TSTP Solution File: SYO605+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 : Thu Jul 21 16:00:38 EDT 2022
% Result : Theorem 0.22s 3.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 7
% Syntax : Number of formulae : 204 ( 26 unt; 0 def)
% Number of atoms : 1612 ( 0 equ)
% Maximal formula atoms : 304 ( 7 avg)
% Number of connectives : 1792 ( 384 ~;1241 |; 160 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 258 ( 11 sgn 49 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nc4,conjecture,
( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) )
| ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) )
& ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) )
& ~ ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nc4) ).
fof(exhaustion_g,axiom,
! [X4,X5] :
( g_true_only(X4,X5)
| g_both(X4,X5)
| g_false_only(X4,X5) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exhaustion_g) ).
fof(true_only_g,axiom,
! [X4,X5] :
( g_true_only(X4,X5)
<=> ( g_true(X4,X5)
& ~ g_false(X4,X5) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',true_only_g) ).
fof(both_g,axiom,
! [X4,X5] :
( g_both(X4,X5)
<=> ( g_true(X4,X5)
& g_false(X4,X5) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',both_g) ).
fof(false_only_g,axiom,
! [X4,X5] :
( g_false_only(X4,X5)
<=> ( g_false(X4,X5)
& ~ g_true(X4,X5) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',false_only_g) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred2_0
<=> ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) )
| ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) )
| ( epred1_0
& epred2_0
& ~ ? [X2] :
! [X1] :
? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[nc4]),c_0_5]),c_0_6]) ).
fof(c_0_8,negated_conjecture,
! [X5,X5,X5,X6,X8,X8,X8,X10] :
( ( ~ g_both(X5,X5)
| ~ g_true_only(X5,esk1_0) )
& ( ~ g_false_only(X5,X5)
| ~ g_true_only(X5,esk1_0) )
& ( ~ g_true_only(X5,X5)
| ~ g_both(X5,esk1_0) )
& ( ~ g_false_only(X5,X5)
| ~ g_both(X5,esk1_0) )
& ( ~ g_true_only(X5,X5)
| ~ g_false_only(X5,esk1_0) )
& ( ~ g_both(X5,X5)
| ~ g_false_only(X5,esk1_0) )
& ( ~ g_both(X8,X6)
| ~ g_true_only(X8,esk2_1(X6)) )
& ( ~ g_true_only(X8,X6)
| ~ g_true_only(X8,esk2_1(X6)) )
& ( ~ g_false_only(X8,X6)
| ~ g_both(X8,esk2_1(X6)) )
& ( ~ g_true_only(X8,X6)
| ~ g_both(X8,esk2_1(X6)) )
& ( ~ g_false_only(X8,X6)
| ~ g_false_only(X8,esk2_1(X6)) )
& ( ~ g_both(X8,X6)
| ~ g_false_only(X8,esk2_1(X6)) )
& ( g_false_only(esk6_1(X10),X10)
| g_both(esk5_1(X10),X10)
| g_true_only(esk4_1(X10),X10)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),esk3_0)
| g_both(esk6_1(X10),esk3_0)
| g_both(esk5_1(X10),X10)
| g_true_only(esk4_1(X10),X10)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),X10)
| g_false_only(esk5_1(X10),esk3_0)
| g_true_only(esk5_1(X10),esk3_0)
| g_true_only(esk4_1(X10),X10)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),esk3_0)
| g_both(esk6_1(X10),esk3_0)
| g_false_only(esk5_1(X10),esk3_0)
| g_true_only(esk5_1(X10),esk3_0)
| g_true_only(esk4_1(X10),X10)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),X10)
| g_both(esk5_1(X10),X10)
| g_both(esk4_1(X10),esk3_0)
| g_true_only(esk4_1(X10),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),esk3_0)
| g_both(esk6_1(X10),esk3_0)
| g_both(esk5_1(X10),X10)
| g_both(esk4_1(X10),esk3_0)
| g_true_only(esk4_1(X10),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),X10)
| g_false_only(esk5_1(X10),esk3_0)
| g_true_only(esk5_1(X10),esk3_0)
| g_both(esk4_1(X10),esk3_0)
| g_true_only(esk4_1(X10),esk3_0)
| ~ epred1_0
| ~ epred2_0 )
& ( g_false_only(esk6_1(X10),esk3_0)
| g_both(esk6_1(X10),esk3_0)
| g_false_only(esk5_1(X10),esk3_0)
| g_true_only(esk5_1(X10),esk3_0)
| g_both(esk4_1(X10),esk3_0)
| g_true_only(esk4_1(X10),esk3_0)
| ~ epred1_0
| ~ epred2_0 ) ),
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_7])])])])])])]) ).
fof(c_0_9,plain,
! [X6,X7] :
( g_true_only(X6,X7)
| g_both(X6,X7)
| g_false_only(X6,X7) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_10,negated_conjecture,
( ~ g_true_only(X1,esk2_1(X2))
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ g_both(X1,esk2_1(X2))
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( g_false_only(X1,esk2_1(X2))
| ~ g_true_only(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( g_false_only(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( g_false_only(X1,esk2_1(X2))
| g_false_only(X1,X2)
| g_both(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( g_false_only(esk2_1(X1),esk1_0)
| g_false_only(esk2_1(X1),X1)
| g_both(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( g_false_only(X1,X1)
| ~ g_false_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( g_false_only(esk2_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk1_0) ),
inference(ef,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
( ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_true_only(X2,X2)
| g_false_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_true_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_true_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_false_only(X2,X2) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
( ~ g_false_only(X1,esk2_1(X2))
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( g_false_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X6,X7,X6,X7] :
( ( g_true(X6,X7)
| ~ g_true_only(X6,X7) )
& ( ~ g_false(X6,X7)
| ~ g_true_only(X6,X7) )
& ( ~ g_true(X6,X7)
| g_false(X6,X7)
| g_true_only(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[true_only_g])])])])])]) ).
fof(c_0_28,plain,
! [X6,X7,X6,X7] :
( ( g_true(X6,X7)
| ~ g_both(X6,X7) )
& ( g_false(X6,X7)
| ~ g_both(X6,X7) )
& ( ~ g_true(X6,X7)
| ~ g_false(X6,X7)
| g_both(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])])])]) ).
fof(c_0_29,plain,
! [X3,X4,X7] :
( ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_true_only(esk7_1(X3),X3)
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_both(esk8_1(X3),X3)
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_false_only(esk9_1(X3),X3)
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,esk10_0)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,esk10_0)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 )
& ( g_false_only(X7,X7)
| g_true_only(X7,X7)
| g_true_only(esk9_1(X3),esk9_1(X3))
| g_both(esk9_1(X3),esk9_1(X3))
| g_true_only(esk8_1(X3),esk8_1(X3))
| g_false_only(esk8_1(X3),esk8_1(X3))
| g_both(esk7_1(X3),esk7_1(X3))
| g_false_only(esk7_1(X3),esk7_1(X3))
| ~ g_both(X4,X3)
| ~ g_both(X4,X4)
| epred1_0 ) ),
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_23])])])])])])]) ).
cnf(c_0_30,negated_conjecture,
( g_both(X1,X1)
| ~ g_both(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_14]) ).
cnf(c_0_31,negated_conjecture,
g_both(esk2_1(esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]) ).
fof(c_0_32,plain,
! [X6,X7,X6,X7] :
( ( g_false(X6,X7)
| ~ g_false_only(X6,X7) )
& ( ~ g_true(X6,X7)
| ~ g_false_only(X6,X7) )
& ( ~ g_false(X6,X7)
| g_true(X6,X7)
| g_false_only(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[false_only_g])])])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ g_both(X1,esk2_1(X2))
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( ~ g_true_only(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( g_false(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( epred1_0
| g_true_only(esk7_1(X2),X2)
| g_both(esk8_1(X2),X2)
| g_false_only(esk9_1(X2),X2)
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( ~ g_false_only(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( g_true(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( g_false_only(esk2_1(esk2_1(X1)),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(X1)),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_33]) ).
cnf(c_0_41,plain,
( ~ g_both(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( epred1_0
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_37])]) ).
cnf(c_0_43,plain,
( ~ g_false_only(X1,X2)
| ~ g_both(X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
| g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
| g_both(esk2_1(esk2_1(esk2_1(X1))),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_45,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,negated_conjecture,
( ~ g_true_only(X1,esk2_1(X2))
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,negated_conjecture,
( ~ g_false_only(X1,esk2_1(X2))
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48,plain,
( epred1_0
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( g_both(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_11]),c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( g_both(X1,esk2_1(X2))
| ~ g_both(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_11]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( epred1_0
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0))))
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( g_both(esk2_1(X1),esk1_0)
| ~ g_both(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( epred1_0
| g_true_only(esk7_1(X2),X2)
| g_both(esk8_1(X2),X2)
| g_both(esk9_1(X2),esk9_1(X2))
| g_true_only(esk9_1(X2),esk9_1(X2))
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_56,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(esk9_1(esk1_0),esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( g_both(esk2_1(esk2_1(X1)),esk1_0)
| ~ g_both(esk2_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_59,plain,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk9_1(esk1_0),esk9_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_31]),c_0_37])]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0))
| g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_17]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_59]),c_0_52]) ).
cnf(c_0_62,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_60]),c_0_49]) ).
cnf(c_0_63,plain,
( epred1_0
| g_true_only(esk7_1(X2),X2)
| g_false_only(esk8_1(X2),esk8_1(X2))
| g_true_only(esk8_1(X2),esk8_1(X2))
| g_false_only(esk9_1(X2),X2)
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_61]),c_0_43]) ).
cnf(c_0_65,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_30,c_0_62]) ).
cnf(c_0_66,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_31]),c_0_37])]) ).
cnf(c_0_67,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_66]),c_0_43]) ).
cnf(c_0_69,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,plain,
( epred1_0
| g_true_only(esk7_1(X2),X2)
| g_false_only(esk8_1(X2),esk8_1(X2))
| g_true_only(esk8_1(X2),esk8_1(X2))
| g_both(esk9_1(X2),esk9_1(X2))
| g_true_only(esk9_1(X2),esk9_1(X2))
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(esk9_1(esk1_0),esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_70]) ).
cnf(c_0_73,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk9_1(esk1_0),esk9_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_31]),c_0_37])]),c_0_72]) ).
cnf(c_0_74,plain,
( epred1_0
| g_false_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk8_1(X2),X2)
| g_false_only(esk9_1(X2),X2)
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_75,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_70]) ).
cnf(c_0_76,plain,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_31]),c_0_37])]) ).
cnf(c_0_77,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_75]),c_0_67]) ).
cnf(c_0_78,plain,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk8_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_76]),c_0_43]) ).
cnf(c_0_79,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_true_only(esk7_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_77]),c_0_67]) ).
cnf(c_0_80,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk8_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( epred1_0
| g_true_only(esk7_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_79]),c_0_43]) ).
cnf(c_0_82,plain,
( epred1_0
| g_false_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_both(esk8_1(X2),X2)
| g_both(esk9_1(X2),esk9_1(X2))
| g_true_only(esk9_1(X2),esk9_1(X2))
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_83,negated_conjecture,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk8_1(esk1_0),esk1_0)
| ~ g_both(esk9_1(esk1_0),esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( epred1_0
| g_true_only(esk7_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_69]) ).
cnf(c_0_85,plain,
( epred1_0
| g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk7_1(esk1_0),esk7_1(esk1_0))
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(esk9_1(esk1_0),esk9_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_31]),c_0_37])]),c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( epred1_0
| ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( epred1_0
| ~ g_false_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_both(esk8_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_85]),c_0_80]),c_0_86]),c_0_87]) ).
fof(c_0_89,plain,
( ? [X2] :
( ? [X1] :
( ? [X3] :
( g_both(X3,X1)
& g_both(X3,X2) )
& ~ ? [X3] :
( ( g_true_only(X3,X1)
& ( g_both(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_both(X3,X1)
& ( g_false_only(X3,X2)
| g_true_only(X3,X2) ) )
| ( g_false_only(X3,X1)
& ( g_false_only(X3,X2)
| g_both(X3,X2) ) ) ) )
& ~ ? [X1] :
! [X3] :
( ( g_true_only(X3,X1)
& g_false_only(X3,X2) )
| ( g_false_only(X3,X1)
& g_true_only(X3,X2) ) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_90,plain,
( epred1_0
| g_false_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_false_only(esk8_1(X2),esk8_1(X2))
| g_true_only(esk8_1(X2),esk8_1(X2))
| g_false_only(esk9_1(X2),X2)
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_91,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk1_0)
| ~ g_both(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_88]),c_0_14]) ).
cnf(c_0_92,negated_conjecture,
( g_both(X1,X2)
| ~ g_both(X1,esk2_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_17]),c_0_33]) ).
fof(c_0_93,plain,
! [X4,X5,X6,X9] :
( ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_both(esk12_2(X4,X5),X5)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X5)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_true_only(X9,esk14_1(X4))
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_false_only(X9,esk14_1(X4))
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 )
& ( g_true_only(X9,X4)
| g_false_only(X9,X4)
| g_false_only(esk13_2(X4,X5),X4)
| g_both(esk13_2(X4,X5),X4)
| g_false_only(esk12_2(X4,X5),X4)
| g_true_only(esk12_2(X4,X5),X4)
| g_both(esk11_2(X4,X5),X4)
| g_true_only(esk11_2(X4,X5),X4)
| ~ g_both(X6,X5)
| ~ g_both(X6,X4)
| epred2_0 ) ),
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_89])])])])])])]) ).
cnf(c_0_94,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_62]),c_0_65])]),c_0_86]),c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_62]) ).
cnf(c_0_96,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
inference(spm,[status(thm)],[c_0_92,c_0_65]) ).
cnf(c_0_97,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X3)
| g_both(esk12_2(X2,X3),X3)
| g_false_only(esk13_2(X2,X3),X3)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( g_true_only(esk4_1(X1),X1)
| g_both(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_99,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_94]),c_0_43]) ).
cnf(c_0_100,negated_conjecture,
( epred1_0
| g_both(esk8_1(esk1_0),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_92,c_0_96]) ).
cnf(c_0_102,plain,
( epred2_0
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X2,X1)
| g_both(esk12_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_37]) ).
cnf(c_0_103,negated_conjecture,
( g_both(esk5_1(esk2_1(X1)),esk2_1(X1))
| g_true_only(esk4_1(esk2_1(X1)),esk2_1(X1))
| ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( g_true_only(esk4_1(X1),X1)
| g_both(esk5_1(X1),X1)
| g_both(esk6_1(X1),esk3_0)
| g_false_only(esk6_1(X1),esk3_0)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_105,negated_conjecture,
( g_both(esk5_1(esk2_1(X1)),esk2_1(X1))
| g_true_only(esk4_1(esk2_1(X1)),esk2_1(X1))
| ~ epred2_0
| ~ epred1_0
| ~ g_both(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_98]) ).
cnf(c_0_106,plain,
( epred1_0
| g_false_only(esk7_1(X2),esk7_1(X2))
| g_both(esk7_1(X2),esk7_1(X2))
| g_false_only(esk8_1(X2),esk8_1(X2))
| g_true_only(esk8_1(X2),esk8_1(X2))
| g_both(esk9_1(X2),esk9_1(X2))
| g_true_only(esk9_1(X2),esk9_1(X2))
| g_true_only(X3,X3)
| g_false_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_107,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(esk9_1(esk1_0),esk1_0)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]) ).
cnf(c_0_110,negated_conjecture,
~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
( g_true_only(esk4_1(X1),X1)
| g_true_only(esk5_1(X1),esk3_0)
| g_false_only(esk5_1(X1),esk3_0)
| g_false_only(esk6_1(X1),X1)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_112,negated_conjecture,
( g_both(esk5_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| g_true_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_113,plain,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk9_1(esk1_0),esk9_1(esk1_0))
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk9_1(esk1_0),esk9_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_62]),c_0_65])]),c_0_86]),c_0_87]) ).
cnf(c_0_114,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| ~ g_both(esk9_1(esk1_0),esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_107]) ).
cnf(c_0_115,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X3)
| g_both(esk12_2(X2,X3),X3)
| g_both(esk13_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X2)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_116,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( g_true_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk5_1(X1),X1)
| g_false_only(esk6_1(X1),X1)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_118,negated_conjecture,
( g_false_only(esk5_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk2_1(X1))
| g_true_only(esk5_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
( g_true_only(esk4_1(X1),X1)
| g_true_only(esk5_1(X1),esk3_0)
| g_false_only(esk5_1(X1),esk3_0)
| g_both(esk6_1(X1),esk3_0)
| g_false_only(esk6_1(X1),esk3_0)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_120,negated_conjecture,
( g_false_only(esk5_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk2_1(X1))
| g_true_only(esk5_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_both(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
( g_true_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ epred2_0
| ~ epred1_0
| ~ g_true_only(esk5_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_112]) ).
cnf(c_0_122,negated_conjecture,
( g_true_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk5_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_112]) ).
cnf(c_0_123,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_113]),c_0_107]),c_0_114]) ).
cnf(c_0_124,plain,
( epred2_0
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk12_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_37]) ).
cnf(c_0_125,negated_conjecture,
( epred2_0
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_both(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_116]) ).
cnf(c_0_126,negated_conjecture,
( epred2_0
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_116]) ).
cnf(c_0_127,negated_conjecture,
( g_both(esk5_1(esk2_1(X1)),esk2_1(X1))
| g_both(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_117]) ).
cnf(c_0_128,negated_conjecture,
( g_true_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_both(esk5_1(X1),X1)
| g_both(esk6_1(X1),esk3_0)
| g_false_only(esk6_1(X1),esk3_0)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_129,negated_conjecture,
( g_both(esk5_1(esk2_1(X1)),esk2_1(X1))
| g_both(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_both(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_117]) ).
cnf(c_0_130,negated_conjecture,
( g_true_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]),c_0_122]) ).
cnf(c_0_131,negated_conjecture,
( epred1_0
| g_false_only(esk8_1(esk1_0),esk8_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_123]),c_0_95]) ).
cnf(c_0_132,negated_conjecture,
( epred2_0
| g_false_only(X1,esk1_0)
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_31]),c_0_125]),c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_44]),c_0_33]) ).
cnf(c_0_134,negated_conjecture,
( g_true_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_true_only(esk5_1(X1),esk3_0)
| g_false_only(esk5_1(X1),esk3_0)
| g_false_only(esk6_1(X1),X1)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_135,negated_conjecture,
( g_both(esk5_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| g_both(esk4_1(esk2_1(esk3_0)),esk3_0)
| g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0)
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_136,negated_conjecture,
( ~ epred2_0
| ~ epred1_0
| ~ g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( ~ epred2_0
| ~ epred1_0
| ~ g_both(esk4_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( epred1_0
| g_false_only(X1,X1)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_131]),c_0_95]) ).
cnf(c_0_139,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X3)
| g_true_only(esk12_2(X2,X3),X2)
| g_false_only(esk12_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X3)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_140,negated_conjecture,
( epred2_0
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_132]),c_0_110]) ).
cnf(c_0_141,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0)
| g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1)
| g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_17]) ).
cnf(c_0_142,negated_conjecture,
( g_false_only(esk5_1(esk2_1(X1)),esk3_0)
| g_both(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk5_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_134]) ).
cnf(c_0_143,negated_conjecture,
( g_true_only(esk4_1(X1),esk3_0)
| g_both(esk4_1(X1),esk3_0)
| g_true_only(esk5_1(X1),esk3_0)
| g_false_only(esk5_1(X1),esk3_0)
| g_both(esk6_1(X1),esk3_0)
| g_false_only(esk6_1(X1),esk3_0)
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_144,negated_conjecture,
( g_false_only(esk5_1(esk2_1(X1)),esk3_0)
| g_both(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk4_1(esk2_1(X1)),esk3_0)
| g_true_only(esk5_1(esk2_1(X1)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_both(esk6_1(esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
( g_both(esk4_1(esk2_1(esk3_0)),esk3_0)
| g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0)
| ~ epred2_0
| ~ epred1_0
| ~ g_true_only(esk5_1(esk2_1(esk3_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_135]) ).
cnf(c_0_146,negated_conjecture,
( ~ epred2_0
| ~ epred1_0
| ~ g_false_only(esk5_1(esk2_1(esk3_0)),esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_135]),c_0_136]),c_0_137]) ).
cnf(c_0_147,negated_conjecture,
( epred1_0
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_138]),c_0_43]) ).
cnf(c_0_148,plain,
( epred2_0
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_37]) ).
cnf(c_0_149,negated_conjecture,
( epred2_0
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_true_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_140]) ).
cnf(c_0_150,negated_conjecture,
( epred2_0
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_140]) ).
cnf(c_0_151,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
| g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
inference(ef,[status(thm)],[c_0_141]) ).
cnf(c_0_152,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_both(esk12_2(X2,X3),X3)
| g_false_only(esk13_2(X2,X3),X3)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_153,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]),c_0_136]),c_0_137]),c_0_146]) ).
cnf(c_0_154,negated_conjecture,
epred1_0,
inference(spm,[status(thm)],[c_0_147,c_0_100]) ).
cnf(c_0_155,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_31]),c_0_149]),c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))
| g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_151]) ).
cnf(c_0_157,plain,
( epred2_0
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X2,X1)
| g_both(esk12_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_37]) ).
cnf(c_0_158,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).
cnf(c_0_159,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_155]),c_0_110]) ).
cnf(c_0_160,negated_conjecture,
( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_31]) ).
cnf(c_0_162,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X3)
| g_true_only(esk12_2(X2,X3),X2)
| g_false_only(esk12_2(X2,X3),X2)
| g_both(esk13_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X2)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_163,negated_conjecture,
( g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[c_0_140,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
( g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
inference(sr,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_165,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk1_0))))
| g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_17]),c_0_58]) ).
cnf(c_0_166,negated_conjecture,
( epred2_0
| g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_161]),c_0_110]) ).
cnf(c_0_167,plain,
( g_false_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_101]),c_0_158]) ).
cnf(c_0_168,negated_conjecture,
( g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_true_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
( g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_both(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_164]) ).
cnf(c_0_171,negated_conjecture,
( g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| ~ g_false_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_163]) ).
cnf(c_0_172,negated_conjecture,
( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
| ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_165]) ).
cnf(c_0_173,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_both(esk12_2(X2,X3),X3)
| g_both(esk13_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X2)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_174,negated_conjecture,
( g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[c_0_166,c_0_158]) ).
cnf(c_0_175,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_62]),c_0_168]),c_0_169]),c_0_170]),c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0))
| g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_17]),c_0_92]) ).
cnf(c_0_177,plain,
( g_false_only(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk12_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_both(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_101]),c_0_158]) ).
cnf(c_0_178,negated_conjecture,
( g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_both(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_174]) ).
cnf(c_0_179,negated_conjecture,
( g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| ~ g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_174]) ).
cnf(c_0_180,negated_conjecture,
g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_175]),c_0_110]) ).
cnf(c_0_181,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_176]),c_0_151]) ).
cnf(c_0_182,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
| g_true_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_62]),c_0_178]),c_0_179]) ).
cnf(c_0_183,negated_conjecture,
~ g_true_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_10,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_46,c_0_180]) ).
cnf(c_0_185,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),
inference(spm,[status(thm)],[c_0_30,c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_true_only(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_187,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),
inference(spm,[status(thm)],[c_0_92,c_0_185]) ).
cnf(c_0_188,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_true_only(esk12_2(X2,X3),X2)
| g_false_only(esk12_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X3)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_189,negated_conjecture,
g_both(esk12_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_186]),c_0_110]) ).
cnf(c_0_190,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_92,c_0_187]) ).
cnf(c_0_191,plain,
( g_false_only(esk13_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk2_1(esk2_1(esk1_0))),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_101]),c_0_158]) ).
cnf(c_0_192,negated_conjecture,
~ g_false_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_189]) ).
cnf(c_0_193,negated_conjecture,
~ g_true_only(esk12_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_189]) ).
cnf(c_0_194,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk1_0))),
inference(spm,[status(thm)],[c_0_92,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
( g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
| g_false_only(X1,esk1_0)
| g_true_only(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_62]),c_0_192]),c_0_184]),c_0_183]),c_0_193]) ).
cnf(c_0_196,plain,
( epred2_0
| g_true_only(esk11_2(X2,X3),X2)
| g_both(esk11_2(X2,X3),X2)
| g_true_only(esk12_2(X2,X3),X2)
| g_false_only(esk12_2(X2,X3),X2)
| g_both(esk13_2(X2,X3),X2)
| g_false_only(esk13_2(X2,X3),X2)
| g_false_only(X4,X2)
| g_true_only(X4,X2)
| ~ g_both(X1,X2)
| ~ g_both(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_197,negated_conjecture,
g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_92,c_0_194]) ).
cnf(c_0_198,negated_conjecture,
g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_195]),c_0_110]) ).
cnf(c_0_199,plain,
( g_false_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_false_only(X2,X1)
| g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_both(esk13_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk11_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(esk12_2(X1,esk2_1(esk1_0)),X1)
| g_true_only(X2,X1)
| ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_158]) ).
cnf(c_0_200,negated_conjecture,
~ g_false_only(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_25,c_0_198]) ).
cnf(c_0_201,negated_conjecture,
~ g_both(esk13_2(esk1_0,esk2_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_198]) ).
cnf(c_0_202,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_true_only(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_181]),c_0_192]),c_0_200]),c_0_184]),c_0_201]),c_0_183]),c_0_193]) ).
cnf(c_0_203,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_202]),c_0_192]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 21:26:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/3.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/3.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/3.41 # Preprocessing time : 0.030 s
% 0.22/3.41
% 0.22/3.41 # Proof found!
% 0.22/3.41 # SZS status Theorem
% 0.22/3.41 # SZS output start CNFRefutation
% See solution above
% 0.22/3.41 # Proof object total steps : 204
% 0.22/3.41 # Proof object clause steps : 187
% 0.22/3.41 # Proof object formula steps : 17
% 0.22/3.41 # Proof object conjectures : 147
% 0.22/3.41 # Proof object clause conjectures : 144
% 0.22/3.41 # Proof object formula conjectures : 3
% 0.22/3.41 # Proof object initial clauses used : 41
% 0.22/3.41 # Proof object initial formulas used : 5
% 0.22/3.41 # Proof object generating inferences : 141
% 0.22/3.41 # Proof object simplifying inferences : 108
% 0.22/3.41 # Training examples: 0 positive, 0 negative
% 0.22/3.41 # Parsed axioms : 5
% 0.22/3.41 # Removed by relevancy pruning/SinE : 0
% 0.22/3.41 # Initial clauses : 94
% 0.22/3.41 # Removed in clause preprocessing : 0
% 0.22/3.41 # Initial clauses in saturation : 94
% 0.22/3.41 # Processed clauses : 3627
% 0.22/3.41 # ...of these trivial : 45
% 0.22/3.41 # ...subsumed : 1417
% 0.22/3.41 # ...remaining for further processing : 2165
% 0.22/3.41 # Other redundant clauses eliminated : 0
% 0.22/3.41 # Clauses deleted for lack of memory : 0
% 0.22/3.41 # Backward-subsumed : 570
% 0.22/3.41 # Backward-rewritten : 169
% 0.22/3.41 # Generated clauses : 16609
% 0.22/3.41 # ...of the previous two non-trivial : 15767
% 0.22/3.41 # Contextual simplify-reflections : 2879
% 0.22/3.41 # Paramodulations : 16535
% 0.22/3.41 # Factorizations : 50
% 0.22/3.41 # Equation resolutions : 0
% 0.22/3.41 # Current number of processed clauses : 1402
% 0.22/3.41 # Positive orientable unit clauses : 51
% 0.22/3.41 # Positive unorientable unit clauses: 0
% 0.22/3.41 # Negative unit clauses : 84
% 0.22/3.41 # Non-unit-clauses : 1267
% 0.22/3.41 # Current number of unprocessed clauses: 7708
% 0.22/3.41 # ...number of literals in the above : 55724
% 0.22/3.41 # Current number of archived formulas : 0
% 0.22/3.41 # Current number of archived clauses : 763
% 0.22/3.41 # Clause-clause subsumption calls (NU) : 2267283
% 0.22/3.41 # Rec. Clause-clause subsumption calls : 103782
% 0.22/3.41 # Non-unit clause-clause subsumptions : 4855
% 0.22/3.41 # Unit Clause-clause subsumption calls : 26749
% 0.22/3.41 # Rewrite failures with RHS unbound : 0
% 0.22/3.41 # BW rewrite match attempts : 1155
% 0.22/3.41 # BW rewrite match successes : 10
% 0.22/3.41 # Condensation attempts : 0
% 0.22/3.41 # Condensation successes : 0
% 0.22/3.41 # Termbank termtop insertions : 1004859
% 0.22/3.41
% 0.22/3.41 # -------------------------------------------------
% 0.22/3.41 # User time : 2.235 s
% 0.22/3.41 # System time : 0.009 s
% 0.22/3.41 # Total time : 2.244 s
% 0.22/3.41 # Maximum resident set size: 15208 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------