TSTP Solution File: REL033+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL033+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 19:13:35 EDT 2022
% Result : Theorem 37.49s 6.08s
% Output : CNFRefutation 37.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of clauses : 109 ( 106 unt; 0 nHn; 23 RR)
% Number of literals : 112 ( 111 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 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 : 162 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/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-bux4_der/input.p',i_0_5) ).
cnf(i_0_12,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/input.p',i_0_12) ).
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-bux4_der/input.p',i_0_14) ).
cnf(i_0_9,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/input.p',i_0_9) ).
cnf(i_0_8,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/input.p',i_0_8) ).
cnf(i_0_13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/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-bux4_der/input.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
composition(esk1_0,top) = esk1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/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-bux4_der/input.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
( join(complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))),composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)) != composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)
| join(composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0),complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0))))) != complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bux4_der/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(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_14 ).
cnf(c_0_37,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_9 ).
cnf(c_0_38,plain,
join(X1,complement(X1)) = top,
i_0_8 ).
cnf(c_0_39,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_13 ).
cnf(c_0_40,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_41,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_42,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_43,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]),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_42,c_0_43]),c_0_34]),c_0_34]) ).
cnf(c_0_47,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]),c_0_34]) ).
cnf(c_0_48,plain,
join(zero,complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_43]) ).
cnf(c_0_49,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_42,c_0_38]),c_0_43]),c_0_45]),c_0_34]) ).
cnf(c_0_50,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_53,negated_conjecture,
composition(esk1_0,top) = esk1_0,
i_0_11 ).
cnf(c_0_54,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_51]) ).
cnf(c_0_55,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
cnf(c_0_56,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
join(zero,composition(converse(esk1_0),complement(esk1_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_53]),c_0_43]),c_0_43]) ).
cnf(c_0_58,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_54]),c_0_51]),c_0_38]),c_0_43]) ).
cnf(c_0_59,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_29]) ).
cnf(c_0_60,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_61,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = zero,
inference(rw,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_62,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_64,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_65,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_66,plain,
composition(converse(complement(esk1_0)),esk1_0) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_61]),c_0_62]) ).
cnf(c_0_67,plain,
complement(zero) = top,
inference(spm,[status(thm)],[c_0_38,c_0_50]) ).
cnf(c_0_68,negated_conjecture,
composition(join(esk1_0,X1),top) = join(esk1_0,composition(X1,top)),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_69,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_39]) ).
cnf(c_0_71,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_72,plain,
join(complement(esk1_0),composition(complement(esk1_0),top)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_66]),c_0_29]),c_0_67]) ).
cnf(c_0_73,negated_conjecture,
join(esk1_0,composition(join(complement(esk1_0),X1),top)) = composition(top,top),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_41]),c_0_34]) ).
cnf(c_0_75,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X2),complement(X1))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
join(esk1_0,complement(join(complement(esk1_0),complement(composition(complement(esk1_0),top))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_72]),c_0_51]) ).
cnf(c_0_77,plain,
join(esk1_0,composition(complement(esk1_0),top)) = composition(top,top),
inference(spm,[status(thm)],[c_0_68,c_0_38]) ).
cnf(c_0_78,plain,
composition(top,top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_65]),c_0_60]) ).
cnf(c_0_79,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_80,plain,
join(esk1_0,complement(join(esk1_0,complement(composition(complement(esk1_0),top))))) = top,
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_76]),c_0_34]),c_0_77]),c_0_78]),c_0_34]) ).
cnf(c_0_81,plain,
complement(join(complement(esk1_0),complement(join(esk1_0,complement(composition(complement(esk1_0),top)))))) = join(esk1_0,complement(composition(complement(esk1_0),top))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_43]),c_0_56]),c_0_34]) ).
cnf(c_0_82,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
cnf(c_0_83,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_84,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_85,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_71,c_0_34]) ).
cnf(c_0_86,plain,
join(esk1_0,complement(composition(complement(esk1_0),top))) = 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(spm,[status(thm)],[c_0_42,c_0_81]),c_0_51]),c_0_70]),c_0_69]),c_0_43]),c_0_39]),c_0_58]) ).
cnf(c_0_87,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_71,c_0_51]) ).
cnf(c_0_88,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_83]),c_0_55]),c_0_83]) ).
cnf(c_0_89,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_39,c_0_42]) ).
cnf(c_0_90,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_84,c_0_82]),c_0_52]),c_0_28]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_91,plain,
join(complement(esk1_0),complement(join(complement(esk1_0),complement(composition(complement(esk1_0),top))))) = composition(complement(esk1_0),top),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
complement(composition(complement(esk1_0),top)) = 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(spm,[status(thm)],[c_0_87,c_0_72]),c_0_34]),c_0_77]),c_0_78]),c_0_43]),c_0_51]),c_0_56]) ).
cnf(c_0_93,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_94,negated_conjecture,
join(esk1_0,composition(esk1_0,converse(X1))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_53]),c_0_60]),c_0_53]),c_0_34]) ).
cnf(c_0_95,plain,
join(complement(join(X1,complement(X2))),join(complement(join(complement(X2),complement(X1))),X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_89,c_0_34]) ).
cnf(c_0_96,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_34]),c_0_51]) ).
cnf(c_0_97,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_98,plain,
join(composition(X1,X2),join(composition(X1,X3),X4)) = join(composition(X1,join(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_39,c_0_90]) ).
cnf(c_0_99,plain,
composition(complement(esk1_0),top) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92]),c_0_34]),c_0_38]),c_0_43]),c_0_58]) ).
cnf(c_0_100,plain,
join(composition(X1,X2),join(X3,composition(X4,X2))) = join(X3,composition(join(X4,X1),X2)),
inference(spm,[status(thm)],[c_0_93,c_0_63]) ).
cnf(c_0_101,plain,
join(esk1_0,composition(esk1_0,X1)) = esk1_0,
inference(spm,[status(thm)],[c_0_94,c_0_29]) ).
cnf(c_0_102,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_54]),c_0_42]) ).
cnf(c_0_103,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(X2,complement(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_75]),c_0_51]),c_0_51]),c_0_34]) ).
cnf(c_0_104,plain,
join(X1,complement(join(X1,complement(X2)))) = join(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_51]),c_0_39]),c_0_93]),c_0_69]),c_0_60]),c_0_43]),c_0_39]),c_0_58]),c_0_51]),c_0_34]) ).
cnf(c_0_105,plain,
join(complement(esk1_0),join(composition(complement(esk1_0),X1),X2)) = join(complement(esk1_0),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_60]),c_0_99]),c_0_70]) ).
cnf(c_0_106,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_54]) ).
cnf(c_0_107,plain,
join(esk1_0,composition(join(esk1_0,X1),X2)) = join(esk1_0,composition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_34]) ).
cnf(c_0_108,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_102,c_0_51]) ).
cnf(c_0_109,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_79,c_0_51]) ).
cnf(c_0_110,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,X1),
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_39]),c_0_54]) ).
cnf(c_0_112,plain,
join(complement(esk1_0),composition(join(complement(esk1_0),X1),X2)) = join(complement(esk1_0),composition(X1,X2)),
inference(spm,[status(thm)],[c_0_105,c_0_63]) ).
cnf(c_0_113,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_97]),c_0_51]),c_0_51]),c_0_93]),c_0_34]),c_0_104]),c_0_106]),c_0_34]) ).
cnf(c_0_114,plain,
join(esk1_0,composition(complement(join(complement(esk1_0),X1)),X2)) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_101]) ).
cnf(c_0_115,plain,
join(X1,complement(join(X2,X1))) = join(complement(X2),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_109,c_0_87]),c_0_51]),c_0_51]),c_0_51]),c_0_93]),c_0_34]),c_0_110]),c_0_111]) ).
cnf(c_0_116,plain,
join(complement(esk1_0),composition(complement(join(complement(esk1_0),X1)),X2)) = join(complement(esk1_0),composition(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_112]) ).
cnf(c_0_117,plain,
join(complement(esk1_0),complement(composition(complement(join(complement(esk1_0),X1)),X2))) = complement(composition(complement(join(complement(esk1_0),X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_114]),c_0_115]),c_0_34]) ).
cnf(c_0_118,plain,
join(complement(esk1_0),complement(composition(complement(X1),X2))) = complement(composition(complement(join(complement(esk1_0),X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_116]),c_0_113]),c_0_117]) ).
cnf(c_0_119,negated_conjecture,
( join(complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))),composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)) != composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)
| join(composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0),complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0))))) != complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))) ),
i_0_10 ).
cnf(c_0_120,plain,
complement(composition(complement(join(complement(esk1_0),complement(X1))),X2)) = join(complement(esk1_0),complement(composition(X1,X2))),
inference(spm,[status(thm)],[c_0_118,c_0_51]) ).
cnf(c_0_121,negated_conjecture,
( join(complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))),composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)) != composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)
| join(complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))),composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0)) != complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))) ),
inference(rw,[status(thm)],[c_0_119,c_0_34]) ).
cnf(c_0_122,plain,
composition(complement(join(complement(esk1_0),complement(X1))),X2) = complement(join(complement(esk1_0),complement(composition(X1,X2)))),
inference(spm,[status(thm)],[c_0_51,c_0_120]) ).
cnf(c_0_123,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)],[c_0_121,c_0_122]),c_0_54]),c_0_122]),c_0_122]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL033+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 13:39:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 37.49/6.08 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 37.49/6.08 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 51; version: 991; iters: 150)
% 37.49/6.08 # Preprocessing time : 0.812 s
% 37.49/6.08 # Presaturation interreduction done
% 37.49/6.08
% 37.49/6.08 # Proof found!
% 37.49/6.08 # SZS status Theorem
% 37.49/6.08 # SZS output start CNFRefutation
% See solution above
% 37.49/6.08 # Training examples: 0 positive, 0 negative
% 37.49/6.08
% 37.49/6.08 # -------------------------------------------------
% 37.49/6.08 # User time : 3.629 s
% 37.49/6.08 # System time : 0.124 s
% 37.49/6.08 # Total time : 3.753 s
% 37.49/6.08 # ...preprocessing : 0.812 s
% 37.49/6.08 # ...main loop : 2.941 s
% 37.49/6.08 # Maximum resident set size: 166860 pages
% 37.49/6.08
%------------------------------------------------------------------------------