TSTP Solution File: COM138+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:10:39 EDT 2024
% Result : Theorem 27.85s 4.65s
% Output : CNFRefutation 27.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 93 ( 31 unt; 0 def)
% Number of atoms : 282 ( 163 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 275 ( 86 ~; 98 |; 68 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 281 ( 8 sgn 180 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f10,axiom,
! [X0,X3,X8,X13] :
( ( vvar(X8) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> X8 = X13 )
& ( X8 = X13
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f24,axiom,
! [X21,X20,X0,X15,X18,X8,X19] :
( ( vbind(X20,X21,X19) = X15
& X0 = X8 )
=> ( X8 != X20
=> ( vlookup(X0,X15) = X18
=> vlookup(X8,X19) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup2) ).
fof(f51,axiom,
! [X19,X8,X14] :
( vlookup(X8,X19) = vsomeType(X14)
=> vtcheck(X19,vvar(X8),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-var') ).
fof(f54,axiom,
! [X10,X14,X19] :
( vtcheck(X19,X10,X14)
=> ( ? [X11,X12,X9] :
( vtcheck(X19,X12,X9)
& vtcheck(X19,X11,varrow(X9,X14))
& vapp(X11,X12) = X10 )
| ? [X8,X12,X32,X33] :
( vtcheck(vbind(X8,X32,X19),X12,X33)
& varrow(X32,X33) = X14
& vabs(X8,X32,X12) = X10 )
| ? [X8] :
( vlookup(X8,X19) = vsomeType(X14)
& vvar(X8) = X10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv') ).
fof(f56,conjecture,
! [X8,X9,X19,X20,X14] :
( ( vtcheck(vbind(X8,X9,X19),vvar(X20),X14)
& ~ visFreeVar(X8,vvar(X20)) )
=> vtcheck(X19,vvar(X20),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-var') ).
fof(f57,negated_conjecture,
~ ! [X8,X9,X19,X20,X14] :
( ( vtcheck(vbind(X8,X9,X19),vvar(X20),X14)
& ~ visFreeVar(X8,vvar(X20)) )
=> vtcheck(X19,vvar(X20),X14) ),
inference(negated_conjecture,[],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(rectify,[],[f5]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ( vvar(X2) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vbind(X1,X0,X6) = X3
& X2 = X5 )
=> ( X1 != X5
=> ( vlookup(X2,X3) = X4
=> vlookup(X5,X6) = X4 ) ) ),
inference(rectify,[],[f24]) ).
fof(f106,plain,
! [X0,X1,X2] :
( vsomeType(X2) = vlookup(X1,X0)
=> vtcheck(X0,vvar(X1),X2) ),
inference(rectify,[],[f51]) ).
fof(f109,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 ) ) ),
inference(rectify,[],[f54]) ).
fof(f111,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> vtcheck(X2,vvar(X3),X4) ),
inference(rectify,[],[f57]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f65]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(flattening,[],[f120]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(ennf_transformation,[],[f79]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(flattening,[],[f137]) ).
fof(f183,plain,
! [X0,X1,X2] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f187]) ).
fof(f191,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) ),
inference(ennf_transformation,[],[f111]) ).
fof(f192,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) ),
inference(flattening,[],[f191]) ).
fof(f208,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP12(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| sP12(X2,X1,X0)
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f188,f208]) ).
fof(f272,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP12(X2,X1,X0) ),
inference(nnf_transformation,[],[f208]) ).
fof(f273,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
| ~ sP12(X0,X1,X2) ),
inference(rectify,[],[f272]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
=> ( vtcheck(vbind(sK79(X0,X1,X2),sK81(X0,X1,X2),X0),sK80(X0,X1,X2),sK82(X0,X1,X2))
& varrow(sK81(X0,X1,X2),sK82(X0,X1,X2)) = X1
& vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0,X1,X2] :
( ( vtcheck(vbind(sK79(X0,X1,X2),sK81(X0,X1,X2),X0),sK80(X0,X1,X2),sK82(X0,X1,X2))
& varrow(sK81(X0,X1,X2),sK82(X0,X1,X2)) = X1
& vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X2 )
| ~ sP12(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80,sK81,sK82])],[f273,f274]) ).
fof(f276,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| sP12(X2,X1,X0)
| ? [X6] :
( vsomeType(X1) = vlookup(X6,X2)
& vvar(X6) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(rectify,[],[f209]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
=> ( vtcheck(X2,sK84(X0,X1,X2),sK85(X0,X1,X2))
& vtcheck(X2,sK83(X0,X1,X2),varrow(sK85(X0,X1,X2),X1))
& vapp(sK83(X0,X1,X2),sK84(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ? [X6] :
( vsomeType(X1) = vlookup(X6,X2)
& vvar(X6) = X0 )
=> ( vsomeType(X1) = vlookup(sK86(X0,X1,X2),X2)
& vvar(sK86(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ( vtcheck(X2,sK84(X0,X1,X2),sK85(X0,X1,X2))
& vtcheck(X2,sK83(X0,X1,X2),varrow(sK85(X0,X1,X2),X1))
& vapp(sK83(X0,X1,X2),sK84(X0,X1,X2)) = X0 )
| sP12(X2,X1,X0)
| ( vsomeType(X1) = vlookup(sK86(X0,X1,X2),X2)
& vvar(sK86(X0,X1,X2)) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84,sK85,sK86])],[f276,f278,f277]) ).
fof(f280,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> ( ~ vtcheck(sK89,vvar(sK90),sK91)
& vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91)
& ~ visFreeVar(sK87,vvar(sK90)) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ~ vtcheck(sK89,vvar(sK90),sK91)
& vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91)
& ~ visFreeVar(sK87,vvar(sK90)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91])],[f192,f280]) ).
fof(f291,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f292,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f60]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f121]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f121]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(cnf_transformation,[],[f138]) ).
fof(f418,plain,
! [X2,X0,X1] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f421,plain,
! [X2,X0,X1] :
( vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X2
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
fof(f424,plain,
! [X2,X0,X1] :
( vapp(sK83(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X2,X1,X0)
| vvar(sK86(X0,X1,X2)) = X0
| ~ vtcheck(X2,X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f425,plain,
! [X2,X0,X1] :
( vapp(sK83(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X2,X1,X0)
| vsomeType(X1) = vlookup(sK86(X0,X1,X2),X2)
| ~ vtcheck(X2,X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f431,plain,
~ visFreeVar(sK87,vvar(sK90)),
inference(cnf_transformation,[],[f281]) ).
fof(f432,plain,
vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f281]) ).
fof(f433,plain,
~ vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f281]) ).
fof(f443,plain,
! [X2,X3,X0] :
( X2 = X3
| ~ visFreeVar(X0,vvar(X2))
| X0 != X3 ),
inference(equality_resolution,[],[f298]) ).
fof(f444,plain,
! [X2,X3] :
( X2 = X3
| ~ visFreeVar(X3,vvar(X2)) ),
inference(equality_resolution,[],[f443]) ).
fof(f445,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| vvar(X3) != X1
| X0 != X3 ),
inference(equality_resolution,[],[f297]) ).
fof(f446,plain,
! [X3,X0] :
( visFreeVar(X0,vvar(X3))
| X0 != X3 ),
inference(equality_resolution,[],[f445]) ).
fof(f447,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f446]) ).
fof(f476,plain,
! [X2,X3,X0,X1,X6,X5] :
( vlookup(X2,X3) = vlookup(X5,X6)
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(equality_resolution,[],[f320]) ).
fof(f477,plain,
! [X2,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X2,vbind(X1,X0,X6))
| X1 = X5
| X2 != X5 ),
inference(equality_resolution,[],[f476]) ).
fof(f478,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f477]) ).
cnf(c_55,negated_conjecture,
vabs(X0,X1,X2) != vvar(X3),
inference(cnf_transformation,[],[f291]) ).
cnf(c_56,negated_conjecture,
vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f292]) ).
cnf(c_61,plain,
( ~ visFreeVar(X0,vvar(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_62,plain,
visFreeVar(X0,vvar(X0)),
inference(cnf_transformation,[],[f447]) ).
cnf(c_80,plain,
( vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f478]) ).
cnf(c_175,plain,
( vlookup(X0,X1) != vsomeType(X2)
| vtcheck(X1,vvar(X0),X2) ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_180,plain,
( ~ sP12(X0,X1,X2)
| vabs(sK79(X0,X1,X2),sK81(X0,X1,X2),sK80(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_185,plain,
( ~ vtcheck(X0,X1,X2)
| vapp(sK83(X1,X2,X0),sK84(X1,X2,X0)) = X1
| vlookup(sK86(X1,X2,X0),X0) = vsomeType(X2)
| sP12(X0,X2,X1) ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_186,plain,
( ~ vtcheck(X0,X1,X2)
| vapp(sK83(X1,X2,X0),sK84(X1,X2,X0)) = X1
| vvar(sK86(X1,X2,X0)) = X1
| sP12(X0,X2,X1) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_188,negated_conjecture,
~ vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f433]) ).
cnf(c_189,negated_conjecture,
vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f432]) ).
cnf(c_190,negated_conjecture,
~ visFreeVar(sK87,vvar(sK90)),
inference(cnf_transformation,[],[f431]) ).
cnf(c_1245,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91)
| vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vvar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_1253,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91)
| vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vlookup(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_1324,plain,
vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) != vvar(sK90),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5480,plain,
( ~ sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90))
| vabs(sK79(vbind(sK87,sK88,sK89),sK91,vvar(sK90)),sK81(vbind(sK87,sK88,sK89),sK91,vvar(sK90)),sK80(vbind(sK87,sK88,sK89),sK91,vvar(sK90))) = vvar(sK90) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_7956,plain,
vabs(sK79(vbind(sK87,sK88,sK89),sK91,vvar(sK90)),sK81(vbind(sK87,sK88,sK89),sK91,vvar(sK90)),sK80(vbind(sK87,sK88,sK89),sK91,vvar(sK90))) != vvar(sK90),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_9690,plain,
( vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vvar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(superposition,[status(thm)],[c_189,c_186]) ).
cnf(c_9736,plain,
vvar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90),
inference(global_subsumption_just,[status(thm)],[c_9690,c_189,c_1245,c_1324,c_5480,c_7956]) ).
cnf(c_9758,plain,
visFreeVar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vvar(sK90)),
inference(superposition,[status(thm)],[c_9736,c_62]) ).
cnf(c_9816,plain,
sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) = sK90,
inference(superposition,[status(thm)],[c_9758,c_61]) ).
cnf(c_9826,plain,
( vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vlookup(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(superposition,[status(thm)],[c_189,c_185]) ).
cnf(c_9877,plain,
vlookup(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(global_subsumption_just,[status(thm)],[c_9826,c_189,c_1253,c_1324,c_5480,c_7956]) ).
cnf(c_10836,plain,
vlookup(sK90,vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(superposition,[status(thm)],[c_9816,c_9877]) ).
cnf(c_10837,plain,
visFreeVar(sK90,vvar(sK90)),
inference(superposition,[status(thm)],[c_9816,c_9758]) ).
cnf(c_11092,plain,
( vlookup(sK90,sK89) = vsomeType(sK91)
| sK90 = sK87 ),
inference(superposition,[status(thm)],[c_80,c_10836]) ).
cnf(c_14755,plain,
( vlookup(sK90,sK89) != vsomeType(sK91)
| vtcheck(sK89,vvar(sK90),sK91) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_28231,plain,
( vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vvar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(superposition,[status(thm)],[c_189,c_186]) ).
cnf(c_28242,plain,
( vapp(sK83(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),sK84(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90)
| vlookup(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91)
| sP12(vbind(sK87,sK88,sK89),sK91,vvar(sK90)) ),
inference(superposition,[status(thm)],[c_189,c_185]) ).
cnf(c_28337,plain,
vvar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89))) = vvar(sK90),
inference(global_subsumption_just,[status(thm)],[c_28231,c_189,c_1245,c_1324,c_5480,c_7956]) ).
cnf(c_28376,plain,
visFreeVar(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vvar(sK90)),
inference(superposition,[status(thm)],[c_28337,c_62]) ).
cnf(c_28461,plain,
vlookup(sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)),vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(global_subsumption_just,[status(thm)],[c_28242,c_189,c_1253,c_1324,c_5480,c_7956]) ).
cnf(c_28476,plain,
sK86(vvar(sK90),sK91,vbind(sK87,sK88,sK89)) = sK90,
inference(superposition,[status(thm)],[c_28376,c_61]) ).
cnf(c_29425,plain,
vlookup(sK90,vbind(sK87,sK88,sK89)) = vsomeType(sK91),
inference(superposition,[status(thm)],[c_28476,c_28461]) ).
cnf(c_29526,plain,
( vlookup(sK90,sK89) = vsomeType(sK91)
| sK90 = sK87 ),
inference(superposition,[status(thm)],[c_80,c_29425]) ).
cnf(c_29578,plain,
sK90 = sK87,
inference(global_subsumption_just,[status(thm)],[c_29526,c_188,c_11092,c_14755]) ).
cnf(c_29612,plain,
~ visFreeVar(sK90,vvar(sK90)),
inference(superposition,[status(thm)],[c_29578,c_190]) ).
cnf(c_29613,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29612,c_10837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:00:12 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.85/4.65 % SZS status Started for theBenchmark.p
% 27.85/4.65 % SZS status Theorem for theBenchmark.p
% 27.85/4.65
% 27.85/4.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.85/4.65
% 27.85/4.65 ------ iProver source info
% 27.85/4.65
% 27.85/4.65 git: date: 2024-05-02 19:28:25 +0000
% 27.85/4.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.85/4.65 git: non_committed_changes: false
% 27.85/4.65
% 27.85/4.65 ------ Parsing...
% 27.85/4.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 27.85/4.65
% 27.85/4.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 27.85/4.65
% 27.85/4.65 ------ Preprocessing...
% 27.85/4.65
% 27.85/4.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.85/4.65 ------ Proving...
% 27.85/4.65 ------ Problem Properties
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65 clauses 140
% 27.85/4.65 conjectures 26
% 27.85/4.65 EPR 4
% 27.85/4.65 Horn 114
% 27.85/4.65 unary 28
% 27.85/4.65 binary 86
% 27.85/4.65 lits 303
% 27.85/4.65 lits eq 132
% 27.85/4.65 fd_pure 0
% 27.85/4.65 fd_pseudo 0
% 27.85/4.65 fd_cond 3
% 27.85/4.65 fd_pseudo_cond 20
% 27.85/4.65 AC symbols 0
% 27.85/4.65
% 27.85/4.65 ------ Input Options Time Limit: Unbounded
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65 ------
% 27.85/4.65 Current options:
% 27.85/4.65 ------
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65 ------ Proving...
% 27.85/4.65
% 27.85/4.65
% 27.85/4.65 % SZS status Theorem for theBenchmark.p
% 27.85/4.65
% 27.85/4.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.85/4.65
% 27.85/4.65
%------------------------------------------------------------------------------