmark.p','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/sandbox2/benchmark/theBenchmark.p','T-inv') ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),ve1,X4) )
=> vtcheck(X1,vsubst(X2,X3,ve1),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-IH-app1') ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),ve2,X4) )
=> vtcheck(X1,vsubst(X2,X3,ve2),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-IH-app2') ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4) )
=> vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-app') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4) )
=> vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f64,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(f73,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),ve1,X4) ),
inference(ennf_transformation,[],[f58]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),ve1,X4) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),ve2,X4) ),
inference(ennf_transformation,[],[f59]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(vbind(X2,X0,X1),ve2,X4) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4) ),
inference(ennf_transformation,[],[f61]) ).
fof(f78,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4)
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4) ),
inference(flattening,[],[f77]) ).
fof(f90,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,[],[f64]) ).
fof(f91,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,[],[f90]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X3 = vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7))
| vsubst(X0,X1,X2) != X3
| X0 != X5
| X1 != X6
| vapp(X4,X7) != X2 ),
inference(ennf_transformation,[],[f31]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X3 = vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7))
| vsubst(X0,X1,X2) != X3
| X0 != X5
| X1 != X6
| vapp(X4,X7) != X2 ),
inference(flattening,[],[f112]) ).
fof(f118,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(f119,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,[],[f118]) ).
fof(f127,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(f128,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f127]) ).
fof(f134,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP1(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f135,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) )
| sP1(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f91,f134]) ).
fof(f142,plain,
( ~ vtcheck(sK8,vsubst(sK9,sK10,vapp(ve1,ve2)),sK11)
& vtcheck(sK8,sK10,sK7)
& vtcheck(vbind(sK9,sK7,sK8),vapp(ve1,ve2),sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10),skolemize(X4,sK11)],[f78]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP1(X0,X1,X2) ),
inference(nnf_transformation,[],[f134]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( vapp(sK21(X0,X1,X2),sK22(X0,X1,X2)) = X0
& vtcheck(X2,sK21(X0,X1,X2),varrow(sK23(X0,X1,X2),X1))
& vtcheck(X2,sK22(X0,X1,X2),sK23(X0,X1,X2)) )
| ~ sP1(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X3,sK21(X0,X1,X2)),skolemize(X4,sK22(X0,X1,X2)),skolemize(X5,sK23(X0,X1,X2))],[f148]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( vvar(sK24(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK24(X0,X1,X2),X2) )
| ( vabs(sK25(X0,X1,X2),sK27(X0,X1,X2),sK26(X0,X1,X2)) = X0
& varrow(sK27(X0,X1,X2),sK28(X0,X1,X2)) = X1
& vtcheck(vbind(sK25(X0,X1,X2),sK27(X0,X1,X2),X2),sK26(X0,X1,X2),sK28(X0,X1,X2)) )
| sP1(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28]),skolemize(X3,sK24(X0,X1,X2)),skolemize(X4,sK25(X0,X1,X2)),skolemize(X5,sK26(X0,X1,X2)),skolemize(X6,sK27(X0,X1,X2)),skolemize(X7,sK28(X0,X1,X2))],[f135]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X2,X0,X1),ve1,X4)
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vsubst(X2,X3,ve1),X4) ),
inference(cnf_transformation,[],[f74]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X2,X0,X1),ve2,X4)
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vsubst(X2,X3,ve2),X4) ),
inference(cnf_transformation,[],[f76]) ).
fof(f172,plain,
vtcheck(vbind(sK9,sK7,sK8),vapp(ve1,ve2),sK11),
inference(cnf_transformation,[],[f142]) ).
fof(f173,plain,
vtcheck(sK8,sK10,sK7),
inference(cnf_transformation,[],[f142]) ).
fof(f174,plain,
~ vtcheck(sK8,vsubst(sK9,sK10,vapp(ve1,ve2)),sK11),
inference(cnf_transformation,[],[f142]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vtcheck(X2,sK22(X0,X1,X2),sK23(X0,X1,X2)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vtcheck(X2,sK21(X0,X1,X2),varrow(sK23(X0,X1,X2),X1)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vapp(sK21(X0,X1,X2),sK22(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f149]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK25(X0,X1,X2),sK27(X0,X1,X2),sK26(X0,X1,X2)) = X0
| sP1(X0,X1,X2)
| vvar(sK24(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = X3
| vsubst(X0,X1,X2) != X3
| X0 != X5
| X1 != X6
| vapp(X4,X7) != X2 ),
inference(cnf_transformation,[],[f113]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f119]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f270,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f278,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,[],[f128]) ).
fof(f347,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( vsubst(X0,X1,X2) = vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7))
| X0 != X5
| X1 != X6
| vapp(X4,X7) != X2 ),
inference(equality_resolution,[],[f257]) ).
fof(f348,plain,
! [X2,X1,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X5,X1,X2)
| X1 != X6
| vapp(X4,X7) != X2 ),
inference(equality_resolution,[],[f347]) ).
fof(f349,plain,
! [X2,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X5,X6,X2)
| vapp(X4,X7) != X2 ),
inference(equality_resolution,[],[f348]) ).
fof(f350,plain,
! [X6,X7,X4,X5] : vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X5,X6,vapp(X4,X7)),
inference(equality_resolution,[],[f349]) ).
fof(f387,plain,
( vapp(ve1,ve2) = vabs(sK25(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK27(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK26(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)))
| sP1(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))
| vapp(ve1,ve2) = vvar(sK24(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))) ),
inference(resolution,[],[f209,f172]) ).
fof(f400,plain,
( sP1(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))
| vapp(ve1,ve2) = vvar(sK24(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))) ),
inference(forward_subsumption_resolution,[],[f387,f260]) ).
fof(f401,plain,
sP1(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),
inference(forward_subsumption_resolution,[],[f400,f270]) ).
fof(f467,plain,
vapp(ve1,ve2) = vapp(sK21(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK22(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))),
inference(resolution,[],[f203,f401]) ).
fof(f470,plain,
! [X0,X1] :
( vapp(X0,X1) != vapp(ve1,ve2)
| sK22(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)) = X1 ),
inference(superposition,[],[f262,f467]) ).
fof(f472,plain,
! [X0,X1] :
( vapp(X0,X1) != vapp(ve1,ve2)
| sK21(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)) = X0 ),
inference(superposition,[],[f263,f467]) ).
fof(f480,plain,
ve2 = sK22(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),
inference(equality_resolution,[],[f470]) ).
fof(f484,plain,
ve1 = sK21(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),
inference(equality_resolution,[],[f472]) ).
fof(f502,plain,
vtcheck(vbind(sK9,sK7,sK8),sK21(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),varrow(sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK11)),
inference(resolution,[],[f202,f401]) ).
fof(f503,plain,
vtcheck(vbind(sK9,sK7,sK8),ve1,varrow(sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK11)),
inference(forward_demodulation,[],[f502,f484]) ).
fof(f504,plain,
! [X0] :
( ~ vtcheck(sK8,X0,sK7)
| vtcheck(sK8,vsubst(sK9,X0,ve1),varrow(sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK11)) ),
inference(resolution,[],[f503,f170]) ).
fof(f530,plain,
vtcheck(sK8,vsubst(sK9,sK10,ve1),varrow(sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK11)),
inference(resolution,[],[f504,f173]) ).
fof(f531,plain,
! [X0] :
( ~ vtcheck(sK8,X0,sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)))
| vtcheck(sK8,vapp(vsubst(sK9,sK10,ve1),X0),sK11) ),
inference(resolution,[],[f530,f278]) ).
fof(f672,plain,
vtcheck(vbind(sK9,sK7,sK8),sK22(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8)),sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))),
inference(resolution,[],[f201,f401]) ).
fof(f674,plain,
vtcheck(vbind(sK9,sK7,sK8),ve2,sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))),
inference(forward_demodulation,[],[f672,f480]) ).
fof(f677,plain,
! [X0] :
( ~ vtcheck(sK8,X0,sK7)
| vtcheck(sK8,vsubst(sK9,X0,ve2),sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))) ),
inference(resolution,[],[f674,f171]) ).
fof(f708,plain,
vtcheck(sK8,vsubst(sK9,sK10,ve2),sK23(vapp(ve1,ve2),sK11,vbind(sK9,sK7,sK8))),
inference(resolution,[],[f677,f173]) ).
fof(f709,plain,
vtcheck(sK8,vapp(vsubst(sK9,sK10,ve1),vsubst(sK9,sK10,ve2)),sK11),
inference(resolution,[],[f708,f531]) ).
fof(f734,plain,
vtcheck(sK8,vsubst(sK9,sK10,vapp(ve1,ve2)),sK11),
inference(forward_demodulation,[],[f709,f350]) ).
fof(f735,plain,
$false,
inference(forward_subsumption_resolution,[],[f734,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM134+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.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 21:55:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.25/1.75 % (2401536)Detected formulas, will run a generic FOF schedule.
% 6.25/1.75 % (2401678)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1876127761:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.25/1.75 % (2401677)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=1358913946:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.25/1.75 % (2401680)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=788570104:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.25/1.75 % (2401683)dis-21_1_sil=8000:lcm=predicate:random_seed=421367103:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.25/1.75 % (2401679)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2941823564:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.25/1.75 % (2401681)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1710314088:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.25/1.75 % (2401682)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=21090260:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.25/1.75 % (2401680)Refutation not found, incomplete strategy
% 6.25/1.75 % (2401680)------------------------------
% 6.25/1.75 % (2401680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401680)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401680)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.75 % (2401680)Time elapsed: 0.003 s
% 6.25/1.75 % (2401680)Peak memory usage: 88 MB
% 6.25/1.75 % (2401680)Instructions burned: 1 (million)
% 6.25/1.75 % (2401683)Instruction limit reached!
% 6.25/1.75 % (2401683)------------------------------
% 6.25/1.75 % (2401683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401683)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401683)Termination reason: Instruction limit
% 6.25/1.75 % (2401683)Termination phase: Saturation
% 6.25/1.75 % (2401683)Time elapsed: 0.097 s
% 6.25/1.75 % (2401683)Peak memory usage: 89 MB
% 6.25/1.75 % (2401683)Instructions burned: 129 (million)
% 6.25/1.75 % (2401681)Instruction limit reached!
% 6.25/1.75 % (2401681)------------------------------
% 6.25/1.75 % (2401681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401681)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401681)Termination reason: Instruction limit
% 6.25/1.75 % (2401681)Termination phase: Saturation
% 6.25/1.75 % (2401681)Time elapsed: 0.111 s
% 6.25/1.75 % (2401681)Peak memory usage: 88 MB
% 6.25/1.75 % (2401681)Instructions burned: 119 (million)
% 6.25/1.75 % (2401682)Instruction limit reached!
% 6.25/1.75 % (2401682)------------------------------
% 6.25/1.75 % (2401682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401682)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401682)Termination reason: Instruction limit
% 6.25/1.75 % (2401682)Termination phase: Saturation
% 6.25/1.75 % (2401682)Time elapsed: 0.164 s
% 6.25/1.75 % (2401682)Peak memory usage: 89 MB
% 6.25/1.75 % (2401682)Instructions burned: 139 (million)
% 6.25/1.75 % (2401699)lrs+10_1_sil=8000:sp=occurrence:random_seed=3195738501:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.25/1.75 % (2401680)------------------------------
% 6.25/1.75 % (2401680)------------------------------
% 6.25/1.75 % (2401700)lrs+10_1_sil=32000:urr=on:br=off:random_seed=890547842:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.25/1.75 % (2401702)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4204618443:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.25/1.75 % (2401678)First to succeed.
% 6.25/1.75 % (2401678)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2401536"
% 6.25/1.75 % (2401700)Instruction limit reached!
% 6.25/1.75 % (2401700)------------------------------
% 6.25/1.75 % (2401700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401700)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401700)Termination reason: Instruction limit
% 6.25/1.75 % (2401700)Termination phase: Saturation
% 6.25/1.75 % (2401700)Time elapsed: 0.148 s
% 6.25/1.75 % (2401700)Peak memory usage: 90 MB
% 6.25/1.75 % (2401700)Instructions burned: 157 (million)
% 6.25/1.75 % (2401699)Instruction limit reached!
% 6.25/1.75 % (2401699)------------------------------
% 6.25/1.75 % (2401699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401699)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401699)Termination reason: Instruction limit
% 6.25/1.75 % (2401699)Termination phase: Saturation
% 6.25/1.75 % (2401699)Time elapsed: 0.256 s
% 6.25/1.75 % (2401699)Peak memory usage: 90 MB
% 6.25/1.75 % (2401699)Instructions burned: 285 (million)
% 6.25/1.75 % (2401707)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3902815319:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.25/1.75 % (2401702)Instruction limit reached!
% 6.25/1.75 % (2401702)------------------------------
% 6.25/1.75 % (2401702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.75 % (2401702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.75 % (2401702)CaDiCaL version: 2.1.3
% 6.25/1.75 % (2401702)Termination reason: Instruction limit
% 6.25/1.75 % (2401702)Termination phase: Saturation
% 6.25/1.75 % (2401702)Time elapsed: 0.331 s
% 6.25/1.75 % (2401702)Peak memory usage: 91 MB
% 6.25/1.75 % (2401702)Instructions burned: 326 (million)
% 6.25/1.75 % (2401678)Refutation found. Thanks to Tanya!
% 6.25/1.75 % SZS status Theorem for theBenchmark
% 6.25/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.01/2.08 % (2401678)------------------------------
% 8.01/2.08 % (2401678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.01/2.08 % (2401678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/2.08 % (2401678)CaDiCaL version: 2.1.3
% 8.01/2.08 % (2401678)Termination reason: Refutation
% 8.01/2.08 % (2401678)Time elapsed: 0.601 s
% 8.01/2.08 % (2401678)Peak memory usage: 131 MB
% 8.01/2.08 % (2401678)Instructions burned: 1037 (million)
% 8.01/2.08 % (2401678)------------------------------
% 8.01/2.08 % (2401678)------------------------------
% 8.01/2.08 % (2401536)Success in time 1.021 s
% 8.01/2.08 % Vampire exiting
%------------------------------------------------------------------------------