TSTP Solution File: LCL889+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL889+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 09:33:27 EDT 2022
% Result : Theorem 179.55s 23.92s
% Output : CNFRefutation 179.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of clauses : 85 ( 62 unt; 0 nHn; 39 RR)
% Number of literals : 112 ( 29 equ; 29 neg)
% Maximal clause size : 3 ( 1 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 : 136 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_8) ).
cnf(i_0_3,plain,
'+'(X1,'0') = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_3) ).
cnf(i_0_4,plain,
'>='(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_4) ).
cnf(i_0_6,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_6) ).
cnf(i_0_9,plain,
'>='(X1,'0'),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
'+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_2) ).
cnf(i_0_7,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_7) ).
cnf(i_0_15,negated_conjecture,
'==>'(esk3_0,esk2_0) = esk3_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_15) ).
cnf(i_0_16,negated_conjecture,
'>='(esk1_0,'==>'(esk1_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_16) ).
cnf(i_0_13,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_12) ).
cnf(i_0_1,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_1) ).
cnf(i_0_5,plain,
( '>='(X1,X2)
| ~ '>='(X3,X2)
| ~ '>='(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_5) ).
cnf(i_0_11,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_11) ).
cnf(i_0_14,negated_conjecture,
~ '>='(esk1_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k_zqdejr/lgb.p',i_0_14) ).
cnf(c_0_32,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
i_0_8 ).
cnf(c_0_33,plain,
'+'(X1,'0') = X1,
i_0_3 ).
cnf(c_0_34,plain,
( '>='('0','==>'(X1,X2))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,plain,
'>='(X1,X1),
i_0_4 ).
cnf(c_0_36,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
i_0_6 ).
cnf(c_0_37,plain,
'>='('0','==>'(X1,X1)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
'>='(X1,'0'),
i_0_9 ).
cnf(c_0_39,plain,
'+'(X1,X2) = '+'(X2,X1),
i_0_2 ).
cnf(c_0_40,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
i_0_7 ).
cnf(c_0_41,plain,
'==>'(X1,X1) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_42,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_43,plain,
'>='('+'(X1,X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38])]) ).
cnf(c_0_44,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
'==>'(esk3_0,esk2_0) = esk3_0,
i_0_15 ).
cnf(c_0_46,negated_conjecture,
'>='(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
'>='('0','==>'(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
'>='(esk1_0,'==>'(esk1_0,esk2_0)),
i_0_16 ).
cnf(c_0_49,plain,
'+'(X1,'==>'(X1,X2)) = '+'(X2,'==>'(X2,X1)),
i_0_13 ).
cnf(c_0_50,plain,
'==>'(esk2_0,esk3_0) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_38])]) ).
cnf(c_0_51,negated_conjecture,
'>='('+'(esk1_0,esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_52,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
i_0_12 ).
cnf(c_0_53,plain,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
i_0_1 ).
cnf(c_0_54,plain,
'+'(esk3_0,esk3_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33]),c_0_45]) ).
cnf(c_0_55,plain,
'>='('0','==>'('+'(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_56,negated_conjecture,
'>='('0','==>'('+'(esk1_0,esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_57,plain,
'>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X2)),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_58,plain,
'+'(esk2_0,X1) = '+'(esk3_0,'+'(esk3_0,X1)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
'==>'('+'(X1,X2),X1) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_55]),c_0_38])]) ).
cnf(c_0_60,plain,
'+'(X1,'+'('==>'(X1,X2),X3)) = '+'(X2,'+'('==>'(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_49]),c_0_53]) ).
cnf(c_0_61,plain,
'==>'('+'(esk1_0,esk1_0),esk2_0) = '0',
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_38])]) ).
cnf(c_0_62,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_63,plain,
( '>='(X1,X2)
| ~ '>='(X3,X2)
| ~ '>='(X1,X3) ),
i_0_5 ).
cnf(c_0_64,negated_conjecture,
'>='('==>'(esk3_0,'+'(esk3_0,'+'(esk3_0,X1))),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_45]),c_0_58]) ).
cnf(c_0_65,plain,
'==>'('+'(esk3_0,'+'(esk3_0,X1)),esk2_0) = '0',
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,plain,
'+'(esk3_0,'+'(esk3_0,'+'('==>'(esk2_0,'+'(esk1_0,esk1_0)),X1))) = '+'(esk1_0,'+'(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_53]),c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( '>='('+'(esk3_0,X1),esk2_0)
| ~ '>='(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_68,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_69,plain,
( '>='(X1,esk3_0)
| ~ '>='(X1,'==>'(esk3_0,'+'(esk3_0,'+'(esk3_0,X2)))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
'+'(X1,'==>'(X1,'+'(X2,X3))) = '+'(X2,'+'(X3,'==>'('+'(X2,X3),X1))),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_71,plain,
'==>'('+'(esk1_0,'+'(esk1_0,X1)),esk2_0) = '0',
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( '>='('+'(X1,X2),'==>'(X3,X4))
| ~ '>='('+'(X1,'+'(X2,X3)),X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_53]) ).
cnf(c_0_73,negated_conjecture,
'>='('+'(esk3_0,'+'(X1,'==>'(X1,esk3_0))),esk2_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( '>='(X1,esk3_0)
| ~ '>='(X1,'==>'(esk3_0,'+'(X2,'==>'(X2,esk2_0)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_54]) ).
cnf(c_0_75,plain,
'==>'('+'(esk1_0,'+'(X1,esk1_0)),esk2_0) = '0',
inference(spm,[status(thm)],[c_0_71,c_0_39]) ).
cnf(c_0_76,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_77,plain,
'>='('+'(esk3_0,X1),'==>'('==>'(X1,esk3_0),esk2_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
( '>='(X1,esk3_0)
| ~ '>='(X1,'==>'(esk3_0,'+'(esk1_0,'+'(X2,esk1_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_53]),c_0_53]),c_0_33]) ).
cnf(c_0_79,plain,
'>='('+'('==>'(X1,X2),X3),'==>'(X1,'+'(X2,'+'('==>'(X2,X1),X3)))),
inference(spm,[status(thm)],[c_0_76,c_0_60]) ).
cnf(c_0_80,plain,
'>='(X1,'==>'(esk3_0,'==>'('==>'(X1,esk3_0),esk2_0))),
inference(spm,[status(thm)],[c_0_32,c_0_77]) ).
cnf(c_0_81,plain,
'>='('+'(esk1_0,'==>'(esk3_0,esk1_0)),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_39]) ).
cnf(c_0_82,plain,
( '>='(X1,'==>'(esk3_0,'==>'('==>'(X2,esk3_0),esk2_0)))
| ~ '>='(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_80]) ).
cnf(c_0_83,plain,
'>='('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_32,c_0_81]) ).
cnf(c_0_84,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
i_0_11 ).
cnf(c_0_85,plain,
'>='('==>'(esk3_0,esk1_0),'==>'(esk3_0,'==>'('==>'('==>'(esk1_0,esk3_0),esk3_0),esk2_0))),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,plain,
'>='('==>'('==>'(X1,X2),X3),'==>'(X2,X3)),
inference(spm,[status(thm)],[c_0_84,c_0_44]) ).
cnf(c_0_87,plain,
'+'(X1,'+'(X2,X3)) = '+'(X3,'+'(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_53]) ).
cnf(c_0_88,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='('+'(X2,'==>'(X2,X1)),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_49]) ).
cnf(c_0_89,plain,
'>='('+'(esk3_0,'==>'(esk3_0,esk1_0)),'==>'('==>'('==>'(esk1_0,esk3_0),esk3_0),esk2_0)),
inference(spm,[status(thm)],[c_0_40,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
'>='('==>'('==>'(X1,esk3_0),esk2_0),esk3_0),
inference(spm,[status(thm)],[c_0_86,c_0_45]) ).
cnf(c_0_91,plain,
( '>='(X1,'==>'('+'(X2,X3),X4))
| ~ '>='('+'(X3,'+'(X1,X2)),X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_87]) ).
cnf(c_0_92,plain,
'>='('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,X3)))),X3),
inference(spm,[status(thm)],[c_0_40,c_0_68]) ).
cnf(c_0_93,plain,
'>='('==>'(esk1_0,esk3_0),'==>'(esk1_0,'==>'('==>'('==>'(esk1_0,esk3_0),esk3_0),esk2_0))),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
'>='('==>'(X1,'==>'('==>'(X2,esk3_0),esk2_0)),'==>'(X1,esk3_0)),
inference(spm,[status(thm)],[c_0_52,c_0_90]) ).
cnf(c_0_95,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
cnf(c_0_96,plain,
'>='(X1,'==>'(X2,'==>'(X3,'+'(X2,X1)))),
inference(spm,[status(thm)],[c_0_32,c_0_44]) ).
cnf(c_0_97,plain,
'>='(X1,'==>'('+'(X2,'==>'(X1,'==>'(X2,X3))),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_39]) ).
cnf(c_0_98,plain,
'==>'(esk1_0,'==>'('==>'('==>'(esk1_0,esk3_0),esk3_0),esk2_0)) = '==>'(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_93]),c_0_94])]) ).
cnf(c_0_99,plain,
'==>'(X1,'==>'(X2,X1)) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_33]) ).
cnf(c_0_100,negated_conjecture,
~ '>='(esk1_0,esk3_0),
i_0_14 ).
cnf(c_0_101,plain,
$false,
inference(sr,[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_97,c_0_98]),c_0_39]),c_0_49]),c_0_99]),c_0_33]),c_0_45]),c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL889+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 19:56:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 179.55/23.92 # ENIGMATIC: Solved by autoschedule-lgb:
% 179.55/23.92 # No SInE strategy applied
% 179.55/23.92 # Trying AutoSched0 for 150 seconds
% 179.55/23.92 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_AE_CS_SP_PI_S0S
% 179.55/23.92 # and selection function SelectComplexG.
% 179.55/23.92 #
% 179.55/23.92 # Preprocessing time : 0.013 s
% 179.55/23.92
% 179.55/23.92 # Proof found!
% 179.55/23.92 # SZS status Theorem
% 179.55/23.92 # SZS output start CNFRefutation
% See solution above
% 179.55/23.92 # Training examples: 0 positive, 0 negative
% 179.55/23.92
% 179.55/23.92 # -------------------------------------------------
% 179.55/23.92 # User time : 20.663 s
% 179.55/23.92 # System time : 0.760 s
% 179.55/23.92 # Total time : 21.423 s
% 179.55/23.92 # Maximum resident set size: 7128 pages
% 179.55/23.92
%------------------------------------------------------------------------------