TSTP Solution File: SET711+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET711+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 03:15:45 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 368 ( 27 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 477 ( 163 ~; 185 |; 117 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 224 ( 0 sgn 136 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3] :
( one_to_one(X1,X2,X3)
<=> ( injective(X1,X2,X3)
& surjective(X1,X2,X3) ) ),
file('/tmp/tmp8qDOJV/sel_SET711+4.p_1',one_to_one) ).
fof(4,axiom,
! [X1,X9,X2,X3] :
( equal_maps(X1,X9,X2,X3)
<=> ! [X6,X7,X8] :
( ( member(X6,X2)
& member(X7,X3)
& member(X8,X3) )
=> ( ( apply(X1,X6,X7)
& apply(X9,X6,X8) )
=> X7 = X8 ) ) ),
file('/tmp/tmp8qDOJV/sel_SET711+4.p_1',equal_maps) ).
fof(5,axiom,
! [X1,X2,X3] :
( injective(X1,X2,X3)
<=> ! [X10,X11,X4] :
( ( member(X10,X2)
& member(X11,X2)
& member(X4,X3) )
=> ( ( apply(X1,X10,X4)
& apply(X1,X11,X4) )
=> X10 = X11 ) ) ),
file('/tmp/tmp8qDOJV/sel_SET711+4.p_1',injective) ).
fof(6,axiom,
! [X9,X1,X2,X3] :
( inverse_predicate(X9,X1,X2,X3)
<=> ! [X6,X4] :
( ( member(X6,X2)
& member(X4,X3) )
=> ( apply(X1,X6,X4)
<=> apply(X9,X4,X6) ) ) ),
file('/tmp/tmp8qDOJV/sel_SET711+4.p_1',inverse_predicate) ).
fof(7,conjecture,
! [X1,X9,X12,X2,X3] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& inverse_predicate(X9,X1,X2,X3)
& inverse_predicate(X12,X1,X2,X3) )
=> equal_maps(X9,X12,X3,X2) ),
file('/tmp/tmp8qDOJV/sel_SET711+4.p_1',thII03a) ).
fof(8,negated_conjecture,
~ ! [X1,X9,X12,X2,X3] :
( ( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& inverse_predicate(X9,X1,X2,X3)
& inverse_predicate(X12,X1,X2,X3) )
=> equal_maps(X9,X12,X3,X2) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(18,plain,
! [X1,X2,X3] :
( ( ~ one_to_one(X1,X2,X3)
| ( injective(X1,X2,X3)
& surjective(X1,X2,X3) ) )
& ( ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3)
| one_to_one(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(19,plain,
! [X4,X5,X6] :
( ( ~ one_to_one(X4,X5,X6)
| ( injective(X4,X5,X6)
& surjective(X4,X5,X6) ) )
& ( ~ injective(X4,X5,X6)
| ~ surjective(X4,X5,X6)
| one_to_one(X4,X5,X6) ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(20,plain,
! [X4,X5,X6] :
( ( injective(X4,X5,X6)
| ~ one_to_one(X4,X5,X6) )
& ( surjective(X4,X5,X6)
| ~ one_to_one(X4,X5,X6) )
& ( ~ injective(X4,X5,X6)
| ~ surjective(X4,X5,X6)
| one_to_one(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[19]) ).
cnf(23,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[20]) ).
fof(44,plain,
! [X1,X9,X2,X3] :
( ( ~ equal_maps(X1,X9,X2,X3)
| ! [X6,X7,X8] :
( ~ member(X6,X2)
| ~ member(X7,X3)
| ~ member(X8,X3)
| ~ apply(X1,X6,X7)
| ~ apply(X9,X6,X8)
| X7 = X8 ) )
& ( ? [X6,X7,X8] :
( member(X6,X2)
& member(X7,X3)
& member(X8,X3)
& apply(X1,X6,X7)
& apply(X9,X6,X8)
& X7 != X8 )
| equal_maps(X1,X9,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(45,plain,
! [X10,X11,X12,X13] :
( ( ~ equal_maps(X10,X11,X12,X13)
| ! [X14,X15,X16] :
( ~ member(X14,X12)
| ~ member(X15,X13)
| ~ member(X16,X13)
| ~ apply(X10,X14,X15)
| ~ apply(X11,X14,X16)
| X15 = X16 ) )
& ( ? [X17,X18,X19] :
( member(X17,X12)
& member(X18,X13)
& member(X19,X13)
& apply(X10,X17,X18)
& apply(X11,X17,X19)
& X18 != X19 )
| equal_maps(X10,X11,X12,X13) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,plain,
! [X10,X11,X12,X13] :
( ( ~ equal_maps(X10,X11,X12,X13)
| ! [X14,X15,X16] :
( ~ member(X14,X12)
| ~ member(X15,X13)
| ~ member(X16,X13)
| ~ apply(X10,X14,X15)
| ~ apply(X11,X14,X16)
| X15 = X16 ) )
& ( ( member(esk8_4(X10,X11,X12,X13),X12)
& member(esk9_4(X10,X11,X12,X13),X13)
& member(esk10_4(X10,X11,X12,X13),X13)
& apply(X10,esk8_4(X10,X11,X12,X13),esk9_4(X10,X11,X12,X13))
& apply(X11,esk8_4(X10,X11,X12,X13),esk10_4(X10,X11,X12,X13))
& esk9_4(X10,X11,X12,X13) != esk10_4(X10,X11,X12,X13) )
| equal_maps(X10,X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[45]) ).
fof(47,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( ( ~ member(X14,X12)
| ~ member(X15,X13)
| ~ member(X16,X13)
| ~ apply(X10,X14,X15)
| ~ apply(X11,X14,X16)
| X15 = X16
| ~ equal_maps(X10,X11,X12,X13) )
& ( ( member(esk8_4(X10,X11,X12,X13),X12)
& member(esk9_4(X10,X11,X12,X13),X13)
& member(esk10_4(X10,X11,X12,X13),X13)
& apply(X10,esk8_4(X10,X11,X12,X13),esk9_4(X10,X11,X12,X13))
& apply(X11,esk8_4(X10,X11,X12,X13),esk10_4(X10,X11,X12,X13))
& esk9_4(X10,X11,X12,X13) != esk10_4(X10,X11,X12,X13) )
| equal_maps(X10,X11,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[46]) ).
fof(48,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( ( ~ member(X14,X12)
| ~ member(X15,X13)
| ~ member(X16,X13)
| ~ apply(X10,X14,X15)
| ~ apply(X11,X14,X16)
| X15 = X16
| ~ equal_maps(X10,X11,X12,X13) )
& ( member(esk8_4(X10,X11,X12,X13),X12)
| equal_maps(X10,X11,X12,X13) )
& ( member(esk9_4(X10,X11,X12,X13),X13)
| equal_maps(X10,X11,X12,X13) )
& ( member(esk10_4(X10,X11,X12,X13),X13)
| equal_maps(X10,X11,X12,X13) )
& ( apply(X10,esk8_4(X10,X11,X12,X13),esk9_4(X10,X11,X12,X13))
| equal_maps(X10,X11,X12,X13) )
& ( apply(X11,esk8_4(X10,X11,X12,X13),esk10_4(X10,X11,X12,X13))
| equal_maps(X10,X11,X12,X13) )
& ( esk9_4(X10,X11,X12,X13) != esk10_4(X10,X11,X12,X13)
| equal_maps(X10,X11,X12,X13) ) ),
inference(distribute,[status(thm)],[47]) ).
cnf(49,plain,
( equal_maps(X1,X2,X3,X4)
| esk9_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk8_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(51,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk8_4(X1,X2,X3,X4),esk9_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(53,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk9_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(54,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk8_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(56,plain,
! [X1,X2,X3] :
( ( ~ injective(X1,X2,X3)
| ! [X10,X11,X4] :
( ~ member(X10,X2)
| ~ member(X11,X2)
| ~ member(X4,X3)
| ~ apply(X1,X10,X4)
| ~ apply(X1,X11,X4)
| X10 = X11 ) )
& ( ? [X10,X11,X4] :
( member(X10,X2)
& member(X11,X2)
& member(X4,X3)
& apply(X1,X10,X4)
& apply(X1,X11,X4)
& X10 != X11 )
| injective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(57,plain,
! [X12,X13,X14] :
( ( ~ injective(X12,X13,X14)
| ! [X15,X16,X17] :
( ~ member(X15,X13)
| ~ member(X16,X13)
| ~ member(X17,X14)
| ~ apply(X12,X15,X17)
| ~ apply(X12,X16,X17)
| X15 = X16 ) )
& ( ? [X18,X19,X20] :
( member(X18,X13)
& member(X19,X13)
& member(X20,X14)
& apply(X12,X18,X20)
& apply(X12,X19,X20)
& X18 != X19 )
| injective(X12,X13,X14) ) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,plain,
! [X12,X13,X14] :
( ( ~ injective(X12,X13,X14)
| ! [X15,X16,X17] :
( ~ member(X15,X13)
| ~ member(X16,X13)
| ~ member(X17,X14)
| ~ apply(X12,X15,X17)
| ~ apply(X12,X16,X17)
| X15 = X16 ) )
& ( ( member(esk11_3(X12,X13,X14),X13)
& member(esk12_3(X12,X13,X14),X13)
& member(esk13_3(X12,X13,X14),X14)
& apply(X12,esk11_3(X12,X13,X14),esk13_3(X12,X13,X14))
& apply(X12,esk12_3(X12,X13,X14),esk13_3(X12,X13,X14))
& esk11_3(X12,X13,X14) != esk12_3(X12,X13,X14) )
| injective(X12,X13,X14) ) ),
inference(skolemize,[status(esa)],[57]) ).
fof(59,plain,
! [X12,X13,X14,X15,X16,X17] :
( ( ~ member(X15,X13)
| ~ member(X16,X13)
| ~ member(X17,X14)
| ~ apply(X12,X15,X17)
| ~ apply(X12,X16,X17)
| X15 = X16
| ~ injective(X12,X13,X14) )
& ( ( member(esk11_3(X12,X13,X14),X13)
& member(esk12_3(X12,X13,X14),X13)
& member(esk13_3(X12,X13,X14),X14)
& apply(X12,esk11_3(X12,X13,X14),esk13_3(X12,X13,X14))
& apply(X12,esk12_3(X12,X13,X14),esk13_3(X12,X13,X14))
& esk11_3(X12,X13,X14) != esk12_3(X12,X13,X14) )
| injective(X12,X13,X14) ) ),
inference(shift_quantors,[status(thm)],[58]) ).
fof(60,plain,
! [X12,X13,X14,X15,X16,X17] :
( ( ~ member(X15,X13)
| ~ member(X16,X13)
| ~ member(X17,X14)
| ~ apply(X12,X15,X17)
| ~ apply(X12,X16,X17)
| X15 = X16
| ~ injective(X12,X13,X14) )
& ( member(esk11_3(X12,X13,X14),X13)
| injective(X12,X13,X14) )
& ( member(esk12_3(X12,X13,X14),X13)
| injective(X12,X13,X14) )
& ( member(esk13_3(X12,X13,X14),X14)
| injective(X12,X13,X14) )
& ( apply(X12,esk11_3(X12,X13,X14),esk13_3(X12,X13,X14))
| injective(X12,X13,X14) )
& ( apply(X12,esk12_3(X12,X13,X14),esk13_3(X12,X13,X14))
| injective(X12,X13,X14) )
& ( esk11_3(X12,X13,X14) != esk12_3(X12,X13,X14)
| injective(X12,X13,X14) ) ),
inference(distribute,[status(thm)],[59]) ).
cnf(67,plain,
( X4 = X5
| ~ injective(X1,X2,X3)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X4,X6)
| ~ member(X6,X3)
| ~ member(X5,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(68,plain,
! [X9,X1,X2,X3] :
( ( ~ inverse_predicate(X9,X1,X2,X3)
| ! [X6,X4] :
( ~ member(X6,X2)
| ~ member(X4,X3)
| ( ( ~ apply(X1,X6,X4)
| apply(X9,X4,X6) )
& ( ~ apply(X9,X4,X6)
| apply(X1,X6,X4) ) ) ) )
& ( ? [X6,X4] :
( member(X6,X2)
& member(X4,X3)
& ( ~ apply(X1,X6,X4)
| ~ apply(X9,X4,X6) )
& ( apply(X1,X6,X4)
| apply(X9,X4,X6) ) )
| inverse_predicate(X9,X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(69,plain,
! [X10,X11,X12,X13] :
( ( ~ inverse_predicate(X10,X11,X12,X13)
| ! [X14,X15] :
( ~ member(X14,X12)
| ~ member(X15,X13)
| ( ( ~ apply(X11,X14,X15)
| apply(X10,X15,X14) )
& ( ~ apply(X10,X15,X14)
| apply(X11,X14,X15) ) ) ) )
& ( ? [X16,X17] :
( member(X16,X12)
& member(X17,X13)
& ( ~ apply(X11,X16,X17)
| ~ apply(X10,X17,X16) )
& ( apply(X11,X16,X17)
| apply(X10,X17,X16) ) )
| inverse_predicate(X10,X11,X12,X13) ) ),
inference(variable_rename,[status(thm)],[68]) ).
fof(70,plain,
! [X10,X11,X12,X13] :
( ( ~ inverse_predicate(X10,X11,X12,X13)
| ! [X14,X15] :
( ~ member(X14,X12)
| ~ member(X15,X13)
| ( ( ~ apply(X11,X14,X15)
| apply(X10,X15,X14) )
& ( ~ apply(X10,X15,X14)
| apply(X11,X14,X15) ) ) ) )
& ( ( member(esk14_4(X10,X11,X12,X13),X12)
& member(esk15_4(X10,X11,X12,X13),X13)
& ( ~ apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| ~ apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13)) )
& ( apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13)) ) )
| inverse_predicate(X10,X11,X12,X13) ) ),
inference(skolemize,[status(esa)],[69]) ).
fof(71,plain,
! [X10,X11,X12,X13,X14,X15] :
( ( ~ member(X14,X12)
| ~ member(X15,X13)
| ( ( ~ apply(X11,X14,X15)
| apply(X10,X15,X14) )
& ( ~ apply(X10,X15,X14)
| apply(X11,X14,X15) ) )
| ~ inverse_predicate(X10,X11,X12,X13) )
& ( ( member(esk14_4(X10,X11,X12,X13),X12)
& member(esk15_4(X10,X11,X12,X13),X13)
& ( ~ apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| ~ apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13)) )
& ( apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13)) ) )
| inverse_predicate(X10,X11,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[70]) ).
fof(72,plain,
! [X10,X11,X12,X13,X14,X15] :
( ( ~ apply(X11,X14,X15)
| apply(X10,X15,X14)
| ~ member(X14,X12)
| ~ member(X15,X13)
| ~ inverse_predicate(X10,X11,X12,X13) )
& ( ~ apply(X10,X15,X14)
| apply(X11,X14,X15)
| ~ member(X14,X12)
| ~ member(X15,X13)
| ~ inverse_predicate(X10,X11,X12,X13) )
& ( member(esk14_4(X10,X11,X12,X13),X12)
| inverse_predicate(X10,X11,X12,X13) )
& ( member(esk15_4(X10,X11,X12,X13),X13)
| inverse_predicate(X10,X11,X12,X13) )
& ( ~ apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| ~ apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13))
| inverse_predicate(X10,X11,X12,X13) )
& ( apply(X11,esk14_4(X10,X11,X12,X13),esk15_4(X10,X11,X12,X13))
| apply(X10,esk15_4(X10,X11,X12,X13),esk14_4(X10,X11,X12,X13))
| inverse_predicate(X10,X11,X12,X13) ) ),
inference(distribute,[status(thm)],[71]) ).
cnf(77,plain,
( apply(X2,X6,X5)
| ~ inverse_predicate(X1,X2,X3,X4)
| ~ member(X5,X4)
| ~ member(X6,X3)
| ~ apply(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(79,negated_conjecture,
? [X1,X9,X12,X2,X3] :
( maps(X1,X2,X3)
& one_to_one(X1,X2,X3)
& inverse_predicate(X9,X1,X2,X3)
& inverse_predicate(X12,X1,X2,X3)
& ~ equal_maps(X9,X12,X3,X2) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(80,negated_conjecture,
? [X13,X14,X15,X16,X17] :
( maps(X13,X16,X17)
& one_to_one(X13,X16,X17)
& inverse_predicate(X14,X13,X16,X17)
& inverse_predicate(X15,X13,X16,X17)
& ~ equal_maps(X14,X15,X17,X16) ),
inference(variable_rename,[status(thm)],[79]) ).
fof(81,negated_conjecture,
( maps(esk16_0,esk19_0,esk20_0)
& one_to_one(esk16_0,esk19_0,esk20_0)
& inverse_predicate(esk17_0,esk16_0,esk19_0,esk20_0)
& inverse_predicate(esk18_0,esk16_0,esk19_0,esk20_0)
& ~ equal_maps(esk17_0,esk18_0,esk20_0,esk19_0) ),
inference(skolemize,[status(esa)],[80]) ).
cnf(82,negated_conjecture,
~ equal_maps(esk17_0,esk18_0,esk20_0,esk19_0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(83,negated_conjecture,
inverse_predicate(esk18_0,esk16_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(84,negated_conjecture,
inverse_predicate(esk17_0,esk16_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(85,negated_conjecture,
one_to_one(esk16_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(88,negated_conjecture,
injective(esk16_0,esk19_0,esk20_0),
inference(spm,[status(thm)],[23,85,theory(equality)]) ).
cnf(92,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ apply(esk17_0,X2,X1)
| ~ member(X1,esk19_0)
| ~ member(X2,esk20_0) ),
inference(spm,[status(thm)],[77,84,theory(equality)]) ).
cnf(93,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ apply(esk18_0,X2,X1)
| ~ member(X1,esk19_0)
| ~ member(X2,esk20_0) ),
inference(spm,[status(thm)],[77,83,theory(equality)]) ).
cnf(104,negated_conjecture,
( X1 = X2
| ~ apply(esk16_0,X2,X3)
| ~ apply(esk16_0,X1,X3)
| ~ member(X3,esk20_0)
| ~ member(X2,esk19_0)
| ~ member(X1,esk19_0) ),
inference(spm,[status(thm)],[67,88,theory(equality)]) ).
cnf(110,negated_conjecture,
( apply(esk16_0,esk9_4(esk17_0,X1,X2,X3),esk8_4(esk17_0,X1,X2,X3))
| equal_maps(esk17_0,X1,X2,X3)
| ~ member(esk9_4(esk17_0,X1,X2,X3),esk19_0)
| ~ member(esk8_4(esk17_0,X1,X2,X3),esk20_0) ),
inference(spm,[status(thm)],[92,51,theory(equality)]) ).
cnf(119,negated_conjecture,
( apply(esk16_0,esk10_4(X1,esk18_0,X2,X3),esk8_4(X1,esk18_0,X2,X3))
| equal_maps(X1,esk18_0,X2,X3)
| ~ member(esk10_4(X1,esk18_0,X2,X3),esk19_0)
| ~ member(esk8_4(X1,esk18_0,X2,X3),esk20_0) ),
inference(spm,[status(thm)],[93,50,theory(equality)]) ).
cnf(327,negated_conjecture,
( X1 = esk9_4(esk17_0,X2,X3,X4)
| equal_maps(esk17_0,X2,X3,X4)
| ~ apply(esk16_0,X1,esk8_4(esk17_0,X2,X3,X4))
| ~ member(esk8_4(esk17_0,X2,X3,X4),esk20_0)
| ~ member(esk9_4(esk17_0,X2,X3,X4),esk19_0)
| ~ member(X1,esk19_0) ),
inference(spm,[status(thm)],[104,110,theory(equality)]) ).
cnf(735,negated_conjecture,
( esk10_4(esk17_0,esk18_0,X1,X2) = esk9_4(esk17_0,esk18_0,X1,X2)
| equal_maps(esk17_0,esk18_0,X1,X2)
| ~ member(esk8_4(esk17_0,esk18_0,X1,X2),esk20_0)
| ~ member(esk9_4(esk17_0,esk18_0,X1,X2),esk19_0)
| ~ member(esk10_4(esk17_0,esk18_0,X1,X2),esk19_0) ),
inference(spm,[status(thm)],[327,119,theory(equality)]) ).
cnf(737,negated_conjecture,
( equal_maps(esk17_0,esk18_0,X1,X2)
| ~ member(esk8_4(esk17_0,esk18_0,X1,X2),esk20_0)
| ~ member(esk9_4(esk17_0,esk18_0,X1,X2),esk19_0)
| ~ member(esk10_4(esk17_0,esk18_0,X1,X2),esk19_0) ),
inference(csr,[status(thm)],[735,49]) ).
cnf(738,negated_conjecture,
( equal_maps(esk17_0,esk18_0,X1,esk19_0)
| ~ member(esk8_4(esk17_0,esk18_0,X1,esk19_0),esk20_0)
| ~ member(esk9_4(esk17_0,esk18_0,X1,esk19_0),esk19_0) ),
inference(spm,[status(thm)],[737,52,theory(equality)]) ).
cnf(739,negated_conjecture,
( equal_maps(esk17_0,esk18_0,X1,esk19_0)
| ~ member(esk8_4(esk17_0,esk18_0,X1,esk19_0),esk20_0) ),
inference(csr,[status(thm)],[738,53]) ).
cnf(740,negated_conjecture,
equal_maps(esk17_0,esk18_0,esk20_0,esk19_0),
inference(spm,[status(thm)],[739,54,theory(equality)]) ).
cnf(741,negated_conjecture,
$false,
inference(sr,[status(thm)],[740,82,theory(equality)]) ).
cnf(742,negated_conjecture,
$false,
741,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET711+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmp8qDOJV/sel_SET711+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET711+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET711+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET711+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------