TSTP Solution File: COM132+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 18:42:22 EDT 2023
% Result : Theorem 7.72s 1.63s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 18 unt; 0 def)
% Number of atoms : 273 ( 106 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 320 ( 126 ~; 115 |; 53 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 326 ( 9 sgn; 254 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X3,X11,X13,X12] :
( ( vapp(X11,X12) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) ) )
& ( ( visFreeVar(X13,X12)
| visFreeVar(X13,X11) )
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f33,axiom,
! [X0,X3,X5,X18,X8,X10,X14,X20,X23,X11] :
( ( vabs(X20,X14,X11) = X5
& X3 = X10
& X0 = X8 )
=> ( ( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
& visFreeVar(X20,X10)
& X8 != X20 )
=> ( vsubst(X0,X3,X5) = X18
=> vsubst(X8,X10,vabs(X23,X14,vsubst(X20,vvar(X23),X11))) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst4) ).
fof(f58,axiom,
! [X9,X8,X20,X10] :
( ~ visFreeVar(X20,X10)
=> valphaEquivalent(vabs(X8,X9,X10),vabs(X20,X9,vsubst(X8,vvar(X20),X10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).
fof(f59,axiom,
! [X10,X19,X11,X14] :
( ( valphaEquivalent(X10,X11)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,X11,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f64,axiom,
! [X14,X19,X8,X10,X20,X9,X11,X33] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,X11),X33)
& vtcheck(X19,X10,X14)
& ~ visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,X11)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).
fof(f65,axiom,
! [X10,X11,X8,X23] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> X8 != X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f67,conjecture,
! [X14,X19,X8,X10,X20,X9,X33] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33)
& vtcheck(X19,X10,X14)
& visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof(f68,negated_conjecture,
~ ! [X14,X19,X8,X10,X20,X9,X33] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33)
& vtcheck(X19,X10,X14)
& visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
inference(negated_conjecture,[],[f67]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] :
( ( vapp(X2,X4) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) ) )
& ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f94,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( vabs(X7,X6,X9) = X2
& X1 = X5
& X0 = X4 )
=> ( ( vgensym(vapp(vapp(X5,X9),vvar(X4))) = X8
& visFreeVar(X7,X5)
& X4 != X7 )
=> ( vsubst(X0,X1,X2) = X3
=> vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3 ) ) ),
inference(rectify,[],[f33]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
inference(rectify,[],[f58]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ( valphaEquivalent(X0,X2)
& vtcheck(X1,X0,X3) )
=> vtcheck(X1,X2,X3) ),
inference(rectify,[],[f59]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
& vtcheck(X1,X3,X0)
& ~ visFreeVar(X4,X3)
& X2 != X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(rectify,[],[f64]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3
=> X2 != X3 ),
inference(rectify,[],[f65]) ).
fof(f133,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(rectify,[],[f68]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f78]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2)
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) ) ) )
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(flattening,[],[f146]) ).
fof(f167,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f94]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3
| vsubst(X0,X1,X2) != X3
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4 ),
inference(ennf_transformation,[],[f99]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3
| vsubst(X0,X1,X2) != X3
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4 ),
inference(flattening,[],[f176]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(ennf_transformation,[],[f124]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(ennf_transformation,[],[f125]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(flattening,[],[f215]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
| ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4 ),
inference(ennf_transformation,[],[f130]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
| ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4 ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( X2 != X3
| vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3 ),
inference(ennf_transformation,[],[f131]) ).
fof(f229,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 ),
inference(ennf_transformation,[],[f133]) ).
fof(f230,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 ),
inference(flattening,[],[f229]) ).
fof(f318,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 )
=> ( ~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
& vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93)
& vtcheck(sK88,sK90,sK87)
& visFreeVar(sK91,sK90)
& sK89 != sK91 ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
& vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93)
& vtcheck(sK88,sK90,sK87)
& visFreeVar(sK91,sK90)
& sK89 != sK91 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92,sK93])],[f230,f318]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f147]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f147]) ).
fof(f372,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3
| vsubst(X0,X1,X2) != X3
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4 ),
inference(cnf_transformation,[],[f177]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(cnf_transformation,[],[f214]) ).
fof(f472,plain,
! [X2,X3,X0,X1] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f477,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
| ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4 ),
inference(cnf_transformation,[],[f226]) ).
fof(f478,plain,
! [X2,X3,X0,X1] :
( X2 != X3
| vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3 ),
inference(cnf_transformation,[],[f227]) ).
fof(f480,plain,
sK89 != sK91,
inference(cnf_transformation,[],[f319]) ).
fof(f481,plain,
visFreeVar(sK91,sK90),
inference(cnf_transformation,[],[f319]) ).
fof(f482,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f319]) ).
fof(f483,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93),
inference(cnf_transformation,[],[f319]) ).
fof(f484,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X4)
| X0 != X3 ),
inference(equality_resolution,[],[f341]) ).
fof(f509,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f508]) ).
fof(f510,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X2)
| X0 != X3 ),
inference(equality_resolution,[],[f340]) ).
fof(f511,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f510]) ).
fof(f534,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f372]) ).
fof(f553,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9)))
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4 ),
inference(equality_resolution,[],[f377]) ).
fof(f554,plain,
! [X2,X0,X1,X6,X9,X7,X4,X5] :
( vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9)))
| ~ visFreeVar(X7,X5)
| X4 = X7
| vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4 ),
inference(equality_resolution,[],[f553]) ).
fof(f555,plain,
! [X0,X1,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X0,X1,vabs(X7,X6,X9))
| ~ visFreeVar(X7,X5)
| X4 = X7
| X1 != X5
| X0 != X4 ),
inference(equality_resolution,[],[f554]) ).
fof(f556,plain,
! [X0,X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X0,X5,vabs(X7,X6,X9))
| ~ visFreeVar(X7,X5)
| X4 = X7
| X0 != X4 ),
inference(equality_resolution,[],[f555]) ).
fof(f557,plain,
! [X6,X9,X7,X4,X5] :
( vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X5,vabs(X7,X6,X9))
| ~ visFreeVar(X7,X5)
| X4 = X7 ),
inference(equality_resolution,[],[f556]) ).
fof(f596,plain,
! [X3,X0,X1] : vgensym(vapp(vapp(X0,X1),vvar(X3))) != X3,
inference(equality_resolution,[],[f478]) ).
cnf(c_67,plain,
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X2,X1)) ),
inference(cnf_transformation,[],[f509]) ).
cnf(c_68,plain,
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X1,X2)) ),
inference(cnf_transformation,[],[f511]) ).
cnf(c_94,plain,
~ visFreeVar(vgensym(X0),X0),
inference(cnf_transformation,[],[f534]) ).
cnf(c_99,plain,
( ~ visFreeVar(X0,X1)
| vsubst(X2,X1,vabs(vgensym(vapp(vapp(X1,X3),vvar(X2))),X4,vsubst(X0,vvar(vgensym(vapp(vapp(X1,X3),vvar(X2)))),X3))) = vsubst(X2,X1,vabs(X0,X4,X3))
| X0 = X2 ),
inference(cnf_transformation,[],[f557]) ).
cnf(c_190,plain,
( valphaEquivalent(vabs(X0,X1,X2),vabs(X3,X1,vsubst(X0,vvar(X3),X2)))
| visFreeVar(X3,X2) ),
inference(cnf_transformation,[],[f471]) ).
cnf(c_191,plain,
( ~ vtcheck(X0,X1,X2)
| ~ valphaEquivalent(X1,X3)
| vtcheck(X0,X3,X2) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_196,plain,
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| ~ vtcheck(X2,X7,X1)
| X0 = X3
| vtcheck(X2,vsubst(X0,X7,vabs(X3,X4,X5)),X6)
| visFreeVar(X3,X7) ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_197,plain,
vgensym(vapp(vapp(X0,X1),vvar(X2))) != X2,
inference(cnf_transformation,[],[f596]) ).
cnf(c_199,negated_conjecture,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93),
inference(cnf_transformation,[],[f484]) ).
cnf(c_200,negated_conjecture,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93),
inference(cnf_transformation,[],[f483]) ).
cnf(c_201,negated_conjecture,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f482]) ).
cnf(c_202,negated_conjecture,
visFreeVar(sK91,sK90),
inference(cnf_transformation,[],[f481]) ).
cnf(c_203,negated_conjecture,
sK89 != sK91,
inference(cnf_transformation,[],[f480]) ).
cnf(c_16637,plain,
~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(superposition,[status(thm)],[c_68,c_94]) ).
cnf(c_16639,plain,
~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0),
inference(superposition,[status(thm)],[c_68,c_16637]) ).
cnf(c_16640,plain,
~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X1),
inference(superposition,[status(thm)],[c_67,c_16637]) ).
cnf(c_16839,plain,
( ~ valphaEquivalent(vabs(sK91,sK92,veabs),X0)
| vtcheck(vbind(sK89,sK87,sK88),X0,sK93) ),
inference(superposition,[status(thm)],[c_200,c_191]) ).
cnf(c_25645,plain,
( ~ valphaEquivalent(vabs(sK91,sK92,veabs),vabs(X0,X1,X2))
| ~ vtcheck(sK88,X3,sK87)
| X0 = sK89
| vtcheck(sK88,vsubst(sK89,X3,vabs(X0,X1,X2)),sK93)
| visFreeVar(X0,X3) ),
inference(superposition,[status(thm)],[c_16839,c_196]) ).
cnf(c_26429,plain,
( vsubst(X0,sK90,vabs(vgensym(vapp(vapp(sK90,X1),vvar(X0))),X2,vsubst(sK91,vvar(vgensym(vapp(vapp(sK90,X1),vvar(X0)))),X1))) = vsubst(X0,sK90,vabs(sK91,X2,X1))
| X0 = sK91 ),
inference(superposition,[status(thm)],[c_202,c_99]) ).
cnf(c_26894,plain,
( ~ valphaEquivalent(vabs(sK91,sK92,veabs),vabs(vgensym(vapp(vapp(sK90,X0),vvar(sK89))),X1,vsubst(sK91,vvar(vgensym(vapp(vapp(sK90,X0),vvar(sK89)))),X0)))
| ~ vtcheck(sK88,sK90,sK87)
| vgensym(vapp(vapp(sK90,X0),vvar(sK89))) = sK89
| sK89 = sK91
| vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,X1,X0)),sK93)
| visFreeVar(vgensym(vapp(vapp(sK90,X0),vvar(sK89))),sK90) ),
inference(superposition,[status(thm)],[c_26429,c_25645]) ).
cnf(c_26920,plain,
( ~ valphaEquivalent(vabs(sK91,sK92,veabs),vabs(vgensym(vapp(vapp(sK90,X0),vvar(sK89))),X1,vsubst(sK91,vvar(vgensym(vapp(vapp(sK90,X0),vvar(sK89)))),X0)))
| vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,X1,X0)),sK93) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26894,c_16639,c_203,c_197,c_201]) ).
cnf(c_26937,plain,
( vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93)
| visFreeVar(vgensym(vapp(vapp(sK90,veabs),vvar(sK89))),veabs) ),
inference(superposition,[status(thm)],[c_190,c_26920]) ).
cnf(c_26941,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26937,c_16640,c_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 13:43:41 EDT 2023
% 0.13/0.34 % 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
% 7.72/1.63 % SZS status Started for theBenchmark.p
% 7.72/1.63 % SZS status Theorem for theBenchmark.p
% 7.72/1.63
% 7.72/1.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.72/1.63
% 7.72/1.63 ------ iProver source info
% 7.72/1.63
% 7.72/1.63 git: date: 2023-05-31 18:12:56 +0000
% 7.72/1.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.72/1.63 git: non_committed_changes: false
% 7.72/1.63 git: last_make_outside_of_git: false
% 7.72/1.63
% 7.72/1.63 ------ Parsing...
% 7.72/1.63 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.72/1.63
% 7.72/1.63 ------ 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
% 7.72/1.63
% 7.72/1.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.72/1.63
% 7.72/1.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.72/1.63 ------ Proving...
% 7.72/1.63 ------ Problem Properties
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63 clauses 151
% 7.72/1.63 conjectures 5
% 7.72/1.63 EPR 11
% 7.72/1.63 Horn 121
% 7.72/1.63 unary 31
% 7.72/1.63 binary 88
% 7.72/1.63 lits 328
% 7.72/1.63 lits eq 135
% 7.72/1.63 fd_pure 0
% 7.72/1.63 fd_pseudo 0
% 7.72/1.63 fd_cond 3
% 7.72/1.63 fd_pseudo_cond 21
% 7.72/1.63 AC symbols 0
% 7.72/1.63
% 7.72/1.63 ------ Schedule dynamic 5 is on
% 7.72/1.63
% 7.72/1.63 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63 ------
% 7.72/1.63 Current options:
% 7.72/1.63 ------
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63 ------ Proving...
% 7.72/1.63
% 7.72/1.63
% 7.72/1.63 % SZS status Theorem for theBenchmark.p
% 7.72/1.63
% 7.72/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.72/1.63
% 7.72/1.63
%------------------------------------------------------------------------------