TSTP Solution File: COM132+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 02:10:38 EDT 2024
% Result : Theorem 38.01s 6.20s
% Output : CNFRefutation 38.01s
% 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/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',subst4) ).
fof(f47,axiom,
! [X9,X8,X20,X10] :
( ~ visFreeVar(X20,X10)
=> valphaEquivalent(vabs(X8,X9,X10),vabs(X20,X9,vsubst(X8,vvar(X20),X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).
fof(f48,axiom,
! [X10,X19,X11,X14] :
( ( valphaEquivalent(X10,X11)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,X11,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f50,axiom,
! [X14,X19,X8,X10,X20,X9,X11,X27] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,X11),X27)
& vtcheck(X19,X10,X14)
& ~ visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,X11)),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).
fof(f51,axiom,
! [X10,X11,X8,X23] :
( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
=> X8 != X23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f53,conjecture,
! [X14,X19,X8,X10,X20,X9,X27] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X27)
& vtcheck(X19,X10,X14)
& visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof(f54,negated_conjecture,
~ ! [X14,X19,X8,X10,X20,X9,X27] :
( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X27)
& vtcheck(X19,X10,X14)
& visFreeVar(X20,X10)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X27) ),
inference(negated_conjecture,[],[f53]) ).
fof(f64,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(f80,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f85,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(f99,plain,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
inference(rectify,[],[f47]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( valphaEquivalent(X0,X2)
& vtcheck(X1,X0,X3) )
=> vtcheck(X1,X2,X3) ),
inference(rectify,[],[f48]) ).
fof(f102,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,[],[f50]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3
=> X2 != X3 ),
inference(rectify,[],[f51]) ).
fof(f105,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,[],[f54]) ).
fof(f118,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,[],[f64]) ).
fof(f119,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,[],[f118]) ).
fof(f139,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f80]) ).
fof(f148,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,[],[f85]) ).
fof(f149,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,[],[f148]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(ennf_transformation,[],[f99]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(ennf_transformation,[],[f100]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(flattening,[],[f172]) ).
fof(f176,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,[],[f102]) ).
fof(f177,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,[],[f176]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( X2 != X3
| vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3 ),
inference(ennf_transformation,[],[f103]) ).
fof(f180,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,[],[f105]) ).
fof(f181,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,[],[f180]) ).
fof(f235,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(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57)
& vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57)
& vtcheck(sK52,sK54,sK51)
& visFreeVar(sK55,sK54)
& sK53 != sK55 ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57)
& vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57)
& vtcheck(sK52,sK54,sK51)
& visFreeVar(sK55,sK54)
& sK53 != sK55 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55,sK56,sK57])],[f181,f235]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f119]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f119]) ).
fof(f289,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f294,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,[],[f149]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f352,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,[],[f177]) ).
fof(f353,plain,
! [X2,X3,X0,X1] :
( X2 != X3
| vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3 ),
inference(cnf_transformation,[],[f178]) ).
fof(f355,plain,
sK53 != sK55,
inference(cnf_transformation,[],[f236]) ).
fof(f356,plain,
visFreeVar(sK55,sK54),
inference(cnf_transformation,[],[f236]) ).
fof(f357,plain,
vtcheck(sK52,sK54,sK51),
inference(cnf_transformation,[],[f236]) ).
fof(f358,plain,
vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57),
inference(cnf_transformation,[],[f236]) ).
fof(f359,plain,
~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57),
inference(cnf_transformation,[],[f236]) ).
fof(f383,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X4)
| X0 != X3 ),
inference(equality_resolution,[],[f258]) ).
fof(f384,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f383]) ).
fof(f385,plain,
! [X2,X3,X0,X4] :
( visFreeVar(X0,vapp(X2,X4))
| ~ visFreeVar(X3,X2)
| X0 != X3 ),
inference(equality_resolution,[],[f257]) ).
fof(f386,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f385]) ).
fof(f409,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f289]) ).
fof(f428,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,[],[f294]) ).
fof(f429,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,[],[f428]) ).
fof(f430,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,[],[f429]) ).
fof(f431,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,[],[f430]) ).
fof(f432,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,[],[f431]) ).
fof(f443,plain,
! [X3,X0,X1] : vgensym(vapp(vapp(X0,X1),vvar(X3))) != X3,
inference(equality_resolution,[],[f353]) ).
cnf(c_67,plain,
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X2,X1)) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_68,plain,
( ~ visFreeVar(X0,X1)
| visFreeVar(X0,vapp(X1,X2)) ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_94,plain,
~ visFreeVar(vgensym(X0),X0),
inference(cnf_transformation,[],[f409]) ).
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,[],[f432]) ).
cnf(c_153,plain,
( valphaEquivalent(vabs(X0,X1,X2),vabs(X3,X1,vsubst(X0,vvar(X3),X2)))
| visFreeVar(X3,X2) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_154,plain,
( ~ vtcheck(X0,X1,X2)
| ~ valphaEquivalent(X1,X3)
| vtcheck(X0,X3,X2) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_156,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,[],[f352]) ).
cnf(c_157,plain,
vgensym(vapp(vapp(X0,X1),vvar(X2))) != X2,
inference(cnf_transformation,[],[f443]) ).
cnf(c_159,negated_conjecture,
~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57),
inference(cnf_transformation,[],[f359]) ).
cnf(c_160,negated_conjecture,
vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57),
inference(cnf_transformation,[],[f358]) ).
cnf(c_161,negated_conjecture,
vtcheck(sK52,sK54,sK51),
inference(cnf_transformation,[],[f357]) ).
cnf(c_162,negated_conjecture,
visFreeVar(sK55,sK54),
inference(cnf_transformation,[],[f356]) ).
cnf(c_163,negated_conjecture,
sK53 != sK55,
inference(cnf_transformation,[],[f355]) ).
cnf(c_18423,plain,
~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(superposition,[status(thm)],[c_68,c_94]) ).
cnf(c_18439,plain,
~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0),
inference(superposition,[status(thm)],[c_68,c_18423]) ).
cnf(c_18440,plain,
~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X1),
inference(superposition,[status(thm)],[c_67,c_18423]) ).
cnf(c_18538,plain,
( ~ valphaEquivalent(vabs(sK55,sK56,veabs),X0)
| vtcheck(vbind(sK53,sK51,sK52),X0,sK57) ),
inference(superposition,[status(thm)],[c_160,c_154]) ).
cnf(c_19805,plain,
( ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(X0,X1,X2))
| ~ vtcheck(sK52,X3,sK51)
| X0 = sK53
| vtcheck(sK52,vsubst(sK53,X3,vabs(X0,X1,X2)),sK57)
| visFreeVar(X0,X3) ),
inference(superposition,[status(thm)],[c_18538,c_156]) ).
cnf(c_19824,plain,
( vsubst(X0,sK54,vabs(vgensym(vapp(vapp(sK54,X1),vvar(X0))),X2,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X1),vvar(X0)))),X1))) = vsubst(X0,sK54,vabs(sK55,X2,X1))
| X0 = sK55 ),
inference(superposition,[status(thm)],[c_162,c_99]) ).
cnf(c_19926,plain,
( ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),X1,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X0),vvar(sK53)))),X0)))
| ~ vtcheck(sK52,sK54,sK51)
| vgensym(vapp(vapp(sK54,X0),vvar(sK53))) = sK53
| sK53 = sK55
| vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,X1,X0)),sK57)
| visFreeVar(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),sK54) ),
inference(superposition,[status(thm)],[c_19824,c_19805]) ).
cnf(c_19931,plain,
( ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),X1,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X0),vvar(sK53)))),X0)))
| vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,X1,X0)),sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19926,c_18439,c_163,c_157,c_161]) ).
cnf(c_19938,plain,
( vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57)
| visFreeVar(vgensym(vapp(vapp(sK54,veabs),vvar(sK53))),veabs) ),
inference(superposition,[status(thm)],[c_153,c_19931]) ).
cnf(c_19942,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_19938,c_18440,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM132+2 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.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 : Fri May 3 00:47:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.01/6.20 % SZS status Started for theBenchmark.p
% 38.01/6.20 % SZS status Theorem for theBenchmark.p
% 38.01/6.20
% 38.01/6.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 38.01/6.20
% 38.01/6.20 ------ iProver source info
% 38.01/6.20
% 38.01/6.20 git: date: 2024-05-02 19:28:25 +0000
% 38.01/6.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 38.01/6.20 git: non_committed_changes: false
% 38.01/6.20
% 38.01/6.20 ------ Parsing...
% 38.01/6.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.01/6.20
% 38.01/6.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 38.01/6.20
% 38.01/6.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.01/6.20
% 38.01/6.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.01/6.20 ------ Proving...
% 38.01/6.20 ------ Problem Properties
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20 clauses 110
% 38.01/6.20 conjectures 5
% 38.01/6.20 EPR 8
% 38.01/6.20 Horn 86
% 38.01/6.20 unary 22
% 38.01/6.20 binary 62
% 38.01/6.20 lits 244
% 38.01/6.20 lits eq 102
% 38.01/6.20 fd_pure 0
% 38.01/6.20 fd_pseudo 0
% 38.01/6.20 fd_cond 1
% 38.01/6.20 fd_pseudo_cond 20
% 38.01/6.20 AC symbols 0
% 38.01/6.20
% 38.01/6.20 ------ Input Options Time Limit: Unbounded
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20 ------
% 38.01/6.20 Current options:
% 38.01/6.20 ------
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20 ------ Proving...
% 38.01/6.20
% 38.01/6.20
% 38.01/6.20 % SZS status Theorem for theBenchmark.p
% 38.01/6.20
% 38.01/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.01/6.20
% 38.01/6.21
%------------------------------------------------------------------------------