TSTP Solution File: LCL900+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL900+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 : Thu Aug 31 07:00:08 EDT 2023
% Result : Theorem 0.79s 0.89s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 106 ( 82 unt; 7 typ; 0 def)
% Number of atoms : 121 ( 56 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 16 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% 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 : 182 ( 22 sgn; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
'+': ( $i * $i ) > $i ).
tff(decl_23,type,
'0': $i ).
tff(decl_24,type,
'>=': ( $i * $i ) > $o ).
tff(decl_25,type,
'==>': ( $i * $i ) > $i ).
tff(decl_26,type,
'1': $i ).
tff(decl_27,type,
esk1_0: $i ).
tff(decl_28,type,
esk2_0: $i ).
fof(sos_03,axiom,
! [X1] : '+'(X1,'0') = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_02,axiom,
! [X1,X2] : '+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_06,axiom,
! [X7,X8] :
( ( '>='(X7,X8)
& '>='(X8,X7) )
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(sos_08,axiom,
! [X1] : '>='(X1,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_07,axiom,
! [X9,X10,X11] :
( '>='('+'(X9,X10),X11)
<=> '>='(X10,'==>'(X9,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_09,axiom,
! [X12,X13,X14] :
( '>='(X12,X13)
=> '>='('+'(X12,X14),'+'(X13,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(sos_12,axiom,
! [X1] : '+'(X1,'1') = '1',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_13,axiom,
! [X1,X2] : '==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_11,axiom,
! [X18,X19,X20] :
( '>='(X18,X19)
=> '>='('==>'(X20,X18),'==>'(X20,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_04,axiom,
! [X1] : '>='(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(sos_01,axiom,
! [X1,X2,X3] : '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(goals_14,conjecture,
! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(c_0_12,plain,
! [X28] : '+'(X28,'0') = X28,
inference(variable_rename,[status(thm)],[sos_03]) ).
fof(c_0_13,plain,
! [X26,X27] : '+'(X26,X27) = '+'(X27,X26),
inference(variable_rename,[status(thm)],[sos_02]) ).
fof(c_0_14,plain,
! [X33,X34] :
( ~ '>='(X33,X34)
| ~ '>='(X34,X33)
| X33 = X34 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).
fof(c_0_15,plain,
! [X38] : '>='(X38,'0'),
inference(variable_rename,[status(thm)],[sos_08]) ).
fof(c_0_16,plain,
! [X35,X36,X37] :
( ( ~ '>='('+'(X35,X36),X37)
| '>='(X36,'==>'(X35,X37)) )
& ( ~ '>='(X36,'==>'(X35,X37))
| '>='('+'(X35,X36),X37) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])]) ).
fof(c_0_17,plain,
! [X39,X40,X41] :
( ~ '>='(X39,X40)
| '>='('+'(X39,X41),'+'(X40,X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])]) ).
cnf(c_0_18,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X48] : '+'(X48,'1') = '1',
inference(variable_rename,[status(thm)],[sos_12]) ).
cnf(c_0_21,plain,
( X1 = X2
| ~ '>='(X1,X2)
| ~ '>='(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( '>='(X2,'==>'(X1,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( '>='('+'(X1,X3),'+'(X2,X3))
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
'+'(X1,'1') = '1',
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X49,X50] : '==>'('==>'(X49,X50),X50) = '==>'('==>'(X50,X49),X49),
inference(variable_rename,[status(thm)],[sos_13]) ).
cnf(c_0_28,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
'>='(X1,'==>'(X2,'0')),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_30,plain,
'>='('+'(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_25]) ).
cnf(c_0_31,plain,
'+'('1',X1) = '1',
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_32,plain,
'==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
'==>'(X1,'0') = '0',
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
'>='('1',X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( '>='('+'(X2,X1),X3)
| ~ '>='(X1,'==>'(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
'==>'('==>'('0',X1),X1) = '0',
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
'>='(X1,'==>'('1',X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_34])]) ).
cnf(c_0_38,plain,
'>='('+'('==>'('0',X1),X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22])]) ).
cnf(c_0_39,plain,
'==>'('1',X1) = '0',
inference(spm,[status(thm)],[c_0_28,c_0_37]) ).
cnf(c_0_40,plain,
'>='('==>'('0',X1),X1),
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
cnf(c_0_41,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_42,plain,
'==>'('==>'(X1,'1'),'1') = '==>'('0',X1),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_43,plain,
'==>'('0',X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_41])]) ).
fof(c_0_44,plain,
! [X45,X46,X47] :
( ~ '>='(X45,X46)
| '>='('==>'(X47,X45),'==>'(X47,X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])]) ).
cnf(c_0_45,plain,
'==>'('==>'(X1,'1'),'1') = X1,
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_46,plain,
! [X29] : '>='(X29,X29),
inference(variable_rename,[status(thm)],[sos_04]) ).
cnf(c_0_47,plain,
( '>='('==>'(X3,X1),'==>'(X3,X2))
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,plain,
( '>='('+'('==>'(X1,'1'),X2),'1')
| ~ '>='(X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_49,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
'>='('==>'(X1,'1'),'==>'(X1,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_51,plain,
'>='('+'(X1,'==>'('==>'(X2,X1),'1')),'1'),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_19]) ).
cnf(c_0_52,plain,
( '>='('0','==>'(X1,X2))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_53,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
fof(c_0_54,plain,
! [X23,X24,X25] : '+'('+'(X23,X24),X25) = '+'(X23,'+'(X24,X25)),
inference(variable_rename,[status(thm)],[sos_01]) ).
cnf(c_0_55,plain,
( X1 = '1'
| ~ '>='(X1,'1') ),
inference(spm,[status(thm)],[c_0_21,c_0_34]) ).
cnf(c_0_56,plain,
'>='('+'(X1,'==>'(X1,'1')),X2),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_57,plain,
'+'(X1,'==>'('==>'(X2,X1),'1')) = '1',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_51]),c_0_34])]) ).
cnf(c_0_58,plain,
'>='('0','==>'('+'(X1,'==>'(X1,X2)),X2)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
'+'(X1,'==>'(X1,'1')) = '1',
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
'+'(X1,'==>'('==>'('==>'(X1,X2),X2),'1')) = '1',
inference(spm,[status(thm)],[c_0_57,c_0_32]) ).
cnf(c_0_62,plain,
'==>'('+'(X1,'==>'(X1,X2)),X2) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_58]),c_0_22])]) ).
cnf(c_0_63,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[c_0_23,c_0_49]) ).
cnf(c_0_64,plain,
'+'(X1,'+'(X2,'==>'('+'(X1,X2),'1'))) = '1',
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,plain,
'+'(X1,'+'(X2,X3)) = '+'(X2,'+'(X3,X1)),
inference(spm,[status(thm)],[c_0_59,c_0_19]) ).
cnf(c_0_66,plain,
'+'(X1,'+'('==>'(X1,X2),'==>'(X2,'1'))) = '1',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_43]),c_0_59]) ).
cnf(c_0_67,plain,
'>='('+'(X1,'==>'('+'(X2,X1),'1')),'==>'(X2,'1')),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
'>='(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1)))),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_69,plain,
'+'('==>'(X1,'1'),'+'(X2,'==>'(X2,X1))) = '1',
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
'>='('==>'('+'(X1,X2),'1'),'==>'(X2,'==>'(X1,'1'))),
inference(spm,[status(thm)],[c_0_23,c_0_67]) ).
cnf(c_0_71,plain,
'>='('0','==>'(X1,'==>'(X2,X1))),
inference(spm,[status(thm)],[c_0_52,c_0_41]) ).
cnf(c_0_72,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_66,c_0_32]),c_0_39]),c_0_43]),c_0_19]) ).
cnf(c_0_73,plain,
'>='('==>'(X1,X2),'==>'('+'('==>'(X2,'1'),X1),'1')),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
'>='('==>'('+'('==>'(X1,'1'),X2),'1'),'==>'(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_32]),c_0_39]),c_0_43]) ).
cnf(c_0_75,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_71]),c_0_22])]) ).
cnf(c_0_76,plain,
'>='('+'(X1,'==>'(X2,'==>'(X1,'1'))),'==>'(X2,'1')),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
cnf(c_0_77,plain,
'>='('0','==>'('==>'(X1,'1'),'==>'(X1,X2))),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_78,plain,
'==>'('+'('==>'(X1,'1'),X2),'1') = '==>'(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_73]),c_0_74])]) ).
cnf(c_0_79,plain,
'==>'('==>'('==>'(X1,X2),X2),X2) = '==>'(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_75]),c_0_43]) ).
cnf(c_0_80,plain,
'>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1'))),
inference(spm,[status(thm)],[c_0_23,c_0_76]) ).
cnf(c_0_81,plain,
'==>'('==>'(X1,'1'),'==>'(X1,X2)) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_77]),c_0_22])]) ).
cnf(c_0_82,plain,
'==>'('==>'(X1,X2),'1') = '+'('==>'(X2,'1'),X1),
inference(spm,[status(thm)],[c_0_45,c_0_78]) ).
cnf(c_0_83,plain,
'==>'('==>'('==>'(X1,X2),X2),X1) = '==>'(X2,X1),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_84,plain,
'==>'(X1,'==>'(X2,'1')) = '==>'(X2,'==>'(X1,'1')),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_80]),c_0_80])]) ).
cnf(c_0_85,plain,
'==>'(X1,'==>'('==>'(X1,'1'),X2)) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_32]),c_0_39]),c_0_43]) ).
cnf(c_0_86,plain,
'+'(X1,'+'(X2,'==>'('+'(X2,X1),'1'))) = '1',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_19]) ).
cnf(c_0_87,plain,
'+'('==>'(X1,'1'),'==>'('==>'(X1,X2),X2)) = '+'('==>'(X1,'1'),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_82]) ).
cnf(c_0_88,plain,
'==>'('==>'(X1,'1'),'==>'(X2,'1')) = '==>'(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_32]),c_0_39]),c_0_43]) ).
cnf(c_0_89,plain,
'==>'('==>'('==>'('==>'(X1,'1'),X2),X1),X1) = '==>'('==>'(X1,'1'),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_85]),c_0_43]) ).
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),'1')),'==>'(X2,'1')),
inference(spm,[status(thm)],[c_0_63,c_0_86]) ).
cnf(c_0_92,plain,
'+'(X1,'==>'(X2,'+'('==>'(X1,'1'),X2))) = '+'(X1,'==>'(X2,'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(spm,[status(thm)],[c_0_87,c_0_88]),c_0_82]),c_0_39]),c_0_25]),c_0_84]),c_0_82]),c_0_82]),c_0_39]),c_0_25]) ).
cnf(c_0_93,plain,
'==>'('+'(X1,X2),'1') = '==>'(X2,'==>'(X1,'1')),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_89]),c_0_39]),c_0_43]),c_0_39]),c_0_43]) ).
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,'==>'(X1,X2)),'+'(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_91,c_0_92]),c_0_93]),c_0_88]),c_0_82]),c_0_93]),c_0_82]),c_0_39]),c_0_25]),c_0_19]) ).
cnf(c_0_96,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_97,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_95]),c_0_95])]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL900+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Fri Aug 25 06:08:08 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.79/0.89 % Version : CSE_E---1.5
% 0.79/0.89 % Problem : theBenchmark.p
% 0.79/0.89 % Proof found
% 0.79/0.89 % SZS status Theorem for theBenchmark.p
% 0.79/0.89 % SZS output start Proof
% See solution above
% 0.86/0.90 % Total time : 0.316000 s
% 0.86/0.90 % SZS output end Proof
% 0.86/0.90 % Total time : 0.319000 s
%------------------------------------------------------------------------------