TSTP Solution File: REL042+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 19:13:48 EDT 2022
% Result : Theorem 11.88s 3.15s
% Output : CNFRefutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of clauses : 114 ( 114 unt; 0 nHn; 28 RR)
% Number of literals : 114 ( 113 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 144 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.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-ztgkuyr2/input.p',i_0_5) ).
cnf(i_0_12,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_12) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_9) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.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/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_14) ).
cnf(i_0_13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_13) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1))))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_11) ).
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-ztgkuyr2/input.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
join(composition(converse(esk1_0),esk1_0),one) != one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ztgkuyr2/input.p',i_0_10) ).
cnf(c_0_28,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_29,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_30,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_32,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29]) ).
cnf(c_0_33,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_34,plain,
join(X1,X2) = join(X2,X1),
i_0_12 ).
cnf(c_0_35,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_38,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
cnf(c_0_39,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_40,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35]),c_0_37]) ).
cnf(c_0_41,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_14 ).
cnf(c_0_43,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_13 ).
cnf(c_0_44,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_46,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,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_45,c_0_40]),c_0_39]),c_0_41]),c_0_34]) ).
cnf(c_0_48,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_43]) ).
cnf(c_0_51,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_49]) ).
cnf(c_0_52,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_43]),c_0_51]) ).
cnf(c_0_53,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_45,c_0_34]) ).
cnf(c_0_54,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_34]) ).
cnf(c_0_55,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_56,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_57,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_58,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_59,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_39]) ).
cnf(c_0_60,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_56,c_0_29]) ).
cnf(c_0_61,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1))))) = zero,
i_0_11 ).
cnf(c_0_62,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_63,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_49]),c_0_49]),c_0_34]) ).
cnf(c_0_64,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_34,c_0_59]) ).
cnf(c_0_65,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(esk1_0,complement(one))))) = zero,
inference(spm,[status(thm)],[c_0_61,c_0_31]) ).
cnf(c_0_67,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_68,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_69,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_63,c_0_49]) ).
cnf(c_0_70,plain,
join(X1,join(X2,complement(join(X2,X1)))) = top,
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
cnf(c_0_71,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_72,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
join(zero,complement(join(complement(esk1_0),composition(esk1_0,complement(one))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_66]),c_0_34]) ).
cnf(c_0_74,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_56,c_0_29]) ).
cnf(c_0_75,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_67,c_0_31]) ).
cnf(c_0_76,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_34]) ).
cnf(c_0_77,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_78,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_68,c_0_28]) ).
cnf(c_0_79,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
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_70]),c_0_41]),c_0_43]),c_0_71]),c_0_43]),c_0_34]),c_0_58]) ).
cnf(c_0_80,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_39]),c_0_72]) ).
cnf(c_0_81,plain,
join(converse(X1),join(converse(X2),X3)) = join(converse(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_43,c_0_56]) ).
cnf(c_0_82,plain,
complement(join(complement(esk1_0),composition(esk1_0,complement(one)))) = esk1_0,
inference(rw,[status(thm)],[c_0_73,c_0_48]) ).
cnf(c_0_83,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_34]),c_0_75]) ).
cnf(c_0_84,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_34]) ).
cnf(c_0_85,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_76,c_0_49]) ).
cnf(c_0_86,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
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_77,c_0_78]),c_0_56]),c_0_28]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_87,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_41]),c_0_71]) ).
cnf(c_0_88,plain,
join(complement(converse(X1)),converse(join(X2,X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_39]),c_0_34]),c_0_59]) ).
cnf(c_0_89,plain,
join(complement(esk1_0),composition(esk1_0,complement(one))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_49,c_0_82]) ).
cnf(c_0_90,plain,
converse(composition(X1,complement(one))) = composition(complement(one),converse(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1)))) = top,
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_84,c_0_61]),c_0_48]),c_0_71]),c_0_49]),c_0_34]),c_0_39]) ).
cnf(c_0_92,plain,
join(complement(composition(X1,X2)),complement(composition(X1,join(X2,X3)))) = complement(composition(X1,X2)),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_87]),c_0_29]),c_0_29]) ).
cnf(c_0_94,plain,
join(converse(complement(esk1_0)),complement(composition(complement(one),converse(esk1_0)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_34]) ).
cnf(c_0_95,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_45,c_0_49]) ).
cnf(c_0_96,plain,
complement(join(composition(esk1_0,X1),complement(composition(esk1_0,complement(X1))))) = composition(esk1_0,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_91]),c_0_41]),c_0_71]),c_0_34]) ).
cnf(c_0_97,plain,
join(complement(composition(X1,X2)),complement(composition(X1,top))) = complement(composition(X1,X2)),
inference(spm,[status(thm)],[c_0_92,c_0_59]) ).
cnf(c_0_98,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_93,c_0_49]) ).
cnf(c_0_99,plain,
join(complement(esk1_0),converse(complement(composition(complement(one),converse(esk1_0))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_94]),c_0_72]) ).
cnf(c_0_100,plain,
join(complement(composition(esk1_0,top)),composition(esk1_0,complement(X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_86]),c_0_39]) ).
cnf(c_0_101,plain,
join(complement(composition(X1,top)),complement(composition(X1,X2))) = complement(composition(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_97]) ).
cnf(c_0_102,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_58,c_0_98]),c_0_49]),c_0_34]),c_0_87]) ).
cnf(c_0_103,plain,
complement(join(complement(esk1_0),complement(converse(complement(composition(complement(one),converse(esk1_0))))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_99]),c_0_41]),c_0_48]) ).
cnf(c_0_104,plain,
join(complement(composition(esk1_0,top)),composition(esk1_0,X1)) = complement(composition(esk1_0,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_100]),c_0_49]),c_0_101]) ).
cnf(c_0_105,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_49,c_0_102]) ).
cnf(c_0_106,plain,
join(esk1_0,converse(complement(composition(complement(one),converse(esk1_0))))) = converse(complement(composition(complement(one),converse(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_103]),c_0_49]),c_0_49]),c_0_34]) ).
cnf(c_0_107,plain,
complement(composition(esk1_0,complement(one))) = join(esk1_0,complement(composition(esk1_0,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_31]),c_0_34]) ).
cnf(c_0_108,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_105]) ).
cnf(c_0_109,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_48]),c_0_29]) ).
cnf(c_0_110,plain,
join(converse(esk1_0),complement(composition(complement(one),converse(esk1_0)))) = complement(composition(complement(one),converse(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_106]),c_0_29]) ).
cnf(c_0_111,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_68,c_0_37]) ).
cnf(c_0_112,plain,
converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)),
inference(spm,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_113,plain,
join(one,composition(converse(esk1_0),join(esk1_0,complement(composition(esk1_0,top))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_107]),c_0_49]),c_0_49]) ).
cnf(c_0_114,plain,
converse(join(esk1_0,complement(composition(esk1_0,top)))) = complement(composition(complement(one),converse(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_107]),c_0_90]) ).
cnf(c_0_115,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_48]) ).
cnf(c_0_116,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_72]) ).
cnf(c_0_117,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_71,c_0_109]) ).
cnf(c_0_118,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_84,c_0_49]) ).
cnf(c_0_119,plain,
join(complement(composition(top,converse(esk1_0))),composition(complement(one),converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_110]),c_0_111]),c_0_39]),c_0_49]) ).
cnf(c_0_120,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_121,plain,
join(one,composition(complement(composition(complement(one),converse(esk1_0))),esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_35]),c_0_35]),c_0_114]) ).
cnf(c_0_122,plain,
composition(join(X1,complement(composition(top,converse(X2)))),X2) = composition(X1,X2),
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_78,c_0_115]),c_0_29]),c_0_29]),c_0_108]),c_0_116]),c_0_117]),c_0_71]) ).
cnf(c_0_123,plain,
join(converse(esk1_0),complement(composition(top,converse(esk1_0)))) = complement(composition(complement(one),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_119]),c_0_68]),c_0_59]),c_0_49]),c_0_34]) ).
cnf(c_0_124,negated_conjecture,
join(composition(converse(esk1_0),esk1_0),one) != one,
i_0_10 ).
cnf(c_0_125,plain,
join(one,converse(composition(complement(composition(complement(one),converse(esk1_0))),esk1_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_35]) ).
cnf(c_0_126,plain,
composition(complement(composition(complement(one),converse(esk1_0))),esk1_0) = composition(converse(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) != one,
inference(rw,[status(thm)],[c_0_124,c_0_34]) ).
cnf(c_0_128,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126]),c_0_30]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : REL042+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 12:36:02 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.20/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.88/3.15 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 11.88/3.15 # Version: 2.1pre011
% 11.88/3.15 # Preprocessing time : 0.014 s
% 11.88/3.15
% 11.88/3.15 # Proof found!
% 11.88/3.15 # SZS status Theorem
% 11.88/3.15 # SZS output start CNFRefutation
% See solution above
% 11.88/3.15 # Proof object total steps : 114
% 11.88/3.15 # Proof object clause steps : 101
% 11.88/3.15 # Proof object formula steps : 13
% 11.88/3.15 # Proof object conjectures : 7
% 11.88/3.15 # Proof object clause conjectures : 5
% 11.88/3.15 # Proof object formula conjectures : 2
% 11.88/3.15 # Proof object initial clauses used : 13
% 11.88/3.15 # Proof object initial formulas used : 13
% 11.88/3.15 # Proof object generating inferences : 80
% 11.88/3.15 # Proof object simplifying inferences : 93
% 11.88/3.15 # Training examples: 0 positive, 0 negative
% 11.88/3.15 # Parsed axioms : 14
% 11.88/3.15 # Removed by relevancy pruning/SinE : 0
% 11.88/3.15 # Initial clauses : 14
% 11.88/3.15 # Removed in clause preprocessing : 0
% 11.88/3.15 # Initial clauses in saturation : 14
% 11.88/3.15 # Processed clauses : 1648
% 11.88/3.15 # ...of these trivial : 903
% 11.88/3.15 # ...subsumed : 177
% 11.88/3.15 # ...remaining for further processing : 568
% 11.88/3.15 # Other redundant clauses eliminated : 0
% 11.88/3.15 # Clauses deleted for lack of memory : 0
% 11.88/3.15 # Backward-subsumed : 0
% 11.88/3.15 # Backward-rewritten : 206
% 11.88/3.15 # Generated clauses : 51016
% 11.88/3.15 # ...of the previous two non-trivial : 33754
% 11.88/3.15 # Contextual simplify-reflections : 0
% 11.88/3.15 # Paramodulations : 51016
% 11.88/3.15 # Factorizations : 0
% 11.88/3.15 # Equation resolutions : 0
% 11.88/3.15 # Propositional unsat checks : 0
% 11.88/3.15 # Propositional unsat check successes : 0
% 11.88/3.15 # Current number of processed clauses : 362
% 11.88/3.15 # Positive orientable unit clauses : 350
% 11.88/3.15 # Positive unorientable unit clauses: 11
% 11.88/3.15 # Negative unit clauses : 1
% 11.88/3.15 # Non-unit-clauses : 0
% 11.88/3.15 # Current number of unprocessed clauses: 24085
% 11.88/3.15 # ...number of literals in the above : 24085
% 11.88/3.15 # Current number of archived formulas : 0
% 11.88/3.15 # Current number of archived clauses : 206
% 11.88/3.15 # Clause-clause subsumption calls (NU) : 0
% 11.88/3.15 # Rec. Clause-clause subsumption calls : 0
% 11.88/3.15 # Non-unit clause-clause subsumptions : 0
% 11.88/3.15 # Unit Clause-clause subsumption calls : 44
% 11.88/3.15 # Rewrite failures with RHS unbound : 0
% 11.88/3.15 # BW rewrite match attempts : 1677
% 11.88/3.15 # BW rewrite match successes : 248
% 11.88/3.15 # Condensation attempts : 0
% 11.88/3.15 # Condensation successes : 0
% 11.88/3.15 # Termbank termtop insertions : 831887
% 11.88/3.15
% 11.88/3.15 # -------------------------------------------------
% 11.88/3.15 # User time : 0.550 s
% 11.88/3.15 # System time : 0.029 s
% 11.88/3.15 # Total time : 0.579 s
% 11.88/3.15 # ...preprocessing : 0.014 s
% 11.88/3.15 # ...main loop : 0.565 s
% 11.88/3.15 # Maximum resident set size: 43524 pages
% 11.88/3.15
%------------------------------------------------------------------------------