%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 01:04:29 PM UTC 2026
% Result : Theorem 24.50s 19.70s
% Output : CNFRefutation 24.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 25 unt; 1 def)
% Number of atoms : 245 ( 135 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 241 ( 81 ~; 102 |; 47 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 240 ( 0 sgn 184 !; 56 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X1 = vvar(X2)
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X3 = vbind(X1,X0,X6)
& X2 = X5 )
=> ( X5 != X1
=> ( X4 = vlookup(X2,X3)
=> X4 = vlookup(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( vlookup(X1,X0) = vsomeType(X2)
=> vtcheck(X0,vvar(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X7,X4,X8] :
( vtcheck(X2,X4,X8)
& vtcheck(X2,X7,varrow(X8,X1))
& X0 = vapp(X7,X4) )
| ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X2),X4,X6)
& X1 = varrow(X5,X6)
& X0 = vabs(X3,X5,X4) )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f56,conjecture,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> vtcheck(X2,vvar(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-var') ).
fof(f57,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> vtcheck(X2,vvar(X3),X4) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f64,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ) ),
inference(rectify,[],[f54]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( vvar(X2) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| X2 = X3 )
& ( X2 != X3
| visFreeVar(X0,X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( vvar(X2) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| X2 = X3 )
& ( X2 != X3
| visFreeVar(X0,X1) ) ) ),
inference(flattening,[],[f73]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| X4 = vlookup(X5,X6) ),
inference(ennf_transformation,[],[f24]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| X4 = vlookup(X5,X6) ),
inference(flattening,[],[f90]) ).
fof(f136,plain,
! [X0,X1,X2] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(flattening,[],[f140]) ).
fof(f144,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& ~ vtcheck(X2,vvar(X3),X4) ),
inference(ennf_transformation,[],[f57]) ).
fof(f145,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& ~ vtcheck(X2,vvar(X3),X4) ),
inference(flattening,[],[f144]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| ( vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2))
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0 )
| ( vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2)
& vvar(sK82(X0,X1,X2)) = X0 ) ),
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))],[f162]) ).
fof(f208,plain,
( vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91)
& ~ visFreeVar(sK87,vvar(sK90))
& ~ vtcheck(sK89,vvar(sK90),sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91)],[f145]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( vvar(X2) != X1
| X0 != X3
| ~ visFreeVar(X0,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( vvar(X2) != X1
| X0 != X3
| X2 != X3
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| vlookup(X5,X6) = X4 ),
inference(cnf_transformation,[],[f91]) ).
fof(f345,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f352,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f207]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f207]) ).
fof(f358,plain,
vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f208]) ).
fof(f359,plain,
~ visFreeVar(sK87,vvar(sK90)),
inference(cnf_transformation,[],[f208]) ).
fof(f360,plain,
~ vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f208]) ).
fof(f370,plain,
! [X3,X0,X1] :
( vvar(X3) != X1
| X0 != X3
| visFreeVar(X0,X1) ),
inference(equality_resolution,[],[f225]) ).
fof(f371,plain,
! [X3,X1] :
( vvar(X3) != X1
| visFreeVar(X3,X1) ),
inference(equality_resolution,[],[f370]) ).
fof(f372,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f371]) ).
fof(f373,plain,
! [X2,X3,X1] :
( vvar(X2) != X1
| ~ visFreeVar(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f224]) ).
fof(f374,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f373]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X6,X5] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) = vlookup(X5,X6) ),
inference(equality_resolution,[],[f247]) ).
fof(f404,plain,
! [X3,X0,X1,X6,X5] :
( vbind(X1,X0,X6) != X3
| X1 = X5
| vlookup(X5,X6) = vlookup(X5,X3) ),
inference(equality_resolution,[],[f403]) ).
fof(f405,plain,
! [X0,X1,X6,X5] :
( X1 = X5
| vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6)) ),
inference(equality_resolution,[],[f404]) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : vabs(X0,X1,X2) != vvar(X3),
inference(cnf_transformation,[],[f218]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f219]) ).
tcf(c_61,plain,
! [X0: $i] : visFreeVar(X0,vvar(X0)),
inference(cnf_transformation,[],[f372]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ visFreeVar(X0,vvar(X1)) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3) ) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( vtcheck(X1,vvar(X0),X2)
| ( vlookup(X0,X1) != vsomeType(X2) ) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vvar(sK82(X1,X2,X0)) = X1 )
| ( vabs(sK83(X1,X2,X0),sK85(X1,X2,X0),sK84(X1,X2,X0)) = X1 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vvar(sK82(X1,X2,X0)) = X1 )
| ( varrow(sK85(X1,X2,X0),sK86(X1,X2,X0)) = X2 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vlookup(sK82(X1,X2,X0),X0) = vsomeType(X2) )
| ( vabs(sK83(X1,X2,X0),sK85(X1,X2,X0),sK84(X1,X2,X0)) = X1 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vlookup(sK82(X1,X2,X0),X0) = vsomeType(X2) )
| ( varrow(sK85(X1,X2,X0),sK86(X1,X2,X0)) = X2 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_188,negated_conjecture,
~ vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f360]) ).
tcf(c_189,negated_conjecture,
~ visFreeVar(sK87,vvar(sK90)),
inference(cnf_transformation,[],[f359]) ).
tcf(c_190,negated_conjecture,
vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f358]) ).
tcf(c_1257,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ( vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90) )
| ( vabs(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90) )
| ~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_1258,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ( vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91) )
| ( vabs(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90) )
| ~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_1323,plain,
vabs(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) != vvar(sK90),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_7955,plain,
vapp(sK79(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK80(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) != vvar(sK90),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_9396,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ( vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90) )
| ( varrow(sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = sK91 ) ),
inference(superposition,[status(thm)],[c_190,c_182]) ).
tcf(c_9405,plain,
( sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89))
| ( vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91) )
| ( varrow(sK85(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = sK91 ) ),
inference(superposition,[status(thm)],[c_190,c_185]) ).
tcf(c_10587,plain,
( vtcheck(sK89,vvar(sK90),sK91)
| ( vlookup(sK90,sK89) != vsomeType(sK91) ) ),
inference(instantiation,[status(thm)],[c_175]) ).
fof(f161,definition,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(definition_folding,[],[f141,f161]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 ) ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ( vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2))
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ) ),
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))],[f205]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 )
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_5800,plain,
( ( vapp(sK79(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK80(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90) )
| ~ sP12(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_9463,plain,
vvar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90),
inference(global_subsumption_just,[status(thm)],[c_9396,c_190,c_1257,c_1323,c_5800,c_7955]) ).
tcf(c_9482,plain,
visFreeVar(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vvar(sK90)),
inference(superposition,[status(thm)],[c_9463,c_61]) ).
tcf(c_9530,plain,
vlookup(sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(global_subsumption_just,[status(thm)],[c_9405,c_190,c_1258,c_1323,c_5800,c_7955]) ).
tcf(c_9599,plain,
sK82(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) = sK90,
inference(superposition,[status(thm)],[c_9482,c_62]) ).
tcf(c_10748,plain,
visFreeVar(sK90,vvar(sK90)),
inference(superposition,[status(thm)],[c_9599,c_9482]) ).
tcf(c_10749,plain,
vlookup(sK90,vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(superposition,[status(thm)],[c_9599,c_9530]) ).
tcf(c_10964,plain,
( ( sK90 = sK87 )
| ( vlookup(sK90,sK89) = vsomeType(sK91) ) ),
inference(superposition,[status(thm)],[c_80,c_10749]) ).
tcf(c_11397,plain,
sK90 = sK87,
inference(global_subsumption_just,[status(thm)],[c_10964,c_188,c_10587,c_10964]) ).
tcf(c_11429,plain,
~ visFreeVar(sK90,vvar(sK90)),
inference(superposition,[status(thm)],[c_11397,c_189]) ).
tcf(c_11430,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11429,c_10748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.59 % Computer : n013.cluster.edu
% 0.12/15.59 % Model : x86_64 x86_64
% 0.12/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.59 % Memory : 8046.5625MB
% 0.12/15.59 % OS : Linux 6.8.0-71-generic
% 0.12/15.59 % CPULimit : 300
% 0.12/15.59 % WCLimit : 300
% 0.12/15.59 % DateTime : Fri Sep 25 07:55:11 UTC 2026
% 0.15/15.60 % CPUTime :
% 0.15/15.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/15.66 Running first-order theorem proving
% 0.15/15.66 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.68
% 0.15/15.68 % ======== iProver multi-core TPTP/SMT =========
% 0.15/15.68
% 0.15/15.68 % Detected problem language: tptp
% 0.15/15.70 % Proving...
% 24.50/19.70 % SZS status Started for theBenchmark.p
% 24.50/19.70 % SZS status Theorem for theBenchmark.p
% 24.50/19.70
% 24.50/19.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.50/19.70
% 24.50/19.70 % ------ iProver source info
% 24.50/19.70
% 24.50/19.70 % git: date: 2026-07-19 20:42:38 +0200
% 24.50/19.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.50/19.70 % git: non_committed_changes: false
% 24.50/19.70
% 24.50/19.70 % ------ Parsing...
% 24.50/19.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.50/19.70
% 24.50/19.70 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 24.50/19.70
% 24.50/19.70 % ------ Preprocessing...%
% 24.50/19.70
% 24.50/19.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.50/19.70 % ------ Proving...
% 24.50/19.70 % ------ Problem Properties
% 24.50/19.70
% 24.50/19.70 %
% 24.50/19.70 % clauses 140
% 24.50/19.70 % conjectures 26
% 24.50/19.70 % EPR 4
% 24.50/19.70 % Horn 114
% 24.50/19.70 % unary 28
% 24.50/19.70 % binary 86
% 24.50/19.70 % lits 303
% 24.50/19.70 % lits eq 133
% 24.50/19.70 % fd_pure 0
% 24.50/19.70 % fd_pseudo 0
% 24.50/19.70 % fd_cond 3
% 24.50/19.70 % fd_pseudo_cond 20
% 24.50/19.70 % AC symbols 0
% 24.50/19.70
% 24.50/19.70 % ------ Input Options Time Limit: Unbounded
% 24.50/19.70
% 24.50/19.70
% 24.50/19.70 % ------
% 24.50/19.70 % Current options:
% 24.50/19.70 % ------
% 24.50/19.70
% 24.50/19.70
% 24.50/19.70 %
% 24.50/19.70
% 24.50/19.70 % ------ Proving...
% 24.50/19.70 %
% 24.50/19.70
% 24.50/19.70 % SZS status Theorem for theBenchmark.p
% 24.50/19.70
% 24.50/19.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.50/19.70
% 24.50/19.70
%------------------------------------------------------------------------------