%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP020+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Sat Jul 16 22:46:06 EDT 2022
% Result : Theorem 2.16s 6.36s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 142 ( 5 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 185 ( 82 ~; 78 |; 10 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 62 ( 0 sgn 30 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Epred__set_2ECROSS__UNIV,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(X9,X11)) = ap(ap(c_2Epred__set_2ECROSS(X9,X11),c_2Epred__set_2EUNIV(X9)),c_2Epred__set_2EUNIV(X11)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP027+5.ax',conj_thm_2Epred__set_2ECROSS__UNIV) ).
fof(ne_ty_2Epair_2Eprod,axiom,
! [X10] :
( ne(X10)
=> ! [X141] :
( ne(X141)
=> ne(ty_2Epair_2Eprod(X10,X141)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP014+5.ax',ne_ty_2Epair_2Eprod) ).
fof(ne_ty_2Enum_2Enum,axiom,
ne(ty_2Enum_2Enum),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP009+5.ax',ne_ty_2Enum_2Enum) ).
fof(mem_c_2Epred__set_2EUNIV,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2EUNIV(X9),arr(X9,bool)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP027+5.ax',mem_c_2Epred__set_2EUNIV) ).
fof(ax_thm_2Ecardinal_2Ecardeq__def,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X475] :
( mem(X475,arr(X9,bool))
=> ! [X476] :
( mem(X476,arr(X11,bool))
=> ( p(ap(ap(c_2Ecardinal_2Ecardeq(X9,X11),X475),X476))
<=> ? [X71] :
( mem(X71,arr(X9,X11))
& p(ap(ap(ap(c_2Epred__set_2EBIJ(X9,X11),X71),X475),X476)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP063+5.ax',ax_thm_2Ecardinal_2Ecardeq__def) ).
fof(conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
? [X19] :
( mem(X19,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
& p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X19),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).
fof(conj_thm_2Ecardinal_2ECARD__SQUARE__NUM,axiom,
p(ap(ap(c_2Ecardinal_2Ecardeq(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP063+5.ax',conj_thm_2Ecardinal_2ECARD__SQUARE__NUM) ).
fof(conj_thm_2Epred__set_2EBIJ__SYM,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ! [X42] :
( mem(X42,arr(X11,bool))
=> ( ? [X71] :
( mem(X71,arr(X9,X11))
& p(ap(ap(ap(c_2Epred__set_2EBIJ(X9,X11),X71),X168),X42)) )
<=> ? [X72] :
( mem(X72,arr(X11,X9))
& p(ap(ap(ap(c_2Epred__set_2EBIJ(X11,X9),X72),X42),X168)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP027+5.ax',conj_thm_2Epred__set_2EBIJ__SYM) ).
fof(c_0_8,plain,
! [X12,X13] :
( ~ ne(X12)
| ~ ne(X13)
| c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(X12,X13)) = ap(ap(c_2Epred__set_2ECROSS(X12,X13),c_2Epred__set_2EUNIV(X12)),c_2Epred__set_2EUNIV(X13)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2ECROSS__UNIV])])])])]) ).
fof(c_0_9,plain,
! [X142,X143] :
( ~ ne(X142)
| ~ ne(X143)
| ne(ty_2Epair_2Eprod(X142,X143)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ne_ty_2Epair_2Eprod])])])])]) ).
cnf(c_0_10,plain,
( c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(X1,X2)) = ap(ap(c_2Epred__set_2ECROSS(X1,X2),c_2Epred__set_2EUNIV(X1)),c_2Epred__set_2EUNIV(X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
ne(ty_2Enum_2Enum),
inference(split_conjunct,[status(thm)],[ne_ty_2Enum_2Enum]) ).
cnf(c_0_12,plain,
( ne(ty_2Epair_2Eprod(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X10] :
( ~ ne(X10)
| mem(c_2Epred__set_2EUNIV(X10),arr(X10,bool)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2EUNIV])]) ).
cnf(c_0_14,plain,
( ap(ap(c_2Epred__set_2ECROSS(X1,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(X1)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)) = c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(X1,ty_2Enum_2Enum))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ne(ty_2Epair_2Eprod(X1,ty_2Enum_2Enum))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
fof(c_0_16,plain,
! [X477,X478,X479,X480,X482] :
( ( mem(esk135_4(X477,X478,X479,X480),arr(X477,X478))
| ~ p(ap(ap(c_2Ecardinal_2Ecardeq(X477,X478),X479),X480))
| ~ mem(X480,arr(X478,bool))
| ~ mem(X479,arr(X477,bool))
| ~ ne(X478)
| ~ ne(X477) )
& ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X477,X478),esk135_4(X477,X478,X479,X480)),X479),X480))
| ~ p(ap(ap(c_2Ecardinal_2Ecardeq(X477,X478),X479),X480))
| ~ mem(X480,arr(X478,bool))
| ~ mem(X479,arr(X477,bool))
| ~ ne(X478)
| ~ ne(X477) )
& ( ~ mem(X482,arr(X477,X478))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X477,X478),X482),X479),X480))
| p(ap(ap(c_2Ecardinal_2Ecardeq(X477,X478),X479),X480))
| ~ mem(X480,arr(X478,bool))
| ~ mem(X479,arr(X477,bool))
| ~ ne(X478)
| ~ ne(X477) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Ecardinal_2Ecardeq__def])])])])])])]) ).
cnf(c_0_17,plain,
( mem(c_2Epred__set_2EUNIV(X1),arr(X1,bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,negated_conjecture,
~ ? [X19] :
( mem(X19,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
& p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X19),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).
cnf(c_0_19,plain,
p(ap(ap(c_2Ecardinal_2Ecardeq(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),
inference(split_conjunct,[status(thm)],[conj_thm_2Ecardinal_2ECARD__SQUARE__NUM]) ).
cnf(c_0_20,plain,
ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)) = c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_21,plain,
ne(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_22,plain,
( mem(esk135_4(X1,X2,X3,X4),arr(X1,X2))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X4,arr(X2,bool))
| ~ p(ap(ap(c_2Ecardinal_2Ecardeq(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
mem(c_2Epred__set_2EUNIV(ty_2Enum_2Enum),arr(ty_2Enum_2Enum,bool)),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
fof(c_0_24,negated_conjecture,
! [X20] :
( ~ mem(X20,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X20),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_25,plain,
! [X169,X170,X171,X172,X173,X175] :
( ( mem(esk126_4(X169,X170,X171,X172),arr(X170,X169))
| ~ mem(X173,arr(X169,X170))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X169,X170),X173),X171),X172))
| ~ mem(X172,arr(X170,bool))
| ~ mem(X171,arr(X169,bool))
| ~ ne(X170)
| ~ ne(X169) )
& ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X170,X169),esk126_4(X169,X170,X171,X172)),X172),X171))
| ~ mem(X173,arr(X169,X170))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X169,X170),X173),X171),X172))
| ~ mem(X172,arr(X170,bool))
| ~ mem(X171,arr(X169,bool))
| ~ ne(X170)
| ~ ne(X169) )
& ( mem(esk127_4(X169,X170,X171,X172),arr(X169,X170))
| ~ mem(X175,arr(X170,X169))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X170,X169),X175),X172),X171))
| ~ mem(X172,arr(X170,bool))
| ~ mem(X171,arr(X169,bool))
| ~ ne(X170)
| ~ ne(X169) )
& ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X169,X170),esk127_4(X169,X170,X171,X172)),X171),X172))
| ~ mem(X175,arr(X170,X169))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X170,X169),X175),X172),X171))
| ~ mem(X172,arr(X170,bool))
| ~ mem(X171,arr(X169,bool))
| ~ ne(X170)
| ~ ne(X169) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2EBIJ__SYM])])])])])])]) ).
cnf(c_0_26,plain,
( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),esk135_4(X1,X2,X3,X4)),X3),X4))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X4,arr(X2,bool))
| ~ p(ap(ap(c_2Ecardinal_2Ecardeq(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
p(ap(ap(c_2Ecardinal_2Ecardeq(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
mem(c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),bool)),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_29,plain,
( mem(esk135_4(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum))
| ~ mem(ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_11])]),c_0_23]),c_0_21])]) ).
cnf(c_0_30,negated_conjecture,
( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X1),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))))
| ~ mem(X1,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),esk126_4(X1,X2,X3,X4)),X4),X3))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X4,arr(X2,bool))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X5),X3),X4))
| ~ mem(X5,arr(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),esk135_4(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_23]),c_0_28]),c_0_11]),c_0_21])]) ).
cnf(c_0_33,plain,
mem(esk135_4(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_20]),c_0_20]),c_0_28])]) ).
cnf(c_0_34,plain,
( mem(esk126_4(X1,X2,X3,X4),arr(X2,X1))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X4,arr(X2,bool))
| ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X5),X3),X4))
| ~ mem(X5,arr(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X1),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))))
| ~ mem(X1,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
inference(rw,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_36,plain,
p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),esk126_4(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]),c_0_28]),c_0_33]),c_0_11]),c_0_21])]) ).
cnf(c_0_37,plain,
mem(esk126_4(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,c_2Epred__set_2EUNIV(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_23]),c_0_28]),c_0_33]),c_0_11]),c_0_21])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP020+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.00/0.10 % Command : run_ET %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 2 14:28:33 EDT 2022
% 0.10/0.29 % CPUTime :
% 2.16/6.36 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 2.16/6.36 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 2.16/6.36 # Preprocessing time : 1.323 s
% 2.16/6.36
% 2.16/6.36 # Proof found!
% 2.16/6.36 # SZS status Theorem
% 2.16/6.36 # SZS output start CNFRefutation
% See solution above
% 2.16/6.36 # Proof object total steps : 39
% 2.16/6.36 # Proof object clause steps : 24
% 2.16/6.36 # Proof object formula steps : 15
% 2.16/6.36 # Proof object conjectures : 6
% 2.16/6.36 # Proof object clause conjectures : 3
% 2.16/6.36 # Proof object formula conjectures : 3
% 2.16/6.36 # Proof object initial clauses used : 10
% 2.16/6.36 # Proof object initial formulas used : 8
% 2.16/6.36 # Proof object generating inferences : 11
% 2.16/6.36 # Proof object simplifying inferences : 30
% 2.16/6.36 # Training examples: 0 positive, 0 negative
% 2.16/6.36 # Parsed axioms : 18001
% 2.16/6.36 # Removed by relevancy pruning/SinE : 17500
% 2.16/6.36 # Initial clauses : 3187
% 2.16/6.36 # Removed in clause preprocessing : 1215
% 2.16/6.36 # Initial clauses in saturation : 1972
% 2.16/6.36 # Processed clauses : 3278
% 2.16/6.36 # ...of these trivial : 52
% 2.16/6.36 # ...subsumed : 252
% 2.16/6.36 # ...remaining for further processing : 2974
% 2.16/6.36 # Other redundant clauses eliminated : 6
% 2.16/6.36 # Clauses deleted for lack of memory : 0
% 2.16/6.36 # Backward-subsumed : 0
% 2.16/6.36 # Backward-rewritten : 315
% 2.16/6.36 # Generated clauses : 36431
% 2.16/6.36 # ...of the previous two non-trivial : 36109
% 2.16/6.36 # Contextual simplify-reflections : 204
% 2.16/6.36 # Paramodulations : 36406
% 2.16/6.36 # Factorizations : 0
% 2.16/6.36 # Equation resolutions : 11
% 2.16/6.36 # Current number of processed clauses : 2639
% 2.16/6.36 # Positive orientable unit clauses : 396
% 2.16/6.36 # Positive unorientable unit clauses: 0
% 2.16/6.36 # Negative unit clauses : 45
% 2.16/6.36 # Non-unit-clauses : 2198
% 2.16/6.36 # Current number of unprocessed clauses: 32424
% 2.16/6.36 # ...number of literals in the above : 154718
% 2.16/6.36 # Current number of archived formulas : 0
% 2.16/6.36 # Current number of archived clauses : 329
% 2.16/6.36 # Clause-clause subsumption calls (NU) : 2276284
% 2.16/6.36 # Rec. Clause-clause subsumption calls : 18771
% 2.16/6.36 # Non-unit clause-clause subsumptions : 361
% 2.16/6.36 # Unit Clause-clause subsumption calls : 46633
% 2.16/6.36 # Rewrite failures with RHS unbound : 0
% 2.16/6.36 # BW rewrite match attempts : 3828
% 2.16/6.36 # BW rewrite match successes : 24
% 2.16/6.36 # Condensation attempts : 0
% 2.16/6.36 # Condensation successes : 0
% 2.16/6.36 # Termbank termtop insertions : 2757909
% 2.16/6.36
% 2.16/6.36 # -------------------------------------------------
% 2.16/6.36 # User time : 3.194 s
% 2.16/6.36 # System time : 0.076 s
% 2.16/6.36 # Total time : 3.270 s
% 2.16/6.36 # Maximum resident set size: 129288 pages
%------------------------------------------------------------------------------