%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO607+1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : 300s
% DateTime : Tue May 5 05:54:03 PM UTC 2026
% Result : Theorem 1.44s 1.77s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 6 unt; 0 def)
% Number of atoms : 370 ( 0 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 377 ( 80 ~; 258 |; 34 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 235 ( 79 sgn 35 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(true_only_g,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( g_true(X3,X4)
& ~ g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(nc6,conjecture,
( ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ( ? [X1] :
( ( g_both(a,X1)
| ( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) ) )
& ~ g_true_only(a,X1)
& ~ ! [X2] : g_true_only(X1,X2) )
& ~ ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
& ? [X1] :
( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) )
& ~ ? [X1] :
! [X2] : g_true_only(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
fof(both_g,axiom,
! [X3,X4] :
( g_both(X3,X4)
<=> ( g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(exhaustion_g,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
| g_both(X3,X4)
| g_false_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(false_only_g,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( g_false(X3,X4)
& ~ g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(c_0_5,plain,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( g_true(X3,X4)
& ~ g_false(X3,X4) ) ),
inference(fof_simplification,[status(thm)],[true_only_g]) ).
fof(c_0_6,negated_conjecture,
~ ( ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ( ? [X1] :
( ( g_both(a,X1)
| ( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) ) )
& ~ g_true_only(a,X1)
& ~ ! [X2] : g_true_only(X1,X2) )
& ~ ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
& ? [X1] :
( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) )
& ~ ? [X1] :
! [X2] : g_true_only(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nc6])]) ).
fof(c_0_7,plain,
! [X43,X44] :
( ( g_true(X43,X44)
| ~ g_true_only(X43,X44) )
& ( ~ g_false(X43,X44)
| ~ g_true_only(X43,X44) )
& ( ~ g_true(X43,X44)
| g_false(X43,X44)
| g_true_only(X43,X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X45,X46] :
( ( g_true(X45,X46)
| ~ g_both(X45,X46) )
& ( g_false(X45,X46)
| ~ g_both(X45,X46) )
& ( ~ g_true(X45,X46)
| ~ g_false(X45,X46)
| g_both(X45,X46) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])]) ).
fof(c_0_9,negated_conjecture,
! [X28,X29,X30,X32,X33,X35,X38,X39,X42] :
( ( ~ g_false_only(a,X28)
| ~ g_false_only(X28,X29) )
& ~ g_true_only(X30,esk1_1(X30))
& ( g_false_only(a,esk3_0)
| ~ g_both(a,X32)
| g_true_only(a,X32)
| g_true_only(X32,X35)
| ~ g_both(X38,X39)
| g_false_only(X38,esk5_1(X38))
| g_true_only(esk6_0,X42) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(a,X32)
| g_true_only(a,X32)
| g_true_only(X32,X35)
| ~ g_both(X38,X39)
| g_false_only(X38,esk5_1(X38))
| g_true_only(esk6_0,X42) )
& ( g_false_only(a,esk3_0)
| ~ g_both(X32,X33)
| g_false_only(X32,esk2_1(X32))
| g_true_only(a,X32)
| g_true_only(X32,X35)
| ~ g_both(X38,X39)
| g_false_only(X38,esk5_1(X38))
| g_true_only(esk6_0,X42) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(X32,X33)
| g_false_only(X32,esk2_1(X32))
| g_true_only(a,X32)
| g_true_only(X32,X35)
| ~ g_both(X38,X39)
| g_false_only(X38,esk5_1(X38))
| g_true_only(esk6_0,X42) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_10,plain,
( ~ g_false(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( g_false(X1,X2)
| ~ g_both(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(a,X1)
| g_true_only(X1,X2)
| g_false_only(X3,esk5_1(X3))
| g_true_only(esk6_0,X5)
| ~ g_both(a,X1)
| ~ g_both(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ g_both(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,plain,
! [X49,X50] :
( g_true_only(X49,X50)
| g_both(X49,X50)
| g_false_only(X49,X50) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_15,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(X2,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(a,esk3_0)
| ~ g_both(a,X2)
| ~ g_both(X4,X5) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_false_only(a,esk3_0)
| g_false_only(X4,esk5_1(X4))
| g_false_only(a,X1)
| ~ g_both(X4,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,esk3_0)
| g_false_only(a,X2)
| g_false_only(X3,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ g_true_only(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_false_only(a,esk5_1(a))
| g_false_only(a,esk3_0)
| g_false_only(a,X1) ),
inference(ef,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( g_false(X3,X4)
& ~ g_true(X3,X4) ) ),
inference(fof_simplification,[status(thm)],[false_only_g]) ).
cnf(c_0_22,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(X1,X2)
| g_false_only(a,esk5_1(a))
| g_false_only(a,esk3_0)
| g_false_only(a,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_23,plain,
! [X47,X48] :
( ( g_false(X47,X48)
| ~ g_false_only(X47,X48) )
& ( ~ g_true(X47,X48)
| ~ g_false_only(X47,X48) )
& ( ~ g_false(X47,X48)
| g_true(X47,X48)
| g_false_only(X47,X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_24,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk5_1(a))
| g_false_only(a,esk3_0)
| g_false_only(a,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_25,plain,
( ~ g_true(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
( g_true(X1,X2)
| ~ g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( ~ g_false_only(a,X1)
| ~ g_false_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
( g_true_only(a,esk5_1(a))
| g_false_only(a,esk5_1(a))
| g_false_only(a,esk3_0) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X3,X4)
| g_false_only(a,esk3_0)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,X1)
| g_false_only(X3,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_30,plain,
( ~ g_true_only(X1,X2)
| ~ g_false_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(a,X1)
| g_true_only(X1,X2)
| g_false_only(X3,esk5_1(X3))
| g_true_only(esk6_0,X5)
| ~ g_both(a,X1)
| ~ g_both(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_32,negated_conjecture,
( g_true_only(a,esk5_1(a))
| g_false_only(a,esk3_0)
| ~ g_false_only(esk5_1(a),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(X2,X3)
| g_false_only(X2,esk5_1(X2))
| g_false_only(a,esk3_0)
| g_false_only(a,X1)
| g_false_only(X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(a,X1)
| ~ g_false_only(esk5_1(a),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(a,X1)
| ~ g_true_only(a,esk5_1(a)) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(X2,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(esk3_0,esk4_0)
| ~ g_both(a,X2)
| ~ g_both(X4,X5) ),
inference(csr,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_37,negated_conjecture,
( g_true_only(esk5_1(a),X1)
| g_true_only(a,X2)
| g_false_only(a,esk3_0)
| g_false_only(a,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X4,esk5_1(X4))
| g_false_only(a,X1)
| ~ g_both(X4,X5) ),
inference(spm,[status(thm)],[c_0_36,c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( g_false_only(a,esk3_0)
| g_false_only(X1,esk2_1(X1))
| g_true_only(a,X1)
| g_true_only(X1,X3)
| g_false_only(X4,esk5_1(X4))
| g_true_only(esk6_0,X6)
| ~ g_both(X1,X2)
| ~ g_both(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_true_only(X4,X5)
| g_false_only(a,esk3_0)
| g_false_only(X4,esk5_1(X4))
| g_false_only(X4,X5)
| ~ g_false_only(X1,X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_41,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(a,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(X3,esk5_1(X3))
| g_false_only(esk3_0,esk4_0)
| g_false_only(a,X2)
| g_false_only(X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_43,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(a,esk3_0)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X3,X4)
| ~ g_both(X2,X6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( g_true_only(a,esk3_0)
| g_false_only(a,esk3_0) ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X3,X4)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,X1)
| g_false_only(X3,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_true_only(X1,X4)
| g_true_only(X5,X6)
| g_false_only(X5,esk5_1(X5))
| g_false_only(a,esk3_0)
| g_false_only(X5,X6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_16]),c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( g_true_only(a,esk3_0)
| ~ g_false_only(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(X2,X3)
| g_false_only(X2,esk5_1(X2))
| g_false_only(esk3_0,esk4_0)
| g_false_only(a,X1)
| g_false_only(X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,X1)
| ~ g_false_only(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,X1)
| ~ g_true_only(a,esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(a,esk3_0)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X3,X4) ),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( g_true_only(esk3_0,X1)
| g_true_only(a,X2)
| g_false_only(a,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_49]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X3,X4)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,esk3_0)
| g_false_only(X3,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(X2,X3)
| g_false_only(a,esk3_0)
| g_false_only(X2,esk5_1(X2))
| g_false_only(X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( g_true_only(a,X1)
| ~ g_false_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( g_true_only(X1,X2)
| g_false_only(X1,esk5_1(X1))
| g_false_only(a,esk3_0)
| g_false_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_false_only(X1,esk2_1(X1))
| g_true_only(a,X1)
| g_true_only(X1,X3)
| g_false_only(X4,esk5_1(X4))
| g_true_only(esk6_0,X6)
| ~ g_both(X1,X2)
| ~ g_both(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_59,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(X1,X2)
| g_false_only(a,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X2,esk2_1(X2))
| g_false_only(X3,esk5_1(X3))
| g_false_only(X3,X4)
| ~ g_both(X2,X6) ),
inference(spm,[status(thm)],[c_0_58,c_0_16]) ).
cnf(c_0_61,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_true_only(X4,X5)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X4,esk5_1(X4))
| g_false_only(X4,X5)
| ~ g_false_only(X1,X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_42]) ).
cnf(c_0_62,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_true_only(X1,X4)
| g_true_only(X5,X6)
| g_false_only(X5,esk5_1(X5))
| g_false_only(esk3_0,esk4_0)
| g_false_only(X5,X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_16]),c_0_61]),c_0_61]) ).
cnf(c_0_64,negated_conjecture,
g_false_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_19,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X3,X4) ),
inference(ef,[status(thm)],[c_0_63]) ).
cnf(c_0_66,negated_conjecture,
~ g_false_only(esk3_0,X1),
inference(spm,[status(thm)],[c_0_27,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,X3)
| g_true_only(X4,X5)
| g_false_only(X4,esk5_1(X4))
| g_false_only(X4,X5) ),
inference(sr,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( g_true_only(esk3_0,X1)
| g_true_only(esk6_0,X2)
| g_true_only(a,X3)
| g_true_only(X3,X4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
~ g_true_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( g_true_only(esk3_0,X1)
| g_true_only(esk6_0,X2) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_68]),c_0_69]) ).
cnf(c_0_71,negated_conjecture,
g_true_only(esk3_0,X1),
inference(spm,[status(thm)],[c_0_19,c_0_70]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO607+1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n020.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 09:18:35 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.44/1.77 % Version : CSE_E---1.7
% 1.44/1.77 % Problem : theBenchmark.p
% 1.44/1.77 % SZS status Theorem for theBenchmark.p
% 1.44/1.77 % SZS output start CNFRefutation
% See solution above
% 1.44/1.77 % Total time : 1.370s
%------------------------------------------------------------------------------