TSTP Solution File: SET772+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET772+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:54:03 EDT 2022
% Result : Theorem 1.08s 166.25s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thIII08,conjecture,
! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X6,X1)
& member(X3,X6)
& member(X5,X6) ) ) )
=> equivalence(X7,X4) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thIII08) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> X3 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',partition) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X6,X1)
& member(X3,X6)
& member(X5,X6) ) ) )
=> equivalence(X7,X4) ) ),
inference(assume_negation,[status(cth)],[thIII08]) ).
fof(c_0_5,plain,
! [X7,X8,X9,X10,X12,X13,X14,X7,X8,X17] :
( ( ~ member(X9,X7)
| subset(X9,X8)
| ~ partition(X7,X8) )
& ( member(esk5_3(X7,X8,X10),X7)
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( member(X10,esk5_3(X7,X8,X10))
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X12)
| ~ member(X14,X13)
| X12 = X13
| ~ partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X11,X12,X14] :
( partition(esk1_0,esk2_0)
& ( member(esk4_2(X11,X12),esk1_0)
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( member(X11,esk4_2(X11,X12))
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( member(X12,esk4_2(X11,X12))
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( ~ member(X14,esk1_0)
| ~ member(X11,X14)
| ~ member(X12,X14)
| apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ~ equivalence(esk3_0,esk2_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_7,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
introduced(definition) ).
cnf(c_0_8,plain,
( member(esk5_3(X1,X2,X3),X1)
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
partition(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X8,X9] :
( ( ~ member(X10,X8)
| apply(X9,X10,X10)
| ~ epred1_2(X9,X8) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| apply(X9,X12,X11)
| ~ epred1_2(X9,X8) )
& ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15)
| ~ epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| member(esk12_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| member(esk14_2(X8,X9),X8)
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| apply(X9,esk13_2(X8,X9),esk14_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk15_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk16_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk17_2(X8,X9),X8)
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk15_2(X8,X9),esk16_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk16_2(X8,X9),esk17_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk15_2(X8,X9),esk17_2(X8,X9))
| ~ apply(X9,esk14_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk12_2(X8,X9),esk12_2(X8,X9))
| epred1_2(X9,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).
cnf(c_0_11,plain,
( X3 = X4
| ~ partition(X1,X2)
| ~ member(X5,X4)
| ~ member(X5,X3)
| ~ member(X4,X1)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( member(esk5_3(esk1_0,esk2_0,X1),esk1_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( member(X3,esk5_3(X1,X2,X3))
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( member(X2,esk4_2(X2,X1))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ apply(esk3_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( member(X1,esk4_2(X2,X1))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ apply(esk3_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( X1 = X2
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_21,plain,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)),esk1_0)
| member(esk12_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( member(X1,esk5_3(esk1_0,esk2_0,X1))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk15_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( member(esk4_2(X2,X1),esk1_0)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ apply(esk3_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,plain,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)),esk1_0)
| member(esk12_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk16_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk16_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_28,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| apply(X2,esk13_2(esk2_0,X2),esk14_2(esk2_0,X2))
| member(esk12_2(esk2_0,X2),esk2_0)
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2)))
| ~ member(X1,esk1_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_33,plain,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| member(esk15_2(esk2_0,X1),esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| member(esk12_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_34,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| apply(X2,esk13_2(esk2_0,X2),esk14_2(esk2_0,X2))
| member(esk12_2(esk2_0,X2),esk2_0)
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2)))
| ~ member(X1,esk1_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_37,plain,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| member(esk16_2(esk2_0,X1),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)))
| member(esk12_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_38,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_39,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_40,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk17_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_42,plain,
( epred1_2(X1,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)),esk1_0)
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_43,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_44,plain,
( epred1_2(X1,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)),esk1_0)
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_30]) ).
cnf(c_0_45,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_46,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_47,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_50,negated_conjecture,
( apply(esk3_0,X2,X1)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,X3)
| ~ member(X2,X3)
| ~ member(X3,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_51,plain,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| apply(X2,esk13_2(esk2_0,X2),esk14_2(esk2_0,X2))
| member(esk12_2(esk2_0,X2),esk2_0)
| ~ member(esk15_2(esk2_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_52,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_53,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_13]) ).
cnf(c_0_54,plain,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| apply(X2,esk13_2(esk2_0,X2),esk14_2(esk2_0,X2))
| member(esk12_2(esk2_0,X2),esk2_0)
| ~ member(esk16_2(esk2_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_55,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_56,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_57,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_58,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk13_2(esk2_0,X2),esk2_0)
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2)))
| ~ member(X1,esk1_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_59,plain,
( epred1_2(X1,esk2_0)
| member(esk15_2(esk2_0,X1),esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_60,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_28]) ).
cnf(c_0_61,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_62,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk13_2(esk2_0,X2),esk2_0)
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2)))
| ~ member(X1,esk1_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_44]) ).
cnf(c_0_63,plain,
( epred1_2(X1,esk2_0)
| member(esk16_2(esk2_0,X1),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)))
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_64,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_65,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
cnf(c_0_66,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| member(esk17_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_67,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_68,plain,
( epred1_2(X1,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)),esk1_0)
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk14_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_47]) ).
cnf(c_0_69,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_48]) ).
cnf(c_0_70,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_71,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_72,negated_conjecture,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| apply(esk3_0,X2,X3)
| member(esk12_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_21]) ).
cnf(c_0_73,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_74,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_17]) ).
cnf(c_0_75,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| member(esk17_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_76,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_77,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_78,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_79,plain,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk13_2(esk2_0,X2),esk2_0)
| ~ member(esk15_2(esk2_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_80,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_30]) ).
cnf(c_0_81,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_82,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk13_2(esk2_0,X2),esk2_0)
| ~ member(esk16_2(esk2_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_83,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_30]) ).
cnf(c_0_84,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_85,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_30]) ).
cnf(c_0_86,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_48]) ).
cnf(c_0_87,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk14_2(esk2_0,X2),esk2_0)
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2)))
| ~ member(X1,esk1_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_88,plain,
( epred1_2(X1,esk2_0)
| member(esk16_2(esk2_0,X1),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X1)))
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk14_2(esk2_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_47]) ).
cnf(c_0_89,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_90,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_47]) ).
cnf(c_0_91,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| member(esk17_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_92,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_49]) ).
cnf(c_0_93,plain,
( epred1_2(X1,esk2_0)
| apply(X1,esk13_2(esk2_0,X1),esk14_2(esk2_0,X1))
| apply(esk3_0,esk15_2(esk2_0,X1),X2)
| member(esk12_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(esk15_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_33]) ).
cnf(c_0_94,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_95,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_17]) ).
cnf(c_0_96,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_97,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_98,negated_conjecture,
( epred1_2(X1,esk2_0)
| apply(esk3_0,X2,X3)
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(X3,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]) ).
cnf(c_0_99,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_100,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_30]) ).
cnf(c_0_101,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_102,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_103,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_84]) ).
cnf(c_0_104,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_66]) ).
cnf(c_0_105,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_70]) ).
cnf(c_0_106,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),esk4_2(esk15_2(X1,esk3_0),esk16_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_48]) ).
cnf(c_0_107,plain,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,X2))
| epred1_2(X2,esk2_0)
| member(esk12_2(esk2_0,X2),esk2_0)
| member(esk14_2(esk2_0,X2),esk2_0)
| ~ member(esk16_2(esk2_0,X2),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_108,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_47]) ).
cnf(c_0_109,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_110,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_47]) ).
cnf(c_0_111,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_112,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_40]) ).
cnf(c_0_113,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_114,negated_conjecture,
( epred1_2(X1,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,X1),X2)
| member(esk12_2(esk2_0,X1),esk2_0)
| member(esk13_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,X1)))
| ~ member(esk15_2(esk2_0,X1),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_59]) ).
cnf(c_0_115,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_116,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_30]) ).
cnf(c_0_117,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_100]) ).
cnf(c_0_118,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_119,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_47]) ).
cnf(c_0_120,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_70]) ).
cnf(c_0_121,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),esk4_2(esk16_2(X1,esk3_0),esk17_2(X1,esk3_0)))
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_49]) ).
cnf(c_0_122,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_123,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_109]) ).
cnf(c_0_124,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_91]) ).
cnf(c_0_125,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_13]) ).
cnf(c_0_126,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_127,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_128,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_66]) ).
cnf(c_0_129,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_130,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X2,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_119]) ).
cnf(c_0_131,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_47]) ).
cnf(c_0_132,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_47]) ).
cnf(c_0_133,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_119]) ).
cnf(c_0_134,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_135,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_136,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_28]) ).
cnf(c_0_137,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_138,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_139,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_91]) ).
cnf(c_0_140,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_142,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_40]) ).
cnf(c_0_143,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_144,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_70]) ).
cnf(c_0_145,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_146,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_148,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_66]) ).
cnf(c_0_149,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_146]) ).
cnf(c_0_151,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_152,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_153,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_91]) ).
cnf(c_0_154,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_146]) ).
cnf(c_0_157,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_158,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_151]) ).
cnf(c_0_159,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(X2,esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_157]) ).
cnf(c_0_160,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_155]) ).
cnf(c_0_161,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_146]) ).
cnf(c_0_162,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_163,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_151]) ).
cnf(c_0_164,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_155]) ).
cnf(c_0_165,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_155]) ).
cnf(c_0_166,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_167,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_168,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_151]) ).
cnf(c_0_169,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_170,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_171,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_172,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_173,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_168]) ).
cnf(c_0_174,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_170,c_0_168]) ).
cnf(c_0_175,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_171,c_0_168]) ).
cnf(c_0_176,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_172]) ).
cnf(c_0_177,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_173]) ).
cnf(c_0_178,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_174]) ).
cnf(c_0_179,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk17_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_180,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_173]) ).
cnf(c_0_182,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_172]) ).
cnf(c_0_184,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_177,c_0_175]) ).
cnf(c_0_185,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_173]) ).
cnf(c_0_186,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_172]) ).
cnf(c_0_187,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_168]) ).
cnf(c_0_188,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_174]) ).
cnf(c_0_189,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_180]) ).
cnf(c_0_190,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_175]) ).
cnf(c_0_191,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_175]) ).
cnf(c_0_192,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_193,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_172]) ).
cnf(c_0_194,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_175]) ).
cnf(c_0_195,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_196,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_172]) ).
cnf(c_0_197,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_180]) ).
cnf(c_0_198,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_199,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_172]) ).
cnf(c_0_200,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_174]) ).
cnf(c_0_201,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_202,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_172]) ).
cnf(c_0_203,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_195]) ).
cnf(c_0_204,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_187]) ).
cnf(c_0_205,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_190]) ).
cnf(c_0_206,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_207,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_172]) ).
cnf(c_0_208,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_209,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_210,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_175]) ).
cnf(c_0_211,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_206,c_0_202]) ).
cnf(c_0_212,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_207,c_0_187]) ).
cnf(c_0_213,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_214,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_215,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
fof(c_0_216,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_7]) ).
cnf(c_0_217,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_218,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
fof(c_0_219,plain,
! [X8,X9,X8,X9] :
( ( ~ equivalence(X9,X8)
| epred1_2(X9,X8) )
& ( ~ epred1_2(X9,X8)
| equivalence(X9,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_216])])])]) ).
cnf(c_0_220,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_217,c_0_168]) ).
cnf(c_0_221,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_187]) ).
cnf(c_0_222,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_223,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_224,negated_conjecture,
~ equivalence(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_225,plain,
member(esk12_2(esk2_0,esk3_0),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).
cnf(c_0_226,negated_conjecture,
member(esk5_3(esk1_0,esk2_0,esk12_2(esk2_0,esk3_0)),esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_225]) ).
cnf(c_0_227,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk12_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk12_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_226]) ).
cnf(c_0_228,negated_conjecture,
member(esk12_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk12_2(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_22,c_0_225]) ).
cnf(c_0_229,negated_conjecture,
( apply(esk3_0,esk12_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk12_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_225])]) ).
cnf(c_0_230,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk16_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_231,negated_conjecture,
apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_228]),c_0_225])]) ).
cnf(c_0_232,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_233,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_232]) ).
cnf(c_0_234,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,X1,X2)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_233]) ).
cnf(c_0_235,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_232]) ).
cnf(c_0_236,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_237,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_238,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_236,c_0_231]) ).
cnf(c_0_239,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_240,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_237,c_0_232]) ).
cnf(c_0_241,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_238]) ).
cnf(c_0_242,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk17_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_243,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_239,c_0_231]) ).
cnf(c_0_244,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_245,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_246,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_240,c_0_235]) ).
cnf(c_0_247,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_241,c_0_232]) ).
cnf(c_0_248,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_242,c_0_231]) ).
cnf(c_0_249,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_238]) ).
cnf(c_0_250,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_251,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_243]) ).
cnf(c_0_252,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_244,c_0_231]) ).
cnf(c_0_253,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| member(esk17_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_254,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_245,c_0_231]) ).
cnf(c_0_255,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk15_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_256,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_246,c_0_232]) ).
cnf(c_0_257,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_258,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_249,c_0_232]) ).
cnf(c_0_259,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_250,c_0_231]) ).
cnf(c_0_260,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_261,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_262,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_253,c_0_231]) ).
cnf(c_0_263,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_243]) ).
cnf(c_0_264,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_254]) ).
cnf(c_0_265,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_231]) ).
cnf(c_0_266,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_233]) ).
cnf(c_0_267,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_256]) ).
cnf(c_0_268,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(X2,esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_257]) ).
cnf(c_0_269,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_258,c_0_248]) ).
cnf(c_0_270,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_254]) ).
cnf(c_0_271,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk16_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_272,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_273,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_274,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_252]) ).
cnf(c_0_275,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_259]) ).
cnf(c_0_276,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_260,c_0_231]) ).
cnf(c_0_277,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_278,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_263,c_0_252]) ).
cnf(c_0_279,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_280,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_254]) ).
cnf(c_0_281,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_238]) ).
cnf(c_0_282,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_266,c_0_235]) ).
cnf(c_0_283,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_267,c_0_232]) ).
cnf(c_0_284,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_256]) ).
cnf(c_0_285,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_286,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_270,c_0_265]) ).
cnf(c_0_287,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk15_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_288,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_271,c_0_231]) ).
cnf(c_0_289,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_272,c_0_231]) ).
cnf(c_0_290,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_273,c_0_231]) ).
cnf(c_0_291,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_259]) ).
cnf(c_0_292,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_274]) ).
cnf(c_0_293,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_252]) ).
cnf(c_0_294,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_295,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_277]) ).
cnf(c_0_296,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_278,c_0_262]) ).
cnf(c_0_297,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_279,c_0_232]) ).
cnf(c_0_298,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_280,c_0_265]) ).
fof(c_0_299,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk11_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk11_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
cnf(c_0_300,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_281,c_0_232]) ).
cnf(c_0_301,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_302,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_284,c_0_232]) ).
cnf(c_0_303,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_285,c_0_235]) ).
cnf(c_0_304,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_286,c_0_232]) ).
cnf(c_0_305,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_287,c_0_231]) ).
cnf(c_0_306,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_288]) ).
cnf(c_0_307,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_289]) ).
cnf(c_0_308,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_290]) ).
cnf(c_0_309,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| member(esk17_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_310,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_291,c_0_276]) ).
cnf(c_0_311,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_259]) ).
cnf(c_0_312,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_313,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_294,c_0_252]) ).
cnf(c_0_314,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_315,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_265]) ).
cnf(c_0_316,negated_conjecture,
( X1 = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(X2,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_297]) ).
cnf(c_0_317,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_298,c_0_232]) ).
cnf(c_0_318,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_319,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_300,c_0_248]) ).
cnf(c_0_320,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_321,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_303,c_0_233]) ).
cnf(c_0_322,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_282,c_0_304]) ).
cnf(c_0_323,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_305]) ).
cnf(c_0_324,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_289]) ).
cnf(c_0_325,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_306]) ).
cnf(c_0_326,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_288]) ).
cnf(c_0_327,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_307,c_0_305]) ).
cnf(c_0_328,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_289]) ).
cnf(c_0_329,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_308,c_0_288]) ).
cnf(c_0_330,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_309,c_0_231]) ).
cnf(c_0_331,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_290]) ).
cnf(c_0_332,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_310,c_0_252]) ).
cnf(c_0_333,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_311,c_0_276]) ).
cnf(c_0_334,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_243]) ).
cnf(c_0_335,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_336,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_314,c_0_293]) ).
cnf(c_0_337,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,X1,X2)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_315]) ).
cnf(c_0_338,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk15_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_265]) ).
cnf(c_0_339,negated_conjecture,
( X1 = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_340,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_341,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_342,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_322,c_0_297]) ).
cnf(c_0_343,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_323]) ).
cnf(c_0_344,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_305]) ).
cnf(c_0_345,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_324,c_0_305]) ).
cnf(c_0_346,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_347,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_327,c_0_288]) ).
cnf(c_0_348,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_328,c_0_305]) ).
cnf(c_0_349,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_350,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_331,c_0_288]) ).
cnf(c_0_351,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X2,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_332]) ).
cnf(c_0_352,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_333,c_0_252]) ).
cnf(c_0_353,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_334,c_0_252]) ).
cnf(c_0_354,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_335,c_0_332]) ).
cnf(c_0_355,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_336,c_0_274]) ).
cnf(c_0_356,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_357,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ member(esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_339,c_0_338]) ).
cnf(c_0_358,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_359,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_320,c_0_342]) ).
cnf(c_0_360,plain,
( subset(X1,X2)
| ~ member(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_361,plain,
( subset(X1,X2)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_362,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_323]) ).
cnf(c_0_363,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_364,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_345,c_0_288]) ).
cnf(c_0_365,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_290]) ).
cnf(c_0_366,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_367,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_348,c_0_288]) ).
cnf(c_0_368,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_346,c_0_349]) ).
cnf(c_0_369,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_350,c_0_330]) ).
cnf(c_0_370,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_371,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_353,c_0_262]) ).
cnf(c_0_372,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_373,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_356,c_0_265]) ).
cnf(c_0_374,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_357,c_0_315]) ).
cnf(c_0_375,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_376,plain,
subset(X1,X1),
inference(spm,[status(thm)],[c_0_360,c_0_361]) ).
cnf(c_0_377,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_362,c_0_344]) ).
cnf(c_0_378,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_379,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_365,c_0_288]) ).
cnf(c_0_380,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_381,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_382,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_370,c_0_276]) ).
cnf(c_0_383,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_384,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_385,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_386,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_377,c_0_305]) ).
cnf(c_0_387,plain,
( esk5_3(esk1_0,esk2_0,esk15_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_378,c_0_367]) ).
cnf(c_0_388,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_379,c_0_330]) ).
cnf(c_0_389,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_390,plain,
( epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_391,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_392,plain,
( epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_393,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_394,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_395,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_396,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_390,c_0_231]) ).
cnf(c_0_397,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_391,c_0_262]) ).
cnf(c_0_398,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_392,c_0_231]) ).
cnf(c_0_399,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_393,c_0_248]) ).
cnf(c_0_400,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_401,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_402,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_403,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_398,c_0_399]) ).
cnf(c_0_404,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_400,c_0_231]) ).
cnf(c_0_405,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_401,c_0_330]) ).
cnf(c_0_406,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_402]) ).
cnf(c_0_407,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_403]) ).
cnf(c_0_408,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_409,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_406]) ).
cnf(c_0_410,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_402]) ).
cnf(c_0_411,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_412,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_403]) ).
cnf(c_0_413,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_406]) ).
cnf(c_0_414,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_415,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_411,c_0_402]) ).
cnf(c_0_416,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_412,c_0_408]) ).
cnf(c_0_417,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_413,c_0_410]) ).
cnf(c_0_418,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)) = esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_419,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_416,c_0_402]) ).
cnf(c_0_420,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_403]) ).
cnf(c_0_421,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_417,c_0_402]) ).
cnf(c_0_422,plain,
( esk5_3(esk1_0,esk2_0,esk14_2(esk2_0,esk3_0)) = esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_423,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_420,c_0_408]) ).
cnf(c_0_424,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_425,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk4_2(esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_423,c_0_402]) ).
cnf(c_0_426,plain,
( epred1_2(X1,X2)
| member(esk16_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_427,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_428,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_426,c_0_231]) ).
cnf(c_0_429,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_427,c_0_408]) ).
cnf(c_0_430,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_431,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_430]) ).
cnf(c_0_432,plain,
( epred1_2(X1,X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_433,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_431]) ).
cnf(c_0_434,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_430]) ).
cnf(c_0_435,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_432,c_0_231]) ).
cnf(c_0_436,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_437,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_435,c_0_429]) ).
cnf(c_0_438,plain,
( epred1_2(X1,X2)
| member(esk17_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_439,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_436,c_0_430]) ).
cnf(c_0_440,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_437]) ).
cnf(c_0_441,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_438,c_0_231]) ).
cnf(c_0_442,plain,
( epred1_2(X1,X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_443,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_439,c_0_434]) ).
cnf(c_0_444,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_440,c_0_430]) ).
cnf(c_0_445,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_441,c_0_429]) ).
cnf(c_0_446,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_437]) ).
cnf(c_0_447,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_442,c_0_231]) ).
cnf(c_0_448,plain,
( epred1_2(X1,X2)
| member(esk15_2(X2,X1),X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_449,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_443,c_0_430]) ).
cnf(c_0_450,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_451,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_446,c_0_430]) ).
cnf(c_0_452,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_447,c_0_429]) ).
cnf(c_0_453,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_448,c_0_231]) ).
cnf(c_0_454,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(X2,esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_431]) ).
cnf(c_0_455,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_449]) ).
cnf(c_0_456,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(X2,esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(X1,esk1_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_450]) ).
cnf(c_0_457,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_451,c_0_445]) ).
cnf(c_0_458,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_452]) ).
cnf(c_0_459,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_453,c_0_429]) ).
cnf(c_0_460,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_437]) ).
cnf(c_0_461,negated_conjecture,
( X1 = esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_454,c_0_434]) ).
cnf(c_0_462,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_455,c_0_430]) ).
cnf(c_0_463,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_449]) ).
cnf(c_0_464,negated_conjecture,
( X1 = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_465,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_466,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_452]) ).
cnf(c_0_467,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_460,c_0_430]) ).
cnf(c_0_468,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_469,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_463,c_0_430]) ).
cnf(c_0_470,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_464,c_0_434]) ).
cnf(c_0_471,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_465,c_0_430]) ).
cnf(c_0_472,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_466,c_0_459]) ).
cnf(c_0_473,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_452]) ).
cnf(c_0_474,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_467,c_0_445]) ).
cnf(c_0_475,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_476,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_470,c_0_431]) ).
cnf(c_0_477,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0)
| ~ member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_461,c_0_471]) ).
cnf(c_0_478,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_472,c_0_430]) ).
cnf(c_0_479,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_473,c_0_459]) ).
cnf(c_0_480,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_318,c_0_474]) ).
cnf(c_0_481,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) = esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_482,plain,
( esk5_3(esk1_0,esk2_0,esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_477,c_0_478]) ).
cnf(c_0_483,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,X1,X2)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X2,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_478]) ).
cnf(c_0_484,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_479,c_0_430]) ).
cnf(c_0_485,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_480,c_0_481]) ).
cnf(c_0_486,plain,
( esk4_2(esk16_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) = esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| epred1_2(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_475,c_0_482]) ).
cnf(c_0_487,negated_conjecture,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_488,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),X1)
| ~ subset(esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_489,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_490,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ member(X1,esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)))
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_487,c_0_459]) ).
cnf(c_0_491,plain,
( epred1_2(esk3_0,esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk4_2(esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_488,c_0_376]) ).
cnf(c_0_492,plain,
( epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_489,c_0_231]) ).
cnf(c_0_493,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| ~ member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_494,plain,
( epred1_2(esk3_0,esk2_0)
| ~ apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_492,c_0_429]) ).
cnf(c_0_495,plain,
( epred1_2(esk3_0,esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_493,c_0_445]) ).
cnf(c_0_496,plain,
epred1_2(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_497,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_496]),c_0_224]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET772+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 12:41:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.42 eprover: CPU time limit exceeded, terminating
% 0.33/23.45 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.43 eprover: CPU time limit exceeded, terminating
% 0.45/46.43 eprover: CPU time limit exceeded, terminating
% 0.45/46.46 eprover: CPU time limit exceeded, terminating
% 0.58/69.43 eprover: CPU time limit exceeded, terminating
% 0.58/69.44 eprover: CPU time limit exceeded, terminating
% 0.58/69.44 eprover: CPU time limit exceeded, terminating
% 0.58/69.48 eprover: CPU time limit exceeded, terminating
% 0.69/92.45 eprover: CPU time limit exceeded, terminating
% 0.69/92.45 eprover: CPU time limit exceeded, terminating
% 0.69/92.46 eprover: CPU time limit exceeded, terminating
% 0.69/92.49 eprover: CPU time limit exceeded, terminating
% 0.82/115.46 eprover: CPU time limit exceeded, terminating
% 0.82/115.47 eprover: CPU time limit exceeded, terminating
% 0.82/115.48 eprover: CPU time limit exceeded, terminating
% 0.82/115.52 eprover: CPU time limit exceeded, terminating
% 0.94/138.47 eprover: CPU time limit exceeded, terminating
% 0.94/138.48 eprover: CPU time limit exceeded, terminating
% 0.94/138.49 eprover: CPU time limit exceeded, terminating
% 0.94/138.55 eprover: CPU time limit exceeded, terminating
% 1.05/161.48 eprover: CPU time limit exceeded, terminating
% 1.05/161.50 eprover: CPU time limit exceeded, terminating
% 1.05/161.51 eprover: CPU time limit exceeded, terminating
% 1.05/161.56 eprover: CPU time limit exceeded, terminating
% 1.08/166.25 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # Preprocessing time : 0.020 s
% 1.08/166.25 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.08/166.25 # Preprocessing time : 0.011 s
% 1.08/166.25 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # Preprocessing time : 0.020 s
% 1.08/166.25 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # Preprocessing time : 0.020 s
% 1.08/166.25 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.08/166.25 # Preprocessing time : 0.018 s
% 1.08/166.25 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # Preprocessing time : 0.020 s
% 1.08/166.25 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.08/166.25
% 1.08/166.25 # Failure: Resource limit exceeded (time)
% 1.08/166.25 # OLD status Res
% 1.08/166.25 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.08/166.25 # Preprocessing time : 0.020 s
% 1.08/166.25 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.08/166.25 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.08/166.25 # Preprocessing time : 0.019 s
% 1.08/166.25
% 1.08/166.25 # Proof found!
% 1.08/166.25 # SZS status Theorem
% 1.08/166.25 # SZS output start CNFRefutation
% See solution above
% 1.08/166.25 # Proof object total steps : 498
% 1.08/166.25 # Proof object clause steps : 486
% 1.08/166.25 # Proof object formula steps : 12
% 1.08/166.25 # Proof object conjectures : 170
% 1.08/166.25 # Proof object clause conjectures : 167
% 1.08/166.25 # Proof object formula conjectures : 3
% 1.08/166.25 # Proof object initial clauses used : 61
% 1.08/166.25 # Proof object initial formulas used : 4
% 1.08/166.25 # Proof object generating inferences : 425
% 1.08/166.25 # Proof object simplifying inferences : 6
% 1.08/166.25 # Training examples: 0 positive, 0 negative
% 1.08/166.25 # Parsed axioms : 17
% 1.08/166.25 # Removed by relevancy pruning/SinE : 13
% 1.08/166.25 # Initial clauses : 86
% 1.08/166.25 # Removed in clause preprocessing : 0
% 1.08/166.25 # Initial clauses in saturation : 86
% 1.08/166.25 # Processed clauses : 12142
% 1.08/166.25 # ...of these trivial : 1
% 1.08/166.25 # ...subsumed : 6204
% 1.08/166.25 # ...remaining for further processing : 5937
% 1.08/166.25 # Other redundant clauses eliminated : 0
% 1.08/166.25 # Clauses deleted for lack of memory : 0
% 1.08/166.25 # Backward-subsumed : 2418
% 1.08/166.25 # Backward-rewritten : 261
% 1.08/166.25 # Generated clauses : 48990
% 1.08/166.25 # ...of the previous two non-trivial : 44669
% 1.08/166.25 # Contextual simplify-reflections : 0
% 1.08/166.25 # Paramodulations : 48990
% 1.08/166.25 # Factorizations : 0
% 1.08/166.25 # Equation resolutions : 0
% 1.08/166.25 # Current number of processed clauses : 3258
% 1.08/166.25 # Positive orientable unit clauses : 9
% 1.08/166.25 # Positive unorientable unit clauses: 0
% 1.08/166.25 # Negative unit clauses : 1
% 1.08/166.25 # Non-unit-clauses : 3248
% 1.08/166.25 # Current number of unprocessed clauses: 20690
% 1.08/166.25 # ...number of literals in the above : 228039
% 1.08/166.25 # Current number of archived formulas : 0
% 1.08/166.25 # Current number of archived clauses : 2679
% 1.08/166.25 # Clause-clause subsumption calls (NU) : 1396116
% 1.08/166.25 # Rec. Clause-clause subsumption calls : 15835
% 1.08/166.25 # Non-unit clause-clause subsumptions : 8622
% 1.08/166.25 # Unit Clause-clause subsumption calls : 12793
% 1.08/166.25 # Rewrite failures with RHS unbound : 0
% 1.08/166.25 # BW rewrite match attempts : 156
% 1.08/166.25 # BW rewrite match successes : 3
% 1.08/166.25 # Condensation attempts : 0
% 1.08/166.25 # Condensation successes : 0
% 1.08/166.25 # Termbank termtop insertions : 3487478
% 1.08/166.25
% 1.08/166.25 # -------------------------------------------------
% 1.08/166.25 # User time : 3.854 s
% 1.08/166.25 # System time : 0.028 s
% 1.08/166.25 # Total time : 3.882 s
% 1.08/166.25 # Maximum resident set size: 42132 pages
% 1.08/184.50 eprover: CPU time limit exceeded, terminating
% 1.08/184.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.08/184.51 eprover: No such file or directory
% 1.08/184.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.08/184.52 eprover: No such file or directory
% 1.08/184.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.08/184.53 eprover: No such file or directory
% 1.08/184.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.08/184.53 eprover: No such file or directory
% 1.08/184.53 eprover: CPU time limit exceeded, terminating
% 1.08/184.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.55 eprover: No such file or directory
% 1.08/184.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.55 eprover: No such file or directory
% 1.08/184.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.55 eprover: No such file or directory
% 1.08/184.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.56 eprover: No such file or directory
% 1.08/184.58 eprover: CPU time limit exceeded, terminating
% 1.08/184.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.59 eprover: No such file or directory
% 1.08/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.60 eprover: No such file or directory
% 1.08/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.60 eprover: No such file or directory
% 1.08/184.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/184.61 eprover: No such file or directory
%------------------------------------------------------------------------------