%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:48:45 AM UTC 2026
% Result : Theorem 15.92s 4.23s
% Output : CNFRefutation 15.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of clauses : 77 ( 59 unt; 0 nHn; 15 RR)
% Number of literals : 97 ( 40 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
'+'(X1,'1') = '1',
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_13) ).
cnf(i_0_2,plain,
'+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_2) ).
cnf(i_0_8,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_8) ).
cnf(i_0_6,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_6) ).
cnf(i_0_9,plain,
'>='(X1,'0'),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
'>='(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_4) ).
cnf(i_0_3,plain,
'+'(X1,'0') = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_3) ).
cnf(i_0_10,plain,
( '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_10) ).
cnf(i_0_12,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_12) ).
cnf(i_0_7,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_7) ).
cnf(i_0_14,plain,
'==>'('==>'('==>'(X1,'1'),X1),X1) = '0',
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_14) ).
cnf(i_0_11,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_11) ).
cnf(i_0_15,negated_conjecture,
'+'(esk1_0,esk1_0) != esk1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zawcrq8p/lgb.p',i_0_15) ).
cnf(c_0_29,plain,
'+'(X1,'1') = '1',
i_0_13 ).
cnf(c_0_30,plain,
'+'(X1,X2) = '+'(X2,X1),
i_0_2 ).
cnf(c_0_31,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X2,X1),X3) ),
i_0_8 ).
cnf(c_0_32,plain,
'+'('1',X1) = '1',
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( X1 = X2
| ~ '>='(X2,X1)
| ~ '>='(X1,X2) ),
i_0_6 ).
cnf(c_0_34,plain,
'>='(X1,'0'),
i_0_9 ).
cnf(c_0_35,plain,
( '>='(X1,'==>'('1',X2))
| ~ '>='('1',X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
'>='(X1,X1),
i_0_4 ).
cnf(c_0_37,plain,
'+'(X1,'0') = X1,
i_0_3 ).
cnf(c_0_38,plain,
( '0' = X1
| ~ '>='('0',X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
'>='(X1,'==>'('1','1')),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
'+'('0',X1) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_41,plain,
'0' = '==>'('1','1'),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( '>='('+'(X1,X2),'+'(X3,X2))
| ~ '>='(X1,X3) ),
i_0_10 ).
cnf(c_0_43,plain,
'+'('==>'('1','1'),X1) = X1,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( '>='(X1,'==>'(X2,X3))
| ~ '>='('+'(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_45,plain,
'>='('+'(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_43]) ).
cnf(c_0_46,plain,
'>='(X1,'==>'(X2,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
( '==>'(X1,X1) = X2
| ~ '>='('==>'(X1,X1),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_46]) ).
cnf(c_0_48,plain,
'>='(X1,'==>'(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
cnf(c_0_49,plain,
'>='('1',X1),
inference(spm,[status(thm)],[c_0_45,c_0_32]) ).
cnf(c_0_50,plain,
( '>='('==>'(X1,X2),'==>'(X1,X3))
| ~ '>='(X2,X3) ),
i_0_12 ).
cnf(c_0_51,plain,
'+'(X1,'==>'('1','1')) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_52,plain,
'==>'(X1,X1) = '==>'(X2,X2),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_53,plain,
( '==>'(X1,X2) = X2
| ~ '>='('==>'(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_54,plain,
'>='(X1,'==>'('1',X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_49])]) ).
cnf(c_0_55,plain,
( '>='('+'(X1,X2),X3)
| ~ '>='(X2,'==>'(X1,X3)) ),
i_0_7 ).
cnf(c_0_56,plain,
'>='('==>'(X1,'1'),'==>'(X1,X2)),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_57,plain,
'==>'('==>'('==>'(X1,'1'),X1),X1) = '0',
i_0_14 ).
cnf(c_0_58,plain,
'+'(X1,'==>'(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
'==>'(X1,'==>'('1',X2)) = '==>'('1',X2),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( X1 = '1'
| ~ '>='(X1,'1') ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_61,plain,
'>='('+'(X1,'==>'(X1,'1')),X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
'>='('+'(X1,'==>'(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_55,c_0_36]) ).
cnf(c_0_63,plain,
'==>'('==>'('==>'(X1,'1'),X1),X1) = '==>'('1','1'),
inference(rw,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_64,plain,
'+'(X1,'==>'('1',X2)) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
'+'(X1,'==>'(X1,'1')) = '1',
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
'>='('==>'('==>'(X1,'1'),X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_67,plain,
'>='(X1,'==>'('==>'(X1,'1'),X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_65]),c_0_49])]) ).
cnf(c_0_68,plain,
'==>'('==>'(X1,'1'),X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_66]),c_0_67])]) ).
cnf(c_0_69,plain,
'>='('==>'('==>'(X1,'1'),'1'),X1),
inference(spm,[status(thm)],[c_0_56,c_0_68]) ).
cnf(c_0_70,plain,
( '>='('==>'(X1,X2),'==>'(X3,X2))
| ~ '>='(X3,X1) ),
i_0_11 ).
cnf(c_0_71,plain,
'==>'('==>'(X1,'1'),'1') = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_67])]) ).
cnf(c_0_72,plain,
'>='('==>'('==>'(X1,X2),X3),'==>'('==>'(X1,'1'),X3)),
inference(spm,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_73,plain,
'==>'(X1,'==>'(X1,'1')) = '==>'(X1,'1'),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_74,plain,
'+'('==>'(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_75,plain,
'>='(X1,'==>'(X2,'+'(X2,X1))),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_76,plain,
'>='('==>'('==>'(X1,X2),X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71]),c_0_71]) ).
cnf(c_0_77,plain,
'+'('==>'('1',X1),X2) = X2,
inference(spm,[status(thm)],[c_0_74,c_0_59]) ).
cnf(c_0_78,plain,
'>='('==>'(X1,X2),'==>'(X1,'==>'(X3,'+'(X3,X2)))),
inference(spm,[status(thm)],[c_0_50,c_0_75]) ).
cnf(c_0_79,plain,
'==>'('==>'(X1,X2),X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_76]),c_0_48])]) ).
cnf(c_0_80,plain,
'>='('==>'('==>'('1',X1),X2),X2),
inference(spm,[status(thm)],[c_0_62,c_0_77]) ).
cnf(c_0_81,plain,
'==>'(X1,'==>'(X2,'+'(X2,X1))) = '==>'(X1,X1),
inference(spm,[status(thm)],[c_0_47,c_0_78]) ).
cnf(c_0_82,plain,
'==>'(X1,'==>'(X1,X2)) = '==>'(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_79]) ).
cnf(c_0_83,plain,
'==>'('==>'('1',X1),X2) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_80]),c_0_48])]) ).
cnf(c_0_84,plain,
'==>'(X1,'==>'(X2,X2)) = '==>'(X2,X2),
inference(spm,[status(thm)],[c_0_53,c_0_46]) ).
cnf(c_0_85,plain,
'>='(X1,'==>'('==>'(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_86,plain,
'==>'(X1,'+'(X1,X1)) = '==>'(X1,X1),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
'==>'('==>'(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
'>='(X1,'+'(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_89,plain,
'>='('+'(X1,X2),X1),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_90,negated_conjecture,
'+'(esk1_0,esk1_0) != esk1_0,
i_0_15 ).
cnf(c_0_91,plain,
'+'(X1,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_88]),c_0_89])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 13:49:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.22/0.46 # ENIGMATIC: Selected complete mode:
% 15.92/4.23 # ENIGMATIC: Solved by autoschedule-lgb:
% 15.92/4.23 # No SInE strategy applied
% 15.92/4.23 # Trying AutoSched0 for 150 seconds
% 15.92/4.23 # AutoSched0-Mode selected heuristic H_____042_B03_F1_AE_Q4_SP_S2S
% 15.92/4.23 # and selection function SelectNewComplexAHP.
% 15.92/4.23 #
% 15.92/4.23 # Preprocessing time : 0.023 s
% 15.92/4.23
% 15.92/4.23 # Proof found!
% 15.92/4.23 # SZS status Theorem
% 15.92/4.23 # SZS output start CNFRefutation
% See solution above
% 15.92/4.24 # Training examples: 0 positive, 0 negative
% 15.92/4.24
% 15.92/4.24 # -------------------------------------------------
% 15.92/4.24 # User time : 0.131 s
% 15.92/4.24 # System time : 0.009 s
% 15.92/4.24 # Total time : 0.141 s
% 15.92/4.24 # Maximum resident set size: 3328 pages
% 15.92/4.24
%------------------------------------------------------------------------------