TSTP Solution File: COM142+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : COM142+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Wed Aug 30 18:42:25 EDT 2023
% Result : Theorem 84.89s 12.34s
% Output : CNFRefutation 84.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 27 unt; 0 def)
% Number of atoms : 305 ( 153 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 298 ( 93 ~; 110 |; 76 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 321 ( 26 sgn; 179 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X3,X5,X6,X7] :
( ( ( X5 = X7
& X3 = X6 )
=> vapp(X3,X5) = vapp(X6,X7) )
& ( vapp(X3,X5) = vapp(X6,X7)
=> ( X5 = X7
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app') ).
fof(f5,axiom,
! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X2,X3,X5,X6] : vabs(X0,X2,X3) != vapp(X5,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-abs-app') ).
fof(f53,axiom,
! [X9,X19,X11,X12,X14] :
( ( vtcheck(X19,X12,X9)
& vtcheck(X19,X11,varrow(X9,X14)) )
=> vtcheck(X19,vapp(X11,X12),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-app') ).
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/sandbox/benchmark/theBenchmark.p','T-inv') ).
fof(f55,axiom,
! [X8,X9,X19,X14] :
( ( vtcheck(X19,ve1app,X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),ve1app,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH1') ).
fof(f56,axiom,
! [X8,X9,X19,X14] :
( ( vtcheck(X19,ve2app,X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),ve2app,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH2') ).
fof(f57,conjecture,
! [X8,X9,X19,X14] :
( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app') ).
fof(f58,negated_conjecture,
~ ! [X8,X9,X19,X14] :
( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
& vnoType = vlookup(X8,X19) )
=> vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
inference(negated_conjecture,[],[f57]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ( ( X1 = X3
& X0 = X2 )
=> vapp(X0,X1) = vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
inference(rectify,[],[f3]) ).
fof(f61,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(rectify,[],[f5]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(rectify,[],[f6]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X3,X0)
& vtcheck(X1,X2,varrow(X0,X4)) )
=> vtcheck(X1,vapp(X2,X3),X4) ),
inference(rectify,[],[f53]) ).
fof(f110,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] :
( ( vtcheck(X2,ve1app,X3)
& vnoType = vlookup(X0,X2) )
=> vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
inference(rectify,[],[f55]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ( vtcheck(X2,ve2app,X3)
& vnoType = vlookup(X0,X2) )
=> vtcheck(vbind(X0,X1,X2),ve2app,X3) ),
inference(rectify,[],[f56]) ).
fof(f113,plain,
~ ! [X0,X1,X2,X3] :
( ( vtcheck(X2,vapp(ve1app,ve2app),X3)
& vnoType = vlookup(X0,X2) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
inference(rectify,[],[f58]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| vapp(X0,X1) != vapp(X2,X3) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| vapp(X0,X1) != vapp(X2,X3) ) ),
inference(flattening,[],[f117]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(ennf_transformation,[],[f109]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(flattening,[],[f187]) ).
fof(f189,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,[],[f110]) ).
fof(f190,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,[],[f189]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3)
| vnoType != vlookup(X0,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3)
| vnoType != vlookup(X0,X2) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3)
| vnoType != vlookup(X0,X2) ),
inference(ennf_transformation,[],[f112]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3)
| vnoType != vlookup(X0,X2) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vtcheck(X2,vapp(ve1app,ve2app),X3)
& vnoType = vlookup(X0,X2) ),
inference(ennf_transformation,[],[f113]) ).
fof(f196,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vtcheck(X2,vapp(ve1app,ve2app),X3)
& vnoType = vlookup(X0,X2) ),
inference(flattening,[],[f195]) ).
fof(f212,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(f213,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,[],[f190,f212]) ).
fof(f276,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,[],[f212]) ).
fof(f277,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,[],[f276]) ).
fof(f278,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(f279,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])],[f277,f278]) ).
fof(f280,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,[],[f213]) ).
fof(f281,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(f282,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(f283,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])],[f280,f282,f281]) ).
fof(f284,plain,
( ? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vtcheck(X2,vapp(ve1app,ve2app),X3)
& vnoType = vlookup(X0,X2) )
=> ( ~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90)
& vtcheck(sK89,vapp(ve1app,ve2app),sK90)
& vnoType = vlookup(sK87,sK89) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90)
& vtcheck(sK89,vapp(ve1app,ve2app),sK90)
& vnoType = vlookup(sK87,sK89) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90])],[f196,f284]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f296,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f61]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f62]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(cnf_transformation,[],[f188]) ).
fof(f425,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,[],[f279]) ).
fof(f428,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,[],[f283]) ).
fof(f430,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK83(X0,X1,X2),varrow(sK85(X0,X1,X2),X1))
| sP12(X2,X1,X0)
| vvar(sK86(X0,X1,X2)) = X0
| ~ vtcheck(X2,X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f432,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK84(X0,X1,X2),sK85(X0,X1,X2))
| sP12(X2,X1,X0)
| vvar(sK86(X0,X1,X2)) = X0
| ~ vtcheck(X2,X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3)
| vnoType != vlookup(X0,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3)
| vnoType != vlookup(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f436,plain,
vnoType = vlookup(sK87,sK89),
inference(cnf_transformation,[],[f285]) ).
fof(f437,plain,
vtcheck(sK89,vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f285]) ).
fof(f438,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f285]) ).
cnf(c_53,plain,
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_54,plain,
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_56,plain,
vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f296]) ).
cnf(c_57,plain,
vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f297]) ).
cnf(c_177,plain,
( ~ vtcheck(X0,X1,varrow(X2,X3))
| ~ vtcheck(X0,X4,X2)
| vtcheck(X0,vapp(X1,X4),X3) ),
inference(cnf_transformation,[],[f424]) ).
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,[],[f425]) ).
cnf(c_182,plain,
( ~ vtcheck(X0,X1,X2)
| vvar(sK86(X1,X2,X0)) = X1
| vtcheck(X0,sK84(X1,X2,X0),sK85(X1,X2,X0))
| sP12(X0,X2,X1) ),
inference(cnf_transformation,[],[f432]) ).
cnf(c_184,plain,
( ~ vtcheck(X0,X1,X2)
| vvar(sK86(X1,X2,X0)) = X1
| vtcheck(X0,sK83(X1,X2,X0),varrow(sK85(X1,X2,X0),X2))
| sP12(X0,X2,X1) ),
inference(cnf_transformation,[],[f430]) ).
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,[],[f428]) ).
cnf(c_187,plain,
( vlookup(X0,X1) != vnoType
| ~ vtcheck(X1,ve1app,X2)
| vtcheck(vbind(X0,X3,X1),ve1app,X2) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_188,plain,
( vlookup(X0,X1) != vnoType
| ~ vtcheck(X1,ve2app,X2)
| vtcheck(vbind(X0,X3,X1),ve2app,X2) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_189,negated_conjecture,
~ vtcheck(vbind(sK87,sK88,sK89),vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f438]) ).
cnf(c_190,negated_conjecture,
vtcheck(sK89,vapp(ve1app,ve2app),sK90),
inference(cnf_transformation,[],[f437]) ).
cnf(c_191,negated_conjecture,
vlookup(sK87,sK89) = vnoType,
inference(cnf_transformation,[],[f436]) ).
cnf(c_13194,plain,
X0 = X0,
theory(equality) ).
cnf(c_13196,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_18497,plain,
( ~ vtcheck(sK89,vapp(ve1app,ve2app),sK90)
| vapp(sK83(vapp(ve1app,ve2app),sK90,sK89),sK84(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_18630,plain,
( ~ sP12(sK89,sK90,vapp(ve1app,ve2app))
| vabs(sK79(sK89,sK90,vapp(ve1app,ve2app)),sK81(sK89,sK90,vapp(ve1app,ve2app)),sK80(sK89,sK90,vapp(ve1app,ve2app))) = vapp(ve1app,ve2app) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_37447,plain,
vapp(ve1app,ve2app) = vapp(ve1app,ve2app),
inference(instantiation,[status(thm)],[c_13194]) ).
cnf(c_39245,plain,
vabs(X0,X1,X2) != vapp(ve1app,ve2app),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_56802,plain,
( vapp(ve1app,ve2app) != X0
| X1 != X0
| vapp(ve1app,ve2app) = X1 ),
inference(instantiation,[status(thm)],[c_13196]) ).
cnf(c_100668,plain,
( vapp(ve1app,ve2app) != vapp(ve1app,ve2app)
| X0 != vapp(ve1app,ve2app)
| vapp(ve1app,ve2app) = X0 ),
inference(instantiation,[status(thm)],[c_56802]) ).
cnf(c_118861,plain,
( vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) != vapp(ve1app,ve2app)
| vapp(ve1app,ve2app) != vapp(ve1app,ve2app)
| vapp(ve1app,ve2app) = vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) ),
inference(instantiation,[status(thm)],[c_100668]) ).
cnf(c_140373,plain,
vabs(sK79(sK89,sK90,vapp(ve1app,ve2app)),sK81(sK89,sK90,vapp(ve1app,ve2app)),sK80(sK89,sK90,vapp(ve1app,ve2app))) != vapp(ve1app,ve2app),
inference(instantiation,[status(thm)],[c_39245]) ).
cnf(c_161333,plain,
vapp(X0,X1) != vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_181535,plain,
vapp(ve1app,ve2app) != vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)),
inference(instantiation,[status(thm)],[c_161333]) ).
cnf(c_317452,plain,
( ~ vtcheck(sK89,ve1app,X0)
| vtcheck(vbind(sK87,X1,sK89),ve1app,X0) ),
inference(superposition,[status(thm)],[c_191,c_187]) ).
cnf(c_317578,plain,
( ~ vtcheck(vbind(sK87,X0,sK89),X1,X2)
| ~ vtcheck(sK89,ve1app,varrow(X2,X3))
| vtcheck(vbind(sK87,X0,sK89),vapp(ve1app,X1),X3) ),
inference(superposition,[status(thm)],[c_317452,c_177]) ).
cnf(c_318259,plain,
( ~ vtcheck(sK89,ve2app,X0)
| vtcheck(vbind(sK87,X1,sK89),ve2app,X0) ),
inference(superposition,[status(thm)],[c_191,c_188]) ).
cnf(c_318517,plain,
( ~ vtcheck(sK89,ve1app,varrow(X0,X1))
| ~ vtcheck(sK89,ve2app,X0)
| vtcheck(vbind(sK87,X2,sK89),vapp(ve1app,ve2app),X1) ),
inference(superposition,[status(thm)],[c_318259,c_317578]) ).
cnf(c_322044,plain,
( vapp(sK83(vapp(ve1app,ve2app),sK90,sK89),sK84(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(superposition,[status(thm)],[c_190,c_186]) ).
cnf(c_322195,plain,
vapp(sK83(vapp(ve1app,ve2app),sK90,sK89),sK84(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app),
inference(global_subsumption_just,[status(thm)],[c_322044,c_190,c_18497,c_18630,c_37447,c_118861,c_140373,c_181535]) ).
cnf(c_322228,plain,
( vapp(X0,X1) != vapp(ve1app,ve2app)
| sK83(vapp(ve1app,ve2app),sK90,sK89) = X0 ),
inference(superposition,[status(thm)],[c_322195,c_54]) ).
cnf(c_322229,plain,
( vapp(X0,X1) != vapp(ve1app,ve2app)
| sK84(vapp(ve1app,ve2app),sK90,sK89) = X1 ),
inference(superposition,[status(thm)],[c_322195,c_53]) ).
cnf(c_324421,plain,
sK83(vapp(ve1app,ve2app),sK90,sK89) = ve1app,
inference(equality_resolution,[status(thm)],[c_322228]) ).
cnf(c_324554,plain,
sK84(vapp(ve1app,ve2app),sK90,sK89) = ve2app,
inference(equality_resolution,[status(thm)],[c_322229]) ).
cnf(c_325677,plain,
( ~ vtcheck(sK89,vapp(ve1app,ve2app),sK90)
| vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vtcheck(sK89,ve1app,varrow(sK85(vapp(ve1app,ve2app),sK90,sK89),sK90))
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(superposition,[status(thm)],[c_324421,c_184]) ).
cnf(c_325678,plain,
( vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vtcheck(sK89,ve1app,varrow(sK85(vapp(ve1app,ve2app),sK90,sK89),sK90))
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325677,c_190]) ).
cnf(c_325687,plain,
( ~ vtcheck(sK89,vapp(ve1app,ve2app),sK90)
| vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vtcheck(sK89,ve2app,sK85(vapp(ve1app,ve2app),sK90,sK89))
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(superposition,[status(thm)],[c_324554,c_182]) ).
cnf(c_325688,plain,
( vvar(sK86(vapp(ve1app,ve2app),sK90,sK89)) = vapp(ve1app,ve2app)
| vtcheck(sK89,ve2app,sK85(vapp(ve1app,ve2app),sK90,sK89))
| sP12(sK89,sK90,vapp(ve1app,ve2app)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_325687,c_190]) ).
cnf(c_325696,plain,
vtcheck(sK89,ve2app,sK85(vapp(ve1app,ve2app),sK90,sK89)),
inference(global_subsumption_just,[status(thm)],[c_325688,c_18630,c_37447,c_118861,c_140373,c_181535,c_325688]) ).
cnf(c_325708,plain,
vtcheck(sK89,ve1app,varrow(sK85(vapp(ve1app,ve2app),sK90,sK89),sK90)),
inference(global_subsumption_just,[status(thm)],[c_325678,c_18630,c_37447,c_118861,c_140373,c_181535,c_325678]) ).
cnf(c_325715,plain,
( ~ vtcheck(sK89,ve2app,sK85(vapp(ve1app,ve2app),sK90,sK89))
| vtcheck(vbind(sK87,X0,sK89),vapp(ve1app,ve2app),sK90) ),
inference(superposition,[status(thm)],[c_325708,c_318517]) ).
cnf(c_325722,plain,
vtcheck(vbind(sK87,X0,sK89),vapp(ve1app,ve2app),sK90),
inference(forward_subsumption_resolution,[status(thm)],[c_325715,c_325696]) ).
cnf(c_325735,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_189,c_325722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.14 % Problem : COM142+1 : TPTP v8.1.2. Released v6.4.0.
% 0.15/0.15 % Command : run_iprover %s %d THM
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 13:16:53 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 84.89/12.34 % SZS status Started for theBenchmark.p
% 84.89/12.34 % SZS status Theorem for theBenchmark.p
% 84.89/12.34
% 84.89/12.34 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 84.89/12.34
% 84.89/12.34 ------ iProver source info
% 84.89/12.34
% 84.89/12.34 git: date: 2023-05-31 18:12:56 +0000
% 84.89/12.34 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 84.89/12.34 git: non_committed_changes: false
% 84.89/12.34 git: last_make_outside_of_git: false
% 84.89/12.34
% 84.89/12.34 ------ Parsing...
% 84.89/12.34 ------ Clausification by vclausify_rel & Parsing by iProver...
% 84.89/12.34
% 84.89/12.34 ------ 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
% 84.89/12.34
% 84.89/12.34 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 84.89/12.34
% 84.89/12.34 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 84.89/12.34 ------ Proving...
% 84.89/12.34 ------ Problem Properties
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 clauses 139
% 84.89/12.34 conjectures 3
% 84.89/12.34 EPR 3
% 84.89/12.34 Horn 113
% 84.89/12.34 unary 26
% 84.89/12.34 binary 86
% 84.89/12.34 lits 302
% 84.89/12.34 lits eq 134
% 84.89/12.34 fd_pure 0
% 84.89/12.34 fd_pseudo 0
% 84.89/12.34 fd_cond 3
% 84.89/12.34 fd_pseudo_cond 20
% 84.89/12.34 AC symbols 0
% 84.89/12.34
% 84.89/12.34 ------ Schedule dynamic 5 is on
% 84.89/12.34
% 84.89/12.34 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 ------
% 84.89/12.34 Current options:
% 84.89/12.34 ------
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 ------ Proving...
% 84.89/12.34 Proof_search_loop: time out after: 9497 full_loop iterations
% 84.89/12.34
% 84.89/12.34 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 ------
% 84.89/12.34 Current options:
% 84.89/12.34 ------
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 ------ Proving...
% 84.89/12.34
% 84.89/12.34
% 84.89/12.34 % SZS status Theorem for theBenchmark.p
% 84.89/12.34
% 84.89/12.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.89/12.34
% 84.89/12.35
%------------------------------------------------------------------------------