TSTP Solution File: SET766+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET766+4 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 03:39:40 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 407 ( 0 equ)
% Maximal formula atoms : 207 ( 11 avg)
% Number of connectives : 511 ( 138 ~; 230 |; 127 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 112 ( 0 sgn 84 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equivalence(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
file('/tmp/tmpkmlvOB/sel_SET766+4.p_1',equivalence) ).
fof(2,axiom,
! [X2,X6,X1,X3] :
( member(X3,equivalence_class(X1,X6,X2))
<=> ( member(X3,X6)
& apply(X2,X1,X3) ) ),
file('/tmp/tmpkmlvOB/sel_SET766+4.p_1',equivalence_class) ).
fof(3,conjecture,
! [X6,X2,X1] :
( ( equivalence(X2,X6)
& member(X1,X6) )
=> member(X1,equivalence_class(X1,X6,X2)) ),
file('/tmp/tmpkmlvOB/sel_SET766+4.p_1',thIII02) ).
fof(4,negated_conjecture,
~ ! [X6,X2,X1] :
( ( equivalence(X2,X6)
& member(X1,X6) )
=> member(X1,equivalence_class(X1,X6,X2)) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
introduced(definition) ).
fof(6,plain,
! [X1,X2] :
( equivalence(X2,X1)
<=> epred1_2(X2,X1) ),
inference(apply_def,[status(esa)],[1,5,theory(equality)]) ).
fof(7,plain,
! [X1,X2] :
( ( ~ equivalence(X2,X1)
| epred1_2(X2,X1) )
& ( ~ epred1_2(X2,X1)
| equivalence(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(8,plain,
! [X3,X4] :
( ( ~ equivalence(X4,X3)
| epred1_2(X4,X3) )
& ( ~ epred1_2(X4,X3)
| equivalence(X4,X3) ) ),
inference(variable_rename,[status(thm)],[7]) ).
cnf(10,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[8]) ).
fof(11,plain,
! [X2,X6,X1,X3] :
( ( ~ member(X3,equivalence_class(X1,X6,X2))
| ( member(X3,X6)
& apply(X2,X1,X3) ) )
& ( ~ member(X3,X6)
| ~ apply(X2,X1,X3)
| member(X3,equivalence_class(X1,X6,X2)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(12,plain,
! [X7,X8,X9,X10] :
( ( ~ member(X10,equivalence_class(X9,X8,X7))
| ( member(X10,X8)
& apply(X7,X9,X10) ) )
& ( ~ member(X10,X8)
| ~ apply(X7,X9,X10)
| member(X10,equivalence_class(X9,X8,X7)) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(13,plain,
! [X7,X8,X9,X10] :
( ( member(X10,X8)
| ~ member(X10,equivalence_class(X9,X8,X7)) )
& ( apply(X7,X9,X10)
| ~ member(X10,equivalence_class(X9,X8,X7)) )
& ( ~ member(X10,X8)
| ~ apply(X7,X9,X10)
| member(X10,equivalence_class(X9,X8,X7)) ) ),
inference(distribute,[status(thm)],[12]) ).
cnf(14,plain,
( member(X1,equivalence_class(X2,X3,X4))
| ~ apply(X4,X2,X1)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[13]) ).
fof(17,negated_conjecture,
? [X6,X2,X1] :
( equivalence(X2,X6)
& member(X1,X6)
& ~ member(X1,equivalence_class(X1,X6,X2)) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(18,negated_conjecture,
? [X7,X8,X9] :
( equivalence(X8,X7)
& member(X9,X7)
& ~ member(X9,equivalence_class(X9,X7,X8)) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,negated_conjecture,
( equivalence(esk2_0,esk1_0)
& member(esk3_0,esk1_0)
& ~ member(esk3_0,equivalence_class(esk3_0,esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[18]) ).
cnf(20,negated_conjecture,
~ member(esk3_0,equivalence_class(esk3_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(21,negated_conjecture,
member(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(22,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[19]) ).
fof(23,plain,
! [X1,X2] :
( ( ~ epred1_2(X2,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| apply(X2,X3,X3) )
& ! [X3,X4] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ apply(X2,X3,X4)
| apply(X2,X4,X3) )
& ! [X3,X4,X5] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X2,X3,X4)
| ~ apply(X2,X4,X5)
| apply(X2,X3,X5) ) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ apply(X2,X3,X3) )
| ? [X3,X4] :
( member(X3,X1)
& member(X4,X1)
& apply(X2,X3,X4)
& ~ apply(X2,X4,X3) )
| ? [X3,X4,X5] :
( member(X3,X1)
& member(X4,X1)
& member(X5,X1)
& apply(X2,X3,X4)
& apply(X2,X4,X5)
& ~ apply(X2,X3,X5) )
| epred1_2(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(24,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ? [X14] :
( member(X14,X6)
& ~ apply(X7,X14,X14) )
| ? [X15,X16] :
( member(X15,X6)
& member(X16,X6)
& apply(X7,X15,X16)
& ~ apply(X7,X16,X15) )
| ? [X17,X18,X19] :
( member(X17,X6)
& member(X18,X6)
& member(X19,X6)
& apply(X7,X17,X18)
& apply(X7,X18,X19)
& ~ apply(X7,X17,X19) )
| epred1_2(X7,X6) ) ),
inference(variable_rename,[status(thm)],[23]) ).
fof(25,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ( member(esk4_2(X6,X7),X6)
& ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7)) )
| ( member(esk5_2(X6,X7),X6)
& member(esk6_2(X6,X7),X6)
& apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
& ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7)) )
| ( member(esk7_2(X6,X7),X6)
& member(esk8_2(X6,X7),X6)
& member(esk9_2(X6,X7),X6)
& apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
& apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
& ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(skolemize,[status(esa)],[24]) ).
fof(26,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8) ) )
| ~ epred1_2(X7,X6) )
& ( ( member(esk4_2(X6,X7),X6)
& ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7)) )
| ( member(esk5_2(X6,X7),X6)
& member(esk6_2(X6,X7),X6)
& apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
& ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7)) )
| ( member(esk7_2(X6,X7),X6)
& member(esk8_2(X6,X7),X6)
& member(esk9_2(X6,X7),X6)
& apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
& apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
& ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(shift_quantors,[status(thm)],[25]) ).
fof(27,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13)
| ~ epred1_2(X7,X6) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9)
| ~ epred1_2(X7,X6) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8)
| ~ epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| member(esk4_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk5_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk7_2(X6,X7),esk8_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk7_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk6_2(X6,X7),esk5_2(X6,X7))
| ~ apply(X7,esk4_2(X6,X7),esk4_2(X6,X7))
| epred1_2(X7,X6) ) ),
inference(distribute,[status(thm)],[26]) ).
cnf(76,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(79,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[10,22,theory(equality)]) ).
cnf(83,negated_conjecture,
( ~ apply(esk2_0,esk3_0,esk3_0)
| ~ member(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[20,14,theory(equality)]) ).
cnf(86,negated_conjecture,
( ~ apply(esk2_0,esk3_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[83,21,theory(equality)]) ).
cnf(87,negated_conjecture,
~ apply(esk2_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[86,theory(equality)]) ).
cnf(142,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[76,79,theory(equality)]) ).
cnf(151,negated_conjecture,
~ member(esk3_0,esk1_0),
inference(spm,[status(thm)],[87,142,theory(equality)]) ).
cnf(152,negated_conjecture,
$false,
inference(rw,[status(thm)],[151,21,theory(equality)]) ).
cnf(153,negated_conjecture,
$false,
inference(cn,[status(thm)],[152,theory(equality)]) ).
cnf(154,negated_conjecture,
$false,
153,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET766+4.p
% --creating new selector for [SET006+0.ax, SET006+2.ax]
% -running prover on /tmp/tmpkmlvOB/sel_SET766+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET766+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET766+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET766+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
%
%------------------------------------------------------------------------------