TSTP Solution File: REL030+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL030+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 : Mon Jul 18 19:13:30 EDT 2022
% Result : Theorem 33.24s 5.69s
% Output : CNFRefutation 33.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of clauses : 118 ( 114 unt; 0 nHn; 20 RR)
% Number of literals : 122 ( 121 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 158 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_7) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_3) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_6) ).
cnf(i_0_5,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_5) ).
cnf(i_0_12,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_12) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_9) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_8) ).
cnf(i_0_14,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_14) ).
cnf(i_0_13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_13) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
join(esk1_0,one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_11) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_2) ).
cnf(i_0_1,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_1) ).
cnf(i_0_10,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gw0mn0i/lgb.p',i_0_10) ).
cnf(c_0_29,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_30,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_31,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_33,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_35,plain,
join(X1,X2) = join(X2,X1),
i_0_12 ).
cnf(c_0_36,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_39,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
cnf(c_0_40,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_41,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]),c_0_38]) ).
cnf(c_0_42,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_14 ).
cnf(c_0_44,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_13 ).
cnf(c_0_45,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_47,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_40]),c_0_42]),c_0_35]) ).
cnf(c_0_49,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_52,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_51]) ).
cnf(c_0_53,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_35]) ).
cnf(c_0_54,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_35]) ).
cnf(c_0_55,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_57,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_58,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_44]) ).
cnf(c_0_59,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_60,plain,
join(converse(X1),converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_46]),c_0_50]),c_0_58]),c_0_35]),c_0_59]) ).
cnf(c_0_62,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_35,c_0_57]) ).
cnf(c_0_63,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_60,c_0_32]) ).
cnf(c_0_64,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_50]) ).
cnf(c_0_65,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_66,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_64]),c_0_52]) ).
cnf(c_0_68,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_70,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_42]),c_0_69]) ).
cnf(c_0_71,negated_conjecture,
join(esk1_0,one) = one,
i_0_11 ).
cnf(c_0_72,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_70]),c_0_32]),c_0_32]) ).
cnf(c_0_73,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(spm,[status(thm)],[c_0_68,c_0_32]) ).
cnf(c_0_74,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_75,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_76,plain,
join(converse(zero),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_77,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
cnf(c_0_78,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_73]),c_0_42]),c_0_69]) ).
cnf(c_0_79,plain,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_44,c_0_74]) ).
cnf(c_0_80,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_75]),c_0_56]),c_0_29]),c_0_29]),c_0_56]) ).
cnf(c_0_81,plain,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_74]),c_0_36]),c_0_36]) ).
cnf(c_0_82,plain,
join(converse(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_76,c_0_32]) ).
cnf(c_0_83,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_77]),c_0_50]),c_0_35]),c_0_78]) ).
cnf(c_0_84,plain,
join(one,complement(esk1_0)) = join(top,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_40]),c_0_35]) ).
cnf(c_0_85,plain,
composition(converse(X1),join(one,converse(X2))) = join(converse(X1),composition(converse(X1),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_36]),c_0_30]),c_0_35]),c_0_35]) ).
cnf(c_0_86,plain,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_38]),c_0_38]) ).
cnf(c_0_87,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37]),c_0_29]),c_0_32]) ).
cnf(c_0_88,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_69,c_0_82]) ).
cnf(c_0_89,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_50,c_0_83]) ).
cnf(c_0_90,plain,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_84,c_0_62]) ).
cnf(c_0_91,plain,
composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_85,c_0_32]) ).
cnf(c_0_92,plain,
join(one,composition(converse(esk1_0),esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_86]),c_0_74]) ).
cnf(c_0_93,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
i_0_1 ).
cnf(c_0_94,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_42]),c_0_88]),c_0_49]),c_0_88]) ).
cnf(c_0_95,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_96,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_40]),c_0_62]) ).
cnf(c_0_97,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_80,c_0_32]) ).
cnf(c_0_98,plain,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_90]),c_0_38]) ).
cnf(c_0_99,plain,
composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_91,c_0_32]) ).
cnf(c_0_100,plain,
join(X1,composition(converse(esk1_0),composition(esk1_0,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_92]),c_0_38]),c_0_38]),c_0_93]) ).
cnf(c_0_101,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_75,c_0_40]) ).
cnf(c_0_102,plain,
composition(complement(composition(top,converse(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_29]),c_0_66]) ).
cnf(c_0_103,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_96,c_0_50]) ).
cnf(c_0_104,plain,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_38]),c_0_38]) ).
cnf(c_0_105,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_97,c_0_32]) ).
cnf(c_0_106,plain,
join(X1,join(X2,composition(complement(esk1_0),X1))) = join(X2,composition(top,X1)),
inference(spm,[status(thm)],[c_0_58,c_0_98]) ).
cnf(c_0_107,plain,
join(X1,composition(X1,composition(converse(esk1_0),esk1_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_30]),c_0_30]) ).
cnf(c_0_108,plain,
composition(top,composition(converse(X1),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_50]),c_0_93]),c_0_49]) ).
cnf(c_0_109,plain,
join(complement(X1),composition(top,X1)) = top,
inference(spm,[status(thm)],[c_0_103,c_0_98]) ).
cnf(c_0_110,plain,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_104]) ).
cnf(c_0_111,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_105,c_0_32]) ).
cnf(c_0_112,plain,
join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_104]),c_0_35]) ).
cnf(c_0_113,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_114,plain,
join(complement(esk1_0),composition(converse(esk1_0),esk1_0)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]),c_0_35]) ).
cnf(c_0_115,plain,
join(X1,complement(join(composition(esk1_0,X1),X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_67]),c_0_110]) ).
cnf(c_0_116,plain,
join(composition(X1,X2),composition(X1,complement(X2))) = composition(X1,top),
inference(spm,[status(thm)],[c_0_111,c_0_40]) ).
cnf(c_0_117,plain,
join(X1,complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_112,c_0_50]) ).
cnf(c_0_118,plain,
composition(converse(esk1_0),esk1_0) = esk1_0,
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_113,c_0_114]),c_0_42]),c_0_69]),c_0_50]),c_0_35]),c_0_86]) ).
cnf(c_0_119,plain,
complement(composition(esk1_0,complement(X1))) = join(X1,complement(composition(esk1_0,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))
| join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))) ),
i_0_10 ).
cnf(c_0_121,plain,
join(X1,join(X2,composition(esk1_0,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_104]) ).
cnf(c_0_122,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_67,c_0_58]) ).
cnf(c_0_123,plain,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_118]),c_0_32]),c_0_118]) ).
cnf(c_0_124,plain,
composition(esk1_0,complement(X1)) = complement(join(X1,complement(composition(esk1_0,top)))),
inference(spm,[status(thm)],[c_0_50,c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))
| join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))) != complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_35]),c_0_35]),c_0_35]),c_0_35]) ).
cnf(c_0_126,plain,
join(X1,complement(join(X2,composition(esk1_0,X1)))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_121]),c_0_113]) ).
cnf(c_0_127,plain,
join(X1,complement(join(X2,complement(join(X3,X1))))) = join(X1,complement(join(X2,complement(X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_113]),c_0_122]) ).
cnf(c_0_128,plain,
join(complement(X1),complement(join(composition(esk1_0,X1),complement(composition(esk1_0,top))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_123]),c_0_124]) ).
cnf(c_0_129,negated_conjecture,
( join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))) != complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))
| join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))) != complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_50]),c_0_50]),c_0_50]),c_0_50]),c_0_50]),c_0_50]) ).
cnf(c_0_130,plain,
join(complement(X1),complement(composition(esk1_0,top))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_116]),c_0_112]) ).
cnf(c_0_131,plain,
join(complement(composition(esk1_0,top)),composition(esk1_0,X1)) = join(complement(composition(esk1_0,top)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_50]),c_0_112]),c_0_50]) ).
cnf(c_0_132,negated_conjecture,
$false,
inference(cn,[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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130]),c_0_130]),c_0_44]),c_0_131]),c_0_35]),c_0_58]),c_0_51]),c_0_130]),c_0_44]),c_0_131]),c_0_35]),c_0_58]),c_0_130]),c_0_130]),c_0_44]),c_0_131]),c_0_35]),c_0_58]),c_0_51]),c_0_130])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL030+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 12:19:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 33.24/5.69 # ENIGMATIC: Solved by autoschedule-lgb:
% 33.24/5.69 # No SInE strategy applied
% 33.24/5.69 # Trying AutoSched0 for 150 seconds
% 33.24/5.69 # AutoSched0-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S4d
% 33.24/5.69 # and selection function SelectCQIPrecWNTNp.
% 33.24/5.69 #
% 33.24/5.69 # Preprocessing time : 0.022 s
% 33.24/5.69
% 33.24/5.69 # Proof found!
% 33.24/5.69 # SZS status Theorem
% 33.24/5.69 # SZS output start CNFRefutation
% See solution above
% 33.24/5.69 # Training examples: 0 positive, 0 negative
% 33.24/5.69
% 33.24/5.69 # -------------------------------------------------
% 33.24/5.69 # User time : 3.120 s
% 33.24/5.69 # System time : 0.163 s
% 33.24/5.69 # Total time : 3.282 s
% 33.24/5.69 # Maximum resident set size: 7124 pages
% 33.24/5.69
%------------------------------------------------------------------------------