TSTP Solution File: REL026+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL026+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : Mon Jul 18 19:13:22 EDT 2022
% Result : Theorem 17.18s 3.66s
% Output : CNFRefutation 17.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of clauses : 140 ( 137 unt; 0 nHn; 34 RR)
% Number of literals : 143 ( 142 equ; 6 neg)
% Maximal clause size : 2 ( 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 : 193 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_10) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_9) ).
cnf(i_0_15,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_15) ).
cnf(i_0_13,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_13) ).
cnf(i_0_14,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_14) ).
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_3) ).
cnf(i_0_17,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_17) ).
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-61cajmcp/input.p',i_0_5) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_4) ).
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-61cajmcp/input.p',i_0_2) ).
cnf(i_0_18,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/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_18) ).
cnf(i_0_12,negated_conjecture,
join(esk1_0,one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_12) ).
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/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_8) ).
cnf(i_0_1,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_1) ).
cnf(i_0_11,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,top)),complement(esk2_0))),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(composition(esk1_0,top)),complement(esk2_0)))) != complement(join(complement(composition(esk1_0,top)),complement(esk2_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-61cajmcp/input.p',i_0_11) ).
cnf(c_0_36,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_37,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_38,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_15 ).
cnf(c_0_40,plain,
join(X1,X2) = join(X2,X1),
i_0_13 ).
cnf(c_0_41,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_14 ).
cnf(c_0_42,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_46,plain,
join(complement(join(top,complement(X1))),complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_40]),c_0_40]) ).
cnf(c_0_47,plain,
join(top,complement(zero)) = join(top,top),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_48,plain,
join(X1,join(zero,complement(X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_38]),c_0_40]) ).
cnf(c_0_49,plain,
join(zero,complement(join(top,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_47]),c_0_38]),c_0_40]) ).
cnf(c_0_50,plain,
join(top,top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]),c_0_42]) ).
cnf(c_0_51,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_38]) ).
cnf(c_0_52,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_53,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_38]),c_0_40]) ).
cnf(c_0_54,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_41,c_0_51]) ).
cnf(c_0_55,plain,
join(zero,complement(join(complement(X1),complement(complement(complement(X1)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_38]) ).
cnf(c_0_56,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_57,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_41]),c_0_40]),c_0_37]),c_0_40]) ).
cnf(c_0_58,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_59,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_60,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_64,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
i_0_17 ).
cnf(c_0_65,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_60]) ).
cnf(c_0_66,plain,
complement(zero) = top,
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_67,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_68,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_59]) ).
cnf(c_0_69,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_40]),c_0_40]) ).
cnf(c_0_70,plain,
complement(complement(X1)) = 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_43,c_0_65]),c_0_66]),c_0_40]),c_0_67]),c_0_38]),c_0_65]) ).
cnf(c_0_71,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_72,plain,
join(composition(X1,X2),composition(X1,complement(join(complement(X2),complement(composition(converse(X1),top)))))) = composition(X1,complement(join(complement(X2),complement(composition(converse(X1),top))))),
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_69,c_0_38]),c_0_65]),c_0_70]),c_0_60]),c_0_70]),c_0_60]),c_0_70]) ).
cnf(c_0_73,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_74,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_41]) ).
cnf(c_0_75,plain,
join(X1,X1) = X1,
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_72,c_0_71]),c_0_73]),c_0_73]),c_0_38]),c_0_40]),c_0_60]),c_0_70]),c_0_73]),c_0_73]),c_0_38]),c_0_40]),c_0_60]),c_0_70]),c_0_73]) ).
cnf(c_0_76,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_77,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_78,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_41]),c_0_75]) ).
cnf(c_0_79,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_76,c_0_40]) ).
cnf(c_0_80,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_81,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_82,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_43]),c_0_40]) ).
cnf(c_0_83,plain,
join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
inference(spm,[status(thm)],[c_0_79,c_0_38]) ).
cnf(c_0_84,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_80,c_0_61]) ).
cnf(c_0_85,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_81,c_0_73]) ).
cnf(c_0_86,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_87,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_82,c_0_70]) ).
cnf(c_0_88,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_18 ).
cnf(c_0_89,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[c_0_83,c_0_60]) ).
cnf(c_0_90,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_67,c_0_84]) ).
cnf(c_0_91,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_85,c_0_61]) ).
cnf(c_0_92,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_93,negated_conjecture,
join(esk1_0,one) = one,
i_0_12 ).
cnf(c_0_94,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_43]),c_0_86]),c_0_40]) ).
cnf(c_0_95,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_87,c_0_40]) ).
cnf(c_0_96,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_88,c_0_40]),c_0_40]) ).
cnf(c_0_97,plain,
composition(top,complement(composition(top,top))) = zero,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_98,plain,
composition(top,top) = top,
inference(spm,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_99,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_60]),c_0_59]) ).
cnf(c_0_100,negated_conjecture,
join(esk1_0,join(one,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_41,c_0_93]) ).
cnf(c_0_101,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,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_96,c_0_59]) ).
cnf(c_0_103,plain,
composition(top,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_38]) ).
cnf(c_0_104,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_65,c_0_99]) ).
cnf(c_0_105,plain,
join(esk1_0,join(X1,one)) = join(X1,one),
inference(spm,[status(thm)],[c_0_100,c_0_40]) ).
cnf(c_0_106,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_43]),c_0_86]),c_0_95]),c_0_40]) ).
cnf(c_0_107,plain,
composition(X1,zero) = composition(zero,zero),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_38]),c_0_65]),c_0_70]),c_0_38]),c_0_66]),c_0_40]),c_0_67]),c_0_38]),c_0_104]),c_0_60]),c_0_70]),c_0_81]),c_0_65]),c_0_38]),c_0_66]),c_0_40]),c_0_67]),c_0_38]),c_0_104]),c_0_60]),c_0_70]) ).
cnf(c_0_108,plain,
join(one,complement(esk1_0)) = join(top,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_105]),c_0_40]) ).
cnf(c_0_109,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_110,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_106,c_0_70]) ).
cnf(c_0_111,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_78]) ).
cnf(c_0_112,plain,
join(composition(X1,X2),join(composition(X3,X2),X4)) = join(composition(join(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_41,c_0_81]) ).
cnf(c_0_113,plain,
converse(join(X1,one)) = join(one,converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_71]),c_0_40]) ).
cnf(c_0_114,plain,
composition(X1,zero) = composition(esk1_0,zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_107]),c_0_107]) ).
cnf(c_0_115,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_43,c_0_40]) ).
cnf(c_0_116,plain,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_108,c_0_67]) ).
cnf(c_0_117,plain,
join(complement(composition(complement(join(complement(X1),complement(composition(X2,converse(X3))))),complement(join(complement(X3),complement(composition(converse(X1),X2)))))),complement(join(complement(join(complement(composition(X1,X3)),complement(X2))),complement(composition(complement(join(complement(X1),complement(composition(X2,converse(X3))))),complement(join(complement(X3),complement(composition(converse(X1),X2))))))))) = join(complement(composition(X1,X3)),complement(X2)),
inference(spm,[status(thm)],[c_0_43,c_0_109]) ).
cnf(c_0_118,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_110]) ).
cnf(c_0_119,plain,
join(complement(composition(X1,X2)),composition(join(X3,X1),X2)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_37]),c_0_40]),c_0_61]) ).
cnf(c_0_120,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_93]),c_0_71]) ).
cnf(c_0_121,plain,
composition(esk1_0,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_98]),c_0_90]),c_0_38]),c_0_114]) ).
cnf(c_0_122,plain,
complement(join(complement(esk1_0),complement(one))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_38]),c_0_60]) ).
cnf(c_0_123,plain,
join(X1,join(X2,join(X3,complement(join(X2,join(X3,X1)))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_86]),c_0_41]) ).
cnf(c_0_124,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_110,c_0_74]) ).
cnf(c_0_125,plain,
join(complement(composition(X1,X2)),join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))))) = join(complement(composition(X1,X2)),complement(X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_70]),c_0_86]) ).
cnf(c_0_126,negated_conjecture,
join(X1,complement(composition(converse(esk1_0),X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_73]),c_0_40]) ).
cnf(c_0_127,plain,
composition(X1,zero) = zero,
inference(rw,[status(thm)],[c_0_114,c_0_121]) ).
cnf(c_0_128,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_109,c_0_63]),c_0_40]),c_0_73]),c_0_73]) ).
cnf(c_0_129,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_120]),c_0_40]) ).
cnf(c_0_130,plain,
join(complement(esk1_0),complement(one)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_70,c_0_122]) ).
cnf(c_0_131,plain,
join(X1,join(X2,join(X3,complement(join(X2,X1))))) = top,
inference(rw,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_132,plain,
join(X1,complement(composition(esk1_0,X1))) = top,
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_125,c_0_126]),c_0_70]),c_0_38]),c_0_127]),c_0_66]),c_0_61]),c_0_61]),c_0_70]),c_0_40]) ).
cnf(c_0_133,plain,
join(esk1_0,composition(esk1_0,converse(esk1_0))) = composition(esk1_0,converse(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(spm,[status(thm)],[c_0_128,c_0_129]),c_0_63]),c_0_40]),c_0_130]),c_0_70]),c_0_71]),c_0_130]),c_0_70]),c_0_70]),c_0_71]),c_0_130]),c_0_70]),c_0_70]) ).
cnf(c_0_134,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_109,c_0_63]),c_0_71]),c_0_63]),c_0_71]),c_0_63]) ).
cnf(c_0_135,plain,
join(X1,join(X2,complement(composition(esk1_0,X1)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_38]),c_0_65]),c_0_86]) ).
cnf(c_0_136,plain,
join(complement(esk1_0),complement(composition(esk1_0,converse(esk1_0)))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_87,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
converse(join(esk1_0,composition(esk1_0,esk1_0))) = converse(composition(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_70]),c_0_70]),c_0_71]),c_0_73]),c_0_129]),c_0_70]),c_0_58]),c_0_77]),c_0_70]),c_0_71]),c_0_73]),c_0_129]),c_0_70]),c_0_58]) ).
cnf(c_0_138,plain,
join(complement(esk1_0),converse(esk1_0)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_40]) ).
cnf(c_0_139,plain,
join(esk1_0,composition(esk1_0,esk1_0)) = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_137]),c_0_59]) ).
cnf(c_0_140,plain,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_132]),c_0_38]),c_0_65]),c_0_70]) ).
cnf(c_0_141,plain,
join(composition(X1,top),complement(composition(X1,X2))) = top,
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_125,c_0_89]),c_0_70]),c_0_66]),c_0_61]),c_0_38]),c_0_127]),c_0_66]),c_0_61]),c_0_61]),c_0_70]),c_0_40]) ).
cnf(c_0_142,plain,
join(esk1_0,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_138]),c_0_38]),c_0_65]),c_0_70]),c_0_40]) ).
cnf(c_0_143,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
i_0_1 ).
cnf(c_0_144,plain,
composition(esk1_0,esk1_0) = esk1_0,
inference(rw,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,plain,
complement(join(complement(composition(X1,X2)),complement(composition(X1,top)))) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_141]),c_0_38]),c_0_60]) ).
cnf(c_0_146,plain,
join(complement(join(complement(composition(X1,top)),complement(X2))),complement(join(complement(X2),complement(composition(X1,composition(converse(X1),X2)))))) = complement(join(complement(X2),complement(composition(X1,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_69,c_0_38]),c_0_60]),c_0_70]),c_0_60]),c_0_70]) ).
cnf(c_0_147,plain,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_142]),c_0_59]),c_0_40]),c_0_142]) ).
cnf(c_0_148,plain,
composition(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_149,plain,
join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_132]),c_0_38]),c_0_65]),c_0_40]) ).
cnf(c_0_150,plain,
complement(join(complement(composition(X1,top)),complement(composition(X1,X2)))) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_145,c_0_40]) ).
cnf(c_0_151,plain,
join(composition(esk1_0,X1),complement(join(complement(composition(esk1_0,top)),complement(X1)))) = composition(esk1_0,X1),
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_146,c_0_147]),c_0_148]),c_0_149]),c_0_70]),c_0_148]),c_0_149]),c_0_70]),c_0_40]) ).
cnf(c_0_152,plain,
join(complement(composition(X1,top)),complement(composition(X1,X2))) = complement(composition(X1,X2)),
inference(spm,[status(thm)],[c_0_70,c_0_150]) ).
cnf(c_0_153,plain,
join(complement(composition(esk1_0,top)),complement(X1)) = complement(composition(esk1_0,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_95,c_0_151]),c_0_70]),c_0_41]),c_0_149]),c_0_152]),c_0_70]) ).
cnf(c_0_154,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,top)),complement(esk2_0))),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(composition(esk1_0,top)),complement(esk2_0)))) != complement(join(complement(composition(esk1_0,top)),complement(esk2_0))) ),
i_0_11 ).
cnf(c_0_155,plain,
join(complement(composition(esk1_0,top)),X1) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_153,c_0_70]) ).
cnf(c_0_156,negated_conjecture,
( join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != complement(join(complement(esk2_0),complement(composition(esk1_0,top))))
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_40]),c_0_40]),c_0_40]),c_0_40]) ).
cnf(c_0_157,plain,
join(X1,complement(composition(esk1_0,top))) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_40,c_0_155]) ).
cnf(c_0_158,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)],[c_0_156,c_0_157]),c_0_70]),c_0_70]),c_0_81]),c_0_75]),c_0_157]),c_0_70]),c_0_70]),c_0_157]),c_0_70]),c_0_70]),c_0_81]),c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL026+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n008.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
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Fri Jul 8 09:39:25 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.18/3.66 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 17.18/3.66 # Version: 2.1pre011
% 17.18/3.66 # Preprocessing time : 0.019 s
% 17.18/3.66
% 17.18/3.66 # Proof found!
% 17.18/3.66 # SZS status Theorem
% 17.18/3.66 # SZS output start CNFRefutation
% See solution above
% 17.18/3.66 # Proof object total steps : 140
% 17.18/3.66 # Proof object clause steps : 123
% 17.18/3.66 # Proof object formula steps : 17
% 17.18/3.66 # Proof object conjectures : 11
% 17.18/3.66 # Proof object clause conjectures : 9
% 17.18/3.66 # Proof object formula conjectures : 2
% 17.18/3.66 # Proof object initial clauses used : 17
% 17.18/3.66 # Proof object initial formulas used : 17
% 17.18/3.66 # Proof object generating inferences : 88
% 17.18/3.66 # Proof object simplifying inferences : 216
% 17.18/3.66 # Training examples: 0 positive, 0 negative
% 17.18/3.66 # Parsed axioms : 17
% 17.18/3.66 # Removed by relevancy pruning/SinE : 0
% 17.18/3.66 # Initial clauses : 17
% 17.18/3.66 # Removed in clause preprocessing : 0
% 17.18/3.66 # Initial clauses in saturation : 17
% 17.18/3.66 # Processed clauses : 1738
% 17.18/3.66 # ...of these trivial : 872
% 17.18/3.66 # ...subsumed : 205
% 17.18/3.66 # ...remaining for further processing : 661
% 17.18/3.66 # Other redundant clauses eliminated : 0
% 17.18/3.66 # Clauses deleted for lack of memory : 0
% 17.18/3.66 # Backward-subsumed : 0
% 17.18/3.66 # Backward-rewritten : 290
% 17.18/3.66 # Generated clauses : 64916
% 17.18/3.66 # ...of the previous two non-trivial : 48105
% 17.18/3.66 # Contextual simplify-reflections : 0
% 17.18/3.66 # Paramodulations : 64916
% 17.18/3.66 # Factorizations : 0
% 17.18/3.66 # Equation resolutions : 0
% 17.18/3.66 # Propositional unsat checks : 0
% 17.18/3.66 # Propositional unsat check successes : 0
% 17.18/3.66 # Current number of processed clauses : 371
% 17.18/3.66 # Positive orientable unit clauses : 365
% 17.18/3.66 # Positive unorientable unit clauses: 6
% 17.18/3.66 # Negative unit clauses : 0
% 17.18/3.66 # Non-unit-clauses : 0
% 17.18/3.66 # Current number of unprocessed clauses: 32547
% 17.18/3.66 # ...number of literals in the above : 32547
% 17.18/3.66 # Current number of archived formulas : 0
% 17.18/3.66 # Current number of archived clauses : 290
% 17.18/3.66 # Clause-clause subsumption calls (NU) : 0
% 17.18/3.66 # Rec. Clause-clause subsumption calls : 0
% 17.18/3.66 # Non-unit clause-clause subsumptions : 0
% 17.18/3.66 # Unit Clause-clause subsumption calls : 82
% 17.18/3.66 # Rewrite failures with RHS unbound : 0
% 17.18/3.66 # BW rewrite match attempts : 4621
% 17.18/3.66 # BW rewrite match successes : 279
% 17.18/3.66 # Condensation attempts : 0
% 17.18/3.66 # Condensation successes : 0
% 17.18/3.66 # Termbank termtop insertions : 1994260
% 17.18/3.66
% 17.18/3.66 # -------------------------------------------------
% 17.18/3.66 # User time : 1.135 s
% 17.18/3.66 # System time : 0.037 s
% 17.18/3.66 # Total time : 1.172 s
% 17.18/3.66 # ...preprocessing : 0.019 s
% 17.18/3.66 # ...main loop : 1.153 s
% 17.18/3.66 # Maximum resident set size: 70184 pages
% 17.18/3.66
%------------------------------------------------------------------------------