TSTP Solution File: SET775+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 00:54:14 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 4
% Syntax : Number of formulae : 213 ( 7 unt; 0 def)
% Number of atoms : 1158 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 1277 ( 332 ~; 832 |; 90 &)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 231 ( 6 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII11,conjecture,
! [X4,X8,X7] :
( ( pre_order(X8,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X8,X2,X1) ) ) ) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thIII11) ).
fof(pre_order,axiom,
! [X7,X4] :
( pre_order(X7,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X7,X3,X3) )
& ! [X3,X5,X6] :
( ( member(X3,X4)
& member(X5,X4)
& member(X6,X4) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',pre_order) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X8,X7] :
( ( pre_order(X8,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X8,X2,X1) ) ) ) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII11]) ).
fof(c_0_4,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_5,negated_conjecture,
! [X12,X13] :
( pre_order(esk2_0,esk1_0)
& ( apply(esk2_0,X12,X13)
| ~ apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ( apply(esk2_0,X13,X12)
| ~ apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ( ~ apply(esk2_0,X12,X13)
| ~ apply(esk2_0,X13,X12)
| apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ~ equivalence(esk3_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(esk11_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| member(esk8_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| member(esk9_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| member(esk10_2(X8,X9),X8)
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk11_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk12_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk13_2(X8,X9),X8)
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk11_2(X8,X9),esk12_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk12_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk11_2(X8,X9),esk13_2(X8,X9))
| ~ apply(X9,esk10_2(X8,X9),esk9_2(X8,X9))
| ~ apply(X9,esk8_2(X8,X9),esk8_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_4])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( apply(esk2_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk3_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk3_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,plain,
! [X8,X9,X10,X11,X12,X13,X8,X9] :
( ( ~ member(X10,X9)
| apply(X8,X10,X10)
| ~ pre_order(X8,X9) )
& ( ~ member(X11,X9)
| ~ member(X12,X9)
| ~ member(X13,X9)
| ~ apply(X8,X11,X12)
| ~ apply(X8,X12,X13)
| apply(X8,X11,X13)
| ~ pre_order(X8,X9) )
& ( member(esk5_2(X8,X9),X9)
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk6_2(X8,X9),X9)
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk7_2(X8,X9),X9)
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( apply(X8,esk5_2(X8,X9),esk6_2(X8,X9))
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( apply(X8,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( ~ apply(X8,esk5_2(X8,X9),esk7_2(X8,X9))
| member(esk4_2(X8,X9),X9)
| pre_order(X8,X9) )
& ( member(esk5_2(X8,X9),X9)
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) )
& ( member(esk6_2(X8,X9),X9)
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) )
& ( member(esk7_2(X8,X9),X9)
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) )
& ( apply(X8,esk5_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) )
& ( apply(X8,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) )
& ( ~ apply(X8,esk5_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X8,esk4_2(X8,X9),esk4_2(X8,X9))
| pre_order(X8,X9) ) ),
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)],[pre_order])])])])])])]) ).
cnf(c_0_16,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_17,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_20,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_22,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_25,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_27,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_30,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
( apply(X1,X3,X4)
| ~ pre_order(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_33,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_34,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_36,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_37,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_38,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]) ).
cnf(c_0_39,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_40,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_42,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).
cnf(c_0_43,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_44,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_45,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_17]) ).
cnf(c_0_46,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_47,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_17]),c_0_18]) ).
cnf(c_0_48,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_49,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_22]) ).
cnf(c_0_50,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_51,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_23]) ).
cnf(c_0_52,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_40]) ).
cnf(c_0_53,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_27]) ).
cnf(c_0_54,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_42]) ).
cnf(c_0_55,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_28]) ).
cnf(c_0_56,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_57,negated_conjecture,
pre_order(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_58,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( apply(esk3_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk2_0,X1,X2)
| ~ apply(esk2_0,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_64,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_17]),c_0_57])]),c_0_20]),c_0_18]) ).
cnf(c_0_65,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_17]),c_0_57])]),c_0_18]),c_0_20]) ).
cnf(c_0_66,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_67,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_22]),c_0_57])]),c_0_25]),c_0_23]) ).
cnf(c_0_68,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_22]),c_0_57])]),c_0_23]),c_0_25]) ).
cnf(c_0_69,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_70,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_27]),c_0_57])]),c_0_30]),c_0_28]) ).
cnf(c_0_71,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_57])]),c_0_28]),c_0_30]) ).
cnf(c_0_72,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_73,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_18]),c_0_20]),c_0_65]),c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_23]),c_0_25]),c_0_68]),c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_70]),c_0_28]),c_0_30]),c_0_71]),c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_78,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_79,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_76]),c_0_75]),c_0_74]),c_0_77]) ).
cnf(c_0_80,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_81,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_82,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_83,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_84,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_86,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_79]) ).
cnf(c_0_87,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_79]) ).
cnf(c_0_88,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_87]),c_0_86]),c_0_88]) ).
cnf(c_0_91,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_87]),c_0_86]),c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_84]),c_0_85]),c_0_86]) ).
fof(c_0_95,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).
cnf(c_0_96,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_99,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_95])])])]) ).
cnf(c_0_100,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_86]),c_0_57])]),c_0_88]),c_0_85]) ).
cnf(c_0_101,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_86]),c_0_57])]),c_0_85]),c_0_88]) ).
cnf(c_0_102,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_79]) ).
cnf(c_0_103,plain,
( apply(X1,X3,X3)
| ~ pre_order(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_104,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_100]),c_0_85]),c_0_88]),c_0_101]),c_0_102]) ).
cnf(c_0_106,negated_conjecture,
~ equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_107,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_57]) ).
cnf(c_0_108,negated_conjecture,
member(esk8_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_109,negated_conjecture,
apply(esk2_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_111,negated_conjecture,
apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_109]),c_0_109]),c_0_108])]) ).
cnf(c_0_112,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_113,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_114,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_115,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_116,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_117,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_118,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_119,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_120,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_121,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_122,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_123,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_124,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_125,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_126,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_127,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_128,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_111]) ).
cnf(c_0_129,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_114,c_0_111]) ).
cnf(c_0_130,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_111]) ).
cnf(c_0_131,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_111]) ).
cnf(c_0_132,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_111]) ).
cnf(c_0_133,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_118,c_0_111]) ).
cnf(c_0_134,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_111]) ).
cnf(c_0_135,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_111]) ).
cnf(c_0_136,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_111]) ).
cnf(c_0_137,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_111]) ).
cnf(c_0_138,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_111]) ).
cnf(c_0_139,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_111]) ).
cnf(c_0_140,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_111]) ).
cnf(c_0_141,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_142,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_129]),c_0_128]),c_0_130]) ).
cnf(c_0_143,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_144,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_134]),c_0_133]),c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_136]),c_0_137]),c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_139]),c_0_138]),c_0_140]) ).
cnf(c_0_147,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_141]) ).
cnf(c_0_148,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_129]),c_0_128]),c_0_130]) ).
cnf(c_0_149,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_142]) ).
cnf(c_0_150,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_151,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_143]) ).
cnf(c_0_152,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_134]),c_0_133]),c_0_135]) ).
cnf(c_0_153,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_155,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_145]) ).
cnf(c_0_156,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_139]),c_0_138]),c_0_140]) ).
cnf(c_0_157,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_146]) ).
cnf(c_0_158,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_136]),c_0_137]),c_0_138]) ).
cnf(c_0_159,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_160,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_161,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_162,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_163,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_164,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_165,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_166,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_167,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_168,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_128]),c_0_57])]),c_0_130]),c_0_127]) ).
cnf(c_0_169,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_128]),c_0_57])]),c_0_127]),c_0_130]) ).
cnf(c_0_170,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_161,c_0_111]) ).
cnf(c_0_171,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_133]),c_0_57])]),c_0_135]),c_0_132]) ).
cnf(c_0_172,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_133]),c_0_57])]),c_0_132]),c_0_135]) ).
cnf(c_0_173,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_111]) ).
cnf(c_0_174,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_138]),c_0_57])]),c_0_140]),c_0_137]) ).
cnf(c_0_175,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_138]),c_0_57])]),c_0_137]),c_0_140]) ).
cnf(c_0_176,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_167,c_0_111]) ).
cnf(c_0_177,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_168]),c_0_127]),c_0_130]),c_0_169]),c_0_170]) ).
cnf(c_0_178,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_171]),c_0_132]),c_0_135]),c_0_172]),c_0_173]) ).
cnf(c_0_179,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_174]),c_0_137]),c_0_140]),c_0_175]),c_0_176]) ).
cnf(c_0_180,plain,
( epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_181,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_177]),c_0_178]),c_0_179]) ).
cnf(c_0_182,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_177]),c_0_178]),c_0_179]) ).
cnf(c_0_183,plain,
( epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_184,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_185,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_111]) ).
cnf(c_0_186,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_181]),c_0_179]),c_0_178]),c_0_182]) ).
cnf(c_0_187,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_111]) ).
cnf(c_0_188,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_184,c_0_111]) ).
cnf(c_0_189,plain,
( epred1_2(X1,X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_190,plain,
( epred1_2(X1,X2)
| member(esk11_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_191,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_192,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_186]) ).
cnf(c_0_193,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_186]) ).
cnf(c_0_194,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_189,c_0_111]) ).
cnf(c_0_195,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_190,c_0_111]) ).
cnf(c_0_196,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_191]),c_0_192]),c_0_193]) ).
cnf(c_0_197,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_194,c_0_186]) ).
cnf(c_0_198,plain,
( epred1_2(esk3_0,esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_186]) ).
cnf(c_0_199,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_196]) ).
cnf(c_0_200,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_197]),c_0_193]),c_0_198]) ).
cnf(c_0_201,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_202,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_203,plain,
( epred1_2(esk3_0,esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_201,c_0_111]) ).
cnf(c_0_204,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_197]),c_0_193]),c_0_198]) ).
cnf(c_0_205,plain,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_193]),c_0_57])]),c_0_198]),c_0_192]) ).
cnf(c_0_206,plain,
( epred1_2(esk3_0,esk1_0)
| ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_203,c_0_186]) ).
cnf(c_0_207,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_204]) ).
cnf(c_0_208,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_191]),c_0_192]),c_0_193]) ).
cnf(c_0_209,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_205]),c_0_192]),c_0_198]),c_0_206]) ).
cnf(c_0_210,negated_conjecture,
( epred1_2(esk3_0,esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_211,plain,
epred1_2(esk3_0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_193]),c_0_57])]),c_0_192]),c_0_198]) ).
cnf(c_0_212,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_211]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 02:07:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 213
% 0.24/1.42 # Proof object clause steps : 203
% 0.24/1.42 # Proof object formula steps : 10
% 0.24/1.42 # Proof object conjectures : 78
% 0.24/1.42 # Proof object clause conjectures : 75
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 56
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 147
% 0.24/1.42 # Proof object simplifying inferences : 167
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 17
% 0.24/1.42 # Removed by relevancy pruning/SinE : 14
% 0.24/1.42 # Initial clauses : 72
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 72
% 0.24/1.42 # Processed clauses : 1742
% 0.24/1.42 # ...of these trivial : 1
% 0.24/1.42 # ...subsumed : 1063
% 0.24/1.42 # ...remaining for further processing : 678
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 438
% 0.24/1.42 # Backward-rewritten : 66
% 0.24/1.42 # Generated clauses : 3181
% 0.24/1.42 # ...of the previous two non-trivial : 2331
% 0.24/1.42 # Contextual simplify-reflections : 3650
% 0.24/1.42 # Paramodulations : 3181
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 174
% 0.24/1.42 # Positive orientable unit clauses : 5
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 1
% 0.24/1.42 # Non-unit-clauses : 168
% 0.24/1.42 # Current number of unprocessed clauses: 1
% 0.24/1.42 # ...number of literals in the above : 2
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 504
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 102051
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 14444
% 0.24/1.42 # Non-unit clause-clause subsumptions : 5151
% 0.24/1.42 # Unit Clause-clause subsumption calls : 247
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 2
% 0.24/1.42 # BW rewrite match successes : 2
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 114220
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.177 s
% 0.24/1.42 # System time : 0.002 s
% 0.24/1.42 # Total time : 0.179 s
% 0.24/1.42 # Maximum resident set size: 3908 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: eprover: No such file or directory
% 0.24/23.47 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------