TSTP Solution File: SET765+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET765+4 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 03:35:04 EST 2010
% Result : Theorem 0.43s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 125
% Number of leaves : 4
% Syntax : Number of formulae : 432 ( 19 unt; 0 def)
% Number of atoms : 2303 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 2903 (1032 ~;1724 |; 130 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 430 ( 0 sgn 86 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmp0s8kT6/sel_SET765+4.p_1',subset) ).
fof(2,axiom,
! [X1,X4] :
( equivalence(X4,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X4,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X4,X3,X5)
=> apply(X4,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X4,X3,X5)
& apply(X4,X5,X6) )
=> apply(X4,X3,X6) ) ) ) ),
file('/tmp/tmp0s8kT6/sel_SET765+4.p_1',equivalence) ).
fof(3,conjecture,
! [X7,X4,X3] :
( ( equivalence(X4,X7)
& subset(X3,X7) )
=> equivalence(X4,X3) ),
file('/tmp/tmp0s8kT6/sel_SET765+4.p_1',thIII01) ).
fof(4,negated_conjecture,
~ ! [X7,X4,X3] :
( ( equivalence(X4,X7)
& subset(X3,X7) )
=> equivalence(X4,X3) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1,X4] :
( epred1_2(X4,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X4,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X4,X3,X5)
=> apply(X4,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X4,X3,X5)
& apply(X4,X5,X6) )
=> apply(X4,X3,X6) ) ) ) ),
introduced(definition) ).
fof(6,plain,
! [X1,X4] :
( equivalence(X4,X1)
<=> epred1_2(X4,X1) ),
inference(apply_def,[status(esa)],[2,5,theory(equality)]) ).
fof(7,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(8,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)],[7]) ).
fof(9,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)],[8]) ).
fof(10,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)],[9]) ).
fof(11,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)],[10]) ).
cnf(14,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(15,plain,
! [X1,X4] :
( ( ~ equivalence(X4,X1)
| epred1_2(X4,X1) )
& ( ~ epred1_2(X4,X1)
| equivalence(X4,X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(16,plain,
! [X5,X6] :
( ( ~ equivalence(X6,X5)
| epred1_2(X6,X5) )
& ( ~ epred1_2(X6,X5)
| equivalence(X6,X5) ) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(17,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(18,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(19,negated_conjecture,
? [X7,X4,X3] :
( equivalence(X4,X7)
& subset(X3,X7)
& ~ equivalence(X4,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(20,negated_conjecture,
? [X8,X9,X10] :
( equivalence(X9,X8)
& subset(X10,X8)
& ~ equivalence(X9,X10) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,negated_conjecture,
( equivalence(esk3_0,esk2_0)
& subset(esk4_0,esk2_0)
& ~ equivalence(esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[20]) ).
cnf(22,negated_conjecture,
~ equivalence(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,negated_conjecture,
subset(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(24,negated_conjecture,
equivalence(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[21]) ).
fof(25,plain,
! [X1,X4] :
( ( ~ epred1_2(X4,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| apply(X4,X3,X3) )
& ! [X3,X5] :
( ~ member(X3,X1)
| ~ member(X5,X1)
| ~ apply(X4,X3,X5)
| apply(X4,X5,X3) )
& ! [X3,X5,X6] :
( ~ member(X3,X1)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ apply(X4,X3,X5)
| ~ apply(X4,X5,X6)
| apply(X4,X3,X6) ) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ apply(X4,X3,X3) )
| ? [X3,X5] :
( member(X3,X1)
& member(X5,X1)
& apply(X4,X3,X5)
& ~ apply(X4,X5,X3) )
| ? [X3,X5,X6] :
( member(X3,X1)
& member(X5,X1)
& member(X6,X1)
& apply(X4,X3,X5)
& apply(X4,X5,X6)
& ~ apply(X4,X3,X6) )
| epred1_2(X4,X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(26,plain,
! [X7,X8] :
( ( ~ epred1_2(X8,X7)
| ( ! [X9] :
( ~ member(X9,X7)
| apply(X8,X9,X9) )
& ! [X10,X11] :
( ~ member(X10,X7)
| ~ member(X11,X7)
| ~ apply(X8,X10,X11)
| apply(X8,X11,X10) )
& ! [X12,X13,X14] :
( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X7)
| ~ apply(X8,X12,X13)
| ~ apply(X8,X13,X14)
| apply(X8,X12,X14) ) ) )
& ( ? [X15] :
( member(X15,X7)
& ~ apply(X8,X15,X15) )
| ? [X16,X17] :
( member(X16,X7)
& member(X17,X7)
& apply(X8,X16,X17)
& ~ apply(X8,X17,X16) )
| ? [X18,X19,X20] :
( member(X18,X7)
& member(X19,X7)
& member(X20,X7)
& apply(X8,X18,X19)
& apply(X8,X19,X20)
& ~ apply(X8,X18,X20) )
| epred1_2(X8,X7) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,plain,
! [X7,X8] :
( ( ~ epred1_2(X8,X7)
| ( ! [X9] :
( ~ member(X9,X7)
| apply(X8,X9,X9) )
& ! [X10,X11] :
( ~ member(X10,X7)
| ~ member(X11,X7)
| ~ apply(X8,X10,X11)
| apply(X8,X11,X10) )
& ! [X12,X13,X14] :
( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X7)
| ~ apply(X8,X12,X13)
| ~ apply(X8,X13,X14)
| apply(X8,X12,X14) ) ) )
& ( ( member(esk5_2(X7,X8),X7)
& ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8)) )
| ( member(esk6_2(X7,X8),X7)
& member(esk7_2(X7,X8),X7)
& apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
& ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8)) )
| ( member(esk8_2(X7,X8),X7)
& member(esk9_2(X7,X8),X7)
& member(esk10_2(X7,X8),X7)
& apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
& apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
& ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8)) )
| epred1_2(X8,X7) ) ),
inference(skolemize,[status(esa)],[26]) ).
fof(28,plain,
! [X7,X8,X9,X10,X11,X12,X13,X14] :
( ( ( ( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X7)
| ~ apply(X8,X12,X13)
| ~ apply(X8,X13,X14)
| apply(X8,X12,X14) )
& ( ~ member(X10,X7)
| ~ member(X11,X7)
| ~ apply(X8,X10,X11)
| apply(X8,X11,X10) )
& ( ~ member(X9,X7)
| apply(X8,X9,X9) ) )
| ~ epred1_2(X8,X7) )
& ( ( member(esk5_2(X7,X8),X7)
& ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8)) )
| ( member(esk6_2(X7,X8),X7)
& member(esk7_2(X7,X8),X7)
& apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
& ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8)) )
| ( member(esk8_2(X7,X8),X7)
& member(esk9_2(X7,X8),X7)
& member(esk10_2(X7,X8),X7)
& apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
& apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
& ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8)) )
| epred1_2(X8,X7) ) ),
inference(shift_quantors,[status(thm)],[27]) ).
fof(29,plain,
! [X7,X8,X9,X10,X11,X12,X13,X14] :
( ( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X7)
| ~ apply(X8,X12,X13)
| ~ apply(X8,X13,X14)
| apply(X8,X12,X14)
| ~ epred1_2(X8,X7) )
& ( ~ member(X10,X7)
| ~ member(X11,X7)
| ~ apply(X8,X10,X11)
| apply(X8,X11,X10)
| ~ epred1_2(X8,X7) )
& ( ~ member(X9,X7)
| apply(X8,X9,X9)
| ~ epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk5_2(X7,X8),X7)
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| member(esk6_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| member(esk7_2(X7,X8),X7)
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| apply(X8,esk6_2(X7,X8),esk7_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk8_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk9_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( member(esk10_2(X7,X8),X7)
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk8_2(X7,X8),esk9_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( apply(X8,esk9_2(X7,X8),esk10_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) )
& ( ~ apply(X8,esk8_2(X7,X8),esk10_2(X7,X8))
| ~ apply(X8,esk7_2(X7,X8),esk6_2(X7,X8))
| ~ apply(X8,esk5_2(X7,X8),esk5_2(X7,X8))
| epred1_2(X8,X7) ) ),
inference(distribute,[status(thm)],[28]) ).
cnf(30,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(31,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(32,plain,
( epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(33,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(34,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(35,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(36,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(37,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(38,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(39,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(40,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(41,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(42,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(43,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(44,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(45,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(46,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(47,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(48,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(49,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(50,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(51,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(52,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(53,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(54,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(55,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(56,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(57,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(58,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(59,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(60,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(61,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(62,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(63,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(64,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(65,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(66,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(67,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(68,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(69,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(70,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(71,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(72,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(73,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(74,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(75,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(76,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(77,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(78,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(79,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(80,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(81,negated_conjecture,
~ epred1_2(esk3_0,esk4_0),
inference(spm,[status(thm)],[22,17,theory(equality)]) ).
cnf(82,negated_conjecture,
epred1_2(esk3_0,esk2_0),
inference(spm,[status(thm)],[18,24,theory(equality)]) ).
cnf(85,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[14,23,theory(equality)]) ).
cnf(90,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(spm,[status(thm)],[79,65,theory(equality)]) ).
cnf(91,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(spm,[status(thm)],[79,64,theory(equality)]) ).
cnf(92,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(spm,[status(thm)],[79,63,theory(equality)]) ).
cnf(96,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk6_2(X3,X1),X3)
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[80,73,theory(equality)]) ).
cnf(98,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk7_2(X3,X1),X3)
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[80,67,theory(equality)]) ).
cnf(102,plain,
( apply(X1,X2,esk9_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk8_2(X3,X1))
| ~ member(esk8_2(X3,X1),X4)
| ~ member(esk9_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[80,62,theory(equality)]) ).
cnf(103,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[80,61,theory(equality)]) ).
cnf(104,plain,
( apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk8_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[79,56,theory(equality)]) ).
cnf(106,plain,
( apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk10_2(X2,X1),X3)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[79,55,theory(equality)]) ).
cnf(108,plain,
( apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk8_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,50,theory(equality)]) ).
cnf(110,plain,
( apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk10_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,49,theory(equality)]) ).
cnf(112,plain,
( apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk8_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,44,theory(equality)]) ).
cnf(114,plain,
( apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk10_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,43,theory(equality)]) ).
cnf(116,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,41,theory(equality)]) ).
cnf(118,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,40,theory(equality)]) ).
cnf(120,plain,
( apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,39,theory(equality)]) ).
cnf(122,plain,
( apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk8_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(spm,[status(thm)],[79,38,theory(equality)]) ).
cnf(125,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[80,37,theory(equality)]) ).
cnf(126,plain,
( apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| ~ epred1_2(X1,X3)
| ~ member(esk8_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[79,32,theory(equality)]) ).
cnf(128,plain,
( apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| ~ epred1_2(X1,X3)
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk10_2(X2,X1),X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[79,31,theory(equality)]) ).
cnf(131,negated_conjecture,
( apply(esk3_0,X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[78,82,theory(equality)]) ).
cnf(133,plain,
( member(esk8_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,77,theory(equality)]) ).
cnf(134,plain,
( member(esk9_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,76,theory(equality)]) ).
cnf(135,plain,
( member(esk10_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,75,theory(equality)]) ).
cnf(136,plain,
( member(esk8_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,71,theory(equality)]) ).
cnf(137,plain,
( member(esk9_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,70,theory(equality)]) ).
cnf(138,plain,
( member(esk10_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[85,69,theory(equality)]) ).
cnf(142,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk8_2(X1,esk3_0),X1)
| member(esk6_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[53,131,theory(equality)]) ).
cnf(143,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk9_2(X1,esk3_0),X1)
| member(esk6_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[52,131,theory(equality)]) ).
cnf(144,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk10_2(X1,esk3_0),X1)
| member(esk6_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[51,131,theory(equality)]) ).
cnf(145,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk8_2(X1,esk3_0),X1)
| member(esk7_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[47,131,theory(equality)]) ).
cnf(146,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk9_2(X1,esk3_0),X1)
| member(esk7_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[46,131,theory(equality)]) ).
cnf(147,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk10_2(X1,esk3_0),X1)
| member(esk7_2(X1,esk3_0),X1)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[45,131,theory(equality)]) ).
cnf(154,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,142,theory(equality)]) ).
cnf(155,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[154,81,theory(equality)]) ).
cnf(156,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,143,theory(equality)]) ).
cnf(158,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[156,81,theory(equality)]) ).
cnf(163,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,144,theory(equality)]) ).
cnf(164,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[163,81,theory(equality)]) ).
cnf(165,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,145,theory(equality)]) ).
cnf(166,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[165,81,theory(equality)]) ).
cnf(196,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,146,theory(equality)]) ).
cnf(199,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[196,81,theory(equality)]) ).
cnf(207,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| epred1_2(esk3_0,esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,147,theory(equality)]) ).
cnf(209,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[207,81,theory(equality)]) ).
cnf(296,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[90,59]) ).
cnf(297,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[91,58]) ).
cnf(347,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[92,57]) ).
cnf(439,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[96,135,theory(equality)]) ).
cnf(478,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[439,134]) ).
cnf(480,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[72,478,theory(equality)]) ).
cnf(489,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[480,133]) ).
cnf(490,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[489,74]) ).
cnf(491,plain,
( member(esk6_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[85,490,theory(equality)]) ).
cnf(574,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[98,138,theory(equality)]) ).
cnf(736,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[574,137]) ).
cnf(739,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[66,736,theory(equality)]) ).
cnf(805,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[739,136]) ).
cnf(806,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[805,68]) ).
cnf(807,plain,
( member(esk7_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[85,806,theory(equality)]) ).
cnf(811,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk8_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ member(esk6_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[296,807,theory(equality)]) ).
cnf(812,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk9_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ member(esk6_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[297,807,theory(equality)]) ).
cnf(813,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk10_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ member(esk6_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[347,807,theory(equality)]) ).
cnf(814,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk8_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[811,491]) ).
cnf(815,plain,
( member(esk8_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[85,814,theory(equality)]) ).
cnf(883,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk9_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[812,491]) ).
cnf(884,plain,
( member(esk9_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[85,883,theory(equality)]) ).
cnf(896,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk9_2(esk4_0,X1),esk8_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[104,884,theory(equality)]) ).
cnf(898,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk9_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk8_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[102,884,theory(equality)]) ).
cnf(899,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk10_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[813,491]) ).
cnf(900,plain,
( member(esk10_2(esk4_0,X1),esk2_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[85,899,theory(equality)]) ).
cnf(946,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[103,900,theory(equality)]) ).
cnf(974,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk9_2(esk4_0,X1),esk8_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[896,815]) ).
cnf(976,plain,
( apply(X1,X2,esk8_2(esk4_0,X1))
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,X3)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),X3)
| ~ member(esk8_2(esk4_0,X1),X3)
| ~ member(X2,X3)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1)) ),
inference(spm,[status(thm)],[80,974,theory(equality)]) ).
cnf(1043,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[108,158,theory(equality)]) ).
cnf(1050,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1043,82,theory(equality)]) ).
cnf(1051,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1050,theory(equality)]) ).
cnf(1052,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1051,81,theory(equality)]) ).
cnf(1059,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1052,155]) ).
cnf(1060,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1059,131]) ).
cnf(1062,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),X2)
| ~ member(esk8_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[80,1060,theory(equality)]) ).
cnf(1114,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[110,164,theory(equality)]) ).
cnf(1121,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1114,82,theory(equality)]) ).
cnf(1122,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1121,theory(equality)]) ).
cnf(1123,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1122,81,theory(equality)]) ).
cnf(1131,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1123,158]) ).
cnf(1132,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1131,131]) ).
cnf(1187,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[112,199,theory(equality)]) ).
cnf(1195,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1187,82,theory(equality)]) ).
cnf(1196,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1195,theory(equality)]) ).
cnf(1197,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1196,81,theory(equality)]) ).
cnf(1202,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1197,166]) ).
cnf(1203,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1202,131]) ).
cnf(1205,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),X2)
| ~ member(esk8_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[80,1203,theory(equality)]) ).
cnf(1258,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[114,209,theory(equality)]) ).
cnf(1266,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1258,82,theory(equality)]) ).
cnf(1267,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1266,theory(equality)]) ).
cnf(1268,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1267,81,theory(equality)]) ).
cnf(1273,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1268,199]) ).
cnf(1274,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1273,131]) ).
cnf(1322,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[116,35]) ).
cnf(1323,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk6_2(X1,esk3_0),X2)
| ~ member(esk7_2(X1,esk3_0),X2)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1322,131,theory(equality)]) ).
cnf(1341,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1) ),
inference(spm,[status(thm)],[1062,1132,theory(equality)]) ).
cnf(1388,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1341,164,theory(equality)]) ).
cnf(1401,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1388,82,theory(equality)]) ).
cnf(1402,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1401,theory(equality)]) ).
cnf(1415,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1402,155]) ).
cnf(1416,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1415,158]) ).
cnf(1417,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,1416,theory(equality)]) ).
cnf(1424,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1417,164,theory(equality)]) ).
cnf(1437,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1424,82,theory(equality)]) ).
cnf(1438,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1437,theory(equality)]) ).
cnf(1448,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1438,155]) ).
cnf(1455,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[48,1448,theory(equality)]) ).
cnf(1463,negated_conjecture,
( member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1455,81,theory(equality)]) ).
cnf(1467,negated_conjecture,
( member(esk6_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1463,131]) ).
cnf(1468,negated_conjecture,
( member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,1467,theory(equality)]) ).
cnf(1472,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[118,34]) ).
cnf(1473,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk6_2(X1,esk3_0),X2)
| ~ member(esk7_2(X1,esk3_0),X2)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1472,131,theory(equality)]) ).
cnf(1493,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1) ),
inference(spm,[status(thm)],[1205,1274,theory(equality)]) ).
cnf(1539,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1493,209,theory(equality)]) ).
cnf(1550,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1539,82,theory(equality)]) ).
cnf(1551,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1550,theory(equality)]) ).
cnf(1559,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk6_2(X2,X1),X3)
| ~ member(esk7_2(X2,X1),X3) ),
inference(csr,[status(thm)],[120,33]) ).
cnf(1560,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk6_2(X1,esk3_0),X2)
| ~ member(esk7_2(X1,esk3_0),X2)
| ~ member(esk5_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1559,131,theory(equality)]) ).
cnf(1561,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1551,166]) ).
cnf(1562,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1561,199]) ).
cnf(1563,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,1562,theory(equality)]) ).
cnf(1571,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1563,209,theory(equality)]) ).
cnf(1582,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1571,82,theory(equality)]) ).
cnf(1583,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1582,theory(equality)]) ).
cnf(1591,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1583,166]) ).
cnf(1599,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[42,1591,theory(equality)]) ).
cnf(1607,negated_conjecture,
( member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1599,81,theory(equality)]) ).
cnf(1610,negated_conjecture,
( member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1607,131]) ).
cnf(1611,negated_conjecture,
( member(esk7_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,1610,theory(equality)]) ).
cnf(1620,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1323,1611,theory(equality)]) ).
cnf(1621,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1473,1611,theory(equality)]) ).
cnf(1631,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1620,82,theory(equality)]) ).
cnf(1632,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1631,theory(equality)]) ).
cnf(1633,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1632,81,theory(equality)]) ).
cnf(1634,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1621,82,theory(equality)]) ).
cnf(1635,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1634,theory(equality)]) ).
cnf(1636,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1635,81,theory(equality)]) ).
cnf(1637,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1633,1468]) ).
cnf(1638,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,1637,theory(equality)]) ).
cnf(1642,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1636,1468]) ).
cnf(1643,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,1642,theory(equality)]) ).
cnf(1703,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1560,1611,theory(equality)]) ).
cnf(1709,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1703,82,theory(equality)]) ).
cnf(1710,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1709,theory(equality)]) ).
cnf(1711,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1710,81,theory(equality)]) ).
cnf(1721,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[122,1643,theory(equality)]) ).
cnf(1722,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1721,82,theory(equality)]) ).
cnf(1723,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1722,theory(equality)]) ).
cnf(1724,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1723,81,theory(equality)]) ).
cnf(1725,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1711,1468]) ).
cnf(1726,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,1725,theory(equality)]) ).
cnf(1809,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1724,1638]) ).
cnf(1810,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1809,131]) ).
cnf(1811,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,1810,theory(equality)]) ).
cnf(1827,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1811,1643,theory(equality)]) ).
cnf(1839,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| $false
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1827,82,theory(equality)]) ).
cnf(1840,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1839,theory(equality)]) ).
cnf(1854,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1840,1638]) ).
cnf(1916,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[125,1726,theory(equality)]) ).
cnf(1917,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1916,82,theory(equality)]) ).
cnf(1918,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1917,theory(equality)]) ).
cnf(1919,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1918,81,theory(equality)]) ).
cnf(1950,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[126,1643,theory(equality)]) ).
cnf(1951,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1950,82,theory(equality)]) ).
cnf(1952,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1951,theory(equality)]) ).
cnf(1953,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[1952,81,theory(equality)]) ).
cnf(1954,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1953,1638]) ).
cnf(1955,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1954,131]) ).
cnf(1956,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,1955,theory(equality)]) ).
cnf(1967,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[1956,1643,theory(equality)]) ).
cnf(1979,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[1967,82,theory(equality)]) ).
cnf(1980,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[1979,theory(equality)]) ).
cnf(1981,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[1980,1638]) ).
cnf(2002,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[1919,1643]) ).
cnf(2003,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[2002,131]) ).
cnf(2031,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk9_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk8_2(esk4_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[898,815]) ).
cnf(2032,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2031,131,theory(equality)]) ).
cnf(2037,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2032,82,theory(equality)]) ).
cnf(2038,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2037,theory(equality)]) ).
cnf(2039,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2038,81,theory(equality)]) ).
cnf(2055,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[128,1726,theory(equality)]) ).
cnf(2056,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2055,82,theory(equality)]) ).
cnf(2057,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2056,theory(equality)]) ).
cnf(2058,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2057,81,theory(equality)]) ).
cnf(2065,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2058,1643]) ).
cnf(2066,negated_conjecture,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2065,131]) ).
cnf(2067,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,2066,theory(equality)]) ).
cnf(2079,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2067,1726,theory(equality)]) ).
cnf(2091,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2079,82,theory(equality)]) ).
cnf(2092,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2091,theory(equality)]) ).
cnf(2093,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2092,1643]) ).
cnf(2158,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[946,884]) ).
cnf(2161,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,esk8_2(esk4_0,X1),esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ member(esk8_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[2158,62,theory(equality)]) ).
cnf(2173,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2158,2039,theory(equality)]) ).
cnf(2188,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2173,82,theory(equality)]) ).
cnf(2189,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2188,theory(equality)]) ).
cnf(2190,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2189,81,theory(equality)]) ).
cnf(2205,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[60,2190,theory(equality)]) ).
cnf(2213,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2205,81,theory(equality)]) ).
cnf(2219,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk6_2(esk4_0,esk3_0),X1)
| ~ member(esk7_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,2213,theory(equality)]) ).
cnf(2227,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2219,807,theory(equality)]) ).
cnf(2232,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2227,82,theory(equality)]) ).
cnf(2233,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2232,theory(equality)]) ).
cnf(2234,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2233,81,theory(equality)]) ).
cnf(2239,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[58,2234,theory(equality)]) ).
cnf(2240,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[57,2234,theory(equality)]) ).
cnf(2250,plain,
( member(esk9_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2239,81,theory(equality)]) ).
cnf(2251,plain,
( member(esk10_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2240,81,theory(equality)]) ).
cnf(2265,plain,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2250,theory(equality)]) ).
cnf(2278,plain,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2251,theory(equality)]) ).
cnf(2295,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[104,2265,theory(equality)]) ).
cnf(2315,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2295,82,theory(equality)]) ).
cnf(2316,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2315,theory(equality)]) ).
cnf(2317,plain,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2316,81,theory(equality)]) ).
cnf(2344,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[98,2278,theory(equality)]) ).
cnf(2366,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2344,82,theory(equality)]) ).
cnf(2367,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2366,theory(equality)]) ).
cnf(2368,plain,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2367,81,theory(equality)]) ).
cnf(2410,plain,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2317,2234]) ).
cnf(2411,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,2410,theory(equality)]) ).
cnf(2435,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,esk8_2(esk4_0,X1),esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[2161,815]) ).
cnf(2436,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[2435,60]) ).
cnf(2437,plain,
( apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1))
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,X2)
| ~ member(esk6_2(esk4_0,X1),X2)
| ~ member(esk7_2(esk4_0,X1),X2)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[79,2436,theory(equality)]) ).
cnf(2466,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ member(esk6_2(esk4_0,X1),esk2_0) ),
inference(spm,[status(thm)],[2437,807,theory(equality)]) ).
cnf(2510,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk7_2(esk4_0,X1),esk6_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[2466,491]) ).
cnf(2523,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk8_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk2_0)
| ~ epred1_2(X1,X3)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),X3)
| ~ member(esk8_2(esk4_0,X1),X3)
| ~ member(X2,X3) ),
inference(csr,[status(thm)],[976,2510]) ).
cnf(2789,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2411,884,theory(equality)]) ).
cnf(2802,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2789,82,theory(equality)]) ).
cnf(2803,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2802,theory(equality)]) ).
cnf(2804,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2803,81,theory(equality)]) ).
cnf(2927,plain,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[2368,2265]) ).
cnf(2930,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[66,2927,theory(equality)]) ).
cnf(2940,plain,
( member(esk7_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2930,81,theory(equality)]) ).
cnf(2949,plain,
( member(esk7_2(esk4_0,esk3_0),esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2940,2804]) ).
cnf(2951,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2949,136,theory(equality)]) ).
cnf(2955,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk7_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2951,81,theory(equality)]) ).
cnf(2959,plain,
( member(esk7_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2955,theory(equality)]) ).
cnf(2967,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[296,2959,theory(equality)]) ).
cnf(2968,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[297,2959,theory(equality)]) ).
cnf(2969,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[347,2959,theory(equality)]) ).
cnf(2973,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2219,2959,theory(equality)]) ).
cnf(2974,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2967,82,theory(equality)]) ).
cnf(2975,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2974,theory(equality)]) ).
cnf(2976,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk8_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2975,81,theory(equality)]) ).
cnf(2977,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2968,82,theory(equality)]) ).
cnf(2978,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2977,theory(equality)]) ).
cnf(2979,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk9_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2978,81,theory(equality)]) ).
cnf(2980,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2969,82,theory(equality)]) ).
cnf(2981,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2980,theory(equality)]) ).
cnf(2982,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| member(esk10_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[2981,81,theory(equality)]) ).
cnf(2992,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[2973,82,theory(equality)]) ).
cnf(2993,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[2992,theory(equality)]) ).
cnf(2998,plain,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2976,theory(equality)]) ).
cnf(2999,plain,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2979,theory(equality)]) ).
cnf(3014,plain,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[85,2982,theory(equality)]) ).
cnf(3087,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[106,3014,theory(equality)]) ).
cnf(3108,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[3087,82,theory(equality)]) ).
cnf(3109,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[3108,theory(equality)]) ).
cnf(3110,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[3109,81,theory(equality)]) ).
cnf(3169,plain,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[2993,2998]) ).
cnf(3260,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3110,2999]) ).
cnf(3261,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3260,3169]) ).
cnf(3264,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[2523,3261,theory(equality)]) ).
cnf(3265,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| $false
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[3264,82,theory(equality)]) ).
cnf(3266,plain,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[3265,theory(equality)]) ).
cnf(3267,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[3266,81,theory(equality)]) ).
cnf(3708,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[3267,900,theory(equality)]) ).
cnf(3721,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[3708,82,theory(equality)]) ).
cnf(3722,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[3721,theory(equality)]) ).
cnf(3723,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[3722,81,theory(equality)]) ).
cnf(3728,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3723,2998]) ).
cnf(3729,plain,
( apply(esk3_0,esk10_2(esk4_0,esk3_0),esk8_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3728,2999]) ).
cnf(3730,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk10_2(esk4_0,esk3_0),X1)
| ~ member(esk8_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[79,3729,theory(equality)]) ).
cnf(3739,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[3730,900,theory(equality)]) ).
cnf(3752,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[3739,82,theory(equality)]) ).
cnf(3753,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[3752,theory(equality)]) ).
cnf(3754,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[3753,81,theory(equality)]) ).
cnf(3759,plain,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3754,2998]) ).
cnf(3765,plain,
( epred1_2(esk3_0,esk4_0)
| member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[54,3759,theory(equality)]) ).
cnf(3774,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[3765,81,theory(equality)]) ).
cnf(3782,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[3774,3169]) ).
cnf(3783,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| ~ epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[3782,491,theory(equality)]) ).
cnf(3785,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[3783,82,theory(equality)]) ).
cnf(3786,plain,
( member(esk5_2(esk4_0,esk3_0),esk4_0)
| epred1_2(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[3785,theory(equality)]) ).
cnf(3787,plain,
member(esk5_2(esk4_0,esk3_0),esk4_0),
inference(sr,[status(thm)],[3786,81,theory(equality)]) ).
cnf(3815,plain,
member(esk5_2(esk4_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[85,3787,theory(equality)]) ).
cnf(3829,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[2093,3815,theory(equality)]) ).
cnf(3830,negated_conjecture,
( apply(esk3_0,esk9_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[3829,theory(equality)]) ).
cnf(3833,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| $false
| ~ member(X1,esk2_0) ),
inference(rw,[status(thm)],[2003,3815,theory(equality)]) ).
cnf(3834,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(X1,esk2_0) ),
inference(cn,[status(thm)],[3833,theory(equality)]) ).
cnf(3837,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[1981,3815,theory(equality)]) ).
cnf(3838,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[3837,theory(equality)]) ).
cnf(3845,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[1854,3815,theory(equality)]) ).
cnf(3846,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[3845,theory(equality)]) ).
cnf(3849,negated_conjecture,
( member(esk10_2(esk4_0,esk3_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[1726,3815,theory(equality)]) ).
cnf(3850,negated_conjecture,
member(esk10_2(esk4_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[3849,theory(equality)]) ).
cnf(3853,negated_conjecture,
( member(esk9_2(esk4_0,esk3_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[1643,3815,theory(equality)]) ).
cnf(3854,negated_conjecture,
member(esk9_2(esk4_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[3853,theory(equality)]) ).
cnf(3857,negated_conjecture,
( member(esk8_2(esk4_0,esk3_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[1638,3815,theory(equality)]) ).
cnf(3858,negated_conjecture,
member(esk8_2(esk4_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[3857,theory(equality)]) ).
cnf(3861,negated_conjecture,
( member(esk7_2(esk4_0,esk3_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[1611,3815,theory(equality)]) ).
cnf(3862,negated_conjecture,
member(esk7_2(esk4_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[3861,theory(equality)]) ).
cnf(3865,negated_conjecture,
( member(esk6_2(esk4_0,esk3_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[1468,3815,theory(equality)]) ).
cnf(3866,negated_conjecture,
member(esk6_2(esk4_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[3865,theory(equality)]) ).
cnf(4123,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),X2)
| ~ member(esk10_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[80,3830,theory(equality)]) ).
cnf(4218,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[3834,3846,theory(equality)]) ).
cnf(4222,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[4218,3858,theory(equality)]) ).
cnf(4223,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| apply(esk3_0,esk8_2(esk4_0,esk3_0),esk10_2(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[4222,theory(equality)]) ).
cnf(4232,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[36,4223,theory(equality)]) ).
cnf(4245,negated_conjecture,
( apply(esk3_0,esk6_2(esk4_0,esk3_0),esk7_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0)) ),
inference(sr,[status(thm)],[4232,81,theory(equality)]) ).
cnf(4281,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),X2)
| ~ member(esk7_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[80,4245,theory(equality)]) ).
cnf(4791,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),X2)
| ~ member(esk7_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| ~ member(esk5_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[4281,131,theory(equality)]) ).
cnf(4792,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),X2)
| ~ member(esk7_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[4791,3815,theory(equality)]) ).
cnf(4793,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),X2)
| ~ member(esk7_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[4792,theory(equality)]) ).
cnf(4794,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[4793,3862,theory(equality)]) ).
cnf(4798,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(rw,[status(thm)],[4794,82,theory(equality)]) ).
cnf(4799,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| $false
| ~ member(X1,esk2_0) ),
inference(rw,[status(thm)],[4798,3866,theory(equality)]) ).
cnf(4800,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(X1,esk2_0) ),
inference(cn,[status(thm)],[4799,theory(equality)]) ).
cnf(4811,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ member(X1,X2)
| ~ member(esk7_2(esk4_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk6_2(esk4_0,esk3_0))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[79,4800,theory(equality)]) ).
cnf(4813,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk7_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),X1) ),
inference(spm,[status(thm)],[4811,131,theory(equality)]) ).
cnf(4816,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk7_2(esk4_0,esk3_0),X1)
| $false
| ~ member(esk6_2(esk4_0,esk3_0),X1) ),
inference(rw,[status(thm)],[4813,3866,theory(equality)]) ).
cnf(4817,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk7_2(esk4_0,esk3_0),X1)
| ~ member(esk6_2(esk4_0,esk3_0),X1) ),
inference(cn,[status(thm)],[4816,theory(equality)]) ).
cnf(4828,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[4817,3862,theory(equality)]) ).
cnf(4832,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| $false
| ~ member(esk6_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[4828,82,theory(equality)]) ).
cnf(4833,negated_conjecture,
( apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| $false
| $false ),
inference(rw,[status(thm)],[4832,3866,theory(equality)]) ).
cnf(4834,negated_conjecture,
apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0)),
inference(cn,[status(thm)],[4833,theory(equality)]) ).
cnf(4865,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| $false
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),X2)
| ~ member(esk10_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(rw,[status(thm)],[4123,4834,theory(equality)]) ).
cnf(4866,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),X2)
| ~ member(esk10_2(esk4_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[4865,theory(equality)]) ).
cnf(4870,negated_conjecture,
( apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[3838,4834,theory(equality)]) ).
cnf(4871,negated_conjecture,
apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0)),
inference(cn,[status(thm)],[4870,theory(equality)]) ).
cnf(5083,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[4866,3850,theory(equality)]) ).
cnf(5093,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(esk9_2(esk4_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(rw,[status(thm)],[5083,82,theory(equality)]) ).
cnf(5094,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| $false
| ~ member(X1,esk2_0) ),
inference(rw,[status(thm)],[5093,3854,theory(equality)]) ).
cnf(5095,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk4_0,esk3_0))
| ~ apply(esk3_0,X1,esk9_2(esk4_0,esk3_0))
| ~ member(X1,esk2_0) ),
inference(cn,[status(thm)],[5094,theory(equality)]) ).
cnf(5153,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk7_2(esk4_0,esk3_0),esk6_2(esk4_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[30,5095,theory(equality)]) ).
cnf(5188,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| $false
| ~ apply(esk3_0,esk8_2(esk4_0,esk3_0),esk9_2(esk4_0,esk3_0))
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[5153,4834,theory(equality)]) ).
cnf(5189,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| $false
| $false
| ~ member(esk8_2(esk4_0,esk3_0),esk2_0) ),
inference(rw,[status(thm)],[5188,4871,theory(equality)]) ).
cnf(5190,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5189,3858,theory(equality)]) ).
cnf(5191,negated_conjecture,
( epred1_2(esk3_0,esk4_0)
| ~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0)) ),
inference(cn,[status(thm)],[5190,theory(equality)]) ).
cnf(5192,negated_conjecture,
~ apply(esk3_0,esk5_2(esk4_0,esk3_0),esk5_2(esk4_0,esk3_0)),
inference(sr,[status(thm)],[5191,81,theory(equality)]) ).
cnf(5196,negated_conjecture,
~ member(esk5_2(esk4_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[5192,131,theory(equality)]) ).
cnf(5197,negated_conjecture,
$false,
inference(rw,[status(thm)],[5196,3815,theory(equality)]) ).
cnf(5198,negated_conjecture,
$false,
inference(cn,[status(thm)],[5197,theory(equality)]) ).
cnf(5199,negated_conjecture,
$false,
5198,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET765+4.p
% --creating new selector for [SET006+0.ax, SET006+2.ax]
% -running prover on /tmp/tmp0s8kT6/sel_SET765+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET765+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET765+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET765+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
%
%------------------------------------------------------------------------------