TSTP Solution File: COM134+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 18:42:23 EDT 2023
% Result : Theorem 86.10s 13.01s
% Output : CNFRefutation 86.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 110 ( 27 unt; 0 def)
% Number of atoms : 343 ( 170 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 342 ( 109 ~; 130 |; 80 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 397 ( 14 sgn; 254 !; 75 ?)
% 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/sandbox2/benchmark/theBenchmark.p','EQ-app') ).
fof(f5,axiom,
! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X2,X3,X5,X6] : vabs(X0,X2,X3) != vapp(X5,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-abs-app') ).
fof(f31,axiom,
! [X0,X3,X5,X18,X11,X8,X10,X12] :
( ( vapp(X11,X12) = X5
& X3 = X10
& X0 = X8 )
=> ( vsubst(X0,X3,X5) = X18
=> vapp(vsubst(X8,X10,X11),vsubst(X8,X10,X12)) = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst2) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p','T-inv') ).
fof(f58,axiom,
! [X14,X19,X8,X10,X33] :
( ( vtcheck(vbind(X8,X14,X19),ve1,X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,ve1),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-IH-app1') ).
fof(f59,axiom,
! [X14,X19,X8,X10,X33] :
( ( vtcheck(vbind(X8,X14,X19),ve2,X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,ve2),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-IH-app2') ).
fof(f60,conjecture,
! [X14,X19,X8,X10,X33] :
( ( vtcheck(vbind(X8,X14,X19),vapp(ve1,ve2),X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,vapp(ve1,ve2)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-app') ).
fof(f61,negated_conjecture,
~ ! [X14,X19,X8,X10,X33] :
( ( vtcheck(vbind(X8,X14,X19),vapp(ve1,ve2),X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,vapp(ve1,ve2)),X33) ),
inference(negated_conjecture,[],[f60]) ).
fof(f63,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(f64,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(rectify,[],[f5]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(rectify,[],[f6]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( vapp(X4,X7) = X2
& X1 = X6
& X0 = X5 )
=> ( vsubst(X0,X1,X2) = X3
=> vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = X3 ) ),
inference(rectify,[],[f31]) ).
fof(f112,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(f113,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(f117,plain,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X2,X0,X1),ve1,X4)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,ve1),X4) ),
inference(rectify,[],[f58]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X2,X0,X1),ve2,X4)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,ve2),X4) ),
inference(rectify,[],[f59]) ).
fof(f119,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4) ),
inference(rectify,[],[f61]) ).
fof(f123,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,[],[f63]) ).
fof(f124,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,[],[f123]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = X3
| vsubst(X0,X1,X2) != X3
| vapp(X4,X7) != X2
| X1 != X6
| X0 != X5 ),
inference(ennf_transformation,[],[f90]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = X3
| vsubst(X0,X1,X2) != X3
| vapp(X4,X7) != X2
| X1 != X6
| X0 != X5 ),
inference(flattening,[],[f158]) ).
fof(f193,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,[],[f112]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0)
| ~ vtcheck(X1,X2,varrow(X0,X4)) ),
inference(flattening,[],[f193]) ).
fof(f195,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,[],[f113]) ).
fof(f196,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,[],[f195]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve1,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve1,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve2,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve2,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4)
& vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f208,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4)
& vtcheck(X1,X3,X0) ),
inference(flattening,[],[f207]) ).
fof(f224,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(f225,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,[],[f196,f224]) ).
fof(f288,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,[],[f224]) ).
fof(f289,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,[],[f288]) ).
fof(f290,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(f291,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])],[f289,f290]) ).
fof(f292,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,[],[f225]) ).
fof(f293,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(f294,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(f295,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])],[f292,f294,f293]) ).
fof(f296,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X1,vsubst(X2,X3,vapp(ve1,ve2)),X4)
& vtcheck(vbind(X2,X0,X1),vapp(ve1,ve2),X4)
& vtcheck(X1,X3,X0) )
=> ( ~ vtcheck(sK88,vsubst(sK89,sK90,vapp(ve1,ve2)),sK91)
& vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91)
& vtcheck(sK88,sK90,sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ~ vtcheck(sK88,vsubst(sK89,sK90,vapp(ve1,ve2)),sK91)
& vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91)
& vtcheck(sK88,sK90,sK87) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91])],[f208,f296]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f308,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f64]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f65]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = X3
| vsubst(X0,X1,X2) != X3
| vapp(X4,X7) != X2
| X1 != X6
| X0 != X5 ),
inference(cnf_transformation,[],[f159]) ).
fof(f436,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,[],[f194]) ).
fof(f437,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,[],[f291]) ).
fof(f440,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,[],[f295]) ).
fof(f442,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,[],[f295]) ).
fof(f444,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,[],[f295]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve1,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(vbind(X2,X0,X1),ve2,X4)
| ~ vtcheck(X1,X3,X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f451,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f297]) ).
fof(f452,plain,
vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91),
inference(cnf_transformation,[],[f297]) ).
fof(f453,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vapp(ve1,ve2)),sK91),
inference(cnf_transformation,[],[f297]) ).
fof(f513,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( vsubst(X0,X1,X2) = vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7))
| vapp(X4,X7) != X2
| X1 != X6
| X0 != X5 ),
inference(equality_resolution,[],[f353]) ).
fof(f514,plain,
! [X0,X1,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X0,X1,vapp(X4,X7))
| X1 != X6
| X0 != X5 ),
inference(equality_resolution,[],[f513]) ).
fof(f515,plain,
! [X0,X6,X7,X4,X5] :
( vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X0,X6,vapp(X4,X7))
| X0 != X5 ),
inference(equality_resolution,[],[f514]) ).
fof(f516,plain,
! [X6,X7,X4,X5] : vapp(vsubst(X5,X6,X4),vsubst(X5,X6,X7)) = vsubst(X5,X6,vapp(X4,X7)),
inference(equality_resolution,[],[f515]) ).
cnf(c_53,plain,
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_54,plain,
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_56,plain,
vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f308]) ).
cnf(c_57,plain,
vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f309]) ).
cnf(c_97,plain,
vapp(vsubst(X0,X1,X2),vsubst(X0,X1,X3)) = vsubst(X0,X1,vapp(X2,X3)),
inference(cnf_transformation,[],[f516]) ).
cnf(c_177,plain,
( ~ vtcheck(X0,X1,varrow(X2,X3))
| ~ vtcheck(X0,X4,X2)
| vtcheck(X0,vapp(X1,X4),X3) ),
inference(cnf_transformation,[],[f436]) ).
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,[],[f437]) ).
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,[],[f444]) ).
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,[],[f442]) ).
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,[],[f440]) ).
cnf(c_190,plain,
( ~ vtcheck(vbind(X0,X1,X2),ve1,X3)
| ~ vtcheck(X2,X4,X1)
| vtcheck(X2,vsubst(X0,X4,ve1),X3) ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_191,plain,
( ~ vtcheck(vbind(X0,X1,X2),ve2,X3)
| ~ vtcheck(X2,X4,X1)
| vtcheck(X2,vsubst(X0,X4,ve2),X3) ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_192,negated_conjecture,
~ vtcheck(sK88,vsubst(sK89,sK90,vapp(ve1,ve2)),sK91),
inference(cnf_transformation,[],[f453]) ).
cnf(c_193,negated_conjecture,
vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91),
inference(cnf_transformation,[],[f452]) ).
cnf(c_194,negated_conjecture,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f451]) ).
cnf(c_13272,plain,
X0 = X0,
theory(equality) ).
cnf(c_13274,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_18067,plain,
( vapp(X0,X1) != X2
| vvar(X3) != X2
| vapp(X0,X1) = vvar(X3) ),
inference(instantiation,[status(thm)],[c_13274]) ).
cnf(c_18884,plain,
( ~ sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2))
| vabs(sK79(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK81(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK80(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2))) = vapp(ve1,ve2) ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_25533,plain,
( vapp(sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(superposition,[status(thm)],[c_193,c_186]) ).
cnf(c_26198,plain,
( vabs(sK79(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK81(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK80(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2))) = vapp(ve1,ve2)
| vapp(sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2) ),
inference(superposition,[status(thm)],[c_25533,c_180]) ).
cnf(c_26203,plain,
( vapp(sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26198,c_57]) ).
cnf(c_28348,plain,
( vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) != vapp(ve1,ve2)
| vapp(X0,X1) != vapp(ve1,ve2)
| vapp(X0,X1) = vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) ),
inference(instantiation,[status(thm)],[c_18067]) ).
cnf(c_29282,plain,
vapp(ve1,ve2) = vapp(ve1,ve2),
inference(instantiation,[status(thm)],[c_13272]) ).
cnf(c_53178,plain,
( vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) != vapp(ve1,ve2)
| vapp(ve1,ve2) != vapp(ve1,ve2)
| vapp(ve1,ve2) = vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) ),
inference(instantiation,[status(thm)],[c_28348]) ).
cnf(c_72003,plain,
vapp(ve1,ve2) != vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_144251,plain,
vabs(sK79(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK81(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)),sK80(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2))) != vapp(ve1,ve2),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_199689,plain,
( vapp(sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(superposition,[status(thm)],[c_193,c_186]) ).
cnf(c_200224,plain,
vapp(sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2),
inference(global_subsumption_just,[status(thm)],[c_199689,c_26203,c_29282,c_53178,c_72003]) ).
cnf(c_200275,plain,
( vapp(X0,X1) != vapp(ve1,ve2)
| sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)) = X0 ),
inference(superposition,[status(thm)],[c_200224,c_54]) ).
cnf(c_200276,plain,
( vapp(X0,X1) != vapp(ve1,ve2)
| sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)) = X1 ),
inference(superposition,[status(thm)],[c_200224,c_53]) ).
cnf(c_202373,plain,
sK83(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)) = ve1,
inference(equality_resolution,[status(thm)],[c_200275]) ).
cnf(c_202852,plain,
( ~ vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vtcheck(vbind(sK89,sK87,sK88),ve1,varrow(sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK91))
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(superposition,[status(thm)],[c_202373,c_184]) ).
cnf(c_202853,plain,
( vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vtcheck(vbind(sK89,sK87,sK88),ve1,varrow(sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK91))
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202852,c_193]) ).
cnf(c_202889,plain,
vtcheck(vbind(sK89,sK87,sK88),ve1,varrow(sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK91)),
inference(global_subsumption_just,[status(thm)],[c_202853,c_18884,c_29282,c_53178,c_72003,c_144251,c_202853]) ).
cnf(c_202895,plain,
( ~ vtcheck(sK88,X0,sK87)
| vtcheck(sK88,vsubst(sK89,X0,ve1),varrow(sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)),sK91)) ),
inference(superposition,[status(thm)],[c_202889,c_190]) ).
cnf(c_203126,plain,
sK84(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)) = ve2,
inference(equality_resolution,[status(thm)],[c_200276]) ).
cnf(c_203204,plain,
( ~ vtcheck(vbind(sK89,sK87,sK88),vapp(ve1,ve2),sK91)
| vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vtcheck(vbind(sK89,sK87,sK88),ve2,sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)))
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(superposition,[status(thm)],[c_203126,c_182]) ).
cnf(c_203205,plain,
( vvar(sK86(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) = vapp(ve1,ve2)
| vtcheck(vbind(sK89,sK87,sK88),ve2,sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)))
| sP12(vbind(sK89,sK87,sK88),sK91,vapp(ve1,ve2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203204,c_193]) ).
cnf(c_203261,plain,
vtcheck(vbind(sK89,sK87,sK88),ve2,sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))),
inference(global_subsumption_just,[status(thm)],[c_203205,c_18884,c_29282,c_53178,c_72003,c_144251,c_203205]) ).
cnf(c_203266,plain,
( ~ vtcheck(sK88,X0,sK87)
| vtcheck(sK88,vsubst(sK89,X0,ve2),sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88))) ),
inference(superposition,[status(thm)],[c_203261,c_191]) ).
cnf(c_203737,plain,
( ~ vtcheck(sK88,X0,sK85(vapp(ve1,ve2),sK91,vbind(sK89,sK87,sK88)))
| ~ vtcheck(sK88,X1,sK87)
| vtcheck(sK88,vapp(vsubst(sK89,X1,ve1),X0),sK91) ),
inference(superposition,[status(thm)],[c_202895,c_177]) ).
cnf(c_213548,plain,
( ~ vtcheck(sK88,X0,sK87)
| ~ vtcheck(sK88,X1,sK87)
| vtcheck(sK88,vapp(vsubst(sK89,X1,ve1),vsubst(sK89,X0,ve2)),sK91) ),
inference(superposition,[status(thm)],[c_203266,c_203737]) ).
cnf(c_213597,plain,
( ~ vtcheck(sK88,X0,sK87)
| vtcheck(sK88,vsubst(sK89,X0,vapp(ve1,ve2)),sK91) ),
inference(superposition,[status(thm)],[c_97,c_213548]) ).
cnf(c_215056,plain,
~ vtcheck(sK88,sK90,sK87),
inference(superposition,[status(thm)],[c_213597,c_192]) ).
cnf(c_215058,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_215056,c_194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 13:08:40 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 86.10/13.01 % SZS status Started for theBenchmark.p
% 86.10/13.01 % SZS status Theorem for theBenchmark.p
% 86.10/13.01
% 86.10/13.01 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 86.10/13.01
% 86.10/13.01 ------ iProver source info
% 86.10/13.01
% 86.10/13.01 git: date: 2023-05-31 18:12:56 +0000
% 86.10/13.01 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 86.10/13.01 git: non_committed_changes: false
% 86.10/13.01 git: last_make_outside_of_git: false
% 86.10/13.01
% 86.10/13.01 ------ Parsing...
% 86.10/13.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 86.10/13.01
% 86.10/13.01 ------ 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
% 86.10/13.01
% 86.10/13.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 86.10/13.01
% 86.10/13.01 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 86.10/13.01 ------ Proving...
% 86.10/13.01 ------ Problem Properties
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 clauses 142
% 86.10/13.01 conjectures 3
% 86.10/13.01 EPR 4
% 86.10/13.01 Horn 114
% 86.10/13.01 unary 26
% 86.10/13.01 binary 86
% 86.10/13.01 lits 311
% 86.10/13.01 lits eq 132
% 86.10/13.01 fd_pure 0
% 86.10/13.01 fd_pseudo 0
% 86.10/13.01 fd_cond 3
% 86.10/13.01 fd_pseudo_cond 20
% 86.10/13.01 AC symbols 0
% 86.10/13.01
% 86.10/13.01 ------ Schedule dynamic 5 is on
% 86.10/13.01
% 86.10/13.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 ------
% 86.10/13.01 Current options:
% 86.10/13.01 ------
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 ------ Proving...
% 86.10/13.01 Proof_search_loop: time out after: 7138 full_loop iterations
% 86.10/13.01
% 86.10/13.01 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 ------
% 86.10/13.01 Current options:
% 86.10/13.01 ------
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 ------ Proving...
% 86.10/13.01
% 86.10/13.01
% 86.10/13.01 % SZS status Theorem for theBenchmark.p
% 86.10/13.01
% 86.10/13.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.10/13.01
% 86.10/13.03
%------------------------------------------------------------------------------