%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO607+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 03:51:42 PM UTC 2026
% Result : Theorem 0.24s 0.63s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 4
% Syntax : Number of formulae : 90 ( 9 unt; 0 def)
% Number of atoms : 455 ( 0 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 437 ( 72 ~; 321 |; 40 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 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 : 272 ( 93 sgn 34 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nc6,conjecture,
( ( ~ ? [X1] :
! [X2] : g_true_only(X1,X2)
& ? [X1] :
( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
& ~ ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) )
& ? [X1] :
( ~ ! [X2] : g_true_only(X1,X2)
& ~ g_true_only(a,X1)
& ( ( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
| g_both(a,X1) ) ) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).
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(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(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(c_0_4,negated_conjecture,
~ ( ( ~ ? [X1] :
! [X2] : g_true_only(X1,X2)
& ? [X1] :
( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
& ~ ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) )
& ? [X1] :
( ~ ! [X2] : g_true_only(X1,X2)
& ~ g_true_only(a,X1)
& ( ( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
| g_both(a,X1) ) ) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) ) ),
inference(assume_negation,[status(cth)],[nc6]) ).
fof(c_0_5,negated_conjecture,
~ ( ( ~ ? [X1] :
! [X2] : g_true_only(X1,X2)
& ? [X1] :
( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
& ~ ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) )
& ? [X1] :
( ~ ! [X2] : g_true_only(X1,X2)
& ~ g_true_only(a,X1)
& ( ( ~ ? [X2] : g_false_only(X1,X2)
& ? [X2] : g_both(X1,X2) )
| g_both(a,X1) ) ) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ? [X1] :
( ? [X2] : g_false_only(X1,X2)
& g_false_only(a,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
! [X5,X6,X7,X9,X10,X12,X15,X16,X19] :
( ( g_true_only(esk6_0,X19)
| g_false_only(X15,esk5_1(X15))
| ~ g_both(X15,X16)
| g_true_only(X9,X12)
| g_true_only(a,X9)
| g_false_only(X9,esk2_1(X9))
| ~ g_both(X9,X10)
| g_false_only(esk3_0,esk4_0) )
& ( g_true_only(esk6_0,X19)
| g_false_only(X15,esk5_1(X15))
| ~ g_both(X15,X16)
| g_true_only(X9,X12)
| g_true_only(a,X9)
| g_false_only(X9,esk2_1(X9))
| ~ g_both(X9,X10)
| g_false_only(a,esk3_0) )
& ( g_true_only(esk6_0,X19)
| g_false_only(X15,esk5_1(X15))
| ~ g_both(X15,X16)
| g_true_only(X9,X12)
| g_true_only(a,X9)
| ~ g_both(a,X9)
| g_false_only(esk3_0,esk4_0) )
& ( g_true_only(esk6_0,X19)
| g_false_only(X15,esk5_1(X15))
| ~ g_both(X15,X16)
| g_true_only(X9,X12)
| g_true_only(a,X9)
| ~ g_both(a,X9)
| g_false_only(a,esk3_0) )
& ~ g_true_only(X7,esk1_1(X7))
& ( ~ g_false_only(X5,X6)
| ~ g_false_only(a,X5) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_7,plain,
! [X26,X27] :
( g_false_only(X26,X27)
| g_both(X26,X27)
| g_true_only(X26,X27) ),
inference(variable_rename,[status(thm)],[exhaustion_g]) ).
cnf(c_0_8,negated_conjecture,
( ~ g_both(X3,X4)
| ~ g_both(a,X1)
| g_true_only(esk6_0,X5)
| g_false_only(X3,esk5_1(X3))
| g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(a,esk3_0) ),
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(a,X2)
| g_false_only(X3,X4)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,esk3_0)
| g_true_only(X2,X5)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
~ g_true_only(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( g_false_only(X4,X5)
| g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(X4,esk5_1(X4))
| g_true_only(X4,X5)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
fof(c_0_13,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_14,negated_conjecture,
( g_false_only(X3,X4)
| g_false_only(a,X2)
| g_false_only(X3,esk5_1(X3))
| g_false_only(a,esk3_0)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,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_16,plain,
! [X24,X25] :
( ( g_false_only(X24,X25)
| g_true(X24,X25)
| ~ g_false(X24,X25) )
& ( ~ g_false_only(X24,X25)
| ~ g_true(X24,X25) )
& ( ~ g_false_only(X24,X25)
| g_false(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_17,negated_conjecture,
( g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(a,esk5_1(a))
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(ef,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X20,X21] :
( ( g_true_only(X20,X21)
| g_false(X20,X21)
| ~ g_true(X20,X21) )
& ( ~ g_true_only(X20,X21)
| ~ g_false(X20,X21) )
& ( ~ g_true_only(X20,X21)
| g_true(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_19,plain,
( ~ g_false_only(X1,X2)
| g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_false_only(a,esk5_1(a))
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ g_false_only(X1,X2)
| ~ g_false_only(a,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( g_false_only(a,esk3_0)
| g_false_only(a,esk5_1(a))
| g_true_only(esk6_0,X1)
| g_true_only(a,esk5_1(a)) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ g_true_only(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_true_only(a,X1)
| g_false(a,esk5_1(a)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( ~ g_false_only(a,X3)
| g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_true_only(X3,X4)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_14]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( g_false_only(a,esk3_0)
| g_false_only(a,esk5_1(a))
| g_true_only(a,esk5_1(a)) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( ~ g_true_only(a,esk5_1(a))
| g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ g_both(X3,X4)
| ~ g_both(a,X1)
| g_true_only(esk6_0,X5)
| g_false_only(X3,esk5_1(X3))
| g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( g_false_only(a,X3)
| g_false_only(a,esk3_0)
| g_true_only(a,X3)
| g_true_only(esk6_0,X2)
| g_true_only(esk5_1(a),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( ~ g_both(a,X2)
| g_false_only(X3,X4)
| g_false_only(X3,esk5_1(X3))
| g_false_only(esk3_0,esk4_0)
| g_true_only(X2,X5)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_31,negated_conjecture,
( g_false_only(a,X2)
| g_false_only(a,esk3_0)
| g_true_only(a,X2)
| g_true_only(esk5_1(a),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( g_false_only(X4,X5)
| g_false_only(a,X1)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X4,esk5_1(X4))
| g_true_only(X4,X5)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_9]) ).
cnf(c_0_33,negated_conjecture,
( g_false_only(a,X1)
| g_false_only(a,esk3_0)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( g_false_only(X3,X4)
| g_false_only(a,X2)
| g_false_only(X3,esk5_1(X3))
| g_false_only(esk3_0,esk4_0)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( g_false_only(a,X1)
| g_true_only(a,X1)
| g_false(a,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( ~ g_false_only(a,X3)
| g_false_only(a,X1)
| g_false_only(esk3_0,esk4_0)
| g_true_only(X3,X4)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_34]),c_0_21]) ).
cnf(c_0_37,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(a,esk3_0) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( ~ g_true_only(a,esk3_0)
| g_false_only(a,X1)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ g_both(X4,X5)
| ~ g_both(X1,X2)
| g_true_only(esk6_0,X6)
| g_false_only(X4,esk5_1(X4))
| g_true_only(X1,X3)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_false_only(a,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_40,negated_conjecture,
( g_false_only(a,X3)
| g_false_only(esk3_0,esk4_0)
| g_true_only(a,X3)
| g_true_only(esk6_0,X2)
| g_true_only(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( ~ g_both(X2,X6)
| g_false_only(X3,X4)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X2,esk2_1(X2))
| g_false_only(a,esk3_0)
| g_true_only(X2,X5)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_9]) ).
cnf(c_0_42,negated_conjecture,
( g_false_only(a,X1)
| g_true_only(esk3_0,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( g_false_only(X5,X6)
| g_false_only(X1,X3)
| g_false_only(a,esk3_0)
| g_false_only(X1,esk2_1(X1))
| g_false_only(X5,esk5_1(X5))
| g_true_only(X5,X6)
| g_true_only(X1,X4)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( g_false_only(a,X2)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( g_false_only(X3,X5)
| g_false_only(X3,esk2_1(X3))
| g_false_only(a,esk3_0)
| g_false_only(X1,esk5_1(X1))
| g_true_only(X3,X5)
| g_true_only(X3,X4)
| g_true_only(a,X3)
| g_true_only(esk6_0,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( g_false_only(a,X1)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( g_false_only(X2,X4)
| g_false_only(X1,esk5_1(X1))
| g_false_only(a,esk3_0)
| g_true_only(X2,X5)
| g_true_only(X2,X4)
| g_true_only(esk6_0,X3)
| g_true_only(a,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_45]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( g_false_only(a,esk3_0)
| g_false_only(X1,esk5_1(X1))
| g_true_only(X1,X3)
| g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(ef,[status(thm)],[c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1)
| g_true_only(X1,esk5_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_48]),c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( ~ g_both(X4,X5)
| ~ g_both(X1,X2)
| g_true_only(esk6_0,X6)
| g_false_only(X4,esk5_1(X4))
| g_true_only(X1,X3)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_false_only(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(X1,X2)
| g_true_only(a,X1)
| g_true_only(X1,esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( ~ g_both(X2,X6)
| g_false_only(X3,X4)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X2,esk2_1(X2))
| g_false_only(esk3_0,esk4_0)
| g_true_only(X2,X5)
| g_true_only(X3,X4)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_9]) ).
cnf(c_0_53,plain,
( ~ g_true_only(X1,X2)
| g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_54,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(a,X1)
| g_true_only(X1,esk5_1(X1)) ),
inference(ef,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( g_false_only(X5,X6)
| g_false_only(X1,X3)
| g_false_only(esk3_0,esk4_0)
| g_false_only(X1,esk2_1(X1))
| g_false_only(X5,esk5_1(X5))
| g_true_only(X5,X6)
| g_true_only(X1,X4)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_9]) ).
cnf(c_0_56,plain,
( ~ g_false_only(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(a,X1)
| g_true(X1,esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( g_false_only(X3,X5)
| g_false_only(X3,esk2_1(X3))
| g_false_only(esk3_0,esk4_0)
| g_false_only(X1,esk5_1(X1))
| g_true_only(X3,X5)
| g_true_only(X3,X4)
| g_true_only(a,X3)
| g_true_only(esk6_0,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(ef,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( ~ g_false_only(X1,esk5_1(X1))
| g_false_only(a,esk3_0)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( g_false_only(X2,X4)
| g_false_only(X1,esk5_1(X1))
| g_false_only(esk3_0,esk4_0)
| g_true_only(X2,X5)
| g_true_only(X2,X4)
| g_true_only(esk6_0,X3)
| g_true_only(a,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_58]),c_0_46]) ).
cnf(c_0_61,negated_conjecture,
( g_false_only(X2,X4)
| g_false_only(X2,esk2_1(X2))
| g_false_only(a,esk3_0)
| g_true_only(X2,X4)
| g_true_only(X2,X3)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_43]),c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_false_only(X1,esk5_1(X1))
| g_true_only(X1,X3)
| g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(ef,[status(thm)],[c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( g_false_only(X1,X3)
| g_false_only(a,esk3_0)
| g_true_only(X1,X4)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_61]),c_0_46]) ).
cnf(c_0_64,negated_conjecture,
( g_false_only(X1,esk5_1(X1))
| g_false_only(esk3_0,esk4_0)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1)
| g_true_only(X1,esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(X2,X4)
| g_true_only(X2,X3)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_63]),c_0_46]) ).
cnf(c_0_66,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(a,X1)
| g_true_only(esk6_0,X2)
| g_true_only(X1,esk5_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_64]),c_0_46]) ).
cnf(c_0_67,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(ef,[status(thm)],[c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(a,X1)
| g_true_only(X1,esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(X1,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(a,X1)
| g_true(X1,esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
( g_false_only(a,esk3_0)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( ~ g_false_only(X1,esk5_1(X1))
| g_false_only(esk3_0,esk4_0)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
g_false_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_11,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( g_false_only(X2,X4)
| g_false_only(X2,esk2_1(X2))
| g_false_only(esk3_0,esk4_0)
| g_true_only(X2,X4)
| g_true_only(X2,X3)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_55]),c_0_72]) ).
cnf(c_0_75,negated_conjecture,
g_false(a,esk3_0),
inference(spm,[status(thm)],[c_0_19,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( g_false_only(X1,X3)
| g_false_only(esk3_0,esk4_0)
| g_true_only(X1,X4)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_74]),c_0_46]) ).
cnf(c_0_77,negated_conjecture,
~ g_true_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_23,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(esk6_0,X2)
| g_true_only(esk3_0,X1)
| g_true_only(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_76]),c_0_77]) ).
cnf(c_0_79,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(esk3_0,X1)
| g_true_only(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
( g_false_only(esk3_0,esk4_0)
| g_true_only(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_79]) ).
cnf(c_0_81,negated_conjecture,
g_true_only(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_80]),c_0_73])]) ).
cnf(c_0_82,negated_conjecture,
g_true(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_53,c_0_81]) ).
cnf(c_0_83,negated_conjecture,
~ g_false_only(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_56,c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( g_false_only(X2,X4)
| g_true_only(X2,X4)
| g_true_only(X2,X3)
| g_true_only(a,X2)
| g_true_only(esk6_0,X1) ),
inference(sr,[status(thm)],[c_0_76,c_0_83]) ).
cnf(c_0_85,negated_conjecture,
( g_true_only(X1,X4)
| g_true_only(X1,X3)
| g_true_only(esk6_0,X2)
| g_true_only(a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_84]),c_0_46]) ).
cnf(c_0_86,negated_conjecture,
( g_true_only(X1,X3)
| g_true_only(X1,X2)
| g_true_only(a,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_85]) ).
cnf(c_0_87,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1) ),
inference(ef,[status(thm)],[c_0_86]) ).
cnf(c_0_88,negated_conjecture,
g_true_only(a,X1),
inference(spm,[status(thm)],[c_0_11,c_0_87]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n020.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 12:04:03 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.53 Running first-order theorem proving
% 0.18/0.53 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
% 0.24/0.63 % Version: 3.5.1
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.63 % Starting sh5l with 300s (1) cores
% 0.24/0.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2874934 completed with status 0
% 0.24/0.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.63 % new_bool_1 with pid 2874943 completed with status 0
% 0.24/0.63 % Result found by new_bool_1
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.63 % Preprocessing time : 0.001 s
% 0.24/0.63 % Presaturation interreduction done
% 0.24/0.63
% 0.24/0.63 % Proof found!
% 0.24/0.63 % SZS status Theorem
% 0.24/0.63 % SZS output start CNFRefutation
% See solution above
% 0.24/0.63 % Parsed axioms : 5
% 0.24/0.63 % Removed by relevancy pruning/SinE : 0
% 0.24/0.63 % Initial clauses : 16
% 0.24/0.63 % Removed in clause preprocessing : 0
% 0.24/0.63 % Initial clauses in saturation : 16
% 0.24/0.63 % Processed clauses : 397
% 0.24/0.63 % ...of these trivial : 2
% 0.24/0.63 % ...subsumed : 173
% 0.24/0.63 % ...remaining for further processing : 222
% 0.24/0.63 % Other redundant clauses eliminated : 0
% 0.24/0.63 % Clauses deleted for lack of memory : 0
% 0.24/0.63 % Backward-subsumed : 155
% 0.24/0.63 % Backward-rewritten : 14
% 0.24/0.63 % Generated clauses : 1354
% 0.24/0.63 % ...of the previous two non-redundant : 1222
% 0.24/0.63 % ...aggressively subsumed : 0
% 0.24/0.63 % Contextual simplify-reflections : 43
% 0.24/0.63 % Paramodulations : 1092
% 0.24/0.63 % Factorizations : 254
% 0.24/0.63 % NegExts : 0
% 0.24/0.63 % Equation resolutions : 0
% 0.24/0.63 % Disequality decompositions : 0
% 0.24/0.63 % Total rewrite steps : 152
% 0.24/0.63 % ...of those cached : 141
% 0.24/0.63 % Propositional unsat checks : 0
% 0.24/0.63 % Propositional check models : 0
% 0.24/0.63 % Propositional check unsatisfiable : 0
% 0.24/0.63 % Propositional clauses : 0
% 0.24/0.63 % Propositional clauses after purity: 0
% 0.24/0.63 % Propositional unsat core size : 0
% 0.24/0.63 % Propositional preprocessing time : 0.000
% 0.24/0.63 % Propositional encoding time : 0.000
% 0.24/0.63 % Propositional solver time : 0.000
% 0.24/0.63 % Success case prop preproc time : 0.000
% 0.24/0.63 % Success case prop encoding time : 0.000
% 0.24/0.63 % Success case prop solver time : 0.000
% 0.24/0.63 % Current number of processed clauses : 29
% 0.24/0.63 % Positive orientable unit clauses : 9
% 0.24/0.63 % Positive unorientable unit clauses: 0
% 0.24/0.63 % Negative unit clauses : 5
% 0.24/0.63 % Non-unit-clauses : 15
% 0.24/0.63 % Current number of unprocessed clauses: 33
% 0.24/0.63 % ...number of literals in the above : 133
% 0.24/0.63 % Current number of archived formulas : 0
% 0.24/0.63 % Current number of archived clauses : 193
% 0.24/0.63 % Clause-clause subsumption calls (NU) : 2666
% 0.24/0.63 % Rec. Clause-clause subsumption calls : 902
% 0.24/0.63 % Non-unit clause-clause subsumptions : 359
% 0.24/0.63 % Unit Clause-clause subsumption calls : 62
% 0.24/0.63 % Rewrite failures with RHS unbound : 0
% 0.24/0.63 % BW rewrite match attempts : 9
% 0.24/0.63 % BW rewrite match successes : 9
% 0.24/0.63 % Condensation attempts : 0
% 0.24/0.63 % Condensation successes : 0
% 0.24/0.63 % Termbank termtop insertions : 22026
% 0.24/0.63 % Search garbage collected termcells : 275
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.050 s
% 0.24/0.63 % System time : 0.008 s
% 0.24/0.63 % Total time : 0.057 s
% 0.24/0.63 % Maximum resident set size: 3632 pages
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.235 s
% 0.24/0.63 % System time : 0.024 s
% 0.24/0.63 % Total time : 0.260 s
% 0.24/0.63 % Maximum resident set size: 4864 pages
% 0.24/0.63 % E exiting
%------------------------------------------------------------------------------