TSTP Solution File: SET724+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET724+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 03:20:26 EST 2010
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 6 unt; 0 def)
% Number of atoms : 325 ( 20 equ)
% Maximal formula atoms : 19 ( 6 avg)
% Number of connectives : 443 ( 168 ~; 176 |; 90 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-7 aty)
% Number of variables : 242 ( 0 sgn 130 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( surjective(X1,X2,X3)
<=> ! [X4] :
( member(X4,X3)
=> ? [X5] :
( member(X5,X2)
& apply(X1,X5,X4) ) ) ),
file('/tmp/tmp1tdmFp/sel_SET724+4.p_1',surjective) ).
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/tmp1tdmFp/sel_SET724+4.p_1',equal_maps) ).
fof(6,axiom,
! [X9,X1,X2,X3,X12,X6,X13] :
( ( member(X6,X2)
& member(X13,X12) )
=> ( apply(compose_function(X9,X1,X2,X3,X12),X6,X13)
<=> ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4)
& apply(X9,X4,X13) ) ) ),
file('/tmp/tmp1tdmFp/sel_SET724+4.p_1',compose_function) ).
fof(7,conjecture,
! [X1,X9,X14,X2,X3,X12] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X12)
& maps(X14,X3,X12)
& surjective(X1,X2,X3)
& equal_maps(compose_function(X9,X1,X2,X3,X12),compose_function(X14,X1,X2,X3,X12),X2,X12) )
=> equal_maps(X9,X14,X3,X12) ),
file('/tmp/tmp1tdmFp/sel_SET724+4.p_1',thII15) ).
fof(8,negated_conjecture,
~ ! [X1,X9,X14,X2,X3,X12] :
( ( maps(X1,X2,X3)
& maps(X9,X3,X12)
& maps(X14,X3,X12)
& surjective(X1,X2,X3)
& equal_maps(compose_function(X9,X1,X2,X3,X12),compose_function(X14,X1,X2,X3,X12),X2,X12) )
=> equal_maps(X9,X14,X3,X12) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(9,plain,
! [X1,X2,X3] :
( ( ~ surjective(X1,X2,X3)
| ! [X4] :
( ~ member(X4,X3)
| ? [X5] :
( member(X5,X2)
& apply(X1,X5,X4) ) ) )
& ( ? [X4] :
( member(X4,X3)
& ! [X5] :
( ~ member(X5,X2)
| ~ apply(X1,X5,X4) ) )
| surjective(X1,X2,X3) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(10,plain,
! [X6,X7,X8] :
( ( ~ surjective(X6,X7,X8)
| ! [X9] :
( ~ member(X9,X8)
| ? [X10] :
( member(X10,X7)
& apply(X6,X10,X9) ) ) )
& ( ? [X11] :
( member(X11,X8)
& ! [X12] :
( ~ member(X12,X7)
| ~ apply(X6,X12,X11) ) )
| surjective(X6,X7,X8) ) ),
inference(variable_rename,[status(thm)],[9]) ).
fof(11,plain,
! [X6,X7,X8] :
( ( ~ surjective(X6,X7,X8)
| ! [X9] :
( ~ member(X9,X8)
| ( member(esk1_4(X6,X7,X8,X9),X7)
& apply(X6,esk1_4(X6,X7,X8,X9),X9) ) ) )
& ( ( member(esk2_3(X6,X7,X8),X8)
& ! [X12] :
( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8)) ) )
| surjective(X6,X7,X8) ) ),
inference(skolemize,[status(esa)],[10]) ).
fof(12,plain,
! [X6,X7,X8,X9,X12] :
( ( ( ( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8)) )
& member(esk2_3(X6,X7,X8),X8) )
| surjective(X6,X7,X8) )
& ( ~ member(X9,X8)
| ( member(esk1_4(X6,X7,X8,X9),X7)
& apply(X6,esk1_4(X6,X7,X8,X9),X9) )
| ~ surjective(X6,X7,X8) ) ),
inference(shift_quantors,[status(thm)],[11]) ).
fof(13,plain,
! [X6,X7,X8,X9,X12] :
( ( ~ member(X12,X7)
| ~ apply(X6,X12,esk2_3(X6,X7,X8))
| surjective(X6,X7,X8) )
& ( member(esk2_3(X6,X7,X8),X8)
| surjective(X6,X7,X8) )
& ( member(esk1_4(X6,X7,X8,X9),X7)
| ~ member(X9,X8)
| ~ surjective(X6,X7,X8) )
& ( apply(X6,esk1_4(X6,X7,X8,X9),X9)
| ~ member(X9,X8)
| ~ surjective(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( apply(X1,esk1_4(X1,X2,X3,X4),X4)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(15,plain,
( member(esk1_4(X1,X2,X3,X4),X2)
| ~ surjective(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
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]) ).
cnf(55,plain,
( X5 = X6
| ~ equal_maps(X1,X2,X3,X4)
| ~ apply(X2,X7,X6)
| ~ apply(X1,X7,X5)
| ~ member(X6,X4)
| ~ member(X5,X4)
| ~ member(X7,X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(68,plain,
! [X9,X1,X2,X3,X12,X6,X13] :
( ~ member(X6,X2)
| ~ member(X13,X12)
| ( ( ~ apply(compose_function(X9,X1,X2,X3,X12),X6,X13)
| ? [X4] :
( member(X4,X3)
& apply(X1,X6,X4)
& apply(X9,X4,X13) ) )
& ( ! [X4] :
( ~ member(X4,X3)
| ~ apply(X1,X6,X4)
| ~ apply(X9,X4,X13) )
| apply(compose_function(X9,X1,X2,X3,X12),X6,X13) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(69,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( ~ member(X19,X16)
| ~ member(X20,X18)
| ( ( ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ? [X21] :
( member(X21,X17)
& apply(X15,X19,X21)
& apply(X14,X21,X20) ) )
& ( ! [X22] :
( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20) )
| apply(compose_function(X14,X15,X16,X17,X18),X19,X20) ) ) ),
inference(variable_rename,[status(thm)],[68]) ).
fof(70,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( ~ member(X19,X16)
| ~ member(X20,X18)
| ( ( ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ( member(esk14_7(X14,X15,X16,X17,X18,X19,X20),X17)
& apply(X15,X19,esk14_7(X14,X15,X16,X17,X18,X19,X20))
& apply(X14,esk14_7(X14,X15,X16,X17,X18,X19,X20),X20) ) )
& ( ! [X22] :
( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20) )
| apply(compose_function(X14,X15,X16,X17,X18),X19,X20) ) ) ),
inference(skolemize,[status(esa)],[69]) ).
fof(71,plain,
! [X14,X15,X16,X17,X18,X19,X20,X22] :
( ( ( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20)
| apply(compose_function(X14,X15,X16,X17,X18),X19,X20) )
& ( ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ( member(esk14_7(X14,X15,X16,X17,X18,X19,X20),X17)
& apply(X15,X19,esk14_7(X14,X15,X16,X17,X18,X19,X20))
& apply(X14,esk14_7(X14,X15,X16,X17,X18,X19,X20),X20) ) ) )
| ~ member(X19,X16)
| ~ member(X20,X18) ),
inference(shift_quantors,[status(thm)],[70]) ).
fof(72,plain,
! [X14,X15,X16,X17,X18,X19,X20,X22] :
( ( ~ member(X22,X17)
| ~ apply(X15,X19,X22)
| ~ apply(X14,X22,X20)
| apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18) )
& ( member(esk14_7(X14,X15,X16,X17,X18,X19,X20),X17)
| ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18) )
& ( apply(X15,X19,esk14_7(X14,X15,X16,X17,X18,X19,X20))
| ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18) )
& ( apply(X14,esk14_7(X14,X15,X16,X17,X18,X19,X20),X20)
| ~ apply(compose_function(X14,X15,X16,X17,X18),X19,X20)
| ~ member(X19,X16)
| ~ member(X20,X18) ) ),
inference(distribute,[status(thm)],[71]) ).
cnf(76,plain,
( apply(compose_function(X5,X6,X4,X7,X2),X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(X5,X8,X1)
| ~ apply(X6,X3,X8)
| ~ member(X8,X7) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(77,negated_conjecture,
? [X1,X9,X14,X2,X3,X12] :
( maps(X1,X2,X3)
& maps(X9,X3,X12)
& maps(X14,X3,X12)
& surjective(X1,X2,X3)
& equal_maps(compose_function(X9,X1,X2,X3,X12),compose_function(X14,X1,X2,X3,X12),X2,X12)
& ~ equal_maps(X9,X14,X3,X12) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(78,negated_conjecture,
? [X15,X16,X17,X18,X19,X20] :
( maps(X15,X18,X19)
& maps(X16,X19,X20)
& maps(X17,X19,X20)
& surjective(X15,X18,X19)
& equal_maps(compose_function(X16,X15,X18,X19,X20),compose_function(X17,X15,X18,X19,X20),X18,X20)
& ~ equal_maps(X16,X17,X19,X20) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,negated_conjecture,
( maps(esk15_0,esk18_0,esk19_0)
& maps(esk16_0,esk19_0,esk20_0)
& maps(esk17_0,esk19_0,esk20_0)
& surjective(esk15_0,esk18_0,esk19_0)
& equal_maps(compose_function(esk16_0,esk15_0,esk18_0,esk19_0,esk20_0),compose_function(esk17_0,esk15_0,esk18_0,esk19_0,esk20_0),esk18_0,esk20_0)
& ~ equal_maps(esk16_0,esk17_0,esk19_0,esk20_0) ),
inference(skolemize,[status(esa)],[78]) ).
cnf(80,negated_conjecture,
~ equal_maps(esk16_0,esk17_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(81,negated_conjecture,
equal_maps(compose_function(esk16_0,esk15_0,esk18_0,esk19_0,esk20_0),compose_function(esk17_0,esk15_0,esk18_0,esk19_0,esk20_0),esk18_0,esk20_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(82,negated_conjecture,
surjective(esk15_0,esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(96,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk17_0,esk15_0,esk18_0,esk19_0,esk20_0),X3,X2)
| ~ apply(compose_function(esk16_0,esk15_0,esk18_0,esk19_0,esk20_0),X3,X1)
| ~ member(X3,esk18_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[55,81,theory(equality)]) ).
cnf(100,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk1_4(X2,X6,X7,X8),X9)
| ~ apply(X1,X8,X9)
| ~ member(X8,X4)
| ~ member(esk1_4(X2,X6,X7,X8),X3)
| ~ member(X9,X5)
| ~ member(X8,X7)
| ~ surjective(X2,X6,X7) ),
inference(spm,[status(thm)],[76,14,theory(equality)]) ).
cnf(263,negated_conjecture,
( X1 = X2
| ~ apply(compose_function(esk16_0,esk15_0,esk18_0,esk19_0,esk20_0),esk1_4(esk15_0,X3,X4,X5),X1)
| ~ member(esk1_4(esk15_0,X3,X4,X5),esk18_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ apply(esk17_0,X5,X2)
| ~ member(X5,esk19_0)
| ~ member(X5,X4)
| ~ surjective(esk15_0,X3,X4) ),
inference(spm,[status(thm)],[96,100,theory(equality)]) ).
cnf(746,negated_conjecture,
( X1 = X2
| ~ apply(esk17_0,X5,X2)
| ~ member(esk1_4(esk15_0,X3,X4,X5),esk18_0)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X5,esk19_0)
| ~ member(X5,X4)
| ~ surjective(esk15_0,X3,X4)
| ~ apply(esk16_0,X5,X1) ),
inference(spm,[status(thm)],[263,100,theory(equality)]) ).
cnf(747,negated_conjecture,
( X1 = X2
| ~ apply(esk17_0,X3,X2)
| ~ apply(esk16_0,X3,X1)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X3,esk19_0)
| ~ member(X3,X4)
| ~ surjective(esk15_0,esk18_0,X4) ),
inference(spm,[status(thm)],[746,15,theory(equality)]) ).
cnf(748,negated_conjecture,
( X1 = X2
| ~ apply(esk17_0,X3,X2)
| ~ apply(esk16_0,X3,X1)
| ~ member(X2,esk20_0)
| ~ member(X1,esk20_0)
| ~ member(X3,esk19_0) ),
inference(spm,[status(thm)],[747,82,theory(equality)]) ).
cnf(754,negated_conjecture,
( X1 = esk10_4(X2,esk17_0,X3,X4)
| equal_maps(X2,esk17_0,X3,X4)
| ~ apply(esk16_0,esk8_4(X2,esk17_0,X3,X4),X1)
| ~ member(esk10_4(X2,esk17_0,X3,X4),esk20_0)
| ~ member(X1,esk20_0)
| ~ member(esk8_4(X2,esk17_0,X3,X4),esk19_0) ),
inference(spm,[status(thm)],[748,50,theory(equality)]) ).
cnf(785,negated_conjecture,
( esk9_4(esk16_0,esk17_0,X1,X2) = esk10_4(esk16_0,esk17_0,X1,X2)
| equal_maps(esk16_0,esk17_0,X1,X2)
| ~ member(esk10_4(esk16_0,esk17_0,X1,X2),esk20_0)
| ~ member(esk8_4(esk16_0,esk17_0,X1,X2),esk19_0)
| ~ member(esk9_4(esk16_0,esk17_0,X1,X2),esk20_0) ),
inference(spm,[status(thm)],[754,51,theory(equality)]) ).
cnf(798,negated_conjecture,
( equal_maps(esk16_0,esk17_0,X1,X2)
| ~ member(esk10_4(esk16_0,esk17_0,X1,X2),esk20_0)
| ~ member(esk8_4(esk16_0,esk17_0,X1,X2),esk19_0)
| ~ member(esk9_4(esk16_0,esk17_0,X1,X2),esk20_0) ),
inference(csr,[status(thm)],[785,49]) ).
cnf(799,negated_conjecture,
( equal_maps(esk16_0,esk17_0,X1,esk20_0)
| ~ member(esk8_4(esk16_0,esk17_0,X1,esk20_0),esk19_0)
| ~ member(esk9_4(esk16_0,esk17_0,X1,esk20_0),esk20_0) ),
inference(spm,[status(thm)],[798,52,theory(equality)]) ).
cnf(800,negated_conjecture,
( equal_maps(esk16_0,esk17_0,X1,esk20_0)
| ~ member(esk8_4(esk16_0,esk17_0,X1,esk20_0),esk19_0) ),
inference(csr,[status(thm)],[799,53]) ).
cnf(801,negated_conjecture,
equal_maps(esk16_0,esk17_0,esk19_0,esk20_0),
inference(spm,[status(thm)],[800,54,theory(equality)]) ).
cnf(802,negated_conjecture,
$false,
inference(sr,[status(thm)],[801,80,theory(equality)]) ).
cnf(803,negated_conjecture,
$false,
802,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET724+4.p
% --creating new selector for [SET006+0.ax, SET006+1.ax]
% -running prover on /tmp/tmp1tdmFp/sel_SET724+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET724+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET724+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET724+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
%
%------------------------------------------------------------------------------