TSTP Solution File: SET775+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET775+4 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 03:38:27 EST 2010
% Result : Theorem 4.60s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 191
% Number of leaves : 4
% Syntax : Number of formulae : 646 ( 23 unt; 0 def)
% Number of atoms : 3750 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 4913 (1809 ~;2894 |; 187 &)
% ( 6 <=>; 17 =>; 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 : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 635 ( 3 sgn 118 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equivalence(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
file('/tmp/tmp3JXZE-/sel_SET775+4.p_1',equivalence) ).
fof(2,axiom,
! [X2,X6] :
( pre_order(X2,X6)
<=> ( ! [X3] :
( member(X3,X6)
=> apply(X2,X3,X3) )
& ! [X3,X4,X5] :
( ( member(X3,X6)
& member(X4,X6)
& member(X5,X6) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
file('/tmp/tmp3JXZE-/sel_SET775+4.p_1',pre_order) ).
fof(3,conjecture,
! [X6,X7,X2] :
( ( pre_order(X7,X6)
& ! [X1,X8] :
( ( member(X1,X6)
& member(X8,X6) )
=> ( apply(X2,X1,X8)
<=> ( apply(X7,X1,X8)
& apply(X7,X8,X1) ) ) ) )
=> equivalence(X2,X6) ),
file('/tmp/tmp3JXZE-/sel_SET775+4.p_1',thIII11) ).
fof(4,negated_conjecture,
~ ! [X6,X7,X2] :
( ( pre_order(X7,X6)
& ! [X1,X8] :
( ( member(X1,X6)
& member(X8,X6) )
=> ( apply(X2,X1,X8)
<=> ( apply(X7,X1,X8)
& apply(X7,X8,X1) ) ) ) )
=> equivalence(X2,X6) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
introduced(definition) ).
fof(6,plain,
! [X1,X2] :
( equivalence(X2,X1)
<=> epred1_2(X2,X1) ),
inference(apply_def,[status(esa)],[1,5,theory(equality)]) ).
fof(7,plain,
! [X1,X2] :
( ( ~ equivalence(X2,X1)
| epred1_2(X2,X1) )
& ( ~ epred1_2(X2,X1)
| equivalence(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(8,plain,
! [X3,X4] :
( ( ~ equivalence(X4,X3)
| epred1_2(X4,X3) )
& ( ~ epred1_2(X4,X3)
| equivalence(X4,X3) ) ),
inference(variable_rename,[status(thm)],[7]) ).
cnf(9,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[8]) ).
fof(11,plain,
! [X2,X6] :
( ( ~ pre_order(X2,X6)
| ( ! [X3] :
( ~ member(X3,X6)
| apply(X2,X3,X3) )
& ! [X3,X4,X5] :
( ~ member(X3,X6)
| ~ member(X4,X6)
| ~ member(X5,X6)
| ~ apply(X2,X3,X4)
| ~ apply(X2,X4,X5)
| apply(X2,X3,X5) ) ) )
& ( ? [X3] :
( member(X3,X6)
& ~ apply(X2,X3,X3) )
| ? [X3,X4,X5] :
( member(X3,X6)
& member(X4,X6)
& member(X5,X6)
& apply(X2,X3,X4)
& apply(X2,X4,X5)
& ~ apply(X2,X3,X5) )
| pre_order(X2,X6) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(12,plain,
! [X7,X8] :
( ( ~ pre_order(X7,X8)
| ( ! [X9] :
( ~ member(X9,X8)
| apply(X7,X9,X9) )
& ! [X10,X11,X12] :
( ~ member(X10,X8)
| ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X7,X10,X11)
| ~ apply(X7,X11,X12)
| apply(X7,X10,X12) ) ) )
& ( ? [X13] :
( member(X13,X8)
& ~ apply(X7,X13,X13) )
| ? [X14,X15,X16] :
( member(X14,X8)
& member(X15,X8)
& member(X16,X8)
& apply(X7,X14,X15)
& apply(X7,X15,X16)
& ~ apply(X7,X14,X16) )
| pre_order(X7,X8) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(13,plain,
! [X7,X8] :
( ( ~ pre_order(X7,X8)
| ( ! [X9] :
( ~ member(X9,X8)
| apply(X7,X9,X9) )
& ! [X10,X11,X12] :
( ~ member(X10,X8)
| ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X7,X10,X11)
| ~ apply(X7,X11,X12)
| apply(X7,X10,X12) ) ) )
& ( ( member(esk1_2(X7,X8),X8)
& ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8)) )
| ( member(esk2_2(X7,X8),X8)
& member(esk3_2(X7,X8),X8)
& member(esk4_2(X7,X8),X8)
& apply(X7,esk2_2(X7,X8),esk3_2(X7,X8))
& apply(X7,esk3_2(X7,X8),esk4_2(X7,X8))
& ~ apply(X7,esk2_2(X7,X8),esk4_2(X7,X8)) )
| pre_order(X7,X8) ) ),
inference(skolemize,[status(esa)],[12]) ).
fof(14,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ( ( ~ member(X10,X8)
| ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X7,X10,X11)
| ~ apply(X7,X11,X12)
| apply(X7,X10,X12) )
& ( ~ member(X9,X8)
| apply(X7,X9,X9) ) )
| ~ pre_order(X7,X8) )
& ( ( member(esk1_2(X7,X8),X8)
& ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8)) )
| ( member(esk2_2(X7,X8),X8)
& member(esk3_2(X7,X8),X8)
& member(esk4_2(X7,X8),X8)
& apply(X7,esk2_2(X7,X8),esk3_2(X7,X8))
& apply(X7,esk3_2(X7,X8),esk4_2(X7,X8))
& ~ apply(X7,esk2_2(X7,X8),esk4_2(X7,X8)) )
| pre_order(X7,X8) ) ),
inference(shift_quantors,[status(thm)],[13]) ).
fof(15,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ~ member(X10,X8)
| ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X7,X10,X11)
| ~ apply(X7,X11,X12)
| apply(X7,X10,X12)
| ~ pre_order(X7,X8) )
& ( ~ member(X9,X8)
| apply(X7,X9,X9)
| ~ pre_order(X7,X8) )
& ( member(esk2_2(X7,X8),X8)
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( member(esk3_2(X7,X8),X8)
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( member(esk4_2(X7,X8),X8)
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( apply(X7,esk2_2(X7,X8),esk3_2(X7,X8))
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( apply(X7,esk3_2(X7,X8),esk4_2(X7,X8))
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( ~ apply(X7,esk2_2(X7,X8),esk4_2(X7,X8))
| member(esk1_2(X7,X8),X8)
| pre_order(X7,X8) )
& ( member(esk2_2(X7,X8),X8)
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) )
& ( member(esk3_2(X7,X8),X8)
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) )
& ( member(esk4_2(X7,X8),X8)
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) )
& ( apply(X7,esk2_2(X7,X8),esk3_2(X7,X8))
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) )
& ( apply(X7,esk3_2(X7,X8),esk4_2(X7,X8))
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) )
& ( ~ apply(X7,esk2_2(X7,X8),esk4_2(X7,X8))
| ~ apply(X7,esk1_2(X7,X8),esk1_2(X7,X8))
| pre_order(X7,X8) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(16,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2))
| ~ apply(X1,esk2_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(17,plain,
( pre_order(X1,X2)
| apply(X1,esk3_2(X1,X2),esk4_2(X1,X2))
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(18,plain,
( pre_order(X1,X2)
| apply(X1,esk2_2(X1,X2),esk3_2(X1,X2))
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(19,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(20,plain,
( pre_order(X1,X2)
| member(esk3_2(X1,X2),X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(21,plain,
( pre_order(X1,X2)
| member(esk2_2(X1,X2),X2)
| ~ apply(X1,esk1_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(22,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| ~ apply(X1,esk2_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(23,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| apply(X1,esk3_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(24,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| apply(X1,esk2_2(X1,X2),esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(25,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(26,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(27,plain,
( pre_order(X1,X2)
| member(esk1_2(X1,X2),X2)
| member(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(28,plain,
( apply(X1,X3,X3)
| ~ pre_order(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(29,plain,
( apply(X1,X3,X4)
| ~ pre_order(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(30,negated_conjecture,
? [X6,X7,X2] :
( pre_order(X7,X6)
& ! [X1,X8] :
( ~ member(X1,X6)
| ~ member(X8,X6)
| ( ( ~ apply(X2,X1,X8)
| ( apply(X7,X1,X8)
& apply(X7,X8,X1) ) )
& ( ~ apply(X7,X1,X8)
| ~ apply(X7,X8,X1)
| apply(X2,X1,X8) ) ) )
& ~ equivalence(X2,X6) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,negated_conjecture,
? [X9,X10,X11] :
( pre_order(X10,X9)
& ! [X12,X13] :
( ~ member(X12,X9)
| ~ member(X13,X9)
| ( ( ~ apply(X11,X12,X13)
| ( apply(X10,X12,X13)
& apply(X10,X13,X12) ) )
& ( ~ apply(X10,X12,X13)
| ~ apply(X10,X13,X12)
| apply(X11,X12,X13) ) ) )
& ~ equivalence(X11,X9) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,negated_conjecture,
( pre_order(esk6_0,esk5_0)
& ! [X12,X13] :
( ~ member(X12,esk5_0)
| ~ member(X13,esk5_0)
| ( ( ~ apply(esk7_0,X12,X13)
| ( apply(esk6_0,X12,X13)
& apply(esk6_0,X13,X12) ) )
& ( ~ apply(esk6_0,X12,X13)
| ~ apply(esk6_0,X13,X12)
| apply(esk7_0,X12,X13) ) ) )
& ~ equivalence(esk7_0,esk5_0) ),
inference(skolemize,[status(esa)],[31]) ).
fof(33,negated_conjecture,
! [X12,X13] :
( ( ~ member(X12,esk5_0)
| ~ member(X13,esk5_0)
| ( ( ~ apply(esk7_0,X12,X13)
| ( apply(esk6_0,X12,X13)
& apply(esk6_0,X13,X12) ) )
& ( ~ apply(esk6_0,X12,X13)
| ~ apply(esk6_0,X13,X12)
| apply(esk7_0,X12,X13) ) ) )
& pre_order(esk6_0,esk5_0)
& ~ equivalence(esk7_0,esk5_0) ),
inference(shift_quantors,[status(thm)],[32]) ).
fof(34,negated_conjecture,
! [X12,X13] :
( ( apply(esk6_0,X12,X13)
| ~ apply(esk7_0,X12,X13)
| ~ member(X12,esk5_0)
| ~ member(X13,esk5_0) )
& ( apply(esk6_0,X13,X12)
| ~ apply(esk7_0,X12,X13)
| ~ member(X12,esk5_0)
| ~ member(X13,esk5_0) )
& ( ~ apply(esk6_0,X12,X13)
| ~ apply(esk6_0,X13,X12)
| apply(esk7_0,X12,X13)
| ~ member(X12,esk5_0)
| ~ member(X13,esk5_0) )
& pre_order(esk6_0,esk5_0)
& ~ equivalence(esk7_0,esk5_0) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,negated_conjecture,
~ equivalence(esk7_0,esk5_0),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,negated_conjecture,
pre_order(esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(37,negated_conjecture,
( apply(esk7_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ apply(esk6_0,X1,X2)
| ~ apply(esk6_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(38,negated_conjecture,
( apply(esk6_0,X1,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ apply(esk7_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(39,negated_conjecture,
( apply(esk6_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ apply(esk7_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(40,plain,
! [X1,X2] :
( ( ~ epred1_2(X2,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| apply(X2,X3,X3) )
& ! [X3,X4] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ apply(X2,X3,X4)
| apply(X2,X4,X3) )
& ! [X3,X4,X5] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X2,X3,X4)
| ~ apply(X2,X4,X5)
| apply(X2,X3,X5) ) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ apply(X2,X3,X3) )
| ? [X3,X4] :
( member(X3,X1)
& member(X4,X1)
& apply(X2,X3,X4)
& ~ apply(X2,X4,X3) )
| ? [X3,X4,X5] :
( member(X3,X1)
& member(X4,X1)
& member(X5,X1)
& apply(X2,X3,X4)
& apply(X2,X4,X5)
& ~ apply(X2,X3,X5) )
| epred1_2(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(41,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ? [X14] :
( member(X14,X6)
& ~ apply(X7,X14,X14) )
| ? [X15,X16] :
( member(X15,X6)
& member(X16,X6)
& apply(X7,X15,X16)
& ~ apply(X7,X16,X15) )
| ? [X17,X18,X19] :
( member(X17,X6)
& member(X18,X6)
& member(X19,X6)
& apply(X7,X17,X18)
& apply(X7,X18,X19)
& ~ apply(X7,X17,X19) )
| epred1_2(X7,X6) ) ),
inference(variable_rename,[status(thm)],[40]) ).
fof(42,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ( member(esk8_2(X6,X7),X6)
& ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7)) )
| ( member(esk9_2(X6,X7),X6)
& member(esk10_2(X6,X7),X6)
& apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
& ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7)) )
| ( member(esk11_2(X6,X7),X6)
& member(esk12_2(X6,X7),X6)
& member(esk13_2(X6,X7),X6)
& apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
& apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
& ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(skolemize,[status(esa)],[41]) ).
fof(43,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8) ) )
| ~ epred1_2(X7,X6) )
& ( ( member(esk8_2(X6,X7),X6)
& ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7)) )
| ( member(esk9_2(X6,X7),X6)
& member(esk10_2(X6,X7),X6)
& apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
& ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7)) )
| ( member(esk11_2(X6,X7),X6)
& member(esk12_2(X6,X7),X6)
& member(esk13_2(X6,X7),X6)
& apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
& apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
& ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(shift_quantors,[status(thm)],[42]) ).
fof(44,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13)
| ~ epred1_2(X7,X6) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9)
| ~ epred1_2(X7,X6) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8)
| ~ epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| member(esk8_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk11_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk12_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk13_2(X6,X7),X6)
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk11_2(X6,X7),esk12_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk12_2(X6,X7),esk13_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk11_2(X6,X7),esk13_2(X6,X7))
| ~ apply(X7,esk10_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk8_2(X6,X7),esk8_2(X6,X7))
| epred1_2(X7,X6) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(45,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(46,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(47,plain,
( epred1_2(X1,X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(48,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(49,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(50,plain,
( epred1_2(X1,X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(51,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(52,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(53,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(54,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(55,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(56,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(57,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(58,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(59,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(60,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(61,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(62,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(63,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(64,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(65,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(66,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(67,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(68,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(69,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(70,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(71,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(72,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(73,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(74,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(75,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(76,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(77,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(78,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(79,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(80,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(81,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(82,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(83,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(84,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(85,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(86,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(87,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(88,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(89,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(90,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(91,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(92,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(96,negated_conjecture,
~ epred1_2(esk7_0,esk5_0),
inference(spm,[status(thm)],[35,9,theory(equality)]) ).
cnf(98,negated_conjecture,
( apply(esk6_0,X1,X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[28,36,theory(equality)]) ).
cnf(99,negated_conjecture,
( apply(esk7_0,esk2_2(X1,esk5_0),X2)
| pre_order(X1,esk5_0)
| member(esk1_2(X1,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(X1,esk5_0),X2)
| ~ apply(esk6_0,X2,esk2_2(X1,esk5_0))
| ~ member(X2,esk5_0) ),
inference(spm,[status(thm)],[37,27,theory(equality)]) ).
cnf(102,negated_conjecture,
( apply(esk6_0,esk2_2(esk7_0,X1),esk3_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| member(esk1_2(esk7_0,X1),X1)
| ~ member(esk2_2(esk7_0,X1),esk5_0)
| ~ member(esk3_2(esk7_0,X1),esk5_0) ),
inference(spm,[status(thm)],[39,24,theory(equality)]) ).
cnf(103,negated_conjecture,
( apply(esk6_0,esk3_2(esk7_0,X1),esk2_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| member(esk1_2(esk7_0,X1),X1)
| ~ member(esk2_2(esk7_0,X1),esk5_0)
| ~ member(esk3_2(esk7_0,X1),esk5_0) ),
inference(spm,[status(thm)],[38,24,theory(equality)]) ).
cnf(105,negated_conjecture,
( apply(esk6_0,esk3_2(esk7_0,X1),esk4_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| member(esk1_2(esk7_0,X1),X1)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ member(esk4_2(esk7_0,X1),esk5_0) ),
inference(spm,[status(thm)],[39,23,theory(equality)]) ).
cnf(106,negated_conjecture,
( apply(esk6_0,esk4_2(esk7_0,X1),esk3_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| member(esk1_2(esk7_0,X1),X1)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ member(esk4_2(esk7_0,X1),esk5_0) ),
inference(spm,[status(thm)],[38,23,theory(equality)]) ).
cnf(108,plain,
( apply(esk7_0,esk11_2(esk5_0,X1),X2)
| epred1_2(X1,esk5_0)
| member(esk9_2(esk5_0,X1),esk5_0)
| member(esk8_2(esk5_0,X1),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,X1),X2)
| ~ apply(esk6_0,X2,esk11_2(esk5_0,X1))
| ~ member(X2,esk5_0) ),
inference(spm,[status(thm)],[37,92,theory(equality)]) ).
cnf(113,plain,
( apply(esk7_0,esk11_2(esk5_0,X1),X2)
| epred1_2(X1,esk5_0)
| member(esk10_2(esk5_0,X1),esk5_0)
| member(esk8_2(esk5_0,X1),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,X1),X2)
| ~ apply(esk6_0,X2,esk11_2(esk5_0,X1))
| ~ member(X2,esk5_0) ),
inference(spm,[status(thm)],[37,86,theory(equality)]) ).
cnf(116,plain,
( apply(esk6_0,esk11_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk9_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,89,theory(equality)]) ).
cnf(117,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk11_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk9_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,89,theory(equality)]) ).
cnf(120,negated_conjecture,
( apply(esk6_0,esk2_2(esk7_0,X1),esk3_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| ~ member(esk2_2(esk7_0,X1),esk5_0)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,X1),esk1_2(esk7_0,X1)) ),
inference(spm,[status(thm)],[39,18,theory(equality)]) ).
cnf(121,negated_conjecture,
( apply(esk6_0,esk3_2(esk7_0,X1),esk2_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| ~ member(esk2_2(esk7_0,X1),esk5_0)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,X1),esk1_2(esk7_0,X1)) ),
inference(spm,[status(thm)],[38,18,theory(equality)]) ).
cnf(124,negated_conjecture,
( apply(esk6_0,esk3_2(esk7_0,X1),esk4_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ member(esk4_2(esk7_0,X1),esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,X1),esk1_2(esk7_0,X1)) ),
inference(spm,[status(thm)],[39,17,theory(equality)]) ).
cnf(125,negated_conjecture,
( apply(esk6_0,esk4_2(esk7_0,X1),esk3_2(esk7_0,X1))
| pre_order(esk7_0,X1)
| ~ member(esk3_2(esk7_0,X1),esk5_0)
| ~ member(esk4_2(esk7_0,X1),esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,X1),esk1_2(esk7_0,X1)) ),
inference(spm,[status(thm)],[38,17,theory(equality)]) ).
cnf(133,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk13_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk9_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,88,theory(equality)]) ).
cnf(134,plain,
( apply(esk6_0,esk13_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk9_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,88,theory(equality)]) ).
cnf(138,plain,
( apply(esk6_0,esk11_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk10_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,83,theory(equality)]) ).
cnf(139,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk11_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk10_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,83,theory(equality)]) ).
cnf(143,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk13_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk10_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,82,theory(equality)]) ).
cnf(144,plain,
( apply(esk6_0,esk13_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk10_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,82,theory(equality)]) ).
cnf(148,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk11_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,80,theory(equality)]) ).
cnf(149,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk11_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,80,theory(equality)]) ).
cnf(153,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk12_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,79,theory(equality)]) ).
cnf(154,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk12_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,79,theory(equality)]) ).
cnf(158,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk13_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,78,theory(equality)]) ).
cnf(159,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk13_2(X1,esk7_0),X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,78,theory(equality)]) ).
cnf(163,plain,
( apply(esk6_0,esk11_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| apply(esk7_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,77,theory(equality)]) ).
cnf(164,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk11_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| apply(esk7_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk11_2(X1,esk7_0),esk5_0)
| ~ member(esk12_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,77,theory(equality)]) ).
cnf(168,plain,
( apply(esk6_0,esk12_2(X1,esk7_0),esk13_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| apply(esk7_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,76,theory(equality)]) ).
cnf(169,plain,
( apply(esk6_0,esk13_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| apply(esk7_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,76,theory(equality)]) ).
cnf(176,plain,
( apply(X1,X2,esk12_2(X3,X1))
| epred1_2(X1,X3)
| member(esk8_2(X3,X1),X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk11_2(X3,X1))
| ~ member(esk11_2(X3,X1),X4)
| ~ member(esk12_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk10_2(X3,X1),esk9_2(X3,X1)) ),
inference(spm,[status(thm)],[29,71,theory(equality)]) ).
cnf(179,plain,
( apply(esk6_0,esk13_2(X1,esk7_0),esk12_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk8_2(X1,esk7_0),X1)
| ~ member(esk12_2(X1,esk7_0),esk5_0)
| ~ member(esk13_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[38,70,theory(equality)]) ).
cnf(181,plain,
( apply(X1,X2,esk13_2(X3,X1))
| epred1_2(X1,X3)
| member(esk8_2(X3,X1),X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk12_2(X3,X1))
| ~ member(esk12_2(X3,X1),X4)
| ~ member(esk13_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk10_2(X3,X1),esk9_2(X3,X1)) ),
inference(spm,[status(thm)],[29,70,theory(equality)]) ).
cnf(191,plain,
( apply(X1,X2,esk13_2(X3,X1))
| epred1_2(X1,X3)
| member(esk9_2(X3,X1),X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk12_2(X3,X1))
| ~ member(esk12_2(X3,X1),X4)
| ~ member(esk13_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk8_2(X3,X1),esk8_2(X3,X1)) ),
inference(spm,[status(thm)],[29,64,theory(equality)]) ).
cnf(201,plain,
( apply(X1,X2,esk13_2(X3,X1))
| epred1_2(X1,X3)
| member(esk10_2(X3,X1),X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk12_2(X3,X1))
| ~ member(esk12_2(X3,X1),X4)
| ~ member(esk13_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk8_2(X3,X1),esk8_2(X3,X1)) ),
inference(spm,[status(thm)],[29,58,theory(equality)]) ).
cnf(203,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk11_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[39,56,theory(equality)]) ).
cnf(204,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk11_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[38,56,theory(equality)]) ).
cnf(208,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk12_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[39,55,theory(equality)]) ).
cnf(209,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk12_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[38,55,theory(equality)]) ).
cnf(213,plain,
( apply(esk6_0,esk9_2(X1,esk7_0),esk10_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk13_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[39,54,theory(equality)]) ).
cnf(214,plain,
( apply(esk6_0,esk10_2(X1,esk7_0),esk9_2(X1,esk7_0))
| epred1_2(esk7_0,X1)
| member(esk13_2(X1,esk7_0),X1)
| ~ member(esk9_2(X1,esk7_0),esk5_0)
| ~ member(esk10_2(X1,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(X1,esk7_0),esk8_2(X1,esk7_0)) ),
inference(spm,[status(thm)],[38,54,theory(equality)]) ).
cnf(226,plain,
( apply(X1,X2,esk13_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk9_2(X3,X1),esk10_2(X3,X1))
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk12_2(X3,X1))
| ~ member(esk12_2(X3,X1),X4)
| ~ member(esk13_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk8_2(X3,X1),esk8_2(X3,X1)) ),
inference(spm,[status(thm)],[29,52,theory(equality)]) ).
cnf(231,plain,
( apply(X1,X2,esk12_2(X3,X1))
| epred1_2(X1,X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk11_2(X3,X1))
| ~ member(esk11_2(X3,X1),X4)
| ~ member(esk12_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk8_2(X3,X1),esk8_2(X3,X1))
| ~ apply(X1,esk10_2(X3,X1),esk9_2(X3,X1)) ),
inference(spm,[status(thm)],[29,47,theory(equality)]) ).
cnf(236,plain,
( apply(X1,X2,esk13_2(X3,X1))
| epred1_2(X1,X3)
| ~ pre_order(X1,X4)
| ~ apply(X1,X2,esk12_2(X3,X1))
| ~ member(esk12_2(X3,X1),X4)
| ~ member(esk13_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk8_2(X3,X1),esk8_2(X3,X1))
| ~ apply(X1,esk10_2(X3,X1),esk9_2(X3,X1)) ),
inference(spm,[status(thm)],[29,46,theory(equality)]) ).
cnf(239,negated_conjecture,
( apply(esk6_0,esk3_2(X1,esk5_0),esk3_2(X1,esk5_0))
| pre_order(X1,esk5_0)
| member(esk1_2(X1,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[98,26,theory(equality)]) ).
cnf(243,plain,
( apply(esk6_0,esk13_2(esk5_0,X1),esk13_2(esk5_0,X1))
| epred1_2(X1,esk5_0)
| member(esk9_2(esk5_0,X1),esk5_0)
| member(esk8_2(esk5_0,X1),esk5_0) ),
inference(spm,[status(thm)],[98,90,theory(equality)]) ).
cnf(246,plain,
( apply(esk6_0,esk13_2(esk5_0,X1),esk13_2(esk5_0,X1))
| epred1_2(X1,esk5_0)
| member(esk10_2(esk5_0,X1),esk5_0)
| member(esk8_2(esk5_0,X1),esk5_0) ),
inference(spm,[status(thm)],[98,84,theory(equality)]) ).
cnf(268,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[22,99,theory(equality)]) ).
cnf(286,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[268,25]) ).
cnf(298,negated_conjecture,
( apply(esk6_0,X1,esk2_2(esk7_0,X2))
| pre_order(esk7_0,X2)
| member(esk1_2(esk7_0,X2),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,X2))
| ~ member(esk3_2(esk7_0,X2),X3)
| ~ member(esk2_2(esk7_0,X2),X3)
| ~ member(X1,X3)
| ~ member(esk2_2(esk7_0,X2),esk5_0)
| ~ member(esk3_2(esk7_0,X2),esk5_0) ),
inference(spm,[status(thm)],[29,103,theory(equality)]) ).
cnf(301,negated_conjecture,
( apply(esk6_0,X1,esk4_2(esk7_0,X2))
| pre_order(esk7_0,X2)
| member(esk1_2(esk7_0,X2),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,X2))
| ~ member(esk3_2(esk7_0,X2),X3)
| ~ member(esk4_2(esk7_0,X2),X3)
| ~ member(X1,X3)
| ~ member(esk3_2(esk7_0,X2),esk5_0)
| ~ member(esk4_2(esk7_0,X2),esk5_0) ),
inference(spm,[status(thm)],[29,105,theory(equality)]) ).
cnf(314,negated_conjecture,
( apply(esk6_0,X1,esk2_2(esk7_0,X2))
| pre_order(esk7_0,X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,X2))
| ~ member(esk3_2(esk7_0,X2),X3)
| ~ member(esk2_2(esk7_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk7_0,esk1_2(esk7_0,X2),esk1_2(esk7_0,X2))
| ~ member(esk2_2(esk7_0,X2),esk5_0)
| ~ member(esk3_2(esk7_0,X2),esk5_0) ),
inference(spm,[status(thm)],[29,121,theory(equality)]) ).
cnf(317,negated_conjecture,
( apply(esk6_0,X1,esk4_2(esk7_0,X2))
| pre_order(esk7_0,X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,X2))
| ~ member(esk3_2(esk7_0,X2),X3)
| ~ member(esk4_2(esk7_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk7_0,esk1_2(esk7_0,X2),esk1_2(esk7_0,X2))
| ~ member(esk3_2(esk7_0,X2),esk5_0)
| ~ member(esk4_2(esk7_0,X2),esk5_0) ),
inference(spm,[status(thm)],[29,124,theory(equality)]) ).
cnf(347,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[87,108,theory(equality)]) ).
cnf(355,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[347,96,theory(equality)]) ).
cnf(382,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[81,113,theory(equality)]) ).
cnf(390,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[382,96,theory(equality)]) ).
cnf(428,plain,
( apply(esk6_0,X1,esk11_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk9_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk11_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk11_2(X2,esk7_0),esk5_0)
| ~ member(esk12_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,117,theory(equality)]) ).
cnf(431,plain,
( apply(esk6_0,X1,esk13_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk9_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,133,theory(equality)]) ).
cnf(446,plain,
( apply(esk6_0,X1,esk12_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk9_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk13_2(X2,esk7_0))
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,134,theory(equality)]) ).
cnf(452,plain,
( apply(esk6_0,X1,esk11_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk10_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk11_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk11_2(X2,esk7_0),esk5_0)
| ~ member(esk12_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,139,theory(equality)]) ).
cnf(459,plain,
( apply(esk6_0,X1,esk13_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk10_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,143,theory(equality)]) ).
cnf(462,plain,
( apply(esk6_0,X1,esk12_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| member(esk8_2(X2,esk7_0),X2)
| member(esk10_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk13_2(X2,esk7_0))
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,144,theory(equality)]) ).
cnf(491,plain,
( apply(esk6_0,X1,esk12_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| apply(esk7_0,esk9_2(X2,esk7_0),esk10_2(X2,esk7_0))
| member(esk8_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk11_2(X2,esk7_0))
| ~ member(esk11_2(X2,esk7_0),X3)
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk11_2(X2,esk7_0),esk5_0)
| ~ member(esk12_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,163,theory(equality)]) ).
cnf(494,plain,
( apply(esk6_0,X1,esk11_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| apply(esk7_0,esk9_2(X2,esk7_0),esk10_2(X2,esk7_0))
| member(esk8_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk11_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk11_2(X2,esk7_0),esk5_0)
| ~ member(esk12_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,164,theory(equality)]) ).
cnf(497,plain,
( apply(esk6_0,X1,esk13_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| apply(esk7_0,esk9_2(X2,esk7_0),esk10_2(X2,esk7_0))
| member(esk8_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk12_2(X2,esk7_0))
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,168,theory(equality)]) ).
cnf(527,plain,
( apply(esk6_0,X1,esk12_2(X2,esk7_0))
| epred1_2(esk7_0,X2)
| apply(esk7_0,esk9_2(X2,esk7_0),esk10_2(X2,esk7_0))
| member(esk8_2(X2,esk7_0),X2)
| ~ pre_order(esk6_0,X3)
| ~ apply(esk6_0,X1,esk13_2(X2,esk7_0))
| ~ member(esk13_2(X2,esk7_0),X3)
| ~ member(esk12_2(X2,esk7_0),X3)
| ~ member(X1,X3)
| ~ member(esk12_2(X2,esk7_0),esk5_0)
| ~ member(esk13_2(X2,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,169,theory(equality)]) ).
cnf(1339,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1) ),
inference(spm,[status(thm)],[298,239,theory(equality)]) ).
cnf(1346,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X1) ),
inference(csr,[status(thm)],[1339,103]) ).
cnf(1347,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1346,103]) ).
cnf(1348,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1347,26]) ).
cnf(1349,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1) ),
inference(csr,[status(thm)],[1348,27]) ).
cnf(1350,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk3_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[1349,36,theory(equality)]) ).
cnf(1352,negated_conjecture,
( apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[29,1350,theory(equality)]) ).
cnf(1368,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[1352,106,theory(equality)]) ).
cnf(1419,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1) ),
inference(csr,[status(thm)],[1368,25]) ).
cnf(1420,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1) ),
inference(csr,[status(thm)],[1419,26]) ).
cnf(1421,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[1420,25,theory(equality)]) ).
cnf(1423,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| $false
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(rw,[status(thm)],[1421,36,theory(equality)]) ).
cnf(1424,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(cn,[status(thm)],[1423,theory(equality)]) ).
cnf(1427,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1424,27]) ).
cnf(1428,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1427,26]) ).
cnf(1432,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[286,1428,theory(equality)]) ).
cnf(1584,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[301,25,theory(equality)]) ).
cnf(1586,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[1584,26]) ).
cnf(1587,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[1586,25,theory(equality)]) ).
cnf(1589,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| $false
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[1587,36,theory(equality)]) ).
cnf(1590,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[1589,theory(equality)]) ).
cnf(1593,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[1590,26]) ).
cnf(1597,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[1432,1593,theory(equality)]) ).
cnf(1601,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk3_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[1597,27]) ).
cnf(1602,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[1601,102,theory(equality)]) ).
cnf(1605,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1602,26]) ).
cnf(1606,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1605,27]) ).
cnf(1607,negated_conjecture,
( apply(esk7_0,esk1_2(esk7_0,esk5_0),X1)
| pre_order(esk7_0,esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),X1)
| ~ apply(esk6_0,X1,esk1_2(esk7_0,esk5_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,1606,theory(equality)]) ).
cnf(1608,negated_conjecture,
( apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| pre_order(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[98,1606,theory(equality)]) ).
cnf(1617,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[21,1607,theory(equality)]) ).
cnf(1618,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[20,1607,theory(equality)]) ).
cnf(1619,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk4_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[19,1607,theory(equality)]) ).
cnf(1631,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[1617,27]) ).
cnf(1632,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1631,1608]) ).
cnf(1633,negated_conjecture,
( apply(esk7_0,esk2_2(esk7_0,esk5_0),X1)
| pre_order(esk7_0,esk5_0)
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),X1)
| ~ apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,1632,theory(equality)]) ).
cnf(1645,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[16,1633,theory(equality)]) ).
cnf(1650,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[1618,26]) ).
cnf(1651,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1650,1608]) ).
cnf(1665,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk4_2(esk7_0,esk5_0),esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[1619,25]) ).
cnf(1666,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| member(esk4_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[1665,1608]) ).
cnf(1753,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[1645,19]) ).
cnf(2331,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[314,1607,theory(equality)]) ).
cnf(2408,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[317,1607,theory(equality)]) ).
cnf(3813,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[431,90,theory(equality)]) ).
cnf(3816,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[3813,96,theory(equality)]) ).
cnf(3819,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[3816,90,theory(equality)]) ).
cnf(3822,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[3819,36,theory(equality)]) ).
cnf(3823,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[3822,theory(equality)]) ).
cnf(3824,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[3823,96,theory(equality)]) ).
cnf(3830,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[3824,91,theory(equality)]) ).
cnf(3833,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[3830,96,theory(equality)]) ).
cnf(3936,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[446,243,theory(equality)]) ).
cnf(3948,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[3936,96,theory(equality)]) ).
cnf(3951,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[3948,90,theory(equality)]) ).
cnf(3954,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[3951,36,theory(equality)]) ).
cnf(3955,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[3954,theory(equality)]) ).
cnf(3956,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[3955,96,theory(equality)]) ).
cnf(3963,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,3956,theory(equality)]) ).
cnf(4234,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[459,84,theory(equality)]) ).
cnf(4237,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[4234,96,theory(equality)]) ).
cnf(4244,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[4237,84,theory(equality)]) ).
cnf(4249,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[4244,36,theory(equality)]) ).
cnf(4250,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[4249,theory(equality)]) ).
cnf(4251,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[4250,96,theory(equality)]) ).
cnf(4255,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[4251,85,theory(equality)]) ).
cnf(4258,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[4255,96,theory(equality)]) ).
cnf(4363,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[462,246,theory(equality)]) ).
cnf(4376,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[4363,96,theory(equality)]) ).
cnf(4382,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[4376,84,theory(equality)]) ).
cnf(4387,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[4382,36,theory(equality)]) ).
cnf(4388,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[4387,theory(equality)]) ).
cnf(4389,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[4388,96,theory(equality)]) ).
cnf(4393,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29,4389,theory(equality)]) ).
cnf(5918,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[3963,90,theory(equality)]) ).
cnf(5921,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[5918,96,theory(equality)]) ).
cnf(5923,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[5921,243,theory(equality)]) ).
cnf(5939,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[5923,96,theory(equality)]) ).
cnf(5949,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[5939,90,theory(equality)]) ).
cnf(5952,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[5949,36,theory(equality)]) ).
cnf(5953,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[5952,theory(equality)]) ).
cnf(5954,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[5953,96,theory(equality)]) ).
cnf(5963,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[428,5954,theory(equality)]) ).
cnf(5977,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[5963,96,theory(equality)]) ).
cnf(6088,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[5977,90,theory(equality)]) ).
cnf(6091,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[6088,36,theory(equality)]) ).
cnf(6092,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[6091,theory(equality)]) ).
cnf(6093,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6092,96,theory(equality)]) ).
cnf(6102,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[355,6093,theory(equality)]) ).
cnf(6118,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[6102,3833,theory(equality)]) ).
cnf(6122,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6118,116,theory(equality)]) ).
cnf(6133,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6122,96,theory(equality)]) ).
cnf(6141,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6133,90,theory(equality)]) ).
cnf(6144,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6141,96,theory(equality)]) ).
cnf(6146,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6144,91,theory(equality)]) ).
cnf(6149,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6146,96,theory(equality)]) ).
cnf(6151,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[6149,92,theory(equality)]) ).
cnf(6154,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6151,96,theory(equality)]) ).
cnf(6420,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[4393,84,theory(equality)]) ).
cnf(6423,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[6420,96,theory(equality)]) ).
cnf(6425,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[6423,246,theory(equality)]) ).
cnf(6439,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[6425,96,theory(equality)]) ).
cnf(6449,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6439,84,theory(equality)]) ).
cnf(6454,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[6449,36,theory(equality)]) ).
cnf(6455,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[6454,theory(equality)]) ).
cnf(6456,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6455,96,theory(equality)]) ).
cnf(6464,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[452,6456,theory(equality)]) ).
cnf(6475,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[6464,96,theory(equality)]) ).
cnf(6583,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6475,84,theory(equality)]) ).
cnf(6588,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[6583,36,theory(equality)]) ).
cnf(6589,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[6588,theory(equality)]) ).
cnf(6590,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6589,96,theory(equality)]) ).
cnf(6596,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[390,6590,theory(equality)]) ).
cnf(6605,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[6596,4258,theory(equality)]) ).
cnf(6608,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6605,138,theory(equality)]) ).
cnf(6618,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6608,96,theory(equality)]) ).
cnf(6626,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6618,84,theory(equality)]) ).
cnf(6629,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6626,96,theory(equality)]) ).
cnf(6631,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6629,85,theory(equality)]) ).
cnf(6634,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6631,96,theory(equality)]) ).
cnf(6636,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[6634,86,theory(equality)]) ).
cnf(6639,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6636,96,theory(equality)]) ).
cnf(6640,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk10_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,6639,theory(equality)]) ).
cnf(6690,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[74,6640,theory(equality)]) ).
cnf(6691,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[73,6640,theory(equality)]) ).
cnf(6692,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[72,6640,theory(equality)]) ).
cnf(6698,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[176,6640,theory(equality)]) ).
cnf(6700,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[181,6640,theory(equality)]) ).
cnf(6743,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6690,96,theory(equality)]) ).
cnf(6744,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6691,96,theory(equality)]) ).
cnf(6745,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6692,96,theory(equality)]) ).
cnf(6749,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6698,96,theory(equality)]) ).
cnf(6751,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6700,96,theory(equality)]) ).
cnf(6782,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6743,6154]) ).
cnf(6783,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6782,149,theory(equality)]) ).
cnf(6789,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6783,96,theory(equality)]) ).
cnf(6795,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6789,6639]) ).
cnf(6796,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6795,6154]) ).
cnf(6797,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6796,148,theory(equality)]) ).
cnf(6803,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6797,96,theory(equality)]) ).
cnf(6809,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6803,6639]) ).
cnf(6810,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6809,6154]) ).
cnf(6811,plain,
( apply(esk7_0,esk11_2(esk5_0,esk7_0),X1)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,6810,theory(equality)]) ).
cnf(6812,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[98,6810,theory(equality)]) ).
cnf(6829,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[75,6811,theory(equality)]) ).
cnf(6830,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[69,6811,theory(equality)]) ).
cnf(6868,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6829,96,theory(equality)]) ).
cnf(6869,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6830,96,theory(equality)]) ).
cnf(6876,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6744,6154]) ).
cnf(6878,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6876,154,theory(equality)]) ).
cnf(6884,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6878,96,theory(equality)]) ).
cnf(6889,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6884,6639]) ).
cnf(6890,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6889,6154]) ).
cnf(6892,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[6890,153,theory(equality)]) ).
cnf(6898,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[6892,96,theory(equality)]) ).
cnf(6903,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6898,6639]) ).
cnf(6904,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[6903,6154]) ).
cnf(6906,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[98,6904,theory(equality)]) ).
cnf(6930,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[491,6904,theory(equality)]) ).
cnf(6940,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[6930,36,theory(equality)]) ).
cnf(6941,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[6940,theory(equality)]) ).
cnf(6942,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[6941,96,theory(equality)]) ).
cnf(6951,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[494,6906,theory(equality)]) ).
cnf(6957,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[6951,96,theory(equality)]) ).
cnf(7007,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6745,6154]) ).
cnf(7010,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[7007,159,theory(equality)]) ).
cnf(7016,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[7010,96,theory(equality)]) ).
cnf(7020,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[7016,6639]) ).
cnf(7021,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[7020,6154]) ).
cnf(7024,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[7021,158,theory(equality)]) ).
cnf(7030,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[7024,96,theory(equality)]) ).
cnf(7034,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[7030,6639]) ).
cnf(7035,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[7034,6154]) ).
cnf(7037,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[98,7035,theory(equality)]) ).
cnf(7061,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[497,7035,theory(equality)]) ).
cnf(7071,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[7061,36,theory(equality)]) ).
cnf(7072,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[7071,theory(equality)]) ).
cnf(7073,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[7072,96,theory(equality)]) ).
cnf(7082,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[527,7037,theory(equality)]) ).
cnf(7088,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(sr,[status(thm)],[7082,96,theory(equality)]) ).
cnf(7162,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6868,7035]) ).
cnf(7163,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[6869,7035]) ).
cnf(7196,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[6942,6904]) ).
cnf(7197,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[7196,6810]) ).
cnf(7209,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[7197,6812,theory(equality)]) ).
cnf(7220,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[7209,6810]) ).
cnf(7257,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[7073,7035]) ).
cnf(7258,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[7257,6904]) ).
cnf(7279,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[7258,7220,theory(equality)]) ).
cnf(7314,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[7279,6810]) ).
cnf(8246,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[6957,6904]) ).
cnf(8247,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[8246,6810]) ).
cnf(8250,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[8247,6904,theory(equality)]) ).
cnf(8257,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[8250,36,theory(equality)]) ).
cnf(8258,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[8257,theory(equality)]) ).
cnf(8259,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8258,6810]) ).
cnf(8261,plain,
( apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[29,8259,theory(equality)]) ).
cnf(8336,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[7088,7035]) ).
cnf(8337,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[8336,6904]) ).
cnf(8340,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[8337,7035,theory(equality)]) ).
cnf(8347,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[8340,36,theory(equality)]) ).
cnf(8348,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[8347,theory(equality)]) ).
cnf(8349,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8348,6904]) ).
cnf(8360,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(spm,[status(thm)],[8261,8349,theory(equality)]) ).
cnf(8378,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[8360,7035,theory(equality)]) ).
cnf(8385,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[8378,36,theory(equality)]) ).
cnf(8386,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[8385,theory(equality)]) ).
cnf(8387,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8386,6810]) ).
cnf(8388,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8387,6904]) ).
cnf(8392,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[7162,8388,theory(equality)]) ).
cnf(8397,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8392,7314]) ).
cnf(8398,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,8397,theory(equality)]) ).
cnf(8399,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,8397,theory(equality)]) ).
cnf(8403,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8398,6639]) ).
cnf(8404,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8403,6154]) ).
cnf(8422,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8399,6639]) ).
cnf(8423,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[8422,6154]) ).
cnf(9906,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[2331,1606]) ).
cnf(9907,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[9906,1608]) ).
cnf(9908,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[9907,1651]) ).
cnf(9909,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk2_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[9908,1632]) ).
cnf(9914,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X1)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[9909,125,theory(equality)]) ).
cnf(10112,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X1)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1) ),
inference(csr,[status(thm)],[9914,19]) ).
cnf(10113,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X1)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),X1)
| ~ member(esk2_2(esk7_0,esk5_0),X1)
| ~ member(esk4_2(esk7_0,esk5_0),X1) ),
inference(csr,[status(thm)],[10112,20]) ).
cnf(10115,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[10113,1666,theory(equality)]) ).
cnf(10118,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| $false
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(rw,[status(thm)],[10115,36,theory(equality)]) ).
cnf(10119,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(cn,[status(thm)],[10118,theory(equality)]) ).
cnf(10120,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[10119,21]) ).
cnf(10121,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,esk4_2(esk7_0,esk5_0),esk2_2(esk7_0,esk5_0))
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[10120,20]) ).
cnf(10125,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk4_2(esk7_0,esk5_0)) ),
inference(spm,[status(thm)],[1753,10121,theory(equality)]) ).
cnf(10382,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[6749,6154]) ).
cnf(10383,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[10382,8404]) ).
cnf(10384,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[10383,8423]) ).
cnf(10387,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[10384,6904,theory(equality)]) ).
cnf(10398,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[10387,6810]) ).
cnf(10400,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),X1)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[38,10398,theory(equality)]) ).
cnf(10438,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),X1)
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[10400,6904]) ).
cnf(10457,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[10438,6811,theory(equality)]) ).
cnf(10482,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[10457,98]) ).
cnf(10483,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0) ),
inference(csr,[status(thm)],[10482,6810]) ).
cnf(10485,plain,
( apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ pre_order(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[29,10483,theory(equality)]) ).
cnf(10568,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[10485,179,theory(equality)]) ).
cnf(10589,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[10568,96,theory(equality)]) ).
cnf(12543,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[10589,7035]) ).
cnf(12544,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ pre_order(esk6_0,X1)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X1)
| ~ member(esk11_2(esk5_0,esk7_0),X1)
| ~ member(esk13_2(esk5_0,esk7_0),X1) ),
inference(csr,[status(thm)],[12543,6904]) ).
cnf(12547,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[12544,7035,theory(equality)]) ).
cnf(12554,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| $false
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[12547,36,theory(equality)]) ).
cnf(12555,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[12554,theory(equality)]) ).
cnf(12556,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[12555,6810]) ).
cnf(12557,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[12556,6904]) ).
cnf(12561,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,esk5_0) ),
inference(spm,[status(thm)],[7163,12557,theory(equality)]) ).
cnf(22549,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[2408,1606]) ).
cnf(22550,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk4_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[22549,1608]) ).
cnf(22551,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[22550,1666]) ).
cnf(22552,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,X2)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),X2)
| ~ member(esk4_2(esk7_0,esk5_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[22551,1651]) ).
cnf(22554,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ pre_order(esk6_0,esk5_0)
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[22552,1666,theory(equality)]) ).
cnf(22557,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| $false
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[22554,36,theory(equality)]) ).
cnf(22558,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[22557,theory(equality)]) ).
cnf(22559,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| apply(esk6_0,X1,esk4_2(esk7_0,esk5_0))
| ~ apply(esk6_0,X1,esk3_2(esk7_0,esk5_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[22558,1651]) ).
cnf(22565,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk3_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[10125,22559,theory(equality)]) ).
cnf(22593,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ apply(esk6_0,esk2_2(esk7_0,esk5_0),esk3_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[22565,21]) ).
cnf(22595,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0)
| ~ member(esk3_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[22593,120,theory(equality)]) ).
cnf(22612,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk2_2(esk7_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[22595,20]) ).
cnf(22613,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[22612,21]) ).
cnf(22615,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0))
| ~ member(esk1_2(esk7_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[22613,1607,theory(equality)]) ).
cnf(22616,negated_conjecture,
( pre_order(esk7_0,esk5_0)
| ~ apply(esk6_0,esk1_2(esk7_0,esk5_0),esk1_2(esk7_0,esk5_0)) ),
inference(csr,[status(thm)],[22615,1606]) ).
cnf(22617,negated_conjecture,
pre_order(esk7_0,esk5_0),
inference(csr,[status(thm)],[22616,1608]) ).
cnf(22618,negated_conjecture,
( apply(esk7_0,X1,X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[28,22617,theory(equality)]) ).
cnf(22774,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[12561,22617,theory(equality)]) ).
cnf(22775,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[22774,theory(equality)]) ).
cnf(22895,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[10398,22617,theory(equality)]) ).
cnf(22896,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[22895,theory(equality)]) ).
cnf(22960,plain,
( apply(esk7_0,esk11_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[22618,6810,theory(equality)]) ).
cnf(29003,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[6751,6154]) ).
cnf(29004,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[29003,8404]) ).
cnf(29005,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[29004,8423]) ).
cnf(29008,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[29005,7035,theory(equality)]) ).
cnf(29016,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[29008,22617,theory(equality)]) ).
cnf(29017,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[29016,theory(equality)]) ).
cnf(29020,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[29017,6904]) ).
cnf(29021,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[39,29020,theory(equality)]) ).
cnf(29061,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[29021,7035]) ).
cnf(29096,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[29061,22896,theory(equality)]) ).
cnf(29134,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29096,22960,theory(equality)]) ).
cnf(29163,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| member(esk8_2(esk5_0,esk7_0),esk5_0) ),
inference(csr,[status(thm)],[29134,6810]) ).
cnf(29175,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[22775,29163,theory(equality)]) ).
cnf(29184,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[29175,6640,theory(equality)]) ).
cnf(29398,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[29184,6154]) ).
cnf(29399,plain,
( member(esk8_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[29398,8404]) ).
cnf(29400,plain,
member(esk8_2(esk5_0,esk7_0),esk5_0),
inference(csr,[status(thm)],[29399,8423]) ).
cnf(29404,plain,
apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)),
inference(spm,[status(thm)],[22618,29400,theory(equality)]) ).
cnf(29674,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[68,29404,theory(equality)]) ).
cnf(29675,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[67,29404,theory(equality)]) ).
cnf(29676,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[66,29404,theory(equality)]) ).
cnf(29677,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[62,29404,theory(equality)]) ).
cnf(29678,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[61,29404,theory(equality)]) ).
cnf(29679,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[60,29404,theory(equality)]) ).
cnf(29684,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[191,29404,theory(equality)]) ).
cnf(29689,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[201,29404,theory(equality)]) ).
cnf(29736,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29674,96,theory(equality)]) ).
cnf(29737,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29675,96,theory(equality)]) ).
cnf(29738,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29676,96,theory(equality)]) ).
cnf(29739,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29677,96,theory(equality)]) ).
cnf(29740,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29678,96,theory(equality)]) ).
cnf(29741,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[29679,96,theory(equality)]) ).
cnf(29746,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[29684,96,theory(equality)]) ).
cnf(29751,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[29689,96,theory(equality)]) ).
cnf(31421,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[29746,29738,theory(equality)]) ).
cnf(31431,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[31421,22617,theory(equality)]) ).
cnf(31432,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[31431,theory(equality)]) ).
cnf(31435,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[31432,29737]) ).
cnf(31445,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[63,31435,theory(equality)]) ).
cnf(31459,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[31445,29404,theory(equality)]) ).
cnf(31460,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[31459,theory(equality)]) ).
cnf(31461,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[31460,96,theory(equality)]) ).
cnf(31475,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[31461,29736]) ).
cnf(31480,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[31475,65,theory(equality)]) ).
cnf(31494,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[31480,29404,theory(equality)]) ).
cnf(31495,plain,
( member(esk9_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[31494,theory(equality)]) ).
cnf(31496,plain,
member(esk9_2(esk5_0,esk7_0),esk5_0),
inference(sr,[status(thm)],[31495,96,theory(equality)]) ).
cnf(31508,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,31496,theory(equality)]) ).
cnf(31509,plain,
apply(esk6_0,esk9_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)),
inference(spm,[status(thm)],[98,31496,theory(equality)]) ).
cnf(31586,plain,
( apply(esk7_0,X1,X2)
| ~ pre_order(esk7_0,X3)
| ~ apply(esk7_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X3)
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X2)
| ~ apply(esk6_0,X2,esk9_2(esk5_0,esk7_0))
| ~ member(X2,esk5_0) ),
inference(spm,[status(thm)],[29,31508,theory(equality)]) ).
cnf(31878,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[29751,29741,theory(equality)]) ).
cnf(31888,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[31878,22617,theory(equality)]) ).
cnf(31889,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[31888,theory(equality)]) ).
cnf(31890,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[31889,29740]) ).
cnf(31901,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[57,31890,theory(equality)]) ).
cnf(31919,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[31901,29404,theory(equality)]) ).
cnf(31920,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[31919,theory(equality)]) ).
cnf(31921,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[31920,96,theory(equality)]) ).
cnf(31936,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0)) ),
inference(csr,[status(thm)],[31921,29739]) ).
cnf(31942,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[31936,59,theory(equality)]) ).
cnf(31959,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[31942,29404,theory(equality)]) ).
cnf(31960,plain,
( member(esk10_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[31959,theory(equality)]) ).
cnf(31961,plain,
member(esk10_2(esk5_0,esk7_0),esk5_0),
inference(sr,[status(thm)],[31960,96,theory(equality)]) ).
cnf(31972,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk10_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,31961,theory(equality)]) ).
cnf(32160,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[50,31972,theory(equality)]) ).
cnf(32161,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[49,31972,theory(equality)]) ).
cnf(32162,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[48,31972,theory(equality)]) ).
cnf(32243,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32160,29404,theory(equality)]) ).
cnf(32244,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[32243,31496,theory(equality)]) ).
cnf(32245,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[32244,theory(equality)]) ).
cnf(32246,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[32245,96,theory(equality)]) ).
cnf(32247,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32161,29404,theory(equality)]) ).
cnf(32248,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[32247,31496,theory(equality)]) ).
cnf(32249,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[32248,theory(equality)]) ).
cnf(32250,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[32249,96,theory(equality)]) ).
cnf(32251,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32162,29404,theory(equality)]) ).
cnf(32252,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| $false
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[32251,31496,theory(equality)]) ).
cnf(32253,plain,
( epred1_2(esk7_0,esk5_0)
| member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[32252,theory(equality)]) ).
cnf(32254,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[32253,96,theory(equality)]) ).
cnf(32380,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[32246,204,theory(equality)]) ).
cnf(32396,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32380,29404,theory(equality)]) ).
cnf(32397,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32396,31496,theory(equality)]) ).
cnf(32398,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[32397,31961,theory(equality)]) ).
cnf(32399,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[32398,theory(equality)]) ).
cnf(32400,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[32399,96,theory(equality)]) ).
cnf(32414,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[32400,203,theory(equality)]) ).
cnf(32431,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32414,29404,theory(equality)]) ).
cnf(32432,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32431,31496,theory(equality)]) ).
cnf(32433,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[32432,31961,theory(equality)]) ).
cnf(32434,plain,
( member(esk11_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[32433,theory(equality)]) ).
cnf(32435,plain,
member(esk11_2(esk5_0,esk7_0),esk5_0),
inference(sr,[status(thm)],[32434,96,theory(equality)]) ).
cnf(32449,plain,
( apply(esk7_0,esk11_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[37,32435,theory(equality)]) ).
cnf(32455,plain,
apply(esk7_0,esk11_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)),
inference(spm,[status(thm)],[22618,32435,theory(equality)]) ).
cnf(32537,plain,
( epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[45,32449,theory(equality)]) ).
cnf(32602,plain,
( epred1_2(esk7_0,esk5_0)
| $false
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32537,29404,theory(equality)]) ).
cnf(32603,plain,
( epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(cn,[status(thm)],[32602,theory(equality)]) ).
cnf(32604,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0) ),
inference(sr,[status(thm)],[32603,96,theory(equality)]) ).
cnf(32646,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[32250,209,theory(equality)]) ).
cnf(32667,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32646,29404,theory(equality)]) ).
cnf(32668,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32667,31496,theory(equality)]) ).
cnf(32669,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[32668,31961,theory(equality)]) ).
cnf(32670,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[32669,theory(equality)]) ).
cnf(32671,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[32670,96,theory(equality)]) ).
cnf(32681,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[32671,208,theory(equality)]) ).
cnf(32703,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32681,29404,theory(equality)]) ).
cnf(32704,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[32703,31496,theory(equality)]) ).
cnf(32705,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[32704,31961,theory(equality)]) ).
cnf(32706,plain,
( member(esk12_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[32705,theory(equality)]) ).
cnf(32707,plain,
member(esk12_2(esk5_0,esk7_0),esk5_0),
inference(sr,[status(thm)],[32706,96,theory(equality)]) ).
cnf(33058,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[32254,214,theory(equality)]) ).
cnf(33084,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33058,29404,theory(equality)]) ).
cnf(33085,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33084,31496,theory(equality)]) ).
cnf(33086,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[33085,31961,theory(equality)]) ).
cnf(33087,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[33086,theory(equality)]) ).
cnf(33088,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[33087,96,theory(equality)]) ).
cnf(33094,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[33088,213,theory(equality)]) ).
cnf(33121,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33094,29404,theory(equality)]) ).
cnf(33122,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33121,31496,theory(equality)]) ).
cnf(33123,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[33122,31961,theory(equality)]) ).
cnf(33124,plain,
( member(esk13_2(esk5_0,esk7_0),esk5_0)
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[33123,theory(equality)]) ).
cnf(33125,plain,
member(esk13_2(esk5_0,esk7_0),esk5_0),
inference(sr,[status(thm)],[33124,96,theory(equality)]) ).
cnf(33147,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[226,33125,theory(equality)]) ).
cnf(33222,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| $false
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[33147,22617,theory(equality)]) ).
cnf(33223,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| $false
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[33222,29404,theory(equality)]) ).
cnf(33224,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| $false
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| $false
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[33223,32707,theory(equality)]) ).
cnf(33225,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[33224,theory(equality)]) ).
cnf(33226,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(sr,[status(thm)],[33225,96,theory(equality)]) ).
cnf(33726,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| epred1_2(esk7_0,esk5_0)
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[33226,53,theory(equality)]) ).
cnf(33774,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| epred1_2(esk7_0,esk5_0)
| $false
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[33726,32435,theory(equality)]) ).
cnf(33775,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| epred1_2(esk7_0,esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[33774,29404,theory(equality)]) ).
cnf(33776,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| epred1_2(esk7_0,esk5_0) ),
inference(cn,[status(thm)],[33775,theory(equality)]) ).
cnf(33777,plain,
( apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| apply(esk7_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0)) ),
inference(sr,[status(thm)],[33776,96,theory(equality)]) ).
cnf(33878,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[51,33777,theory(equality)]) ).
cnf(33906,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[33878,29404,theory(equality)]) ).
cnf(33907,plain,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[33906,theory(equality)]) ).
cnf(33908,plain,
apply(esk7_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)),
inference(sr,[status(thm)],[33907,96,theory(equality)]) ).
cnf(33924,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[39,33908,theory(equality)]) ).
cnf(33925,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[38,33908,theory(equality)]) ).
cnf(33940,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33924,31496,theory(equality)]) ).
cnf(33941,plain,
( apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[33940,31961,theory(equality)]) ).
cnf(33942,plain,
apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[33941,theory(equality)]) ).
cnf(33943,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[33925,31496,theory(equality)]) ).
cnf(33944,plain,
( apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[33943,31961,theory(equality)]) ).
cnf(33945,plain,
apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[33944,theory(equality)]) ).
cnf(34840,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[32604,33125,theory(equality)]) ).
cnf(34841,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[34840,theory(equality)]) ).
cnf(35821,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X2)
| ~ member(X1,esk5_0)
| ~ member(X1,X2)
| ~ member(esk10_2(esk5_0,esk7_0),X2)
| ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[31586,31972,theory(equality)]) ).
cnf(35858,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X2)
| ~ member(X1,esk5_0)
| ~ member(X1,X2)
| ~ member(esk10_2(esk5_0,esk7_0),X2)
| $false
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[35821,33945,theory(equality)]) ).
cnf(35859,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X2)
| ~ member(X1,esk5_0)
| ~ member(X1,X2)
| ~ member(esk10_2(esk5_0,esk7_0),X2)
| $false
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[35858,33942,theory(equality)]) ).
cnf(35860,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X2)
| ~ member(X1,esk5_0)
| ~ member(X1,X2)
| ~ member(esk10_2(esk5_0,esk7_0),X2)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[35859,31496,theory(equality)]) ).
cnf(35861,plain,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ pre_order(esk7_0,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),X2)
| ~ member(X1,esk5_0)
| ~ member(X1,X2)
| ~ member(esk10_2(esk5_0,esk7_0),X2) ),
inference(cn,[status(thm)],[35860,theory(equality)]) ).
cnf(35878,negated_conjecture,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0)
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[35861,22617,theory(equality)]) ).
cnf(35879,negated_conjecture,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| $false
| ~ member(esk10_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[35878,31496,theory(equality)]) ).
cnf(35880,negated_conjecture,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| $false
| $false
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[35879,31961,theory(equality)]) ).
cnf(35881,negated_conjecture,
( apply(esk7_0,esk10_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),X1)
| ~ apply(esk6_0,X1,esk9_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[35880,theory(equality)]) ).
cnf(35900,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[231,35881,theory(equality)]) ).
cnf(35902,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,esk8_2(esk5_0,esk7_0),esk8_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[236,35881,theory(equality)]) ).
cnf(36010,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[35900,29404,theory(equality)]) ).
cnf(36011,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[36010,31509,theory(equality)]) ).
cnf(36012,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| $false
| $false ),
inference(rw,[status(thm)],[36011,31496,theory(equality)]) ).
cnf(36013,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[36012,theory(equality)]) ).
cnf(36014,negated_conjecture,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),X2)
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[36013,96,theory(equality)]) ).
cnf(36020,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[35902,29404,theory(equality)]) ).
cnf(36021,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[36020,31509,theory(equality)]) ).
cnf(36022,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2)
| $false
| $false ),
inference(rw,[status(thm)],[36021,31496,theory(equality)]) ).
cnf(36023,negated_conjecture,
( epred1_2(esk7_0,esk5_0)
| apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[36022,theory(equality)]) ).
cnf(36024,negated_conjecture,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,X2)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),X2)
| ~ member(esk13_2(esk5_0,esk7_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[36023,96,theory(equality)]) ).
cnf(36323,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[36014,32707,theory(equality)]) ).
cnf(36326,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[36323,22617,theory(equality)]) ).
cnf(36327,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| $false
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[36326,32435,theory(equality)]) ).
cnf(36328,plain,
( apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[36327,theory(equality)]) ).
cnf(36339,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[39,36328,theory(equality)]) ).
cnf(36340,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[38,36328,theory(equality)]) ).
cnf(36350,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[36339,32707,theory(equality)]) ).
cnf(36351,plain,
( apply(esk6_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[36350,theory(equality)]) ).
cnf(36352,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| $false
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[36340,32707,theory(equality)]) ).
cnf(36353,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| ~ apply(esk7_0,X1,esk11_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[36352,theory(equality)]) ).
cnf(36366,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[36351,32455,theory(equality)]) ).
cnf(36389,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[36366,32435,theory(equality)]) ).
cnf(36390,plain,
apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[36389,theory(equality)]) ).
cnf(36526,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[36353,32455,theory(equality)]) ).
cnf(36549,plain,
( apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[36526,32435,theory(equality)]) ).
cnf(36550,plain,
apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[36549,theory(equality)]) ).
cnf(36968,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ pre_order(esk7_0,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[36024,33125,theory(equality)]) ).
cnf(36971,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0)
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[36968,22617,theory(equality)]) ).
cnf(36972,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| $false
| ~ member(X1,esk5_0) ),
inference(rw,[status(thm)],[36971,32707,theory(equality)]) ).
cnf(36973,plain,
( apply(esk7_0,X1,esk13_2(esk5_0,esk7_0))
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0) ),
inference(cn,[status(thm)],[36972,theory(equality)]) ).
cnf(36984,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[39,36973,theory(equality)]) ).
cnf(36985,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| ~ member(esk13_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[38,36973,theory(equality)]) ).
cnf(37003,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[36984,33125,theory(equality)]) ).
cnf(37004,plain,
( apply(esk6_0,X1,esk13_2(esk5_0,esk7_0))
| ~ member(X1,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[37003,theory(equality)]) ).
cnf(37005,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| $false
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[36985,33125,theory(equality)]) ).
cnf(37006,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),X1)
| ~ member(X1,esk5_0)
| ~ apply(esk7_0,X1,esk12_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[37005,theory(equality)]) ).
cnf(37077,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[37004,32449,theory(equality)]) ).
cnf(37159,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| $false
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37077,32435,theory(equality)]) ).
cnf(37160,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| $false
| $false
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37159,36390,theory(equality)]) ).
cnf(37161,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| $false
| $false
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37160,36550,theory(equality)]) ).
cnf(37162,plain,
( apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[37161,32707,theory(equality)]) ).
cnf(37163,plain,
apply(esk6_0,esk11_2(esk5_0,esk7_0),esk13_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[37162,theory(equality)]) ).
cnf(37269,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| $false
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[34841,37163,theory(equality)]) ).
cnf(37270,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[37269,theory(equality)]) ).
cnf(37435,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk11_2(esk5_0,esk7_0),esk5_0)
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[37006,32449,theory(equality)]) ).
cnf(37517,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false
| ~ apply(esk6_0,esk11_2(esk5_0,esk7_0),esk12_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37435,32435,theory(equality)]) ).
cnf(37518,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false
| $false
| ~ apply(esk6_0,esk12_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37517,36390,theory(equality)]) ).
cnf(37519,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false
| $false
| $false
| ~ member(esk12_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37518,36550,theory(equality)]) ).
cnf(37520,plain,
( apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[37519,32707,theory(equality)]) ).
cnf(37521,plain,
apply(esk6_0,esk13_2(esk5_0,esk7_0),esk11_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[37520,theory(equality)]) ).
cnf(37817,plain,
( ~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[37270,37521,theory(equality)]) ).
cnf(37818,plain,
~ apply(esk7_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0)),
inference(cn,[status(thm)],[37817,theory(equality)]) ).
cnf(37819,plain,
( ~ apply(esk6_0,esk10_2(esk5_0,esk7_0),esk9_2(esk5_0,esk7_0))
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(spm,[status(thm)],[37818,31972,theory(equality)]) ).
cnf(37821,plain,
( $false
| ~ apply(esk6_0,esk9_2(esk5_0,esk7_0),esk10_2(esk5_0,esk7_0))
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37819,33945,theory(equality)]) ).
cnf(37822,plain,
( $false
| $false
| ~ member(esk9_2(esk5_0,esk7_0),esk5_0) ),
inference(rw,[status(thm)],[37821,33942,theory(equality)]) ).
cnf(37823,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[37822,31496,theory(equality)]) ).
cnf(37824,plain,
$false,
inference(cn,[status(thm)],[37823,theory(equality)]) ).
cnf(37825,plain,
$false,
37824,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET775+4.p
% --creating new selector for [SET006+0.ax, SET006+2.ax]
% -running prover on /tmp/tmp3JXZE-/sel_SET775+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET775+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET775+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET775+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
%
%------------------------------------------------------------------------------