TSTP Solution File: SET805+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET805+4 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 03:40:41 EST 2010
% Result : Theorem 0.37s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 136
% Number of leaves : 4
% Syntax : Number of formulae : 403 ( 20 unt; 0 def)
% Number of atoms : 2296 ( 138 equ)
% Maximal formula atoms : 256 ( 5 avg)
% Number of connectives : 2799 ( 906 ~;1728 |; 146 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 75 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 503 ( 0 sgn 86 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/tmp/tmpn2W_5A/sel_SET805+4.p_1',subset) ).
fof(2,axiom,
! [X4,X5] :
( order(X4,X5)
<=> ( ! [X3] :
( member(X3,X5)
=> apply(X4,X3,X3) )
& ! [X3,X6] :
( ( member(X3,X5)
& member(X6,X5) )
=> ( ( apply(X4,X3,X6)
& apply(X4,X6,X3) )
=> X3 = X6 ) )
& ! [X3,X6,X7] :
( ( member(X3,X5)
& member(X6,X5)
& member(X7,X5) )
=> ( ( apply(X4,X3,X6)
& apply(X4,X6,X7) )
=> apply(X4,X3,X7) ) ) ) ),
file('/tmp/tmpn2W_5A/sel_SET805+4.p_1',order) ).
fof(3,conjecture,
! [X4,X5] :
( order(X4,X5)
=> ! [X3] :
( subset(X3,X5)
=> order(X4,X3) ) ),
file('/tmp/tmpn2W_5A/sel_SET805+4.p_1',thIV17) ).
fof(4,negated_conjecture,
~ ! [X4,X5] :
( order(X4,X5)
=> ! [X3] :
( subset(X3,X5)
=> order(X4,X3) ) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X5,X4] :
( epred1_2(X4,X5)
<=> ( ! [X3] :
( member(X3,X5)
=> apply(X4,X3,X3) )
& ! [X3,X6] :
( ( member(X3,X5)
& member(X6,X5) )
=> ( ( apply(X4,X3,X6)
& apply(X4,X6,X3) )
=> X3 = X6 ) )
& ! [X3,X6,X7] :
( ( member(X3,X5)
& member(X6,X5)
& member(X7,X5) )
=> ( ( apply(X4,X3,X6)
& apply(X4,X6,X7) )
=> apply(X4,X3,X7) ) ) ) ),
introduced(definition) ).
fof(6,plain,
! [X4,X5] :
( order(X4,X5)
<=> epred1_2(X4,X5) ),
inference(apply_def,[status(esa)],[2,5,theory(equality)]) ).
fof(7,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(8,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[7]) ).
fof(9,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[8]) ).
fof(10,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( member(esk1_2(X4,X5),X4)
& ~ member(esk1_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[9]) ).
fof(11,plain,
! [X4,X5,X6] :
( ( ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( member(esk1_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[10]) ).
cnf(14,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(15,plain,
! [X4,X5] :
( ( ~ order(X4,X5)
| epred1_2(X4,X5) )
& ( ~ epred1_2(X4,X5)
| order(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(16,plain,
! [X6,X7] :
( ( ~ order(X6,X7)
| epred1_2(X6,X7) )
& ( ~ epred1_2(X6,X7)
| order(X6,X7) ) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(17,plain,
( order(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(18,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(19,negated_conjecture,
? [X4,X5] :
( order(X4,X5)
& ? [X3] :
( subset(X3,X5)
& ~ order(X4,X3) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(20,negated_conjecture,
? [X6,X7] :
( order(X6,X7)
& ? [X8] :
( subset(X8,X7)
& ~ order(X6,X8) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,negated_conjecture,
( order(esk2_0,esk3_0)
& subset(esk4_0,esk3_0)
& ~ order(esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[20]) ).
cnf(22,negated_conjecture,
~ order(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,negated_conjecture,
subset(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(24,negated_conjecture,
order(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[21]) ).
fof(25,plain,
! [X5,X4] :
( ( ~ epred1_2(X4,X5)
| ( ! [X3] :
( ~ member(X3,X5)
| apply(X4,X3,X3) )
& ! [X3,X6] :
( ~ member(X3,X5)
| ~ member(X6,X5)
| ~ apply(X4,X3,X6)
| ~ apply(X4,X6,X3)
| X3 = X6 )
& ! [X3,X6,X7] :
( ~ member(X3,X5)
| ~ member(X6,X5)
| ~ member(X7,X5)
| ~ apply(X4,X3,X6)
| ~ apply(X4,X6,X7)
| apply(X4,X3,X7) ) ) )
& ( ? [X3] :
( member(X3,X5)
& ~ apply(X4,X3,X3) )
| ? [X3,X6] :
( member(X3,X5)
& member(X6,X5)
& apply(X4,X3,X6)
& apply(X4,X6,X3)
& X3 != X6 )
| ? [X3,X6,X7] :
( member(X3,X5)
& member(X6,X5)
& member(X7,X5)
& apply(X4,X3,X6)
& apply(X4,X6,X7)
& ~ apply(X4,X3,X7) )
| epred1_2(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(26,plain,
! [X8,X9] :
( ( ~ epred1_2(X9,X8)
| ( ! [X10] :
( ~ member(X10,X8)
| apply(X9,X10,X10) )
& ! [X11,X12] :
( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| ~ apply(X9,X12,X11)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15) ) ) )
& ( ? [X16] :
( member(X16,X8)
& ~ apply(X9,X16,X16) )
| ? [X17,X18] :
( member(X17,X8)
& member(X18,X8)
& apply(X9,X17,X18)
& apply(X9,X18,X17)
& X17 != X18 )
| ? [X19,X20,X21] :
( member(X19,X8)
& member(X20,X8)
& member(X21,X8)
& apply(X9,X19,X20)
& apply(X9,X20,X21)
& ~ apply(X9,X19,X21) )
| epred1_2(X9,X8) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,plain,
! [X8,X9] :
( ( ~ epred1_2(X9,X8)
| ( ! [X10] :
( ~ member(X10,X8)
| apply(X9,X10,X10) )
& ! [X11,X12] :
( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| ~ apply(X9,X12,X11)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15) ) ) )
& ( ( member(esk5_2(X8,X9),X8)
& ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9)) )
| ( member(esk6_2(X8,X9),X8)
& member(esk7_2(X8,X9),X8)
& apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
& apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
& esk6_2(X8,X9) != esk7_2(X8,X9) )
| ( member(esk8_2(X8,X9),X8)
& member(esk9_2(X8,X9),X8)
& member(esk10_2(X8,X9),X8)
& apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
& apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
& ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9)) )
| epred1_2(X9,X8) ) ),
inference(skolemize,[status(esa)],[26]) ).
fof(28,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15] :
( ( ( ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| ~ apply(X9,X12,X11)
| X11 = X12 )
& ( ~ member(X10,X8)
| apply(X9,X10,X10) ) )
| ~ epred1_2(X9,X8) )
& ( ( member(esk5_2(X8,X9),X8)
& ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9)) )
| ( member(esk6_2(X8,X9),X8)
& member(esk7_2(X8,X9),X8)
& apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
& apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
& esk6_2(X8,X9) != esk7_2(X8,X9) )
| ( member(esk8_2(X8,X9),X8)
& member(esk9_2(X8,X9),X8)
& member(esk10_2(X8,X9),X8)
& apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
& apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
& ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9)) )
| epred1_2(X9,X8) ) ),
inference(shift_quantors,[status(thm)],[27]) ).
fof(29,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15] :
( ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15)
| ~ epred1_2(X9,X8) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| ~ apply(X9,X12,X11)
| X11 = X12
| ~ epred1_2(X9,X8) )
& ( ~ member(X10,X8)
| apply(X9,X10,X10)
| ~ epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) ) ),
inference(distribute,[status(thm)],[28]) ).
cnf(30,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(31,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(32,plain,
( epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(33,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(34,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(35,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(36,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(37,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(38,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(39,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(40,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(41,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(42,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(43,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(44,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(45,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(46,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(47,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(48,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(49,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(50,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(51,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(52,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(53,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(54,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(55,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(56,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(57,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(58,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(59,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(60,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(61,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(62,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(63,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(64,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(65,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(66,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(67,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(68,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(69,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(70,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(71,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(72,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(73,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(74,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(75,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(76,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(77,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(78,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(79,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(80,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(81,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(82,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(83,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(84,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(85,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(86,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(87,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(88,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(89,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(90,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(91,plain,
( X3 = X4
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(92,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(93,negated_conjecture,
~ epred1_2(esk2_0,esk4_0),
inference(spm,[status(thm)],[22,17,theory(equality)]) ).
cnf(94,negated_conjecture,
epred1_2(esk2_0,esk3_0),
inference(spm,[status(thm)],[18,24,theory(equality)]) ).
cnf(97,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[14,23,theory(equality)]) ).
cnf(102,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(spm,[status(thm)],[91,77,theory(equality)]) ).
cnf(104,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(spm,[status(thm)],[91,76,theory(equality)]) ).
cnf(106,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(spm,[status(thm)],[91,75,theory(equality)]) ).
cnf(113,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk6_2(X3,X1),X3)
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[92,85,theory(equality)]) ).
cnf(115,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk7_2(X3,X1),X3)
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[92,79,theory(equality)]) ).
cnf(123,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| esk7_2(X3,X1) != esk6_2(X3,X1) ),
inference(spm,[status(thm)],[92,61,theory(equality)]) ).
cnf(124,plain,
( apply(X1,X2,esk9_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk8_2(X3,X1))
| ~ member(esk8_2(X3,X1),X4)
| ~ member(esk9_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[92,74,theory(equality)]) ).
cnf(125,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[92,73,theory(equality)]) ).
cnf(129,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk7_2(X3,X1),esk6_2(X3,X1))
| member(esk5_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[92,67,theory(equality)]) ).
cnf(133,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk6_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,55,theory(equality)]) ).
cnf(137,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| member(esk7_2(X3,X1),X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,49,theory(equality)]) ).
cnf(138,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[91,47,theory(equality)]) ).
cnf(142,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[91,46,theory(equality)]) ).
cnf(146,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[91,45,theory(equality)]) ).
cnf(153,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| esk7_2(X3,X1) != esk6_2(X3,X1)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,31,theory(equality)]) ).
cnf(155,plain,
( apply(X1,X2,esk9_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk8_2(X3,X1))
| ~ member(esk8_2(X3,X1),X4)
| ~ member(esk9_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,44,theory(equality)]) ).
cnf(157,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk6_2(X3,X1),esk7_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,43,theory(equality)]) ).
cnf(159,plain,
( apply(X1,X2,esk9_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk7_2(X3,X1),esk6_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk8_2(X3,X1))
| ~ member(esk8_2(X3,X1),X4)
| ~ member(esk9_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,38,theory(equality)]) ).
cnf(161,plain,
( apply(X1,X2,esk10_2(X3,X1))
| epred1_2(X1,X3)
| apply(X1,esk7_2(X3,X1),esk6_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,X2,esk9_2(X3,X1))
| ~ member(esk9_2(X3,X1),X4)
| ~ member(esk10_2(X3,X1),X4)
| ~ member(X2,X4)
| ~ apply(X1,esk5_2(X3,X1),esk5_2(X3,X1)) ),
inference(spm,[status(thm)],[92,37,theory(equality)]) ).
cnf(163,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[90,94,theory(equality)]) ).
cnf(165,plain,
( member(esk8_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,89,theory(equality)]) ).
cnf(166,plain,
( member(esk9_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,88,theory(equality)]) ).
cnf(167,plain,
( member(esk10_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,87,theory(equality)]) ).
cnf(168,plain,
( member(esk8_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,83,theory(equality)]) ).
cnf(169,plain,
( member(esk9_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,82,theory(equality)]) ).
cnf(170,plain,
( member(esk10_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[97,81,theory(equality)]) ).
cnf(171,plain,
( member(esk8_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1) ),
inference(spm,[status(thm)],[97,65,theory(equality)]) ).
cnf(172,plain,
( member(esk9_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1) ),
inference(spm,[status(thm)],[97,64,theory(equality)]) ).
cnf(173,plain,
( member(esk10_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1) ),
inference(spm,[status(thm)],[97,63,theory(equality)]) ).
cnf(176,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[59,163,theory(equality)]) ).
cnf(177,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[58,163,theory(equality)]) ).
cnf(178,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[57,163,theory(equality)]) ).
cnf(179,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[53,163,theory(equality)]) ).
cnf(180,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[52,163,theory(equality)]) ).
cnf(181,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[51,163,theory(equality)]) ).
cnf(192,negated_conjecture,
( member(esk8_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,176,theory(equality)]) ).
cnf(193,negated_conjecture,
( member(esk8_2(esk4_0,esk2_0),esk3_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[192,93,theory(equality)]) ).
cnf(194,negated_conjecture,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,177,theory(equality)]) ).
cnf(195,negated_conjecture,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[194,93,theory(equality)]) ).
cnf(196,negated_conjecture,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,178,theory(equality)]) ).
cnf(197,negated_conjecture,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[196,93,theory(equality)]) ).
cnf(198,negated_conjecture,
( member(esk8_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,179,theory(equality)]) ).
cnf(199,negated_conjecture,
( member(esk8_2(esk4_0,esk2_0),esk3_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[198,93,theory(equality)]) ).
cnf(200,negated_conjecture,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,180,theory(equality)]) ).
cnf(201,negated_conjecture,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[200,93,theory(equality)]) ).
cnf(202,negated_conjecture,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| epred1_2(esk2_0,esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,181,theory(equality)]) ).
cnf(203,negated_conjecture,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[202,93,theory(equality)]) ).
cnf(204,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[102,71]) ).
cnf(205,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[204,65]) ).
cnf(208,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[104,70]) ).
cnf(209,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[208,64]) ).
cnf(212,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[106,69]) ).
cnf(213,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[212,63]) ).
cnf(240,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk3_0)
| ~ member(X2,esk3_0) ),
inference(spm,[status(thm)],[113,167,theory(equality)]) ).
cnf(391,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[240,166]) ).
cnf(393,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[84,391,theory(equality)]) ).
cnf(404,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[393,165]) ).
cnf(405,plain,
( epred1_2(X1,esk4_0)
| member(esk6_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[404,86]) ).
cnf(406,plain,
( member(esk6_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(spm,[status(thm)],[97,405,theory(equality)]) ).
cnf(421,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk3_0)
| ~ member(X2,esk3_0) ),
inference(spm,[status(thm)],[115,170,theory(equality)]) ).
cnf(553,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[421,169]) ).
cnf(556,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[78,553,theory(equality)]) ).
cnf(579,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[556,168]) ).
cnf(580,plain,
( epred1_2(X1,esk4_0)
| member(esk7_2(esk4_0,X1),esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[579,80]) ).
cnf(581,plain,
( member(esk7_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(spm,[status(thm)],[97,580,theory(equality)]) ).
cnf(585,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk8_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ member(esk6_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[205,581,theory(equality)]) ).
cnf(586,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk9_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ member(esk6_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[209,581,theory(equality)]) ).
cnf(587,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk10_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ member(esk6_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[213,581,theory(equality)]) ).
cnf(588,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk8_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[585,406]) ).
cnf(589,plain,
( member(esk8_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(spm,[status(thm)],[97,588,theory(equality)]) ).
cnf(590,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk9_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[586,406]) ).
cnf(591,plain,
( member(esk9_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(spm,[status(thm)],[97,590,theory(equality)]) ).
cnf(599,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| member(esk10_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[587,406]) ).
cnf(600,plain,
( member(esk10_2(esk4_0,X1),esk3_0)
| epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0) ),
inference(spm,[status(thm)],[97,599,theory(equality)]) ).
cnf(747,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk3_0)
| ~ member(X2,esk3_0) ),
inference(spm,[status(thm)],[123,173,theory(equality)]) ).
cnf(785,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk9_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk8_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk3_0)
| ~ member(X2,esk3_0) ),
inference(spm,[status(thm)],[124,591,theory(equality)]) ).
cnf(861,plain,
( epred1_2(X1,esk4_0)
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[747,172]) ).
cnf(865,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1))
| ~ member(esk8_2(esk4_0,X1),esk3_0) ),
inference(spm,[status(thm)],[60,861,theory(equality)]) ).
cnf(874,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,esk8_2(esk4_0,X1),esk9_2(esk4_0,X1)) ),
inference(csr,[status(thm)],[865,171]) ).
cnf(875,plain,
( epred1_2(X1,esk4_0)
| member(esk5_2(esk4_0,X1),esk4_0)
| esk7_2(esk4_0,X1) != esk6_2(esk4_0,X1)
| ~ epred1_2(X1,esk3_0) ),
inference(csr,[status(thm)],[874,62]) ).
cnf(891,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(esk9_2(esk4_0,X1),esk3_0)
| ~ member(X2,esk3_0) ),
inference(spm,[status(thm)],[125,600,theory(equality)]) ).
cnf(924,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk9_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk8_2(esk4_0,X1))
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[785,589]) ).
cnf(925,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[924,163,theory(equality)]) ).
cnf(926,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[925,94,theory(equality)]) ).
cnf(927,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[926,theory(equality)]) ).
cnf(928,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[927,93,theory(equality)]) ).
cnf(982,plain,
( epred1_2(X1,esk4_0)
| apply(X1,esk6_2(esk4_0,X1),esk7_2(esk4_0,X1))
| apply(X1,X2,esk10_2(esk4_0,X1))
| member(esk5_2(esk4_0,X1),esk4_0)
| ~ epred1_2(X1,esk3_0)
| ~ apply(X1,X2,esk9_2(esk4_0,X1))
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[891,591]) ).
cnf(994,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[982,928,theory(equality)]) ).
cnf(998,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[994,94,theory(equality)]) ).
cnf(999,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[998,theory(equality)]) ).
cnf(1000,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[999,93,theory(equality)]) ).
cnf(1036,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[72,1000,theory(equality)]) ).
cnf(1046,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1036,93,theory(equality)]) ).
cnf(1053,negated_conjecture,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[91,1046,theory(equality)]) ).
cnf(1056,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(spm,[status(thm)],[1053,70,theory(equality)]) ).
cnf(1057,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(spm,[status(thm)],[1053,69,theory(equality)]) ).
cnf(1062,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(sr,[status(thm)],[1056,93,theory(equality)]) ).
cnf(1063,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(sr,[status(thm)],[1057,93,theory(equality)]) ).
cnf(1092,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1062,581,theory(equality)]) ).
cnf(1097,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1092,94,theory(equality)]) ).
cnf(1098,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1097,theory(equality)]) ).
cnf(1099,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1098,93,theory(equality)]) ).
cnf(1100,plain,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,1099,theory(equality)]) ).
cnf(1133,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1063,581,theory(equality)]) ).
cnf(1138,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| $false
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1133,94,theory(equality)]) ).
cnf(1139,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1138,theory(equality)]) ).
cnf(1140,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1139,93,theory(equality)]) ).
cnf(1141,plain,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,1140,theory(equality)]) ).
cnf(1147,negated_conjecture,
( epred1_2(esk2_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk2_0))
| member(esk6_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X2,esk9_2(X1,esk2_0))
| ~ member(esk9_2(X1,esk2_0),X3)
| ~ member(esk10_2(X1,esk2_0),X3)
| ~ member(X2,X3)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[133,163,theory(equality)]) ).
cnf(1149,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[115,1141,theory(equality)]) ).
cnf(1156,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1149,94,theory(equality)]) ).
cnf(1157,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1156,theory(equality)]) ).
cnf(1158,plain,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1157,93,theory(equality)]) ).
cnf(1276,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[1158,1100]) ).
cnf(1279,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[78,1276,theory(equality)]) ).
cnf(1290,plain,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1279,93,theory(equality)]) ).
cnf(1298,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1290,80,theory(equality)]) ).
cnf(1309,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1298,93,theory(equality)]) ).
cnf(1317,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1309,168,theory(equality)]) ).
cnf(1325,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1317,93,theory(equality)]) ).
cnf(1329,plain,
( member(esk7_2(esk4_0,esk2_0),esk3_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,1325,theory(equality)]) ).
cnf(1338,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[209,1329,theory(equality)]) ).
cnf(1339,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[213,1329,theory(equality)]) ).
cnf(1347,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1338,94,theory(equality)]) ).
cnf(1348,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1347,theory(equality)]) ).
cnf(1349,plain,
( member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1348,93,theory(equality)]) ).
cnf(1350,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1339,94,theory(equality)]) ).
cnf(1351,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1350,theory(equality)]) ).
cnf(1352,plain,
( member(esk5_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1351,93,theory(equality)]) ).
cnf(1362,plain,
( member(esk9_2(esk4_0,esk2_0),esk3_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,1349,theory(equality)]) ).
cnf(1368,plain,
( member(esk10_2(esk4_0,esk2_0),esk3_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[97,1352,theory(equality)]) ).
cnf(1397,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[129,1368,theory(equality)]) ).
cnf(1409,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1397,94,theory(equality)]) ).
cnf(1410,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1409,theory(equality)]) ).
cnf(1411,plain,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1410,93,theory(equality)]) ).
cnf(1416,negated_conjecture,
( epred1_2(esk2_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk2_0))
| member(esk7_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X2,esk9_2(X1,esk2_0))
| ~ member(esk9_2(X1,esk2_0),X3)
| ~ member(esk10_2(X1,esk2_0),X3)
| ~ member(X2,X3)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[137,163,theory(equality)]) ).
cnf(1443,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[138,41]) ).
cnf(1444,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[1443,35]) ).
cnf(1445,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk6_2(X1,esk2_0),X2)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1444,163,theory(equality)]) ).
cnf(1542,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[1411,1362]) ).
cnf(1544,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| ~ epred1_2(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[1542,406,theory(equality)]) ).
cnf(1545,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[1544,94,theory(equality)]) ).
cnf(1546,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[1545,theory(equality)]) ).
cnf(1547,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[1546,93,theory(equality)]) ).
cnf(1552,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1547,68,theory(equality)]) ).
cnf(1563,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1552,93,theory(equality)]) ).
cnf(1577,plain,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[66,1563,theory(equality)]) ).
cnf(1586,plain,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1577,93,theory(equality)]) ).
cnf(1593,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(spm,[status(thm)],[1053,1586,theory(equality)]) ).
cnf(1601,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| ~ epred1_2(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[1593,589,theory(equality)]) ).
cnf(1605,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| $false ),
inference(rw,[status(thm)],[1601,94,theory(equality)]) ).
cnf(1606,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(cn,[status(thm)],[1605,theory(equality)]) ).
cnf(1607,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(sr,[status(thm)],[1606,93,theory(equality)]) ).
cnf(1611,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1607,581,theory(equality)]) ).
cnf(1618,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[1611,94,theory(equality)]) ).
cnf(1619,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1618,theory(equality)]) ).
cnf(1620,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[1619,93,theory(equality)]) ).
cnf(1624,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ epred1_2(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[1620,406,theory(equality)]) ).
cnf(1625,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[1624,94,theory(equality)]) ).
cnf(1626,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0) ),
inference(cn,[status(thm)],[1625,theory(equality)]) ).
cnf(1627,plain,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0) ),
inference(sr,[status(thm)],[1626,93,theory(equality)]) ).
cnf(1648,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[875,1627,theory(equality)]) ).
cnf(1675,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0)
| $false ),
inference(rw,[status(thm)],[1648,94,theory(equality)]) ).
cnf(1676,plain,
( epred1_2(esk2_0,esk4_0)
| member(esk5_2(esk4_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[1675,theory(equality)]) ).
cnf(1677,plain,
member(esk5_2(esk4_0,esk2_0),esk4_0),
inference(sr,[status(thm)],[1676,93,theory(equality)]) ).
cnf(1682,plain,
member(esk5_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,1677,theory(equality)]) ).
cnf(1704,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[203,1682,theory(equality)]) ).
cnf(1705,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1704,theory(equality)]) ).
cnf(1706,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[201,1682,theory(equality)]) ).
cnf(1707,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1706,theory(equality)]) ).
cnf(1708,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[199,1682,theory(equality)]) ).
cnf(1709,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1708,theory(equality)]) ).
cnf(1710,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[197,1682,theory(equality)]) ).
cnf(1711,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1710,theory(equality)]) ).
cnf(1712,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[195,1682,theory(equality)]) ).
cnf(1713,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1712,theory(equality)]) ).
cnf(1714,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk3_0)
| $false ),
inference(rw,[status(thm)],[193,1682,theory(equality)]) ).
cnf(1715,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[1714,theory(equality)]) ).
cnf(1842,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[142,40]) ).
cnf(1843,plain,
( epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[1842,34]) ).
cnf(1844,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk6_2(X1,esk2_0),X2)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1843,163,theory(equality)]) ).
cnf(2070,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[1147,1711,theory(equality)]) ).
cnf(2091,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2070,94,theory(equality)]) ).
cnf(2092,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2091,1682,theory(equality)]) ).
cnf(2093,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2092,theory(equality)]) ).
cnf(2094,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[2093,93,theory(equality)]) ).
cnf(2095,plain,
( esk7_2(X1,X2) = esk6_2(X1,X2)
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[146,39]) ).
cnf(2096,plain,
( epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| ~ epred1_2(X2,X3)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ member(esk6_2(X1,X2),X3)
| ~ member(esk7_2(X1,X2),X3) ),
inference(csr,[status(thm)],[2095,33]) ).
cnf(2097,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk6_2(X1,esk2_0),X2)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2096,163,theory(equality)]) ).
cnf(2098,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[2094,1713]) ).
cnf(2106,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[54,2098,theory(equality)]) ).
cnf(2117,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[2106,93,theory(equality)]) ).
cnf(2122,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(csr,[status(thm)],[2117,1715]) ).
cnf(2128,plain,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[2122,56,theory(equality)]) ).
cnf(2139,plain,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[2128,93,theory(equality)]) ).
cnf(2144,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2139,163,theory(equality)]) ).
cnf(2145,negated_conjecture,
( member(esk6_2(esk4_0,esk2_0),esk4_0)
| $false ),
inference(rw,[status(thm)],[2144,1682,theory(equality)]) ).
cnf(2146,negated_conjecture,
member(esk6_2(esk4_0,esk2_0),esk4_0),
inference(cn,[status(thm)],[2145,theory(equality)]) ).
cnf(2147,negated_conjecture,
member(esk6_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,2146,theory(equality)]) ).
cnf(2313,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[1416,1705,theory(equality)]) ).
cnf(2328,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2313,94,theory(equality)]) ).
cnf(2329,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2328,1682,theory(equality)]) ).
cnf(2330,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2329,theory(equality)]) ).
cnf(2331,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[2330,93,theory(equality)]) ).
cnf(2337,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(csr,[status(thm)],[2331,1707]) ).
cnf(2346,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[48,2337,theory(equality)]) ).
cnf(2359,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(sr,[status(thm)],[2346,93,theory(equality)]) ).
cnf(2363,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(csr,[status(thm)],[2359,1709]) ).
cnf(2370,plain,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| epred1_2(esk2_0,esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[2363,50,theory(equality)]) ).
cnf(2383,plain,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[2370,93,theory(equality)]) ).
cnf(2387,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2383,163,theory(equality)]) ).
cnf(2388,negated_conjecture,
( member(esk7_2(esk4_0,esk2_0),esk4_0)
| $false ),
inference(rw,[status(thm)],[2387,1682,theory(equality)]) ).
cnf(2389,negated_conjecture,
member(esk7_2(esk4_0,esk2_0),esk4_0),
inference(cn,[status(thm)],[2388,theory(equality)]) ).
cnf(2390,negated_conjecture,
member(esk7_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,2389,theory(equality)]) ).
cnf(2427,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1445,2390,theory(equality)]) ).
cnf(2428,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[1844,2390,theory(equality)]) ).
cnf(2429,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2097,2390,theory(equality)]) ).
cnf(2442,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2427,94,theory(equality)]) ).
cnf(2443,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2442,1682,theory(equality)]) ).
cnf(2444,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2443,2147,theory(equality)]) ).
cnf(2445,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk8_2(esk4_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[2444,theory(equality)]) ).
cnf(2446,negated_conjecture,
member(esk8_2(esk4_0,esk2_0),esk4_0),
inference(sr,[status(thm)],[2445,93,theory(equality)]) ).
cnf(2447,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2428,94,theory(equality)]) ).
cnf(2448,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2447,1682,theory(equality)]) ).
cnf(2449,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2448,2147,theory(equality)]) ).
cnf(2450,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk9_2(esk4_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[2449,theory(equality)]) ).
cnf(2451,negated_conjecture,
member(esk9_2(esk4_0,esk2_0),esk4_0),
inference(sr,[status(thm)],[2450,93,theory(equality)]) ).
cnf(2452,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| $false
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2429,94,theory(equality)]) ).
cnf(2453,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[2452,1682,theory(equality)]) ).
cnf(2454,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2453,2147,theory(equality)]) ).
cnf(2455,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| member(esk10_2(esk4_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[2454,theory(equality)]) ).
cnf(2456,negated_conjecture,
member(esk10_2(esk4_0,esk2_0),esk4_0),
inference(sr,[status(thm)],[2455,93,theory(equality)]) ).
cnf(2457,negated_conjecture,
member(esk8_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,2446,theory(equality)]) ).
cnf(2458,negated_conjecture,
member(esk9_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,2451,theory(equality)]) ).
cnf(2491,negated_conjecture,
member(esk10_2(esk4_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[97,2456,theory(equality)]) ).
cnf(2524,negated_conjecture,
( epred1_2(esk2_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk2_0))
| esk7_2(X1,esk2_0) != esk6_2(X1,esk2_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X2,esk9_2(X1,esk2_0))
| ~ member(esk9_2(X1,esk2_0),X3)
| ~ member(esk10_2(X1,esk2_0),X3)
| ~ member(X2,X3)
| ~ member(esk5_2(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[153,163,theory(equality)]) ).
cnf(2778,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[2524,2491,theory(equality)]) ).
cnf(2791,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2778,94,theory(equality)]) ).
cnf(2792,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2791,1682,theory(equality)]) ).
cnf(2793,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| $false
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2792,2458,theory(equality)]) ).
cnf(2794,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2793,theory(equality)]) ).
cnf(2795,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[2794,93,theory(equality)]) ).
cnf(2822,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[30,2795,theory(equality)]) ).
cnf(2849,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[2822,2457,theory(equality)]) ).
cnf(2850,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(cn,[status(thm)],[2849,theory(equality)]) ).
cnf(2851,negated_conjecture,
( esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[2850,93,theory(equality)]) ).
cnf(2862,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[155,2458,theory(equality)]) ).
cnf(2874,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2862,94,theory(equality)]) ).
cnf(2875,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| $false
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2874,2457,theory(equality)]) ).
cnf(2876,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2875,theory(equality)]) ).
cnf(2877,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[2876,93,theory(equality)]) ).
cnf(2885,plain,
( epred1_2(esk2_0,esk4_0)
| esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[2851,32,theory(equality)]) ).
cnf(2900,plain,
( esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[2885,93,theory(equality)]) ).
cnf(2905,negated_conjecture,
( esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2900,163,theory(equality)]) ).
cnf(2906,negated_conjecture,
( esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[2905,1682,theory(equality)]) ).
cnf(2907,negated_conjecture,
esk7_2(esk4_0,esk2_0) != esk6_2(esk4_0,esk2_0),
inference(cn,[status(thm)],[2906,theory(equality)]) ).
cnf(2912,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2877,163,theory(equality)]) ).
cnf(2913,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[2912,1682,theory(equality)]) ).
cnf(2914,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2913,theory(equality)]) ).
cnf(2915,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2914,163,theory(equality)]) ).
cnf(2916,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[2915,2457,theory(equality)]) ).
cnf(2917,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(cn,[status(thm)],[2916,theory(equality)]) ).
cnf(2984,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[157,2491,theory(equality)]) ).
cnf(2996,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2984,94,theory(equality)]) ).
cnf(2997,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[2996,2458,theory(equality)]) ).
cnf(2998,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[2997,theory(equality)]) ).
cnf(2999,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[2998,93,theory(equality)]) ).
cnf(3000,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[2999,163,theory(equality)]) ).
cnf(3001,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[3000,1682,theory(equality)]) ).
cnf(3002,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[3001,theory(equality)]) ).
cnf(3015,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3002,2917,theory(equality)]) ).
cnf(3050,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[3015,2457,theory(equality)]) ).
cnf(3051,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0)) ),
inference(cn,[status(thm)],[3050,theory(equality)]) ).
cnf(3067,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[42,3051,theory(equality)]) ).
cnf(3081,negated_conjecture,
( apply(esk2_0,esk6_2(esk4_0,esk2_0),esk7_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[3067,93,theory(equality)]) ).
cnf(3083,negated_conjecture,
( esk7_2(esk4_0,esk2_0) = esk6_2(esk4_0,esk2_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[91,3081,theory(equality)]) ).
cnf(3085,negated_conjecture,
( ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[3083,2907,theory(equality)]) ).
cnf(3167,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[159,2458,theory(equality)]) ).
cnf(3179,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[3167,94,theory(equality)]) ).
cnf(3180,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| $false
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[3179,2457,theory(equality)]) ).
cnf(3181,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[3180,theory(equality)]) ).
cnf(3182,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[3181,93,theory(equality)]) ).
cnf(3183,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3182,163,theory(equality)]) ).
cnf(3184,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[3183,1682,theory(equality)]) ).
cnf(3185,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[3184,theory(equality)]) ).
cnf(3186,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3185,163,theory(equality)]) ).
cnf(3187,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[3186,2457,theory(equality)]) ).
cnf(3188,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk9_2(esk4_0,esk2_0)) ),
inference(cn,[status(thm)],[3187,theory(equality)]) ).
cnf(3271,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ epred1_2(esk2_0,esk3_0)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[161,2491,theory(equality)]) ).
cnf(3283,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(esk9_2(esk4_0,esk2_0),esk3_0)
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[3271,94,theory(equality)]) ).
cnf(3284,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| $false
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| $false
| ~ member(X1,esk3_0) ),
inference(rw,[status(thm)],[3283,2458,theory(equality)]) ).
cnf(3285,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[3284,theory(equality)]) ).
cnf(3286,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(sr,[status(thm)],[3285,93,theory(equality)]) ).
cnf(3287,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3286,163,theory(equality)]) ).
cnf(3288,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0)
| $false ),
inference(rw,[status(thm)],[3287,1682,theory(equality)]) ).
cnf(3289,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,X1,esk10_2(esk4_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk4_0,esk2_0))
| ~ member(X1,esk3_0) ),
inference(cn,[status(thm)],[3288,theory(equality)]) ).
cnf(3303,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| ~ member(esk8_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3289,3188,theory(equality)]) ).
cnf(3340,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[3303,2457,theory(equality)]) ).
cnf(3341,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| apply(esk2_0,esk8_2(esk4_0,esk2_0),esk10_2(esk4_0,esk2_0)) ),
inference(cn,[status(thm)],[3340,theory(equality)]) ).
cnf(3358,negated_conjecture,
( epred1_2(esk2_0,esk4_0)
| apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(spm,[status(thm)],[36,3341,theory(equality)]) ).
cnf(3372,negated_conjecture,
( apply(esk2_0,esk7_2(esk4_0,esk2_0),esk6_2(esk4_0,esk2_0))
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0)) ),
inference(sr,[status(thm)],[3358,93,theory(equality)]) ).
cnf(3375,negated_conjecture,
( ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk5_2(esk4_0,esk2_0),esk5_2(esk4_0,esk2_0))
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(spm,[status(thm)],[3085,3372,theory(equality)]) ).
cnf(3379,negated_conjecture,
( ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| ~ member(esk5_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3375,163,theory(equality)]) ).
cnf(3380,negated_conjecture,
( ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1)
| $false ),
inference(rw,[status(thm)],[3379,1682,theory(equality)]) ).
cnf(3381,negated_conjecture,
( ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk4_0,esk2_0),X1)
| ~ member(esk7_2(esk4_0,esk2_0),X1) ),
inference(cn,[status(thm)],[3380,theory(equality)]) ).
cnf(3389,negated_conjecture,
( ~ epred1_2(esk2_0,esk3_0)
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[3381,2390,theory(equality)]) ).
cnf(3392,negated_conjecture,
( $false
| ~ member(esk6_2(esk4_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[3389,94,theory(equality)]) ).
cnf(3393,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[3392,2147,theory(equality)]) ).
cnf(3394,negated_conjecture,
$false,
inference(cn,[status(thm)],[3393,theory(equality)]) ).
cnf(3395,negated_conjecture,
$false,
3394,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET805+4.p
% --creating new selector for [SET006+0.ax, SET006+3.ax]
% -running prover on /tmp/tmpn2W_5A/sel_SET805+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET805+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET805+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET805+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
%
%------------------------------------------------------------------------------