%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET773+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:18:09 PM UTC 2026
% Result : Theorem 3.72s 0.90s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(thIII09,conjecture,
! [X4,X8,X9,X7] :
( ( ! [X1,X2] :
( ( member(X2,X4)
& member(X1,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X9,X1,X2)
& apply(X8,X1,X2) ) ) )
& equivalence(X9,X4)
& equivalence(X8,X4) )
=> equivalence(X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII09) ).
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/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_2,negated_conjecture,
~ ! [X4,X8,X9,X7] :
( ( ! [X1,X2] :
( ( member(X2,X4)
& member(X1,X4) )
=> ( apply(X7,X1,X2)
<=> ( apply(X9,X1,X2)
& apply(X8,X1,X2) ) ) )
& equivalence(X9,X4)
& equivalence(X8,X4) )
=> equivalence(X7,X4) ),
inference(assume_negation,[status(cth)],[thIII09]) ).
fof(c_0_3,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_4,negated_conjecture,
! [X14,X15] :
( ~ equivalence(esk4_0,esk1_0)
& ( ~ member(X15,esk1_0)
| ~ member(X14,esk1_0)
| apply(esk4_0,X14,X15)
| ~ apply(esk3_0,X14,X15)
| ~ apply(esk2_0,X14,X15) )
& ( ~ member(X15,esk1_0)
| ~ member(X14,esk1_0)
| ~ apply(esk4_0,X14,X15)
| apply(esk3_0,X14,X15) )
& ( ~ member(X15,esk1_0)
| ~ member(X14,esk1_0)
| ~ apply(esk4_0,X14,X15)
| apply(esk2_0,X14,X15) )
& equivalence(esk3_0,esk1_0)
& equivalence(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_2])])])])])]) ).
fof(c_0_5,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk7_2(X26,X27),X26)
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| ~ apply(X27,esk5_2(X26,X27),esk5_2(X26,X27))
| member(esk6_2(X26,X27),X26)
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| ~ apply(X27,esk7_2(X26,X27),esk6_2(X26,X27))
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| apply(X27,esk6_2(X26,X27),esk7_2(X26,X27))
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk7_2(X26,X27),X26)
| member(esk8_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| ~ apply(X27,esk8_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| apply(X27,esk9_2(X26,X27),esk10_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| apply(X27,esk8_2(X26,X27),esk9_2(X26,X27)) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk10_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk9_2(X26,X27),X26) )
& ( epred1_2(X27,X26)
| member(esk5_2(X26,X27),X26)
| member(esk6_2(X26,X27),X26)
| member(esk8_2(X26,X27),X26) )
& ( ~ epred1_2(X19,X18)
| apply(X19,X23,X25)
| ~ apply(X19,X24,X25)
| ~ apply(X19,X23,X24)
| ~ member(X25,X18)
| ~ member(X24,X18)
| ~ member(X23,X18) )
& ( ~ epred1_2(X19,X18)
| apply(X19,X22,X21)
| ~ apply(X19,X21,X22)
| ~ member(X22,X18)
| ~ member(X21,X18) )
& ( ~ epred1_2(X19,X18)
| apply(X19,X20,X20)
| ~ member(X20,X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_6,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,X2)
| apply(esk2_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X16,X17] :
( ( equivalence(X17,X16)
| ~ epred1_2(X17,X16) )
& ( epred1_2(X17,X16)
| ~ equivalence(X17,X16) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( ~ epred1_2(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_5]) ).
cnf(c_0_11,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ equivalence(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( ~ epred1_2(X1,X2)
| equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,X2)
| apply(esk3_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ apply(esk2_0,X2,X4)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ epred1_2(esk2_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
~ epred1_2(esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( ~ equivalence(X1,X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_21,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,plain,
( ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ apply(esk3_0,X2,X4)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ epred1_2(esk3_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
equivalence(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_27,plain,
( ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_28,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk7_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,plain,
( ~ epred1_2(X3,X2)
| ~ member(X1,X2)
| apply(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,plain,
( ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
epred1_2(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_32,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ apply(esk2_0,X2,X4)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ epred1_2(esk2_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_34,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_35,plain,
( ~ epred1_2(X4,X2)
| ~ apply(X4,X1,X3)
| ~ member(X3,X2)
| ~ member(X1,X2)
| apply(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_36,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]) ).
cnf(c_0_37,negated_conjecture,
( ~ member(X1,esk1_0)
| apply(esk2_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_38,plain,
( ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_40,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17]) ).
cnf(c_0_41,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_43,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_17]) ).
cnf(c_0_44,negated_conjecture,
( ~ member(X1,esk1_0)
| apply(esk3_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_45,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ apply(esk2_0,X2,X4)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ epred1_2(esk2_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_39]) ).
cnf(c_0_46,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_47,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk9_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_48,plain,
( ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_23])]),c_0_17]) ).
cnf(c_0_49,negated_conjecture,
( ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_17]) ).
cnf(c_0_50,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_51,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( member(esk7_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_53,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,plain,
( ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_17]) ).
cnf(c_0_55,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk9_2(esk1_0,X1),X3)
| ~ apply(esk3_0,X2,X4)
| ~ apply(esk4_0,X4,esk9_2(esk1_0,X1))
| ~ epred1_2(esk3_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk9_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,X2)
| ~ apply(esk2_0,X1,X2)
| apply(esk4_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_57,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_8]),c_0_17]) ).
cnf(c_0_58,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_59,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ apply(esk3_0,X2,X4)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ epred1_2(esk3_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk7_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
( ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_17]) ).
cnf(c_0_61,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_53]) ).
cnf(c_0_62,plain,
( ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_23])]),c_0_17]) ).
cnf(c_0_63,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk6_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_64,plain,
( ~ member(X1,X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_46]),c_0_17]) ).
cnf(c_0_65,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_58]) ).
cnf(c_0_67,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_17]) ).
cnf(c_0_68,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_69,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ apply(esk2_0,X2,X4)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ epred1_2(esk2_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| apply(esk2_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_61]) ).
cnf(c_0_70,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_71,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_17]) ).
cnf(c_0_72,plain,
( ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_32]),c_0_31])]),c_0_17]) ).
cnf(c_0_73,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_21]),c_0_17]) ).
cnf(c_0_74,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_8]),c_0_23])]),c_0_17]) ).
cnf(c_0_75,plain,
( ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_21]),c_0_31])]),c_0_17]) ).
cnf(c_0_76,plain,
( ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_68]) ).
cnf(c_0_77,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_17]) ).
cnf(c_0_78,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_71]) ).
cnf(c_0_79,plain,
( member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_63]) ).
cnf(c_0_80,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_63]),c_0_17]) ).
cnf(c_0_81,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_8]),c_0_17]) ).
cnf(c_0_83,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_8]),c_0_31])]),c_0_17]) ).
cnf(c_0_84,plain,
( ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_53]),c_0_23])]),c_0_17]) ).
cnf(c_0_85,plain,
( ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_17]) ).
cnf(c_0_86,negated_conjecture,
( ~ member(X2,esk1_0)
| ~ apply(esk4_0,X2,esk10_2(esk1_0,X1))
| member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_53]) ).
cnf(c_0_87,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( member(esk6_2(esk1_0,X1),esk1_0)
| member(esk5_2(esk1_0,X1),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,X1),esk8_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_63]) ).
cnf(c_0_89,plain,
( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_90,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_91,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_32]),c_0_17]) ).
cnf(c_0_92,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_32]),c_0_23])]),c_0_17]) ).
cnf(c_0_93,plain,
( ~ member(X2,X3)
| ~ member(X4,X3)
| ~ member(X4,esk1_0)
| ~ member(esk10_2(esk1_0,X1),X3)
| ~ apply(esk3_0,X2,X4)
| ~ apply(esk4_0,X4,esk10_2(esk1_0,X1))
| ~ epred1_2(esk3_0,X3)
| member(esk5_2(esk1_0,X1),esk1_0)
| member(esk6_2(esk1_0,X1),esk1_0)
| apply(esk3_0,X2,esk10_2(esk1_0,X1))
| epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_17]) ).
cnf(c_0_95,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_17]) ).
cnf(c_0_96,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_91]) ).
cnf(c_0_97,plain,
( ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk2_0,X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_92]) ).
cnf(c_0_98,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_70]),c_0_17]) ).
cnf(c_0_99,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_32]),c_0_31])]),c_0_17]) ).
cnf(c_0_100,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_28]),c_0_17]) ).
cnf(c_0_101,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_53]),c_0_17]) ).
cnf(c_0_102,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_32]),c_0_23])]),c_0_17]) ).
cnf(c_0_103,plain,
( ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_53]),c_0_31])]),c_0_17]) ).
cnf(c_0_104,plain,
( ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ epred1_2(esk3_0,X1)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_100]) ).
cnf(c_0_107,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_32]),c_0_17]) ).
cnf(c_0_109,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_32]),c_0_31])]),c_0_17]) ).
cnf(c_0_110,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_105]) ).
cnf(c_0_111,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_106]) ).
cnf(c_0_112,plain,
( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_113,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_114,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_100]),c_0_23])]) ).
cnf(c_0_115,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_100]),c_0_31])]) ).
cnf(c_0_116,plain,
( ~ member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_17]) ).
cnf(c_0_117,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_114]),c_0_100]),c_0_115]) ).
cnf(c_0_118,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_119,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_63]),c_0_17]) ).
cnf(c_0_120,plain,
( ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_121,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk9_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_17]),c_0_119]) ).
cnf(c_0_122,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_17]) ).
cnf(c_0_123,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_124,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_122]) ).
cnf(c_0_126,plain,
( epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_127,plain,
( ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_128,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk8_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_123]),c_0_17]),c_0_119]) ).
cnf(c_0_129,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_124]) ).
cnf(c_0_130,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_125]) ).
cnf(c_0_131,plain,
( ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk5_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_132,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| member(esk10_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_126]),c_0_17]),c_0_119]) ).
cnf(c_0_133,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_17]) ).
cnf(c_0_134,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_122]),c_0_23])]) ).
cnf(c_0_135,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_122]),c_0_31])]) ).
cnf(c_0_136,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk5_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_17]) ).
cnf(c_0_137,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_134]),c_0_122]),c_0_135]) ).
cnf(c_0_139,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_140,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_136]) ).
cnf(c_0_142,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_137]) ).
cnf(c_0_143,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_17]),c_0_133]) ).
cnf(c_0_144,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_140]) ).
cnf(c_0_145,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_141]) ).
cnf(c_0_146,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_133]) ).
cnf(c_0_147,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_122]) ).
cnf(c_0_148,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_136]),c_0_23])]) ).
cnf(c_0_149,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_136]),c_0_31])]) ).
cnf(c_0_150,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_124]) ).
cnf(c_0_152,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_148]),c_0_136]),c_0_149]) ).
cnf(c_0_153,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_154,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_143]),c_0_122]) ).
cnf(c_0_155,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_122]),c_0_23])]),c_0_133]) ).
cnf(c_0_156,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_17]),c_0_122]) ).
cnf(c_0_157,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_154,c_0_125]) ).
cnf(c_0_158,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_137]) ).
cnf(c_0_159,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_146]) ).
cnf(c_0_160,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_136]) ).
cnf(c_0_161,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_122]),c_0_31])]),c_0_133]) ).
cnf(c_0_162,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_133]),c_0_23])]) ).
cnf(c_0_163,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_133]),c_0_31])]) ).
cnf(c_0_164,negated_conjecture,
( ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_160]),c_0_136]),c_0_133]) ).
cnf(c_0_165,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_156]),c_0_136]) ).
cnf(c_0_166,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_162]),c_0_133]),c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,plain,
( ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_169,plain,
( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_170,negated_conjecture,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_136]) ).
cnf(c_0_171,plain,
( ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_168]),c_0_17]),c_0_133]) ).
cnf(c_0_172,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_17]) ).
cnf(c_0_173,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_171]),c_0_122]) ).
cnf(c_0_174,negated_conjecture,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_172]),c_0_119]) ).
cnf(c_0_175,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_171]),c_0_122]) ).
cnf(c_0_176,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_177,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_175,c_0_174]) ).
cnf(c_0_178,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_176,c_0_124]) ).
cnf(c_0_179,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_177,c_0_125]) ).
cnf(c_0_180,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_122]),c_0_23])]),c_0_133]) ).
cnf(c_0_181,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_122]),c_0_31])]),c_0_133]) ).
cnf(c_0_182,plain,
( ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_183,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_180]),c_0_133]),c_0_181]) ).
cnf(c_0_184,plain,
( ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_182]),c_0_17]),c_0_122]) ).
cnf(c_0_185,plain,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_136]),c_0_174]) ).
cnf(c_0_186,plain,
( ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_187,negated_conjecture,
( member(esk5_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_185]),c_0_136]) ).
cnf(c_0_188,plain,
member(esk5_2(esk1_0,esk4_0),esk1_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_17]),c_0_174]) ).
cnf(c_0_189,negated_conjecture,
apply(esk2_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_37,c_0_188]) ).
cnf(c_0_190,negated_conjecture,
apply(esk3_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_44,c_0_188]) ).
cnf(c_0_191,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk7_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_192,negated_conjecture,
apply(esk4_0,esk5_2(esk1_0,esk4_0),esk5_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_189]),c_0_190]),c_0_188])]) ).
cnf(c_0_193,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_17]) ).
cnf(c_0_194,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_193]) ).
cnf(c_0_195,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_193]) ).
cnf(c_0_196,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk7_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_197,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_194]) ).
cnf(c_0_198,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_195]) ).
cnf(c_0_199,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_192]),c_0_17]) ).
cnf(c_0_200,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_193]),c_0_23])]) ).
cnf(c_0_201,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_193]),c_0_31])]) ).
cnf(c_0_202,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_199]) ).
cnf(c_0_203,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_200]),c_0_193]),c_0_201]) ).
cnf(c_0_204,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_205,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk7_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_206,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk6_2(X1,X2),X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_207,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_202]) ).
cnf(c_0_208,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_192])]),c_0_17]),c_0_199]) ).
cnf(c_0_209,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_199]) ).
cnf(c_0_210,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk7_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_192]),c_0_17]) ).
cnf(c_0_211,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_192]),c_0_17]) ).
cnf(c_0_212,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_193]) ).
cnf(c_0_213,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_209]) ).
cnf(c_0_214,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_210]) ).
cnf(c_0_215,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_210]) ).
cnf(c_0_216,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_211]) ).
cnf(c_0_217,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_211]) ).
cnf(c_0_218,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_212,c_0_194]) ).
cnf(c_0_219,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_208]),c_0_193]) ).
cnf(c_0_220,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_214]) ).
cnf(c_0_221,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_215]) ).
cnf(c_0_222,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk6_2(X1,X2),X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_223,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_216]) ).
cnf(c_0_224,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_217]) ).
cnf(c_0_225,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_193]),c_0_23])]),c_0_199]) ).
cnf(c_0_226,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_219,c_0_195]) ).
cnf(c_0_227,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_210]),c_0_23])]) ).
cnf(c_0_228,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_210]),c_0_31])]) ).
cnf(c_0_229,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_192]),c_0_17]) ).
cnf(c_0_230,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_211]),c_0_23])]) ).
cnf(c_0_231,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_211]),c_0_31])]) ).
cnf(c_0_232,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_202]) ).
cnf(c_0_233,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_209]) ).
cnf(c_0_234,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_225]),c_0_199]) ).
cnf(c_0_235,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_193]),c_0_31])]),c_0_199]) ).
cnf(c_0_236,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_227]),c_0_210]),c_0_228]) ).
cnf(c_0_237,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_238,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_229]) ).
cnf(c_0_239,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_230]),c_0_211]),c_0_231]) ).
cnf(c_0_240,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_241,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| member(esk6_2(X1,X2),X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_242,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_199]),c_0_23])]) ).
cnf(c_0_243,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_199]),c_0_31])]) ).
cnf(c_0_244,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_245,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_192])]),c_0_17]),c_0_193]) ).
cnf(c_0_246,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_238]) ).
cnf(c_0_247,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
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_240]),c_0_192])]),c_0_17]),c_0_229]) ).
cnf(c_0_248,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_229]) ).
cnf(c_0_249,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| member(esk6_2(esk1_0,esk4_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_192]),c_0_17]) ).
cnf(c_0_250,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_242]),c_0_199]),c_0_243]) ).
cnf(c_0_251,plain,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_210]) ).
cnf(c_0_252,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_211]) ).
cnf(c_0_253,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_248]) ).
cnf(c_0_254,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_249]) ).
cnf(c_0_255,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_249]) ).
cnf(c_0_256,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_257,negated_conjecture,
( member(esk7_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_210]) ).
cnf(c_0_258,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_252,c_0_216]) ).
cnf(c_0_259,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_247]),c_0_211]) ).
cnf(c_0_260,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_254]) ).
cnf(c_0_261,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_255]) ).
cnf(c_0_262,plain,
member(esk7_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_192])]),c_0_17]) ).
cnf(c_0_263,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_211]),c_0_23])]),c_0_229]) ).
cnf(c_0_264,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_259,c_0_217]) ).
cnf(c_0_265,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_249]),c_0_23])]) ).
cnf(c_0_266,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_249]),c_0_31])]) ).
cnf(c_0_267,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_262]) ).
cnf(c_0_268,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_238]) ).
cnf(c_0_269,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_248]) ).
cnf(c_0_270,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_263]),c_0_229]) ).
cnf(c_0_271,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_211]),c_0_31])]),c_0_229]) ).
cnf(c_0_272,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_265]),c_0_249]),c_0_266]) ).
cnf(c_0_273,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_274,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_267]) ).
cnf(c_0_275,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk7_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_262]) ).
cnf(c_0_276,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_229]),c_0_23])]) ).
cnf(c_0_277,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_229]),c_0_31])]) ).
cnf(c_0_278,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_279,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_192])]),c_0_17]),c_0_211]) ).
cnf(c_0_280,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_262]),c_0_23])]) ).
cnf(c_0_281,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk7_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_275]) ).
cnf(c_0_282,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_276]),c_0_229]),c_0_277]) ).
cnf(c_0_283,plain,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_249]) ).
cnf(c_0_284,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk7_2(esk1_0,esk4_0),X1)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_280]),c_0_262])]) ).
cnf(c_0_285,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_262]),c_0_31])]) ).
cnf(c_0_286,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_287,negated_conjecture,
( member(esk6_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_249]) ).
cnf(c_0_288,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk7_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_289,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_290,plain,
member(esk6_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_192])]),c_0_17]) ).
cnf(c_0_291,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_292,plain,
( member(esk10_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]),c_0_192])]),c_0_17]) ).
cnf(c_0_293,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_294,plain,
member(esk10_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_192])]),c_0_17]) ).
cnf(c_0_295,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_296,plain,
( member(esk9_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_293]),c_0_290]),c_0_192])]),c_0_17]) ).
cnf(c_0_297,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_294]) ).
cnf(c_0_298,plain,
member(esk9_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_192])]),c_0_17]) ).
cnf(c_0_299,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_297]) ).
cnf(c_0_300,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_294]) ).
cnf(c_0_301,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_298]) ).
cnf(c_0_302,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_294]),c_0_23])]) ).
cnf(c_0_303,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_300]) ).
cnf(c_0_304,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_305,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_301]) ).
cnf(c_0_306,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_298]) ).
cnf(c_0_307,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),X1)
| apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_302]),c_0_294])]) ).
cnf(c_0_308,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_294]),c_0_31])]) ).
cnf(c_0_309,plain,
( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
| ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
| epred1_2(X2,X1)
| member(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_310,plain,
( member(esk8_2(esk1_0,esk4_0),esk1_0)
| apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_304]),c_0_290]),c_0_192])]),c_0_17]) ).
cnf(c_0_311,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk2_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_298]),c_0_23])]) ).
cnf(c_0_312,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_306]) ).
cnf(c_0_313,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_314,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_315,plain,
member(esk8_2(esk1_0,esk4_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_192])]),c_0_17]) ).
cnf(c_0_316,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk9_2(esk1_0,esk4_0),X1)
| apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_311]),c_0_298])]) ).
cnf(c_0_317,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk3_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_298]),c_0_31])]) ).
cnf(c_0_318,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_301]) ).
cnf(c_0_319,plain,
( apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_298]),c_0_192])]),c_0_17]) ).
cnf(c_0_320,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_315]) ).
cnf(c_0_321,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk9_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_322,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_323,plain,
( ~ member(X1,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_294])]) ).
cnf(c_0_324,negated_conjecture,
apply(esk2_0,esk10_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_37,c_0_294]) ).
cnf(c_0_325,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk4_0,X3,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_306]) ).
cnf(c_0_326,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_320]) ).
cnf(c_0_327,plain,
( apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_315]),c_0_192])]),c_0_17]) ).
cnf(c_0_328,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X1)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_329,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_315]) ).
cnf(c_0_330,plain,
( ~ member(X1,X2)
| ~ member(esk10_2(esk1_0,esk4_0),X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk10_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_319]),c_0_294])]) ).
cnf(c_0_331,negated_conjecture,
apply(esk3_0,esk10_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_44,c_0_294]) ).
cnf(c_0_332,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_298])]) ).
cnf(c_0_333,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_294]),c_0_23]),c_0_298])]) ).
cnf(c_0_334,plain,
( ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X3,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk4_0,X3,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_329]) ).
cnf(c_0_335,negated_conjecture,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X1)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_336,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_320]) ).
cnf(c_0_337,plain,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X1)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_338,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_327]),c_0_298])]) ).
cnf(c_0_339,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_294]),c_0_31]),c_0_298])]) ).
cnf(c_0_340,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk2_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_315]),c_0_23])]) ).
cnf(c_0_341,plain,
( ~ member(X1,X2)
| ~ member(X1,esk1_0)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_329]) ).
cnf(c_0_342,plain,
( apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_294]),c_0_23]),c_0_315]),c_0_298])]) ).
cnf(c_0_343,plain,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X1)
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_344,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),X1)
| apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_340]),c_0_315])]) ).
cnf(c_0_345,plain,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk3_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_315]),c_0_31])]) ).
cnf(c_0_346,negated_conjecture,
( ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_342]),c_0_315]),c_0_294])]) ).
cnf(c_0_347,plain,
( apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_294]),c_0_31]),c_0_315]),c_0_298])]) ).
cnf(c_0_348,negated_conjecture,
( ~ member(X1,esk1_0)
| ~ apply(esk4_0,X1,esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_349,negated_conjecture,
( apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_350,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_351,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_352,negated_conjecture,
( apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_294])]) ).
cnf(c_0_353,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_354,plain,
( ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_350]),c_0_315]),c_0_192])]),c_0_17]) ).
cnf(c_0_355,plain,
apply(esk4_0,esk6_2(esk1_0,esk4_0),esk7_2(esk1_0,esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_192])]),c_0_17]) ).
cnf(c_0_356,plain,
( ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk9_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_353]),c_0_298]),c_0_192])]),c_0_17]) ).
cnf(c_0_357,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_354]),c_0_298])]) ).
cnf(c_0_358,negated_conjecture,
apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_355]),c_0_290])]) ).
cnf(c_0_359,negated_conjecture,
( ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_356]),c_0_294])]) ).
cnf(c_0_360,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk2_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk2_0,X2)
| apply(esk2_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_358])]) ).
cnf(c_0_361,negated_conjecture,
apply(esk4_0,esk9_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_358])]) ).
cnf(c_0_362,plain,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X1)
| apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_302]),c_0_361]),c_0_298])]) ).
cnf(c_0_363,plain,
apply(esk2_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_294]),c_0_23]),c_0_315]),c_0_298])]) ).
cnf(c_0_364,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ apply(esk4_0,esk7_2(esk1_0,esk4_0),esk6_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_354]),c_0_298])]) ).
cnf(c_0_365,plain,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk2_0,X1)
| apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_363]) ).
cnf(c_0_366,plain,
( ~ member(X1,X2)
| ~ member(esk9_2(esk1_0,esk4_0),X2)
| ~ member(esk8_2(esk1_0,esk4_0),X2)
| ~ apply(esk3_0,X1,esk9_2(esk1_0,esk4_0))
| ~ epred1_2(esk3_0,X2)
| apply(esk3_0,X1,esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_358])]) ).
cnf(c_0_367,plain,
apply(esk2_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_294]),c_0_23]),c_0_315])]) ).
cnf(c_0_368,plain,
( ~ member(esk10_2(esk1_0,esk4_0),X1)
| ~ member(esk9_2(esk1_0,esk4_0),X1)
| ~ member(esk8_2(esk1_0,esk4_0),X1)
| ~ epred1_2(esk3_0,X1)
| apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_308]),c_0_361]),c_0_298])]) ).
cnf(c_0_369,negated_conjecture,
( ~ apply(esk3_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_367]),c_0_294]),c_0_315])]) ).
cnf(c_0_370,negated_conjecture,
( ~ apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_363]),c_0_315]),c_0_294])]) ).
cnf(c_0_371,plain,
apply(esk3_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_294]),c_0_31]),c_0_315]),c_0_298])]) ).
cnf(c_0_372,plain,
( ~ apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0))
| apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_345]),c_0_294])]) ).
cnf(c_0_373,negated_conjecture,
apply(esk4_0,esk10_2(esk1_0,esk4_0),esk8_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_371])]) ).
cnf(c_0_374,plain,
( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_375,plain,
apply(esk4_0,esk8_2(esk1_0,esk4_0),esk10_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373])]) ).
cnf(c_0_376,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_192]),c_0_358])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET773+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 05:38:03 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.72/0.90 % Version: 3.5.1
% 3.72/0.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.72/0.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/0.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.72/0.90 % Starting new_bool_3 with 300s (1) cores
% 3.72/0.90 % Starting new_bool_1 with 300s (1) cores
% 3.72/0.90 % Starting sh5l with 300s (1) cores
% 3.72/0.90 % new_bool_1 with pid 2111007 completed with status 0
% 3.72/0.90 % Result found by new_bool_1
% 3.72/0.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.72/0.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/0.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.72/0.90 % Starting new_bool_3 with 300s (1) cores
% 3.72/0.90 % Starting new_bool_1 with 300s (1) cores
% 3.72/0.90 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.72/0.90 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.72/0.90 % Search class: FGUNF-FFMF22-SFFFFFNN
% 3.72/0.90 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.72/0.90 % Starting SubtermCWHack with 31s (1) cores
% 3.72/0.90 % SubtermCWHack with pid 2111009 completed with status 0
% 3.72/0.90 % Result found by SubtermCWHack
% 3.72/0.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.72/0.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.72/0.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.72/0.90 % Starting new_bool_3 with 300s (1) cores
% 3.72/0.90 % Starting new_bool_1 with 300s (1) cores
% 3.72/0.90 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.72/0.90 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.72/0.90 % Search class: FGUNF-FFMF22-SFFFFFNN
% 3.72/0.90 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.72/0.90 % Starting SubtermCWHack with 31s (1) cores
% 3.72/0.90 % Preprocessing time : 0.002 s
% 3.72/0.90
% 3.72/0.90 % Proof found!
% 3.72/0.90 % SZS status Theorem
% 3.72/0.90 % SZS output start CNFRefutation
% See solution above
% 3.72/0.90 % Parsed axioms : 17
% 3.72/0.90 % Removed by relevancy pruning/SinE : 15
% 3.72/0.90 % Initial clauses : 59
% 3.72/0.90 % Removed in clause preprocessing : 0
% 3.72/0.90 % Initial clauses in saturation : 59
% 3.72/0.90 % Processed clauses : 2661
% 3.72/0.90 % ...of these trivial : 33
% 3.72/0.90 % ...subsumed : 1422
% 3.72/0.90 % ...remaining for further processing : 1206
% 3.72/0.90 % Other redundant clauses eliminated : 0
% 3.72/0.90 % Clauses deleted for lack of memory : 0
% 3.72/0.90 % Backward-subsumed : 453
% 3.72/0.90 % Backward-rewritten : 336
% 3.72/0.90 % Generated clauses : 8481
% 3.72/0.90 % ...of the previous two non-redundant : 5748
% 3.72/0.90 % ...aggressively subsumed : 0
% 3.72/0.90 % Contextual simplify-reflections : 302
% 3.72/0.90 % Paramodulations : 8481
% 3.72/0.90 % Factorizations : 0
% 3.72/0.90 % NegExts : 0
% 3.72/0.90 % Equation resolutions : 0
% 3.72/0.90 % Disequality decompositions : 0
% 3.72/0.90 % Total rewrite steps : 5639
% 3.72/0.90 % ...of those cached : 5592
% 3.72/0.90 % Propositional unsat checks : 0
% 3.72/0.90 % Propositional check models : 0
% 3.72/0.90 % Propositional check unsatisfiable : 0
% 3.72/0.90 % Propositional clauses : 0
% 3.72/0.90 % Propositional clauses after purity: 0
% 3.72/0.90 % Propositional unsat core size : 0
% 3.72/0.90 % Propositional preprocessing time : 0.000
% 3.72/0.90 % Propositional encoding time : 0.000
% 3.72/0.90 % Propositional solver time : 0.000
% 3.72/0.90 % Success case prop preproc time : 0.000
% 3.72/0.90 % Success case prop encoding time : 0.000
% 3.72/0.90 % Success case prop solver time : 0.000
% 3.72/0.90 % Current number of processed clauses : 417
% 3.72/0.90 % Positive orientable unit clauses : 49
% 3.72/0.90 % Positive unorientable unit clauses: 0
% 3.72/0.90 % Negative unit clauses : 2
% 3.72/0.90 % Non-unit-clauses : 366
% 3.72/0.90 % Current number of unprocessed clauses: 1676
% 3.72/0.90 % ...number of literals in the above : 16089
% 3.72/0.90 % Current number of archived formulas : 0
% 3.72/0.90 % Current number of archived clauses : 789
% 3.72/0.90 % Clause-clause subsumption calls (NU) : 158320
% 3.72/0.90 % Rec. Clause-clause subsumption calls : 17922
% 3.72/0.90 % Non-unit clause-clause subsumptions : 2143
% 3.72/0.90 % Unit Clause-clause subsumption calls : 1608
% 3.72/0.90 % Rewrite failures with RHS unbound : 0
% 3.72/0.90 % BW rewrite match attempts : 77
% 3.72/0.90 % BW rewrite match successes : 23
% 3.72/0.90 % Condensation attempts : 0
% 3.72/0.90 % Condensation successes : 0
% 3.72/0.90 % Termbank termtop insertions : 373526
% 3.72/0.90 % Search garbage collected termcells : 825
% 3.72/0.90
% 3.72/0.90 % -------------------------------------------------
% 3.72/0.90 % User time : 0.439 s
% 3.72/0.90 % System time : 0.009 s
% 3.72/0.90 % Total time : 0.448 s
% 3.72/0.90 % Maximum resident set size: 3664 pages
% 3.72/0.90
% 3.72/0.90 % -------------------------------------------------
% 3.72/0.90 % User time : 0.442 s
% 3.72/0.90 % System time : 0.011 s
% 3.72/0.90 % Total time : 0.453 s
% 3.72/0.90 % Maximum resident set size: 4608 pages
% 3.72/0.90 % E exiting
%------------------------------------------------------------------------------