TSTP Solution File: SET774+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET774+4 : TPTP v5.0.0. Released v2.2.0.
% 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 03:38:12 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 75 ( 7 unt; 0 def)
% Number of atoms : 373 ( 0 equ)
% Maximal formula atoms : 46 ( 4 avg)
% Number of connectives : 469 ( 171 ~; 223 |; 67 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 60 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmptFLmt0/sel_SET774+4.p_1',subset) ).
fof(2,axiom,
! [X4,X5] :
( pre_order(X4,X5)
<=> ( ! [X3] :
( member(X3,X5)
=> apply(X4,X3,X3) )
& ! [X3,X6,X7] :
( ( member(X3,X5)
& member(X6,X5)
& member(X7,X5) )
=> ( ( apply(X4,X3,X6)
& apply(X4,X6,X7) )
=> apply(X4,X3,X7) ) ) ) ),
file('/tmp/tmptFLmt0/sel_SET774+4.p_1',pre_order) ).
fof(3,conjecture,
! [X5,X3,X4] :
( ( pre_order(X4,X5)
& subset(X3,X5) )
=> pre_order(X4,X3) ),
file('/tmp/tmptFLmt0/sel_SET774+4.p_1',thIII10) ).
fof(4,negated_conjecture,
~ ! [X5,X3,X4] :
( ( pre_order(X4,X5)
& subset(X3,X5) )
=> pre_order(X4,X3) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(6,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( member(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[8]) ).
cnf(12,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(13,plain,
! [X4,X5] :
( ( ~ pre_order(X4,X5)
| ( ! [X3] :
( ~ member(X3,X5)
| apply(X4,X3,X3) )
& ! [X3,X6,X7] :
( ~ member(X3,X5)
| ~ member(X6,X5)
| ~ member(X7,X5)
| ~ apply(X4,X3,X6)
| ~ apply(X4,X6,X7)
| apply(X4,X3,X7) ) ) )
& ( ? [X3] :
( member(X3,X5)
& ~ apply(X4,X3,X3) )
| ? [X3,X6,X7] :
( member(X3,X5)
& member(X6,X5)
& member(X7,X5)
& apply(X4,X3,X6)
& apply(X4,X6,X7)
& ~ apply(X4,X3,X7) )
| pre_order(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(14,plain,
! [X8,X9] :
( ( ~ pre_order(X8,X9)
| ( ! [X10] :
( ~ member(X10,X9)
| apply(X8,X10,X10) )
& ! [X11,X12,X13] :
( ~ member(X11,X9)
| ~ member(X12,X9)
| ~ member(X13,X9)
| ~ apply(X8,X11,X12)
| ~ apply(X8,X12,X13)
| apply(X8,X11,X13) ) ) )
& ( ? [X14] :
( member(X14,X9)
& ~ apply(X8,X14,X14) )
| ? [X15,X16,X17] :
( member(X15,X9)
& member(X16,X9)
& member(X17,X9)
& apply(X8,X15,X16)
& apply(X8,X16,X17)
& ~ apply(X8,X15,X17) )
| pre_order(X8,X9) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(15,plain,
! [X8,X9] :
( ( ~ pre_order(X8,X9)
| ( ! [X10] :
( ~ member(X10,X9)
| apply(X8,X10,X10) )
& ! [X11,X12,X13] :
( ~ member(X11,X9)
| ~ member(X12,X9)
| ~ member(X13,X9)
| ~ apply(X8,X11,X12)
| ~ apply(X8,X12,X13)
| apply(X8,X11,X13) ) ) )
& ( ( member(esk2_2(X8,X9),X9)
& ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9)) )
| ( member(esk3_2(X8,X9),X9)
& member(esk4_2(X8,X9),X9)
& member(esk5_2(X8,X9),X9)
& apply(X8,esk3_2(X8,X9),esk4_2(X8,X9))
& apply(X8,esk4_2(X8,X9),esk5_2(X8,X9))
& ~ apply(X8,esk3_2(X8,X9),esk5_2(X8,X9)) )
| pre_order(X8,X9) ) ),
inference(skolemize,[status(esa)],[14]) ).
fof(16,plain,
! [X8,X9,X10,X11,X12,X13] :
( ( ( ( ~ member(X11,X9)
| ~ member(X12,X9)
| ~ member(X13,X9)
| ~ apply(X8,X11,X12)
| ~ apply(X8,X12,X13)
| apply(X8,X11,X13) )
& ( ~ member(X10,X9)
| apply(X8,X10,X10) ) )
| ~ pre_order(X8,X9) )
& ( ( member(esk2_2(X8,X9),X9)
& ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9)) )
| ( member(esk3_2(X8,X9),X9)
& member(esk4_2(X8,X9),X9)
& member(esk5_2(X8,X9),X9)
& apply(X8,esk3_2(X8,X9),esk4_2(X8,X9))
& apply(X8,esk4_2(X8,X9),esk5_2(X8,X9))
& ~ apply(X8,esk3_2(X8,X9),esk5_2(X8,X9)) )
| pre_order(X8,X9) ) ),
inference(shift_quantors,[status(thm)],[15]) ).
fof(17,plain,
! [X8,X9,X10,X11,X12,X13] :
( ( ~ member(X11,X9)
| ~ member(X12,X9)
| ~ member(X13,X9)
| ~ apply(X8,X11,X12)
| ~ apply(X8,X12,X13)
| apply(X8,X11,X13)
| ~ pre_order(X8,X9) )
& ( ~ member(X10,X9)
| apply(X8,X10,X10)
| ~ pre_order(X8,X9) )
& ( member(esk3_2(X8,X9),X9)
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk4_2(X8,X9),X9)
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk5_2(X8,X9),X9)
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( apply(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( apply(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( ~ apply(X8,esk3_2(X8,X9),esk5_2(X8,X9))
| member(esk2_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk3_2(X8,X9),X9)
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) )
& ( member(esk4_2(X8,X9),X9)
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) )
& ( member(esk5_2(X8,X9),X9)
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) )
& ( apply(X8,esk3_2(X8,X9),esk4_2(X8,X9))
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) )
& ( apply(X8,esk4_2(X8,X9),esk5_2(X8,X9))
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) )
& ( ~ apply(X8,esk3_2(X8,X9),esk5_2(X8,X9))
| ~ apply(X8,esk2_2(X8,X9),esk2_2(X8,X9))
| pre_order(X8,X9) ) ),
inference(distribute,[status(thm)],[16]) ).
cnf(18,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2))
| ~ apply(X1,esk3_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(19,plain,
( pre_order(X1,X2)
| apply(X1,esk4_2(X1,X2),esk5_2(X1,X2))
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(20,plain,
( pre_order(X1,X2)
| apply(X1,esk3_2(X1,X2),esk4_2(X1,X2))
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(21,plain,
( pre_order(X1,X2)
| member(esk5_2(X1,X2),X2)
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(22,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(23,plain,
( pre_order(X1,X2)
| member(esk3_2(X1,X2),X2)
| ~ apply(X1,esk2_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(24,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| ~ apply(X1,esk3_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(25,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| apply(X1,esk4_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(26,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| apply(X1,esk3_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(27,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(28,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(29,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(30,plain,
( apply(X1,X3,X3)
| ~ pre_order(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(31,plain,
( apply(X1,X3,X4)
| ~ pre_order(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(32,negated_conjecture,
? [X5,X3,X4] :
( pre_order(X4,X5)
& subset(X3,X5)
& ~ pre_order(X4,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(33,negated_conjecture,
? [X6,X7,X8] :
( pre_order(X8,X6)
& subset(X7,X6)
& ~ pre_order(X8,X7) ),
inference(variable_rename,[status(thm)],[32]) ).
fof(34,negated_conjecture,
( pre_order(esk8_0,esk6_0)
& subset(esk7_0,esk6_0)
& ~ pre_order(esk8_0,esk7_0) ),
inference(skolemize,[status(esa)],[33]) ).
cnf(35,negated_conjecture,
~ pre_order(esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,negated_conjecture,
subset(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(37,negated_conjecture,
pre_order(esk8_0,esk6_0),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(39,negated_conjecture,
( member(X1,esk6_0)
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[12,36,theory(equality)]) ).
cnf(40,negated_conjecture,
( apply(esk8_0,X1,X1)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[30,37,theory(equality)]) ).
cnf(42,plain,
( apply(X1,X2,esk5_2(X1,X3))
| pre_order(X1,X3)
| member(esk2_2(X1,X3),X3)
| ~ apply(X1,X2,esk4_2(X1,X3))
| ~ pre_order(X1,X4)
| ~ member(esk4_2(X1,X3),X4)
| ~ member(esk5_2(X1,X3),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[31,25,theory(equality)]) ).
cnf(44,plain,
( apply(X1,X2,esk5_2(X1,X3))
| pre_order(X1,X3)
| ~ apply(X1,X2,esk4_2(X1,X3))
| ~ pre_order(X1,X4)
| ~ member(esk4_2(X1,X3),X4)
| ~ member(esk5_2(X1,X3),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk2_2(X1,X3),esk2_2(X1,X3)) ),
inference(spm,[status(thm)],[31,19,theory(equality)]) ).
cnf(47,negated_conjecture,
( member(esk3_2(X1,esk7_0),esk6_0)
| pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0) ),
inference(spm,[status(thm)],[39,29,theory(equality)]) ).
cnf(48,negated_conjecture,
( member(esk4_2(X1,esk7_0),esk6_0)
| pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0) ),
inference(spm,[status(thm)],[39,28,theory(equality)]) ).
cnf(49,negated_conjecture,
( member(esk5_2(X1,esk7_0),esk6_0)
| pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0) ),
inference(spm,[status(thm)],[39,27,theory(equality)]) ).
cnf(52,negated_conjecture,
( pre_order(esk8_0,X1)
| member(esk3_2(esk8_0,X1),X1)
| ~ member(esk2_2(esk8_0,X1),esk6_0) ),
inference(spm,[status(thm)],[23,40,theory(equality)]) ).
cnf(53,negated_conjecture,
( pre_order(esk8_0,X1)
| member(esk4_2(esk8_0,X1),X1)
| ~ member(esk2_2(esk8_0,X1),esk6_0) ),
inference(spm,[status(thm)],[22,40,theory(equality)]) ).
cnf(54,negated_conjecture,
( pre_order(esk8_0,X1)
| member(esk5_2(esk8_0,X1),X1)
| ~ member(esk2_2(esk8_0,X1),esk6_0) ),
inference(spm,[status(thm)],[21,40,theory(equality)]) ).
cnf(58,negated_conjecture,
( member(esk3_2(esk8_0,esk7_0),esk6_0)
| pre_order(esk8_0,esk7_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[39,52,theory(equality)]) ).
cnf(59,negated_conjecture,
( member(esk3_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(sr,[status(thm)],[58,35,theory(equality)]) ).
cnf(60,negated_conjecture,
( member(esk4_2(esk8_0,esk7_0),esk6_0)
| pre_order(esk8_0,esk7_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[39,53,theory(equality)]) ).
cnf(62,negated_conjecture,
( member(esk4_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(sr,[status(thm)],[60,35,theory(equality)]) ).
cnf(67,negated_conjecture,
( member(esk5_2(esk8_0,esk7_0),esk6_0)
| pre_order(esk8_0,esk7_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[39,54,theory(equality)]) ).
cnf(68,negated_conjecture,
( member(esk5_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(sr,[status(thm)],[67,35,theory(equality)]) ).
cnf(72,negated_conjecture,
( apply(X1,X2,esk5_2(X1,esk7_0))
| pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0)
| ~ apply(X1,X2,esk4_2(X1,esk7_0))
| ~ pre_order(X1,esk6_0)
| ~ member(esk4_2(X1,esk7_0),esk6_0)
| ~ member(X2,esk6_0) ),
inference(spm,[status(thm)],[42,49,theory(equality)]) ).
cnf(93,negated_conjecture,
( apply(X1,X2,esk5_2(X1,esk7_0))
| pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0)
| ~ apply(X1,X2,esk4_2(X1,esk7_0))
| ~ pre_order(X1,esk6_0)
| ~ member(X2,esk6_0) ),
inference(csr,[status(thm)],[72,48]) ).
cnf(94,negated_conjecture,
( pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0)
| ~ apply(X1,esk3_2(X1,esk7_0),esk4_2(X1,esk7_0))
| ~ pre_order(X1,esk6_0)
| ~ member(esk3_2(X1,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[24,93,theory(equality)]) ).
cnf(97,negated_conjecture,
( pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0)
| ~ apply(X1,esk3_2(X1,esk7_0),esk4_2(X1,esk7_0))
| ~ pre_order(X1,esk6_0) ),
inference(csr,[status(thm)],[94,47]) ).
cnf(98,negated_conjecture,
( pre_order(X1,esk7_0)
| member(esk2_2(X1,esk7_0),esk7_0)
| ~ pre_order(X1,esk6_0) ),
inference(csr,[status(thm)],[97,26]) ).
cnf(99,negated_conjecture,
( member(esk2_2(X1,esk7_0),esk6_0)
| pre_order(X1,esk7_0)
| ~ pre_order(X1,esk6_0) ),
inference(spm,[status(thm)],[39,98,theory(equality)]) ).
cnf(101,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,X2))
| pre_order(esk8_0,X2)
| ~ apply(esk8_0,X1,esk4_2(esk8_0,X2))
| ~ pre_order(esk8_0,X3)
| ~ member(esk4_2(esk8_0,X2),X3)
| ~ member(esk5_2(esk8_0,X2),X3)
| ~ member(X1,X3)
| ~ member(esk2_2(esk8_0,X2),esk6_0) ),
inference(spm,[status(thm)],[44,40,theory(equality)]) ).
cnf(122,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,esk7_0))
| pre_order(esk8_0,esk7_0)
| ~ apply(esk8_0,X1,esk4_2(esk8_0,esk7_0))
| ~ pre_order(esk8_0,esk6_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk4_2(esk8_0,esk7_0),esk6_0)
| ~ member(X1,esk6_0) ),
inference(spm,[status(thm)],[101,68,theory(equality)]) ).
cnf(126,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,esk7_0))
| pre_order(esk8_0,esk7_0)
| ~ apply(esk8_0,X1,esk4_2(esk8_0,esk7_0))
| $false
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk4_2(esk8_0,esk7_0),esk6_0)
| ~ member(X1,esk6_0) ),
inference(rw,[status(thm)],[122,37,theory(equality)]) ).
cnf(127,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,esk7_0))
| pre_order(esk8_0,esk7_0)
| ~ apply(esk8_0,X1,esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk4_2(esk8_0,esk7_0),esk6_0)
| ~ member(X1,esk6_0) ),
inference(cn,[status(thm)],[126,theory(equality)]) ).
cnf(128,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,esk7_0))
| ~ apply(esk8_0,X1,esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk4_2(esk8_0,esk7_0),esk6_0)
| ~ member(X1,esk6_0) ),
inference(sr,[status(thm)],[127,35,theory(equality)]) ).
cnf(129,negated_conjecture,
( apply(esk8_0,X1,esk5_2(esk8_0,esk7_0))
| ~ apply(esk8_0,X1,esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(X1,esk6_0) ),
inference(csr,[status(thm)],[128,62]) ).
cnf(131,negated_conjecture,
( pre_order(esk8_0,esk7_0)
| ~ apply(esk8_0,esk2_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ apply(esk8_0,esk3_2(esk8_0,esk7_0),esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk3_2(esk8_0,esk7_0),esk6_0) ),
inference(spm,[status(thm)],[18,129,theory(equality)]) ).
cnf(134,negated_conjecture,
( ~ apply(esk8_0,esk2_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ apply(esk8_0,esk3_2(esk8_0,esk7_0),esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ member(esk3_2(esk8_0,esk7_0),esk6_0) ),
inference(sr,[status(thm)],[131,35,theory(equality)]) ).
cnf(137,negated_conjecture,
( ~ apply(esk8_0,esk2_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0))
| ~ apply(esk8_0,esk3_2(esk8_0,esk7_0),esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(csr,[status(thm)],[134,59]) ).
cnf(138,negated_conjecture,
( ~ apply(esk8_0,esk3_2(esk8_0,esk7_0),esk4_2(esk8_0,esk7_0))
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0) ),
inference(csr,[status(thm)],[137,40]) ).
cnf(140,negated_conjecture,
( pre_order(esk8_0,esk7_0)
| ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ apply(esk8_0,esk2_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0)) ),
inference(spm,[status(thm)],[138,20,theory(equality)]) ).
cnf(143,negated_conjecture,
( ~ member(esk2_2(esk8_0,esk7_0),esk6_0)
| ~ apply(esk8_0,esk2_2(esk8_0,esk7_0),esk2_2(esk8_0,esk7_0)) ),
inference(sr,[status(thm)],[140,35,theory(equality)]) ).
cnf(154,negated_conjecture,
~ member(esk2_2(esk8_0,esk7_0),esk6_0),
inference(csr,[status(thm)],[143,40]) ).
cnf(155,negated_conjecture,
( pre_order(esk8_0,esk7_0)
| ~ pre_order(esk8_0,esk6_0) ),
inference(spm,[status(thm)],[154,99,theory(equality)]) ).
cnf(156,negated_conjecture,
( pre_order(esk8_0,esk7_0)
| $false ),
inference(rw,[status(thm)],[155,37,theory(equality)]) ).
cnf(157,negated_conjecture,
pre_order(esk8_0,esk7_0),
inference(cn,[status(thm)],[156,theory(equality)]) ).
cnf(158,negated_conjecture,
$false,
inference(sr,[status(thm)],[157,35,theory(equality)]) ).
cnf(159,negated_conjecture,
$false,
158,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET774+4.p
% --creating new selector for [SET006+0.ax, SET006+2.ax]
% -running prover on /tmp/tmptFLmt0/sel_SET774+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET774+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET774+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET774+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
%
%------------------------------------------------------------------------------