TSTP Solution File: SEV515+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 17:04:47 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 106 ( 8 unt; 0 def)
% Number of atoms : 760 ( 0 equ)
% Maximal formula atoms : 284 ( 7 avg)
% Number of connectives : 827 ( 173 ~; 583 |; 68 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 149 ( 9 sgn 32 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nc1,conjecture,
( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_false_only(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_false_only(X2,X2)
| g_both(X2,X2) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_false_only(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_false_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_false_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_true_only(X2,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nc1) ).
fof(exhaustion_g,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
| g_both(X3,X4)
| g_false_only(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exhaustion_g) ).
fof(true_only_g,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( g_true(X3,X4)
& ~ g_false(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',true_only_g) ).
fof(false_only_g,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( g_false(X3,X4)
& ~ g_true(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',false_only_g) ).
fof(both_g,axiom,
! [X3,X4] :
( g_both(X3,X4)
<=> ( g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',both_g) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X1] :
? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_false_only(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_false_only(X2,X2)
| g_both(X2,X2) ) ) )
| ( ? [X1] :
( ? [X2] :
( g_both(X2,X1)
& g_both(X2,X2) )
& ~ ? [X2] :
( ( g_true_only(X2,X1)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_both(X2,X1)
& ( g_false_only(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_false_only(X2,X1)
& ( g_false_only(X2,X2)
| g_both(X2,X2) ) ) ) )
& ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X1)
& g_false_only(X2,X2) )
| ( g_false_only(X2,X1)
& g_true_only(X2,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[nc1]) ).
fof(c_0_6,negated_conjecture,
! [X4,X4,X4,X5,X6,X9] :
( ( ~ g_both(X4,X4)
| ~ g_true_only(X4,esk1_0) )
& ( ~ g_true_only(X4,X4)
| ~ g_true_only(X4,esk1_0) )
& ( ~ g_false_only(X4,X4)
| ~ g_both(X4,esk1_0) )
& ( ~ g_true_only(X4,X4)
| ~ g_both(X4,esk1_0) )
& ( ~ g_false_only(X4,X4)
| ~ g_false_only(X4,esk1_0) )
& ( ~ g_both(X4,X4)
| ~ g_false_only(X4,esk1_0) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk2_1(X5),X5)
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_both(esk3_1(X5),X5)
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),X5)
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_true_only(X9,esk5_0)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_false_only(X9,esk5_0)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
& ( g_true_only(X9,X9)
| g_false_only(X9,X9)
| g_false_only(esk4_1(X5),esk4_1(X5))
| g_both(esk4_1(X5),esk4_1(X5))
| g_false_only(esk3_1(X5),esk3_1(X5))
| g_true_only(esk3_1(X5),esk3_1(X5))
| g_both(esk2_1(X5),esk2_1(X5))
| g_true_only(esk2_1(X5),esk2_1(X5))
| ~ g_both(X6,X5)
| ~ g_both(X6,X6) ) ),
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_5])])])])])])]) ).
fof(c_0_7,plain,
! [X5,X6] :
( g_true_only(X5,X6)
| g_both(X5,X6)
| g_false_only(X5,X6) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_8,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( g_false_only(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( g_false_only(X1,esk1_0)
| g_false_only(X1,X1)
| g_both(X1,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( g_false_only(esk1_0,esk1_0)
| g_both(esk1_0,esk1_0) ),
inference(ef,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_false_only(esk4_1(X2),X2)
| g_true_only(X3,esk5_0)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
g_both(esk1_0,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
fof(c_0_17,plain,
! [X5,X6,X5,X6] :
( ( g_true(X5,X6)
| ~ g_true_only(X5,X6) )
& ( ~ g_false(X5,X6)
| ~ g_true_only(X5,X6) )
& ( ~ g_true(X5,X6)
| g_false(X5,X6)
| g_true_only(X5,X6) ) ),
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_18,plain,
! [X5,X6,X5,X6] :
( ( g_false(X5,X6)
| ~ g_false_only(X5,X6) )
& ( ~ g_true(X5,X6)
| ~ g_false_only(X5,X6) )
& ( ~ g_false(X5,X6)
| g_true(X5,X6)
| g_false_only(X5,X6) ) ),
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_19,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_false_only(esk4_1(X2),X2)
| g_false_only(X3,X3)
| g_false_only(X3,esk5_0)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( ~ g_true_only(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( g_false(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_true_only(X3,esk5_0)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_16])]) ).
fof(c_0_28,plain,
! [X5,X6,X5,X6] :
( ( g_true(X5,X6)
| ~ g_both(X5,X6) )
& ( g_false(X5,X6)
| ~ g_both(X5,X6) )
& ( ~ g_true(X5,X6)
| ~ g_false(X5,X6)
| g_both(X5,X6) ) ),
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])])])])]) ).
cnf(c_0_29,plain,
( ~ g_false_only(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_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_24,c_0_16]),c_0_16])]),c_0_25]),c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_false_only(X3,X3)
| g_false_only(X3,esk5_0)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_34,plain,
( g_false(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,X1)
| ~ g_false_only(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_16])]),c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
( ~ g_false_only(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
( g_true(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( ~ g_both(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( ~ g_false_only(X1,X2)
| ~ g_both(X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk4_1(X2),X2)
| g_false_only(X3,X3)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_43,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_16]),c_0_16])]) ).
cnf(c_0_46,negated_conjecture,
( g_both(X1,X1)
| ~ g_both(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_48,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_45]),c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( g_both(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_both(esk3_1(X2),X2)
| g_false_only(esk4_1(X2),X2)
| g_false_only(X3,X3)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_52,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_false_only(X3,X3)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( g_true_only(esk2_1(X2),X2)
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_true_only(X3,esk5_0)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(X1,X1)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_16]),c_0_16])]) ).
cnf(c_0_57,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_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_52,c_0_47]),c_0_9]),c_0_53]),c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_16]),c_0_16])]) ).
cnf(c_0_59,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_56]),c_0_41]) ).
cnf(c_0_60,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(ef,[status(thm)],[c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_58]),c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_both(esk3_1(X2),X2)
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_false_only(X3,X3)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_63,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_16]) ).
cnf(c_0_64,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_60]),c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_61]),c_0_47]) ).
cnf(c_0_66,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_16]),c_0_16])]) ).
cnf(c_0_67,negated_conjecture,
( g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
g_true_only(esk2_1(esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_64]),c_0_47]) ).
cnf(c_0_70,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_71,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk4_1(X2),X2)
| g_true_only(X3,esk5_0)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_72,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk1_0)
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_65]),c_0_47]) ).
cnf(c_0_73,negated_conjecture,
( g_false_only(X1,X1)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_47]),c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_74,negated_conjecture,
~ g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_8,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
~ g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_16]),c_0_16])]) ).
cnf(c_0_77,negated_conjecture,
( g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_both(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( g_false_only(X1,X1)
| g_both(esk3_1(esk1_0),esk1_0)
| g_true_only(X1,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_true_only(X3,esk5_0)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_81,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_47]),c_0_9]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_82,negated_conjecture,
( g_both(esk3_1(esk1_0),esk1_0)
| ~ g_both(X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79]),c_0_41]) ).
cnf(c_0_83,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_16]),c_0_16])]) ).
cnf(c_0_84,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1)
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
g_both(esk3_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_82,c_0_16]) ).
cnf(c_0_87,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_83,c_0_74]),c_0_75]),c_0_84]),c_0_85]) ).
cnf(c_0_88,negated_conjecture,
g_both(esk3_1(esk1_0),esk3_1(esk1_0)),
inference(spm,[status(thm)],[c_0_46,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_87]),c_0_88])]) ).
cnf(c_0_90,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk4_1(X2),X2)
| g_false_only(X3,X3)
| g_false_only(X3,esk5_0)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_91,negated_conjecture,
( g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_89]),c_0_88])]) ).
cnf(c_0_92,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_16]),c_0_16])]) ).
cnf(c_0_93,negated_conjecture,
( g_true_only(X1,esk5_0)
| ~ g_both(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(X1,esk5_0)
| g_false_only(X1,X1)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_92,c_0_74]),c_0_75]) ).
cnf(c_0_95,negated_conjecture,
( ~ g_false_only(X1,esk5_0)
| ~ g_both(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_93]) ).
cnf(c_0_96,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| ~ g_both(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_94]),c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( g_true_only(esk2_1(X2),esk2_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_true_only(esk3_1(X2),esk3_1(X2))
| g_false_only(esk3_1(X2),esk3_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_false_only(X3,X3)
| g_true_only(X3,X3)
| ~ g_both(X1,X1)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_98,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_86]) ).
cnf(c_0_99,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_false_only(X1,X1)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_16]),c_0_16])]) ).
cnf(c_0_100,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_false_only(X1,X1)
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_99,c_0_74]),c_0_75]),c_0_100]),c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
inference(ef,[status(thm)],[c_0_102]) ).
cnf(c_0_104,negated_conjecture,
g_false_only(esk3_1(esk1_0),esk3_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_103]),c_0_88])]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_104]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 12:08:37 EDT 2022
% 0.12/0.34 % 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 : 0.040 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 : 106
% 0.24/1.42 # Proof object clause steps : 95
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 89
% 0.24/1.42 # Proof object clause conjectures : 86
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 25
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 66
% 0.24/1.42 # Proof object simplifying inferences : 72
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 5
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 48
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 48
% 0.24/1.42 # Processed clauses : 678
% 0.24/1.42 # ...of these trivial : 14
% 0.24/1.42 # ...subsumed : 237
% 0.24/1.42 # ...remaining for further processing : 427
% 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 : 284
% 0.24/1.42 # Backward-rewritten : 46
% 0.24/1.42 # Generated clauses : 2676
% 0.24/1.42 # ...of the previous two non-trivial : 2473
% 0.24/1.42 # Contextual simplify-reflections : 347
% 0.24/1.42 # Paramodulations : 2645
% 0.24/1.42 # Factorizations : 18
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 84
% 0.24/1.42 # Positive orientable unit clauses : 9
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 14
% 0.24/1.42 # Non-unit-clauses : 61
% 0.24/1.42 # Current number of unprocessed clauses: 26
% 0.24/1.42 # ...number of literals in the above : 159
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 343
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 18937
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 5584
% 0.24/1.42 # Non-unit clause-clause subsumptions : 813
% 0.24/1.42 # Unit Clause-clause subsumption calls : 582
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 8
% 0.24/1.42 # BW rewrite match successes : 8
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 77616
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.823 s
% 0.24/1.42 # System time : 0.004 s
% 0.24/1.42 # Total time : 0.827 s
% 0.24/1.42 # Maximum resident set size: 4356 pages
%------------------------------------------------------------------------------