%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 00:53:50 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 131 ( 9 unt; 0 def)
% Number of atoms : 775 ( 0 equ)
% Maximal formula atoms : 207 ( 5 avg)
% Number of connectives : 898 ( 254 ~; 558 |; 69 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 253 ( 6 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII01,conjecture,
! [X4,X7,X3] :
( ( equivalence(X7,X4)
& subset(X3,X4) )
=> equivalence(X7,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thIII01) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',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/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X7,X3] :
( ( equivalence(X7,X4)
& subset(X3,X4) )
=> equivalence(X7,X3) ),
inference(assume_negation,[status(cth)],[thIII01]) ).
fof(c_0_4,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) ).
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,
( equivalence(esk2_0,esk1_0)
& subset(esk3_0,esk1_0)
& ~ equivalence(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[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)
| ~ 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)
| 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) ) ),
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,esk1_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,esk1_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))
| ~ apply(X1,esk7_2(X2,X1),esk6_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)
| ~ apply(X1,esk7_2(X2,X1),esk6_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)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,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_19,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_20,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_21,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_22,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_23,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_24,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_25,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_26,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_27,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))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( epred1_2(X1,X2)
| member(esk10_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,plain,
( epred1_2(X1,X2)
| member(esk9_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,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_31,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_32,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_33,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_34,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_35,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_36,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_37,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_38,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_39,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_40,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| member(esk5_2(X2,X1),X2)
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk7_2(X2,X1),esk6_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_15]) ).
cnf(c_0_41,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_42,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_43,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_44,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_18]) ).
cnf(c_0_45,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_46,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_47,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_48,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_21]) ).
cnf(c_0_49,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_50,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_51,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_52,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_24]) ).
cnf(c_0_53,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_54,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_55,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_56,plain,
( epred1_2(X1,X2)
| apply(X1,X3,esk10_2(X2,X1))
| ~ epred1_2(X1,X4)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_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_27]) ).
cnf(c_0_57,plain,
( epred1_2(X1,esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_58,plain,
( epred1_2(X1,esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_59,plain,
( epred1_2(X1,X2)
| member(esk8_2(X2,X1),X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_60,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_30]) ).
cnf(c_0_61,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_62,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
cnf(c_0_63,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_64,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_33]) ).
cnf(c_0_65,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk10_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_66,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk9_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_67,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_68,axiom,
! [X1,X7] :
( equivalence(X7,X1)
<=> epred1_2(X7,X1) ),
inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).
cnf(c_0_69,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_70,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,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_71,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_72,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_73,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_74,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_75,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_43]) ).
cnf(c_0_76,plain,
( epred1_2(X1,X2)
| member(esk5_2(X2,X1),X2)
| apply(X1,esk8_2(X2,X1),esk9_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_77,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_78,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,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_79,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_47]) ).
cnf(c_0_80,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_81,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_82,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,esk1_0)
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_83,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),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_51]) ).
cnf(c_0_84,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_85,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_86,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,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_87,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_55]) ).
cnf(c_0_88,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_89,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
| ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_90,plain,
( epred1_2(X1,esk3_0)
| apply(X1,X2,esk10_2(esk3_0,X1))
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_91,plain,
( epred1_2(X1,esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_59]) ).
cnf(c_0_92,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))
| ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_93,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_94,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,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_95,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_63]) ).
cnf(c_0_96,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_97,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_98,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,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,X2,esk9_2(esk3_0,X1))
| ~ member(X2,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_99,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| member(esk8_2(esk3_0,X1),esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_67]) ).
cnf(c_0_100,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_101,plain,
! [X8,X9,X8,X9] :
( ( ~ equivalence(X9,X8)
| epred1_2(X9,X8) )
& ( ~ epred1_2(X9,X8)
| equivalence(X9,X8) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
cnf(c_0_102,plain,
( apply(X1,X3,X4)
| ~ epred1_2(X1,X2)
| ~ apply(X1,X4,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_103,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,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]) ).
cnf(c_0_104,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_105,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,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_106,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,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]) ).
cnf(c_0_107,plain,
( epred1_2(X1,esk3_0)
| apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
| ~ epred1_2(X1,esk1_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_85,c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_108,plain,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1))
| ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_109,plain,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_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_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_110,plain,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_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_97,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_111,negated_conjecture,
~ equivalence(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_112,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_113,plain,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ epred1_2(X1,X2)
| ~ member(esk6_2(esk3_0,X1),X2)
| ~ member(esk7_2(esk3_0,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_114,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk7_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_105]) ).
cnf(c_0_115,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| member(esk6_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_106]) ).
cnf(c_0_116,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_117,negated_conjecture,
equivalence(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_118,plain,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk1_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_107]),c_0_108]) ).
cnf(c_0_119,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk7_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk6_2(esk3_0,X1),esk1_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_110]) ).
cnf(c_0_121,negated_conjecture,
~ epred1_2(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_122,negated_conjecture,
( epred1_2(X1,esk3_0)
| member(esk5_2(esk3_0,X1),esk3_0)
| ~ epred1_2(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_123,negated_conjecture,
epred1_2(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,negated_conjecture,
( epred1_2(X1,esk3_0)
| ~ epred1_2(X1,esk1_0)
| ~ apply(X1,esk5_2(esk3_0,X1),esk5_2(esk3_0,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_125,plain,
( apply(X1,X3,X3)
| ~ epred1_2(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_126,negated_conjecture,
member(esk5_2(esk3_0,esk2_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_127,negated_conjecture,
~ apply(esk2_0,esk5_2(esk3_0,esk2_0),esk5_2(esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_124]),c_0_123])]) ).
cnf(c_0_128,plain,
( apply(esk2_0,X1,X1)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_123]) ).
cnf(c_0_129,negated_conjecture,
member(esk5_2(esk3_0,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_126]) ).
cnf(c_0_130,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 01:10:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.016 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 131
% 0.24/1.42 # Proof object clause steps : 121
% 0.24/1.42 # Proof object formula steps : 10
% 0.24/1.42 # Proof object conjectures : 18
% 0.24/1.42 # Proof object clause conjectures : 15
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 57
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 64
% 0.24/1.42 # Proof object simplifying inferences : 34
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 17
% 0.24/1.42 # Removed by relevancy pruning/SinE : 14
% 0.24/1.42 # Initial clauses : 59
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 59
% 0.24/1.42 # Processed clauses : 316
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 126
% 0.24/1.42 # ...remaining for further processing : 190
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 55
% 0.24/1.42 # Backward-rewritten : 8
% 0.24/1.42 # Generated clauses : 884
% 0.24/1.42 # ...of the previous two non-trivial : 569
% 0.24/1.42 # Contextual simplify-reflections : 493
% 0.24/1.42 # Paramodulations : 884
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 127
% 0.24/1.42 # Positive orientable unit clauses : 6
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 3
% 0.24/1.42 # Non-unit-clauses : 118
% 0.24/1.42 # Current number of unprocessed clauses: 145
% 0.24/1.42 # ...number of literals in the above : 1286
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 63
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 21140
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 3028
% 0.24/1.42 # Non-unit clause-clause subsumptions : 674
% 0.24/1.42 # Unit Clause-clause subsumption calls : 284
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 4
% 0.24/1.42 # BW rewrite match successes : 1
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 37532
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.064 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.070 s
% 0.24/1.42 # Maximum resident set size: 3352 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: CPU time limit exceeded, terminating
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.51 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.51 eprover: No such file or directory
% 0.24/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.52 eprover: No such file or directory
% 0.24/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------