%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM135+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 : 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 : Fri Sep 25 01:04:29 PM UTC 2026
% Result : Theorem 66.67s 11.32s
% Output : CNFRefutation 66.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of formulae : 177 ( 53 unt; 4 def)
% Number of atoms : 747 ( 315 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 454 ( 156 ~; 218 |; 55 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 489 ( 0 sgn 431 !; 58 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( X0 = X1
=> vvar(X0) = vvar(X1) )
& ( vvar(X0) = vvar(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
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(f7,axiom,
! [X0,X1,X2,X3] :
( X3 = vabs(X0,X1,X2)
=> visValue(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof(f8,axiom,
! [X0,X1] :
( X1 = vvar(X0)
=> ~ visValue(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue1) ).
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(f21,axiom,
! [X0,X1,X2] :
( X0 = vsomeType(X2)
=> ( X1 = vgetSomeType(X0)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X4 = vbind(X2,X6,X0)
& X3 = X1 )
=> ( X1 = X2
=> ( X5 = vlookup(X3,X4)
=> X5 = vsomeType(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
& X2 = X0 )
=> vtcheck(vbind(X2,X3,X4),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X4 = vvar(X1)
& X3 = X6
& X2 = X0 )
=> ( X0 = X1
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X4 = vvar(X6)
& X3 = X0
& X2 = X1 )
=> ( X1 != X6
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = vvar(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(f52,axiom,
! [X0,X1,X2,X3,X4] :
( vtcheck(vbind(X1,X3,X0),X2,X4)
=> vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).
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,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),X3,X4)
& ~ visFreeVar(X0,X3) )
=> vtcheck(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof(f58,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-var') ).
fof(f59,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f66,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(f67,plain,
! [X0,X1] :
( ( X0 != X1
| vvar(X0) = vvar(X1) )
& ( vvar(X0) != vvar(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( vabs(X0,X1,X2) != X3
| visValue(X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f73,plain,
! [X0,X1] :
( vvar(X0) != X1
| ~ visValue(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f75,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(f76,plain,
! [X0,X1,X2,X3] :
( vvar(X2) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| X2 = X3 )
& ( X2 != X3
| visFreeVar(X0,X1) ) ) ),
inference(flattening,[],[f75]) ).
fof(f86,plain,
! [X0,X1,X2] :
( vsomeType(X2) != X0
| vgetSomeType(X0) != X1
| X1 = X2 ),
inference(ennf_transformation,[],[f21]) ).
fof(f87,plain,
! [X0,X1,X2] :
( vsomeType(X2) != X0
| vgetSomeType(X0) != X1
| X1 = X2 ),
inference(flattening,[],[f86]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X2,X6,X0) != X4
| X1 != X3
| X1 != X2
| vlookup(X3,X4) != X5
| X5 = vsomeType(X6) ),
inference(ennf_transformation,[],[f23]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X2,X6,X0) != X4
| X1 != X3
| X1 != X2
| vlookup(X3,X4) != X5
| X5 = vsomeType(X6) ),
inference(flattening,[],[f90]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
| X0 != X2
| vtcheck(vbind(X2,X3,X4),X5,X6) ),
inference(ennf_transformation,[],[f26]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
| X0 != X2
| vtcheck(vbind(X2,X3,X4),X5,X6) ),
inference(flattening,[],[f96]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X1) != X4
| X3 != X6
| X0 != X2
| X0 != X1
| vsubst(X2,X3,X4) != X5
| X5 = X6 ),
inference(ennf_transformation,[],[f29]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X1) != X4
| X3 != X6
| X0 != X2
| X0 != X1
| vsubst(X2,X3,X4) != X5
| X5 = X6 ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X6) != X4
| X0 != X3
| X1 != X2
| X1 = X6
| vsubst(X2,X3,X4) != X5
| X5 = vvar(X6) ),
inference(ennf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X6) != X4
| X0 != X3
| X1 != X2
| X1 = X6
| vsubst(X2,X3,X4) != X5
| X5 = vvar(X6) ),
inference(flattening,[],[f103]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X1,X3,X0),X2,X4)
| vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f142,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,[],[f66]) ).
fof(f143,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,[],[f142]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| vtcheck(X2,X3,X4) ),
inference(ennf_transformation,[],[f56]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| vtcheck(X2,X3,X4) ),
inference(flattening,[],[f146]) ).
fof(f150,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0)
& ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f151,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0)
& ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
inference(flattening,[],[f150]) ).
fof(f213,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))],[f168]) ).
fof(f214,plain,
( vtcheck(vbind(sK89,sK87,sK88),vvar(sK91),sK92)
& vtcheck(sK88,sK90,sK87)
& ~ vtcheck(sK88,vsubst(sK89,sK90,vvar(sK91)),sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f151]) ).
fof(f216,plain,
! [X0,X1] :
( vvar(X0) != vvar(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f224,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( vabs(X0,X1,X2) != X3
| visValue(X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f228,plain,
! [X0,X1] :
( vvar(X0) != X1
| ~ visValue(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( vvar(X2) != X1
| X0 != X3
| ~ visFreeVar(X0,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f76]) ).
fof(f250,plain,
! [X2,X0,X1] :
( vsomeType(X2) != X0
| vgetSomeType(X0) != X1
| X1 = X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vbind(X2,X6,X0) != X4
| X1 != X3
| X1 != X2
| vlookup(X3,X4) != X5
| vsomeType(X6) = X5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f265,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)
| X0 != X2
| vtcheck(vbind(X2,X3,X4),X5,X6) ),
inference(cnf_transformation,[],[f97]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vvar(X1) != X4
| X3 != X6
| X0 != X2
| X0 != X1
| vsubst(X2,X3,X4) != X5
| X5 = X6 ),
inference(cnf_transformation,[],[f102]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vvar(X6) != X4
| X0 != X3
| X1 != X2
| X1 = X6
| vsubst(X2,X3,X4) != X5
| vvar(X6) = X5 ),
inference(cnf_transformation,[],[f104]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X1,X3,X0),X2,X4)
| vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f358,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,[],[f213]) ).
fof(f359,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,[],[f213]) ).
fof(f361,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,[],[f213]) ).
fof(f362,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,[],[f213]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| vtcheck(X2,X3,X4) ),
inference(cnf_transformation,[],[f147]) ).
fof(f366,plain,
vtcheck(vbind(sK89,sK87,sK88),vvar(sK91),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f367,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f214]) ).
fof(f368,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vvar(sK91)),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f375,plain,
! [X2,X0,X1] : visValue(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f227]) ).
fof(f376,plain,
! [X0] : ~ visValue(vvar(X0)),
inference(equality_resolution,[],[f228]) ).
fof(f381,plain,
! [X2,X3,X1] :
( vvar(X2) != X1
| ~ visFreeVar(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f230]) ).
fof(f382,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f381]) ).
fof(f402,plain,
! [X2,X0] :
( vsomeType(X2) != X0
| vgetSomeType(X0) = X2 ),
inference(equality_resolution,[],[f250]) ).
fof(f403,plain,
! [X2] : vgetSomeType(vsomeType(X2)) = X2,
inference(equality_resolution,[],[f402]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X6,X4] :
( vbind(X2,X6,X0) != X4
| X1 != X3
| X1 != X2
| vlookup(X3,X4) = vsomeType(X6) ),
inference(equality_resolution,[],[f252]) ).
fof(f408,plain,
! [X2,X3,X0,X6,X4] :
( vbind(X2,X6,X0) != X4
| X2 != X3
| vlookup(X3,X4) = vsomeType(X6) ),
inference(equality_resolution,[],[f407]) ).
fof(f409,plain,
! [X3,X0,X6,X4] :
( vbind(X3,X6,X0) != X4
| vlookup(X3,X4) = vsomeType(X6) ),
inference(equality_resolution,[],[f408]) ).
fof(f410,plain,
! [X3,X0,X6] : vsomeType(X6) = vlookup(X3,vbind(X3,X6,X0)),
inference(equality_resolution,[],[f409]) ).
fof(f417,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X2,X3,vbind(X2,X1,X4)),X5,X6)
| vtcheck(vbind(X2,X3,X4),X5,X6) ),
inference(equality_resolution,[],[f265]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X6,X4] :
( vvar(X1) != X4
| X3 != X6
| X0 != X2
| X0 != X1
| vsubst(X2,X3,X4) = X6 ),
inference(equality_resolution,[],[f268]) ).
fof(f420,plain,
! [X2,X3,X1,X6,X4] :
( vvar(X1) != X4
| X3 != X6
| X1 != X2
| vsubst(X2,X3,X4) = X6 ),
inference(equality_resolution,[],[f419]) ).
fof(f421,plain,
! [X2,X3,X6,X4] :
( vvar(X2) != X4
| X3 != X6
| vsubst(X2,X3,X4) = X6 ),
inference(equality_resolution,[],[f420]) ).
fof(f422,plain,
! [X2,X6,X4] :
( vvar(X2) != X4
| vsubst(X2,X6,X4) = X6 ),
inference(equality_resolution,[],[f421]) ).
fof(f423,plain,
! [X2,X6] : vsubst(X2,X6,vvar(X2)) = X6,
inference(equality_resolution,[],[f422]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X6,X4] :
( vvar(X6) != X4
| X0 != X3
| X1 != X2
| X1 = X6
| vsubst(X2,X3,X4) = vvar(X6) ),
inference(equality_resolution,[],[f269]) ).
fof(f425,plain,
! [X2,X3,X0,X6,X4] :
( vvar(X6) != X4
| X0 != X3
| X2 = X6
| vsubst(X2,X3,X4) = vvar(X6) ),
inference(equality_resolution,[],[f424]) ).
fof(f426,plain,
! [X2,X3,X6,X4] :
( vvar(X6) != X4
| X2 = X6
| vsubst(X2,X3,X4) = vvar(X6) ),
inference(equality_resolution,[],[f425]) ).
fof(f427,plain,
! [X2,X3,X6] :
( X2 = X6
| vvar(X6) = vsubst(X2,X3,vvar(X6)) ),
inference(equality_resolution,[],[f426]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( vvar(X0) != vvar(X1) ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : vabs(X0,X1,X2) != vvar(X3),
inference(cnf_transformation,[],[f224]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f225]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : visValue(vabs(X0,X1,X2)),
inference(cnf_transformation,[],[f375]) ).
tcf(c_59,plain,
! [X0: $i] : ~ visValue(vvar(X0)),
inference(cnf_transformation,[],[f376]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ visFreeVar(X0,vvar(X1)) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_77,plain,
! [X0: $i] : vgetSomeType(vsomeType(X0)) = X0,
inference(cnf_transformation,[],[f403]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : vlookup(X0,vbind(X0,X1,X2)) = vsomeType(X1),
inference(cnf_transformation,[],[f410]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( vtcheck(vbind(X0,X1,X3),X4,X5)
| ~ vtcheck(vbind(X0,X1,vbind(X0,X2,X3)),X4,X5) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : vsubst(X0,X1,vvar(X0)) = X1,
inference(cnf_transformation,[],[f423]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( vsubst(X0,X1,vvar(X2)) = vvar(X2) ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( vtcheck(X2,vabs(X0,X1,X3),varrow(X1,X4))
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(cnf_transformation,[],[f352]) ).
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,[],[f362]) ).
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,[],[f361]) ).
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,[],[f359]) ).
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,[],[f358]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( visFreeVar(X0,X3)
| vtcheck(X2,X3,X4)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_190,negated_conjecture,
~ vtcheck(sK88,vsubst(sK89,sK90,vvar(sK91)),sK92),
inference(cnf_transformation,[],[f368]) ).
tcf(c_191,negated_conjecture,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f367]) ).
tcf(c_192,negated_conjecture,
vtcheck(vbind(sK89,sK87,sK88),vvar(sK91),sK92),
inference(cnf_transformation,[],[f366]) ).
tcf(c_13222,definition,
iPr_def_10 = vbind(sK89,sK87,sK88),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_13223,definition,
iPr_def_11 = vvar(sK91),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_13224,definition,
iPr_def_12 = vsubst(sK89,sK90,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_13225,negated_conjecture,
vtcheck(iPr_def_10,iPr_def_11,sK92),
inference(demodulation,[status(thm)],[c_192,c_13223,c_13222]) ).
tcf(c_13226,negated_conjecture,
vtcheck(sK88,sK90,sK87),
inference(demodulation,[status(thm)],[c_191]) ).
tcf(c_13227,negated_conjecture,
~ vtcheck(sK88,iPr_def_12,sK92),
inference(demodulation,[status(thm)],[c_190,c_13224]) ).
tcf(c_16273,plain,
~ visValue(iPr_def_11),
inference(superposition,[status(thm)],[c_13223,c_59]) ).
tcf(c_16274,plain,
! [X0: $i] :
( ( X0 = sK91 )
| ( vvar(X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13223,c_49]) ).
tcf(c_16280,plain,
! [X0: $i] : vsubst(sK91,X0,iPr_def_11) = X0,
inference(superposition,[status(thm)],[c_13223,c_95]) ).
tcf(c_16307,plain,
! [X0: $i] :
( ( X0 = sK91 )
| ~ visFreeVar(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13223,c_62]) ).
tcf(c_16375,plain,
vlookup(sK89,iPr_def_10) = vsomeType(sK87),
inference(superposition,[status(thm)],[c_13222,c_79]) ).
tcf(c_16470,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK91 )
| ( vsubst(X0,X1,iPr_def_11) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13223,c_96]) ).
tcf(c_16503,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( sK89 = sK91 ) ),
inference(superposition,[status(thm)],[c_16470,c_13224]) ).
tcf(c_16511,plain,
! [X0: $i] :
( ( iPr_def_11 = iPr_def_12 )
| ( vsubst(sK89,X0,iPr_def_11) = X0 ) ),
inference(superposition,[status(thm)],[c_16503,c_16280]) ).
tcf(c_16557,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( sK90 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_16511,c_13224]) ).
tcf(c_16566,plain,
( vtcheck(sK88,iPr_def_12,sK87)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_16557,c_13226]) ).
tcf(c_20190,plain,
! [X0: $i,X1: $i] :
( visFreeVar(sK89,X0)
| vtcheck(sK88,X0,X1)
| ~ vtcheck(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_13222,c_188]) ).
tcf(c_20222,plain,
( visFreeVar(sK89,iPr_def_11)
| vtcheck(sK88,iPr_def_11,sK92) ),
inference(superposition,[status(thm)],[c_13225,c_20190]) ).
tcf(c_23606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( vtcheck(vbind(X2,X3,X5),vabs(X0,X1,X6),varrow(X1,X7))
| ~ vtcheck(vbind(X0,X1,vbind(X2,X3,vbind(X2,X4,X5))),X6,X7) ),
inference(superposition,[status(thm)],[c_176,c_92]) ).
tcf(c_24517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( vtcheck(vbind(sK89,X2,sK88),vabs(X0,X1,X3),varrow(X1,X4))
| ~ vtcheck(vbind(X0,X1,vbind(sK89,X2,iPr_def_10)),X3,X4) ),
inference(superposition,[status(thm)],[c_13222,c_23606]) ).
tcf(c_29137,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 ) ),
inference(superposition,[status(thm)],[c_13225,c_182]) ).
tcf(c_29389,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vabs(sK83(iPr_def_11,sK92,iPr_def_10),sK85(iPr_def_11,sK92,iPr_def_10),sK84(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13225,c_181]) ).
tcf(c_29794,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( vabs(sK83(iPr_def_11,sK92,iPr_def_10),sK85(iPr_def_11,sK92,iPr_def_10),sK84(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13225,c_184]) ).
tcf(c_68882,plain,
! [X0: $i] :
( ( X0 = sK91 )
| ( vvar(X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13223,c_49]) ).
tcf(c_78419,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 ) ),
inference(superposition,[status(thm)],[c_13225,c_182]) ).
tcf(c_85071,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 ) ),
inference(superposition,[status(thm)],[c_13225,c_185]) ).
fof(f167,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(f168,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,[],[f143,f167]) ).
fof(f210,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,[],[f167]) ).
fof(f211,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,[],[f210]) ).
fof(f212,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))],[f211]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f212]) ).
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,[],[f356]) ).
tcf(c_29528,plain,
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_29137,c_178]) ).
tcf(c_29709,plain,
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vabs(sK83(iPr_def_11,sK92,iPr_def_10),sK85(iPr_def_11,sK92,iPr_def_10),sK84(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_29389,c_178]) ).
tcf(c_30810,plain,
( ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vabs(sK83(iPr_def_11,sK92,iPr_def_10),sK85(iPr_def_11,sK92,iPr_def_10),sK84(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_29794,c_178]) ).
tcf(c_32439,plain,
! [X0: $i,X1: $i,X2: $i] :
( vtcheck(vbind(sK89,X1,sK88),vabs(X0,sK85(iPr_def_11,sK92,iPr_def_10),X2),sK92)
| ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ~ vtcheck(vbind(X0,sK85(iPr_def_11,sK92,iPr_def_10),vbind(sK89,X1,iPr_def_10)),X2,sK86(iPr_def_11,sK92,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_29528,c_24517]) ).
tcf(c_34079,plain,
( visValue(iPr_def_11)
| ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_29709,c_58]) ).
tcf(c_34092,plain,
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34079,c_16273]) ).
tcf(c_34398,plain,
( visValue(iPr_def_11)
| ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_30810,c_58]) ).
tcf(c_34411,plain,
( ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34398,c_16273]) ).
tcf(c_79872,plain,
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_78419,c_178]) ).
tcf(c_80930,plain,
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_79872,c_34092]) ).
tcf(c_80958,plain,
! [X0: $i] :
( ( vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 )
| ( vvar(X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_80930,c_56]) ).
tcf(c_88097,plain,
( ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( varrow(sK85(iPr_def_11,sK92,iPr_def_10),sK86(iPr_def_11,sK92,iPr_def_10)) = sK92 )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_85071,c_178]) ).
tcf(c_95387,plain,
( ( vlookup(sK82(iPr_def_11,sK92,iPr_def_10),iPr_def_10) = vsomeType(sK92) )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_88097,c_34411]) ).
tcf(c_101801,plain,
vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11,
inference(superposition,[status(thm)],[c_13223,c_80958]) ).
tcf(c_104180,plain,
sK82(iPr_def_11,sK92,iPr_def_10) = sK91,
inference(superposition,[status(thm)],[c_101801,c_68882]) ).
tcf(c_104197,plain,
! [X0: $i,X1: $i] : vapp(X0,X1) != iPr_def_11,
inference(superposition,[status(thm)],[c_101801,c_56]) ).
tcf(c_104216,plain,
( ( vlookup(sK91,iPr_def_10) = vsomeType(sK92) )
| ( vapp(sK79(iPr_def_11,sK92,iPr_def_10),sK80(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_95387,c_104180]) ).
tcf(c_104225,plain,
vlookup(sK91,iPr_def_10) = vsomeType(sK92),
inference(forward_subsumption_resolution,[status(thm)],[c_104216,c_104197]) ).
tcf(c_128187,plain,
vvar(sK82(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_32439,c_101801]) ).
tcf(c_128247,plain,
sK82(iPr_def_11,sK92,iPr_def_10) = sK91,
inference(superposition,[status(thm)],[c_128187,c_16274]) ).
tcf(c_128265,plain,
! [X0: $i,X1: $i,X2: $i] : vabs(X0,X1,X2) != iPr_def_11,
inference(superposition,[status(thm)],[c_128187,c_55]) ).
tcf(c_128286,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vlookup(sK91,iPr_def_10) = vsomeType(sK92) )
| ( vabs(sK83(iPr_def_11,sK92,iPr_def_10),sK85(iPr_def_11,sK92,iPr_def_10),sK84(iPr_def_11,sK92,iPr_def_10)) = iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_29794,c_128247]) ).
tcf(c_128291,plain,
( sP12(iPr_def_11,sK92,iPr_def_10)
| ( vlookup(sK91,iPr_def_10) = vsomeType(sK92) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128286,c_128265]) ).
tcf(c_128393,plain,
vlookup(sK91,iPr_def_10) = vsomeType(sK92),
inference(global_subsumption_just,[status(thm)],[c_128291,c_104225]) ).
tcf(c_128395,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( vlookup(sK89,iPr_def_10) = vsomeType(sK92) ) ),
inference(superposition,[status(thm)],[c_16503,c_128393]) ).
tcf(c_128401,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( vsomeType(sK92) = vsomeType(sK87) ) ),
inference(light_normalisation,[status(thm)],[c_128395,c_16375]) ).
tcf(c_128834,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( vgetSomeType(vsomeType(sK92)) = sK87 ) ),
inference(superposition,[status(thm)],[c_128401,c_77]) ).
tcf(c_129903,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( sK92 = sK87 ) ),
inference(demodulation,[status(thm)],[c_128834,c_77]) ).
tcf(c_130075,plain,
( vtcheck(sK88,iPr_def_12,sK92)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_129903,c_16566]) ).
tcf(c_130080,plain,
iPr_def_11 = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_130075,c_13227]) ).
tcf(c_130142,plain,
vsubst(sK89,sK90,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_13224,c_130080]) ).
tcf(c_130143,plain,
~ vtcheck(sK88,iPr_def_11,sK92),
inference(demodulation,[status(thm)],[c_13227,c_130080]) ).
tcf(c_130144,plain,
visFreeVar(sK89,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_20222,c_130143]) ).
tcf(c_130201,plain,
sK89 = sK91,
inference(superposition,[status(thm)],[c_130144,c_16307]) ).
tcf(c_130206,plain,
vlookup(sK89,iPr_def_10) = vsomeType(sK92),
inference(demodulation,[status(thm)],[c_128393,c_130201]) ).
tcf(c_130319,plain,
! [X0: $i] : vsubst(sK89,X0,iPr_def_11) = X0,
inference(demodulation,[status(thm)],[c_16280,c_130201]) ).
tcf(c_130376,plain,
vsomeType(sK92) = vsomeType(sK87),
inference(demodulation,[status(thm)],[c_16375,c_130206]) ).
tcf(c_130853,plain,
sK90 = iPr_def_11,
inference(demodulation,[status(thm)],[c_130142,c_130319]) ).
tcf(c_130923,plain,
vtcheck(sK88,iPr_def_11,sK87),
inference(demodulation,[status(thm)],[c_13226,c_130853]) ).
tcf(c_131199,plain,
vgetSomeType(vsomeType(sK92)) = sK87,
inference(superposition,[status(thm)],[c_130376,c_77]) ).
tcf(c_131212,plain,
sK92 = sK87,
inference(demodulation,[status(thm)],[c_131199,c_77]) ).
tcf(c_131217,plain,
vtcheck(sK88,iPr_def_11,sK92),
inference(demodulation,[status(thm)],[c_130923,c_131212]) ).
tcf(c_131225,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_131217,c_130143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM135+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 07:54:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 66.67/11.32 % SZS status Started for theBenchmark.p
% 66.67/11.32 % SZS status Theorem for theBenchmark.p
% 66.67/11.32
% 66.67/11.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 66.67/11.32
% 66.67/11.32 % ------ iProver source info
% 66.67/11.32
% 66.67/11.32 % git: date: 2026-07-19 20:42:38 +0200
% 66.67/11.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 66.67/11.32 % git: non_committed_changes: false
% 66.67/11.32
% 66.67/11.32 % ------ Parsing...
% 66.67/11.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 66.67/11.32
% 66.67/11.32 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 66.67/11.32
% 66.67/11.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 66.67/11.32
% 66.67/11.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 66.67/11.32 % ------ Proving...
% 66.67/11.32 % ------ Problem Properties
% 66.67/11.32
% 66.67/11.32 %
% 66.67/11.32 % clauses 143
% 66.67/11.32 % conjectures 3
% 66.67/11.32 % EPR 6
% 66.67/11.32 % Horn 115
% 66.67/11.32 % unary 29
% 66.67/11.32 % binary 86
% 66.67/11.32 % lits 308
% 66.67/11.32 % lits eq 136
% 66.67/11.32 % fd_pure 0
% 66.67/11.32 % fd_pseudo 0
% 66.67/11.32 % fd_cond 3
% 66.67/11.32 % fd_pseudo_cond 20
% 66.67/11.32 % AC symbols 0
% 66.67/11.32
% 66.67/11.32 % ------ Schedule dynamic 5 is on
% 66.67/11.32
% 66.67/11.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 66.67/11.32
% 66.67/11.32
% 66.67/11.32 % ------
% 66.67/11.32 % Current options:
% 66.67/11.32 % ------
% 66.67/11.32
% 66.67/11.32
% 66.67/11.32 %
% 66.67/11.32
% 66.67/11.32 % ------ Proving...
% 66.67/11.32 %
% 66.67/11.32
% 66.67/11.32 % SZS status Theorem for theBenchmark.p
% 66.67/11.32
% 66.67/11.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.67/11.33
% 66.67/11.33
%------------------------------------------------------------------------------