TSTP Solution File: ITP020+4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP020+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %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 : Sat May 4 08:09:03 EDT 2024
% Result : Theorem 204.80s 34.23s
% Output : CNFRefutation 204.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 22 unt; 0 def)
% Number of atoms : 127 ( 31 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 131 ( 39 ~; 31 |; 34 &)
% ( 18 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 52 ( 3 sgn 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).
fof(thm_2Epred__set_2ECROSS__UNIV,axiom,
! [X1,X2] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X1,X2),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X1,X2),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Epred__set_2ECROSS__UNIV) ).
fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Ebool_2EIMP__CLAUSES) ).
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Ecardinal_2Ecardeq__SYM,axiom,
! [X1,X2,X120,X47] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47))) = s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X47),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X120))),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Ecardinal_2Ecardeq__SYM) ).
fof(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8] :
( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',reserved_2Eho_2Ebool__cases__ax) ).
fof(thm_2Ecardinal_2ECARD__SQUARE__NUM,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Ecardinal_2ECARD__SQUARE__NUM) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',reserved_2Eho_2Enotfalse) ).
fof(thm_2Ecardinal_2Ecardeq__def,axiom,
! [X1,X2,X506,X507] :
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X506),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X507))))
<=> ? [X130] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X130),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X506),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X507)))) ),
file('/export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p',thm_2Ecardinal_2Ecardeq__def) ).
fof(c_0_9,negated_conjecture,
~ ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(assume_negation,[status(cth)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).
fof(c_0_10,negated_conjecture,
! [X14903] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X14903),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_11,plain,
! [X16272,X16273] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X16272,X16273),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X16272,X16273),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(X16272,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(X16273,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),
inference(variable_rename,[status(thm)],[thm_2Epred__set_2ECROSS__UNIV]) ).
fof(c_0_12,plain,
! [X8] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X8)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(c_0_13,plain,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(c_0_14,plain,
! [X18942,X18943,X18944,X18945] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X18942,tyop_2Emin_2Ebool),X18944),s(tyop_2Emin_2Efun(X18943,tyop_2Emin_2Ebool),X18945))) = s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X18943,tyop_2Emin_2Ebool),X18945),s(tyop_2Emin_2Efun(X18942,tyop_2Emin_2Ebool),X18944))),
inference(variable_rename,[status(thm)],[thm_2Ecardinal_2Ecardeq__SYM]) ).
cnf(c_0_15,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X1,X2),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(X1,X2),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X19998] :
( s(tyop_2Emin_2Ebool,X19998) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X19998) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
fof(c_0_18,plain,
! [X20010] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X20010)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X20010))
| p(s(tyop_2Emin_2Ebool,X20010)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X20010))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X20010)) )
& ( p(s(tyop_2Emin_2Ebool,X20010))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X20010))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X20010))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X20010)) )
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
& ( p(s(tyop_2Emin_2Ebool,X20010))
| ~ p(s(tyop_2Emin_2Ebool,X20010)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X20010)) )
& ( p(s(tyop_2Emin_2Ebool,X20010))
| ~ p(s(tyop_2Emin_2Ebool,X20010))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X20011] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X20011)
| p(s(tyop_2Emin_2Ebool,X20011)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X20011))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X20011) )
& ( s(tyop_2Emin_2Ebool,X20011) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,X20011)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X20011))
| s(tyop_2Emin_2Ebool,X20011) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X20011)
| ~ p(s(tyop_2Emin_2Ebool,X20011)) )
& ( p(s(tyop_2Emin_2Ebool,X20011))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X20011) )
& ( s(tyop_2Emin_2Ebool,X20011) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X20011)) )
& ( p(s(tyop_2Emin_2Ebool,X20011))
| s(tyop_2Emin_2Ebool,X20011) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_20,plain,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(split_conjunct,[status(thm)],[thm_2Ecardinal_2ECARD__SQUARE__NUM]) ).
cnf(c_0_21,plain,
s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4))) = s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
fof(c_0_23,plain,
! [X16187,X16188,X16189,X16190,X16192,X16193,X16194,X16195,X16196] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X16187,tyop_2Emin_2Ebool),X16189),s(tyop_2Emin_2Efun(X16188,tyop_2Emin_2Ebool),X16190))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X16187,X16188),esk148_4(X16187,X16188,X16189,X16190)),s(tyop_2Emin_2Efun(X16187,tyop_2Emin_2Ebool),X16189),s(tyop_2Emin_2Efun(X16188,tyop_2Emin_2Ebool),X16190)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X16192,X16193),X16196),s(tyop_2Emin_2Efun(X16192,tyop_2Emin_2Ebool),X16194),s(tyop_2Emin_2Efun(X16193,tyop_2Emin_2Ebool),X16195))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X16192,tyop_2Emin_2Ebool),X16194),s(tyop_2Emin_2Efun(X16193,tyop_2Emin_2Ebool),X16195)))) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecardinal_2Ecardeq__def])])])])])]) ).
cnf(c_0_24,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_16]) ).
fof(c_0_29,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X3),esk148_4(X1,X3,X2,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_32,plain,
s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardeq_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_26])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP020+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri May 3 12:45:22 EDT 2024
% 0.09/0.31 % CPUTime :
% 5.89/6.09 Running first-order model finding
% 5.89/6.09 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.PG20s9QoBa/E---3.1_25405.p
% 204.80/34.23 # Version: 3.1.0
% 204.80/34.23 # Preprocessing class: FMLLSMLLSSSNFFN.
% 204.80/34.23 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 204.80/34.23 # Starting new_bool_3 with 894s (3) cores
% 204.80/34.23 # Starting new_bool_1 with 894s (3) cores
% 204.80/34.23 # Starting sh5l with 298s (1) cores
% 204.80/34.23 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 204.80/34.23 # new_bool_1 with pid 25715 completed with status 0
% 204.80/34.23 # Result found by new_bool_1
% 204.80/34.23 # Preprocessing class: FMLLSMLLSSSNFFN.
% 204.80/34.23 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 204.80/34.23 # Starting new_bool_3 with 894s (3) cores
% 204.80/34.23 # Starting new_bool_1 with 894s (3) cores
% 204.80/34.23 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 204.80/34.23 # Search class: FGHSM-SMLM33-DFFFFFNN
% 204.80/34.23 # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 204.80/34.23 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 204.80/34.23 # Starting new_bool_1 with 90s (1) cores
% 204.80/34.23 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 204.80/34.23 # SAT001_MinMin_p005000_rr with pid 25718 completed with status 0
% 204.80/34.23 # Result found by SAT001_MinMin_p005000_rr
% 204.80/34.23 # Preprocessing class: FMLLSMLLSSSNFFN.
% 204.80/34.23 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 204.80/34.23 # Starting new_bool_3 with 894s (3) cores
% 204.80/34.23 # Starting new_bool_1 with 894s (3) cores
% 204.80/34.23 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 204.80/34.23 # Search class: FGHSM-SMLM33-DFFFFFNN
% 204.80/34.23 # Scheduled 6 strats onto 3 cores with 893 seconds (893 total)
% 204.80/34.23 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 204.80/34.23 # Preprocessing time : 0.260 s
% 204.80/34.23 # Presaturation interreduction done
% 204.80/34.23
% 204.80/34.23 # Proof found!
% 204.80/34.23 # SZS status Theorem
% 204.80/34.23 # SZS output start CNFRefutation
% See solution above
% 204.80/34.23 # Parsed axioms : 25153
% 204.80/34.23 # Removed by relevancy pruning/SinE : 21171
% 204.80/34.23 # Initial clauses : 7723
% 204.80/34.23 # Removed in clause preprocessing : 1140
% 204.80/34.23 # Initial clauses in saturation : 6583
% 204.80/34.23 # Processed clauses : 27187
% 204.80/34.23 # ...of these trivial : 1612
% 204.80/34.23 # ...subsumed : 19038
% 204.80/34.23 # ...remaining for further processing : 6537
% 204.80/34.23 # Other redundant clauses eliminated : 0
% 204.80/34.23 # Clauses deleted for lack of memory : 0
% 204.80/34.23 # Backward-subsumed : 52
% 204.80/34.23 # Backward-rewritten : 322
% 204.80/34.23 # Generated clauses : 932463
% 204.80/34.23 # ...of the previous two non-redundant : 693901
% 204.80/34.23 # ...aggressively subsumed : 0
% 204.80/34.23 # Contextual simplify-reflections : 21
% 204.80/34.23 # Paramodulations : 932192
% 204.80/34.23 # Factorizations : 20
% 204.80/34.23 # NegExts : 0
% 204.80/34.23 # Equation resolutions : 251
% 204.80/34.23 # Disequality decompositions : 0
% 204.80/34.23 # Total rewrite steps : 436608
% 204.80/34.23 # ...of those cached : 313764
% 204.80/34.23 # Propositional unsat checks : 1
% 204.80/34.23 # Propositional check models : 0
% 204.80/34.23 # Propositional check unsatisfiable : 0
% 204.80/34.23 # Propositional clauses : 0
% 204.80/34.23 # Propositional clauses after purity: 0
% 204.80/34.23 # Propositional unsat core size : 0
% 204.80/34.23 # Propositional preprocessing time : 0.000
% 204.80/34.23 # Propositional encoding time : 0.425
% 204.80/34.23 # Propositional solver time : 0.105
% 204.80/34.23 # Success case prop preproc time : 0.000
% 204.80/34.23 # Success case prop encoding time : 0.000
% 204.80/34.23 # Success case prop solver time : 0.000
% 204.80/34.23 # Current number of processed clauses : 2335
% 204.80/34.23 # Positive orientable unit clauses : 545
% 204.80/34.23 # Positive unorientable unit clauses: 52
% 204.80/34.23 # Negative unit clauses : 253
% 204.80/34.23 # Non-unit-clauses : 1485
% 204.80/34.23 # Current number of unprocessed clauses: 675452
% 204.80/34.23 # ...number of literals in the above : 1669314
% 204.80/34.23 # Current number of archived formulas : 0
% 204.80/34.23 # Current number of archived clauses : 4202
% 204.80/34.23 # Clause-clause subsumption calls (NU) : 5162359
% 204.80/34.23 # Rec. Clause-clause subsumption calls : 889315
% 204.80/34.23 # Non-unit clause-clause subsumptions : 5638
% 204.80/34.23 # Unit Clause-clause subsumption calls : 10776
% 204.80/34.23 # Rewrite failures with RHS unbound : 282
% 204.80/34.23 # BW rewrite match attempts : 39313
% 204.80/34.23 # BW rewrite match successes : 927
% 204.80/34.23 # Condensation attempts : 0
% 204.80/34.23 # Condensation successes : 0
% 204.80/34.23 # Termbank termtop insertions : 39607846
% 204.80/34.23 # Search garbage collected termcells : 445652
% 204.80/34.23
% 204.80/34.23 # -------------------------------------------------
% 204.80/34.23 # User time : 24.299 s
% 204.80/34.23 # System time : 0.726 s
% 204.80/34.23 # Total time : 25.025 s
% 204.80/34.23 # Maximum resident set size: 79576 pages
% 204.80/34.23
% 204.80/34.23 # -------------------------------------------------
% 204.80/34.23 # User time : 74.016 s
% 204.80/34.23 # System time : 1.444 s
% 204.80/34.23 # Total time : 75.460 s
% 204.80/34.23 # Maximum resident set size: 62340 pages
% 204.80/34.23 % E---3.1 exiting
%------------------------------------------------------------------------------