TSTP Solution File: REL028+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL028+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 19:13:26 EDT 2022
% Result : Theorem 14.51s 3.21s
% Output : CNFRefutation 14.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 17
% Syntax : Number of clauses : 120 ( 120 unt; 0 nHn; 42 RR)
% Number of literals : 120 ( 119 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 135 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_3) ).
cnf(i_0_5,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_5) ).
cnf(i_0_14,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_14) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_10) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_9) ).
cnf(i_0_16,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_16) ).
cnf(i_0_15,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_15) ).
cnf(i_0_13,negated_conjecture,
join(esk1_0,one) = one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_13) ).
cnf(i_0_12,negated_conjecture,
join(esk2_0,one) = one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_12) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_4) ).
cnf(i_0_8,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_8) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_2) ).
cnf(i_0_19,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_19) ).
cnf(i_0_1,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_1) ).
cnf(i_0_11,negated_conjecture,
complement(join(complement(esk1_0),complement(esk2_0))) != composition(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7etarp8w/lgb.p',i_0_11) ).
cnf(c_0_37,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_38,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_39,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_41,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]) ).
cnf(c_0_42,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_43,plain,
join(X1,X2) = join(X2,X1),
i_0_14 ).
cnf(c_0_44,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_47,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_48,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_49,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]),c_0_46]) ).
cnf(c_0_50,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_16 ).
cnf(c_0_52,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_15 ).
cnf(c_0_53,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_51,c_0_43]) ).
cnf(c_0_55,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,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_54,c_0_49]),c_0_48]),c_0_50]),c_0_43]) ).
cnf(c_0_57,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_60,negated_conjecture,
join(esk1_0,one) = one,
i_0_13 ).
cnf(c_0_61,negated_conjecture,
join(esk2_0,one) = one,
i_0_12 ).
cnf(c_0_62,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_60,c_0_43]) ).
cnf(c_0_64,negated_conjecture,
join(one,esk2_0) = one,
inference(rw,[status(thm)],[c_0_61,c_0_43]) ).
cnf(c_0_65,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_43]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_43]) ).
cnf(c_0_67,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_68,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
join(one,join(esk2_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_52,c_0_64]) ).
cnf(c_0_70,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_67,c_0_44]) ).
cnf(c_0_72,negated_conjecture,
join(one,complement(join(complement(esk1_0),X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_65]),c_0_63]) ).
cnf(c_0_73,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_74,negated_conjecture,
join(one,complement(join(complement(esk2_0),X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_65]),c_0_64]) ).
cnf(c_0_75,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
i_0_8 ).
cnf(c_0_76,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_70,c_0_58]) ).
cnf(c_0_77,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_63]),c_0_44]) ).
cnf(c_0_78,plain,
join(complement(one),join(complement(esk1_0),X1)) = join(complement(esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_52]),c_0_73]) ).
cnf(c_0_79,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_80,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_81,negated_conjecture,
join(one,converse(esk2_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_64]),c_0_44]) ).
cnf(c_0_82,plain,
join(complement(one),join(complement(esk2_0),X1)) = join(complement(esk2_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_74]),c_0_52]),c_0_73]) ).
cnf(c_0_83,plain,
join(complement(join(complement(one),complement(composition(X1,X2)))),composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1)))))) = composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_40]),c_0_43]),c_0_46]),c_0_46]) ).
cnf(c_0_84,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_43]) ).
cnf(c_0_85,plain,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_80,c_0_46]) ).
cnf(c_0_87,negated_conjecture,
join(complement(one),complement(converse(esk2_0))) = complement(converse(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_81]),c_0_43]) ).
cnf(c_0_88,plain,
join(complement(one),complement(esk2_0)) = complement(esk2_0),
inference(spm,[status(thm)],[c_0_82,c_0_79]) ).
cnf(c_0_89,plain,
join(esk1_0,composition(converse(esk1_0),esk1_0)) = composition(converse(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(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_83,c_0_84]),c_0_46]),c_0_85]),c_0_58]),c_0_58]),c_0_44]),c_0_43]),c_0_85]),c_0_58]),c_0_58]),c_0_44]),c_0_43]),c_0_85]),c_0_58]) ).
cnf(c_0_90,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_77]),c_0_46]) ).
cnf(c_0_91,plain,
join(esk2_0,composition(converse(esk2_0),esk2_0)) = composition(converse(esk2_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)],[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_83,c_0_87]),c_0_46]),c_0_88]),c_0_58]),c_0_58]),c_0_44]),c_0_43]),c_0_88]),c_0_58]),c_0_58]),c_0_44]),c_0_43]),c_0_88]),c_0_58]) ).
cnf(c_0_92,negated_conjecture,
join(X1,composition(converse(esk2_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_46]) ).
cnf(c_0_93,plain,
composition(converse(esk1_0),esk1_0) = esk1_0,
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
composition(converse(esk2_0),esk2_0) = esk2_0,
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_96,plain,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_93]),c_0_93]) ).
cnf(c_0_97,plain,
converse(esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_94]),c_0_94]) ).
cnf(c_0_98,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_59]),c_0_48]) ).
cnf(c_0_99,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
i_0_19 ).
cnf(c_0_100,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_63]),c_0_46]) ).
cnf(c_0_101,plain,
join(complement(join(complement(X1),complement(X2))),composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2)))))) = composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_40]),c_0_44]),c_0_40]),c_0_44]),c_0_40]) ).
cnf(c_0_102,plain,
converse(join(esk1_0,X1)) = join(esk1_0,converse(X1)),
inference(spm,[status(thm)],[c_0_67,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
join(X1,composition(esk2_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_64]),c_0_46]) ).
cnf(c_0_104,plain,
converse(composition(esk2_0,X1)) = composition(converse(X1),esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_97]) ).
cnf(c_0_105,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_43,c_0_98]) ).
cnf(c_0_106,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_43]),c_0_43]) ).
cnf(c_0_107,negated_conjecture,
join(one,composition(esk1_0,esk2_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_100]),c_0_64]) ).
cnf(c_0_108,plain,
join(esk2_0,composition(esk2_0,esk2_0)) = composition(esk2_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)],[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_101,c_0_88]),c_0_58]),c_0_58]),c_0_44]),c_0_46]),c_0_88]),c_0_58]),c_0_58]),c_0_44]),c_0_46]),c_0_88]),c_0_58]) ).
cnf(c_0_109,negated_conjecture,
join(esk1_0,composition(esk1_0,esk2_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_96]),c_0_104]),c_0_96]) ).
cnf(c_0_110,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_105]) ).
cnf(c_0_111,plain,
join(complement(join(complement(composition(X1,converse(X2))),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2)))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2))))),
inference(spm,[status(thm)],[c_0_106,c_0_38]) ).
cnf(c_0_112,plain,
join(complement(one),complement(composition(esk1_0,esk2_0))) = complement(composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_107]),c_0_43]) ).
cnf(c_0_113,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
i_0_1 ).
cnf(c_0_114,plain,
composition(esk2_0,esk2_0) = esk2_0,
inference(rw,[status(thm)],[c_0_108,c_0_103]) ).
cnf(c_0_115,plain,
join(complement(esk1_0),complement(composition(esk1_0,esk2_0))) = complement(composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_109]),c_0_43]) ).
cnf(c_0_116,plain,
join(X1,join(X2,complement(X1))) = top,
inference(spm,[status(thm)],[c_0_110,c_0_66]) ).
cnf(c_0_117,plain,
join(composition(esk1_0,esk2_0),complement(join(complement(esk1_0),complement(esk2_0)))) = 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)],[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(spm,[status(thm)],[c_0_111,c_0_112]),c_0_46]),c_0_97]),c_0_58]),c_0_97]),c_0_113]),c_0_114]),c_0_115]),c_0_58]),c_0_58]),c_0_97]),c_0_113]),c_0_114]),c_0_115]),c_0_58]),c_0_43]),c_0_43]) ).
cnf(c_0_118,plain,
join(complement(esk1_0),join(complement(esk2_0),composition(esk1_0,esk2_0))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_52]) ).
cnf(c_0_119,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_67,c_0_38]) ).
cnf(c_0_120,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_121,plain,
complement(join(complement(esk1_0),complement(join(complement(esk2_0),composition(esk1_0,esk2_0))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_118]),c_0_50]),c_0_57]) ).
cnf(c_0_122,plain,
join(X1,composition(X1,esk2_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_103]),c_0_38]),c_0_120]),c_0_97]) ).
cnf(c_0_123,plain,
join(complement(esk2_0),composition(esk1_0,esk2_0)) = join(esk1_0,complement(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)],[inference(spm,[status(thm)],[c_0_76,c_0_121]),c_0_58]),c_0_52]),c_0_43]),c_0_122]),c_0_43]),c_0_58]) ).
cnf(c_0_124,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_43]) ).
cnf(c_0_125,plain,
join(complement(join(esk1_0,complement(esk2_0))),complement(join(complement(esk2_0),complement(composition(esk1_0,esk2_0))))) = esk2_0,
inference(spm,[status(thm)],[c_0_54,c_0_123]) ).
cnf(c_0_126,plain,
join(complement(join(esk1_0,complement(esk2_0))),complement(composition(esk1_0,esk2_0))) = complement(composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_123]),c_0_43]) ).
cnf(c_0_127,plain,
join(complement(esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,esk2_0))))) = join(esk1_0,complement(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_58]),c_0_52]),c_0_43]),c_0_126]) ).
cnf(c_0_128,plain,
join(complement(esk2_0),complement(composition(esk1_0,esk2_0))) = join(complement(esk2_0),complement(join(esk1_0,complement(esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_127]),c_0_43]),c_0_65]) ).
cnf(c_0_129,plain,
join(X1,join(composition(X1,esk2_0),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_122]) ).
cnf(c_0_130,plain,
join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(join(esk1_0,complement(esk2_0)))))) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_128]),c_0_58]),c_0_58]) ).
cnf(c_0_131,plain,
join(esk1_0,complement(join(complement(esk2_0),complement(join(esk1_0,complement(esk2_0)))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_122]) ).
cnf(c_0_132,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_133,plain,
join(complement(esk2_0),complement(join(esk1_0,complement(esk2_0)))) = join(complement(esk1_0),complement(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)],[inference(spm,[status(thm)],[c_0_76,c_0_131]),c_0_58]),c_0_52]),c_0_58]),c_0_43]),c_0_132]),c_0_43]) ).
cnf(c_0_134,plain,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_100]) ).
cnf(c_0_135,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_54,c_0_43]) ).
cnf(c_0_136,plain,
join(complement(esk2_0),complement(composition(esk1_0,esk2_0))) = join(complement(esk1_0),complement(esk2_0)),
inference(rw,[status(thm)],[c_0_128,c_0_133]) ).
cnf(c_0_137,plain,
join(X1,complement(composition(esk1_0,X1))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_48]),c_0_98]) ).
cnf(c_0_138,negated_conjecture,
complement(join(complement(esk1_0),complement(esk2_0))) != composition(esk1_0,esk2_0),
i_0_11 ).
cnf(c_0_139,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_135,c_0_136]),c_0_58]),c_0_43]),c_0_137]),c_0_50]),c_0_79]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL028+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 12:23:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.51/3.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.51/3.21 # No SInE strategy applied
% 14.51/3.21 # Trying AutoSched0 for 150 seconds
% 14.51/3.21 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.51/3.21 # and selection function SelectComplexExceptUniqMaxHorn.
% 14.51/3.21 #
% 14.51/3.21 # Preprocessing time : 0.022 s
% 14.51/3.21 # Presaturation interreduction done
% 14.51/3.21
% 14.51/3.21 # Proof found!
% 14.51/3.21 # SZS status Theorem
% 14.51/3.21 # SZS output start CNFRefutation
% See solution above
% 14.51/3.21 # Training examples: 0 positive, 0 negative
% 14.51/3.21
% 14.51/3.21 # -------------------------------------------------
% 14.51/3.21 # User time : 0.704 s
% 14.51/3.21 # System time : 0.040 s
% 14.51/3.21 # Total time : 0.744 s
% 14.51/3.21 # Maximum resident set size: 7128 pages
% 14.51/3.21
%------------------------------------------------------------------------------