TSTP Solution File: REL025+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL025+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 19:13:19 EDT 2022

% Result   : Theorem 9.63s 2.74s
% Output   : CNFRefutation 9.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  113 ( 113 unt;   0 nHn;  15 RR)
%            Number of literals    :  113 ( 112 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :  162 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_6) ).

cnf(i_0_3,plain,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/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-sc00jcfs/lgb.p',i_0_5) ).

cnf(i_0_12,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.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-sc00jcfs/lgb.p',i_0_9) ).

cnf(i_0_8,plain,
    join(X1,complement(X1)) = top,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_8) ).

cnf(i_0_14,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.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-sc00jcfs/lgb.p',i_0_13) ).

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-sc00jcfs/lgb.p',i_0_2) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_4) ).

cnf(i_0_11,negated_conjecture,
    join(esk1_0,one) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_11) ).

cnf(i_0_1,plain,
    composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_1) ).

cnf(i_0_10,negated_conjecture,
    converse(esk1_0) != esk1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sc00jcfs/lgb.p',i_0_10) ).

cnf(c_0_29,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_30,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_31,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    composition(X1,one) = X1,
    i_0_3 ).

cnf(c_0_33,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]) ).

cnf(c_0_34,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    i_0_5 ).

cnf(c_0_35,plain,
    join(X1,X2) = join(X2,X1),
    i_0_12 ).

cnf(c_0_36,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_39,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    i_0_9 ).

cnf(c_0_40,plain,
    join(X1,complement(X1)) = top,
    i_0_8 ).

cnf(c_0_41,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]),c_0_38]) ).

cnf(c_0_42,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    i_0_14 ).

cnf(c_0_44,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    i_0_13 ).

cnf(c_0_45,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_43,c_0_35]) ).

cnf(c_0_47,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_41]),c_0_42]),c_0_35]) ).

cnf(c_0_49,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_51,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_41,c_0_50]) ).

cnf(c_0_52,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_44,c_0_51]) ).

cnf(c_0_53,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_44,c_0_40]) ).

cnf(c_0_54,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_35]) ).

cnf(c_0_55,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_35]) ).

cnf(c_0_56,plain,
    join(X1,join(X2,complement(X1))) = join(top,X2),
    inference(spm,[status(thm)],[c_0_53,c_0_35]) ).

cnf(c_0_57,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    i_0_2 ).

cnf(c_0_58,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    join(top,complement(complement(X1))) = join(X1,top),
    inference(spm,[status(thm)],[c_0_53,c_0_40]) ).

cnf(c_0_60,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_40]) ).

cnf(c_0_61,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_62,plain,
    join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_38]),c_0_35]) ).

cnf(c_0_63,plain,
    join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
    inference(spm,[status(thm)],[c_0_44,c_0_35]) ).

cnf(c_0_64,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_58,c_0_50]) ).

cnf(c_0_65,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_61,c_0_30]) ).

cnf(c_0_67,plain,
    converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_68,plain,
    converse(join(X1,one)) = join(one,converse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_36]),c_0_35]) ).

cnf(c_0_69,plain,
    join(composition(join(X1,one),X2),X3) = join(X2,join(composition(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_44,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    join(esk1_0,one) = one,
    i_0_11 ).

cnf(c_0_71,plain,
    converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
    inference(spm,[status(thm)],[c_0_61,c_0_31]) ).

cnf(c_0_72,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[c_0_57,c_0_29]) ).

cnf(c_0_73,plain,
    join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_46]),c_0_50]),c_0_63]),c_0_64]) ).

cnf(c_0_74,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_35,c_0_65]) ).

cnf(c_0_75,plain,
    join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_62]),c_0_67]),c_0_68]),c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_38]) ).

cnf(c_0_77,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_71,c_0_72]),c_0_61]),c_0_29]),c_0_30]),c_0_30]),c_0_30]) ).

cnf(c_0_78,plain,
    join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_73,c_0_50]) ).

cnf(c_0_79,plain,
    join(X1,join(complement(X1),X2)) = top,
    inference(rw,[status(thm)],[c_0_53,c_0_74]) ).

cnf(c_0_80,plain,
    join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
    inference(spm,[status(thm)],[c_0_75,c_0_30]) ).

cnf(c_0_81,plain,
    join(X1,converse(top)) = converse(top),
    inference(spm,[status(thm)],[c_0_66,c_0_65]) ).

cnf(c_0_82,plain,
    join(X1,composition(esk1_0,join(X1,X2))) = join(X1,composition(esk1_0,X2)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_78]),c_0_52]) ).

cnf(c_0_84,plain,
    join(X1,composition(complement(X1),join(one,X2))) = top,
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_85,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_74,c_0_81]) ).

cnf(c_0_86,plain,
    join(X1,composition(esk1_0,complement(X1))) = join(X1,composition(esk1_0,top)),
    inference(spm,[status(thm)],[c_0_82,c_0_40]) ).

cnf(c_0_87,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_83,c_0_35]) ).

cnf(c_0_88,plain,
    join(X1,complement(composition(esk1_0,X1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_40]),c_0_65]) ).

cnf(c_0_89,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_35,c_0_49]) ).

cnf(c_0_90,plain,
    join(X1,composition(complement(X1),top)) = top,
    inference(spm,[status(thm)],[c_0_84,c_0_84]) ).

cnf(c_0_91,plain,
    join(X1,converse(complement(converse(X1)))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_40]),c_0_85]) ).

cnf(c_0_92,plain,
    join(X1,complement(composition(esk1_0,complement(X1)))) = join(X1,complement(composition(esk1_0,top))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_86]),c_0_83]) ).

cnf(c_0_93,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_87,c_0_88]),c_0_42]),c_0_89]),c_0_35]) ).

cnf(c_0_94,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_44]) ).

cnf(c_0_95,plain,
    join(complement(X1),composition(X1,top)) = top,
    inference(spm,[status(thm)],[c_0_90,c_0_50]) ).

cnf(c_0_96,plain,
    join(X1,complement(converse(complement(converse(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_91]),c_0_42]),c_0_89]) ).

cnf(c_0_97,plain,
    join(complement(X1),complement(composition(esk1_0,top))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_50]),c_0_93]) ).

cnf(c_0_98,plain,
    join(complement(X1),join(X2,composition(X1,top))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_65]) ).

cnf(c_0_99,plain,
    composition(join(X1,one),top) = top,
    inference(spm,[status(thm)],[c_0_62,c_0_74]) ).

cnf(c_0_100,plain,
    join(complement(X1),join(X2,X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_46]),c_0_44]) ).

cnf(c_0_101,plain,
    join(X1,converse(complement(converse(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_96]),c_0_30]),c_0_30]) ).

cnf(c_0_102,plain,
    complement(composition(esk1_0,complement(X1))) = join(X1,complement(composition(esk1_0,top))),
    inference(spm,[status(thm)],[c_0_97,c_0_50]) ).

cnf(c_0_103,plain,
    join(complement(X1),composition(join(X2,X1),top)) = top,
    inference(spm,[status(thm)],[c_0_98,c_0_57]) ).

cnf(c_0_104,plain,
    composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
    i_0_1 ).

cnf(c_0_105,plain,
    composition(join(one,X1),top) = top,
    inference(spm,[status(thm)],[c_0_99,c_0_35]) ).

cnf(c_0_106,plain,
    join(complement(X1),join(X1,X2)) = top,
    inference(spm,[status(thm)],[c_0_100,c_0_35]) ).

cnf(c_0_107,plain,
    join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_30]) ).

cnf(c_0_108,plain,
    converse(composition(top,X1)) = composition(converse(X1),top),
    inference(spm,[status(thm)],[c_0_31,c_0_85]) ).

cnf(c_0_109,plain,
    join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_101,c_0_50]) ).

cnf(c_0_110,plain,
    complement(join(X1,complement(composition(esk1_0,top)))) = composition(esk1_0,complement(X1)),
    inference(spm,[status(thm)],[c_0_50,c_0_102]) ).

cnf(c_0_111,plain,
    join(composition(X1,top),complement(composition(X1,X2))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_80]),c_0_104]),c_0_105]),c_0_35]) ).

cnf(c_0_112,plain,
    join(complement(zero),X1) = top,
    inference(spm,[status(thm)],[c_0_106,c_0_48]) ).

cnf(c_0_113,plain,
    composition(X1,complement(composition(converse(X1),top))) = zero,
    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_107,c_0_108]),c_0_85]),c_0_42]),c_0_49]),c_0_85]),c_0_42]) ).

cnf(c_0_114,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_64,c_0_109]),c_0_50]),c_0_35]),c_0_96]) ).

cnf(c_0_115,plain,
    complement(join(complement(X1),complement(composition(X1,top)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_90]),c_0_42]),c_0_50]),c_0_49]) ).

cnf(c_0_116,plain,
    composition(esk1_0,complement(composition(esk1_0,top))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_42]) ).

cnf(c_0_117,plain,
    complement(zero) = top,
    inference(spm,[status(thm)],[c_0_37,c_0_112]) ).

cnf(c_0_118,plain,
    composition(join(esk1_0,converse(esk1_0)),top) = composition(converse(esk1_0),top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_113]),c_0_89]),c_0_57]),c_0_35]) ).

cnf(c_0_119,plain,
    converse(complement(converse(X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_50,c_0_114]) ).

cnf(c_0_120,plain,
    join(complement(X1),complement(composition(X1,top))) = complement(X1),
    inference(spm,[status(thm)],[c_0_50,c_0_115]) ).

cnf(c_0_121,plain,
    composition(converse(esk1_0),top) = composition(esk1_0,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_37,c_0_116]),c_0_50]),c_0_117]),c_0_57]),c_0_118]),c_0_50]) ).

cnf(c_0_122,plain,
    converse(complement(X1)) = complement(converse(X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_119]) ).

cnf(c_0_123,plain,
    complement(composition(esk1_0,converse(esk1_0))) = complement(converse(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_97]) ).

cnf(c_0_124,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_46,c_0_35]) ).

cnf(c_0_125,plain,
    complement(converse(esk1_0)) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_119]),c_0_67]),c_0_123]) ).

cnf(c_0_126,negated_conjecture,
    converse(esk1_0) != esk1_0,
    i_0_10 ).

cnf(c_0_127,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_124]),c_0_126]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : REL025+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  8 15:02:31 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/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
% 9.63/2.74  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.63/2.74  # No SInE strategy applied
% 9.63/2.74  # Trying AutoSched0 for 150 seconds
% 9.63/2.74  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 9.63/2.74  # and selection function SelectNewComplexAHP.
% 9.63/2.74  #
% 9.63/2.74  # Preprocessing time       : 0.023 s
% 9.63/2.74  # Presaturation interreduction done
% 9.63/2.74  
% 9.63/2.74  # Proof found!
% 9.63/2.74  # SZS status Theorem
% 9.63/2.74  # SZS output start CNFRefutation
% See solution above
% 9.63/2.74  # Training examples: 0 positive, 0 negative
% 9.63/2.74  
% 9.63/2.74  # -------------------------------------------------
% 9.63/2.74  # User time                : 0.312 s
% 9.63/2.74  # System time              : 0.024 s
% 9.63/2.74  # Total time               : 0.336 s
% 9.63/2.74  # Maximum resident set size: 7124 pages
% 9.63/2.74  
%------------------------------------------------------------------------------