TSTP Solution File: SYO607+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Fri Sep 1 04:12:04 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 6 unt; 12 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% 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 : 237 ( 83 sgn; 35 !; 24 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
a: $i ).
tff(decl_23,type,
g_false_only: ( $i * $i ) > $o ).
tff(decl_24,type,
g_true_only: ( $i * $i ) > $o ).
tff(decl_25,type,
g_both: ( $i * $i ) > $o ).
tff(decl_26,type,
g_true: ( $i * $i ) > $o ).
tff(decl_27,type,
g_false: ( $i * $i ) > $o ).
tff(decl_28,type,
esk1_1: $i > $i ).
tff(decl_29,type,
esk2_1: $i > $i ).
tff(decl_30,type,
esk3_0: $i ).
tff(decl_31,type,
esk4_0: $i ).
tff(decl_32,type,
esk5_1: $i > $i ).
tff(decl_33,type,
esk6_0: $i ).
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,
! [X20,X21] :
( ( g_true(X20,X21)
| ~ g_true_only(X20,X21) )
& ( ~ g_false(X20,X21)
| ~ g_true_only(X20,X21) )
& ( ~ g_true(X20,X21)
| g_false(X20,X21)
| g_true_only(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X22,X23] :
( ( g_true(X22,X23)
| ~ g_both(X22,X23) )
& ( g_false(X22,X23)
| ~ g_both(X22,X23) )
& ( ~ g_true(X22,X23)
| ~ g_false(X22,X23)
| g_both(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[both_g])])]) ).
fof(c_0_9,negated_conjecture,
! [X5,X6,X7,X9,X10,X12,X15,X16,X19] :
( ( ~ g_false_only(a,X5)
| ~ g_false_only(X5,X6) )
& ~ g_true_only(X7,esk1_1(X7))
& ( g_false_only(a,esk3_0)
| ~ g_both(a,X9)
| g_true_only(a,X9)
| g_true_only(X9,X12)
| ~ g_both(X15,X16)
| g_false_only(X15,esk5_1(X15))
| g_true_only(esk6_0,X19) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(a,X9)
| g_true_only(a,X9)
| g_true_only(X9,X12)
| ~ g_both(X15,X16)
| g_false_only(X15,esk5_1(X15))
| g_true_only(esk6_0,X19) )
& ( g_false_only(a,esk3_0)
| ~ g_both(X9,X10)
| g_false_only(X9,esk2_1(X9))
| g_true_only(a,X9)
| g_true_only(X9,X12)
| ~ g_both(X15,X16)
| g_false_only(X15,esk5_1(X15))
| g_true_only(esk6_0,X19) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(X9,X10)
| g_false_only(X9,esk2_1(X9))
| g_true_only(a,X9)
| g_true_only(X9,X12)
| ~ g_both(X15,X16)
| g_false_only(X15,esk5_1(X15))
| g_true_only(esk6_0,X19) ) ),
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,
! [X26,X27] :
( g_true_only(X26,X27)
| g_both(X26,X27)
| g_false_only(X26,X27) ),
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,
! [X24,X25] :
( ( g_false(X24,X25)
| ~ g_false_only(X24,X25) )
& ( ~ g_true(X24,X25)
| ~ g_false_only(X24,X25) )
& ( ~ g_false(X24,X25)
| g_true(X24,X25)
| g_false_only(X24,X25) ) ),
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_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_40,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_41,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_42,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_43,negated_conjecture,
( g_true_only(a,esk3_0)
| g_false_only(a,esk3_0) ),
inference(ef,[status(thm)],[c_0_39]) ).
cnf(c_0_44,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_40]) ).
cnf(c_0_45,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_41,c_0_16]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( g_true_only(a,esk3_0)
| ~ g_false_only(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_43]) ).
cnf(c_0_47,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_44]) ).
cnf(c_0_48,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_39]) ).
cnf(c_0_49,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_39]) ).
cnf(c_0_50,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_45,c_0_16]),c_0_42]) ).
cnf(c_0_51,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_46,c_0_47]),c_0_48]),c_0_48]),c_0_49]) ).
cnf(c_0_52,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_50]) ).
cnf(c_0_53,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_51]) ).
cnf(c_0_54,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_52]) ).
cnf(c_0_55,negated_conjecture,
( g_true_only(a,X1)
| ~ g_false_only(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_53]) ).
cnf(c_0_56,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_54]) ).
cnf(c_0_57,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(a,X2)
| g_true_only(X2,X3)
| g_false_only(a,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( g_true_only(a,X1)
| g_true_only(a,X2)
| g_false_only(a,esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
cnf(c_0_59,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_60,negated_conjecture,
( g_true_only(a,X1)
| g_false_only(a,esk3_0) ),
inference(ef,[status(thm)],[c_0_58]) ).
cnf(c_0_61,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_59,c_0_16]) ).
cnf(c_0_62,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_40]) ).
cnf(c_0_63,negated_conjecture,
g_false_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_19,c_0_60]) ).
cnf(c_0_64,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_61,c_0_16]),c_0_62]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
~ g_false_only(esk3_0,X1),
inference(spm,[status(thm)],[c_0_27,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( g_true_only(esk6_0,X1)
| g_true_only(a,X2)
| g_true_only(X3,X4)
| g_true_only(X2,X5)
| g_true_only(X2,X6)
| g_false_only(X3,esk5_1(X3))
| g_false_only(X3,X4) ),
inference(sr,[status(thm)],[c_0_64,c_0_65]) ).
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(ef,[status(thm)],[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_65,c_0_67]),c_0_65]) ).
cnf(c_0_69,negated_conjecture,
~ g_true_only(a,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_63]) ).
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
% 0.00/0.12 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n008.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 : 300
% 0.12/0.34 % DateTime : Sat Aug 26 01:40:03 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.65 % Version : CSE_E---1.5
% 0.19/0.65 % Problem : theBenchmark.p
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark.p
% 0.19/0.65 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.080000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.083000 s
%------------------------------------------------------------------------------