%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:35:10 PM UTC 2026
% Result : Theorem 0.14s 10.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 16 unt; 0 def)
% Number of atoms : 693 ( 0 equ)
% Maximal formula atoms : 284 ( 6 avg)
% Number of connectives : 792 ( 200 ~; 514 |; 67 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 118 ( 0 sgn 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nc1,conjecture,
( ( ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X2)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X2)
& g_true_only(X2,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( ( ( g_both(X2,X2)
| g_false_only(X2,X2) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_false_only(X2,X2) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_both(X2,X2) )
& g_true_only(X2,X1) ) )
& ? [X2] :
( g_both(X2,X2)
& g_both(X2,X1) ) ) )
| ! [X1] :
? [X2] :
( ( ( g_both(X2,X2)
| g_false_only(X2,X2) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_false_only(X2,X2) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_both(X2,X2) )
& g_true_only(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc1) ).
fof(exhaustion_g,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
| g_both(X3,X4)
| g_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(true_only_g,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(false_only_g,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(c_0_4,negated_conjecture,
~ ( ( ~ ? [X1] :
! [X2] :
( ( g_true_only(X2,X2)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X2)
& g_true_only(X2,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( ( ( g_both(X2,X2)
| g_false_only(X2,X2) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_false_only(X2,X2) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_both(X2,X2) )
& g_true_only(X2,X1) ) )
& ? [X2] :
( g_both(X2,X2)
& g_both(X2,X1) ) ) )
| ! [X1] :
? [X2] :
( ( ( g_both(X2,X2)
| g_false_only(X2,X2) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_false_only(X2,X2) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X2)
| g_both(X2,X2) )
& g_true_only(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[nc1]) ).
fof(c_0_5,negated_conjecture,
! [X6,X7,X8,X13] :
( ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),esk2_1(X7))
| g_both(esk2_1(X7),esk2_1(X7))
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_true_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk3_1(X7),esk3_1(X7))
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_both(esk4_1(X7),esk4_1(X7))
| g_false_only(esk4_1(X7),esk4_1(X7))
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_false_only(X13,X13)
| g_false_only(X13,esk5_0) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_true_only(X13,X13) )
& ( ~ g_both(X8,X8)
| ~ g_both(X8,X7)
| g_true_only(esk2_1(X7),X7)
| g_both(esk3_1(X7),X7)
| g_false_only(esk4_1(X7),X7)
| g_true_only(X13,esk5_0)
| g_false_only(X13,esk5_0) )
& ( ~ g_false_only(X6,esk1_0)
| ~ g_both(X6,X6) )
& ( ~ g_false_only(X6,esk1_0)
| ~ g_false_only(X6,X6) )
& ( ~ g_both(X6,esk1_0)
| ~ g_true_only(X6,X6) )
& ( ~ g_both(X6,esk1_0)
| ~ g_false_only(X6,X6) )
& ( ~ g_true_only(X6,esk1_0)
| ~ g_true_only(X6,X6) )
& ( ~ g_true_only(X6,esk1_0)
| ~ g_both(X6,X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X20,X21] :
( g_false_only(X20,X21)
| g_both(X20,X21)
| g_true_only(X20,X21) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_7,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
( ~ epred2_0
<=> ! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,X1) ) ),
introduced(definition) ).
fof(c_0_11,plain,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
inference(fof_simplification,[status(thm)],[true_only_g]) ).
fof(c_0_12,plain,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
inference(fof_simplification,[status(thm)],[false_only_g]) ).
cnf(c_0_13,negated_conjecture,
( ~ g_true_only(X1,X1)
| g_false_only(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X14,X15] :
( ( g_true_only(X14,X15)
| g_false(X14,X15)
| ~ g_true(X14,X15) )
& ( ~ g_true_only(X14,X15)
| ~ g_false(X14,X15) )
& ( ~ g_true_only(X14,X15)
| g_true(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_16,plain,
! [X18,X19] :
( ( g_false_only(X18,X19)
| g_true(X18,X19)
| ~ g_false(X18,X19) )
& ( ~ g_false_only(X18,X19)
| ~ g_true(X18,X19) )
& ( ~ g_false_only(X18,X19)
| g_false(X18,X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_17,plain,
( ~ epred3_0
<=> ! [X1] :
( g_true_only(X1,esk5_0)
| g_true_only(X1,X1) ) ),
introduced(definition) ).
cnf(c_0_18,negated_conjecture,
( g_false_only(X1,X1)
| g_false_only(X1,esk1_0)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( ~ g_true_only(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ g_false_only(X1,X2)
| g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( g_true_only(X1,X1)
| g_true_only(X1,esk5_0)
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
( ~ epred4_0
<=> ! [X1] :
( g_false_only(X1,esk5_0)
| g_false_only(X1,X1) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( ~ epred1_0
<=> ! [X2,X3] :
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| g_false_only(esk4_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_true_only(esk2_1(X2),X2) ) ),
introduced(definition) ).
cnf(c_0_24,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| g_true_only(esk2_1(X2),X2)
| g_both(esk3_1(X2),X2)
| g_false_only(esk4_1(X2),X2)
| g_false_only(X1,X1)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( g_false_only(esk1_0,esk1_0)
| epred2_0 ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( ~ g_true_only(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( g_true_only(esk5_0,esk5_0)
| epred3_0 ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( g_false_only(X1,X1)
| g_false_only(X1,esk5_0)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_23]),c_0_10]) ).
cnf(c_0_31,negated_conjecture,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( g_both(X1,X1)
| g_false_only(X1,X1)
| g_false_only(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
fof(c_0_33,plain,
( ~ epred6_0
<=> ! [X2,X3] :
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_both(esk3_1(X2),X2)
| g_true_only(esk2_1(X2),X2) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_35,negated_conjecture,
( ~ g_false_only(esk5_0,esk5_0)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( g_false_only(esk5_0,esk5_0)
| epred4_0 ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_false_only(X1,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_39,negated_conjecture,
( g_both(esk1_0,esk1_0)
| g_false_only(esk1_0,esk1_0) ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( ~ epred3_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_33]),c_0_17]) ).
cnf(c_0_41,negated_conjecture,
( epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( ~ epred4_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_33]),c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( ~ g_both(X2,X2)
| ~ g_both(X2,X1)
| g_true_only(esk2_1(X1),X1)
| g_both(esk3_1(X1),X1)
| g_false_only(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_23]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
g_both(esk1_0,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_39]),c_0_39]) ).
cnf(c_0_45,negated_conjecture,
~ epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( ~ g_false_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_47,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk1_0)
| g_both(esk3_1(esk1_0),esk1_0)
| g_false_only(esk4_1(esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_44])]) ).
fof(c_0_48,plain,
( ~ epred7_0
<=> ! [X2,X3] :
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| g_false_only(esk4_1(X2),X2)
| g_both(esk2_1(X2),esk2_1(X2))
| g_both(esk3_1(X2),X2)
| g_true_only(esk2_1(X2),esk2_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_49,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_50,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_false_only(X1,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_51,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_52,negated_conjecture,
( ~ g_both(X2,X2)
| ~ g_both(X2,X1)
| g_true_only(esk2_1(X1),X1)
| g_both(esk3_1(X1),X1)
| g_both(esk4_1(X1),esk4_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1)) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_33]),c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_both(esk3_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0)
| g_both(esk3_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( ~ epred3_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49,c_0_48]),c_0_17]) ).
cnf(c_0_56,negated_conjecture,
( ~ epred4_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_50,c_0_48]),c_0_22]) ).
fof(c_0_57,plain,
( ~ epred8_0
<=> ! [X2,X3] :
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| g_false_only(esk4_1(X2),esk4_1(X2))
| g_both(esk4_1(X2),esk4_1(X2))
| g_both(esk2_1(X2),esk2_1(X2))
| g_both(esk3_1(X2),X2)
| g_true_only(esk2_1(X2),esk2_1(X2)) ) ),
introduced(definition) ).
cnf(c_0_58,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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_true_only(X1,esk5_0)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_false_only(X1,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_60,negated_conjecture,
( ~ g_both(X2,X1)
| ~ g_both(X2,X2)
| g_true_only(esk2_1(X1),X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_false_only(esk4_1(X1),X1)
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(condense,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk1_0)
| g_both(esk3_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_52,c_0_44]),c_0_44])]),c_0_53]),c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( ~ g_both(X1,esk1_0)
| ~ g_false_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_63,negated_conjecture,
~ epred7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( ~ epred3_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_58,c_0_57]),c_0_17]) ).
cnf(c_0_65,negated_conjecture,
( ~ epred4_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_59,c_0_57]),c_0_22]) ).
cnf(c_0_66,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_67,negated_conjecture,
( ~ g_both(esk1_0,X1)
| g_true_only(esk2_1(X1),X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_false_only(esk4_1(X1),X1)
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_68,negated_conjecture,
( ~ 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_9,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( ~ g_false_only(esk3_1(esk1_0),esk3_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( ~ g_both(X2,X2)
| ~ g_both(X2,X1)
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_both(esk3_1(X1),X1)
| g_both(esk2_1(X1),esk2_1(X1))
| g_false_only(esk4_1(X1),X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_48]),c_0_63]) ).
cnf(c_0_71,negated_conjecture,
~ epred8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_41]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
( ~ g_both(X2,X1)
| ~ g_both(X2,X2)
| g_true_only(esk2_1(X1),X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_both(esk4_1(X1),esk4_1(X1))
| g_false_only(esk3_1(X1),esk3_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1)) ),
inference(condense,[status(thm)],[c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk1_0)
| g_false_only(esk4_1(esk1_0),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_68]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_44]),c_0_44])]) ).
cnf(c_0_75,negated_conjecture,
( ~ g_both(X2,X2)
| ~ g_both(X2,X1)
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_both(esk3_1(X1),X1)
| g_both(esk2_1(X1),esk2_1(X1))
| g_both(esk4_1(X1),esk4_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1)) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( ~ g_both(esk1_0,X1)
| g_true_only(esk2_1(X1),X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_both(esk4_1(X1),esk4_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1))
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_44]) ).
cnf(c_0_77,negated_conjecture,
( ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( ~ g_false_only(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_both(esk2_1(esk1_0),esk2_1(esk1_0))
| g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_44]),c_0_44])]) ).
cnf(c_0_81,negated_conjecture,
( ~ g_both(esk4_1(esk1_0),esk4_1(esk1_0))
| g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
g_true_only(esk2_1(esk1_0),esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_44]),c_0_68]),c_0_77]),c_0_78]),c_0_69]) ).
cnf(c_0_83,negated_conjecture,
( ~ g_true_only(X1,esk1_0)
| ~ g_both(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_84,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_85,negated_conjecture,
( g_true_only(esk2_1(esk1_0),esk2_1(esk1_0))
| g_both(esk3_1(esk1_0),esk1_0)
| g_both(esk2_1(esk1_0),esk2_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_86,negated_conjecture,
~ g_true_only(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_7,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
~ g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( ~ g_both(X2,X1)
| ~ g_both(X2,X2)
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_both(esk2_1(X1),esk2_1(X1))
| g_false_only(esk4_1(X1),X1)
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(condense,[status(thm)],[c_0_84]) ).
cnf(c_0_89,negated_conjecture,
g_both(esk3_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( ~ g_both(esk1_0,X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_both(esk2_1(X1),esk2_1(X1))
| g_false_only(esk4_1(X1),X1)
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_44]) ).
cnf(c_0_91,negated_conjecture,
~ g_true_only(esk3_1(esk1_0),esk3_1(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( ~ g_both(X3,X3)
| ~ g_both(X3,X2)
| 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(X1,X1)
| g_true_only(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_93,negated_conjecture,
( g_false_only(esk4_1(esk1_0),esk1_0)
| g_false_only(esk3_1(esk1_0),esk3_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_44]),c_0_87]),c_0_86]),c_0_91]) ).
cnf(c_0_94,negated_conjecture,
~ g_false_only(esk3_1(esk1_0),esk3_1(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( ~ g_both(X2,X1)
| ~ g_both(X2,X2)
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_both(esk2_1(X1),esk2_1(X1))
| g_both(esk4_1(X1),esk4_1(X1))
| g_false_only(esk3_1(X1),esk3_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1)) ),
inference(condense,[status(thm)],[c_0_92]) ).
cnf(c_0_96,negated_conjecture,
g_false_only(esk4_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( ~ g_both(esk1_0,X1)
| g_true_only(esk3_1(X1),esk3_1(X1))
| g_true_only(esk2_1(X1),esk2_1(X1))
| g_both(esk4_1(X1),esk4_1(X1))
| g_both(esk2_1(X1),esk2_1(X1))
| g_false_only(esk4_1(X1),esk4_1(X1))
| g_false_only(esk3_1(X1),esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_44]) ).
cnf(c_0_98,negated_conjecture,
~ g_both(esk4_1(esk1_0),esk4_1(esk1_0)),
inference(spm,[status(thm)],[c_0_46,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
g_false_only(esk4_1(esk1_0),esk4_1(esk1_0)),
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_97,c_0_44]),c_0_94]),c_0_87]),c_0_98]),c_0_86]),c_0_91]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_96]),c_0_99])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/10.39 % Computer : n020.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Mon Sep 21 07:25:43 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/10.43 Running first-order theorem proving
% 0.14/10.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.46 % Version: 3.5.1
% 0.14/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.46 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.46 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.46 % Starting sh5l with 300s (1) cores
% 0.14/10.46 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2379346 completed with status 0
% 0.14/10.46 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.46 % No SInE strategy applied
% 0.14/10.46 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.14/10.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.46 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.14/10.46 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/10.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/10.46 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2379354 completed with status 0
% 0.14/10.46 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.14/10.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/10.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/10.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/10.46 % No SInE strategy applied
% 0.14/10.46 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.14/10.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/10.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/10.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/10.46 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.14/10.46 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/10.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/10.46 % Preprocessing time : 0.001 s
% 0.14/10.46
% 0.14/10.46 % Proof found!
% 0.14/10.46 % SZS status Theorem
% 0.14/10.46 % SZS output start CNFRefutation
% See solution above
% 0.14/10.46 % Parsed axioms : 5
% 0.14/10.46 % Removed by relevancy pruning/SinE : 0
% 0.14/10.46 % Initial clauses : 48
% 0.14/10.46 % Removed in clause preprocessing : 0
% 0.14/10.46 % Initial clauses in saturation : 48
% 0.14/10.46 % Processed clauses : 261
% 0.14/10.46 % ...of these trivial : 0
% 0.14/10.46 % ...subsumed : 89
% 0.14/10.46 % ...remaining for further processing : 171
% 0.14/10.46 % Other redundant clauses eliminated : 0
% 0.14/10.46 % Clauses deleted for lack of memory : 0
% 0.14/10.46 % Backward-subsumed : 30
% 0.14/10.46 % Backward-rewritten : 21
% 0.14/10.46 % Generated clauses : 306
% 0.14/10.46 % ...of the previous two non-redundant : 280
% 0.14/10.46 % ...aggressively subsumed : 0
% 0.14/10.46 % Contextual simplify-reflections : 20
% 0.14/10.46 % Paramodulations : 269
% 0.14/10.46 % Factorizations : 8
% 0.14/10.46 % NegExts : 0
% 0.14/10.46 % Equation resolutions : 0
% 0.14/10.46 % Disequality decompositions : 0
% 0.14/10.46 % Total rewrite steps : 47
% 0.14/10.46 % ...of those cached : 41
% 0.14/10.46 % Propositional unsat checks : 0
% 0.14/10.46 % Propositional check models : 0
% 0.14/10.46 % Propositional check unsatisfiable : 0
% 0.14/10.46 % Propositional clauses : 0
% 0.14/10.46 % Propositional clauses after purity: 0
% 0.14/10.46 % Propositional unsat core size : 0
% 0.14/10.46 % Propositional preprocessing time : 0.000
% 0.14/10.46 % Propositional encoding time : 0.000
% 0.14/10.46 % Propositional solver time : 0.000
% 0.14/10.46 % Success case prop preproc time : 0.000
% 0.14/10.46 % Success case prop encoding time : 0.000
% 0.14/10.46 % Success case prop solver time : 0.000
% 0.14/10.46 % Current number of processed clauses : 99
% 0.14/10.46 % Positive orientable unit clauses : 7
% 0.14/10.46 % Positive unorientable unit clauses: 0
% 0.14/10.46 % Negative unit clauses : 14
% 0.14/10.46 % Non-unit-clauses : 78
% 0.14/10.46 % Current number of unprocessed clauses: 51
% 0.14/10.46 % ...number of literals in the above : 238
% 0.14/10.46 % Current number of archived formulas : 0
% 0.14/10.46 % Current number of archived clauses : 56
% 0.14/10.46 % Clause-clause subsumption calls (NU) : 3927
% 0.14/10.46 % Rec. Clause-clause subsumption calls : 1942
% 0.14/10.46 % Non-unit clause-clause subsumptions : 170
% 0.14/10.46 % Unit Clause-clause subsumption calls : 248
% 0.14/10.46 % Rewrite failures with RHS unbound : 0
% 0.14/10.46 % BW rewrite match attempts : 3
% 0.14/10.46 % BW rewrite match successes : 3
% 0.14/10.46 % Condensation attempts : 261
% 0.14/10.46 % Condensation successes : 4
% 0.14/10.46 % Termbank termtop insertions : 9398
% 0.14/10.46 % Search garbage collected termcells : 371
% 0.14/10.46
% 0.14/10.46 % -------------------------------------------------
% 0.14/10.46 % User time : 0.011 s
% 0.14/10.46 % System time : 0.002 s
% 0.14/10.46 % Total time : 0.013 s
% 0.14/10.46 % Maximum resident set size: 3632 pages
% 0.14/10.46
% 0.14/10.46 % -------------------------------------------------
% 0.14/10.46 % User time : 0.051 s
% 0.14/10.46 % System time : 0.014 s
% 0.14/10.46 % Total time : 0.065 s
% 0.14/10.46 % Maximum resident set size: 4608 pages
% 0.14/10.46 % E exiting
%------------------------------------------------------------------------------