TSTP Solution File: SET775+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:40 EDT 2023
% Result : Theorem 4.65s 1.01s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thIII11,conjecture,
! [X4,X8,X7] :
( ( pre_order(X8,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X8,X2,X1) ) ) ) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox/tmp/tmp.rknLt6p91w/E---3.1_21088.p',thIII11) ).
fof(pre_order,axiom,
! [X7,X4] :
( pre_order(X7,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X7,X3,X3) )
& ! [X3,X5,X6] :
( ( member(X3,X4)
& member(X5,X4)
& member(X6,X4) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rknLt6p91w/E---3.1_21088.p',pre_order) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rknLt6p91w/E---3.1_21088.p',equivalence) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X8,X7] :
( ( pre_order(X8,X4)
& ! [X1,X2] :
( ( member(X1,X4)
& member(X2,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X1,X2)
& apply(X8,X2,X1) ) ) ) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII11]) ).
fof(c_0_4,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
! [X12,X13] :
( pre_order(esk2_0,esk1_0)
& ( apply(esk2_0,X12,X13)
| ~ apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ( apply(esk2_0,X13,X12)
| ~ apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ( ~ apply(esk2_0,X12,X13)
| ~ apply(esk2_0,X13,X12)
| apply(esk3_0,X12,X13)
| ~ member(X12,esk1_0)
| ~ member(X13,esk1_0) )
& ~ equivalence(esk3_0,esk1_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35,X36,X37] :
( ( ~ member(X30,X28)
| apply(X29,X30,X30)
| ~ epred1_2(X29,X28) )
& ( ~ member(X31,X28)
| ~ member(X32,X28)
| ~ apply(X29,X31,X32)
| apply(X29,X32,X31)
| ~ epred1_2(X29,X28) )
& ( ~ member(X33,X28)
| ~ member(X34,X28)
| ~ member(X35,X28)
| ~ apply(X29,X33,X34)
| ~ apply(X29,X34,X35)
| apply(X29,X33,X35)
| ~ epred1_2(X29,X28) )
& ( member(esk11_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk8_2(X36,X37),X36)
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk11_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk12_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( member(esk13_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk11_2(X36,X37),esk12_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( apply(X37,esk12_2(X36,X37),esk13_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) )
& ( ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| epred1_2(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_7,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ member(X18,X17)
| apply(X16,X18,X18)
| ~ pre_order(X16,X17) )
& ( ~ member(X19,X17)
| ~ member(X20,X17)
| ~ member(X21,X17)
| ~ apply(X16,X19,X20)
| ~ apply(X16,X20,X21)
| apply(X16,X19,X21)
| ~ pre_order(X16,X17) )
& ( member(esk5_2(X22,X23),X23)
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( member(esk6_2(X22,X23),X23)
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( member(esk7_2(X22,X23),X23)
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( apply(X22,esk5_2(X22,X23),esk6_2(X22,X23))
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( apply(X22,esk6_2(X22,X23),esk7_2(X22,X23))
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( ~ apply(X22,esk5_2(X22,X23),esk7_2(X22,X23))
| member(esk4_2(X22,X23),X23)
| pre_order(X22,X23) )
& ( member(esk5_2(X22,X23),X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) )
& ( member(esk6_2(X22,X23),X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) )
& ( member(esk7_2(X22,X23),X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) )
& ( apply(X22,esk5_2(X22,X23),esk6_2(X22,X23))
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) )
& ( apply(X22,esk6_2(X22,X23),esk7_2(X22,X23))
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) )
& ( ~ apply(X22,esk5_2(X22,X23),esk7_2(X22,X23))
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| pre_order(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pre_order])])])])])]) ).
fof(c_0_8,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ apply(esk3_0,X2,X1)
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( apply(X3,X1,X1)
| ~ member(X1,X2)
| ~ pre_order(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
pre_order(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_13,plain,
! [X14,X15] :
( ( ~ equivalence(X15,X14)
| epred1_2(X15,X14) )
& ( ~ epred1_2(X15,X14)
| equivalence(X15,X14) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
cnf(c_0_14,plain,
( apply(X5,X1,X4)
| ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X2)
| ~ apply(X5,X1,X3)
| ~ apply(X5,X3,X4)
| ~ pre_order(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( member(esk12_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
~ equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk12_2(esk1_0,X1),esk12_2(esk1_0,X1))
| member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
~ epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
( apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_12])]),c_0_22]) ).
cnf(c_0_25,plain,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_26,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22]) ).
cnf(c_0_30,plain,
( member(esk13_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_12])]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( 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_5]) ).
cnf(c_0_33,plain,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk2_0,X1,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_36,plain,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_22]) ).
cnf(c_0_37,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,X1),esk13_2(esk1_0,X1))
| member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_39,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,plain,
( member(esk9_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk13_2(esk1_0,X1))
| member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,X1),X2)
| ~ apply(esk2_0,X2,esk13_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_42,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22]) ).
cnf(c_0_43,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_22]) ).
cnf(c_0_44,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_45,plain,
( member(esk13_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_46,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_22]) ).
cnf(c_0_47,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_30]),c_0_12])]),c_0_22]) ).
cnf(c_0_48,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_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_43,c_0_30]),c_0_12])]),c_0_22]) ).
cnf(c_0_49,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk13_2(esk1_0,X1),esk13_2(esk1_0,X1))
| member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_45]) ).
cnf(c_0_51,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_17]),c_0_22]) ).
cnf(c_0_53,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22]) ).
cnf(c_0_54,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_10]) ).
cnf(c_0_56,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_12])]),c_0_22]) ).
cnf(c_0_57,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_22]) ).
cnf(c_0_58,plain,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_56]) ).
cnf(c_0_59,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_17]),c_0_22]) ).
cnf(c_0_60,plain,
( member(esk11_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_61,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_62,plain,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_22]) ).
cnf(c_0_63,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_22]) ).
cnf(c_0_64,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_22]) ).
cnf(c_0_66,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_67,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_68,plain,
( member(esk13_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_69,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_70,plain,
( member(esk13_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_71,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_64]) ).
cnf(c_0_72,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_45]),c_0_12])]),c_0_22]) ).
cnf(c_0_73,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_66]) ).
cnf(c_0_74,plain,
( member(esk12_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_75,plain,
( member(esk12_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_76,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_67]) ).
cnf(c_0_77,plain,
( member(esk12_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_78,plain,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_22]) ).
cnf(c_0_79,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_70]) ).
cnf(c_0_80,plain,
( member(esk10_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_81,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk3_0,X2,esk13_2(esk1_0,X1))
| member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,X1),X2)
| ~ apply(esk2_0,X2,esk13_2(esk1_0,X1))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_82,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_22]) ).
cnf(c_0_83,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_45]),c_0_22]) ).
cnf(c_0_84,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_85,plain,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_22]) ).
cnf(c_0_86,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_75]) ).
cnf(c_0_87,plain,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_22]) ).
cnf(c_0_88,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_89,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_22]),c_0_63]) ).
cnf(c_0_90,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_70]) ).
cnf(c_0_91,plain,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_22]) ).
cnf(c_0_92,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_45]),c_0_12])]),c_0_22]) ).
cnf(c_0_93,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_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_83,c_0_45]),c_0_12])]),c_0_22]) ).
cnf(c_0_94,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_84]) ).
cnf(c_0_95,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_22]),c_0_63]) ).
cnf(c_0_96,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_75]) ).
cnf(c_0_97,plain,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_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_87,c_0_77]),c_0_12])]),c_0_22]) ).
cnf(c_0_98,plain,
( member(esk11_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_99,plain,
( member(esk11_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_100,plain,
( member(esk11_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk8_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_101,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_88]) ).
cnf(c_0_102,negated_conjecture,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_22]),c_0_63]) ).
cnf(c_0_103,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_104,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_77]),c_0_22]) ).
cnf(c_0_105,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_22]),c_0_63]) ).
cnf(c_0_107,plain,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_22]) ).
cnf(c_0_108,plain,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_69]),c_0_22]) ).
cnf(c_0_109,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk11_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_102]) ).
cnf(c_0_112,plain,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_88]) ).
cnf(c_0_114,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_12])]),c_0_22]),c_0_107]) ).
cnf(c_0_115,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_22]),c_0_63]) ).
cnf(c_0_116,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk11_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_100]) ).
cnf(c_0_117,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_84]) ).
cnf(c_0_118,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_22]),c_0_56]) ).
cnf(c_0_119,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_67]),c_0_22]) ).
cnf(c_0_120,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_106]),c_0_107]) ).
cnf(c_0_122,negated_conjecture,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_22]),c_0_63]) ).
cnf(c_0_123,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_117]) ).
cnf(c_0_124,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_102]),c_0_12])]),c_0_56]) ).
cnf(c_0_125,plain,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_77]),c_0_22]) ).
cnf(c_0_126,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_102]),c_0_12])]),c_0_22]),c_0_104]) ).
cnf(c_0_127,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_107]) ).
cnf(c_0_128,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_122]) ).
cnf(c_0_129,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_130,negated_conjecture,
( apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_102]) ).
cnf(c_0_131,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_22]) ).
cnf(c_0_132,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_98]),c_0_22]) ).
cnf(c_0_133,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_102]),c_0_104]) ).
cnf(c_0_134,negated_conjecture,
( epred1_2(X1,esk1_0)
| apply(esk2_0,esk11_2(esk1_0,X1),esk11_2(esk1_0,X1))
| member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_98]) ).
cnf(c_0_135,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_122]) ).
cnf(c_0_136,plain,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_22]),c_0_122]) ).
cnf(c_0_137,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_102]),c_0_12])]),c_0_132]) ).
cnf(c_0_138,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_106]),c_0_104]) ).
cnf(c_0_139,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_134]),c_0_22]),c_0_135]) ).
cnf(c_0_140,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_141,plain,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_102]),c_0_106]),c_0_122]),c_0_132]) ).
cnf(c_0_142,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_145,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_146,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_144]),c_0_122]),c_0_132]),c_0_63]) ).
cnf(c_0_148,negated_conjecture,
( apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_144]),c_0_122]),c_0_63]),c_0_132]) ).
cnf(c_0_149,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_69]),c_0_22]),c_0_132]),c_0_147]),c_0_148]) ).
cnf(c_0_151,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_140]) ).
cnf(c_0_153,negated_conjecture,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_106]),c_0_132]) ).
cnf(c_0_154,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_145]) ).
cnf(c_0_155,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_69]),c_0_22]),c_0_132]),c_0_147]),c_0_148]) ).
cnf(c_0_156,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk8_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_152]) ).
cnf(c_0_157,plain,
( member(esk8_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_158,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_22]) ).
cnf(c_0_159,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_102]),c_0_132]) ).
cnf(c_0_160,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_69]),c_0_22]),c_0_132]),c_0_147]),c_0_148]) ).
cnf(c_0_161,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_130]),c_0_22]),c_0_122]) ).
cnf(c_0_162,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_102]),c_0_12])]),c_0_132]) ).
cnf(c_0_163,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_102]),c_0_12])]),c_0_132]) ).
cnf(c_0_164,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_106]),c_0_132]) ).
cnf(c_0_165,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_102]),c_0_106]),c_0_122]),c_0_132]) ).
cnf(c_0_166,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_106]),c_0_132]) ).
cnf(c_0_167,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_106]),c_0_12])]),c_0_132]) ).
cnf(c_0_168,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_169,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_122]),c_0_132]) ).
cnf(c_0_170,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_16]) ).
cnf(c_0_171,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_69]),c_0_132]),c_0_147]),c_0_148]) ).
cnf(c_0_172,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_173,negated_conjecture,
member(esk8_2(esk1_0,esk3_0),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_122]),c_0_132]) ).
cnf(c_0_174,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_172]) ).
cnf(c_0_175,plain,
( member(esk13_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_176,negated_conjecture,
( apply(esk3_0,X1,esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk8_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_173]) ).
cnf(c_0_177,negated_conjecture,
apply(esk2_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_173]) ).
cnf(c_0_178,plain,
( member(esk12_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_179,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_180,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_174]) ).
cnf(c_0_181,plain,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_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_175,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_182,plain,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_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_178,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_183,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_179]) ).
cnf(c_0_184,plain,
( member(esk11_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_185,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_181]),c_0_182]) ).
cnf(c_0_186,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_183]) ).
cnf(c_0_188,plain,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_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_184,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_189,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_190,negated_conjecture,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_182]),c_0_188]) ).
cnf(c_0_191,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_181]),c_0_12])]),c_0_182]) ).
cnf(c_0_192,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_172]) ).
cnf(c_0_193,plain,
( member(esk9_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_194,negated_conjecture,
( apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_181]) ).
cnf(c_0_195,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_196,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_192]) ).
cnf(c_0_197,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_22]),c_0_188]) ).
cnf(c_0_198,plain,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_181]),c_0_12])]),c_0_182]),c_0_188]) ).
cnf(c_0_199,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_182]),c_0_181]) ).
cnf(c_0_200,plain,
( member(esk13_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_201,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_202,plain,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_181]),c_0_12])]),c_0_182]) ).
cnf(c_0_203,plain,
( member(esk12_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_204,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_200]) ).
cnf(c_0_205,plain,
( member(esk13_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_206,plain,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_188]) ).
cnf(c_0_207,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk9_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_179]) ).
cnf(c_0_208,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_203]) ).
cnf(c_0_209,plain,
( member(esk12_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_210,plain,
( member(esk11_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_211,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk9_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),X3)
| ~ member(esk9_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_204]) ).
cnf(c_0_212,plain,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_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_205,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_213,negated_conjecture,
( member(esk9_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_22]),c_0_188]),c_0_182]) ).
cnf(c_0_214,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk9_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),X3)
| ~ member(esk9_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_208]) ).
cnf(c_0_215,plain,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_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_209,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_216,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| member(esk11_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_210]) ).
cnf(c_0_217,plain,
( member(esk11_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_218,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_181]),c_0_212]) ).
cnf(c_0_219,negated_conjecture,
member(esk9_2(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_220,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_182]),c_0_215]) ).
cnf(c_0_221,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk10_2(X1,esk3_0))
| member(esk11_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk9_2(X1,esk3_0))
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),X3)
| ~ member(esk9_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_216]) ).
cnf(c_0_222,plain,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_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_217,c_0_176]),c_0_177]),c_0_173])]),c_0_22]) ).
cnf(c_0_223,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_12]),c_0_181]),c_0_212]) ).
cnf(c_0_224,negated_conjecture,
apply(esk2_0,esk9_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_219]) ).
cnf(c_0_225,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_12]),c_0_182]),c_0_215]) ).
cnf(c_0_226,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_188]),c_0_222]) ).
cnf(c_0_227,plain,
( member(esk13_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_228,negated_conjecture,
( apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_219]) ).
cnf(c_0_229,negated_conjecture,
( apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_219])]) ).
cnf(c_0_230,plain,
( member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_231,negated_conjecture,
( apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_224]),c_0_219])]) ).
cnf(c_0_232,negated_conjecture,
( apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_12]),c_0_188]),c_0_222]) ).
cnf(c_0_233,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_234,plain,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_22]),c_0_212]),c_0_229]) ).
cnf(c_0_235,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_200]) ).
cnf(c_0_236,plain,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_228]),c_0_22]),c_0_215]),c_0_231]) ).
cnf(c_0_237,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_203]) ).
cnf(c_0_238,plain,
( member(esk11_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_239,negated_conjecture,
( apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_224]),c_0_219])]) ).
cnf(c_0_240,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_233]) ).
cnf(c_0_241,negated_conjecture,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_219])]),c_0_22]),c_0_212]) ).
cnf(c_0_242,negated_conjecture,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_219])]),c_0_22]),c_0_215]) ).
cnf(c_0_243,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_244,plain,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_228]),c_0_22]),c_0_222]),c_0_239]) ).
cnf(c_0_245,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| member(esk11_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_210]) ).
cnf(c_0_246,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_240]) ).
cnf(c_0_247,negated_conjecture,
member(esk13_2(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_248,negated_conjecture,
member(esk12_2(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_249,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_243]) ).
cnf(c_0_250,negated_conjecture,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_219])]),c_0_22]),c_0_222]) ).
cnf(c_0_251,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_252,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_253,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_243]) ).
cnf(c_0_254,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_247]),c_0_248])]) ).
cnf(c_0_255,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_249]) ).
cnf(c_0_256,negated_conjecture,
member(esk11_2(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_257,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_251]) ).
cnf(c_0_258,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_252]) ).
cnf(c_0_259,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_253]) ).
cnf(c_0_260,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_247]),c_0_12]),c_0_248])]) ).
cnf(c_0_261,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_248]),c_0_256])]) ).
cnf(c_0_262,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_257]) ).
cnf(c_0_263,negated_conjecture,
apply(esk2_0,esk13_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_247]) ).
cnf(c_0_264,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_251]) ).
cnf(c_0_265,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_258]) ).
cnf(c_0_266,negated_conjecture,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_176]),c_0_177]),c_0_173])]),c_0_22]),c_0_256]),c_0_248])]) ).
cnf(c_0_267,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk10_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_233]) ).
cnf(c_0_268,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X3,esk12_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_260]) ).
cnf(c_0_269,negated_conjecture,
( apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_248]),c_0_12]),c_0_256])]) ).
cnf(c_0_270,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_252]) ).
cnf(c_0_271,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_248]),c_0_247])]),c_0_22]) ).
cnf(c_0_272,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_264]) ).
cnf(c_0_273,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_248]),c_0_12]),c_0_248]),c_0_256])]),c_0_22]) ).
cnf(c_0_274,plain,
( member(esk10_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_275,negated_conjecture,
( apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_212]) ).
cnf(c_0_276,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_248]),c_0_247])]),c_0_22]) ).
cnf(c_0_277,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X3,esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,X3)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_278,negated_conjecture,
apply(esk2_0,esk11_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_256]) ).
cnf(c_0_279,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_270]) ).
cnf(c_0_280,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_247]),c_0_12]),c_0_248])]) ).
cnf(c_0_281,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_247]),c_0_12]),c_0_247]),c_0_248])]),c_0_22]) ).
cnf(c_0_282,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_283,plain,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_22]),c_0_222]) ).
cnf(c_0_284,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_247]),c_0_12]),c_0_256]),c_0_248])]) ).
cnf(c_0_285,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_256])]) ).
cnf(c_0_286,plain,
( apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_287,negated_conjecture,
( apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_247]) ).
cnf(c_0_288,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_256]),c_0_248])]),c_0_22]) ).
cnf(c_0_289,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_290,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_278]),c_0_256])]) ).
cnf(c_0_291,plain,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_292,negated_conjecture,
( apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_247]),c_0_12]),c_0_256])]) ).
cnf(c_0_293,plain,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_256])]),c_0_22]) ).
cnf(c_0_294,negated_conjecture,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_247]),c_0_12]),c_0_256]),c_0_248])]) ).
cnf(c_0_295,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_256])]) ).
cnf(c_0_296,negated_conjecture,
( member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_278]),c_0_256])]) ).
cnf(c_0_297,plain,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]) ).
cnf(c_0_298,negated_conjecture,
member(esk10_2(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_299,negated_conjecture,
( apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_297]),c_0_219]),c_0_298])]) ).
cnf(c_0_300,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_256]) ).
cnf(c_0_301,plain,
( apply(X1,esk11_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_302,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_299]) ).
cnf(c_0_303,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),X3)
| ~ apply(esk2_0,X3,esk11_2(esk1_0,esk3_0))
| ~ apply(esk3_0,X1,X3)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(X3,esk1_0)
| ~ member(X3,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_300]) ).
cnf(c_0_304,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_301]) ).
cnf(c_0_305,negated_conjecture,
( apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk3_0))
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_306,negated_conjecture,
apply(esk2_0,esk10_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_298]) ).
cnf(c_0_307,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_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_303,c_0_304]),c_0_248]),c_0_256])]),c_0_22]) ).
cnf(c_0_308,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_301]) ).
cnf(c_0_309,negated_conjecture,
( apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk9_2(esk1_0,esk3_0),X1)
| ~ member(esk10_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_310,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_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_307,c_0_308]),c_0_256]),c_0_248])]),c_0_22]) ).
cnf(c_0_311,negated_conjecture,
apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_12]),c_0_219]),c_0_298])]) ).
cnf(c_0_312,negated_conjecture,
( apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_297]),c_0_298]),c_0_219])]) ).
cnf(c_0_313,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_228]),c_0_311]),c_0_298])]),c_0_312]) ).
cnf(c_0_314,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_315,negated_conjecture,
( apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_248]) ).
cnf(c_0_316,plain,
( apply(X1,esk5_2(X1,X2),esk6_2(X1,X2))
| member(esk4_2(X1,X2),X2)
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_317,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(X1,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_318,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk5_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_316]) ).
cnf(c_0_319,plain,
( apply(X1,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk4_2(X1,X2),X2)
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_320,negated_conjecture,
( apply(esk3_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_248]),c_0_256])]) ).
cnf(c_0_321,plain,
( apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_322,plain,
( member(esk7_2(X1,X2),X2)
| member(esk4_2(X1,X2),X2)
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_323,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk5_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_318]) ).
cnf(c_0_324,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_319]) ).
cnf(c_0_325,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_319]) ).
cnf(c_0_326,negated_conjecture,
( apply(esk2_0,X1,esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_320]),c_0_256])]) ).
cnf(c_0_327,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_321]) ).
cnf(c_0_328,plain,
( member(esk4_2(X1,X2),X2)
| pre_order(X1,X2)
| ~ apply(X1,esk5_2(X1,X2),esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_329,negated_conjecture,
( pre_order(X1,esk1_0)
| apply(esk3_0,X2,esk7_2(X1,esk1_0))
| member(esk4_2(X1,esk1_0),esk1_0)
| ~ apply(esk2_0,esk7_2(X1,esk1_0),X2)
| ~ apply(esk2_0,X2,esk7_2(X1,esk1_0))
| ~ member(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_322]) ).
cnf(c_0_330,plain,
( member(esk5_2(X1,X2),X2)
| member(esk4_2(X1,X2),X2)
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_331,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk5_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ pre_order(esk2_0,X2)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),X2)
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_332,plain,
( member(esk6_2(X1,X2),X2)
| member(esk4_2(X1,X2),X2)
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_333,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk7_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ pre_order(esk2_0,X3)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_325]) ).
cnf(c_0_334,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_335,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_247]),c_0_248])]),c_0_22]) ).
cnf(c_0_336,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk8_2(X1,esk3_0),esk8_2(X1,esk3_0))
| ~ apply(esk3_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_321]) ).
cnf(c_0_337,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).
cnf(c_0_338,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk5_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ pre_order(esk2_0,X1)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_322]),c_0_332]),c_0_330]) ).
cnf(c_0_339,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_322]),c_0_332]) ).
cnf(c_0_340,plain,
( ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_287]),c_0_256])]),c_0_22]) ).
cnf(c_0_341,negated_conjecture,
( apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_248]),c_0_247])]),c_0_22]) ).
cnf(c_0_342,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_12])]),c_0_322]),c_0_332]),c_0_330]) ).
cnf(c_0_343,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_322]),c_0_12])]),c_0_332]) ).
cnf(c_0_344,negated_conjecture,
( apply(esk2_0,esk11_2(esk1_0,esk3_0),X1)
| ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk2_0,esk12_2(esk1_0,esk3_0),X1)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_320]),c_0_256])]) ).
cnf(c_0_345,plain,
( ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_346,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_330]) ).
cnf(c_0_347,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk5_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk4_2(esk3_0,X1),X1)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_316]) ).
cnf(c_0_348,negated_conjecture,
( ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_327]),c_0_247]),c_0_248])]),c_0_22]),c_0_345]) ).
cnf(c_0_349,plain,
( apply(X1,esk6_2(X1,X2),esk7_2(X1,X2))
| pre_order(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_350,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk4_2(esk3_0,esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_330]),c_0_332]) ).
cnf(c_0_351,negated_conjecture,
( ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_336]),c_0_248]),c_0_247])]),c_0_22]) ).
cnf(c_0_352,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_349]) ).
cnf(c_0_353,plain,
( member(esk7_2(X1,X2),X2)
| pre_order(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_354,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk3_0,X1,esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk4_2(esk3_0,esk1_0),X1)
| ~ apply(esk2_0,X1,esk4_2(esk3_0,esk1_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_350]) ).
cnf(c_0_355,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_350]) ).
cnf(c_0_356,plain,
( member(esk6_2(X1,X2),X2)
| pre_order(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_357,negated_conjecture,
( ~ pre_order(esk3_0,esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_228]),c_0_311]),c_0_298])]),c_0_312]) ).
cnf(c_0_358,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ apply(esk2_0,X2,esk7_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_352]) ).
cnf(c_0_359,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk7_2(esk3_0,esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_350]),c_0_355]) ).
cnf(c_0_360,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk6_2(esk3_0,esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_354]),c_0_350]),c_0_355]) ).
cnf(c_0_361,plain,
( apply(X1,esk5_2(X1,X2),esk6_2(X1,X2))
| pre_order(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_362,negated_conjecture,
~ pre_order(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_176]),c_0_177]),c_0_173])]) ).
cnf(c_0_363,plain,
( member(esk5_2(X1,X2),X2)
| pre_order(X1,X2)
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_364,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_354]),c_0_350]),c_0_359]),c_0_360]),c_0_355]) ).
cnf(c_0_365,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,esk7_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_359]) ).
cnf(c_0_366,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_361]) ).
cnf(c_0_367,negated_conjecture,
member(esk4_2(esk3_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_350,c_0_362]) ).
cnf(c_0_368,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| member(esk5_2(esk3_0,esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_354]),c_0_350]),c_0_355]) ).
cnf(c_0_369,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk6_2(esk3_0,esk1_0),X1)
| ~ member(esk7_2(esk3_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_370,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk5_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_366]) ).
cnf(c_0_371,negated_conjecture,
( apply(esk3_0,X1,esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk4_2(esk3_0,esk1_0),X1)
| ~ apply(esk2_0,X1,esk4_2(esk3_0,esk1_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_367]) ).
cnf(c_0_372,negated_conjecture,
member(esk5_2(esk3_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_368,c_0_362]) ).
cnf(c_0_373,negated_conjecture,
member(esk6_2(esk3_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_360,c_0_362]) ).
cnf(c_0_374,negated_conjecture,
apply(esk2_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0)),
inference(sr,[status(thm)],[c_0_355,c_0_362]) ).
cnf(c_0_375,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_359]),c_0_12])]),c_0_360]) ).
cnf(c_0_376,negated_conjecture,
member(esk7_2(esk3_0,esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_359,c_0_362]) ).
cnf(c_0_377,negated_conjecture,
( apply(esk2_0,X1,esk5_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ member(esk5_2(esk3_0,esk1_0),X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(X1,X2) ),
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_370,c_0_371]),c_0_372]),c_0_373]),c_0_374]),c_0_367])]),c_0_362]) ).
cnf(c_0_378,negated_conjecture,
apply(esk2_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)),
inference(sr,[status(thm)],[c_0_375,c_0_362]) ).
cnf(c_0_379,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_349]) ).
cnf(c_0_380,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk5_2(X1,X2),esk7_2(X1,X2))
| ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_381,negated_conjecture,
( apply(esk3_0,X1,esk7_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),X1)
| ~ apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_376]) ).
cnf(c_0_382,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X1)
| ~ member(esk5_2(esk3_0,esk1_0),X1)
| ~ member(esk6_2(esk3_0,esk1_0),X1)
| ~ member(esk7_2(esk3_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_383,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk7_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_379]) ).
cnf(c_0_384,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,esk5_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_361]) ).
cnf(c_0_385,negated_conjecture,
( ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_372])]),c_0_362]) ).
cnf(c_0_386,negated_conjecture,
apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_376]),c_0_12]),c_0_372]),c_0_373])]) ).
cnf(c_0_387,negated_conjecture,
( apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(X1,X2) ),
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_383,c_0_371]),c_0_376]),c_0_373]),c_0_374]),c_0_367])]),c_0_362]) ).
cnf(c_0_388,negated_conjecture,
( pre_order(esk3_0,X1)
| apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ apply(esk2_0,X2,esk5_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk5_2(esk3_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_384]) ).
cnf(c_0_389,negated_conjecture,
( ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_386])]) ).
cnf(c_0_390,negated_conjecture,
( apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ member(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_376]),c_0_12]),c_0_373])]) ).
cnf(c_0_391,negated_conjecture,
( apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X2)
| ~ apply(esk2_0,X1,esk5_2(esk3_0,esk1_0))
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(esk5_2(esk3_0,esk1_0),X2)
| ~ member(X1,X2) ),
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_388,c_0_371]),c_0_373]),c_0_372]),c_0_374]),c_0_367])]),c_0_362]) ).
cnf(c_0_392,negated_conjecture,
( pre_order(esk3_0,esk1_0)
| apply(esk2_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_368]) ).
cnf(c_0_393,negated_conjecture,
( ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_372])]) ).
cnf(c_0_394,negated_conjecture,
( apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ apply(esk2_0,X1,esk5_2(esk3_0,esk1_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_373]),c_0_12]),c_0_372])]) ).
cnf(c_0_395,negated_conjecture,
apply(esk2_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0)),
inference(sr,[status(thm)],[c_0_392,c_0_362]) ).
cnf(c_0_396,negated_conjecture,
~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]),c_0_372])]) ).
cnf(c_0_397,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_371]),c_0_374]),c_0_367])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 16:45:19 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.rknLt6p91w/E---3.1_21088.p
% 4.65/1.01 # Version: 3.1pre001
% 4.65/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.65/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.65/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.65/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.65/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.65/1.01 # Starting sh5l with 300s (1) cores
% 4.65/1.01 # new_bool_1 with pid 21171 completed with status 0
% 4.65/1.01 # Result found by new_bool_1
% 4.65/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.65/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.65/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.65/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.65/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.65/1.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.65/1.01 # Search class: FGUNF-FFMF22-SFFFFFNN
% 4.65/1.01 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.65/1.01 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.65/1.01 # SAT001_MinMin_p005000_rr_RG with pid 21174 completed with status 0
% 4.65/1.01 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.65/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.65/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.65/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.65/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.65/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.65/1.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.65/1.01 # Search class: FGUNF-FFMF22-SFFFFFNN
% 4.65/1.01 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.65/1.01 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.65/1.01 # Preprocessing time : 0.001 s
% 4.65/1.01 # Presaturation interreduction done
% 4.65/1.01
% 4.65/1.01 # Proof found!
% 4.65/1.01 # SZS status Theorem
% 4.65/1.01 # SZS output start CNFRefutation
% See solution above
% 4.65/1.01 # Parsed axioms : 17
% 4.65/1.01 # Removed by relevancy pruning/SinE : 14
% 4.65/1.01 # Initial clauses : 72
% 4.65/1.01 # Removed in clause preprocessing : 0
% 4.65/1.01 # Initial clauses in saturation : 72
% 4.65/1.01 # Processed clauses : 4372
% 4.65/1.01 # ...of these trivial : 27
% 4.65/1.01 # ...subsumed : 2583
% 4.65/1.01 # ...remaining for further processing : 1762
% 4.65/1.01 # Other redundant clauses eliminated : 0
% 4.65/1.01 # Clauses deleted for lack of memory : 0
% 4.65/1.01 # Backward-subsumed : 968
% 4.65/1.01 # Backward-rewritten : 187
% 4.65/1.01 # Generated clauses : 11875
% 4.65/1.01 # ...of the previous two non-redundant : 8802
% 4.65/1.01 # ...aggressively subsumed : 0
% 4.65/1.01 # Contextual simplify-reflections : 752
% 4.65/1.01 # Paramodulations : 11862
% 4.65/1.01 # Factorizations : 0
% 4.65/1.01 # NegExts : 0
% 4.65/1.01 # Equation resolutions : 0
% 4.65/1.01 # Total rewrite steps : 4339
% 4.65/1.01 # Propositional unsat checks : 0
% 4.65/1.01 # Propositional check models : 0
% 4.65/1.01 # Propositional check unsatisfiable : 0
% 4.65/1.01 # Propositional clauses : 0
% 4.65/1.01 # Propositional clauses after purity: 0
% 4.65/1.01 # Propositional unsat core size : 0
% 4.65/1.01 # Propositional preprocessing time : 0.000
% 4.65/1.01 # Propositional encoding time : 0.000
% 4.65/1.01 # Propositional solver time : 0.000
% 4.65/1.01 # Success case prop preproc time : 0.000
% 4.65/1.01 # Success case prop encoding time : 0.000
% 4.65/1.01 # Success case prop solver time : 0.000
% 4.65/1.01 # Current number of processed clauses : 522
% 4.65/1.01 # Positive orientable unit clauses : 25
% 4.65/1.01 # Positive unorientable unit clauses: 0
% 4.65/1.01 # Negative unit clauses : 5
% 4.65/1.01 # Non-unit-clauses : 492
% 4.65/1.01 # Current number of unprocessed clauses: 2053
% 4.65/1.01 # ...number of literals in the above : 24638
% 4.65/1.01 # Current number of archived formulas : 0
% 4.65/1.01 # Current number of archived clauses : 1240
% 4.65/1.01 # Clause-clause subsumption calls (NU) : 566178
% 4.65/1.01 # Rec. Clause-clause subsumption calls : 28303
% 4.65/1.01 # Non-unit clause-clause subsumptions : 3907
% 4.65/1.01 # Unit Clause-clause subsumption calls : 6661
% 4.65/1.01 # Rewrite failures with RHS unbound : 0
% 4.65/1.01 # BW rewrite match attempts : 42
% 4.65/1.01 # BW rewrite match successes : 12
% 4.65/1.01 # Condensation attempts : 0
% 4.65/1.01 # Condensation successes : 0
% 4.65/1.01 # Termbank termtop insertions : 615674
% 4.65/1.01
% 4.65/1.01 # -------------------------------------------------
% 4.65/1.01 # User time : 0.571 s
% 4.65/1.01 # System time : 0.009 s
% 4.65/1.01 # Total time : 0.580 s
% 4.65/1.01 # Maximum resident set size: 2020 pages
% 4.65/1.01
% 4.65/1.01 # -------------------------------------------------
% 4.65/1.01 # User time : 0.573 s
% 4.65/1.01 # System time : 0.011 s
% 4.65/1.01 # Total time : 0.584 s
% 4.65/1.01 # Maximum resident set size: 1728 pages
% 4.65/1.01 % E---3.1 exiting
% 4.65/1.01 % E---3.1 exiting
%------------------------------------------------------------------------------