TSTP Solution File: SET805+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:54:28 EDT 2022
% Result : Theorem 0.11s 1.31s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 157 ( 9 unt; 0 def)
% Number of atoms : 953 ( 40 equ)
% Maximal formula atoms : 256 ( 6 avg)
% Number of connectives : 1103 ( 307 ~; 696 |; 81 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 301 ( 6 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV17,conjecture,
! [X6,X4] :
( order(X6,X4)
=> ! [X3] :
( subset(X3,X4)
=> order(X6,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thIV17) ).
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(order,axiom,
! [X6,X4] :
( order(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X4] :
( order(X6,X4)
=> ! [X3] :
( subset(X3,X4)
=> order(X6,X3) ) ),
inference(assume_negation,[status(cth)],[thIV17]) ).
fof(c_0_4,plain,
! [X4,X6] :
( epred1_2(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
introduced(definition) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk4_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( order(esk1_0,esk2_0)
& subset(esk3_0,esk2_0)
& ~ order(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_7,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X8,X9] :
( ( ~ member(X10,X8)
| apply(X9,X10,X10)
| ~ epred1_2(X9,X8) )
& ( ~ member(X11,X8)
| ~ member(X12,X8)
| ~ apply(X9,X11,X12)
| ~ apply(X9,X12,X11)
| X11 = X12
| ~ epred1_2(X9,X8) )
& ( ~ member(X13,X8)
| ~ member(X14,X8)
| ~ member(X15,X8)
| ~ apply(X9,X13,X14)
| ~ apply(X9,X14,X15)
| apply(X9,X13,X15)
| ~ epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| member(esk5_2(X8,X9),X8)
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk6_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| member(esk7_2(X8,X9),X8)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk6_2(X8,X9),esk7_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| apply(X9,esk7_2(X8,X9),esk6_2(X8,X9))
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk8_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk9_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( member(esk10_2(X8,X9),X8)
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk8_2(X8,X9),esk9_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( apply(X9,esk9_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) )
& ( ~ apply(X9,esk8_2(X8,X9),esk10_2(X8,X9))
| esk6_2(X8,X9) != esk7_2(X8,X9)
| ~ apply(X9,esk5_2(X8,X9),esk5_2(X8,X9))
| epred1_2(X9,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
cnf(c_0_8,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
subset(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X3,X5)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( epred1_2(X1,X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_25,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_26,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_27,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| esk7_2(X2,X1) != esk6_2(X2,X1)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_29,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_30,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_31,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,X3,esk10_2(X2,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_42,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk10_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_43,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk9_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_44,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| esk7_2(X2,X1) != esk6_2(X2,X1)
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_46,plain,
( epred1_2(X1,esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_47,plain,
( epred1_2(X1,esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_48,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_49,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_50,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_51,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_52,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_53,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_54,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_55,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk9_2(X2,X1),esk10_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_56,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_57,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_58,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_59,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_60,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_27]) ).
cnf(c_0_61,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_62,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_63,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_64,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_65,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_66,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_32]) ).
cnf(c_0_67,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_33]) ).
cnf(c_0_68,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_69,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_70,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_35]) ).
cnf(c_0_71,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_72,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_73,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_74,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_38]) ).
cnf(c_0_75,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_76,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_40]) ).
cnf(c_0_77,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_78,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_79,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| apply(X1,X2,esk10_2(esk3_0,X1))
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_80,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk8_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_44]) ).
cnf(c_0_81,plain,
( epred1_2(X1,X2)
| apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_82,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_83,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_84,plain,
( epred1_2(X1,esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_48]) ).
cnf(c_0_85,plain,
( epred1_2(X1,X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| esk6_2(X2,X1) != esk7_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_86,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,X3,esk10_2(X2,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_49]) ).
cnf(c_0_87,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk10_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_50]) ).
cnf(c_0_88,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk9_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_51]) ).
cnf(c_0_89,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_90,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk7_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_52]) ).
cnf(c_0_91,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_53]) ).
cnf(c_0_92,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_54]) ).
cnf(c_0_93,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_94,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk6_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,X3,esk9_2(X2,X1))
| ~ member(esk9_2(X2,X1),X4)
| ~ member(esk10_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_55]) ).
cnf(c_0_95,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_56]) ).
cnf(c_0_96,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_57]) ).
cnf(c_0_97,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_98,axiom,
! [X6,X4] :
( order(X6,X4)
<=> epred1_2(X6,X4) ),
inference(apply_def,[status(thm)],[order,c_0_4]) ).
cnf(c_0_99,plain,
( X3 = X4
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_100,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_101,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_102,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_103,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_104,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_69]) ).
cnf(c_0_105,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_106,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_107,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_108,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_73]) ).
cnf(c_0_109,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_110,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_111,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_112,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_77]) ).
cnf(c_0_113,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_114,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_115,plain,
( epred1_2(X1,esk3_0)
| esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_116,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_117,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| apply(X1,X2,esk10_2(esk3_0,X1))
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_118,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk8_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_89]) ).
cnf(c_0_119,plain,
( epred1_2(X1,X2)
| apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_120,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_121,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk7_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_122,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_93]) ).
cnf(c_0_123,plain,
( epred1_2(X1,X2)
| member(esk7_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_124,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_125,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk6_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_126,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_97]) ).
cnf(c_0_127,plain,
( epred1_2(X1,X2)
| member(esk6_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_128,plain,
! [X7,X8,X7,X8] :
( ( ~ order(X7,X8)
| epred1_2(X7,X8) )
& ( ~ epred1_2(X7,X8)
| order(X7,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])])]) ).
cnf(c_0_129,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ epred1_2(X1,X2)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_130,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]) ).
cnf(c_0_131,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]) ).
cnf(c_0_132,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_133,plain,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ epred1_2(X1,X2)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_114]),c_0_115]) ).
cnf(c_0_134,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_135,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_136,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_127]) ).
cnf(c_0_137,negated_conjecture,
~ order(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_138,plain,
( order(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_139,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ epred1_2(X1,X2)
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk2_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_131]) ).
cnf(c_0_141,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk2_0)
| ~ epred1_2(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_132]) ).
cnf(c_0_142,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_143,negated_conjecture,
order(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_144,plain,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ epred1_2(X1,X2)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk2_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_135]) ).
cnf(c_0_146,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk2_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_136]) ).
cnf(c_0_147,negated_conjecture,
~ epred1_2(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_148,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_149,negated_conjecture,
epred1_2(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_150,negated_conjecture,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk2_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_151,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_152,negated_conjecture,
member(esk5_2(esk3_0,esk1_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_153,negated_conjecture,
~ apply(esk1_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_150]),c_0_149])]) ).
cnf(c_0_154,plain,
( apply(esk1_0,X1,X1)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_149]) ).
cnf(c_0_155,negated_conjecture,
member(esk5_2(esk3_0,esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_12,c_0_152]) ).
cnf(c_0_156,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.08 % Command : run_ET %s %d
% 0.07/0.26 % Computer : n027.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sat Jul 9 23:52:32 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/1.31 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.11/1.31 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.11/1.31 # Preprocessing time : 0.010 s
% 0.11/1.31
% 0.11/1.31 # Proof found!
% 0.11/1.31 # SZS status Theorem
% 0.11/1.31 # SZS output start CNFRefutation
% See solution above
% 0.11/1.31 # Proof object total steps : 157
% 0.11/1.31 # Proof object clause steps : 147
% 0.11/1.31 # Proof object formula steps : 10
% 0.11/1.31 # Proof object conjectures : 18
% 0.11/1.31 # Proof object clause conjectures : 15
% 0.11/1.31 # Proof object formula conjectures : 3
% 0.11/1.31 # Proof object initial clauses used : 69
% 0.11/1.31 # Proof object initial formulas used : 3
% 0.11/1.31 # Proof object generating inferences : 78
% 0.11/1.31 # Proof object simplifying inferences : 40
% 0.11/1.31 # Training examples: 0 positive, 0 negative
% 0.11/1.31 # Parsed axioms : 22
% 0.11/1.31 # Removed by relevancy pruning/SinE : 19
% 0.11/1.31 # Initial clauses : 71
% 0.11/1.31 # Removed in clause preprocessing : 0
% 0.11/1.31 # Initial clauses in saturation : 71
% 0.11/1.31 # Processed clauses : 283
% 0.11/1.31 # ...of these trivial : 0
% 0.11/1.31 # ...subsumed : 72
% 0.11/1.31 # ...remaining for further processing : 211
% 0.11/1.31 # Other redundant clauses eliminated : 0
% 0.11/1.31 # Clauses deleted for lack of memory : 0
% 0.11/1.31 # Backward-subsumed : 51
% 0.11/1.31 # Backward-rewritten : 6
% 0.11/1.31 # Generated clauses : 839
% 0.11/1.31 # ...of the previous two non-trivial : 617
% 0.11/1.31 # Contextual simplify-reflections : 312
% 0.11/1.31 # Paramodulations : 839
% 0.11/1.31 # Factorizations : 0
% 0.11/1.31 # Equation resolutions : 0
% 0.11/1.31 # Current number of processed clauses : 154
% 0.11/1.31 # Positive orientable unit clauses : 6
% 0.11/1.31 # Positive unorientable unit clauses: 0
% 0.11/1.31 # Negative unit clauses : 3
% 0.11/1.31 # Non-unit-clauses : 145
% 0.11/1.31 # Current number of unprocessed clauses: 140
% 0.11/1.31 # ...number of literals in the above : 1330
% 0.11/1.31 # Current number of archived formulas : 0
% 0.11/1.31 # Current number of archived clauses : 57
% 0.11/1.31 # Clause-clause subsumption calls (NU) : 16278
% 0.11/1.31 # Rec. Clause-clause subsumption calls : 2026
% 0.11/1.31 # Non-unit clause-clause subsumptions : 435
% 0.11/1.31 # Unit Clause-clause subsumption calls : 332
% 0.11/1.31 # Rewrite failures with RHS unbound : 0
% 0.11/1.31 # BW rewrite match attempts : 4
% 0.11/1.31 # BW rewrite match successes : 1
% 0.11/1.31 # Condensation attempts : 0
% 0.11/1.31 # Condensation successes : 0
% 0.11/1.31 # Termbank termtop insertions : 39255
% 0.11/1.31
% 0.11/1.31 # -------------------------------------------------
% 0.11/1.31 # User time : 0.037 s
% 0.11/1.31 # System time : 0.002 s
% 0.11/1.31 # Total time : 0.039 s
% 0.11/1.31 # Maximum resident set size: 3656 pages
% 0.11/23.30 eprover: CPU time limit exceeded, terminating
% 0.11/23.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.32 eprover: No such file or directory
% 0.11/23.32 eprover: CPU time limit exceeded, terminating
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.33 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.34 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.35 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.36 eprover: No such file or directory
% 0.11/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.37 eprover: No such file or directory
% 0.11/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.37 eprover: No such file or directory
% 0.11/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.11/23.37 eprover: No such file or directory
% 0.11/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.38 eprover: No such file or directory
% 0.11/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.11/23.38 eprover: No such file or directory
%------------------------------------------------------------------------------