%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL900+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Sun Jul 17 10:18:32 EDT 2022
% Result : Theorem 0.32s 17.50s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 115 ( 92 unt; 0 def)
% Number of atoms : 146 ( 79 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 28 ~; 25 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 241 ( 26 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_03,axiom,
! [X1] : '+'(X1,'0') = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_03) ).
fof(sos_02,axiom,
! [X1,X2] : '+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_02) ).
fof(sos_09,axiom,
! [X12,X13,X14] :
( '>='(X12,X13)
=> '>='('+'(X12,X14),'+'(X13,X14)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_09) ).
fof(sos_08,axiom,
! [X1] : '>='(X1,'0'),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_08) ).
fof(sos_12,axiom,
! [X1] : '+'(X1,'1') = '1',
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_12) ).
fof(sos_06,axiom,
! [X7,X8] :
( ( '>='(X7,X8)
& '>='(X8,X7) )
=> X7 = X8 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_06) ).
fof(sos_07,axiom,
! [X9,X10,X11] :
( '>='('+'(X9,X10),X11)
<=> '>='(X10,'==>'(X9,X11)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_07) ).
fof(sos_04,axiom,
! [X1] : '>='(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_04) ).
fof(sos_01,axiom,
! [X1,X2,X3] : '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_01) ).
fof(sos_13,axiom,
! [X1,X2] : '==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_13) ).
fof(sos_11,axiom,
! [X18,X19,X20] :
( '>='(X18,X19)
=> '>='('==>'(X20,X18),'==>'(X20,X19)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_11) ).
fof(goals_14,conjecture,
! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals_14) ).
fof(c_0_12,plain,
! [X2] : '+'(X2,'0') = X2,
inference(variable_rename,[status(thm)],[sos_03]) ).
fof(c_0_13,plain,
! [X3,X4] : '+'(X3,X4) = '+'(X4,X3),
inference(variable_rename,[status(thm)],[sos_02]) ).
fof(c_0_14,plain,
! [X15,X16,X17] :
( ~ '>='(X15,X16)
| '>='('+'(X15,X17),'+'(X16,X17)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])]) ).
cnf(c_0_15,plain,
'+'(X1,'0') = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
'+'(X1,X2) = '+'(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X2] : '>='(X2,'0'),
inference(variable_rename,[status(thm)],[sos_08]) ).
fof(c_0_18,plain,
! [X2] : '+'(X2,'1') = '1',
inference(variable_rename,[status(thm)],[sos_12]) ).
cnf(c_0_19,plain,
( '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
'>='(X1,'0'),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
'+'(X1,'1') = '1',
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X9,X10] :
( ~ '>='(X9,X10)
| ~ '>='(X10,X9)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).
cnf(c_0_24,plain,
'>='('+'(X1,X2),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,plain,
'+'('1',X1) = '1',
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
fof(c_0_26,plain,
! [X12,X13,X14,X12,X13,X14] :
( ( ~ '>='('+'(X12,X13),X14)
| '>='(X13,'==>'(X12,X14)) )
& ( ~ '>='(X13,'==>'(X12,X14))
| '>='('+'(X12,X13),X14) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
fof(c_0_27,plain,
! [X2] : '>='(X2,X2),
inference(variable_rename,[status(thm)],[sos_04]) ).
cnf(c_0_28,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
'>='('1',X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
'>='(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X4,X5,X6] : '+'('+'(X4,X5),X6) = '+'(X4,'+'(X5,X6)),
inference(variable_rename,[status(thm)],[sos_01]) ).
cnf(c_0_34,plain,
( X1 = '1'
| ~ '>='(X1,'1') ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X3,X4] : '==>'('==>'(X3,X4),X4) = '==>'('==>'(X4,X3),X3),
inference(variable_rename,[status(thm)],[sos_13]) ).
cnf(c_0_37,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_38,plain,
'>='(X1,'==>'(X2,'0')),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_39,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
'+'(X1,'==>'(X1,'1')) = '1',
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
'==>'('==>'(X1,X2),X2) = '==>'('==>'(X2,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
'==>'(X1,'0') = '0',
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_44,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_45,plain,
( '>='(X1,'==>'('+'(X2,X3),X4))
| ~ '>='('+'(X2,'+'(X3,X1)),X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_46,plain,
'+'(X1,'+'('==>'(X1,'1'),X2)) = '1',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_25]) ).
cnf(c_0_47,plain,
'==>'('==>'('0',X1),X1) = '0',
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
'>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X1,X2))))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
'+'(X1,'+'(X2,X3)) = '+'(X2,'+'(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_39]) ).
cnf(c_0_50,plain,
'+'(X1,'+'(X2,'==>'('+'(X1,X2),'1'))) = '1',
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
( '+'(X1,X2) = '+'(X3,X2)
| ~ '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X3,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_52,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_53,plain,
'>='(X1,'==>'('1',X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40]),c_0_29])]) ).
cnf(c_0_54,plain,
'>='('==>'('0',X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_15]) ).
cnf(c_0_55,plain,
'==>'(X1,'==>'(X2,'+'(X2,X1))) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_20]) ).
cnf(c_0_56,plain,
'+'(X1,'+'(X2,'==>'('+'(X2,X1),'1'))) = '1',
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
( '+'(X1,'==>'(X2,'1')) = '1'
| ~ '>='(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_29])]) ).
cnf(c_0_58,plain,
'>='(X1,'==>'(X2,'==>'(X3,'+'(X1,X2)))),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_59,plain,
'>='(X1,'==>'(X2,X2)),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
cnf(c_0_60,plain,
'==>'('1',X1) = '0',
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_61,plain,
'==>'('0',X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_54]),c_0_52])]) ).
cnf(c_0_62,plain,
'==>'('+'(X1,'==>'('+'(X1,X2),'1')),'==>'(X2,'1')) = '0',
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
'+'(X1,'==>'('==>'(X2,'==>'(X3,'+'(X1,X2))),'1')) = '1',
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
'==>'(X1,X1) = '0',
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
cnf(c_0_65,plain,
'==>'('==>'(X1,'1'),'1') = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_61]) ).
cnf(c_0_66,plain,
'==>'(X1,'==>'(X2,'==>'(X3,'+'(X1,X2)))) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_15]),c_0_65]) ).
cnf(c_0_67,plain,
'>='('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,X3)))),X3),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_68,plain,
'==>'(X1,'==>'(X2,'==>'(X3,'+'(X2,X1)))) = '0',
inference(spm,[status(thm)],[c_0_66,c_0_16]) ).
cnf(c_0_69,plain,
'==>'('+'(X1,'==>'('+'(X2,X1),'1')),'==>'(X2,'1')) = '0',
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_70,plain,
'+'(X1,'+'(X2,'==>'(X2,'==>'(X1,'1')))) = '1',
inference(spm,[status(thm)],[c_0_34,c_0_67]) ).
cnf(c_0_71,plain,
'==>'(X1,'==>'(X2,'==>'('==>'('+'(X2,X1),X3),X3))) = '0',
inference(spm,[status(thm)],[c_0_68,c_0_41]) ).
cnf(c_0_72,plain,
'==>'('+'(X1,'==>'('+'('==>'(X2,'1'),X1),'1')),X2) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_41]),c_0_60]),c_0_61]) ).
cnf(c_0_73,plain,
'==>'(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1)))) = '0',
inference(spm,[status(thm)],[c_0_55,c_0_39]) ).
cnf(c_0_74,plain,
'+'('==>'(X1,'1'),'+'(X2,'==>'(X2,X1))) = '1',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_41]),c_0_60]),c_0_61]) ).
cnf(c_0_75,plain,
( '>='('+'(X1,X2),'+'(X3,X1))
| ~ '>='(X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_76,plain,
'==>'('==>'('+'('==>'(X1,'1'),X2),'1'),'==>'(X2,X1)) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_61]) ).
cnf(c_0_77,plain,
'==>'('==>'(X1,X2),'==>'('+'('==>'(X2,'1'),X1),'1')) = '0',
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
'>='('+'(X1,X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_20]),c_0_21])]) ).
fof(c_0_79,plain,
! [X21,X22,X23] :
( ~ '>='(X21,X22)
| '>='('==>'(X23,X21),'==>'(X23,X22)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])]) ).
cnf(c_0_80,plain,
'==>'('+'('==>'(X1,'1'),X2),'1') = '==>'(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_76]),c_0_61]),c_0_77]),c_0_61]) ).
cnf(c_0_81,plain,
( '>='('+'(X1,X2),'+'(X2,X3))
| ~ '>='(X1,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_82,plain,
'>='(X1,'==>'('+'(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_45,c_0_78]) ).
cnf(c_0_83,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
'==>'('==>'(X1,X2),'1') = '+'('==>'(X2,'1'),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_80]),c_0_60]),c_0_61]) ).
cnf(c_0_85,plain,
( '+'(X1,X2) = '+'(X3,X1)
| ~ '>='('+'(X1,X2),'+'(X3,X1))
| ~ '>='(X3,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_81]) ).
cnf(c_0_86,plain,
'>='(X1,'==>'(X2,'+'(X1,X2))),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_87,plain,
'==>'('+'(X1,X2),X1) = '0',
inference(spm,[status(thm)],[c_0_37,c_0_82]) ).
cnf(c_0_88,plain,
( '==>'(X1,X2) = '==>'(X1,X3)
| ~ '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X3,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_89,plain,
'==>'('+'(X1,X2),X3) = '==>'(X2,'==>'(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_84]),c_0_39]),c_0_80]) ).
cnf(c_0_90,plain,
'+'(X1,'==>'(X1,'+'(X2,X1))) = '+'(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_35]),c_0_86])]) ).
cnf(c_0_91,plain,
'==>'('==>'(X1,'+'(X1,X2)),'+'(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_87]),c_0_61]) ).
cnf(c_0_92,plain,
'==>'(X1,'+'(X1,'==>'(X1,X2))) = '==>'(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_44]),c_0_35])]) ).
cnf(c_0_93,plain,
'==>'('==>'(X1,'+'(X2,X1)),'==>'(X1,X3)) = '==>'(X1,'==>'(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_89]) ).
cnf(c_0_94,plain,
'==>'('==>'(X1,X2),'+'(X1,'==>'(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
'+'(X1,'==>'(X1,'+'(X1,X2))) = '+'(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_16]) ).
cnf(c_0_96,plain,
'==>'('==>'(X1,X2),'==>'(X1,X3)) = '==>'(X1,'==>'('==>'(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,plain,
'==>'(X1,'==>'('==>'(X1,'+'(X1,X2)),X3)) = '==>'(X2,'==>'(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_89]),c_0_96]) ).
cnf(c_0_98,plain,
'==>'(X1,'==>'('==>'(X1,'+'(X2,X1)),X3)) = '==>'(X1,'==>'(X2,X3)),
inference(rw,[status(thm)],[c_0_93,c_0_96]) ).
cnf(c_0_99,plain,
'==>'(X1,'==>'(X2,X3)) = '==>'(X2,'==>'(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_16]),c_0_98]) ).
cnf(c_0_100,plain,
'==>'('+'(X1,'==>'(X1,X2)),X2) = '0',
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_70]),c_0_65]),c_0_64]),c_0_39]),c_0_15]) ).
cnf(c_0_101,plain,
'==>'('==>'(X1,'+'(X1,X2)),'==>'(X3,'+'(X1,X2))) = '==>'(X3,X1),
inference(spm,[status(thm)],[c_0_99,c_0_91]) ).
cnf(c_0_102,plain,
'==>'('==>'(X1,'+'(X2,'==>'(X2,X1))),'+'(X2,'==>'(X2,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_100]),c_0_61]) ).
cnf(c_0_103,plain,
'==>'('==>'('==>'(X1,X2),X2),X1) = '==>'('==>'(X1,'==>'(X2,X1)),'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_41]) ).
cnf(c_0_104,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_20]) ).
cnf(c_0_105,plain,
'==>'('==>'(X1,'+'(X2,'==>'(X2,X1))),X2) = '==>'('==>'(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_92]) ).
cnf(c_0_106,plain,
'==>'('==>'('==>'(X1,X2),X2),X1) = '==>'(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_61]) ).
cnf(c_0_107,plain,
'==>'(X1,'==>'(X2,'+'(X1,'==>'(X1,X3)))) = '==>'(X2,'==>'(X1,X3)),
inference(spm,[status(thm)],[c_0_99,c_0_92]) ).
fof(c_0_108,negated_conjecture,
~ ! [X21,X22] : '+'(X21,'==>'(X21,X22)) = '+'(X22,'==>'(X22,X21)),
inference(assume_negation,[status(cth)],[goals_14]) ).
cnf(c_0_109,plain,
'==>'(X1,'+'(X2,'==>'(X2,X1))) = '==>'(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_105]),c_0_106]),c_0_107]),c_0_104]),c_0_61]) ).
fof(c_0_110,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_108])])]) ).
cnf(c_0_111,plain,
'==>'('==>'(X1,X2),'+'(X2,'==>'(X2,X1))) = X1,
inference(rw,[status(thm)],[c_0_102,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
'+'(esk1_0,'==>'(esk1_0,esk2_0)) != '+'(esk2_0,'==>'(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_113,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(spm,[status(thm)],[c_0_111,c_0_111]),c_0_89]),c_0_104]),c_0_42]),c_0_16]),c_0_61]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL900+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 15:05:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.32/17.50 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.32/17.50 # Preprocessing time : 0.015 s
% 0.32/17.50
% 0.32/17.50 # Proof found!
% 0.32/17.50 # SZS status Theorem
% 0.32/17.50 # SZS output start CNFRefutation
% See solution above
% 0.32/17.50 # Proof object total steps : 115
% 0.32/17.50 # Proof object clause steps : 90
% 0.32/17.50 # Proof object formula steps : 25
% 0.32/17.50 # Proof object conjectures : 5
% 0.32/17.50 # Proof object clause conjectures : 2
% 0.32/17.50 # Proof object formula conjectures : 3
% 0.32/17.50 # Proof object initial clauses used : 13
% 0.32/17.50 # Proof object initial formulas used : 12
% 0.32/17.50 # Proof object generating inferences : 73
% 0.32/17.50 # Proof object simplifying inferences : 62
% 0.32/17.50 # Training examples: 0 positive, 0 negative
% 0.32/17.50 # Parsed axioms : 14
% 0.32/17.50 # Removed by relevancy pruning/SinE : 0
% 0.32/17.50 # Initial clauses : 15
% 0.32/17.50 # Removed in clause preprocessing : 0
% 0.32/17.50 # Initial clauses in saturation : 15
% 0.32/17.50 # Processed clauses : 18628
% 0.32/17.50 # ...of these trivial : 5507
% 0.32/17.50 # ...subsumed : 10680
% 0.32/17.50 # ...remaining for further processing : 2441
% 0.32/17.50 # Other redundant clauses eliminated : 0
% 0.32/17.50 # Clauses deleted for lack of memory : 704757
% 0.32/17.50 # Backward-subsumed : 54
% 0.32/17.50 # Backward-rewritten : 774
% 0.32/17.50 # Generated clauses : 1473134
% 0.32/17.50 # ...of the previous two non-trivial : 947198
% 0.32/17.50 # Contextual simplify-reflections : 87
% 0.32/17.50 # Paramodulations : 1473131
% 0.32/17.50 # Factorizations : 0
% 0.32/17.50 # Equation resolutions : 0
% 0.32/17.50 # Current number of processed clauses : 1612
% 0.32/17.50 # Positive orientable unit clauses : 428
% 0.32/17.50 # Positive unorientable unit clauses: 9
% 0.32/17.50 # Negative unit clauses : 5
% 0.32/17.50 # Non-unit-clauses : 1170
% 0.32/17.50 # Current number of unprocessed clauses: 136493
% 0.32/17.50 # ...number of literals in the above : 237714
% 0.32/17.50 # Current number of archived formulas : 0
% 0.32/17.50 # Current number of archived clauses : 828
% 0.32/17.50 # Clause-clause subsumption calls (NU) : 216853
% 0.32/17.50 # Rec. Clause-clause subsumption calls : 216667
% 0.32/17.50 # Non-unit clause-clause subsumptions : 10137
% 0.32/17.50 # Unit Clause-clause subsumption calls : 20750
% 0.32/17.50 # Rewrite failures with RHS unbound : 0
% 0.32/17.50 # BW rewrite match attempts : 30580
% 0.32/17.50 # BW rewrite match successes : 2071
% 0.32/17.50 # Condensation attempts : 0
% 0.32/17.50 # Condensation successes : 0
% 0.32/17.50 # Termbank termtop insertions : 20308199
% 0.32/17.50
% 0.32/17.50 # -------------------------------------------------
% 0.32/17.50 # User time : 16.116 s
% 0.32/17.50 # System time : 0.172 s
% 0.32/17.50 # Total time : 16.288 s
% 0.32/17.50 # Maximum resident set size: 149036 pages
% 0.32/23.41 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: CPU time limit exceeded, terminating
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.48 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
% 0.32/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------