%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET772+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:15:11 PM UTC 2026
% Result : Theorem 171.63s 25.88s
% Output : CNFRefutation 171.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of formulae : 211 ( 13 unt; 0 def)
% Number of atoms : 1277 ( 15 equ)
% Maximal formula atoms : 207 ( 6 avg)
% Number of connectives : 1641 ( 575 ~; 934 |; 104 &)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 394 ( 1 sgn 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII08,conjecture,
! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X5,X4)
& member(X3,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X5,X6)
& member(X3,X6)
& member(X6,X1) ) ) )
=> equivalence(X7,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII08) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3,X5] :
( ( member(X5,X1)
& member(X3,X1) )
=> ( ? [X6] :
( member(X6,X5)
& member(X6,X3) )
=> X3 = X5 ) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X3,X5)
& member(X5,X1) ) )
& ! [X3] :
( member(X3,X1)
=> subset(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',partition) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X1)
& member(X5,X1)
& member(X3,X1) )
=> ( ( apply(X7,X5,X6)
& apply(X7,X3,X5) )
=> apply(X7,X3,X6) ) )
& ! [X3,X5] :
( ( member(X5,X1)
& member(X3,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X5,X4)
& member(X3,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X5,X6)
& member(X3,X6)
& member(X6,X1) ) ) )
=> equivalence(X7,X4) ) ),
inference(assume_negation,[status(cth)],[thIII08]) ).
fof(c_0_5,plain,
! [X17,X18,X19,X20,X22,X23,X24,X25,X26,X29] :
( ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| esk8_2(X25,X26) != esk9_2(X25,X26) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk10_2(X25,X26),esk9_2(X25,X26)) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk10_2(X25,X26),esk8_2(X25,X26)) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk9_2(X25,X26),X25) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk8_2(X25,X26),X25) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| member(esk7_2(X25,X26),X26)
| esk8_2(X25,X26) != esk9_2(X25,X26) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| member(esk7_2(X25,X26),X26)
| member(esk10_2(X25,X26),esk9_2(X25,X26)) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| member(esk7_2(X25,X26),X26)
| member(esk10_2(X25,X26),esk8_2(X25,X26)) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| member(esk7_2(X25,X26),X26)
| member(esk9_2(X25,X26),X25) )
& ( partition(X25,X26)
| ~ subset(esk6_2(X25,X26),X26)
| member(esk7_2(X25,X26),X26)
| member(esk8_2(X25,X26),X25) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| esk8_2(X25,X26) != esk9_2(X25,X26) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk10_2(X25,X26),esk9_2(X25,X26)) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk10_2(X25,X26),esk8_2(X25,X26)) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk9_2(X25,X26),X25) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ member(X29,X25)
| member(esk8_2(X25,X26),X25) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| esk8_2(X25,X26) != esk9_2(X25,X26) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk10_2(X25,X26),esk9_2(X25,X26)) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk10_2(X25,X26),esk8_2(X25,X26)) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk9_2(X25,X26),X25) )
& ( partition(X25,X26)
| member(esk6_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk8_2(X25,X26),X25) )
& ( ~ partition(X17,X18)
| X22 = X23
| ~ member(X24,X23)
| ~ member(X24,X22)
| ~ member(X23,X17)
| ~ member(X22,X17) )
& ( ~ partition(X17,X18)
| ~ member(X20,X18)
| member(X20,esk5_3(X17,X18,X20)) )
& ( ~ partition(X17,X18)
| ~ member(X20,X18)
| member(esk5_3(X17,X18,X20),X17) )
& ( ~ partition(X17,X18)
| subset(X19,X18)
| ~ member(X19,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X11,X12,X14] :
( ~ equivalence(esk3_0,esk2_0)
& ( ~ member(X12,esk2_0)
| ~ member(X11,esk2_0)
| apply(esk3_0,X11,X12)
| ~ member(X12,X14)
| ~ member(X11,X14)
| ~ member(X14,esk1_0) )
& ( ~ member(X12,esk2_0)
| ~ member(X11,esk2_0)
| ~ apply(esk3_0,X11,X12)
| member(X12,esk4_2(X11,X12)) )
& ( ~ member(X12,esk2_0)
| ~ member(X11,esk2_0)
| ~ apply(esk3_0,X11,X12)
| member(X11,esk4_2(X11,X12)) )
& ( ~ member(X12,esk2_0)
| ~ member(X11,esk2_0)
| ~ apply(esk3_0,X11,X12)
| member(esk4_2(X11,X12),esk1_0) )
& partition(esk1_0,esk2_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_4])])])])])]) ).
cnf(c_0_7,plain,
( ~ partition(X2,X5)
| ~ member(X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X2)
| ~ member(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
partition(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X33,X34,X35,X36,X37] :
( ( subset(X36,X37)
| ~ member(esk11_2(X36,X37),X37) )
& ( subset(X36,X37)
| member(esk11_2(X36,X37),X36) )
& ( member(X35,X34)
| ~ member(X35,X33)
| ~ subset(X33,X34) ) ),
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)],[subset])])])])])])]) ).
cnf(c_0_10,plain,
( ~ partition(X2,X3)
| ~ member(X1,X2)
| subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( ~ member(X3,X1)
| ~ member(X3,X2)
| ~ member(X1,esk1_0)
| ~ member(X2,esk1_0)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,X2)
| member(esk4_2(X1,X2),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( ~ member(X3,X1)
| ~ subset(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ member(X1,esk1_0)
| subset(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(X4,X1)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk1_0)
| ~ member(X4,esk4_2(X2,X3))
| ~ apply(esk3_0,X2,X3)
| X1 = esk4_2(X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ apply(esk3_0,X2,X1)
| member(X1,esk4_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ member(X1,X2)
| ~ member(X2,esk1_0)
| member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(X3,X1)
| ~ member(X2,esk2_0)
| ~ member(X1,esk1_0)
| ~ apply(esk3_0,X2,X3)
| X1 = esk4_2(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
( ~ partition(X1,X2)
| ~ member(X3,X2)
| member(esk5_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X3,esk2_0)
| ~ member(X4,esk5_3(esk1_0,X1,X2))
| ~ partition(esk1_0,X1)
| ~ apply(esk3_0,X3,X4)
| esk5_3(esk1_0,X1,X2) = esk4_2(X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( ~ partition(X2,X3)
| ~ member(X1,X3)
| member(X1,esk5_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X1,esk5_3(esk1_0,X2,X3))
| ~ partition(esk1_0,X2)
| member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X3,X1)
| ~ member(X2,X1)
| ~ member(X1,esk1_0)
| apply(esk3_0,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,X2)
| member(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X3,esk2_0)
| ~ partition(esk1_0,X1)
| ~ apply(esk3_0,X3,X2)
| esk5_3(esk1_0,X1,X2) = esk4_2(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(X1,X2)
| ~ partition(esk1_0,X2)
| member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(X1,X3)
| ~ member(X2,X3)
| ~ member(X3,esk1_0)
| apply(esk3_0,X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_23,c_0_17]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,X1,X3)
| member(X1,esk5_3(esk1_0,X2,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( ~ member(X3,esk2_0)
| ~ member(X4,esk2_0)
| ~ member(X1,esk4_2(X3,X4))
| ~ member(X2,esk4_2(X3,X4))
| ~ apply(esk3_0,X3,X4)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_30,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X4)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X1,X3)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
fof(c_0_31,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) ).
cnf(c_0_32,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X2,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X1,X3)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_8]) ).
fof(c_0_34,plain,
! [X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk15_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| apply(X48,esk16_2(X47,X48),esk17_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| apply(X48,esk15_2(X47,X48),esk16_2(X47,X48)) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk17_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk16_2(X47,X48),X47) )
& ( epred1_2(X48,X47)
| member(esk12_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk15_2(X47,X48),X47) )
& ( ~ epred1_2(X40,X39)
| apply(X40,X44,X46)
| ~ apply(X40,X45,X46)
| ~ apply(X40,X44,X45)
| ~ member(X46,X39)
| ~ member(X45,X39)
| ~ member(X44,X39) )
& ( ~ epred1_2(X40,X39)
| apply(X40,X43,X42)
| ~ apply(X40,X42,X43)
| ~ member(X43,X39)
| ~ member(X42,X39) )
& ( ~ epred1_2(X40,X39)
| apply(X40,X41,X41)
| ~ member(X41,X39) ) ),
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_31])])])])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk3_0,X2,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X2,X1)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_38,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_31]) ).
cnf(c_0_40,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( ~ member(X2,esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X15,X16] :
( ( equivalence(X16,X15)
| ~ epred1_2(X16,X15) )
& ( epred1_2(X16,X15)
| ~ equivalence(X16,X15) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_45,plain,
( ~ member(X2,esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_46,plain,
( ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X3,esk2_0)
| ~ member(X1,esk1_0)
| ~ apply(esk3_0,X2,X3)
| X1 = esk4_2(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_17]) ).
cnf(c_0_48,plain,
( ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,negated_conjecture,
~ equivalence(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_51,plain,
( ~ epred1_2(X1,X2)
| equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X4,esk2_0)
| ~ member(X3,esk5_3(esk1_0,X1,X2))
| ~ partition(esk1_0,X1)
| ~ apply(esk3_0,X3,X4)
| esk5_3(esk1_0,X1,X2) = esk4_2(X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_55,negated_conjecture,
( ~ member(X4,X3)
| ~ member(X1,esk5_3(esk1_0,X3,X4))
| ~ member(X2,esk5_3(esk1_0,X3,X4))
| ~ partition(esk1_0,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_56,negated_conjecture,
( ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_49]) ).
cnf(c_0_57,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_58,negated_conjecture,
~ epred1_2(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_52]),c_0_53]) ).
cnf(c_0_60,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_61,negated_conjecture,
( ~ member(X2,X1)
| ~ member(X3,esk2_0)
| ~ partition(esk1_0,X1)
| ~ apply(esk3_0,X2,X3)
| esk5_3(esk1_0,X1,X2) = esk4_2(X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_62,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X2,esk2_0)
| ~ member(X1,esk5_3(esk1_0,X4,X3))
| ~ partition(esk1_0,X4)
| ~ apply(esk3_0,X2,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_28]) ).
cnf(c_0_63,plain,
( ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_64,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_65,plain,
( ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_58]) ).
cnf(c_0_66,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_67,negated_conjecture,
( ~ member(X2,X3)
| ~ member(X1,esk5_3(esk1_0,X3,X2))
| ~ partition(esk1_0,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,X3,X1)
| member(X1,esk5_3(esk1_0,X2,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_61]),c_0_26]) ).
cnf(c_0_69,negated_conjecture,
( ~ member(X1,X3)
| ~ member(X2,esk2_0)
| ~ partition(esk1_0,X3)
| ~ apply(esk3_0,X2,X1)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_21]) ).
cnf(c_0_70,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_71,plain,
( ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_72,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_58]) ).
cnf(c_0_73,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_74,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0)
| member(esk12_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_58]) ).
cnf(c_0_75,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_76,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_77,plain,
( ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_78,negated_conjecture,
( ~ member(X2,X4)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X4)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X1,X2)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_61]) ).
cnf(c_0_79,negated_conjecture,
( ~ member(X2,X3)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X3)
| ~ apply(esk3_0,X2,X1)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_81,plain,
( ~ member(esk14_2(X1,esk3_0),X2)
| ~ member(esk13_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk15_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_82,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_58]) ).
cnf(c_0_83,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_58]) ).
cnf(c_0_84,plain,
( ~ member(esk14_2(X1,esk3_0),X2)
| ~ member(esk13_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk16_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_76]),c_0_77]) ).
cnf(c_0_85,plain,
( epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_86,plain,
( ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk12_2(X1,X2),X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_87,negated_conjecture,
( ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk4_2(X3,X2))
| ~ apply(esk3_0,X3,X2)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_88,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X1,X2)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_78,c_0_8]) ).
cnf(c_0_89,plain,
( ~ member(esk15_2(X1,esk3_0),X2)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_8])]),c_0_58]),c_0_83]) ).
cnf(c_0_91,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_82]),c_0_8])]),c_0_58]),c_0_83]) ).
cnf(c_0_92,plain,
( epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_93,plain,
( ~ member(esk14_2(X1,esk3_0),X2)
| ~ member(esk13_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk17_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_85]),c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk3_0,X3,X2)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_8])]),c_0_58]),c_0_91]) ).
cnf(c_0_96,plain,
( ~ member(esk16_2(X1,esk3_0),X2)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_92]) ).
cnf(c_0_97,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_82]),c_0_8])]),c_0_58]),c_0_83]) ).
cnf(c_0_98,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,X1,esk15_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_91]),c_0_90]) ).
cnf(c_0_99,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_91]),c_0_8])]),c_0_58]),c_0_97]) ).
cnf(c_0_100,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_97]) ).
cnf(c_0_101,plain,
( ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_102,negated_conjecture,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_100]),c_0_97]),c_0_90]) ).
cnf(c_0_103,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_104,negated_conjecture,
( ~ member(X1,X2)
| ~ partition(esk1_0,X2)
| apply(esk3_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ partition(esk1_0,X4)
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk3_0,X2,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_28]) ).
cnf(c_0_106,plain,
( ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_107,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_58]) ).
cnf(c_0_108,negated_conjecture,
( ~ member(X3,X4)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ partition(esk1_0,X4)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X3,X1)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_68,c_0_25]) ).
cnf(c_0_109,plain,
( ~ member(X2,esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( ~ member(X1,esk2_0)
| apply(esk3_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_8]) ).
cnf(c_0_111,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_112,plain,
( ~ member(X2,esk2_0)
| ~ member(esk17_2(X1,esk3_0),X3)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X3)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_107]),c_0_83]),c_0_82]) ).
cnf(c_0_114,negated_conjecture,
( ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X3,X1)
| member(X1,esk4_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_108,c_0_8]) ).
cnf(c_0_115,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
( ~ member(X2,esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(esk17_2(esk2_0,esk3_0),X2)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,X1,esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,X1,esk16_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_58]),c_0_91]) ).
cnf(c_0_118,plain,
( ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_119,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_120,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ apply(esk3_0,X3,X1)
| ~ apply(esk3_0,X2,X3)
| apply(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_122,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_110]) ).
cnf(c_0_123,negated_conjecture,
( ~ member(esk17_2(esk2_0,esk3_0),X1)
| ~ partition(esk1_0,X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_110]),c_0_26]) ).
cnf(c_0_124,plain,
( ~ member(esk15_2(X1,esk3_0),X2)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_118]) ).
cnf(c_0_125,plain,
( ~ member(X2,esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_119]) ).
cnf(c_0_126,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_127,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,esk16_2(X1,esk3_0),X2)
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_110]) ).
cnf(c_0_129,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_97]),c_0_8])]) ).
cnf(c_0_130,plain,
( ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_90]),c_0_8])]),c_0_58]),c_0_91]) ).
cnf(c_0_131,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_110]) ).
cnf(c_0_132,plain,
( ~ member(X2,esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_126]) ).
cnf(c_0_133,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk13_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_134,negated_conjecture,
( ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| apply(esk3_0,esk15_2(X1,esk3_0),esk17_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_135,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk13_2(X1,X2),X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_136,plain,
( ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk12_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_137,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,X1,esk17_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_129]),c_0_97]),c_0_91]) ).
cnf(c_0_138,negated_conjecture,
( ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_130]),c_0_91]),c_0_90]) ).
cnf(c_0_139,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_110]) ).
cnf(c_0_140,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_110]) ).
cnf(c_0_141,plain,
( ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk13_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_110]) ).
cnf(c_0_142,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk17_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_110]) ).
cnf(c_0_143,plain,
member(esk12_2(esk2_0,esk3_0),esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_58]),c_0_90]),c_0_138]),c_0_113]) ).
cnf(c_0_144,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk13_2(X1,X2),X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_145,negated_conjecture,
( ~ member(X2,esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,esk16_2(X1,esk3_0),X2)
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_139]) ).
cnf(c_0_146,negated_conjecture,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_110]) ).
cnf(c_0_147,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_148,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_149,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]),c_0_58]) ).
cnf(c_0_150,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk16_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_110]) ).
cnf(c_0_151,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk13_2(X1,X2),X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_152,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_153,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_154,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| member(esk14_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_155,negated_conjecture,
( ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| apply(esk3_0,esk15_2(X1,esk3_0),esk17_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_156,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk14_2(X1,X2),X1)
| member(esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_157,plain,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk17_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_147]),c_0_148]) ).
cnf(c_0_158,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk13_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_143])]),c_0_58]) ).
cnf(c_0_159,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk15_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_110]) ).
cnf(c_0_160,plain,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk16_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_152]),c_0_153]) ).
cnf(c_0_161,plain,
( ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| member(esk14_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_110]) ).
cnf(c_0_162,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk17_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_110]) ).
cnf(c_0_163,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk14_2(X1,X2),X1)
| member(esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_164,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_165,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| epred1_2(X2,X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_166,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_167,negated_conjecture,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk17_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_110]) ).
cnf(c_0_168,plain,
member(esk13_2(esk2_0,esk3_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_143])]),c_0_58]) ).
cnf(c_0_169,negated_conjecture,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk16_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_110]) ).
cnf(c_0_170,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_143])]),c_0_58]) ).
cnf(c_0_171,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk16_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_110]) ).
cnf(c_0_172,plain,
( ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2))
| epred1_2(X2,X1)
| member(esk14_2(X1,X2),X1)
| member(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_173,plain,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| member(esk15_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_164]),c_0_165]) ).
cnf(c_0_174,plain,
( ~ member(esk17_2(X1,esk3_0),X2)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_166]) ).
cnf(c_0_175,negated_conjecture,
( ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk17_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_8]),c_0_143])]),c_0_58]) ).
cnf(c_0_176,negated_conjecture,
( ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_168]),c_0_8]),c_0_143])]),c_0_58]) ).
cnf(c_0_177,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_143])]),c_0_58]) ).
cnf(c_0_178,plain,
( ~ member(esk12_2(X1,esk3_0),esk2_0)
| member(esk15_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_110]) ).
cnf(c_0_179,negated_conjecture,
( ~ member(esk13_2(X1,esk3_0),X2)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| member(esk15_2(X1,esk3_0),X1)
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_110]) ).
cnf(c_0_180,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_181,plain,
( ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_8])]),c_0_58]),c_0_176]) ).
cnf(c_0_182,plain,
member(esk14_2(esk2_0,esk3_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_143])]),c_0_58]) ).
cnf(c_0_183,negated_conjecture,
( ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| member(esk15_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_168]),c_0_8]),c_0_143])]),c_0_58]) ).
cnf(c_0_184,plain,
( ~ member(X2,esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_180]) ).
cnf(c_0_185,plain,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).
cnf(c_0_186,negated_conjecture,
member(esk16_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_182])]) ).
cnf(c_0_187,negated_conjecture,
member(esk15_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_182])]) ).
cnf(c_0_188,negated_conjecture,
member(esk17_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_182])]) ).
cnf(c_0_189,plain,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk17_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]),c_0_188])]),c_0_58]) ).
cnf(c_0_190,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_191,negated_conjecture,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_189]),c_0_187]),c_0_188])]) ).
cnf(c_0_192,plain,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_58]) ).
cnf(c_0_193,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk14_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,X1,esk13_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_192]),c_0_182]),c_0_168])]) ).
cnf(c_0_194,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk16_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_195,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk14_2(esk2_0,esk3_0))
| apply(esk3_0,X1,esk13_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_110]),c_0_143])]) ).
cnf(c_0_196,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| epred1_2(X1,X2)
| apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_197,plain,
( ~ member(X2,esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_194]) ).
cnf(c_0_198,negated_conjecture,
apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_110]),c_0_182])]) ).
cnf(c_0_199,plain,
( ~ member(esk16_2(X1,esk3_0),X2)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ partition(esk1_0,X2)
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| epred1_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_196]) ).
cnf(c_0_200,plain,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk17_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,X1,esk16_2(esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_188]),c_0_186])]),c_0_58]) ).
cnf(c_0_201,plain,
( ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_176]),c_0_8])]),c_0_58]),c_0_183]) ).
cnf(c_0_202,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk17_2(esk2_0,esk3_0))
| apply(esk3_0,X1,esk16_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_110]),c_0_143])]) ).
cnf(c_0_203,plain,
( ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_182])]) ).
cnf(c_0_204,negated_conjecture,
apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_110]),c_0_188])]) ).
cnf(c_0_205,negated_conjecture,
( ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_203]),c_0_187]),c_0_186])]) ).
cnf(c_0_206,plain,
( ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_207,negated_conjecture,
( ~ member(X1,esk2_0)
| ~ apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| apply(esk3_0,X1,esk17_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_204]),c_0_186]),c_0_188])]) ).
cnf(c_0_208,negated_conjecture,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_198])]) ).
cnf(c_0_209,plain,
~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_198]),c_0_187])]),c_0_58]),c_0_208]) ).
cnf(c_0_210,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_110]),c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET772+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:37:29 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.51 Running first-order theorem proving
% 0.18/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 171.63/25.88 % Version: 3.5.1
% 171.63/25.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 171.63/25.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 171.63/25.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 171.63/25.88 % Starting new_bool_3 with 300s (1) cores
% 171.63/25.88 % Starting new_bool_1 with 300s (1) cores
% 171.63/25.88 % Starting sh5l with 300s (1) cores
% 171.63/25.88 % new_bool_1 with pid 956071 completed with status 0
% 171.63/25.88 % Result found by new_bool_1
% 171.63/25.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 171.63/25.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 171.63/25.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 171.63/25.88 % Starting new_bool_3 with 300s (1) cores
% 171.63/25.88 % Starting new_bool_1 with 300s (1) cores
% 171.63/25.88 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 171.63/25.88 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 171.63/25.88 % Search class: FGUSF-FFLF32-SFFFFFNN
% 171.63/25.88 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 171.63/25.88 % Starting SubtermCWHack with 31s (1) cores
% 171.63/25.88 % SubtermCWHack with pid 956073 completed with status 0
% 171.63/25.88 % Result found by SubtermCWHack
% 171.63/25.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 171.63/25.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 171.63/25.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 171.63/25.88 % Starting new_bool_3 with 300s (1) cores
% 171.63/25.88 % Starting new_bool_1 with 300s (1) cores
% 171.63/25.88 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 171.63/25.88 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 171.63/25.88 % Search class: FGUSF-FFLF32-SFFFFFNN
% 171.63/25.88 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 171.63/25.88 % Starting SubtermCWHack with 31s (1) cores
% 171.63/25.88 % Preprocessing time : 0.003 s
% 171.63/25.88
% 171.63/25.88 % Proof found!
% 171.63/25.88 % SZS status Theorem
% 171.63/25.88 % SZS output start CNFRefutation
% See solution above
% 171.63/25.88 % Parsed axioms : 17
% 171.63/25.88 % Removed by relevancy pruning/SinE : 13
% 171.63/25.88 % Initial clauses : 86
% 171.63/25.88 % Removed in clause preprocessing : 0
% 171.63/25.88 % Initial clauses in saturation : 86
% 171.63/25.88 % Processed clauses : 18242
% 171.63/25.88 % ...of these trivial : 13
% 171.63/25.88 % ...subsumed : 11776
% 171.63/25.88 % ...remaining for further processing : 6453
% 171.63/25.88 % Other redundant clauses eliminated : 0
% 171.63/25.88 % Clauses deleted for lack of memory : 0
% 171.63/25.88 % Backward-subsumed : 791
% 171.63/25.88 % Backward-rewritten : 687
% 171.63/25.88 % Generated clauses : 798211
% 171.63/25.88 % ...of the previous two non-redundant : 789577
% 171.63/25.88 % ...aggressively subsumed : 0
% 171.63/25.88 % Contextual simplify-reflections : 788
% 171.63/25.88 % Paramodulations : 798207
% 171.63/25.88 % Factorizations : 4
% 171.63/25.88 % NegExts : 0
% 171.63/25.88 % Equation resolutions : 0
% 171.63/25.88 % Disequality decompositions : 0
% 171.63/25.88 % Total rewrite steps : 39003
% 171.63/25.88 % ...of those cached : 38981
% 171.63/25.88 % Propositional unsat checks : 0
% 171.63/25.88 % Propositional check models : 0
% 171.63/25.88 % Propositional check unsatisfiable : 0
% 171.63/25.88 % Propositional clauses : 0
% 171.63/25.88 % Propositional clauses after purity: 0
% 171.63/25.88 % Propositional unsat core size : 0
% 171.63/25.88 % Propositional preprocessing time : 0.000
% 171.63/25.88 % Propositional encoding time : 0.000
% 171.63/25.88 % Propositional solver time : 0.000
% 171.63/25.88 % Success case prop preproc time : 0.000
% 171.63/25.88 % Success case prop encoding time : 0.000
% 171.63/25.88 % Success case prop solver time : 0.000
% 171.63/25.88 % Current number of processed clauses : 4975
% 171.63/25.88 % Positive orientable unit clauses : 16
% 171.63/25.88 % Positive unorientable unit clauses: 0
% 171.63/25.88 % Negative unit clauses : 3
% 171.63/25.88 % Non-unit-clauses : 4956
% 171.63/25.88 % Current number of unprocessed clauses: 767381
% 171.63/25.88 % ...number of literals in the above : 8750230
% 171.63/25.88 % Current number of archived formulas : 0
% 171.63/25.88 % Current number of archived clauses : 1478
% 171.63/25.88 % Clause-clause subsumption calls (NU) : 2967073
% 171.63/25.88 % Rec. Clause-clause subsumption calls : 188217
% 171.63/25.88 % Non-unit clause-clause subsumptions : 13337
% 171.63/25.88 % Unit Clause-clause subsumption calls : 15733
% 171.63/25.88 % Rewrite failures with RHS unbound : 0
% 171.63/25.88 % BW rewrite match attempts : 17
% 171.63/25.88 % BW rewrite match successes : 10
% 171.63/25.88 % Condensation attempts : 0
% 171.63/25.88 % Condensation successes : 0
% 171.63/25.88 % Termbank termtop insertions : 35081651
% 171.63/25.88 % Search garbage collected termcells : 1223
% 171.63/25.88
% 171.63/25.88 % -------------------------------------------------
% 171.63/25.88 % User time : 23.367 s
% 171.63/25.88 % System time : 0.729 s
% 171.63/25.88 % Total time : 24.096 s
% 171.63/25.88 % Maximum resident set size: 3664 pages
% 171.63/25.88
% 171.63/25.88 % -------------------------------------------------
% 171.63/25.88 % User time : 23.368 s
% 171.63/25.88 % System time : 0.740 s
% 171.63/25.88 % Total time : 24.108 s
% 171.63/25.88 % Maximum resident set size: 4608 pages
% 171.63/25.88 % E exiting
%------------------------------------------------------------------------------