TSTP Solution File: SET773+4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET773+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : 300s
% DateTime : Sat May 4 09:23:53 EDT 2024
% Result : Theorem 3.48s 0.84s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thIII09,conjecture,
! [X4,X8,X9,X7] :
( ( equivalence(X8,X4)
& equivalence(X9,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X9,X1,X2) ) ) ) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.Lvvpe4XNvT/E---3.1_26505.p',thIII09) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Lvvpe4XNvT/E---3.1_26505.p',equivalence) ).
fof(c_0_2,negated_conjecture,
~ ! [X4,X8,X9,X7] :
( ( equivalence(X8,X4)
& equivalence(X9,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X9,X1,X2) ) ) ) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII09]) ).
fof(c_0_3,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_4,negated_conjecture,
! [X14,X15] :
( equivalence(esk2_0,esk1_0)
& equivalence(esk3_0,esk1_0)
& ( apply(esk2_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( apply(esk3_0,X14,X15)
| ~ apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ( ~ apply(esk2_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| apply(esk4_0,X14,X15)
| ~ member(X14,esk1_0)
| ~ member(X15,esk1_0) )
& ~ equivalence(esk4_0,esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
fof(c_0_5,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( ~ member(X20,X18)
| apply(X19,X20,X20)
| ~ epred1_2(X19,X18) )
& ( ~ member(X21,X18)
| ~ member(X22,X18)
| ~ apply(X19,X21,X22)
| apply(X19,X22,X21)
| ~ epred1_2(X19,X18) )
& ( ~ member(X23,X18)
| ~ member(X24,X18)
| ~ member(X25,X18)
| ~ apply(X19,X23,X24)
| ~ apply(X19,X24,X25)
| apply(X19,X23,X25)
| ~ epred1_2(X19,X18) )
& ( member(esk8_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk5_2(X26,X27),X26)
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk8_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk9_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( member(esk10_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk8_2(X26,X27),esk9_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( apply(X27,esk9_2(X26,X27),esk10_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) )
& ( ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| epred1_2(X27,X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_3])])])])])])]) ).
fof(c_0_6,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ apply(esk4_0,X1,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,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_5]) ).
fof(c_0_9,plain,
! [X16,X17] :
( ( ~ equivalence(X17,X16)
| epred1_2(X17,X16) )
& ( ~ epred1_2(X17,X16)
| equivalence(X17,X16) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[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_5]) ).
cnf(c_0_11,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ equivalence(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk4_0,X1,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ apply(esk2_0,X2,X4)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,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_5]) ).
cnf(c_0_17,negated_conjecture,
~ epred1_2(esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_21,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_5]) ).
cnf(c_0_22,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ apply(esk3_0,X2,X4)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_27,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_28,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_5]) ).
cnf(c_0_29,plain,
( apply(X3,X1,X1)
| ~ member(X1,X2)
| ~ epred1_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_32,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_5]) ).
cnf(c_0_33,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ apply(esk2_0,X2,X4)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_34,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_5]) ).
cnf(c_0_35,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_5]) ).
cnf(c_0_36,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]) ).
cnf(c_0_37,plain,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_38,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_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_30,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_39,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_5]) ).
cnf(c_0_40,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_42,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17]) ).
cnf(c_0_43,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_45,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_17]) ).
cnf(c_0_46,plain,
( apply(esk3_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_47,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_39]) ).
cnf(c_0_48,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk9_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_49,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_50,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_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_42,c_0_21]),c_0_23])]),c_0_17]) ).
cnf(c_0_51,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_17]) ).
cnf(c_0_52,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_53,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_54,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_55,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ apply(esk3_0,X2,X4)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_47]) ).
cnf(c_0_56,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_5]) ).
cnf(c_0_57,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_5]) ).
cnf(c_0_58,negated_conjecture,
( apply(esk4_0,X1,X2)
| ~ apply(esk2_0,X1,X2)
| ~ apply(esk3_0,X1,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_59,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk9_2(esk1_0,X1),X2)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_23])]) ).
cnf(c_0_60,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,X1),X2)
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_32]),c_0_31])]) ).
cnf(c_0_61,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_8]),c_0_17]) ).
cnf(c_0_62,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_63,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ apply(esk3_0,X2,X4)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_52]) ).
cnf(c_0_64,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_17]) ).
cnf(c_0_65,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_17]) ).
cnf(c_0_66,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk8_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk4_0,esk9_2(esk1_0,X1),X2)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_32]),c_0_60]) ).
cnf(c_0_68,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_5]) ).
cnf(c_0_69,negated_conjecture,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_61]) ).
cnf(c_0_70,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_62]) ).
cnf(c_0_71,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_17]) ).
cnf(c_0_72,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_73,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_39]) ).
cnf(c_0_74,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_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_65,c_0_39]),c_0_31])]),c_0_17]) ).
cnf(c_0_75,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk8_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X4,esk8_2(esk1_0,X1))
| ~ apply(esk3_0,X2,X4)
| ~ member(esk8_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_66]) ).
cnf(c_0_76,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_17]) ).
cnf(c_0_77,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_21]),c_0_17]) ).
cnf(c_0_78,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_79,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_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_71,c_0_21]),c_0_31])]),c_0_17]) ).
cnf(c_0_80,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ apply(esk2_0,X2,X4)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_73]) ).
cnf(c_0_82,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_32]),c_0_17]) ).
cnf(c_0_83,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ apply(esk2_0,X2,X4)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ member(X4,esk1_0)
| ~ member(X4,X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_40]) ).
cnf(c_0_84,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_17]) ).
cnf(c_0_85,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_8]),c_0_17]) ).
cnf(c_0_87,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_88,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_56]),c_0_17]) ).
cnf(c_0_89,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_82]) ).
cnf(c_0_90,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_68]),c_0_17]) ).
cnf(c_0_91,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_32]),c_0_17]) ).
cnf(c_0_92,plain,
( epred1_2(X1,esk1_0)
| apply(esk3_0,esk9_2(esk1_0,X1),esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_32]) ).
cnf(c_0_93,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_5]) ).
cnf(c_0_94,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_95,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_39]),c_0_23])]),c_0_17]) ).
cnf(c_0_96,negated_conjecture,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_41]),c_0_17]) ).
cnf(c_0_97,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_32]),c_0_23])]),c_0_17]) ).
cnf(c_0_98,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_17]) ).
cnf(c_0_99,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_17]) ).
cnf(c_0_100,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_32]),c_0_17]) ).
cnf(c_0_101,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_39]),c_0_31])]),c_0_17]) ).
cnf(c_0_102,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_57]),c_0_17]) ).
cnf(c_0_103,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_32]),c_0_31])]),c_0_17]) ).
cnf(c_0_104,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_28]),c_0_17]) ).
cnf(c_0_105,negated_conjecture,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_100]) ).
cnf(c_0_106,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_102]) ).
cnf(c_0_108,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_104]) ).
cnf(c_0_111,plain,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_39]),c_0_17]) ).
cnf(c_0_112,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_39]),c_0_31])]),c_0_17]) ).
cnf(c_0_113,plain,
( apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_32]),c_0_17]) ).
cnf(c_0_114,plain,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
cnf(c_0_115,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_32]),c_0_31])]),c_0_17]) ).
cnf(c_0_116,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_109]) ).
cnf(c_0_117,plain,
( apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_110]) ).
cnf(c_0_118,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_5]) ).
cnf(c_0_119,negated_conjecture,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_40]),c_0_17]),c_0_112]) ).
cnf(c_0_120,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_17]),c_0_115]) ).
cnf(c_0_121,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_104]),c_0_23])]) ).
cnf(c_0_122,plain,
( apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_104]),c_0_31])]) ).
cnf(c_0_123,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_17]),c_0_120]) ).
cnf(c_0_124,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_121]),c_0_104]),c_0_122]) ).
cnf(c_0_125,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_5]) ).
cnf(c_0_126,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_57]),c_0_17]) ).
cnf(c_0_127,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_5]) ).
cnf(c_0_128,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_17]),c_0_126]) ).
cnf(c_0_129,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_17]) ).
cnf(c_0_130,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_5]) ).
cnf(c_0_131,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_5]) ).
cnf(c_0_132,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_129]) ).
cnf(c_0_133,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_5]) ).
cnf(c_0_134,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_130]),c_0_17]),c_0_126]) ).
cnf(c_0_135,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_5]) ).
cnf(c_0_136,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_131]),c_0_17]),c_0_126]) ).
cnf(c_0_137,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_132]) ).
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))
| member(esk5_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_139,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_17]) ).
cnf(c_0_140,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_17]) ).
cnf(c_0_141,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_132]) ).
cnf(c_0_142,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_17]),c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_140]) ).
cnf(c_0_145,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_129]),c_0_23])]) ).
cnf(c_0_146,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_129]),c_0_23])]),c_0_139]) ).
cnf(c_0_147,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_139]) ).
cnf(c_0_148,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_143]) ).
cnf(c_0_149,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_129]) ).
cnf(c_0_151,plain,
( apply(esk2_0,X1,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_145]) ).
cnf(c_0_152,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_139]) ).
cnf(c_0_153,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_140]),c_0_23])]) ).
cnf(c_0_154,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_140]),c_0_31])]) ).
cnf(c_0_155,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_150]) ).
cnf(c_0_156,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_153]),c_0_140]),c_0_154]) ).
cnf(c_0_158,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_5]) ).
cnf(c_0_159,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_129]),c_0_31])]) ).
cnf(c_0_160,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_129]),c_0_23])]),c_0_139]) ).
cnf(c_0_161,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_17]),c_0_129]) ).
cnf(c_0_162,plain,
( apply(esk3_0,X1,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_159]) ).
cnf(c_0_163,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_140]) ).
cnf(c_0_164,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_154]),c_0_129]) ).
cnf(c_0_165,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_139]) ).
cnf(c_0_166,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_139]) ).
cnf(c_0_167,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_163]) ).
cnf(c_0_168,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_158]),c_0_17]) ).
cnf(c_0_169,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_165]) ).
cnf(c_0_170,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_166]) ).
cnf(c_0_171,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_140]),c_0_23])]),c_0_139]) ).
cnf(c_0_172,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_140]),c_0_31])]),c_0_129]) ).
cnf(c_0_173,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_139]),c_0_23])]) ).
cnf(c_0_174,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_139]),c_0_31])]) ).
cnf(c_0_175,negated_conjecture,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_171]),c_0_140]),c_0_139]) ).
cnf(c_0_176,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_138]),c_0_17]),c_0_139]) ).
cnf(c_0_177,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_173]),c_0_139]),c_0_174]) ).
cnf(c_0_178,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_179,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_5]) ).
cnf(c_0_180,negated_conjecture,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_140]) ).
cnf(c_0_181,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_5]) ).
cnf(c_0_182,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_17]) ).
cnf(c_0_183,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_181]),c_0_17]),c_0_139]) ).
cnf(c_0_184,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_182]),c_0_126]) ).
cnf(c_0_185,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_150]) ).
cnf(c_0_186,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_187,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_181]),c_0_17]),c_0_139]) ).
cnf(c_0_188,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_129]),c_0_23])]),c_0_139]) ).
cnf(c_0_189,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_187,c_0_184]) ).
cnf(c_0_190,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_143]) ).
cnf(c_0_191,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_5]) ).
cnf(c_0_192,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_188]) ).
cnf(c_0_193,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_129]),c_0_31])]),c_0_139]) ).
cnf(c_0_194,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_17]),c_0_129]) ).
cnf(c_0_195,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_147]),c_0_139]) ).
cnf(c_0_196,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_193]) ).
cnf(c_0_197,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_139]) ).
cnf(c_0_198,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_194,c_0_184]) ).
cnf(c_0_199,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_129]),c_0_23])]),c_0_139]) ).
cnf(c_0_200,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_144]) ).
cnf(c_0_201,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_139]) ).
cnf(c_0_202,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_140]),c_0_23])]),c_0_129]) ).
cnf(c_0_203,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_199]) ).
cnf(c_0_204,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_191]),c_0_17]),c_0_129]) ).
cnf(c_0_205,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_129]),c_0_31])]),c_0_139]) ).
cnf(c_0_206,negated_conjecture,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_202]),c_0_140]) ).
cnf(c_0_207,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_129]),c_0_23])]),c_0_139]) ).
cnf(c_0_208,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_204,c_0_184]) ).
cnf(c_0_209,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_205]) ).
cnf(c_0_210,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_139]) ).
cnf(c_0_211,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_140]),c_0_31])]),c_0_129]) ).
cnf(c_0_212,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_129]),c_0_31])]),c_0_139]) ).
cnf(c_0_213,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_5]) ).
cnf(c_0_214,plain,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_139]),c_0_212]) ).
cnf(c_0_215,plain,
member(esk5_2(esk1_0,esk4_0),esk1_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_17]),c_0_184]) ).
cnf(c_0_216,plain,
apply(esk2_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_37,c_0_215]) ).
cnf(c_0_217,plain,
apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_46,c_0_215]) ).
cnf(c_0_218,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_5]) ).
cnf(c_0_219,negated_conjecture,
apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_216]),c_0_217]),c_0_215])]) ).
cnf(c_0_220,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_17]) ).
cnf(c_0_221,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_220]) ).
cnf(c_0_222,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_220]) ).
cnf(c_0_223,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_5]) ).
cnf(c_0_224,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_221]) ).
cnf(c_0_225,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_222]) ).
cnf(c_0_226,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_219]),c_0_17]) ).
cnf(c_0_227,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_220]),c_0_23])]) ).
cnf(c_0_228,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_220]),c_0_31])]) ).
cnf(c_0_229,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_226]) ).
cnf(c_0_230,negated_conjecture,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_227]),c_0_220]),c_0_228]) ).
cnf(c_0_231,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_5]) ).
cnf(c_0_232,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_5]) ).
cnf(c_0_233,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_5]) ).
cnf(c_0_234,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_229]) ).
cnf(c_0_235,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_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_230,c_0_231]),c_0_219])]),c_0_17]),c_0_226]) ).
cnf(c_0_236,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_226]) ).
cnf(c_0_237,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_219]),c_0_17]) ).
cnf(c_0_238,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_219]),c_0_17]) ).
cnf(c_0_239,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_220]) ).
cnf(c_0_240,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_236]) ).
cnf(c_0_241,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_237]) ).
cnf(c_0_242,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_237]) ).
cnf(c_0_243,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_238]) ).
cnf(c_0_244,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_238]) ).
cnf(c_0_245,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_239,c_0_221]) ).
cnf(c_0_246,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_235]),c_0_220]) ).
cnf(c_0_247,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_241]) ).
cnf(c_0_248,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_242]) ).
cnf(c_0_249,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_5]) ).
cnf(c_0_250,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_243]) ).
cnf(c_0_251,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_244]) ).
cnf(c_0_252,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_229]) ).
cnf(c_0_253,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_220]),c_0_23])]),c_0_226]) ).
cnf(c_0_254,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_246,c_0_222]) ).
cnf(c_0_255,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_237]),c_0_23])]) ).
cnf(c_0_256,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_237]),c_0_31])]) ).
cnf(c_0_257,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_219]),c_0_17]) ).
cnf(c_0_258,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_238]),c_0_23])]) ).
cnf(c_0_259,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_238]),c_0_31])]) ).
cnf(c_0_260,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_5]) ).
cnf(c_0_261,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_226]),c_0_23])]) ).
cnf(c_0_262,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_236]) ).
cnf(c_0_263,negated_conjecture,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_253]),c_0_226]) ).
cnf(c_0_264,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_220]),c_0_31])]),c_0_226]) ).
cnf(c_0_265,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_255]),c_0_237]),c_0_256]) ).
cnf(c_0_266,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_5]) ).
cnf(c_0_267,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_257]) ).
cnf(c_0_268,negated_conjecture,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_258]),c_0_238]),c_0_259]) ).
cnf(c_0_269,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_5]) ).
cnf(c_0_270,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_219]),c_0_17]) ).
cnf(c_0_271,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_261]),c_0_226]) ).
cnf(c_0_272,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_226]),c_0_31])]) ).
cnf(c_0_273,negated_conjecture,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_274,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_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_265,c_0_266]),c_0_219])]),c_0_17]),c_0_220]) ).
cnf(c_0_275,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_267]) ).
cnf(c_0_276,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_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_268,c_0_269]),c_0_219])]),c_0_17]),c_0_257]) ).
cnf(c_0_277,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_257]) ).
cnf(c_0_278,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_270]) ).
cnf(c_0_279,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_280,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_237]) ).
cnf(c_0_281,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_238]) ).
cnf(c_0_282,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_277]) ).
cnf(c_0_283,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_278]) ).
cnf(c_0_284,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_270]) ).
cnf(c_0_285,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_5]) ).
cnf(c_0_286,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_237]) ).
cnf(c_0_287,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_281,c_0_243]) ).
cnf(c_0_288,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_276]),c_0_238]) ).
cnf(c_0_289,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_270]),c_0_23])]) ).
cnf(c_0_290,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_284]) ).
cnf(c_0_291,plain,
member(esk7_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_219])]),c_0_17]) ).
cnf(c_0_292,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_267]) ).
cnf(c_0_293,plain,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_238]),c_0_23])]),c_0_257]) ).
cnf(c_0_294,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_288,c_0_244]) ).
cnf(c_0_295,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_289]),c_0_270]) ).
cnf(c_0_296,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_270]),c_0_31])]) ).
cnf(c_0_297,negated_conjecture,
( apply(esk2_0,X1,esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_291]) ).
cnf(c_0_298,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_257]),c_0_23])]) ).
cnf(c_0_299,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_277]) ).
cnf(c_0_300,negated_conjecture,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_293]),c_0_257]) ).
cnf(c_0_301,plain,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_238]),c_0_31])]),c_0_257]) ).
cnf(c_0_302,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_303,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_5]) ).
cnf(c_0_304,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_297]) ).
cnf(c_0_305,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_291]) ).
cnf(c_0_306,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_298]),c_0_257]) ).
cnf(c_0_307,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_257]),c_0_31])]) ).
cnf(c_0_308,negated_conjecture,
( apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_309,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_219])]),c_0_17]),c_0_238]) ).
cnf(c_0_310,plain,
( apply(esk2_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_291]),c_0_23])]) ).
cnf(c_0_311,plain,
( apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_305]) ).
cnf(c_0_312,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_313,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_270]) ).
cnf(c_0_314,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_310]),c_0_291])]) ).
cnf(c_0_315,plain,
( apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_291]),c_0_31])]) ).
cnf(c_0_316,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_5]) ).
cnf(c_0_317,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_270]) ).
cnf(c_0_318,negated_conjecture,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_319,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_5]) ).
cnf(c_0_320,plain,
member(esk6_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_219])]),c_0_17]) ).
cnf(c_0_321,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_5]) ).
cnf(c_0_322,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_5]) ).
cnf(c_0_323,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk9_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]),c_0_219])]),c_0_17]) ).
cnf(c_0_324,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_5]) ).
cnf(c_0_325,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_5]) ).
cnf(c_0_326,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk10_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_321]),c_0_320]),c_0_219])]),c_0_17]) ).
cnf(c_0_327,plain,
member(esk9_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_219])]),c_0_17]) ).
cnf(c_0_328,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_5]) ).
cnf(c_0_329,plain,
( apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk8_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_324]),c_0_320]),c_0_219])]),c_0_17]) ).
cnf(c_0_330,plain,
member(esk10_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_219])]),c_0_17]) ).
cnf(c_0_331,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_327]) ).
cnf(c_0_332,plain,
member(esk8_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_219])]),c_0_17]) ).
cnf(c_0_333,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_330]) ).
cnf(c_0_334,plain,
( apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_331]) ).
cnf(c_0_335,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_5]) ).
cnf(c_0_336,negated_conjecture,
( apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_332]) ).
cnf(c_0_337,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_327]) ).
cnf(c_0_338,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X3,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_333]) ).
cnf(c_0_339,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_5]) ).
cnf(c_0_340,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_332]),c_0_219])]),c_0_17]) ).
cnf(c_0_341,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_336]) ).
cnf(c_0_342,plain,
apply(esk2_0,esk8_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_37,c_0_332]) ).
cnf(c_0_343,plain,
apply(esk3_0,esk8_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_46,c_0_332]) ).
cnf(c_0_344,negated_conjecture,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_330]) ).
cnf(c_0_345,plain,
( apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_337]) ).
cnf(c_0_346,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_327]),c_0_219])]),c_0_17]) ).
cnf(c_0_347,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_327]),c_0_23]),c_0_332])]) ).
cnf(c_0_348,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_332]),c_0_23])]) ).
cnf(c_0_349,negated_conjecture,
apply(esk4_0,esk8_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_342]),c_0_343]),c_0_332])]) ).
cnf(c_0_350,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X3,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_344]) ).
cnf(c_0_351,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_335]),c_0_332]),c_0_219])]),c_0_17]) ).
cnf(c_0_352,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_333]) ).
cnf(c_0_353,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_330]),c_0_23]),c_0_327])]) ).
cnf(c_0_354,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_332]),c_0_349])]) ).
cnf(c_0_355,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_339]),c_0_327]),c_0_219])]),c_0_17]) ).
cnf(c_0_356,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_327]),c_0_31]),c_0_332])]) ).
cnf(c_0_357,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_331]) ).
cnf(c_0_358,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_330]),c_0_23])]) ).
cnf(c_0_359,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_344]) ).
cnf(c_0_360,plain,
( apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_332])]) ).
cnf(c_0_361,plain,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_330]),c_0_31]),c_0_327])]) ).
cnf(c_0_362,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_343]),c_0_332])]) ).
cnf(c_0_363,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_337]) ).
cnf(c_0_364,plain,
( apply(esk2_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_327]),c_0_23])]) ).
cnf(c_0_365,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_358]),c_0_330])]) ).
cnf(c_0_366,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_330]),c_0_31])]) ).
cnf(c_0_367,negated_conjecture,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_360]),c_0_330]),c_0_332])]) ).
cnf(c_0_368,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_332])]) ).
cnf(c_0_369,plain,
( apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_327]),c_0_31])]) ).
cnf(c_0_370,plain,
( apply(esk2_0,X1,X2)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_364]) ).
cnf(c_0_371,negated_conjecture,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_372,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_5]) ).
cnf(c_0_373,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_5]) ).
cnf(c_0_374,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_375,plain,
( apply(esk3_0,X1,X2)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_369]) ).
cnf(c_0_376,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_332]) ).
cnf(c_0_377,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ epred1_2(esk2_0,X3)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_370,c_0_331]) ).
cnf(c_0_378,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_327]),c_0_219])]),c_0_17]) ).
cnf(c_0_379,plain,
apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_219])]),c_0_17]) ).
cnf(c_0_380,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ epred1_2(esk3_0,X3)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X3)
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_375,c_0_337]) ).
cnf(c_0_381,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_376]) ).
cnf(c_0_382,negated_conjecture,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_364]),c_0_327])]) ).
cnf(c_0_383,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_330])]) ).
cnf(c_0_384,negated_conjecture,
apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_379]),c_0_320])]) ).
cnf(c_0_385,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_378]),c_0_330])]) ).
cnf(c_0_386,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_348]),c_0_332])]) ).
cnf(c_0_387,plain,
( apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_332]),c_0_31])]) ).
cnf(c_0_388,negated_conjecture,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_382,c_0_369]) ).
cnf(c_0_389,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_5]) ).
cnf(c_0_390,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_384])]) ).
cnf(c_0_391,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_384])]) ).
cnf(c_0_392,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),X1)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_393,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_332]),c_0_219])]),c_0_17]) ).
cnf(c_0_394,plain,
( apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_330]),c_0_23]),c_0_327])]) ).
cnf(c_0_395,plain,
( apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_330]),c_0_31]),c_0_327])]) ).
cnf(c_0_396,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_327])]) ).
cnf(c_0_397,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_5]) ).
cnf(c_0_398,negated_conjecture,
( apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_394]),c_0_330])]),c_0_395]) ).
cnf(c_0_399,negated_conjecture,
apply(esk4_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_384])]) ).
cnf(c_0_400,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_219]),c_0_384]),c_0_399]),c_0_332])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET773+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n005.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 10:14:55 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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.Lvvpe4XNvT/E---3.1_26505.p
% 3.48/0.84 # Version: 3.1.0
% 3.48/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.48/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.48/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.48/0.84 # Starting new_bool_3 with 300s (1) cores
% 3.48/0.84 # Starting new_bool_1 with 300s (1) cores
% 3.48/0.84 # Starting sh5l with 300s (1) cores
% 3.48/0.84 # new_bool_1 with pid 26584 completed with status 0
% 3.48/0.84 # Result found by new_bool_1
% 3.48/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.48/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.48/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.48/0.84 # Starting new_bool_3 with 300s (1) cores
% 3.48/0.84 # Starting new_bool_1 with 300s (1) cores
% 3.48/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.48/0.84 # Search class: FGUNF-FFMF22-SFFFFFNN
% 3.48/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.48/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.48/0.84 # SAT001_MinMin_p005000_rr_RG with pid 26587 completed with status 0
% 3.48/0.84 # Result found by SAT001_MinMin_p005000_rr_RG
% 3.48/0.84 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.48/0.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.48/0.84 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.48/0.84 # Starting new_bool_3 with 300s (1) cores
% 3.48/0.84 # Starting new_bool_1 with 300s (1) cores
% 3.48/0.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.48/0.84 # Search class: FGUNF-FFMF22-SFFFFFNN
% 3.48/0.84 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.48/0.84 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 3.48/0.84 # Preprocessing time : 0.001 s
% 3.48/0.84 # Presaturation interreduction done
% 3.48/0.84
% 3.48/0.84 # Proof found!
% 3.48/0.84 # SZS status Theorem
% 3.48/0.84 # SZS output start CNFRefutation
% See solution above
% 3.48/0.84 # Parsed axioms : 17
% 3.48/0.84 # Removed by relevancy pruning/SinE : 15
% 3.48/0.84 # Initial clauses : 59
% 3.48/0.84 # Removed in clause preprocessing : 0
% 3.48/0.84 # Initial clauses in saturation : 59
% 3.48/0.84 # Processed clauses : 2989
% 3.48/0.84 # ...of these trivial : 12
% 3.48/0.84 # ...subsumed : 1495
% 3.48/0.84 # ...remaining for further processing : 1482
% 3.48/0.84 # Other redundant clauses eliminated : 0
% 3.48/0.84 # Clauses deleted for lack of memory : 0
% 3.48/0.84 # Backward-subsumed : 517
% 3.48/0.84 # Backward-rewritten : 474
% 3.48/0.84 # Generated clauses : 9134
% 3.48/0.84 # ...of the previous two non-redundant : 6257
% 3.48/0.84 # ...aggressively subsumed : 0
% 3.48/0.84 # Contextual simplify-reflections : 378
% 3.48/0.84 # Paramodulations : 9134
% 3.48/0.84 # Factorizations : 0
% 3.48/0.84 # NegExts : 0
% 3.48/0.84 # Equation resolutions : 0
% 3.48/0.84 # Disequality decompositions : 0
% 3.48/0.84 # Total rewrite steps : 5879
% 3.48/0.84 # ...of those cached : 5847
% 3.48/0.84 # Propositional unsat checks : 0
% 3.48/0.84 # Propositional check models : 0
% 3.48/0.84 # Propositional check unsatisfiable : 0
% 3.48/0.84 # Propositional clauses : 0
% 3.48/0.84 # Propositional clauses after purity: 0
% 3.48/0.84 # Propositional unsat core size : 0
% 3.48/0.84 # Propositional preprocessing time : 0.000
% 3.48/0.84 # Propositional encoding time : 0.000
% 3.48/0.84 # Propositional solver time : 0.000
% 3.48/0.84 # Success case prop preproc time : 0.000
% 3.48/0.84 # Success case prop encoding time : 0.000
% 3.48/0.84 # Success case prop solver time : 0.000
% 3.48/0.84 # Current number of processed clauses : 432
% 3.48/0.84 # Positive orientable unit clauses : 34
% 3.48/0.84 # Positive unorientable unit clauses: 0
% 3.48/0.84 # Negative unit clauses : 2
% 3.48/0.84 # Non-unit-clauses : 396
% 3.48/0.84 # Current number of unprocessed clauses: 1661
% 3.48/0.84 # ...number of literals in the above : 16640
% 3.48/0.84 # Current number of archived formulas : 0
% 3.48/0.84 # Current number of archived clauses : 1050
% 3.48/0.84 # Clause-clause subsumption calls (NU) : 197582
% 3.48/0.84 # Rec. Clause-clause subsumption calls : 24384
% 3.48/0.84 # Non-unit clause-clause subsumptions : 2361
% 3.48/0.84 # Unit Clause-clause subsumption calls : 906
% 3.48/0.84 # Rewrite failures with RHS unbound : 0
% 3.48/0.84 # BW rewrite match attempts : 48
% 3.48/0.84 # BW rewrite match successes : 12
% 3.48/0.84 # Condensation attempts : 0
% 3.48/0.84 # Condensation successes : 0
% 3.48/0.84 # Termbank termtop insertions : 404156
% 3.48/0.84 # Search garbage collected termcells : 825
% 3.48/0.84
% 3.48/0.84 # -------------------------------------------------
% 3.48/0.84 # User time : 0.422 s
% 3.48/0.84 # System time : 0.005 s
% 3.48/0.84 # Total time : 0.427 s
% 3.48/0.84 # Maximum resident set size: 2024 pages
% 3.48/0.84
% 3.48/0.84 # -------------------------------------------------
% 3.48/0.84 # User time : 0.425 s
% 3.48/0.84 # System time : 0.005 s
% 3.48/0.84 # Total time : 0.430 s
% 3.48/0.84 # Maximum resident set size: 1752 pages
% 3.48/0.84 % E---3.1 exiting
%------------------------------------------------------------------------------