%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET775+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:15:11 PM UTC 2026
% Result : Theorem 4.30s 1.08s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thIII11,conjecture,
! [X4,X8,X7] :
( ( ! [X1,X2] :
( ( member(X2,X4)
& member(X1,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X2,X1)
& apply(X8,X1,X2) ) ) )
& pre_order(X8,X4) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII11) ).
fof(pre_order,axiom,
! [X7,X4] :
( pre_order(X7,X4)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X4)
& member(X5,X4)
& member(X3,X4) )
=> ( ( apply(X7,X5,X6)
& apply(X7,X3,X5) )
=> apply(X7,X3,X6) ) )
& ! [X3] :
( member(X3,X4)
=> apply(X7,X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',pre_order) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X1)
& member(X5,X1)
& member(X3,X1) )
=> ( ( apply(X7,X5,X6)
& apply(X7,X3,X5) )
=> apply(X7,X3,X6) ) )
& ! [X3,X5] :
( ( member(X5,X1)
& member(X3,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X8,X7] :
( ( ! [X1,X2] :
( ( member(X2,X4)
& member(X1,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X8,X2,X1)
& apply(X8,X1,X2) ) ) )
& pre_order(X8,X4) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII11]) ).
fof(c_0_4,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X1)
& member(X5,X1)
& member(X3,X1) )
=> ( ( apply(X7,X5,X6)
& apply(X7,X3,X5) )
=> apply(X7,X3,X6) ) )
& ! [X3,X5] :
( ( member(X5,X1)
& member(X3,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) ) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
! [X12,X13] :
( ~ equivalence(esk3_0,esk1_0)
& ( ~ member(X13,esk1_0)
| ~ member(X12,esk1_0)
| apply(esk3_0,X12,X13)
| ~ apply(esk2_0,X13,X12)
| ~ apply(esk2_0,X12,X13) )
& ( ~ member(X13,esk1_0)
| ~ member(X12,esk1_0)
| ~ apply(esk3_0,X12,X13)
| apply(esk2_0,X13,X12) )
& ( ~ member(X13,esk1_0)
| ~ member(X12,esk1_0)
| ~ apply(esk3_0,X12,X13)
| apply(esk2_0,X12,X13) )
& pre_order(esk2_0,esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_6,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35,X36,X37] :
( ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk10_2(X36,X37),X36)
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| ~ apply(X37,esk8_2(X36,X37),esk8_2(X36,X37))
| member(esk9_2(X36,X37),X36)
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| ~ apply(X37,esk10_2(X36,X37),esk9_2(X36,X37))
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| apply(X37,esk9_2(X36,X37),esk10_2(X36,X37))
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk10_2(X36,X37),X36)
| member(esk11_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| ~ apply(X37,esk11_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| apply(X37,esk12_2(X36,X37),esk13_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| apply(X37,esk11_2(X36,X37),esk12_2(X36,X37)) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk13_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk12_2(X36,X37),X36) )
& ( epred1_2(X37,X36)
| member(esk8_2(X36,X37),X36)
| member(esk9_2(X36,X37),X36)
| member(esk11_2(X36,X37),X36) )
& ( ~ epred1_2(X29,X28)
| apply(X29,X33,X35)
| ~ apply(X29,X34,X35)
| ~ apply(X29,X33,X34)
| ~ member(X35,X28)
| ~ member(X34,X28)
| ~ member(X33,X28) )
& ( ~ epred1_2(X29,X28)
| apply(X29,X32,X31)
| ~ apply(X29,X31,X32)
| ~ member(X32,X28)
| ~ member(X31,X28) )
& ( ~ epred1_2(X29,X28)
| apply(X29,X30,X30)
| ~ member(X30,X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_7,plain,
! [X16,X17,X18,X19,X20,X21,X22,X23] :
( ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| ~ apply(X22,esk5_2(X22,X23),esk7_2(X22,X23)) )
& ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| apply(X22,esk6_2(X22,X23),esk7_2(X22,X23)) )
& ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| apply(X22,esk5_2(X22,X23),esk6_2(X22,X23)) )
& ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| member(esk7_2(X22,X23),X23) )
& ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| member(esk6_2(X22,X23),X23) )
& ( pre_order(X22,X23)
| ~ apply(X22,esk4_2(X22,X23),esk4_2(X22,X23))
| member(esk5_2(X22,X23),X23) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| ~ apply(X22,esk5_2(X22,X23),esk7_2(X22,X23)) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| apply(X22,esk6_2(X22,X23),esk7_2(X22,X23)) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| apply(X22,esk5_2(X22,X23),esk6_2(X22,X23)) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| member(esk7_2(X22,X23),X23) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| member(esk6_2(X22,X23),X23) )
& ( pre_order(X22,X23)
| member(esk4_2(X22,X23),X23)
| member(esk5_2(X22,X23),X23) )
& ( ~ pre_order(X16,X17)
| apply(X16,X19,X21)
| ~ apply(X16,X20,X21)
| ~ apply(X16,X19,X20)
| ~ member(X21,X17)
| ~ member(X20,X17)
| ~ member(X19,X17) )
& ( ~ pre_order(X16,X17)
| apply(X16,X18,X18)
| ~ member(X18,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[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,
( ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ apply(esk3_0,X2,X1)
| apply(esk2_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ pre_order(X3,X2)
| ~ member(X1,X2)
| apply(X3,X1,X1) ),
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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_14,plain,
( ~ pre_order(X5,X2)
| ~ apply(X5,X3,X4)
| ~ apply(X5,X1,X3)
| ~ member(X4,X2)
| ~ member(X3,X2)
| ~ member(X1,X2)
| apply(X5,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(X1,esk1_0)
| apply(esk2_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk13_2(X1,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,
( ~ epred1_2(X1,X2)
| equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| apply(X1,esk5_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk13_2(esk1_0,X1),esk13_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_20]) ).
cnf(c_0_26,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| apply(X1,esk6_2(X1,X2),esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,X2)
| apply(esk2_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_21]) ).
cnf(c_0_29,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk2_0,X2,X1)
| ~ apply(esk2_0,X1,X2)
| apply(esk3_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| member(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk5_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,X2,esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk12_2(esk1_0,X1),esk12_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_38,plain,
( ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_12])]),c_0_24]) ).
cnf(c_0_39,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,plain,
( ~ apply(X1,esk5_2(X1,X2),esk7_2(X1,X2))
| pre_order(X1,X2)
| member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk2_0,X2,esk7_2(X1,esk1_0))
| ~ apply(esk2_0,esk7_2(X1,esk1_0),X2)
| member(esk4_2(X1,esk1_0),esk1_0)
| apply(esk3_0,X2,esk7_2(X1,esk1_0))
| pre_order(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43,negated_conjecture,
( ~ member(esk7_2(esk3_0,X1),X2)
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk5_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ pre_order(esk2_0,X2)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,plain,
( pre_order(X1,X2)
| member(esk4_2(X1,X2),X2)
| member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,X2,esk7_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_24]) ).
cnf(c_0_47,plain,
( ~ member(X1,X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(spm,[status(thm)],[c_0_14,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
( ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk13_2(X1,esk3_0),esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_49,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_50,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ pre_order(esk2_0,X1)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk7_2(esk3_0,X1),esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_44]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| ~ pre_order(esk2_0,X2)
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_32]),c_0_44]) ).
cnf(c_0_53,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_12])]),c_0_24]) ).
cnf(c_0_54,plain,
( ~ member(X1,X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_17]),c_0_24]) ).
cnf(c_0_55,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk13_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk13_2(esk1_0,X1),esk13_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| pre_order(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_50,c_0_51]),c_0_12])]),c_0_32]),c_0_44]),c_0_42]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_32]),c_0_12])]),c_0_44]) ).
cnf(c_0_60,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| member(esk9_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)) ),
inference(spm,[status(thm)],[c_0_14,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_23]),c_0_24]) ).
cnf(c_0_62,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_10]) ).
cnf(c_0_63,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk11_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_55]) ).
cnf(c_0_64,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_65,negated_conjecture,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_24]) ).
cnf(c_0_66,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
| member(esk4_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_42]) ).
cnf(c_0_67,negated_conjecture,
( ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| member(esk4_2(esk3_0,X1),X1)
| apply(esk2_0,esk5_2(esk3_0,X1),esk6_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_68,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,X1,esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_29]),c_0_24]) ).
cnf(c_0_69,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_17]),c_0_12])]),c_0_24]) ).
cnf(c_0_70,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk9_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk11_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk11_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_63]) ).
cnf(c_0_72,negated_conjecture,
( member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk12_2(esk1_0,X1),esk12_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_64]) ).
cnf(c_0_73,plain,
( ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ 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)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_49]),c_0_12])]),c_0_24]) ).
cnf(c_0_74,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| pre_order(X1,X2)
| apply(X1,esk6_2(X1,X2),esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_75,negated_conjecture,
( member(esk4_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_42]),c_0_44]) ).
cnf(c_0_76,plain,
( ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_77,plain,
( ~ member(X2,esk1_0)
| ~ apply(esk2_0,X2,esk13_2(esk1_0,X1))
| ~ apply(esk2_0,esk13_2(esk1_0,X1),X2)
| member(esk9_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk13_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]) ).
cnf(c_0_78,plain,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_17]),c_0_24]) ).
cnf(c_0_80,negated_conjecture,
( ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_24]) ).
cnf(c_0_81,plain,
( ~ member(X1,X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(spm,[status(thm)],[c_0_14,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| apply(esk2_0,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_74]) ).
cnf(c_0_83,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| pre_order(X1,X2)
| member(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_84,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk4_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk4_2(esk3_0,esk1_0),X1)
| apply(esk3_0,X1,esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( apply(esk2_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_75]) ).
cnf(c_0_86,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| pre_order(X1,X2)
| member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_87,plain,
( ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_24]) ).
cnf(c_0_88,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_17]),c_0_12])]),c_0_24]) ).
cnf(c_0_89,plain,
( ~ member(X1,esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_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,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_17]),c_0_12])]),c_0_24]) ).
cnf(c_0_90,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ 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)
| apply(esk2_0,esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_64]),c_0_12])]),c_0_24]) ).
cnf(c_0_91,plain,
( ~ member(X1,X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk13_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_49]),c_0_24]) ).
cnf(c_0_92,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| pre_order(X1,X2)
| apply(X1,esk5_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_93,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ apply(esk2_0,X2,esk7_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| apply(esk2_0,X2,esk6_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_82]) ).
cnf(c_0_94,negated_conjecture,
( member(esk7_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_75]),c_0_85]) ).
cnf(c_0_95,negated_conjecture,
( member(esk6_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_75]),c_0_85]) ).
cnf(c_0_96,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk12_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,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_29]),c_0_24]) ).
cnf(c_0_98,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(spm,[status(thm)],[c_0_14,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_57]),c_0_24]) ).
cnf(c_0_100,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk12_2(X1,esk3_0),esk13_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_101,negated_conjecture,
( ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| apply(esk2_0,esk6_2(esk3_0,X1),esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_92]) ).
cnf(c_0_102,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| pre_order(X1,X2)
| member(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_103,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ 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))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_84]),c_0_75]),c_0_94]),c_0_95]),c_0_85]) ).
cnf(c_0_104,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_94]) ).
cnf(c_0_105,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| member(esk9_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_107,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),X2)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| 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)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_64]),c_0_24]) ).
cnf(c_0_108,plain,
( ~ 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)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_49]),c_0_12])]),c_0_24]) ).
cnf(c_0_109,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk12_2(X1,esk3_0),X3)
| ~ member(esk13_2(X1,esk3_0),X3)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| ~ member(esk13_2(X1,esk3_0),esk1_0)
| ~ apply(esk2_0,X2,esk12_2(X1,esk3_0))
| ~ pre_order(esk2_0,X3)
| member(esk8_2(X1,esk3_0),X1)
| member(esk10_2(X1,esk3_0),X1)
| apply(esk2_0,X2,esk13_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk5_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| apply(esk2_0,X2,esk5_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
( member(esk5_2(esk3_0,esk1_0),esk1_0)
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_84]),c_0_75]),c_0_85]) ).
cnf(c_0_112,negated_conjecture,
( ~ member(esk7_2(esk3_0,esk1_0),X1)
| ~ member(esk6_2(esk3_0,esk1_0),X1)
| ~ pre_order(esk2_0,X1)
| apply(esk2_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| 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_105,c_0_106]),c_0_24]) ).
cnf(c_0_114,plain,
( ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_115,plain,
( ~ member(X2,esk1_0)
| ~ apply(esk2_0,X2,esk13_2(esk1_0,X1))
| ~ apply(esk2_0,esk13_2(esk1_0,X1),X2)
| member(esk10_2(esk1_0,X1),esk1_0)
| member(esk8_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk13_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_116,plain,
( ~ member(esk13_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),X1)
| ~ member(esk11_2(esk1_0,esk3_0),X1)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ pre_order(esk2_0,X1)
| 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)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk2_0,X2)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_49]),c_0_24]) ).
cnf(c_0_118,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(esk5_2(esk3_0,esk1_0),X2)
| ~ 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))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_84]),c_0_75]),c_0_95]),c_0_111]),c_0_85]) ).
cnf(c_0_119,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_94]),c_0_12])]),c_0_95]) ).
cnf(c_0_120,negated_conjecture,
( ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| apply(esk2_0,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_74]) ).
cnf(c_0_121,plain,
( ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_29]),c_0_24]) ).
cnf(c_0_122,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_123,plain,
( ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_24]) ).
cnf(c_0_124,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ 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)
| apply(esk2_0,esk13_2(esk1_0,esk3_0),esk11_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_49]),c_0_12])]),c_0_24]) ).
cnf(c_0_125,plain,
( ~ member(X1,esk1_0)
| ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ 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,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_49]),c_0_12])]),c_0_24]) ).
cnf(c_0_126,plain,
( ~ apply(X1,esk4_2(X1,X2),esk4_2(X1,X2))
| ~ apply(X1,esk5_2(X1,X2),esk7_2(X1,X2))
| pre_order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_127,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),X1)
| apply(esk3_0,X1,esk7_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_94]) ).
cnf(c_0_128,negated_conjecture,
( ~ member(esk7_2(esk3_0,esk1_0),X1)
| ~ member(esk6_2(esk3_0,esk1_0),X1)
| ~ member(esk5_2(esk3_0,esk1_0),X1)
| ~ pre_order(esk2_0,X1)
| apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( ~ member(X2,X3)
| ~ member(esk6_2(esk3_0,X1),X3)
| ~ member(esk7_2(esk3_0,X1),X3)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ member(esk7_2(esk3_0,X1),esk1_0)
| ~ apply(esk2_0,X2,esk6_2(esk3_0,X1))
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| ~ pre_order(esk2_0,X3)
| apply(esk2_0,X2,esk7_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_120]) ).
cnf(c_0_130,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_121,c_0_122]),c_0_24]) ).
cnf(c_0_131,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_132,plain,
( ~ member(X1,esk1_0)
| ~ 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,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_64]),c_0_24]) ).
cnf(c_0_133,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
| ~ apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_111]) ).
cnf(c_0_134,negated_conjecture,
( apply(esk2_0,esk7_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
| pre_order(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_128,c_0_94]),c_0_12])]),c_0_95]),c_0_111]) ).
cnf(c_0_135,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk6_2(esk3_0,esk1_0),X2)
| ~ member(esk7_2(esk3_0,esk1_0),X2)
| ~ 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))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_84]),c_0_75]),c_0_95]),c_0_94]),c_0_85]) ).
cnf(c_0_136,plain,
( ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_137,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X1)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_130]) ).
cnf(c_0_138,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_139,plain,
( ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_140,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_141,plain,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_142,negated_conjecture,
( ~ member(esk11_2(X1,esk3_0),esk1_0)
| ~ member(esk12_2(X1,esk3_0),esk1_0)
| member(esk10_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk11_2(X1,esk3_0),esk12_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_55]) ).
cnf(c_0_143,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
| ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk6_2(esk3_0,esk1_0))
| apply(esk2_0,X1,esk7_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_94]),c_0_12])]),c_0_95]) ).
cnf(c_0_145,plain,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_24]) ).
cnf(c_0_146,negated_conjecture,
( ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| member(esk13_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_138]) ).
cnf(c_0_147,plain,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_137]),c_0_24]) ).
cnf(c_0_148,negated_conjecture,
( ~ member(esk10_2(X1,esk3_0),esk1_0)
| ~ member(esk9_2(X1,esk3_0),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk10_2(X1,esk3_0),esk9_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_140]) ).
cnf(c_0_149,negated_conjecture,
( ~ member(esk12_2(esk1_0,esk3_0),esk1_0)
| ~ 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_24]) ).
cnf(c_0_150,negated_conjecture,
( ~ apply(esk2_0,esk5_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
| ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_111]) ).
cnf(c_0_151,negated_conjecture,
( ~ member(esk5_2(esk3_0,X1),esk1_0)
| ~ member(esk6_2(esk3_0,X1),esk1_0)
| ~ apply(esk3_0,esk4_2(esk3_0,X1),esk4_2(esk3_0,X1))
| apply(esk2_0,esk5_2(esk3_0,X1),esk6_2(esk3_0,X1))
| pre_order(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_92]) ).
cnf(c_0_152,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_153,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_24]),c_0_130]) ).
cnf(c_0_154,negated_conjecture,
( ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| member(esk13_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_138]) ).
cnf(c_0_155,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_24]),c_0_130]) ).
cnf(c_0_156,negated_conjecture,
( ~ member(esk9_2(X1,esk3_0),esk1_0)
| ~ member(esk10_2(X1,esk3_0),esk1_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk8_2(X1,esk3_0),X1)
| apply(esk2_0,esk9_2(X1,esk3_0),esk10_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_140]) ).
cnf(c_0_157,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_158,plain,
( ~ member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_64]),c_0_24]) ).
cnf(c_0_159,plain,
( epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_160,negated_conjecture,
( ~ apply(esk3_0,esk4_2(esk3_0,esk1_0),esk4_2(esk3_0,esk1_0))
| pre_order(esk3_0,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_111]),c_0_95]) ).
cnf(c_0_161,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk8_2(X2,X1),X2)
| apply(X1,X3,esk13_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_152]) ).
cnf(c_0_162,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_24]),c_0_130]) ).
cnf(c_0_163,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_24]),c_0_130]) ).
cnf(c_0_164,plain,
( ~ member(X3,X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk11_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,X3,esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_157]) ).
cnf(c_0_165,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_158,c_0_159]),c_0_24]) ).
cnf(c_0_166,negated_conjecture,
pre_order(esk3_0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_84]),c_0_75]),c_0_85]) ).
cnf(c_0_167,plain,
( ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_24]),c_0_163]) ).
cnf(c_0_168,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_24]),c_0_130]) ).
cnf(c_0_169,negated_conjecture,
( ~ member(X1,esk1_0)
| apply(esk3_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_166]) ).
cnf(c_0_170,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_167,c_0_165]) ).
cnf(c_0_171,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_166])]) ).
cnf(c_0_172,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_169,c_0_130]) ).
cnf(c_0_173,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,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)],[c_0_170,c_0_166])]) ).
cnf(c_0_174,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_175,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_130]) ).
cnf(c_0_176,plain,
( ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_177,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_24]),c_0_175]) ).
cnf(c_0_178,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_24]) ).
cnf(c_0_179,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk2_0,X3,esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X3)
| ~ pre_order(esk3_0,X2)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_137]) ).
cnf(c_0_180,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_178]),c_0_130]),c_0_165]) ).
cnf(c_0_181,negated_conjecture,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_178]),c_0_165]),c_0_130]) ).
cnf(c_0_182,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_165]),c_0_181]) ).
cnf(c_0_183,plain,
( member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_169,c_0_165]) ).
cnf(c_0_184,plain,
( ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_185,plain,
( ~ member(esk10_2(esk1_0,esk3_0),X1)
| ~ member(esk9_2(esk1_0,esk3_0),X1)
| ~ pre_order(esk3_0,X1)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_186,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk8_2(X2,X1),X2)
| apply(X1,X3,esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_184]) ).
cnf(c_0_187,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)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_166]),c_0_165]),c_0_130]) ).
cnf(c_0_188,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_24]) ).
cnf(c_0_189,plain,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_187]),c_0_24]) ).
cnf(c_0_190,plain,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_187]),c_0_24]) ).
cnf(c_0_191,plain,
( ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_192,plain,
( ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_193,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_166])]),c_0_190]) ).
cnf(c_0_194,plain,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_187]),c_0_24]) ).
cnf(c_0_195,plain,
( ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk8_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_24]),c_0_194]),c_0_187]) ).
cnf(c_0_196,plain,
( ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_197,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_198,plain,
member(esk8_2(esk1_0,esk3_0),esk1_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_24]),c_0_187]) ).
cnf(c_0_199,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk9_2(X2,X1),X2)
| apply(X1,X3,esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_197]) ).
cnf(c_0_200,negated_conjecture,
apply(esk3_0,esk8_2(esk1_0,esk3_0),esk8_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_169,c_0_198]) ).
cnf(c_0_201,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_202,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_203,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_24]) ).
cnf(c_0_204,plain,
( member(esk13_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_201,c_0_200]),c_0_24]) ).
cnf(c_0_205,plain,
( member(esk12_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_202,c_0_200]),c_0_24]) ).
cnf(c_0_206,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_207,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_208,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_209,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_166])]),c_0_205]) ).
cnf(c_0_210,plain,
( member(esk11_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_206,c_0_200]),c_0_24]) ).
cnf(c_0_211,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_212,plain,
( ~ member(X3,X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk13_2(X2,X1),X2)
| apply(X1,X3,esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_207]) ).
cnf(c_0_213,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_214,plain,
( ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk9_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_200])]),c_0_24]),c_0_210]) ).
cnf(c_0_215,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_216,plain,
( ~ member(X3,X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk12_2(X2,X1),X2)
| apply(X1,X3,esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_211]) ).
cnf(c_0_217,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_218,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk9_2(X1,X2),esk10_2(X1,X2))
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_219,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_200]),c_0_24]) ).
cnf(c_0_220,plain,
( member(esk13_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_213,c_0_200]),c_0_24]) ).
cnf(c_0_221,plain,
member(esk9_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_214,c_0_215]),c_0_200])]),c_0_24]) ).
cnf(c_0_222,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_200]),c_0_24]) ).
cnf(c_0_223,plain,
( member(esk12_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_217,c_0_200]),c_0_24]) ).
cnf(c_0_224,plain,
( ~ member(X3,X4)
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk11_2(X2,X1),X2)
| apply(X1,X3,esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_218]) ).
cnf(c_0_225,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_226,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| member(esk13_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_166]),c_0_204]),c_0_220]) ).
cnf(c_0_227,negated_conjecture,
apply(esk3_0,esk9_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_169,c_0_221]) ).
cnf(c_0_228,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| member(esk12_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_166]),c_0_205]),c_0_223]) ).
cnf(c_0_229,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_200]),c_0_24]) ).
cnf(c_0_230,plain,
( member(esk11_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_225,c_0_200]),c_0_24]) ).
cnf(c_0_231,negated_conjecture,
( member(esk13_2(esk1_0,esk3_0),esk1_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_226,c_0_227]),c_0_221])]) ).
cnf(c_0_232,negated_conjecture,
( member(esk12_2(esk1_0,esk3_0),esk1_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_228,c_0_227]),c_0_221])]) ).
cnf(c_0_233,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk3_0))
| member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_166]),c_0_210]),c_0_230]) ).
cnf(c_0_234,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_235,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_236,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X1)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_221]) ).
cnf(c_0_237,negated_conjecture,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_231]),c_0_221])]),c_0_220]) ).
cnf(c_0_238,negated_conjecture,
( member(esk13_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_231]),c_0_221])]),c_0_220]) ).
cnf(c_0_239,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_240,negated_conjecture,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_232]),c_0_221])]),c_0_223]) ).
cnf(c_0_241,negated_conjecture,
( member(esk12_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_232]),c_0_221])]),c_0_223]) ).
cnf(c_0_242,negated_conjecture,
( member(esk11_2(esk1_0,esk3_0),esk1_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_233,c_0_227]),c_0_221])]) ).
cnf(c_0_243,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_244,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| apply(X1,X3,esk13_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_234]) ).
cnf(c_0_245,plain,
member(esk13_2(esk1_0,esk3_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_200])]),c_0_24]),c_0_220]),c_0_237]),c_0_238]) ).
cnf(c_0_246,plain,
member(esk12_2(esk1_0,esk3_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_236]),c_0_200])]),c_0_24]),c_0_223]),c_0_240]),c_0_241]) ).
cnf(c_0_247,plain,
( ~ apply(X2,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X2,esk10_2(X1,X2),esk9_2(X1,X2))
| epred1_2(X2,X1)
| member(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_248,negated_conjecture,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_242]),c_0_221])]),c_0_230]) ).
cnf(c_0_249,negated_conjecture,
( member(esk11_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_242]),c_0_221])]),c_0_230]) ).
cnf(c_0_250,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| member(esk10_2(X2,X1),X2)
| apply(X1,X3,esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_243]) ).
cnf(c_0_251,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0))
| apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_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_244,c_0_245]),c_0_166]),c_0_200]),c_0_246])]),c_0_24]) ).
cnf(c_0_252,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_253,plain,
member(esk11_2(esk1_0,esk3_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_236]),c_0_200])]),c_0_24]),c_0_230]),c_0_248]),c_0_249]) ).
cnf(c_0_254,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_200]),c_0_24]) ).
cnf(c_0_255,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_256,plain,
( apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0))
| apply(esk3_0,esk11_2(esk1_0,esk3_0),esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_200])]),c_0_24]) ).
cnf(c_0_257,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_258,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_245]),c_0_166]),c_0_246])]) ).
cnf(c_0_259,plain,
apply(esk3_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_200])]),c_0_24]) ).
cnf(c_0_260,plain,
( ~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_0))
| member(esk10_2(esk1_0,esk3_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_200]),c_0_253])]),c_0_24]) ).
cnf(c_0_261,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_262,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_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_27,c_0_259]),c_0_221])]) ).
cnf(c_0_263,plain,
member(esk10_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_260,c_0_261]),c_0_200])]),c_0_24]) ).
cnf(c_0_264,negated_conjecture,
apply(esk2_0,esk9_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_263])]) ).
cnf(c_0_265,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ 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)) ),
inference(spm,[status(thm)],[c_0_14,c_0_264]) ).
cnf(c_0_266,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_259]),c_0_221])]) ).
cnf(c_0_267,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk2_0,X3,esk9_2(esk1_0,esk3_0))
| ~ apply(esk2_0,esk9_2(esk1_0,esk3_0),X3)
| ~ pre_order(esk3_0,X2)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_236]) ).
cnf(c_0_268,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk3_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_12]),c_0_263]),c_0_221])]) ).
cnf(c_0_269,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)],[c_0_266,c_0_263])]) ).
cnf(c_0_270,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_221]) ).
cnf(c_0_271,negated_conjecture,
( ~ member(X1,X2)
| ~ member(esk10_2(esk1_0,esk3_0),X2)
| ~ member(esk9_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| apply(esk3_0,X1,esk9_2(esk1_0,esk3_0)) ),
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_267,c_0_268]),c_0_269]),c_0_263]),c_0_270]),c_0_221])]) ).
cnf(c_0_272,negated_conjecture,
apply(esk3_0,esk10_2(esk1_0,esk3_0),esk10_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_169,c_0_263]) ).
cnf(c_0_273,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk12_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_274,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk3_0),X1)
| ~ member(esk9_2(esk1_0,esk3_0),X1)
| ~ pre_order(esk3_0,X1)
| apply(esk3_0,esk10_2(esk1_0,esk3_0),esk9_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_275,plain,
( ~ member(X3,X4)
| ~ member(esk12_2(X2,X1),X4)
| ~ member(esk13_2(X2,X1),X4)
| ~ apply(X1,X3,esk12_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ pre_order(X1,X4)
| apply(X1,X3,esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_273]) ).
cnf(c_0_276,negated_conjecture,
apply(esk3_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_274,c_0_166]),c_0_221]),c_0_263])]) ).
cnf(c_0_277,plain,
( ~ member(X1,X2)
| ~ member(esk12_2(esk1_0,esk3_0),X2)
| ~ member(esk13_2(esk1_0,esk3_0),X2)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| ~ pre_order(esk3_0,X2)
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_200])]),c_0_24]) ).
cnf(c_0_278,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk11_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_279,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk12_2(esk1_0,esk3_0))
| apply(esk3_0,X1,esk13_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_245]),c_0_166]),c_0_246])]) ).
cnf(c_0_280,plain,
~ apply(esk3_0,esk11_2(esk1_0,esk3_0),esk12_2(esk1_0,esk3_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_278,c_0_279]),c_0_200]),c_0_276]),c_0_253])]),c_0_24]) ).
cnf(c_0_281,plain,
( ~ apply(X1,esk8_2(X2,X1),esk8_2(X2,X1))
| ~ apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk11_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_282,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_200]),c_0_276])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET775+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:41:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 4.30/1.08 % Version: 3.5.1
% 4.30/1.08 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.30/1.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.30/1.08 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.30/1.08 % Starting new_bool_3 with 300s (1) cores
% 4.30/1.08 % Starting new_bool_1 with 300s (1) cores
% 4.30/1.08 % Starting sh5l with 300s (1) cores
% 4.30/1.08 % new_bool_1 with pid 1673194 completed with status 0
% 4.30/1.08 % Result found by new_bool_1
% 4.30/1.08 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.30/1.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.30/1.08 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.30/1.08 % Starting new_bool_3 with 300s (1) cores
% 4.30/1.08 % Starting new_bool_1 with 300s (1) cores
% 4.30/1.08 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.30/1.08 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.30/1.08 % Search class: FGUNF-FFMF22-SFFFFFNN
% 4.30/1.08 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.30/1.08 % Starting SubtermCWHack with 31s (1) cores
% 4.30/1.08 % SubtermCWHack with pid 1673196 completed with status 0
% 4.30/1.08 % Result found by SubtermCWHack
% 4.30/1.08 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.30/1.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.30/1.08 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.30/1.08 % Starting new_bool_3 with 300s (1) cores
% 4.30/1.08 % Starting new_bool_1 with 300s (1) cores
% 4.30/1.08 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.30/1.08 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.30/1.08 % Search class: FGUNF-FFMF22-SFFFFFNN
% 4.30/1.08 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.30/1.08 % Starting SubtermCWHack with 31s (1) cores
% 4.30/1.08 % Preprocessing time : 0.002 s
% 4.30/1.08
% 4.30/1.08 % Proof found!
% 4.30/1.08 % SZS status Theorem
% 4.30/1.08 % SZS output start CNFRefutation
% See solution above
% 4.30/1.08 % Parsed axioms : 17
% 4.30/1.08 % Removed by relevancy pruning/SinE : 14
% 4.30/1.08 % Initial clauses : 72
% 4.30/1.08 % Removed in clause preprocessing : 0
% 4.30/1.08 % Initial clauses in saturation : 72
% 4.30/1.08 % Processed clauses : 3462
% 4.30/1.08 % ...of these trivial : 41
% 4.30/1.08 % ...subsumed : 2081
% 4.30/1.08 % ...remaining for further processing : 1340
% 4.30/1.08 % Other redundant clauses eliminated : 0
% 4.30/1.08 % Clauses deleted for lack of memory : 0
% 4.30/1.08 % Backward-subsumed : 632
% 4.30/1.08 % Backward-rewritten : 217
% 4.30/1.08 % Generated clauses : 9306
% 4.30/1.08 % ...of the previous two non-redundant : 6857
% 4.30/1.08 % ...aggressively subsumed : 0
% 4.30/1.08 % Contextual simplify-reflections : 441
% 4.30/1.08 % Paramodulations : 9300
% 4.30/1.08 % Factorizations : 0
% 4.30/1.08 % NegExts : 0
% 4.30/1.08 % Equation resolutions : 0
% 4.30/1.08 % Disequality decompositions : 0
% 4.30/1.08 % Total rewrite steps : 3566
% 4.30/1.08 % ...of those cached : 3540
% 4.30/1.08 % Propositional unsat checks : 0
% 4.30/1.08 % Propositional check models : 0
% 4.30/1.08 % Propositional check unsatisfiable : 0
% 4.30/1.08 % Propositional clauses : 0
% 4.30/1.08 % Propositional clauses after purity: 0
% 4.30/1.08 % Propositional unsat core size : 0
% 4.30/1.08 % Propositional preprocessing time : 0.000
% 4.30/1.08 % Propositional encoding time : 0.000
% 4.30/1.08 % Propositional solver time : 0.000
% 4.30/1.08 % Success case prop preproc time : 0.000
% 4.30/1.08 % Success case prop encoding time : 0.000
% 4.30/1.08 % Success case prop solver time : 0.000
% 4.30/1.08 % Current number of processed clauses : 485
% 4.30/1.08 % Positive orientable unit clauses : 26
% 4.30/1.08 % Positive unorientable unit clauses: 0
% 4.30/1.08 % Negative unit clauses : 4
% 4.30/1.08 % Non-unit-clauses : 455
% 4.30/1.08 % Current number of unprocessed clauses: 2140
% 4.30/1.08 % ...number of literals in the above : 24198
% 4.30/1.08 % Current number of archived formulas : 0
% 4.30/1.08 % Current number of archived clauses : 855
% 4.30/1.08 % Clause-clause subsumption calls (NU) : 343840
% 4.30/1.08 % Rec. Clause-clause subsumption calls : 18412
% 4.30/1.08 % Non-unit clause-clause subsumptions : 2870
% 4.30/1.08 % Unit Clause-clause subsumption calls : 3263
% 4.30/1.08 % Rewrite failures with RHS unbound : 0
% 4.30/1.08 % BW rewrite match attempts : 61
% 4.30/1.08 % BW rewrite match successes : 23
% 4.30/1.08 % Condensation attempts : 0
% 4.30/1.08 % Condensation successes : 0
% 4.30/1.08 % Termbank termtop insertions : 445677
% 4.30/1.08 % Search garbage collected termcells : 1029
% 4.30/1.08
% 4.30/1.08 % -------------------------------------------------
% 4.30/1.08 % User time : 0.610 s
% 4.30/1.08 % System time : 0.009 s
% 4.30/1.08 % Total time : 0.619 s
% 4.30/1.08 % Maximum resident set size: 3664 pages
% 4.30/1.08
% 4.30/1.08 % -------------------------------------------------
% 4.30/1.08 % User time : 0.614 s
% 4.30/1.08 % System time : 0.012 s
% 4.30/1.08 % Total time : 0.626 s
% 4.30/1.08 % Maximum resident set size: 4864 pages
% 4.30/1.08 % E exiting
%------------------------------------------------------------------------------