%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL900+1 : TPTP v9.2.1. Released v5.5.0.
% 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 : n028.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 04:45:19 PM UTC 2026
% Result : Theorem 62.00s 36.35s
% Output : CNFRefutation 62.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 103 ( 84 unt; 0 def)
% Number of atoms : 130 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 21 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 204 ( 23 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_07,axiom,
! [X9,X10,X11] :
( '>='('+'(X9,X10),X11)
<=> '>='(X10,'==>'(X9,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_03,axiom,
! [X1] : '+'(X1,'0') = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_04,axiom,
! [X1] : '>='(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(sos_06,axiom,
! [X7,X8] :
( ( '>='(X7,X8)
& '>='(X8,X7) )
=> X7 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_08,axiom,
! [X1] : '>='(X1,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_02,axiom,
! [X1,X2] : '+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_05,axiom,
! [X4,X5,X6] :
( ( '>='(X4,X5)
& '>='(X5,X6) )
=> '>='(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(sos_12,axiom,
! [X1] : '+'(X1,'1') = '1',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_13,axiom,
! [X1,X2] : '==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(sos_01,axiom,
! [X1,X2,X3] : '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(goals_14,conjecture,
! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(c_0_11,plain,
! [X65,X66,X67] :
( ( ~ '>='('+'(X65,X66),X67)
| '>='(X66,'==>'(X65,X67)) )
& ( ~ '>='(X66,'==>'(X65,X67))
| '>='('+'(X65,X66),X67) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])]) ).
fof(c_0_12,plain,
! [X58] : '+'(X58,'0') = X58,
inference(variable_rename,[status(thm)],[sos_03]) ).
cnf(c_0_13,plain,
( '>='(X2,'==>'(X1,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X59] : '>='(X59,X59),
inference(variable_rename,[status(thm)],[sos_04]) ).
fof(c_0_16,plain,
! [X63,X64] :
( ~ '>='(X63,X64)
| ~ '>='(X64,X63)
| X63 = X64 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).
cnf(c_0_17,plain,
( '>='('0','==>'(X1,X2))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X68] : '>='(X68,'0'),
inference(variable_rename,[status(thm)],[sos_08]) ).
fof(c_0_20,plain,
! [X56,X57] : '+'(X56,X57) = '+'(X57,X56),
inference(variable_rename,[status(thm)],[sos_02]) ).
cnf(c_0_21,plain,
( X1 = X2
| ~ '>='(X1,X2)
| ~ '>='(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
'>='('0','==>'(X1,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( '>='('+'(X2,X1),X3)
| ~ '>='(X1,'==>'(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,plain,
'==>'(X1,X1) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
fof(c_0_27,plain,
! [X60,X61,X62] :
( ~ '>='(X60,X61)
| ~ '>='(X61,X62)
| '>='(X60,X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_28,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_29,plain,
'>='('+'(X1,X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23])]) ).
fof(c_0_30,plain,
! [X78] : '+'(X78,'1') = '1',
inference(variable_rename,[status(thm)],[sos_12]) ).
fof(c_0_31,plain,
! [X79,X80] : '==>'('==>'(X79,X80),X80) = '==>'('==>'(X80,X79),X79),
inference(variable_rename,[status(thm)],[sos_13]) ).
cnf(c_0_32,plain,
( '>='(X1,X3)
| ~ '>='(X1,X2)
| ~ '>='(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
'+'(X1,'1') = '1',
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
'==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='(X1,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_38,plain,
'>='(X1,'==>'(X2,'0')),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_39,plain,
'>='('1',X1),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_40,plain,
( '>='('+'('==>'(X1,X2),X3),X2)
| ~ '>='(X3,'==>'('==>'(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_41,plain,
'>='(X1,'==>'(X2,'==>'(X3,X1))),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_42,plain,
'==>'(X1,'0') = '0',
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( X1 = '1'
| ~ '>='(X1,'1') ),
inference(spm,[status(thm)],[c_0_21,c_0_39]) ).
cnf(c_0_44,plain,
'>='('+'(X1,'==>'('==>'(X2,X1),X3)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24]) ).
cnf(c_0_45,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_46,plain,
'==>'('==>'('0',X1),X1) = '0',
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_47,plain,
'+'(X1,'==>'('==>'(X2,X1),'1')) = '1',
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
'>='('0','==>'('+'(X1,'==>'(X1,X2)),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_45]) ).
cnf(c_0_49,plain,
'>='('==>'('0',X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_14]) ).
fof(c_0_50,plain,
! [X53,X54,X55] : '+'('+'(X53,X54),X55) = '+'(X53,'+'(X54,X55)),
inference(variable_rename,[status(thm)],[sos_01]) ).
cnf(c_0_51,plain,
( '>='(X1,'==>'('1',X2))
| ~ '>='('1',X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_52,plain,
'+'(X1,'==>'('==>'('==>'(X1,X2),X2),'1')) = '1',
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_53,plain,
'==>'('+'(X1,'==>'(X1,X2)),X2) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_48]),c_0_23])]) ).
cnf(c_0_54,plain,
'==>'('0',X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_49]),c_0_33])]) ).
cnf(c_0_55,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
'>='(X1,'==>'('1',X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_39])]) ).
cnf(c_0_57,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_58,plain,
'+'(X1,'+'('==>'(X1,X2),'==>'(X2,'1'))) = '1',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_59,plain,
'==>'('1',X1) = '0',
inference(spm,[status(thm)],[c_0_37,c_0_56]) ).
cnf(c_0_60,plain,
'+'(X1,'+'(X2,X3)) = '+'(X3,'+'(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_55]) ).
cnf(c_0_61,plain,
'>='('+'(X1,'+'(X2,'==>'('+'(X1,X2),X3))),X3),
inference(spm,[status(thm)],[c_0_45,c_0_55]) ).
cnf(c_0_62,plain,
'>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X2,X1))))),
inference(spm,[status(thm)],[c_0_13,c_0_57]) ).
cnf(c_0_63,plain,
'+'(X1,'+'(X2,'==>'(X1,'==>'(X2,'1')))) = '1',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_35]),c_0_59]),c_0_54]),c_0_24]) ).
cnf(c_0_64,plain,
( '>='('+'(X1,X2),'==>'(X3,X4))
| ~ '>='('+'(X2,'+'(X3,X1)),X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_60]) ).
cnf(c_0_65,plain,
'>='('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,X3)))),X3),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
cnf(c_0_66,plain,
'>='('+'(X1,'==>'('+'(X2,X1),X3)),'==>'(X2,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_61]) ).
cnf(c_0_67,plain,
( '>='(X1,'==>'('+'(X2,X3),X4))
| ~ '>='('+'(X2,'+'(X3,X1)),X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_55]) ).
cnf(c_0_68,plain,
'>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1'))),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
'>='('0','==>'(X1,'==>'(X2,X1))),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_70,plain,
'>='('+'(X1,'==>'(X2,'==>'(X1,X3))),'==>'(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_24]) ).
cnf(c_0_71,plain,
'>='('==>'('+'(X1,X2),X3),'==>'(X2,'==>'(X1,X3))),
inference(spm,[status(thm)],[c_0_13,c_0_66]) ).
cnf(c_0_72,plain,
'>='('==>'(X1,'==>'(X2,X3)),'==>'('+'(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_73,plain,
'==>'(X1,'==>'(X2,'1')) = '==>'(X2,'==>'(X1,'1')),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_68]),c_0_68])]) ).
cnf(c_0_74,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_69]),c_0_23])]) ).
cnf(c_0_75,plain,
'>='('==>'(X1,'==>'(X2,X3)),'==>'(X2,'==>'(X1,X3))),
inference(spm,[status(thm)],[c_0_13,c_0_70]) ).
cnf(c_0_76,plain,
'==>'('==>'(X1,'1'),'1') = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_59]),c_0_54]) ).
cnf(c_0_77,plain,
'==>'('+'(X1,X2),X3) = '==>'(X2,'==>'(X1,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_71]),c_0_72])]) ).
cnf(c_0_78,plain,
'==>'('==>'(X1,'1'),'==>'(X2,'1')) = '==>'(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_35]),c_0_59]),c_0_54]) ).
cnf(c_0_79,plain,
'>='('0','==>'('+'(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_80,plain,
'==>'('==>'('==>'(X1,X2),X2),X1) = '==>'(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_35]),c_0_74]),c_0_54]) ).
cnf(c_0_81,plain,
'==>'(X1,'==>'(X2,X3)) = '==>'(X2,'==>'(X1,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_75]),c_0_75])]) ).
cnf(c_0_82,plain,
'==>'('==>'(X1,'==>'(X2,'1')),'1') = '+'(X2,X1),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
'==>'('==>'('==>'(X1,'1'),'==>'(X2,'1')),X1) = '==>'('==>'(X1,X2),X2),
inference(spm,[status(thm)],[c_0_35,c_0_78]) ).
cnf(c_0_84,plain,
'==>'('+'(X1,X2),X1) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_79]),c_0_23])]) ).
cnf(c_0_85,plain,
'==>'('==>'(X1,'==>'('==>'(X2,'==>'(X1,X3)),X3)),X2) = '==>'('==>'(X1,X3),X2),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
'==>'('==>'(X1,X2),'1') = '+'('==>'(X2,'1'),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_59]),c_0_54]),c_0_26]),c_0_54]) ).
cnf(c_0_87,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_88,plain,
'==>'('==>'(X1,'1'),'1') = '==>'('0',X1),
inference(spm,[status(thm)],[c_0_35,c_0_59]) ).
cnf(c_0_89,plain,
'==>'('==>'(X1,'+'(X1,X2)),'+'(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_84]),c_0_54]) ).
fof(c_0_90,negated_conjecture,
~ ! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
inference(assume_negation,[status(cth)],[goals_14]) ).
cnf(c_0_91,plain,
'==>'('==>'(X1,'+'(X1,X2)),X2) = '==>'('==>'(X1,'1'),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86]),c_0_26]),c_0_87]) ).
cnf(c_0_92,plain,
'==>'('==>'(X1,'1'),'1') = X1,
inference(rw,[status(thm)],[c_0_88,c_0_54]) ).
cnf(c_0_93,plain,
'==>'('==>'(X1,'+'(X1,X2)),'==>'(X3,'+'(X1,X2))) = '==>'(X3,X1),
inference(spm,[status(thm)],[c_0_81,c_0_89]) ).
fof(c_0_94,negated_conjecture,
'+'(esk1_0,'==>'(esk1_0,esk2_0)) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
cnf(c_0_95,plain,
'==>'('==>'('==>'(X1,'1'),X2),X1) = '==>'(X2,'+'(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_91]),c_0_92]),c_0_34]),c_0_34]),c_0_81]),c_0_86]),c_0_92]) ).
cnf(c_0_96,plain,
'==>'('==>'(X1,'+'(X1,'+'(X2,X3))),X2) = '==>'('==>'(X1,'1'),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_91]),c_0_93]) ).
cnf(c_0_97,plain,
'+'('1',X1) = '1',
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_98,negated_conjecture,
'+'(esk1_0,'==>'(esk1_0,esk2_0)) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,plain,
'==>'(X1,'+'('==>'(X2,'1'),X1)) = '==>'(X2,'+'(X2,'==>'(X1,'1'))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_86]),c_0_26]),c_0_87]),c_0_97]),c_0_34]),c_0_97]),c_0_34]),c_0_81]),c_0_86]) ).
cnf(c_0_100,negated_conjecture,
'+'(esk1_0,'==>'('==>'(esk2_0,'1'),'==>'(esk1_0,'1'))) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(rw,[status(thm)],[c_0_98,c_0_78]) ).
cnf(c_0_101,plain,
'+'(X1,'==>'('==>'(X2,'1'),'==>'(X1,'1'))) = '+'(X2,'==>'(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_99]),c_0_86]),c_0_77]),c_0_86]),c_0_26]),c_0_87]),c_0_24]),c_0_77]),c_0_24]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL900+1 : TPTP v9.2.1. Released v5.5.0.
% 0.12/0.13 % 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
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 4 23:15:01 EDT 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % start to proof: theBenchmark
% 62.00/36.35 % Version : CSE_E---1.7
% 62.00/36.35 % Problem : theBenchmark.p
% 62.00/36.35 % SZS status Theorem for theBenchmark.p
% 62.00/36.35 % SZS output start CNFRefutation
% See solution above
% 62.30/36.62 % Total time : 27.427s
%------------------------------------------------------------------------------