TSTP Solution File: SET773+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 00:54:13 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of formulae : 359 ( 18 unt; 0 def)
% Number of atoms : 2057 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 2751 (1053 ~;1603 |; 76 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 337 ( 4 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII09,conjecture,
! [X4,X8,X9,X7] :
( ( equivalence(X8,X4)
& equivalence(X9,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X9,X1,X2) ) ) ) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thIII09) ).
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/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_2,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) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X8,X9,X7] :
( ( equivalence(X8,X4)
& equivalence(X9,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X9,X1,X2) ) ) ) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII09]) ).
fof(c_0_4,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X14,X15] :
( equivalence(esk2_0,esk1_0)
& equivalence(esk3_0,esk1_0)
& ( apply(esk2_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( apply(esk3_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( ~ apply(esk2_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ~ equivalence(esk4_0,esk1_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_3])])])])])])]) ).
fof(c_0_6,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(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) ) ),
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_2])])])])])])]) ).
fof(c_0_7,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_4])])])]) ).
cnf(c_0_8,negated_conjecture,
( apply(esk2_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ equivalence(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk7_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ epred1_2(esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk6_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_18,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_23,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk7_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_26,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( apply(esk3_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15]) ).
cnf(c_0_30,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk6_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_31,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
cnf(c_0_33,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_36,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_37,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_15]) ).
cnf(c_0_38,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_27]) ).
cnf(c_0_39,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_42,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_43,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_15]) ).
cnf(c_0_44,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
cnf(c_0_46,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_47,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk7_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_48,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_49,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_14]),c_0_36])]),c_0_15]) ).
cnf(c_0_50,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_51,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_40]) ).
cnf(c_0_53,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_54,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_15]) ).
cnf(c_0_55,negated_conjecture,
equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_56,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_57,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk6_2(X1,esk4_0),X1)
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_12]) ).
cnf(c_0_58,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_36])]),c_0_15]) ).
cnf(c_0_59,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_60,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_61,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_15]) ).
cnf(c_0_62,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_14]),c_0_15]) ).
cnf(c_0_63,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk7_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_64,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_65,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_26]),c_0_36])]),c_0_15]) ).
cnf(c_0_66,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_67,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_15]) ).
cnf(c_0_68,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_54]) ).
cnf(c_0_69,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_23,c_0_55]) ).
cnf(c_0_70,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_15]) ).
cnf(c_0_71,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_18]),c_0_15]) ).
cnf(c_0_72,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| member(esk6_2(X1,esk4_0),X1)
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_73,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_74,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_31]),c_0_36])]),c_0_15]) ).
cnf(c_0_75,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_76,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_33]),c_0_36])]),c_0_15]) ).
cnf(c_0_77,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_61]) ).
cnf(c_0_78,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_62]) ).
cnf(c_0_79,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_26]),c_0_15]) ).
cnf(c_0_80,negated_conjecture,
( apply(esk4_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk3_0,X2,X1)
| ~ apply(esk2_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_81,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_82,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_83,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_39]),c_0_36])]),c_0_15]) ).
cnf(c_0_84,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_67]) ).
cnf(c_0_85,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_39]),c_0_69])]),c_0_15]) ).
cnf(c_0_86,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_70]) ).
cnf(c_0_87,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_71]) ).
cnf(c_0_88,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_31]),c_0_15]) ).
cnf(c_0_89,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_90,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_91,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_33]),c_0_15]) ).
cnf(c_0_92,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk5_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_93,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_76]) ).
cnf(c_0_94,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_46]),c_0_36])]),c_0_15]) ).
cnf(c_0_95,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_14]),c_0_69])]),c_0_15]) ).
cnf(c_0_96,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_79]) ).
cnf(c_0_97,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_98,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_26]),c_0_36])]),c_0_15]) ).
cnf(c_0_99,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_83]) ).
cnf(c_0_100,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_53]),c_0_36])]),c_0_15]) ).
cnf(c_0_101,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_85]) ).
cnf(c_0_102,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_53]),c_0_69])]),c_0_15]) ).
cnf(c_0_103,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_18]),c_0_69])]),c_0_15]) ).
cnf(c_0_104,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_88]) ).
cnf(c_0_105,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_89]) ).
cnf(c_0_106,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_31]),c_0_36])]),c_0_15]) ).
cnf(c_0_107,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_91]) ).
cnf(c_0_108,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_46]),c_0_15]) ).
cnf(c_0_109,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_110,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_111,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_95]) ).
cnf(c_0_112,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_26]),c_0_69])]),c_0_15]) ).
cnf(c_0_113,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_114,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_26]) ).
cnf(c_0_115,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_98]) ).
cnf(c_0_116,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_117,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_118,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_119,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_103]) ).
cnf(c_0_120,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_31]),c_0_69])]),c_0_15]) ).
cnf(c_0_121,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_122,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_31]) ).
cnf(c_0_123,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_106]) ).
cnf(c_0_124,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_33]),c_0_69])]),c_0_15]) ).
cnf(c_0_125,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_108]) ).
cnf(c_0_126,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(X1,esk7_2(esk1_0,X1),esk6_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_109]) ).
cnf(c_0_127,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_46]),c_0_36])]),c_0_15]) ).
cnf(c_0_128,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_129,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_15]) ).
cnf(c_0_130,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_26]),c_0_36])]),c_0_15]) ).
cnf(c_0_131,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(X1,esk6_2(esk1_0,X1),esk7_2(esk1_0,X1))
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_116]) ).
cnf(c_0_132,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_53]),c_0_36])]),c_0_15]) ).
cnf(c_0_133,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_53]),c_0_69])]),c_0_15]) ).
cnf(c_0_134,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_135,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_15]) ).
cnf(c_0_136,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_31]),c_0_36])]),c_0_15]) ).
cnf(c_0_137,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_124]) ).
cnf(c_0_138,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_46]),c_0_69])]),c_0_15]) ).
cnf(c_0_139,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_140,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(X2,esk7_2(esk1_0,X2),esk6_2(esk1_0,X2))
| ~ apply(X1,esk7_2(esk1_0,X1),esk6_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_126,c_0_46]) ).
cnf(c_0_141,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_127]) ).
cnf(c_0_142,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_26]),c_0_69])]),c_0_15]) ).
cnf(c_0_143,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_144,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_145,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| apply(X1,esk6_2(esk1_0,X1),esk7_2(esk1_0,X1))
| apply(X2,esk6_2(esk1_0,X2),esk7_2(esk1_0,X2))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_53]) ).
cnf(c_0_146,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_132]) ).
cnf(c_0_147,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_133]) ).
cnf(c_0_148,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_31]),c_0_69])]),c_0_15]) ).
cnf(c_0_149,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_150,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_151,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_15]) ).
cnf(c_0_152,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_46]),c_0_36])]),c_0_15]) ).
cnf(c_0_153,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_142]),c_0_143]) ).
cnf(c_0_154,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_15]) ).
cnf(c_0_155,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_53]),c_0_36])]),c_0_15]) ).
cnf(c_0_156,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_53]),c_0_69])]),c_0_15]) ).
cnf(c_0_157,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_148]),c_0_149]) ).
cnf(c_0_158,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_46]),c_0_69])]),c_0_15]) ).
cnf(c_0_159,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_26]),c_0_69])]),c_0_15]) ).
cnf(c_0_161,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_162,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_31]),c_0_69])]),c_0_15]) ).
cnf(c_0_163,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_158]),c_0_159]) ).
cnf(c_0_164,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_14]),c_0_15]) ).
cnf(c_0_165,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_39]),c_0_15]) ).
cnf(c_0_166,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_18]),c_0_15]) ).
cnf(c_0_167,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_46]),c_0_69])]),c_0_15]) ).
cnf(c_0_168,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_81]),c_0_15]) ).
cnf(c_0_169,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_116]),c_0_15]) ).
cnf(c_0_170,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_89]),c_0_15]) ).
cnf(c_0_171,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_33]),c_0_15]) ).
cnf(c_0_172,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_168]) ).
cnf(c_0_173,negated_conjecture,
( apply(esk2_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_169]),c_0_168]),c_0_170]) ).
cnf(c_0_174,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_175,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_109]),c_0_15]) ).
cnf(c_0_176,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_172,c_0_170]) ).
cnf(c_0_177,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_173]) ).
cnf(c_0_178,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk6_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_174]) ).
cnf(c_0_179,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_180,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_181,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_182,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_183,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_184,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_168]),c_0_36])]),c_0_170]) ).
cnf(c_0_185,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_15]) ).
cnf(c_0_186,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk6_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_180]) ).
cnf(c_0_187,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_188,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk7_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_181]) ).
cnf(c_0_189,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_190,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_191,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk7_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_181]) ).
cnf(c_0_192,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_182]) ).
cnf(c_0_193,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_194,negated_conjecture,
( apply(esk3_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_169]),c_0_168]),c_0_170]) ).
cnf(c_0_195,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_196,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_197,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_182]) ).
cnf(c_0_198,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_185]) ).
cnf(c_0_199,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_15]) ).
cnf(c_0_200,plain,
( epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_201,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_15]) ).
cnf(c_0_202,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk7_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_190]) ).
cnf(c_0_203,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_204,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_189]),c_0_15]) ).
cnf(c_0_205,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk7_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_190]) ).
cnf(c_0_206,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_15]) ).
cnf(c_0_207,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_194]),c_0_195]) ).
cnf(c_0_208,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_209,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_196]) ).
cnf(c_0_210,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_211,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_193]),c_0_15]) ).
cnf(c_0_212,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk4_0,esk6_2(X1,esk4_0),esk7_2(X1,esk4_0))
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_196]) ).
cnf(c_0_213,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| member(esk6_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_174]) ).
cnf(c_0_214,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_179]),c_0_36])]),c_0_15]) ).
cnf(c_0_215,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_199]) ).
cnf(c_0_216,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_200]) ).
cnf(c_0_217,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_218,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_219,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk8_2(X1,esk4_0),esk9_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk8_2(X1,esk4_0),esk1_0)
| ~ member(esk9_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_200]) ).
cnf(c_0_220,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_201]) ).
cnf(c_0_221,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_15]) ).
cnf(c_0_222,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_204]) ).
cnf(c_0_223,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_203]),c_0_15]) ).
cnf(c_0_224,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_206]) ).
cnf(c_0_225,plain,
member(esk5_2(esk1_0,esk4_0),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_168]),c_0_69])]),c_0_170]) ).
cnf(c_0_226,plain,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_36]) ).
cnf(c_0_227,plain,
( apply(esk3_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_69]) ).
cnf(c_0_228,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_15]) ).
cnf(c_0_229,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_211]) ).
cnf(c_0_230,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_210]),c_0_15]) ).
cnf(c_0_231,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_179]),c_0_15]) ).
cnf(c_0_232,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| member(esk6_2(X1,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_180]) ).
cnf(c_0_233,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_214]) ).
cnf(c_0_234,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_187]),c_0_36])]),c_0_15]) ).
cnf(c_0_235,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_15]) ).
cnf(c_0_236,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk2_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_218]) ).
cnf(c_0_237,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_238,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_217]),c_0_15]) ).
cnf(c_0_239,negated_conjecture,
( epred1_2(esk4_0,X1)
| apply(esk3_0,esk9_2(X1,esk4_0),esk10_2(X1,esk4_0))
| ~ apply(esk4_0,esk5_2(X1,esk4_0),esk5_2(X1,esk4_0))
| ~ apply(esk4_0,esk7_2(X1,esk4_0),esk6_2(X1,esk4_0))
| ~ member(esk9_2(X1,esk4_0),esk1_0)
| ~ member(esk10_2(X1,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_218]) ).
cnf(c_0_240,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_189]),c_0_36])]),c_0_15]) ).
cnf(c_0_241,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_221]) ).
cnf(c_0_242,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_189]),c_0_69])]),c_0_15]) ).
cnf(c_0_243,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_223]) ).
cnf(c_0_244,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_193]),c_0_36])]),c_0_15]) ).
cnf(c_0_245,negated_conjecture,
( apply(esk4_0,esk5_2(esk1_0,esk4_0),X1)
| ~ apply(esk2_0,esk5_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk5_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_225]) ).
cnf(c_0_246,plain,
apply(esk2_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_226,c_0_225]) ).
cnf(c_0_247,plain,
apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_227,c_0_225]) ).
cnf(c_0_248,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_228]) ).
cnf(c_0_249,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_193]),c_0_69])]),c_0_15]) ).
cnf(c_0_250,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_230]) ).
cnf(c_0_251,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_231]) ).
cnf(c_0_252,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_187]),c_0_15]) ).
cnf(c_0_253,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_254,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_255,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_235]) ).
cnf(c_0_256,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_15]) ).
cnf(c_0_257,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_238]) ).
cnf(c_0_258,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_237]),c_0_15]) ).
cnf(c_0_259,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_240]) ).
cnf(c_0_260,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_203]),c_0_36])]),c_0_15]) ).
cnf(c_0_261,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_242]) ).
cnf(c_0_262,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_203]),c_0_69])]),c_0_15]) ).
cnf(c_0_263,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_244]) ).
cnf(c_0_264,plain,
apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_225]),c_0_246]),c_0_247])]) ).
cnf(c_0_265,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_210]),c_0_36])]),c_0_15]) ).
cnf(c_0_266,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_249]) ).
cnf(c_0_267,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_210]),c_0_69])]),c_0_15]) ).
cnf(c_0_268,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_179]),c_0_69])]),c_0_15]) ).
cnf(c_0_269,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_252]) ).
cnf(c_0_270,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_253]) ).
cnf(c_0_271,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_187]),c_0_36])]),c_0_15]) ).
cnf(c_0_272,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_217]),c_0_36])]),c_0_15]) ).
cnf(c_0_273,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_256]) ).
cnf(c_0_274,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_217]),c_0_69])]),c_0_15]) ).
cnf(c_0_275,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_258]) ).
cnf(c_0_276,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_277,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_278,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_279,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_264])]) ).
cnf(c_0_280,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_264])]) ).
cnf(c_0_281,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_264])]) ).
cnf(c_0_282,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_264])]) ).
cnf(c_0_283,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_268]) ).
cnf(c_0_284,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_187]),c_0_69])]),c_0_15]) ).
cnf(c_0_285,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_286,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(X2,esk5_2(esk1_0,X2),esk5_2(esk1_0,X2))
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_270,c_0_187]) ).
cnf(c_0_287,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_271]) ).
cnf(c_0_288,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_272]) ).
cnf(c_0_289,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_237]),c_0_36])]),c_0_15]) ).
cnf(c_0_290,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_274]) ).
cnf(c_0_291,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_237]),c_0_69])]),c_0_15]) ).
cnf(c_0_292,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_276]) ).
cnf(c_0_293,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_203]),c_0_36])]),c_0_15]) ).
cnf(c_0_294,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_203]),c_0_69])]),c_0_15]) ).
cnf(c_0_295,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_296,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_297,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_298,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_299,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_15]) ).
cnf(c_0_300,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_187]),c_0_36])]),c_0_15]) ).
cnf(c_0_301,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_302,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_303,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_304,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_305,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X2),esk1_0)
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(X2,esk5_2(esk1_0,X2),esk5_2(esk1_0,X2))
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_292,c_0_203]) ).
cnf(c_0_306,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_293]) ).
cnf(c_0_307,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_294]) ).
cnf(c_0_308,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(X1,esk6_2(esk1_0,X1),esk7_2(esk1_0,X1))
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_295]) ).
cnf(c_0_309,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_210]),c_0_36]),c_0_264])]),c_0_15]) ).
cnf(c_0_310,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_210]),c_0_69]),c_0_264])]),c_0_15]) ).
cnf(c_0_311,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_187]),c_0_69])]),c_0_15]) ).
cnf(c_0_312,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_313,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X1),X2)
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1))
| ~ apply(X1,esk7_2(esk1_0,X1),esk6_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X1),X2)
| ~ apply(esk3_0,esk8_2(esk1_0,X1),X2)
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_301]) ).
cnf(c_0_314,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_237]),c_0_36])]),c_0_15]) ).
cnf(c_0_315,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_237]),c_0_69])]),c_0_15]) ).
cnf(c_0_316,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_15]) ).
cnf(c_0_317,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_203]),c_0_36])]),c_0_15]) ).
cnf(c_0_318,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_203]),c_0_69])]),c_0_15]) ).
cnf(c_0_319,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_320,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| apply(X1,esk6_2(esk1_0,X1),esk7_2(esk1_0,X1))
| apply(X2,esk6_2(esk1_0,X2),esk7_2(esk1_0,X2))
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(X2,esk5_2(esk1_0,X2),esk5_2(esk1_0,X2))
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_308,c_0_210]) ).
cnf(c_0_321,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_309]) ).
cnf(c_0_322,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_310]) ).
cnf(c_0_323,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_311]),c_0_312]) ).
cnf(c_0_324,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_325,plain,
( epred1_2(X1,esk1_0)
| epred1_2(X2,esk1_0)
| apply(esk4_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk2_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(esk3_0,esk8_2(esk1_0,X2),esk10_2(esk1_0,X1))
| ~ apply(X2,esk5_2(esk1_0,X2),esk5_2(esk1_0,X2))
| ~ apply(X2,esk7_2(esk1_0,X2),esk6_2(esk1_0,X2))
| ~ apply(X1,esk5_2(esk1_0,X1),esk5_2(esk1_0,X1))
| ~ apply(X1,esk7_2(esk1_0,X1),esk6_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_313,c_0_237]) ).
cnf(c_0_326,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_314]) ).
cnf(c_0_327,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_315]) ).
cnf(c_0_328,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]) ).
cnf(c_0_329,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_264])]),c_0_15]) ).
cnf(c_0_330,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_210]),c_0_36]),c_0_264])]),c_0_15]) ).
cnf(c_0_331,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_210]),c_0_69]),c_0_264])]),c_0_15]) ).
cnf(c_0_332,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_187]),c_0_69])]),c_0_15]) ).
cnf(c_0_333,plain,
( ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_15]) ).
cnf(c_0_334,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_237]),c_0_36])]),c_0_15]) ).
cnf(c_0_335,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_237]),c_0_69])]),c_0_15]) ).
cnf(c_0_336,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_189]),c_0_15]) ).
cnf(c_0_337,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331]) ).
cnf(c_0_338,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_179]),c_0_15]) ).
cnf(c_0_339,plain,
( ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]) ).
cnf(c_0_340,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_276]),c_0_15]) ).
cnf(c_0_341,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_193]),c_0_264])]),c_0_15]) ).
cnf(c_0_342,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_253]),c_0_15]) ).
cnf(c_0_343,plain,
( ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_217]),c_0_15]) ).
cnf(c_0_344,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_340]) ).
cnf(c_0_345,plain,
apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_295]),c_0_264])]),c_0_15]) ).
cnf(c_0_346,plain,
member(esk6_2(esk1_0,esk4_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_264])]) ).
cnf(c_0_347,plain,
member(esk7_2(esk1_0,esk4_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_264])]) ).
cnf(c_0_348,plain,
( ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_301]),c_0_15]) ).
cnf(c_0_349,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_344,c_0_342]) ).
cnf(c_0_350,negated_conjecture,
apply(esk2_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_345]),c_0_346]),c_0_347])]) ).
cnf(c_0_351,negated_conjecture,
apply(esk3_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_345]),c_0_346]),c_0_347])]) ).
cnf(c_0_352,plain,
( ~ apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0))
| ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_353,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_350]) ).
cnf(c_0_354,plain,
( apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X1)
| ~ member(esk6_2(esk1_0,esk4_0),X1)
| ~ member(esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_351]) ).
cnf(c_0_355,plain,
( ~ apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_264])]) ).
cnf(c_0_356,plain,
apply(esk2_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_347]),c_0_36]),c_0_346])]) ).
cnf(c_0_357,plain,
apply(esk3_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_347]),c_0_69]),c_0_346])]) ).
cnf(c_0_358,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_356])]),c_0_357])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 16:23:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 359
% 0.22/1.41 # Proof object clause steps : 351
% 0.22/1.41 # Proof object formula steps : 8
% 0.22/1.41 # Proof object conjectures : 59
% 0.22/1.41 # Proof object clause conjectures : 56
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 59
% 0.22/1.41 # Proof object initial formulas used : 2
% 0.22/1.41 # Proof object generating inferences : 284
% 0.22/1.41 # Proof object simplifying inferences : 310
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 17
% 0.22/1.41 # Removed by relevancy pruning/SinE : 15
% 0.22/1.41 # Initial clauses : 59
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 59
% 0.22/1.41 # Processed clauses : 3371
% 0.22/1.41 # ...of these trivial : 21
% 0.22/1.41 # ...subsumed : 1660
% 0.22/1.41 # ...remaining for further processing : 1689
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 697
% 0.22/1.41 # Backward-rewritten : 192
% 0.22/1.41 # Generated clauses : 12083
% 0.22/1.41 # ...of the previous two non-trivial : 9289
% 0.22/1.41 # Contextual simplify-reflections : 4687
% 0.22/1.41 # Paramodulations : 12083
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 800
% 0.22/1.41 # Positive orientable unit clauses : 21
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 3
% 0.22/1.41 # Non-unit-clauses : 776
% 0.22/1.41 # Current number of unprocessed clauses: 1348
% 0.22/1.41 # ...number of literals in the above : 15966
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 889
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 334273
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 29163
% 0.22/1.41 # Non-unit clause-clause subsumptions : 7005
% 0.22/1.41 # Unit Clause-clause subsumption calls : 3858
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 42
% 0.22/1.41 # BW rewrite match successes : 6
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 613558
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.833 s
% 0.22/1.41 # System time : 0.010 s
% 0.22/1.41 # Total time : 0.843 s
% 0.22/1.41 # Maximum resident set size: 7844 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------