TSTP Solution File: SET773+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET773+4 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 03:37:55 EST 2010
% Result : Theorem 2.15s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax : Number of formulae : 926
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equivalence(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
file('/tmp/tmpbbmnWi/sel_SET773+4.p_1',equivalence) ).
fof(2,conjecture,
! [X6,X7,X8,X2] :
( ( equivalence(X7,X6)
& equivalence(X8,X6)
& ! [X1,X9] :
( ( member(X1,X6)
& member(X9,X6) )
=> ( apply(X2,X1,X9)
<=> ( apply(X7,X1,X9)
& apply(X8,X1,X9) ) ) ) )
=> equivalence(X2,X6) ),
file('/tmp/tmpbbmnWi/sel_SET773+4.p_1',thIII09) ).
fof(3,negated_conjecture,
~ ! [X6,X7,X8,X2] :
( ( equivalence(X7,X6)
& equivalence(X8,X6)
& ! [X1,X9] :
( ( member(X1,X6)
& member(X9,X6) )
=> ( apply(X2,X1,X9)
<=> ( apply(X7,X1,X9)
& apply(X8,X1,X9) ) ) ) )
=> equivalence(X2,X6) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(4,plain,
! [X1,X2] :
( epred1_2(X2,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X3) )
& ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
=> apply(X2,X4,X3) ) )
& ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X4,X5) )
=> apply(X2,X3,X5) ) ) ) ),
introduced(definition) ).
fof(5,plain,
! [X1,X2] :
( equivalence(X2,X1)
<=> epred1_2(X2,X1) ),
inference(apply_def,[status(esa)],[1,4,theory(equality)]) ).
fof(6,plain,
! [X1,X2] :
( ( ~ equivalence(X2,X1)
| epred1_2(X2,X1) )
& ( ~ epred1_2(X2,X1)
| equivalence(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(7,plain,
! [X3,X4] :
( ( ~ equivalence(X4,X3)
| epred1_2(X4,X3) )
& ( ~ epred1_2(X4,X3)
| equivalence(X4,X3) ) ),
inference(variable_rename,[status(thm)],[6]) ).
cnf(8,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[7]) ).
fof(10,negated_conjecture,
? [X6,X7,X8,X2] :
( equivalence(X7,X6)
& equivalence(X8,X6)
& ! [X1,X9] :
( ~ member(X1,X6)
| ~ member(X9,X6)
| ( ( ~ apply(X2,X1,X9)
| ( apply(X7,X1,X9)
& apply(X8,X1,X9) ) )
& ( ~ apply(X7,X1,X9)
| ~ apply(X8,X1,X9)
| apply(X2,X1,X9) ) ) )
& ~ equivalence(X2,X6) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(11,negated_conjecture,
? [X10,X11,X12,X13] :
( equivalence(X11,X10)
& equivalence(X12,X10)
& ! [X14,X15] :
( ~ member(X14,X10)
| ~ member(X15,X10)
| ( ( ~ apply(X13,X14,X15)
| ( apply(X11,X14,X15)
& apply(X12,X14,X15) ) )
& ( ~ apply(X11,X14,X15)
| ~ apply(X12,X14,X15)
| apply(X13,X14,X15) ) ) )
& ~ equivalence(X13,X10) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,negated_conjecture,
( equivalence(esk2_0,esk1_0)
& equivalence(esk3_0,esk1_0)
& ! [X14,X15] :
( ~ member(X14,esk1_0)
| ~ member(X15,esk1_0)
| ( ( ~ apply(esk4_0,X14,X15)
| ( apply(esk2_0,X14,X15)
& apply(esk3_0,X14,X15) ) )
& ( ~ apply(esk2_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| apply(esk4_0,X14,X15) ) ) )
& ~ equivalence(esk4_0,esk1_0) ),
inference(skolemize,[status(esa)],[11]) ).
fof(13,negated_conjecture,
! [X14,X15] :
( ( ~ member(X14,esk1_0)
| ~ member(X15,esk1_0)
| ( ( ~ apply(esk4_0,X14,X15)
| ( apply(esk2_0,X14,X15)
& apply(esk3_0,X14,X15) ) )
& ( ~ apply(esk2_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| apply(esk4_0,X14,X15) ) ) )
& equivalence(esk2_0,esk1_0)
& equivalence(esk3_0,esk1_0)
& ~ equivalence(esk4_0,esk1_0) ),
inference(shift_quantors,[status(thm)],[12]) ).
fof(14,negated_conjecture,
! [X14,X15] :
( ( apply(esk2_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( apply(esk3_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( ~ apply(esk2_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& equivalence(esk2_0,esk1_0)
& equivalence(esk3_0,esk1_0)
& ~ equivalence(esk4_0,esk1_0) ),
inference(distribute,[status(thm)],[13]) ).
cnf(15,negated_conjecture,
~ equivalence(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(17,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(18,negated_conjecture,
( apply(esk4_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk3_0,X2,X1)
| ~ apply(esk2_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(19,negated_conjecture,
( apply(esk3_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(20,negated_conjecture,
( apply(esk2_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
fof(21,plain,
! [X1,X2] :
( ( ~ epred1_2(X2,X1)
| ( ! [X3] :
( ~ member(X3,X1)
| apply(X2,X3,X3) )
& ! [X3,X4] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ apply(X2,X3,X4)
| apply(X2,X4,X3) )
& ! [X3,X4,X5] :
( ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X2,X3,X4)
| ~ apply(X2,X4,X5)
| apply(X2,X3,X5) ) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ apply(X2,X3,X3) )
| ? [X3,X4] :
( member(X3,X1)
& member(X4,X1)
& apply(X2,X3,X4)
& ~ apply(X2,X4,X3) )
| ? [X3,X4,X5] :
( member(X3,X1)
& member(X4,X1)
& member(X5,X1)
& apply(X2,X3,X4)
& apply(X2,X4,X5)
& ~ apply(X2,X3,X5) )
| epred1_2(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(22,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ? [X14] :
( member(X14,X6)
& ~ apply(X7,X14,X14) )
| ? [X15,X16] :
( member(X15,X6)
& member(X16,X6)
& apply(X7,X15,X16)
& ~ apply(X7,X16,X15) )
| ? [X17,X18,X19] :
( member(X17,X6)
& member(X18,X6)
& member(X19,X6)
& apply(X7,X17,X18)
& apply(X7,X18,X19)
& ~ apply(X7,X17,X19) )
| epred1_2(X7,X6) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X6,X7] :
( ( ~ epred1_2(X7,X6)
| ( ! [X8] :
( ~ member(X8,X6)
| apply(X7,X8,X8) )
& ! [X9,X10] :
( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ! [X11,X12,X13] :
( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) ) ) )
& ( ( member(esk5_2(X6,X7),X6)
& ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7)) )
| ( member(esk6_2(X6,X7),X6)
& member(esk7_2(X6,X7),X6)
& apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
& ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7)) )
| ( member(esk8_2(X6,X7),X6)
& member(esk9_2(X6,X7),X6)
& member(esk10_2(X6,X7),X6)
& apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
& apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
& ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(skolemize,[status(esa)],[22]) ).
fof(24,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8) ) )
| ~ epred1_2(X7,X6) )
& ( ( member(esk5_2(X6,X7),X6)
& ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7)) )
| ( member(esk6_2(X6,X7),X6)
& member(esk7_2(X6,X7),X6)
& apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
& ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7)) )
| ( member(esk8_2(X6,X7),X6)
& member(esk9_2(X6,X7),X6)
& member(esk10_2(X6,X7),X6)
& apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
& apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
& ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7)) )
| epred1_2(X7,X6) ) ),
inference(shift_quantors,[status(thm)],[23]) ).
fof(25,plain,
! [X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ~ member(X11,X6)
| ~ member(X12,X6)
| ~ member(X13,X6)
| ~ apply(X7,X11,X12)
| ~ apply(X7,X12,X13)
| apply(X7,X11,X13)
| ~ epred1_2(X7,X6) )
& ( ~ member(X9,X6)
| ~ member(X10,X6)
| ~ apply(X7,X9,X10)
| apply(X7,X10,X9)
| ~ epred1_2(X7,X6) )
& ( ~ member(X8,X6)
| apply(X7,X8,X8)
| ~ epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| member(esk5_2(X6,X7),X6)
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| member(esk6_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| member(esk7_2(X6,X7),X6)
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| apply(X7,esk6_2(X6,X7),esk7_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk8_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk9_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( member(esk10_2(X6,X7),X6)
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk8_2(X6,X7),esk9_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( apply(X7,esk9_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) )
& ( ~ apply(X7,esk8_2(X6,X7),esk10_2(X6,X7))
| ~ apply(X7,esk7_2(X6,X7),esk6_2(X6,X7))
| ~ apply(X7,esk5_2(X6,X7),esk5_2(X6,X7))
| epred1_2(X7,X6) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(26,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(27,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,plain,
( epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(29,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(30,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(31,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(32,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)],[25]) ).
cnf(33,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)],[25]) ).
cnf(34,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)],[25]) ).
cnf(35,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)],[25]) ).
cnf(36,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)],[25]) ).
cnf(37,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)],[25]) ).
cnf(38,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)],[25]) ).
cnf(39,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)],[25]) ).
cnf(40,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)],[25]) ).
cnf(41,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)],[25]) ).
cnf(42,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)],[25]) ).
cnf(43,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)],[25]) ).
cnf(44,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)],[25]) ).
cnf(45,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)],[25]) ).
cnf(46,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)],[25]) ).
cnf(47,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)],[25]) ).
cnf(48,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)],[25]) ).
cnf(49,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)],[25]) ).
cnf(50,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)],[25]) ).
cnf(51,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(52,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(53,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(54,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(55,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(56,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)],[25]) ).
cnf(57,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)],[25]) ).
cnf(58,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)],[25]) ).
cnf(59,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)],[25]) ).
cnf(60,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)],[25]) ).
cnf(61,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)],[25]) ).
cnf(62,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)],[25]) ).
cnf(63,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)],[25]) ).
cnf(64,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)],[25]) ).
cnf(65,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)],[25]) ).
cnf(66,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)],[25]) ).
cnf(67,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)],[25]) ).
cnf(68,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)],[25]) ).
cnf(69,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)],[25]) ).
cnf(70,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)],[25]) ).
cnf(71,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)],[25]) ).
cnf(72,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)],[25]) ).
cnf(73,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)],[25]) ).
cnf(74,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(75,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(76,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)],[25]) ).
cnf(77,negated_conjecture,
~ epred1_2(esk4_0,esk1_0),
inference(spm,[status(thm)],[15,8,theory(equality)]) ).
cnf(78,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[9,17,theory(equality)]) ).
cnf(79,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[9,16,theory(equality)]) ).
cnf(81,plain,
( apply(esk2_0,esk8_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,73,theory(equality)]) ).
cnf(82,plain,
( apply(esk3_0,esk8_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,73,theory(equality)]) ).
cnf(83,plain,
( apply(esk2_0,esk9_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,72,theory(equality)]) ).
cnf(84,plain,
( apply(esk3_0,esk9_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,72,theory(equality)]) ).
cnf(85,plain,
( apply(esk2_0,esk10_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,71,theory(equality)]) ).
cnf(86,plain,
( apply(esk3_0,esk10_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,71,theory(equality)]) ).
cnf(87,plain,
( apply(esk2_0,esk8_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,67,theory(equality)]) ).
cnf(88,plain,
( apply(esk3_0,esk8_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,67,theory(equality)]) ).
cnf(89,plain,
( apply(esk2_0,esk9_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,66,theory(equality)]) ).
cnf(90,plain,
( apply(esk3_0,esk9_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,66,theory(equality)]) ).
cnf(91,plain,
( apply(esk2_0,esk10_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[20,65,theory(equality)]) ).
cnf(92,plain,
( apply(esk3_0,esk10_2(esk1_0,X1),X2)
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[19,65,theory(equality)]) ).
cnf(159,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[74,78,theory(equality)]) ).
cnf(160,negated_conjecture,
( apply(esk3_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[74,79,theory(equality)]) ).
cnf(162,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,81,theory(equality)]) ).
cnf(184,plain,
( apply(esk2_0,esk9_2(esk1_0,X1),esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[159,66,theory(equality)]) ).
cnf(210,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,82,theory(equality)]) ).
cnf(241,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk9_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk9_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,83,theory(equality)]) ).
cnf(243,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk9_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk9_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,84,theory(equality)]) ).
cnf(246,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk10_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,85,theory(equality)]) ).
cnf(248,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk10_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,86,theory(equality)]) ).
cnf(251,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,87,theory(equality)]) ).
cnf(269,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,88,theory(equality)]) ).
cnf(288,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk9_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk9_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,89,theory(equality)]) ).
cnf(290,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk9_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk9_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,90,theory(equality)]) ).
cnf(293,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ member(esk10_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,91,theory(equality)]) ).
cnf(295,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ member(esk10_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,92,theory(equality)]) ).
cnf(377,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[162,73,theory(equality)]) ).
cnf(379,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[377,78,theory(equality)]) ).
cnf(380,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[379,theory(equality)]) ).
cnf(385,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X1,X4)
| ~ member(X4,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X4)
| ~ member(X4,esk1_0) ),
inference(spm,[status(thm)],[76,380,theory(equality)]) ).
cnf(398,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[210,73,theory(equality)]) ).
cnf(400,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[398,79,theory(equality)]) ).
cnf(401,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[400,theory(equality)]) ).
cnf(405,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk3_0,X1,X4)
| ~ member(X4,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X4)
| ~ member(X4,esk1_0) ),
inference(spm,[status(thm)],[76,401,theory(equality)]) ).
cnf(446,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[241,72,theory(equality)]) ).
cnf(448,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[446,78,theory(equality)]) ).
cnf(449,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[448,theory(equality)]) ).
cnf(539,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[243,72,theory(equality)]) ).
cnf(541,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[539,79,theory(equality)]) ).
cnf(542,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[541,theory(equality)]) ).
cnf(670,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[246,71,theory(equality)]) ).
cnf(672,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[670,78,theory(equality)]) ).
cnf(673,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[672,theory(equality)]) ).
cnf(676,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,X2))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,X2),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1) ),
inference(spm,[status(thm)],[18,673,theory(equality)]) ).
cnf(695,plain,
( epred1_2(X2,esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,X2))
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,X2))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[676,71]) ).
cnf(741,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[248,71,theory(equality)]) ).
cnf(743,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[741,79,theory(equality)]) ).
cnf(744,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[743,theory(equality)]) ).
cnf(759,plain,
( epred1_2(X1,esk1_0)
| apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[695,744,theory(equality)]) ).
cnf(791,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[251,67,theory(equality)]) ).
cnf(794,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[791,78,theory(equality)]) ).
cnf(795,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[794,theory(equality)]) ).
cnf(798,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X1,X4)
| ~ member(X4,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X4)
| ~ member(X4,esk1_0) ),
inference(spm,[status(thm)],[76,795,theory(equality)]) ).
cnf(827,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[269,67,theory(equality)]) ).
cnf(830,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[827,79,theory(equality)]) ).
cnf(831,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[830,theory(equality)]) ).
cnf(833,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk3_0,X1,X4)
| ~ member(X4,X3)
| ~ member(esk8_2(esk1_0,X2),X3)
| ~ member(X1,X3)
| ~ apply(esk4_0,esk8_2(esk1_0,X2),X4)
| ~ member(X4,esk1_0) ),
inference(spm,[status(thm)],[76,831,theory(equality)]) ).
cnf(886,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[288,66,theory(equality)]) ).
cnf(889,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[886,78,theory(equality)]) ).
cnf(890,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[889,theory(equality)]) ).
cnf(985,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[290,66,theory(equality)]) ).
cnf(988,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[985,79,theory(equality)]) ).
cnf(989,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[988,theory(equality)]) ).
cnf(1130,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[293,65,theory(equality)]) ).
cnf(1133,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[1130,78,theory(equality)]) ).
cnf(1134,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[1133,theory(equality)]) ).
cnf(1135,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,X2))
| epred1_2(X2,esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,X2))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,X2),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1) ),
inference(spm,[status(thm)],[18,1134,theory(equality)]) ).
cnf(1154,plain,
( epred1_2(X2,esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,X2))
| member(esk5_2(esk1_0,X2),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X2),X1)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,X2))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[1135,65]) ).
cnf(1203,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[295,65,theory(equality)]) ).
cnf(1206,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(rw,[status(thm)],[1203,79,theory(equality)]) ).
cnf(1207,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[1206,theory(equality)]) ).
cnf(1222,plain,
( epred1_2(X1,esk1_0)
| apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[1154,1207,theory(equality)]) ).
cnf(1765,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[385,70,theory(equality)]) ).
cnf(1777,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[1765,77,theory(equality)]) ).
cnf(1787,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[1777,72,theory(equality)]) ).
cnf(1789,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[1787,77,theory(equality)]) ).
cnf(1799,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[1789,449,theory(equality)]) ).
cnf(1803,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[1799,77,theory(equality)]) ).
cnf(1805,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[405,70,theory(equality)]) ).
cnf(1817,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[1805,77,theory(equality)]) ).
cnf(1894,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[1803,72,theory(equality)]) ).
cnf(1896,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[1894,78,theory(equality)]) ).
cnf(1897,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[1896,theory(equality)]) ).
cnf(1898,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[1897,77,theory(equality)]) ).
cnf(1902,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[1898,73,theory(equality)]) ).
cnf(1904,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[1902,77,theory(equality)]) ).
cnf(1906,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,1904,theory(equality)]) ).
cnf(1913,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[1906,73,theory(equality)]) ).
cnf(1915,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[1913,77,theory(equality)]) ).
cnf(2068,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[798,64,theory(equality)]) ).
cnf(2081,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[2068,77,theory(equality)]) ).
cnf(2141,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[833,64,theory(equality)]) ).
cnf(2154,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[2141,77,theory(equality)]) ).
cnf(2674,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[1817,72,theory(equality)]) ).
cnf(2676,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[2674,77,theory(equality)]) ).
cnf(2686,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[2676,542,theory(equality)]) ).
cnf(2690,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[2686,77,theory(equality)]) ).
cnf(2802,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[2690,72,theory(equality)]) ).
cnf(2804,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[2802,79,theory(equality)]) ).
cnf(2805,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[2804,theory(equality)]) ).
cnf(2806,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[2805,77,theory(equality)]) ).
cnf(2810,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[2806,73,theory(equality)]) ).
cnf(2812,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[2810,77,theory(equality)]) ).
cnf(2818,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[1915,2812,theory(equality)]) ).
cnf(2824,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2818,69,theory(equality)]) ).
cnf(2840,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2824,77,theory(equality)]) ).
cnf(2852,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[759,2840,theory(equality)]) ).
cnf(2861,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2852,77,theory(equality)]) ).
cnf(2881,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[68,2861,theory(equality)]) ).
cnf(2899,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2881,77,theory(equality)]) ).
cnf(2914,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2899,71,theory(equality)]) ).
cnf(2916,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2914,77,theory(equality)]) ).
cnf(2918,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(spm,[status(thm)],[2916,73,theory(equality)]) ).
cnf(2920,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2918,77,theory(equality)]) ).
cnf(2922,plain,
( apply(esk2_0,esk6_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,2920,theory(equality)]) ).
cnf(2923,plain,
( apply(esk3_0,esk6_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,2920,theory(equality)]) ).
cnf(2932,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,2922,theory(equality)]) ).
cnf(2943,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,2923,theory(equality)]) ).
cnf(2961,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[2932,2920,theory(equality)]) ).
cnf(2962,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[2961,78,theory(equality)]) ).
cnf(2963,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[2962,theory(equality)]) ).
cnf(2964,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,2963,theory(equality)]) ).
cnf(2966,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,2963,theory(equality)]) ).
cnf(2967,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[2943,2920,theory(equality)]) ).
cnf(2968,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[2967,79,theory(equality)]) ).
cnf(2969,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[2968,theory(equality)]) ).
cnf(2973,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[2964,2920]) ).
cnf(2974,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[2973,2969]) ).
cnf(2975,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2974,61,theory(equality)]) ).
cnf(2976,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2974,60,theory(equality)]) ).
cnf(2977,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2974,59,theory(equality)]) ).
cnf(2982,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2975,77,theory(equality)]) ).
cnf(2983,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2976,77,theory(equality)]) ).
cnf(2984,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2977,77,theory(equality)]) ).
cnf(2991,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[55,2982,theory(equality)]) ).
cnf(3001,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[2991,77,theory(equality)]) ).
cnf(3011,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[20,3001,theory(equality)]) ).
cnf(3012,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[19,3001,theory(equality)]) ).
cnf(3029,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[54,2983,theory(equality)]) ).
cnf(3039,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[3029,77,theory(equality)]) ).
cnf(3068,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[20,3039,theory(equality)]) ).
cnf(3069,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[19,3039,theory(equality)]) ).
cnf(3099,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,3011,theory(equality)]) ).
cnf(3107,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,3012,theory(equality)]) ).
cnf(3116,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,3068,theory(equality)]) ).
cnf(3124,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,3069,theory(equality)]) ).
cnf(3136,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[53,2984,theory(equality)]) ).
cnf(3146,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[3136,77,theory(equality)]) ).
cnf(3156,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[19,3146,theory(equality)]) ).
cnf(3195,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,3156,theory(equality)]) ).
cnf(3316,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3099,3001,theory(equality)]) ).
cnf(3322,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[3316,78,theory(equality)]) ).
cnf(3323,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[3322,theory(equality)]) ).
cnf(3324,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,3323,theory(equality)]) ).
cnf(3330,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[3324,3001]) ).
cnf(3353,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3107,3001,theory(equality)]) ).
cnf(3359,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[3353,79,theory(equality)]) ).
cnf(3360,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[3359,theory(equality)]) ).
cnf(3365,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3330,3360,theory(equality)]) ).
cnf(3458,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3116,3039,theory(equality)]) ).
cnf(3464,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[3458,78,theory(equality)]) ).
cnf(3465,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[3464,theory(equality)]) ).
cnf(3470,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,3465,theory(equality)]) ).
cnf(3476,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[3470,3039]) ).
cnf(3499,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3124,3039,theory(equality)]) ).
cnf(3505,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[3499,79,theory(equality)]) ).
cnf(3506,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[3505,theory(equality)]) ).
cnf(3511,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3476,3506,theory(equality)]) ).
cnf(3516,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[3511,51,theory(equality)]) ).
cnf(3530,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[3516,77,theory(equality)]) ).
cnf(3561,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[3530,3146]) ).
cnf(3688,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[3195,3146,theory(equality)]) ).
cnf(3694,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[3688,79,theory(equality)]) ).
cnf(3695,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[3694,theory(equality)]) ).
cnf(3979,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[2966,61,theory(equality)]) ).
cnf(3980,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[2966,60,theory(equality)]) ).
cnf(3981,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[2966,59,theory(equality)]) ).
cnf(3986,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[3979,77,theory(equality)]) ).
cnf(3987,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[3980,77,theory(equality)]) ).
cnf(3988,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[3981,77,theory(equality)]) ).
cnf(4186,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[2081,66,theory(equality)]) ).
cnf(4189,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[4186,77,theory(equality)]) ).
cnf(4192,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[4189,184,theory(equality)]) ).
cnf(4199,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4189,890,theory(equality)]) ).
cnf(4207,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(sr,[status(thm)],[4192,77,theory(equality)]) ).
cnf(4209,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4199,77,theory(equality)]) ).
cnf(4211,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[4207,66,theory(equality)]) ).
cnf(4216,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[4211,78,theory(equality)]) ).
cnf(4217,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[4216,theory(equality)]) ).
cnf(4218,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[4217,77,theory(equality)]) ).
cnf(4222,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[75,4218,theory(equality)]) ).
cnf(4240,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[4222,66,theory(equality)]) ).
cnf(4245,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[4240,78,theory(equality)]) ).
cnf(4246,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[4245,theory(equality)]) ).
cnf(4247,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[4246,77,theory(equality)]) ).
cnf(4252,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[76,4247,theory(equality)]) ).
cnf(4265,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4209,66,theory(equality)]) ).
cnf(4270,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[4265,78,theory(equality)]) ).
cnf(4271,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[4270,theory(equality)]) ).
cnf(4272,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4271,77,theory(equality)]) ).
cnf(4299,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4272,67,theory(equality)]) ).
cnf(4302,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4299,77,theory(equality)]) ).
cnf(4303,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,4302,theory(equality)]) ).
cnf(4311,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4303,67,theory(equality)]) ).
cnf(4314,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4311,77,theory(equality)]) ).
cnf(4604,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4252,66,theory(equality)]) ).
cnf(4609,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[4604,78,theory(equality)]) ).
cnf(4610,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[4609,theory(equality)]) ).
cnf(4611,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4610,77,theory(equality)]) ).
cnf(4615,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4611,67,theory(equality)]) ).
cnf(4618,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4615,77,theory(equality)]) ).
cnf(4619,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[18,4618,theory(equality)]) ).
cnf(4620,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,4618,theory(equality)]) ).
cnf(4633,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4619,66,theory(equality)]) ).
cnf(4636,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4633,77,theory(equality)]) ).
cnf(4654,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[4636,4302,theory(equality)]) ).
cnf(4689,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[4654,3511]) ).
cnf(4699,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4689,989,theory(equality)]) ).
cnf(4707,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4699,77,theory(equality)]) ).
cnf(4711,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[4707,3511]) ).
cnf(4892,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[4620,795,theory(equality)]) ).
cnf(4900,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[4620,4302,theory(equality)]) ).
cnf(4905,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(sr,[status(thm)],[4892,77,theory(equality)]) ).
cnf(4908,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4905,66,theory(equality)]) ).
cnf(4913,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[4908,78,theory(equality)]) ).
cnf(4914,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[4913,theory(equality)]) ).
cnf(4915,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4914,77,theory(equality)]) ).
cnf(4919,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,4915,theory(equality)]) ).
cnf(4988,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[4900,3068]) ).
cnf(4990,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4988,66,theory(equality)]) ).
cnf(4995,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[4990,78,theory(equality)]) ).
cnf(4996,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[4995,theory(equality)]) ).
cnf(4997,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[4996,77,theory(equality)]) ).
cnf(5003,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[4997,3068]) ).
cnf(5005,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,5003,theory(equality)]) ).
cnf(5018,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[5005,66,theory(equality)]) ).
cnf(5023,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[5018,78,theory(equality)]) ).
cnf(5024,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[5023,theory(equality)]) ).
cnf(5025,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5024,77,theory(equality)]) ).
cnf(5031,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[5025,3465]) ).
cnf(5034,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,5031,theory(equality)]) ).
cnf(5050,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4919,66,theory(equality)]) ).
cnf(5055,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[5050,78,theory(equality)]) ).
cnf(5056,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[5055,theory(equality)]) ).
cnf(5057,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5056,77,theory(equality)]) ).
cnf(5065,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4189,5057,theory(equality)]) ).
cnf(5145,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[5065,3323]) ).
cnf(5147,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[5145,66,theory(equality)]) ).
cnf(5152,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[5147,78,theory(equality)]) ).
cnf(5153,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[5152,theory(equality)]) ).
cnf(5154,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5153,77,theory(equality)]) ).
cnf(5161,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[5154,3323]) ).
cnf(5163,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[5161,67,theory(equality)]) ).
cnf(5166,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5163,77,theory(equality)]) ).
cnf(5176,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[5166,3323]) ).
cnf(5177,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,5176,theory(equality)]) ).
cnf(5179,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,5176,theory(equality)]) ).
cnf(5187,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[5177,67,theory(equality)]) ).
cnf(5190,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5187,77,theory(equality)]) ).
cnf(5195,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[5190,3365]) ).
cnf(5205,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[5195,831,theory(equality)]) ).
cnf(5213,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[5205,77,theory(equality)]) ).
cnf(5217,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[5213,3365]) ).
cnf(5220,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[5217,58,theory(equality)]) ).
cnf(5221,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[5217,52,theory(equality)]) ).
cnf(5235,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[5220,77,theory(equality)]) ).
cnf(5236,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[5221,77,theory(equality)]) ).
cnf(5282,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[75,5235,theory(equality)]) ).
cnf(5312,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[75,5236,theory(equality)]) ).
cnf(5524,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[5034,57,theory(equality)]) ).
cnf(5525,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[5034,51,theory(equality)]) ).
cnf(5544,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[5524,77,theory(equality)]) ).
cnf(5545,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[5525,77,theory(equality)]) ).
cnf(5554,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[5179,52,theory(equality)]) ).
cnf(5571,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[5554,77,theory(equality)]) ).
cnf(6003,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[2154,66,theory(equality)]) ).
cnf(6006,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[6003,77,theory(equality)]) ).
cnf(6017,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[6006,989,theory(equality)]) ).
cnf(6027,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[6017,77,theory(equality)]) ).
cnf(6203,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[6027,66,theory(equality)]) ).
cnf(6208,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[6203,79,theory(equality)]) ).
cnf(6209,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[6208,theory(equality)]) ).
cnf(6210,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[6209,77,theory(equality)]) ).
cnf(6214,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[6210,67,theory(equality)]) ).
cnf(6217,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[6214,77,theory(equality)]) ).
cnf(6247,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[4314,6217,theory(equality)]) ).
cnf(6253,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[6247,63,theory(equality)]) ).
cnf(6276,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6253,77,theory(equality)]) ).
cnf(6288,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[1222,6276,theory(equality)]) ).
cnf(6305,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6288,77,theory(equality)]) ).
cnf(6339,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[62,6305,theory(equality)]) ).
cnf(6365,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6339,77,theory(equality)]) ).
cnf(6387,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[6365,65,theory(equality)]) ).
cnf(6390,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6387,77,theory(equality)]) ).
cnf(6392,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(spm,[status(thm)],[6390,67,theory(equality)]) ).
cnf(6395,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6392,77,theory(equality)]) ).
cnf(6398,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[159,6395,theory(equality)]) ).
cnf(6710,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[3986,3001]) ).
cnf(6711,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[6710,3001]) ).
cnf(6712,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[6711,6395]) ).
cnf(6723,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[6712,6398,theory(equality)]) ).
cnf(6726,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[6723,2920,theory(equality)]) ).
cnf(6727,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[6726,78,theory(equality)]) ).
cnf(6728,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[6727,theory(equality)]) ).
cnf(6729,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,6728,theory(equality)]) ).
cnf(6776,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[6729,2920]) ).
cnf(6777,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[6776,6395]) ).
cnf(6778,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[6777,2969,theory(equality)]) ).
cnf(6780,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[6778,6395]) ).
cnf(6783,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[55,6780,theory(equality)]) ).
cnf(6799,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[6783,77,theory(equality)]) ).
cnf(6809,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(spm,[status(thm)],[6799,61,theory(equality)]) ).
cnf(6815,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[6809,77,theory(equality)]) ).
cnf(6822,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,6815,theory(equality)]) ).
cnf(6845,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,6822,theory(equality)]) ).
cnf(6917,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[6845,6815,theory(equality)]) ).
cnf(6924,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[6917,79,theory(equality)]) ).
cnf(6925,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[6924,theory(equality)]) ).
cnf(6927,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,6925,theory(equality)]) ).
cnf(7082,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[6927,58,theory(equality)]) ).
cnf(7097,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[7082,77,theory(equality)]) ).
cnf(7223,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[3987,3039]) ).
cnf(7224,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[7223,3039]) ).
cnf(7225,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[7224,6395]) ).
cnf(7236,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[7225,6398,theory(equality)]) ).
cnf(7239,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[7236,2920,theory(equality)]) ).
cnf(7240,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[7239,78,theory(equality)]) ).
cnf(7241,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[7240,theory(equality)]) ).
cnf(7275,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,7241,theory(equality)]) ).
cnf(7294,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[7275,2920]) ).
cnf(7295,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[7294,6395]) ).
cnf(7296,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[7295,2969,theory(equality)]) ).
cnf(7298,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[7296,6395]) ).
cnf(7302,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[54,7298,theory(equality)]) ).
cnf(7317,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[7302,77,theory(equality)]) ).
cnf(7327,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(spm,[status(thm)],[7317,60,theory(equality)]) ).
cnf(7333,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[7327,77,theory(equality)]) ).
cnf(7340,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,7333,theory(equality)]) ).
cnf(7341,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[159,7333,theory(equality)]) ).
cnf(7357,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[5282,7333,theory(equality)]) ).
cnf(7358,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[5312,7333,theory(equality)]) ).
cnf(7373,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,7340,theory(equality)]) ).
cnf(7464,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[7373,7333,theory(equality)]) ).
cnf(7471,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[7464,79,theory(equality)]) ).
cnf(7472,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[7471,theory(equality)]) ).
cnf(7486,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[7357,6815]) ).
cnf(7487,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0) ),
inference(csr,[status(thm)],[7486,7333]) ).
cnf(7488,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[7487,58]) ).
cnf(7503,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[5217,7488,theory(equality)]) ).
cnf(7532,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[7503,7333]) ).
cnf(7588,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[7358,6815]) ).
cnf(7589,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[7588,7333]) ).
cnf(7590,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[7589,52]) ).
cnf(7605,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[5217,7590,theory(equality)]) ).
cnf(7634,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[7605,7333]) ).
cnf(7987,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(esk7_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[3988,3146]) ).
cnf(7988,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[7987,3146]) ).
cnf(7989,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk6_2(esk1_0,esk4_0),X2) ),
inference(csr,[status(thm)],[7988,6395]) ).
cnf(8000,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[7989,6398,theory(equality)]) ).
cnf(8003,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[8000,2920,theory(equality)]) ).
cnf(8004,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[8003,78,theory(equality)]) ).
cnf(8005,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[8004,theory(equality)]) ).
cnf(8006,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,8005,theory(equality)]) ).
cnf(8053,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[8006,2920]) ).
cnf(8054,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[8053,6395]) ).
cnf(8055,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[8054,2969,theory(equality)]) ).
cnf(8057,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[8055,6395]) ).
cnf(8062,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[53,8057,theory(equality)]) ).
cnf(8078,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[8062,77,theory(equality)]) ).
cnf(8088,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(spm,[status(thm)],[8078,59,theory(equality)]) ).
cnf(8094,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[8088,77,theory(equality)]) ).
cnf(8102,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,8094,theory(equality)]) ).
cnf(8103,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,8094,theory(equality)]) ).
cnf(8104,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[159,8094,theory(equality)]) ).
cnf(8136,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,8102,theory(equality)]) ).
cnf(8148,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,8103,theory(equality)]) ).
cnf(8210,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[8136,8094,theory(equality)]) ).
cnf(8217,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[8210,78,theory(equality)]) ).
cnf(8218,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[8217,theory(equality)]) ).
cnf(8219,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,8218,theory(equality)]) ).
cnf(8249,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[8219,8094]) ).
cnf(8261,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[8249,3695,theory(equality)]) ).
cnf(8275,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[8261,6395]) ).
cnf(8279,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[8275,3561,theory(equality)]) ).
cnf(8292,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[8148,8094,theory(equality)]) ).
cnf(8299,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[8292,79,theory(equality)]) ).
cnf(8300,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[8299,theory(equality)]) ).
cnf(8307,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,8300,theory(equality)]) ).
cnf(8402,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[8279,6395]) ).
cnf(8403,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[8402,7333]) ).
cnf(8416,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[4711,8403,theory(equality)]) ).
cnf(8447,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[8416,8094]) ).
cnf(9855,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[5544,8094]) ).
cnf(9870,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[9855,8104,theory(equality)]) ).
cnf(9879,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[9870,8094,theory(equality)]) ).
cnf(9886,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[9879,78,theory(equality)]) ).
cnf(9887,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[9886,theory(equality)]) ).
cnf(9888,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[9887,7333]) ).
cnf(9890,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[75,9888,theory(equality)]) ).
cnf(9899,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[9890,8094,theory(equality)]) ).
cnf(9906,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[9899,78,theory(equality)]) ).
cnf(9907,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[9906,theory(equality)]) ).
cnf(9908,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[9907,7333]) ).
cnf(9911,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[76,9908,theory(equality)]) ).
cnf(9949,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[9911,8094,theory(equality)]) ).
cnf(9956,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[9949,78,theory(equality)]) ).
cnf(9957,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[9956,theory(equality)]) ).
cnf(9958,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[9957,7333]) ).
cnf(9971,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[9958,5031,theory(equality)]) ).
cnf(10004,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[9971,7532,theory(equality)]) ).
cnf(10021,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[10004,6815]) ).
cnf(10022,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,10021,theory(equality)]) ).
cnf(10023,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[75,10021,theory(equality)]) ).
cnf(10088,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[10023,8094,theory(equality)]) ).
cnf(10095,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[10088,78,theory(equality)]) ).
cnf(10096,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[10095,theory(equality)]) ).
cnf(10097,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[10096,6815]) ).
cnf(10098,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,10097,theory(equality)]) ).
cnf(10164,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[10022,8094]) ).
cnf(10165,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[10164,6815]) ).
cnf(10171,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[10165,8300,theory(equality)]) ).
cnf(10174,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[10171,6815]) ).
cnf(10183,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[10098,6815]) ).
cnf(10184,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[10183,8094]) ).
cnf(12516,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[5545,8094]) ).
cnf(12622,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[5571,7333]) ).
cnf(12655,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[7097,7333]) ).
cnf(12671,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[12655,7472,theory(equality)]) ).
cnf(13131,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[12671,7333,theory(equality)]) ).
cnf(13138,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[13131,79,theory(equality)]) ).
cnf(13139,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[13138,theory(equality)]) ).
cnf(13140,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[13139,6815]) ).
cnf(13143,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13140,57,theory(equality)]) ).
cnf(13162,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[13143,77,theory(equality)]) ).
cnf(13170,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13162,8094]) ).
cnf(13176,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[10184,13170,theory(equality)]) ).
cnf(13205,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[10174,13176,theory(equality)]) ).
cnf(13232,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[56,13205,theory(equality)]) ).
cnf(13269,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[13232,77,theory(equality)]) ).
cnf(13304,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[2974,13269,theory(equality)]) ).
cnf(13309,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13304,6395]) ).
cnf(13331,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[12516,13309,theory(equality)]) ).
cnf(13332,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[12622,13309,theory(equality)]) ).
cnf(13512,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[13331,8104,theory(equality)]) ).
cnf(13521,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13512,8094,theory(equality)]) ).
cnf(13528,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[13521,78,theory(equality)]) ).
cnf(13529,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[13528,theory(equality)]) ).
cnf(13530,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13529,7333]) ).
cnf(13532,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[75,13530,theory(equality)]) ).
cnf(13541,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13532,8094,theory(equality)]) ).
cnf(13548,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[13541,78,theory(equality)]) ).
cnf(13549,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[13548,theory(equality)]) ).
cnf(13550,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13549,7333]) ).
cnf(13551,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,13550,theory(equality)]) ).
cnf(13553,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[76,13550,theory(equality)]) ).
cnf(13632,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13551,8094]) ).
cnf(13633,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[13632,7333]) ).
cnf(13639,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13633,8300,theory(equality)]) ).
cnf(13642,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[13639,7333]) ).
cnf(13643,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[13642,8447,theory(equality)]) ).
cnf(13645,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13643,13309]) ).
cnf(13658,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[4711,13645,theory(equality)]) ).
cnf(13690,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13658,8094]) ).
cnf(13713,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[8307,13690,theory(equality)]) ).
cnf(13794,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[13332,7341,theory(equality)]) ).
cnf(13803,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13794,7333,theory(equality)]) ).
cnf(13810,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[13803,78,theory(equality)]) ).
cnf(13811,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[13810,theory(equality)]) ).
cnf(13812,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13811,6815]) ).
cnf(13814,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[75,13812,theory(equality)]) ).
cnf(13823,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13814,7333,theory(equality)]) ).
cnf(13830,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[13823,78,theory(equality)]) ).
cnf(13831,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[13830,theory(equality)]) ).
cnf(13832,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13831,6815]) ).
cnf(13833,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,13832,theory(equality)]) ).
cnf(13914,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13833,7333]) ).
cnf(13915,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[13914,6815]) ).
cnf(13921,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[13915,7472,theory(equality)]) ).
cnf(13924,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[13921,6815]) ).
cnf(13925,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[13924,7634,theory(equality)]) ).
cnf(13927,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13925,13309]) ).
cnf(13942,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[5217,13927,theory(equality)]) ).
cnf(13972,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[13942,7333]) ).
cnf(14068,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[13553,8094,theory(equality)]) ).
cnf(14075,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[14068,78,theory(equality)]) ).
cnf(14076,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[14075,theory(equality)]) ).
cnf(14077,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[14076,7333]) ).
cnf(14078,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[18,14077,theory(equality)]) ).
cnf(14095,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[14078,8094]) ).
cnf(14108,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[14095,5031,theory(equality)]) ).
cnf(16384,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[13713,7333]) ).
cnf(16387,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[16384,8094,theory(equality)]) ).
cnf(16394,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[16387,79,theory(equality)]) ).
cnf(16395,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[16394,theory(equality)]) ).
cnf(16396,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[16395,7333]) ).
cnf(16402,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[14108,16396,theory(equality)]) ).
cnf(16413,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[16402,7472]) ).
cnf(16426,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[16413,13972,theory(equality)]) ).
cnf(16439,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[16426,6815]) ).
cnf(16445,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[50,16439,theory(equality)]) ).
cnf(16477,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[16445,77,theory(equality)]) ).
cnf(16509,plain,
member(esk5_2(esk1_0,esk4_0),esk1_0),
inference(csr,[status(thm)],[16477,13309]) ).
cnf(16512,plain,
apply(esk2_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[159,16509,theory(equality)]) ).
cnf(16513,plain,
apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[160,16509,theory(equality)]) ).
cnf(16702,plain,
( apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,16512,theory(equality)]) ).
cnf(16705,plain,
( apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[16702,16509,theory(equality)]) ).
cnf(16706,plain,
( apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[16705,theory(equality)]) ).
cnf(16731,plain,
( apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[16706,16513,theory(equality)]) ).
cnf(16732,plain,
apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[16731,theory(equality)]) ).
cnf(16735,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[49,16732,theory(equality)]) ).
cnf(16736,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[48,16732,theory(equality)]) ).
cnf(16737,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[47,16732,theory(equality)]) ).
cnf(16738,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[43,16732,theory(equality)]) ).
cnf(16739,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[42,16732,theory(equality)]) ).
cnf(16740,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[41,16732,theory(equality)]) ).
cnf(16749,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16735,77,theory(equality)]) ).
cnf(16750,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16736,77,theory(equality)]) ).
cnf(16751,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16737,77,theory(equality)]) ).
cnf(16752,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16738,77,theory(equality)]) ).
cnf(16753,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16739,77,theory(equality)]) ).
cnf(16754,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[16740,77,theory(equality)]) ).
cnf(16762,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,16749,theory(equality)]) ).
cnf(16763,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,16749,theory(equality)]) ).
cnf(16766,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,16750,theory(equality)]) ).
cnf(16767,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,16750,theory(equality)]) ).
cnf(16799,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,16751,theory(equality)]) ).
cnf(16800,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,16751,theory(equality)]) ).
cnf(16985,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16762,theory(equality)]) ).
cnf(16993,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16763,theory(equality)]) ).
cnf(17002,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16766,theory(equality)]) ).
cnf(17010,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16767,theory(equality)]) ).
cnf(17022,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16799,theory(equality)]) ).
cnf(17030,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,16800,theory(equality)]) ).
cnf(17448,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[16985,16749,theory(equality)]) ).
cnf(17456,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17448,78,theory(equality)]) ).
cnf(17457,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17456,theory(equality)]) ).
cnf(17462,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,17457,theory(equality)]) ).
cnf(17495,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[16993,16749,theory(equality)]) ).
cnf(17503,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17495,79,theory(equality)]) ).
cnf(17504,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17503,theory(equality)]) ).
cnf(17508,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,17504,theory(equality)]) ).
cnf(17608,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17002,16750,theory(equality)]) ).
cnf(17616,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17608,78,theory(equality)]) ).
cnf(17617,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17616,theory(equality)]) ).
cnf(17620,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,17617,theory(equality)]) ).
cnf(17627,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[17620,16750]) ).
cnf(17655,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17010,16750,theory(equality)]) ).
cnf(17663,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17655,79,theory(equality)]) ).
cnf(17664,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17663,theory(equality)]) ).
cnf(17671,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17627,17664,theory(equality)]) ).
cnf(17678,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[17671,45,theory(equality)]) ).
cnf(17691,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[17678,16732,theory(equality)]) ).
cnf(17692,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[17691,theory(equality)]) ).
cnf(17693,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[17692,77,theory(equality)]) ).
cnf(17705,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[17693,16751]) ).
cnf(17815,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17022,16751,theory(equality)]) ).
cnf(17823,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17815,78,theory(equality)]) ).
cnf(17824,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17823,theory(equality)]) ).
cnf(17827,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,17824,theory(equality)]) ).
cnf(17834,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[17827,16751]) ).
cnf(17862,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17030,16751,theory(equality)]) ).
cnf(17870,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[17862,79,theory(equality)]) ).
cnf(17871,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[17870,theory(equality)]) ).
cnf(17878,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[17834,17871,theory(equality)]) ).
cnf(17886,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[17878,17705,theory(equality)]) ).
cnf(17890,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[17886,16750]) ).
cnf(19339,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[17462,46,theory(equality)]) ).
cnf(19353,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[19339,16732,theory(equality)]) ).
cnf(19354,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[19353,theory(equality)]) ).
cnf(19355,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[19354,77,theory(equality)]) ).
cnf(19367,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[19355,16750]) ).
cnf(19387,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19367,17617,theory(equality)]) ).
cnf(19773,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19387,16750,theory(equality)]) ).
cnf(19781,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[19773,78,theory(equality)]) ).
cnf(19782,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[19781,theory(equality)]) ).
cnf(19790,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[19782,16749]) ).
cnf(19791,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,19790,theory(equality)]) ).
cnf(19792,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,19790,theory(equality)]) ).
cnf(19803,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[19791,16749]) ).
cnf(19841,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19792,16749,theory(equality)]) ).
cnf(19849,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[19841,78,theory(equality)]) ).
cnf(19850,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[19849,theory(equality)]) ).
cnf(19854,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,19850,theory(equality)]) ).
cnf(19875,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[19854,16749]) ).
cnf(19893,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[19875,17871,theory(equality)]) ).
cnf(19972,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[19893,16749]) ).
cnf(19973,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[19972,16751]) ).
cnf(19974,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[19973,17890]) ).
cnf(19989,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[17508,46,theory(equality)]) ).
cnf(20003,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[19989,16732,theory(equality)]) ).
cnf(20004,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[20003,theory(equality)]) ).
cnf(20005,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[20004,77,theory(equality)]) ).
cnf(20036,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[20005,16750]) ).
cnf(20056,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20036,17664,theory(equality)]) ).
cnf(20538,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20056,16750,theory(equality)]) ).
cnf(20546,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[20538,79,theory(equality)]) ).
cnf(20547,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[20546,theory(equality)]) ).
cnf(20550,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[20547,16749]) ).
cnf(20557,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19803,20550,theory(equality)]) ).
cnf(20566,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[20557,45,theory(equality)]) ).
cnf(20585,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20566,16732,theory(equality)]) ).
cnf(20586,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20585,theory(equality)]) ).
cnf(20587,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[20586,77,theory(equality)]) ).
cnf(20603,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[20587,16751]) ).
cnf(20626,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[19974,20603,theory(equality)]) ).
cnf(20651,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[44,20626,theory(equality)]) ).
cnf(20684,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20651,16732,theory(equality)]) ).
cnf(20685,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20684,theory(equality)]) ).
cnf(20686,plain,
member(esk6_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[20685,77,theory(equality)]) ).
cnf(20714,plain,
( apply(esk2_0,esk6_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,20686,theory(equality)]) ).
cnf(20715,plain,
( apply(esk3_0,esk6_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,20686,theory(equality)]) ).
cnf(20804,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,20714,theory(equality)]) ).
cnf(20820,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ member(esk6_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,20715,theory(equality)]) ).
cnf(20839,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20804,20686,theory(equality)]) ).
cnf(20840,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[20839,78,theory(equality)]) ).
cnf(20841,plain,
( apply(esk2_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[20840,theory(equality)]) ).
cnf(20842,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,20841,theory(equality)]) ).
cnf(20845,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| $false
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1) ),
inference(rw,[status(thm)],[20842,20686,theory(equality)]) ).
cnf(20846,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[20845,theory(equality)]) ).
cnf(20888,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20820,20686,theory(equality)]) ).
cnf(20889,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[20888,79,theory(equality)]) ).
cnf(20890,plain,
( apply(esk3_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[20889,theory(equality)]) ).
cnf(20896,plain,
( apply(esk4_0,X1,esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk6_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20846,20890,theory(equality)]) ).
cnf(20901,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[20896,37,theory(equality)]) ).
cnf(20902,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[20896,36,theory(equality)]) ).
cnf(20903,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[20896,35,theory(equality)]) ).
cnf(20910,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20901,16732,theory(equality)]) ).
cnf(20911,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20910,theory(equality)]) ).
cnf(20912,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[20911,77,theory(equality)]) ).
cnf(20913,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20902,16732,theory(equality)]) ).
cnf(20914,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20913,theory(equality)]) ).
cnf(20915,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[20914,77,theory(equality)]) ).
cnf(20916,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20903,16732,theory(equality)]) ).
cnf(20917,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20916,theory(equality)]) ).
cnf(20918,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[20917,77,theory(equality)]) ).
cnf(20919,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[20912,16752]) ).
cnf(20925,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[31,20919,theory(equality)]) ).
cnf(20935,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[20925,16732,theory(equality)]) ).
cnf(20936,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[20935,theory(equality)]) ).
cnf(20937,plain,
member(esk8_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[20936,77,theory(equality)]) ).
cnf(20952,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,20937,theory(equality)]) ).
cnf(20953,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,20937,theory(equality)]) ).
cnf(20985,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,20952,theory(equality)]) ).
cnf(21003,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,20953,theory(equality)]) ).
cnf(21107,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[20915,16753]) ).
cnf(21114,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[30,21107,theory(equality)]) ).
cnf(21128,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[21114,16732,theory(equality)]) ).
cnf(21129,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[21128,theory(equality)]) ).
cnf(21130,plain,
member(esk9_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[21129,77,theory(equality)]) ).
cnf(21142,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,21130,theory(equality)]) ).
cnf(21143,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,21130,theory(equality)]) ).
cnf(21229,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,21142,theory(equality)]) ).
cnf(21249,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,21143,theory(equality)]) ).
cnf(21354,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[20918,16754]) ).
cnf(21362,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[29,21354,theory(equality)]) ).
cnf(21380,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[21362,16732,theory(equality)]) ).
cnf(21381,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[21380,theory(equality)]) ).
cnf(21382,plain,
member(esk10_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[21381,77,theory(equality)]) ).
cnf(21391,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20,21382,theory(equality)]) ).
cnf(21392,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[19,21382,theory(equality)]) ).
cnf(21393,plain,
apply(esk2_0,esk10_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[159,21382,theory(equality)]) ).
cnf(21394,plain,
apply(esk3_0,esk10_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[160,21382,theory(equality)]) ).
cnf(21482,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,21391,theory(equality)]) ).
cnf(21504,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[75,21392,theory(equality)]) ).
cnf(21619,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[20985,20937,theory(equality)]) ).
cnf(21622,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[21619,78,theory(equality)]) ).
cnf(21623,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[21622,theory(equality)]) ).
cnf(21633,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,21623,theory(equality)]) ).
cnf(21712,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21003,20937,theory(equality)]) ).
cnf(21715,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[21712,79,theory(equality)]) ).
cnf(21716,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[21715,theory(equality)]) ).
cnf(21725,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk8_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,21716,theory(equality)]) ).
cnf(21951,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21229,21130,theory(equality)]) ).
cnf(21954,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[21951,78,theory(equality)]) ).
cnf(21955,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[21954,theory(equality)]) ).
cnf(21963,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,21955,theory(equality)]) ).
cnf(21965,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,21955,theory(equality)]) ).
cnf(21969,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(rw,[status(thm)],[21963,21130,theory(equality)]) ).
cnf(21970,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[21969,theory(equality)]) ).
cnf(22039,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21249,21130,theory(equality)]) ).
cnf(22042,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[22039,79,theory(equality)]) ).
cnf(22043,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[22042,theory(equality)]) ).
cnf(22052,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X3)
| ~ member(X3,esk1_0) ),
inference(spm,[status(thm)],[76,22043,theory(equality)]) ).
cnf(22056,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21970,22043,theory(equality)]) ).
cnf(22069,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[22056,27,theory(equality)]) ).
cnf(22104,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[22069,21382,theory(equality)]) ).
cnf(22105,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| $false
| $false
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[22104,16732,theory(equality)]) ).
cnf(22106,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[22105,theory(equality)]) ).
cnf(22107,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[22106,77,theory(equality)]) ).
cnf(22453,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21482,21382,theory(equality)]) ).
cnf(22456,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[22453,78,theory(equality)]) ).
cnf(22457,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[22456,theory(equality)]) ).
cnf(22465,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,22457,theory(equality)]) ).
cnf(22471,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(rw,[status(thm)],[22465,21382,theory(equality)]) ).
cnf(22472,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[22471,theory(equality)]) ).
cnf(22549,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[21504,21382,theory(equality)]) ).
cnf(22552,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[22549,79,theory(equality)]) ).
cnf(22553,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[22552,theory(equality)]) ).
cnf(22566,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[22472,22553,theory(equality)]) ).
cnf(22576,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[22566,22107,theory(equality)]) ).
cnf(22593,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| $false
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[22576,21130,theory(equality)]) ).
cnf(22594,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[22593,theory(equality)]) ).
cnf(23314,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21633,40,theory(equality)]) ).
cnf(23315,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21633,34,theory(equality)]) ).
cnf(23316,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21633,28,theory(equality)]) ).
cnf(23341,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[23314,21130,theory(equality)]) ).
cnf(23342,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[23341,16732,theory(equality)]) ).
cnf(23343,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[23342,theory(equality)]) ).
cnf(23344,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[23343,77,theory(equality)]) ).
cnf(23345,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[23315,21130,theory(equality)]) ).
cnf(23346,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[23345,16732,theory(equality)]) ).
cnf(23347,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[23346,theory(equality)]) ).
cnf(23348,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[23347,77,theory(equality)]) ).
cnf(23349,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[23316,21130,theory(equality)]) ).
cnf(23350,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[23349,16732,theory(equality)]) ).
cnf(23351,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[23350,theory(equality)]) ).
cnf(23352,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[23351,77,theory(equality)]) ).
cnf(23383,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[23344,21955,theory(equality)]) ).
cnf(24001,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[23383,21130,theory(equality)]) ).
cnf(24004,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[24001,78,theory(equality)]) ).
cnf(24005,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| $false
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[24004,20937,theory(equality)]) ).
cnf(24006,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[24005,theory(equality)]) ).
cnf(24016,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[18,24006,theory(equality)]) ).
cnf(24024,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(rw,[status(thm)],[24016,20937,theory(equality)]) ).
cnf(24025,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[24024,theory(equality)]) ).
cnf(24246,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21725,40,theory(equality)]) ).
cnf(24247,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21725,34,theory(equality)]) ).
cnf(24248,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21725,28,theory(equality)]) ).
cnf(24273,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[24246,21130,theory(equality)]) ).
cnf(24274,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[24273,16732,theory(equality)]) ).
cnf(24275,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[24274,theory(equality)]) ).
cnf(24276,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[24275,77,theory(equality)]) ).
cnf(24277,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[24247,21130,theory(equality)]) ).
cnf(24278,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[24277,16732,theory(equality)]) ).
cnf(24279,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[24278,theory(equality)]) ).
cnf(24280,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[24279,77,theory(equality)]) ).
cnf(24281,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[24248,21130,theory(equality)]) ).
cnf(24282,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[24281,16732,theory(equality)]) ).
cnf(24283,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[24282,theory(equality)]) ).
cnf(24284,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[24283,77,theory(equality)]) ).
cnf(24317,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[24276,22043,theory(equality)]) ).
cnf(25106,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[24317,21130,theory(equality)]) ).
cnf(25109,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[25106,79,theory(equality)]) ).
cnf(25110,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| $false
| ~ member(X1,esk1_0) ),
inference(rw,[status(thm)],[25109,20937,theory(equality)]) ).
cnf(25111,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[25110,theory(equality)]) ).
cnf(25126,plain,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[24025,25111,theory(equality)]) ).
cnf(25142,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[25126,39,theory(equality)]) ).
cnf(25177,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[25142,21382,theory(equality)]) ).
cnf(25178,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[25177,16732,theory(equality)]) ).
cnf(25179,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| epred1_2(esk4_0,esk1_0) ),
inference(cn,[status(thm)],[25178,theory(equality)]) ).
cnf(25180,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[25179,77,theory(equality)]) ).
cnf(25244,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[22566,25180,theory(equality)]) ).
cnf(25301,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[25244,20937,theory(equality)]) ).
cnf(25302,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[25301,theory(equality)]) ).
cnf(25310,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[38,25302,theory(equality)]) ).
cnf(25345,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[25310,16732,theory(equality)]) ).
cnf(25346,plain,
( epred1_2(esk4_0,esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[25345,theory(equality)]) ).
cnf(25347,plain,
member(esk7_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[25346,77,theory(equality)]) ).
cnf(25628,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[21965,33,theory(equality)]) ).
cnf(25660,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[25628,21382,theory(equality)]) ).
cnf(25661,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[25660,16732,theory(equality)]) ).
cnf(25662,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[25661,theory(equality)]) ).
cnf(25663,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[25662,77,theory(equality)]) ).
cnf(25691,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[22052,33,theory(equality)]) ).
cnf(25723,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[25691,21382,theory(equality)]) ).
cnf(25724,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| $false
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2)
| $false ),
inference(rw,[status(thm)],[25723,16732,theory(equality)]) ).
cnf(25725,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[25724,theory(equality)]) ).
cnf(25726,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[25725,77,theory(equality)]) ).
cnf(26690,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[25663,21393,theory(equality)]) ).
cnf(26746,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[26690,21382,theory(equality)]) ).
cnf(26749,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[26746,78,theory(equality)]) ).
cnf(26750,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[26749,21130,theory(equality)]) ).
cnf(26751,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[26750,theory(equality)]) ).
cnf(26772,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[23348,26751,theory(equality)]) ).
cnf(26823,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[26772,21382,theory(equality)]) ).
cnf(26826,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[26823,78,theory(equality)]) ).
cnf(26827,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[26826,20937,theory(equality)]) ).
cnf(26828,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[26827,21130,theory(equality)]) ).
cnf(26829,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[26828,theory(equality)]) ).
cnf(26846,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,26829,theory(equality)]) ).
cnf(26852,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[26846,21382,theory(equality)]) ).
cnf(26853,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[26852,20937,theory(equality)]) ).
cnf(26854,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[26853,theory(equality)]) ).
cnf(27601,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[25726,21394,theory(equality)]) ).
cnf(27657,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[27601,21382,theory(equality)]) ).
cnf(27660,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[27657,79,theory(equality)]) ).
cnf(27661,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[27660,21130,theory(equality)]) ).
cnf(27662,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[27661,theory(equality)]) ).
cnf(27678,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[24280,27662,theory(equality)]) ).
cnf(27725,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[27678,21382,theory(equality)]) ).
cnf(27728,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[27725,79,theory(equality)]) ).
cnf(27729,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[27728,20937,theory(equality)]) ).
cnf(27730,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[27729,21130,theory(equality)]) ).
cnf(27731,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[27730,theory(equality)]) ).
cnf(27749,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[26854,27731,theory(equality)]) ).
cnf(27776,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[22566,27749,theory(equality)]) ).
cnf(27850,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[27776,20937,theory(equality)]) ).
cnf(27851,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[27850,theory(equality)]) ).
cnf(27868,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[32,27851,theory(equality)]) ).
cnf(27909,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[27868,16732,theory(equality)]) ).
cnf(27910,plain,
( epred1_2(esk4_0,esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[27909,theory(equality)]) ).
cnf(27911,plain,
apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(sr,[status(thm)],[27910,77,theory(equality)]) ).
cnf(27997,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[20896,27911,theory(equality)]) ).
cnf(28043,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[27997,25347,theory(equality)]) ).
cnf(28044,plain,
apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[28043,theory(equality)]) ).
cnf(28075,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| $false
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(rw,[status(thm)],[24284,28044,theory(equality)]) ).
cnf(28076,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[28075,theory(equality)]) ).
cnf(28077,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| $false
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(rw,[status(thm)],[23352,28044,theory(equality)]) ).
cnf(28078,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[28077,theory(equality)]) ).
cnf(28087,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[22594,28044,theory(equality)]) ).
cnf(28088,plain,
apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[28087,theory(equality)]) ).
cnf(28153,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[22056,28088,theory(equality)]) ).
cnf(28226,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[28153,21382,theory(equality)]) ).
cnf(28227,plain,
apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[28226,theory(equality)]) ).
cnf(28729,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[28076,21392,theory(equality)]) ).
cnf(28767,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[28729,28227,theory(equality)]) ).
cnf(28768,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| $false
| $false ),
inference(rw,[status(thm)],[28767,21130,theory(equality)]) ).
cnf(28769,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[28768,theory(equality)]) ).
cnf(28915,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[28078,21391,theory(equality)]) ).
cnf(28954,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[28915,28227,theory(equality)]) ).
cnf(28955,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| $false
| $false ),
inference(rw,[status(thm)],[28954,21130,theory(equality)]) ).
cnf(28956,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[28955,theory(equality)]) ).
cnf(29786,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[28769,21382,theory(equality)]) ).
cnf(29789,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29786,79,theory(equality)]) ).
cnf(29790,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29789,20937,theory(equality)]) ).
cnf(29791,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[29790,21130,theory(equality)]) ).
cnf(29792,plain,
apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[29791,theory(equality)]) ).
cnf(29925,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[28956,21382,theory(equality)]) ).
cnf(29928,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29925,78,theory(equality)]) ).
cnf(29929,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29928,20937,theory(equality)]) ).
cnf(29930,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[29929,21130,theory(equality)]) ).
cnf(29931,plain,
apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[29930,theory(equality)]) ).
cnf(29948,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[18,29931,theory(equality)]) ).
cnf(29957,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29948,29792,theory(equality)]) ).
cnf(29958,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(rw,[status(thm)],[29957,21382,theory(equality)]) ).
cnf(29959,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[29958,20937,theory(equality)]) ).
cnf(29960,plain,
apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[29959,theory(equality)]) ).
cnf(29993,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[22566,29960,theory(equality)]) ).
cnf(30066,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[29993,20937,theory(equality)]) ).
cnf(30067,plain,
apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[30066,theory(equality)]) ).
cnf(30085,plain,
( epred1_2(esk4_0,esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[26,30067,theory(equality)]) ).
cnf(30132,plain,
( epred1_2(esk4_0,esk1_0)
| $false
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(rw,[status(thm)],[30085,16732,theory(equality)]) ).
cnf(30133,plain,
( epred1_2(esk4_0,esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[30132,28044,theory(equality)]) ).
cnf(30134,plain,
epred1_2(esk4_0,esk1_0),
inference(cn,[status(thm)],[30133,theory(equality)]) ).
cnf(30135,plain,
$false,
inference(sr,[status(thm)],[30134,77,theory(equality)]) ).
cnf(30136,plain,
$false,
30135,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET773+4.p
% --creating new selector for [SET006+0.ax, SET006+2.ax]
% -running prover on /tmp/tmpbbmnWi/sel_SET773+4.p_1 with time limit 29
% -prover status Theorem
% Problem SET773+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET773+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET773+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
%
%------------------------------------------------------------------------------