TSTP Solution File: SET772+4 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:29 EDT 2023
% Result : Theorem 1403.31s 180.70s
% Output : CNFRefutation 1403.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 5
% Syntax : Number of formulae : 203 ( 8 unt; 0 def)
% Number of atoms : 1288 ( 17 equ)
% Maximal formula atoms : 207 ( 6 avg)
% Number of connectives : 1699 ( 614 ~; 953 |; 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 : 404 ( 1 sgn; 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII08,conjecture,
! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X6,X1)
& member(X3,X6)
& member(X5,X6) ) ) )
=> equivalence(X7,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pLNeMiKaX5/E---3.1_16452.p',thIII08) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> X3 = X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pLNeMiKaX5/E---3.1_16452.p',partition) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pLNeMiKaX5/E---3.1_16452.p',subset) ).
fof(equivalence,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pLNeMiKaX5/E---3.1_16452.p',equivalence) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X4,X7] :
( partition(X1,X4)
=> ( ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( apply(X7,X3,X5)
<=> ? [X6] :
( member(X6,X1)
& member(X3,X6)
& member(X5,X6) ) ) )
=> equivalence(X7,X4) ) ),
inference(assume_negation,[status(cth)],[thIII08]) ).
fof(c_0_5,plain,
! [X17,X18,X19,X20,X22,X23,X24,X25,X26,X29] :
( ( ~ member(X19,X17)
| subset(X19,X18)
| ~ partition(X17,X18) )
& ( member(esk5_3(X17,X18,X20),X17)
| ~ member(X20,X18)
| ~ partition(X17,X18) )
& ( member(X20,esk5_3(X17,X18,X20))
| ~ member(X20,X18)
| ~ partition(X17,X18) )
& ( ~ member(X22,X17)
| ~ member(X23,X17)
| ~ member(X24,X22)
| ~ member(X24,X23)
| X22 = X23
| ~ partition(X17,X18) )
& ( member(esk8_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk9_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk8_2(X25,X26))
| member(esk7_2(X25,X26),X26)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk9_2(X25,X26))
| member(esk7_2(X25,X26),X26)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( esk8_2(X25,X26) != esk9_2(X25,X26)
| member(esk7_2(X25,X26),X26)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk8_2(X25,X26),X25)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk9_2(X25,X26),X25)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk8_2(X25,X26))
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk9_2(X25,X26))
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( esk8_2(X25,X26) != esk9_2(X25,X26)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| member(esk6_2(X25,X26),X25)
| partition(X25,X26) )
& ( member(esk8_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk9_2(X25,X26),X25)
| member(esk7_2(X25,X26),X26)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk8_2(X25,X26))
| member(esk7_2(X25,X26),X26)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk9_2(X25,X26))
| member(esk7_2(X25,X26),X26)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( esk8_2(X25,X26) != esk9_2(X25,X26)
| member(esk7_2(X25,X26),X26)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk8_2(X25,X26),X25)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk9_2(X25,X26),X25)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk8_2(X25,X26))
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( member(esk10_2(X25,X26),esk9_2(X25,X26))
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) )
& ( esk8_2(X25,X26) != esk9_2(X25,X26)
| ~ member(X29,X25)
| ~ member(esk7_2(X25,X26),X29)
| ~ subset(esk6_2(X25,X26),X26)
| partition(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X11,X12,X14] :
( partition(esk1_0,esk2_0)
& ( member(esk4_2(X11,X12),esk1_0)
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( member(X11,esk4_2(X11,X12))
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( member(X12,esk4_2(X11,X12))
| ~ apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ( ~ member(X14,esk1_0)
| ~ member(X11,X14)
| ~ member(X12,X14)
| apply(esk3_0,X11,X12)
| ~ member(X11,esk2_0)
| ~ member(X12,esk2_0) )
& ~ equivalence(esk3_0,esk2_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_7,plain,
( X1 = X3
| ~ member(X1,X2)
| ~ member(X3,X2)
| ~ member(X4,X1)
| ~ member(X4,X3)
| ~ partition(X2,X5) ),
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(X33,X34)
| ~ member(X35,X33)
| member(X35,X34) )
& ( member(esk11_2(X36,X37),X36)
| subset(X36,X37) )
& ( ~ member(esk11_2(X36,X37),X37)
| subset(X36,X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).
cnf(c_0_10,plain,
( subset(X1,X3)
| ~ member(X1,X2)
| ~ partition(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( X1 = X2
| ~ member(X2,esk1_0)
| ~ member(X1,esk1_0)
| ~ member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( member(esk4_2(X1,X2),esk1_0)
| ~ apply(esk3_0,X1,X2)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( subset(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( X1 = esk4_2(X2,X3)
| ~ apply(esk3_0,X2,X3)
| ~ member(X4,esk4_2(X2,X3))
| ~ member(X1,esk1_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X4,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,esk4_2(X1,X2))
| ~ apply(esk3_0,X1,X2)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X2,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( X1 = esk4_2(X2,X3)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk1_0)
| ~ member(X3,esk2_0)
| ~ member(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
( member(esk5_3(X1,X2,X3),X1)
| ~ member(X3,X2)
| ~ partition(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( member(X1,esk4_2(X2,X1))
| ~ apply(esk3_0,X2,X1)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk3_0,X2,X3)
| ~ member(X1,esk1_0)
| ~ member(X2,X1)
| ~ member(X3,X1)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( esk5_3(esk1_0,X1,X2) = esk4_2(X3,X4)
| ~ apply(esk3_0,X3,X4)
| ~ partition(esk1_0,X1)
| ~ member(X3,esk5_3(esk1_0,X1,X2))
| ~ member(X4,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( member(X1,esk5_3(X2,X3,X1))
| ~ member(X1,X3)
| ~ partition(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( member(X1,esk2_0)
| ~ partition(esk1_0,X2)
| ~ member(X1,esk5_3(esk1_0,X2,X3))
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( X1 = esk4_2(X2,X3)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk1_0)
| ~ member(X2,esk2_0)
| ~ member(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ member(X3,esk1_0)
| ~ member(X2,X3)
| ~ member(X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_21,c_0_17]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( esk5_3(esk1_0,X1,X2) = esk4_2(X2,X3)
| ~ apply(esk3_0,X2,X3)
| ~ partition(esk1_0,X1)
| ~ member(X3,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( member(X1,esk2_0)
| ~ partition(esk1_0,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( esk5_3(esk1_0,X1,X2) = esk4_2(X3,X4)
| ~ apply(esk3_0,X3,X4)
| ~ partition(esk1_0,X1)
| ~ member(X4,esk5_3(esk1_0,X1,X2))
| ~ member(X3,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ partition(esk1_0,X3)
| ~ member(X2,esk5_3(esk1_0,X3,X4))
| ~ member(X1,esk5_3(esk1_0,X3,X4))
| ~ member(X4,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_31,negated_conjecture,
( member(X1,esk5_3(esk1_0,X2,X3))
| ~ apply(esk3_0,X3,X1)
| ~ partition(esk1_0,X2)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( esk5_3(esk1_0,X1,X2) = esk4_2(X3,X2)
| ~ apply(esk3_0,X3,X2)
| ~ partition(esk1_0,X1)
| ~ member(X3,esk2_0)
| ~ member(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
fof(c_0_33,plain,
! [X1,X7] :
( epred1_2(X7,X1)
<=> ( ! [X3] :
( member(X3,X1)
=> apply(X7,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( apply(X7,X3,X5)
=> apply(X7,X5,X3) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X2)
| ~ partition(esk1_0,X4)
| ~ member(X1,esk5_3(esk1_0,X4,X3))
| ~ member(X2,esk2_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( member(X1,esk5_3(esk1_0,X2,X3))
| ~ apply(esk3_0,X1,X3)
| ~ partition(esk1_0,X2)
| ~ member(X1,esk2_0)
| ~ member(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_32]),c_0_28]) ).
fof(c_0_36,plain,
! [X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( ~ member(X41,X39)
| apply(X40,X41,X41)
| ~ epred1_2(X40,X39) )
& ( ~ member(X42,X39)
| ~ member(X43,X39)
| ~ apply(X40,X42,X43)
| apply(X40,X43,X42)
| ~ epred1_2(X40,X39) )
& ( ~ member(X44,X39)
| ~ member(X45,X39)
| ~ member(X46,X39)
| ~ apply(X40,X44,X45)
| ~ apply(X40,X45,X46)
| apply(X40,X44,X46)
| ~ epred1_2(X40,X39) )
& ( member(esk15_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| member(esk12_2(X47,X48),X47)
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| member(esk13_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| member(esk14_2(X47,X48),X47)
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| apply(X48,esk13_2(X47,X48),esk14_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk15_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk16_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( member(esk17_2(X47,X48),X47)
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk15_2(X47,X48),esk16_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( apply(X48,esk16_2(X47,X48),esk17_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) )
& ( ~ apply(X48,esk15_2(X47,X48),esk17_2(X47,X48))
| ~ apply(X48,esk14_2(X47,X48),esk13_2(X47,X48))
| ~ apply(X48,esk12_2(X47,X48),esk12_2(X47,X48))
| epred1_2(X48,X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])])]) ).
cnf(c_0_37,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X1,X3)
| ~ partition(esk1_0,X4)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_39,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_33]) ).
cnf(c_0_40,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ partition(esk1_0,X3)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X3)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
( member(esk16_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X15,X16] :
( ( ~ equivalence(X16,X15)
| epred1_2(X16,X15) )
& ( ~ epred1_2(X16,X15)
| equivalence(X16,X15) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_43,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ partition(esk1_0,X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( member(esk13_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
~ equivalence(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_47,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( esk4_2(X1,X2) = esk4_2(X3,X2)
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X1,X2)
| ~ partition(esk1_0,X4)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ partition(esk1_0,X3)
| ~ member(X1,esk5_3(esk1_0,X3,X2))
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
cnf(c_0_50,plain,
( epred1_2(esk3_0,X1)
| member(esk13_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_51,plain,
( member(esk17_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52,negated_conjecture,
~ epred1_2(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X4)
| ~ member(X2,esk4_2(X3,X4))
| ~ member(X1,esk4_2(X3,X4))
| ~ member(X4,esk2_0)
| ~ member(X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_54,negated_conjecture,
( esk4_2(X1,X2) = esk4_2(X3,X2)
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X1,X2)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_8]) ).
cnf(c_0_55,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X1)
| ~ partition(esk1_0,X3)
| ~ member(X1,esk2_0)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_56,plain,
( member(esk16_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_57,plain,
( member(esk16_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_58,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk13_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(spm,[status(thm)],[c_0_50,c_0_51]),c_0_8])]),c_0_52]) ).
cnf(c_0_59,plain,
( member(esk15_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60,plain,
( member(esk17_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_61,plain,
( member(esk17_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk4_2(X2,X3))
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_16]) ).
cnf(c_0_63,negated_conjecture,
( member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X1,X3)
| ~ apply(esk3_0,X2,X3)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_54]) ).
cnf(c_0_64,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_65,plain,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_66,plain,
( 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_58,c_0_59]),c_0_52]) ).
cnf(c_0_67,plain,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_60]),c_0_61]) ).
cnf(c_0_68,plain,
( member(esk15_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_69,plain,
( member(esk15_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_70,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X3)
| ~ apply(esk3_0,X1,X3)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_72,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_64]) ).
cnf(c_0_73,plain,
( member(esk12_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_65,c_0_66]),c_0_8])]),c_0_52]) ).
cnf(c_0_74,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| member(esk17_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_67,c_0_66]),c_0_8])]),c_0_52]) ).
cnf(c_0_75,plain,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_68]),c_0_69]) ).
cnf(c_0_76,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
( 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))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_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_72,c_0_73]),c_0_8])]),c_0_52]),c_0_74]) ).
cnf(c_0_78,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| 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_75,c_0_66]),c_0_8])]),c_0_52]) ).
cnf(c_0_79,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X1)
| ~ member(X1,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_20]) ).
cnf(c_0_80,plain,
( apply(esk3_0,esk17_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_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_76,c_0_77]),c_0_52]),c_0_74]),c_0_78]),c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X3)
| ~ partition(esk1_0,X4)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_82,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_83,plain,
( apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_84,negated_conjecture,
( apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_74]),c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_8]) ).
cnf(c_0_86,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_87,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X2)
| ~ member(X1,esk4_2(X3,X2))
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_20]) ).
cnf(c_0_88,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_82]) ).
cnf(c_0_89,plain,
( apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_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_83,c_0_84]),c_0_52]) ).
cnf(c_0_90,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X4)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk4_2(X3,X4))
| ~ member(X4,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_85]) ).
cnf(c_0_91,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X1,X3)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_85]) ).
cnf(c_0_93,plain,
( apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ member(esk14_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_88,c_0_73]),c_0_8])]),c_0_52]),c_0_74]) ).
cnf(c_0_94,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)
| ~ partition(esk1_0,X1)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk13_2(esk2_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_89]) ).
cnf(c_0_95,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_96,negated_conjecture,
( apply(esk3_0,X1,X1)
| ~ partition(esk1_0,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_97,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X1)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_20]) ).
cnf(c_0_98,plain,
( apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ member(esk14_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_91,c_0_78]),c_0_8])]),c_0_52]),c_0_73]) ).
cnf(c_0_99,negated_conjecture,
( apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| member(esk12_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,X1,esk17_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_74]),c_0_73]) ).
cnf(c_0_100,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)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_66]),c_0_8])]) ).
cnf(c_0_101,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| member(esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_102,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
( apply(esk3_0,X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_8]) ).
cnf(c_0_104,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| member(esk14_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_105,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_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,X1,esk16_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_73]),c_0_78]) ).
cnf(c_0_106,negated_conjecture,
( 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))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ partition(esk1_0,X3)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X3)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_104]) ).
cnf(c_0_110,plain,
( member(esk16_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_111,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_103]),c_0_74]) ).
cnf(c_0_113,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_103]) ).
cnf(c_0_114,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_103]) ).
cnf(c_0_115,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk17_2(X1,esk3_0))
| member(esk12_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ partition(esk1_0,X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| member(esk14_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_117,plain,
( member(esk14_2(X2,X1),X2)
| member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_118,plain,
( member(esk12_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_119,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_74]) ).
cnf(c_0_120,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk15_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,plain,
( epred1_2(esk3_0,X1)
| member(esk14_2(X1,esk3_0),X1)
| member(esk12_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_122,plain,
( member(esk17_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_123,plain,
( member(esk12_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_52]),c_0_100]) ).
cnf(c_0_124,plain,
( member(esk13_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_125,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk15_2(X1,esk3_0),esk17_2(X1,esk3_0))
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_120]) ).
cnf(c_0_126,plain,
( member(esk17_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_127,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_121,c_0_122]),c_0_8])]),c_0_52]),c_0_123]) ).
cnf(c_0_128,plain,
( member(esk15_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| member(esk12_2(X1,X2),X1)
| epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_129,plain,
( epred1_2(esk3_0,X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_103]) ).
cnf(c_0_130,plain,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_103]) ).
cnf(c_0_131,plain,
member(esk12_2(esk2_0,esk3_0),esk2_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_52]),c_0_123]) ).
cnf(c_0_132,plain,
( member(esk16_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_133,plain,
( member(esk16_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_134,plain,
( member(esk16_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_135,plain,
( member(esk13_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk15_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(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]),c_0_52]) ).
cnf(c_0_136,plain,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_103]) ).
cnf(c_0_137,plain,
( member(esk15_2(X1,X2),X1)
| member(esk13_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_138,plain,
( member(esk15_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_139,plain,
( member(esk15_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_140,negated_conjecture,
( member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X2,X1)
| ~ apply(esk3_0,X2,X3)
| ~ partition(esk1_0,X4)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_141,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X3)
| ~ partition(esk1_0,X4)
| ~ member(X1,esk5_3(esk1_0,X4,X3))
| ~ member(X2,esk2_0)
| ~ member(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_32]),c_0_28]) ).
cnf(c_0_142,plain,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_133]),c_0_134]) ).
cnf(c_0_143,plain,
( member(esk13_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(spm,[status(thm)],[c_0_135,c_0_136]),c_0_131])]),c_0_52]) ).
cnf(c_0_144,plain,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),X1)
| member(esk13_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_103]) ).
cnf(c_0_145,plain,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_138]),c_0_139]) ).
cnf(c_0_146,plain,
( member(esk17_2(X1,X2),X1)
| apply(X2,esk13_2(X1,X2),esk14_2(X1,X2))
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_147,plain,
( member(esk17_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk14_2(X1,X2),esk13_2(X1,X2))
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_148,negated_conjecture,
( member(X1,esk4_2(X2,X3))
| ~ apply(esk3_0,X2,X1)
| ~ apply(esk3_0,X2,X3)
| ~ member(X1,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_8]) ).
cnf(c_0_149,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X2,X1)
| ~ partition(esk1_0,X3)
| ~ member(X2,esk2_0)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_23]) ).
cnf(c_0_150,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_151,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_103]) ).
cnf(c_0_152,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_143,c_0_144]),c_0_131])]),c_0_52]) ).
cnf(c_0_153,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_103]) ).
cnf(c_0_154,plain,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_146]),c_0_147]) ).
cnf(c_0_155,negated_conjecture,
( apply(esk3_0,X1,X2)
| ~ apply(esk3_0,X3,X2)
| ~ apply(esk3_0,X3,X1)
| ~ member(X2,esk2_0)
| ~ member(X3,esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_148]) ).
cnf(c_0_156,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_157,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
( 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_8]),c_0_131])]),c_0_52]) ).
cnf(c_0_159,negated_conjecture,
( 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_8]),c_0_131])]),c_0_52]) ).
cnf(c_0_160,negated_conjecture,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),X1)
| ~ partition(esk1_0,X2)
| ~ member(esk14_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk13_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_103]) ).
cnf(c_0_161,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_162,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk13_2(X1,esk3_0),esk14_2(X1,esk3_0))
| apply(esk3_0,X2,esk17_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),X2)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_163,plain,
( apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0))
| apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_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_157,c_0_158]),c_0_8])]),c_0_52]),c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( member(esk17_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_152]),c_0_8]),c_0_131])]),c_0_52]) ).
cnf(c_0_165,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_166,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_161]) ).
cnf(c_0_167,plain,
( apply(X1,esk13_2(X2,X1),esk14_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_168,plain,
( 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))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_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_162,c_0_163]),c_0_52]),c_0_159]),c_0_158]),c_0_164]) ).
cnf(c_0_169,plain,
( apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
| member(esk14_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_170,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk16_2(X1,esk3_0),esk15_2(X1,esk3_0))
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,esk14_2(X1,esk3_0),esk13_2(X1,esk3_0))
| ~ partition(esk1_0,X2)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_165]) ).
cnf(c_0_171,plain,
( apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ member(esk14_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_166,c_0_158]),c_0_8])]),c_0_52]),c_0_164]) ).
cnf(c_0_172,plain,
( apply(esk3_0,esk13_2(esk2_0,esk3_0),esk14_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_52]) ).
cnf(c_0_173,plain,
( apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
| member(esk14_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_174,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_169]) ).
cnf(c_0_175,plain,
( apply(esk3_0,esk16_2(esk2_0,esk3_0),esk15_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ member(esk14_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_170,c_0_158]),c_0_8])]),c_0_52]),c_0_159]) ).
cnf(c_0_176,negated_conjecture,
( apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk17_2(esk2_0,esk3_0),X1)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_171]),c_0_164]),c_0_158]) ).
cnf(c_0_177,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))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_172]),c_0_152])]) ).
cnf(c_0_178,plain,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(X1,esk3_0),esk12_2(X1,esk3_0))
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_173]) ).
cnf(c_0_179,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk16_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk17_2(X1,esk3_0))
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_174,c_0_103]) ).
cnf(c_0_180,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk14_2(esk2_0,esk3_0),esk13_2(esk2_0,esk3_0))
| ~ apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_175]),c_0_158]),c_0_159]) ).
cnf(c_0_181,negated_conjecture,
( apply(esk3_0,X1,esk16_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk17_2(esk2_0,esk3_0),X1)
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,X2,esk15_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ apply(esk3_0,X2,esk16_2(X1,esk3_0))
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_103]) ).
cnf(c_0_183,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk16_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_103]) ).
cnf(c_0_184,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),X1)
| ~ 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))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_177]) ).
cnf(c_0_185,negated_conjecture,
( apply(esk3_0,esk17_2(esk2_0,esk3_0),esk16_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_103]),c_0_164]) ).
cnf(c_0_186,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk17_2(X1,esk3_0),esk15_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_187,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk14_2(X2,X1),esk13_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_188,negated_conjecture,
( apply(esk3_0,esk15_2(esk2_0,esk3_0),esk17_2(esk2_0,esk3_0))
| ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_164]) ).
cnf(c_0_189,plain,
( member(esk14_2(X2,X1),X2)
| epred1_2(X1,X2)
| ~ apply(X1,esk15_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk12_2(X2,X1),esk12_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_190,negated_conjecture,
( epred1_2(esk3_0,X1)
| apply(esk3_0,esk15_2(X1,esk3_0),esk17_2(X1,esk3_0))
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_186]) ).
cnf(c_0_191,plain,
( member(esk17_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_192,plain,
( ~ apply(esk3_0,esk12_2(esk2_0,esk3_0),esk12_2(esk2_0,esk3_0))
| ~ member(esk14_2(esk2_0,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_52]),c_0_177]) ).
cnf(c_0_193,plain,
( epred1_2(esk3_0,X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk15_2(X1,esk3_0),esk2_0)
| ~ member(esk17_2(X1,esk3_0),esk2_0)
| ~ member(esk16_2(X1,esk3_0),esk2_0)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_103]) ).
cnf(c_0_194,plain,
( epred1_2(esk3_0,X1)
| member(esk17_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_191,c_0_103]) ).
cnf(c_0_195,negated_conjecture,
~ member(esk14_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_103]),c_0_131])]) ).
cnf(c_0_196,plain,
( member(esk16_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_197,plain,
( ~ member(esk15_2(esk2_0,esk3_0),esk2_0)
| ~ member(esk16_2(esk2_0,esk3_0),esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_131])]),c_0_52]),c_0_195]) ).
cnf(c_0_198,plain,
( epred1_2(esk3_0,X1)
| member(esk16_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_103]) ).
cnf(c_0_199,plain,
( member(esk15_2(X1,X2),X1)
| member(esk14_2(X1,X2),X1)
| epred1_2(X2,X1)
| ~ apply(X2,esk12_2(X1,X2),esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_200,plain,
~ member(esk15_2(esk2_0,esk3_0),esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_131])]),c_0_52]),c_0_195]) ).
cnf(c_0_201,plain,
( epred1_2(esk3_0,X1)
| member(esk15_2(X1,esk3_0),X1)
| member(esk14_2(X1,esk3_0),X1)
| ~ member(esk12_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_103]) ).
cnf(c_0_202,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_131])]),c_0_52]),c_0_195]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Oct 2 17:00:30 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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/tmp/tmp.pLNeMiKaX5/E---3.1_16452.p
% 1403.31/180.70 # Version: 3.1pre001
% 1403.31/180.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1403.31/180.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1403.31/180.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1403.31/180.70 # Starting new_bool_3 with 300s (1) cores
% 1403.31/180.70 # Starting new_bool_1 with 300s (1) cores
% 1403.31/180.70 # Starting sh5l with 300s (1) cores
% 1403.31/180.70 # new_bool_1 with pid 16532 completed with status 0
% 1403.31/180.70 # Result found by new_bool_1
% 1403.31/180.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1403.31/180.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1403.31/180.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1403.31/180.70 # Starting new_bool_3 with 300s (1) cores
% 1403.31/180.70 # Starting new_bool_1 with 300s (1) cores
% 1403.31/180.70 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1403.31/180.70 # Search class: FGUSF-FFLF32-SFFFFFNN
% 1403.31/180.70 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1403.31/180.70 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1403.31/180.70 # SAT001_MinMin_p005000_rr_RG with pid 16534 completed with status 0
% 1403.31/180.70 # Result found by SAT001_MinMin_p005000_rr_RG
% 1403.31/180.70 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1403.31/180.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1403.31/180.70 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1403.31/180.70 # Starting new_bool_3 with 300s (1) cores
% 1403.31/180.70 # Starting new_bool_1 with 300s (1) cores
% 1403.31/180.70 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1403.31/180.70 # Search class: FGUSF-FFLF32-SFFFFFNN
% 1403.31/180.70 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1403.31/180.70 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1403.31/180.70 # Preprocessing time : 0.002 s
% 1403.31/180.70 # Presaturation interreduction done
% 1403.31/180.70
% 1403.31/180.70 # Proof found!
% 1403.31/180.70 # SZS status Theorem
% 1403.31/180.70 # SZS output start CNFRefutation
% See solution above
% 1403.31/180.70 # Parsed axioms : 17
% 1403.31/180.70 # Removed by relevancy pruning/SinE : 13
% 1403.31/180.70 # Initial clauses : 86
% 1403.31/180.70 # Removed in clause preprocessing : 0
% 1403.31/180.70 # Initial clauses in saturation : 86
% 1403.31/180.70 # Processed clauses : 63853
% 1403.31/180.70 # ...of these trivial : 3
% 1403.31/180.70 # ...subsumed : 47535
% 1403.31/180.70 # ...remaining for further processing : 16315
% 1403.31/180.70 # Other redundant clauses eliminated : 0
% 1403.31/180.70 # Clauses deleted for lack of memory : 485561
% 1403.31/180.70 # Backward-subsumed : 6771
% 1403.31/180.70 # Backward-rewritten : 110
% 1403.31/180.70 # Generated clauses : 3236390
% 1403.31/180.70 # ...of the previous two non-redundant : 3181596
% 1403.31/180.70 # ...aggressively subsumed : 0
% 1403.31/180.70 # Contextual simplify-reflections : 3955
% 1403.31/180.70 # Paramodulations : 3236388
% 1403.31/180.70 # Factorizations : 0
% 1403.31/180.70 # NegExts : 0
% 1403.31/180.70 # Equation resolutions : 0
% 1403.31/180.70 # Total rewrite steps : 43803
% 1403.31/180.70 # Propositional unsat checks : 3
% 1403.31/180.70 # Propositional check models : 0
% 1403.31/180.70 # Propositional check unsatisfiable : 0
% 1403.31/180.70 # Propositional clauses : 0
% 1403.31/180.70 # Propositional clauses after purity: 0
% 1403.31/180.70 # Propositional unsat core size : 0
% 1403.31/180.70 # Propositional preprocessing time : 0.000
% 1403.31/180.70 # Propositional encoding time : 7.735
% 1403.31/180.70 # Propositional solver time : 0.874
% 1403.31/180.70 # Success case prop preproc time : 0.000
% 1403.31/180.70 # Success case prop encoding time : 0.000
% 1403.31/180.70 # Success case prop solver time : 0.000
% 1403.31/180.70 # Current number of processed clauses : 9346
% 1403.31/180.70 # Positive orientable unit clauses : 4
% 1403.31/180.70 # Positive unorientable unit clauses: 0
% 1403.31/180.70 # Negative unit clauses : 5
% 1403.31/180.70 # Non-unit-clauses : 9337
% 1403.31/180.70 # Current number of unprocessed clauses: 715564
% 1403.31/180.70 # ...number of literals in the above : 9124121
% 1403.31/180.70 # Current number of archived formulas : 0
% 1403.31/180.70 # Current number of archived clauses : 6969
% 1403.31/180.70 # Clause-clause subsumption calls (NU) : 33418186
% 1403.31/180.70 # Rec. Clause-clause subsumption calls : 1591387
% 1403.31/180.70 # Non-unit clause-clause subsumptions : 54781
% 1403.31/180.70 # Unit Clause-clause subsumption calls : 32606
% 1403.31/180.70 # Rewrite failures with RHS unbound : 0
% 1403.31/180.70 # BW rewrite match attempts : 3
% 1403.31/180.70 # BW rewrite match successes : 2
% 1403.31/180.70 # Condensation attempts : 0
% 1403.31/180.70 # Condensation successes : 0
% 1403.31/180.70 # Termbank termtop insertions : 213968766
% 1403.31/180.70
% 1403.31/180.70 # -------------------------------------------------
% 1403.31/180.70 # User time : 172.797 s
% 1403.31/180.70 # System time : 1.972 s
% 1403.31/180.70 # Total time : 174.769 s
% 1403.31/180.70 # Maximum resident set size: 2036 pages
% 1403.31/180.70
% 1403.31/180.70 # -------------------------------------------------
% 1403.31/180.70 # User time : 172.797 s
% 1403.31/180.70 # System time : 1.982 s
% 1403.31/180.70 # Total time : 174.779 s
% 1403.31/180.70 # Maximum resident set size: 1728 pages
% 1403.31/180.70 % E---3.1 exiting
% 1403.31/180.70 % E---3.1 exiting
%------------------------------------------------------------------------------