TSTP Solution File: SET765+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET765+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:23:34 EDT 2023
% Result : Timeout 10.96s 300.03s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 4
% Syntax : Number of formulae : 217 ( 8 unt; 0 def)
% Number of atoms : 1174 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 1451 ( 494 ~; 871 |; 69 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 309 ( 0 sgn; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII01,conjecture,
! [X4,X7,X3] :
( ( equivalence(X7,X4)
& subset(X3,X4) )
=> equivalence(X7,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BnMJCMHiII/E---3.1_24496.p',thIII01) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BnMJCMHiII/E---3.1_24496.p',subset) ).
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/tmp/tmp.BnMJCMHiII/E---3.1_24496.p',equivalence) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X7,X3] :
( ( equivalence(X7,X4)
& subset(X3,X4) )
=> equivalence(X7,X3) ),
inference(assume_negation,[status(cth)],[thIII01]) ).
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,plain,
! [X13,X14,X15,X16,X17] :
( ( ~ subset(X13,X14)
| ~ member(X15,X13)
| member(X15,X14) )
& ( member(esk4_2(X16,X17),X16)
| subset(X16,X17) )
& ( ~ member(esk4_2(X16,X17),X17)
| subset(X16,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).
fof(c_0_6,negated_conjecture,
( equivalence(esk2_0,esk1_0)
& subset(esk3_0,esk1_0)
& ~ equivalence(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_7,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( ( ~ member(X21,X19)
| apply(X20,X21,X21)
| ~ epred1_2(X20,X19) )
& ( ~ member(X22,X19)
| ~ member(X23,X19)
| ~ apply(X20,X22,X23)
| apply(X20,X23,X22)
| ~ epred1_2(X20,X19) )
& ( ~ member(X24,X19)
| ~ member(X25,X19)
| ~ member(X26,X19)
| ~ apply(X20,X24,X25)
| ~ apply(X20,X25,X26)
| apply(X20,X24,X26)
| ~ epred1_2(X20,X19) )
& ( member(esk8_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| member(esk5_2(X27,X28),X27)
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| member(esk6_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| member(esk7_2(X27,X28),X27)
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk8_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk9_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( member(esk10_2(X27,X28),X27)
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk8_2(X27,X28),esk9_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( apply(X28,esk9_2(X27,X28),esk10_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) )
& ( ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28))
| ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
| ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
| epred1_2(X28,X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
cnf(c_0_8,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
subset(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( apply(X5,X1,X4)
| ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2)
| ~ apply(X5,X1,X3)
| ~ apply(X5,X3,X4)
| ~ epred1_2(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( member(esk10_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( member(esk9_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( member(esk10_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( member(esk9_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk10_2(X2,X1),X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_21,plain,
( member(esk8_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk10_2(X2,X1),X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_25,plain,
( member(esk8_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_26,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).
cnf(c_0_27,plain,
( member(esk7_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_30,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,plain,
( member(esk6_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_34,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_35,plain,
! [X11,X12] :
( ( ~ equivalence(X12,X11)
| epred1_2(X12,X11) )
& ( ~ epred1_2(X12,X11)
| equivalence(X12,X11) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_36,plain,
( apply(X4,X3,X1)
| ~ member(X1,X2)
| ~ member(X3,X2)
| ~ apply(X4,X1,X3)
| ~ epred1_2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,plain,
( member(esk9_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38,plain,
( member(esk9_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_40,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_41,plain,
( member(esk8_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_42,plain,
( member(esk8_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_45,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_40]) ).
cnf(c_0_48,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
( apply(X3,X1,X1)
| ~ member(X1,X2)
| ~ epred1_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_50,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_52,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_53,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47]) ).
cnf(c_0_54,plain,
( member(esk10_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_55,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ equivalence(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_57,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,plain,
( member(esk9_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_59,plain,
( member(esk10_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_60,plain,
( member(esk9_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_61,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,X3,esk9_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk8_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk8_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_52]) ).
cnf(c_0_63,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_53]) ).
cnf(c_0_64,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_65,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_66,negated_conjecture,
~ epred1_2(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_68,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_69,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_70,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| apply(X1,X2,esk9_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,X2,esk8_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_72,plain,
( member(esk10_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_73,plain,
( member(esk10_2(X1,X2),X1)
| member(esk5_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_74,plain,
( epred1_2(X1,X2)
| apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk10_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| member(esk10_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_65]),c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_67]),c_0_66]) ).
cnf(c_0_77,plain,
( member(esk8_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_78,plain,
( epred1_2(X1,X2)
| apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk10_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( member(esk6_2(esk3_0,esk2_0),esk3_0)
| member(esk10_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_69]),c_0_66]) ).
cnf(c_0_80,negated_conjecture,
( member(esk6_2(esk3_0,esk2_0),esk3_0)
| member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_70]),c_0_66]) ).
cnf(c_0_81,plain,
( member(esk8_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_82,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_55]),c_0_50])]),c_0_66]) ).
cnf(c_0_83,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_72]),c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_50])]),c_0_66]),c_0_76]),c_0_55]) ).
cnf(c_0_85,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_86,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| member(esk7_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_55]) ).
cnf(c_0_87,negated_conjecture,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_50])]),c_0_66]),c_0_80]),c_0_55]) ).
cnf(c_0_88,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_89,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| member(esk6_2(X1,esk2_0),X1)
| ~ member(esk5_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_55]) ).
cnf(c_0_90,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk8_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_82]) ).
cnf(c_0_91,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_92,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_46]),c_0_47]) ).
cnf(c_0_93,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_84]) ).
cnf(c_0_94,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_86]),c_0_66]) ).
cnf(c_0_96,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_87]) ).
cnf(c_0_97,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
( member(esk6_2(esk3_0,esk2_0),esk3_0)
| member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_89]),c_0_66]) ).
cnf(c_0_99,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_62]),c_0_50])]),c_0_66]) ).
cnf(c_0_100,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk10_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_75]),c_0_50])]),c_0_76]) ).
cnf(c_0_103,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_76]),c_0_50])]),c_0_66]),c_0_95]),c_0_55]) ).
cnf(c_0_104,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_79]),c_0_50])]),c_0_80]) ).
cnf(c_0_105,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_80]),c_0_50])]),c_0_66]),c_0_98]),c_0_55]) ).
cnf(c_0_106,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_99]) ).
cnf(c_0_107,negated_conjecture,
( epred1_2(X1,esk3_0)
| apply(X1,esk10_2(esk3_0,X1),esk9_2(esk3_0,X1))
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_62]) ).
cnf(c_0_108,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk10_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_102]) ).
cnf(c_0_109,plain,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_103]) ).
cnf(c_0_110,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk10_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_104]) ).
cnf(c_0_111,plain,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_50])]),c_0_66]) ).
cnf(c_0_113,plain,
( member(esk9_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_114,plain,
( member(esk9_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_115,plain,
( member(esk7_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_116,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_75]),c_0_50])]),c_0_76]) ).
cnf(c_0_117,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_76]),c_0_50])]),c_0_95]) ).
cnf(c_0_118,plain,
( member(esk6_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_119,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_79]),c_0_50])]),c_0_80]) ).
cnf(c_0_120,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_80]),c_0_50])]),c_0_98]) ).
cnf(c_0_121,plain,
( member(esk8_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_122,plain,
( member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_123,negated_conjecture,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_101]),c_0_50])]),c_0_66]) ).
cnf(c_0_124,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_113]),c_0_114]) ).
cnf(c_0_125,plain,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_66]),c_0_95]),c_0_117]),c_0_55]) ).
cnf(c_0_126,plain,
( member(esk6_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_66]),c_0_98]),c_0_120]),c_0_55]) ).
cnf(c_0_127,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_121]),c_0_122]) ).
cnf(c_0_128,plain,
( member(esk10_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_129,plain,
( member(esk10_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_130,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_123]) ).
cnf(c_0_131,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk9_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk5_2(X1,esk2_0),esk1_0)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk6_2(X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_55]) ).
cnf(c_0_132,negated_conjecture,
( member(esk7_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
( member(esk6_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk8_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk5_2(X1,esk2_0),esk1_0)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk6_2(X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_55]) ).
cnf(c_0_135,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk7_2(X2,X1),X3)
| ~ member(esk6_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_128]),c_0_129]) ).
cnf(c_0_136,plain,
( apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_137,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_101]),c_0_50])]),c_0_66]) ).
cnf(c_0_138,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_139,negated_conjecture,
( member(esk9_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_50])]),c_0_66]),c_0_133]) ).
cnf(c_0_140,negated_conjecture,
( member(esk8_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_132]),c_0_50])]),c_0_66]),c_0_133]) ).
cnf(c_0_141,negated_conjecture,
( epred1_2(esk2_0,X1)
| member(esk10_2(X1,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ member(esk5_2(X1,esk2_0),esk1_0)
| ~ member(esk7_2(X1,esk2_0),X2)
| ~ member(esk6_2(X1,esk2_0),X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_55]) ).
cnf(c_0_142,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_66]) ).
cnf(c_0_143,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_138]) ).
cnf(c_0_144,negated_conjecture,
( member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_140]) ).
cnf(c_0_146,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_147,negated_conjecture,
( member(esk10_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_132]),c_0_50])]),c_0_66]),c_0_133]) ).
cnf(c_0_148,plain,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk7_2(esk3_0,esk2_0),X1)
| ~ member(esk6_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_50])]),c_0_66]),c_0_145]),c_0_55]) ).
cnf(c_0_150,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ member(esk10_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( member(esk10_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_46]),c_0_50])]),c_0_66]) ).
cnf(c_0_153,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_50])]),c_0_66]),c_0_144]),c_0_55]) ).
cnf(c_0_155,plain,
( member(esk10_2(esk3_0,esk2_0),esk3_0)
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_152]),c_0_66]) ).
cnf(c_0_156,negated_conjecture,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk10_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_155]) ).
cnf(c_0_158,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_159,negated_conjecture,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_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_156,c_0_151]),c_0_50])]),c_0_144]),c_0_145]) ).
cnf(c_0_160,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_157]),c_0_50])]),c_0_66]) ).
cnf(c_0_161,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_158]) ).
cnf(c_0_162,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_159]) ).
cnf(c_0_163,plain,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_160]),c_0_66]) ).
cnf(c_0_164,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_144]),c_0_50])]),c_0_66]),c_0_145]),c_0_55]) ).
cnf(c_0_165,plain,
( apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_166,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_151]),c_0_50])]),c_0_145]) ).
cnf(c_0_167,plain,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_30]),c_0_66]) ).
cnf(c_0_168,plain,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_164]) ).
cnf(c_0_169,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_66]),c_0_55]) ).
cnf(c_0_170,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk10_2(X2,X1),X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_91]) ).
cnf(c_0_171,negated_conjecture,
( member(esk7_2(esk3_0,esk2_0),esk3_0)
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_20]),c_0_66]) ).
cnf(c_0_172,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_144]),c_0_50])]),c_0_145]) ).
cnf(c_0_173,plain,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk7_2(esk3_0,esk2_0),X1)
| ~ member(esk6_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_101]),c_0_62]) ).
cnf(c_0_175,negated_conjecture,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk7_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_29]),c_0_66]) ).
cnf(c_0_176,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_177,plain,
( apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(esk8_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_132]),c_0_50])]),c_0_133]) ).
cnf(c_0_179,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_82]),c_0_50])]),c_0_66]) ).
cnf(c_0_180,negated_conjecture,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk7_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_175]) ).
cnf(c_0_181,plain,
( epred1_2(X1,X2)
| apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ member(esk10_2(X2,X1),X3)
| ~ member(esk9_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_176]) ).
cnf(c_0_182,plain,
( apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(esk8_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_183,plain,
( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_179]),c_0_66]) ).
cnf(c_0_184,plain,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk8_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_180]),c_0_50])]),c_0_66]) ).
cnf(c_0_185,plain,
( apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_186,plain,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk9_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_180]),c_0_50])]),c_0_66]) ).
cnf(c_0_187,plain,
( apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_151]),c_0_50])]),c_0_66]),c_0_144]),c_0_55]) ).
cnf(c_0_188,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_144]),c_0_50])]),c_0_145]) ).
cnf(c_0_189,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_190,plain,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk7_2(esk3_0,esk2_0),X1)
| ~ member(esk6_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_183]) ).
cnf(c_0_191,negated_conjecture,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk8_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_184]) ).
cnf(c_0_192,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ member(esk9_2(X2,X1),X3)
| ~ member(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_185]) ).
cnf(c_0_193,negated_conjecture,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| member(esk9_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_186]) ).
cnf(c_0_194,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk10_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_187]) ).
cnf(c_0_195,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_188]) ).
cnf(c_0_196,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk10_2(X2,X1),X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_189]) ).
cnf(c_0_197,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_46]),c_0_50])]),c_0_66]),c_0_191]) ).
cnf(c_0_198,plain,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_50])]),c_0_66]),c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_151]),c_0_50])]),c_0_144]) ).
cnf(c_0_200,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk9_2(esk3_0,esk2_0),X1)
| ~ member(esk8_2(esk3_0,esk2_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_55]),c_0_145]) ).
cnf(c_0_201,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk10_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_66]) ).
cnf(c_0_202,plain,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ epred1_2(esk2_0,X1)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_198]) ).
cnf(c_0_203,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk10_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_199]) ).
cnf(c_0_204,negated_conjecture,
( apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_144]),c_0_50])]),c_0_145]) ).
cnf(c_0_205,plain,
( member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_206,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_101]),c_0_50])]),c_0_66]),c_0_193]) ).
cnf(c_0_207,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_62]),c_0_50])]),c_0_66]),c_0_191]) ).
cnf(c_0_208,plain,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk10_2(esk3_0,esk2_0),X2)
| ~ member(esk9_2(esk3_0,esk2_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_203,c_0_178]) ).
cnf(c_0_209,plain,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ epred1_2(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(esk8_2(esk3_0,esk2_0),X1)
| ~ member(esk9_2(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_204]) ).
cnf(c_0_210,plain,
( member(esk5_2(esk3_0,esk2_0),esk3_0)
| ~ member(esk6_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_66]),c_0_191]),c_0_207]),c_0_197]) ).
cnf(c_0_211,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_212,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
| ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_151]),c_0_50])]),c_0_144]) ).
cnf(c_0_213,negated_conjecture,
( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
| ~ member(esk5_2(esk3_0,esk2_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_144]),c_0_50])]),c_0_145]) ).
cnf(c_0_214,negated_conjecture,
member(esk5_2(esk3_0,esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_47]),c_0_50])]),c_0_66]) ).
cnf(c_0_215,plain,
~ member(esk5_2(esk3_0,esk2_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_66]),c_0_145]),c_0_213]),c_0_178]),c_0_55]) ).
cnf(c_0_216,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_214]),c_0_215]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET765+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 17:35:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.45 Running first-order model finding
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.BnMJCMHiII/E---3.1_24496.p
% 10.96/300.03 # Version: 3.1pre001
% 10.96/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.96/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.96/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.96/300.03 # Starting new_bool_3 with 300s (1) cores
% 10.96/300.03 # Starting new_bool_1 with 300s (1) cores
% 10.96/300.03 # Starting sh5l with 300s (1) cores
% 10.96/300.03 # new_bool_3 with pid 24574 completed with status 0
% 10.96/300.03 # Result found by new_bool_3
% 10.96/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.96/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.96/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.96/300.03 # Starting new_bool_3 with 300s (1) cores
% 10.96/300.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.96/300.03 # Search class: FGUNF-FFMF22-SFFFFFNN
% 10.96/300.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.96/300.03 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 10.96/300.03 # SAT001_MinMin_p005000_rr_RG with pid 24578 completed with status 0
% 10.96/300.03 # Result found by SAT001_MinMin_p005000_rr_RG
% 10.96/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.96/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.96/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.96/300.03 # Starting new_bool_3 with 300s (1) cores
% 10.96/300.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.96/300.03 # Search class: FGUNF-FFMF22-SFFFFFNN
% 10.96/300.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.96/300.03 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 10.96/300.03 # Preprocessing time : 0.001 s
% 10.96/300.03 # Presaturation interreduction done
% 10.96/300.03
% 10.96/300.03 # Proof found!
% 10.96/300.03 # SZS status Theorem
% 10.96/300.03 # SZS output start CNFRefutation
% See solution above
% 10.96/300.03 # Parsed axioms : 17
% 10.96/300.03 # Removed by relevancy pruning/SinE : 14
% 10.96/300.03 # Initial clauses : 59
% 10.96/300.03 # Removed in clause preprocessing : 0
% 10.96/300.03 # Initial clauses in saturation : 59
% 10.96/300.03 # Processed clauses : 782
% 10.96/300.03 # ...of these trivial : 0
% 10.96/300.03 # ...subsumed : 326
% 10.96/300.03 # ...remaining for further processing : 456
% 10.96/300.03 # Other redundant clauses eliminated : 0
% 10.96/300.03 # Clauses deleted for lack of memory : 0
% 10.96/300.03 # Backward-subsumed : 247
% 10.96/300.03 # Backward-rewritten : 7
% 10.96/300.03 # Generated clauses : 1844
% 10.96/300.03 # ...of the previous two non-redundant : 1285
% 10.96/300.03 # ...aggressively subsumed : 0
% 10.96/300.03 # Contextual simplify-reflections : 149
% 10.96/300.03 # Paramodulations : 1844
% 10.96/300.03 # Factorizations : 0
% 10.96/300.03 # NegExts : 0
% 10.96/300.03 # Equation resolutions : 0
% 10.96/300.03 # Total rewrite steps : 544
% 10.96/300.03 # Propositional unsat checks : 0
% 10.96/300.03 # Propositional check models : 0
% 10.96/300.03 # Propositional check unsatisfiable : 0
% 10.96/300.03 # Propositional clauses : 0
% 10.96/300.03 # Propositional clauses after purity: 0
% 10.96/300.03 # Propositional unsat core size : 0
% 10.96/300.03 # Propositional preprocessing time : 0.000
% 10.96/300.03 # Propositional encoding time : 0.000
% 10.96/300.03 # Propositional solver time : 0.000
% 10.96/300.03 # Success case prop preproc time : 0.000
% 10.96/300.03 # Success case prop encoding time : 0.000
% 10.96/300.03 # Success case prop solver time : 0.000
% 10.96/300.03 # Current number of processed clauses : 143
% 10.96/300.03 # Positive orientable unit clauses : 5
% 10.96/300.03 # Positive unorientable unit clauses: 0
% 10.96/300.03 # Negative unit clauses : 3
% 10.96/300.03 # Non-unit-clauses : 135
% 10.96/300.03 # Current number of unprocessed clauses: 162
% 10.96/300.03 # ...number of literals in the above : 1357
% 10.96/300.03 # Current number of archived formulas : 0
% 10.96/300.03 # Current number of archived clauses : 313
% 10.96/300.03 # Clause-clause subsumption calls (NU) : 29356
% 10.96/300.03 # Rec. Clause-clause subsumption calls : 4682
% 10.96/300.03 # Non-unit clause-clause subsumptions : 666
% 10.96/300.03 # Unit Clause-clause subsumption calls : 132
% 10.96/300.03 # Rewrite failures with RHS unbound : 0
% 10.96/300.03 # BW rewrite match attempts : 3
% 10.96/300.03 # BW rewrite match successes : 1
% 10.96/300.03 # Condensation attempts : 0
% 10.96/300.03 # Condensation successes : 0
% 10.96/300.03 # Termbank termtop insertions : 81507
% 10.96/300.03
% 10.96/300.03 # -------------------------------------------------
% 10.96/300.03 # User time : 0.094 s
% 10.96/300.03 # System time : 0.003 s
% 10.96/300.03 # Total time : 0.098 s
% 10.96/300.03 # Maximum resident set size: 1868 pages
% 10.96/300.03
% 10.96/300.03 # -------------------------------------------------
% 10.96/300.03 # User time : 0.096 s
% 10.96/300.03 # System time : 0.005 s
% 10.96/300.03 # Total time : 0.101 s
% 10.96/300.03 # Maximum resident set size: 1732 pages
% 10.96/300.04 % E---3.1 exiting
%------------------------------------------------------------------------------