TSTP Solution File: REL024-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL024-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 : 300s
% DateTime : Tue Jul 26 07:11:37 EDT 2022
% Result : Unsatisfiable 46.84s 47.09s
% Output : CNFRefutation 46.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of clauses : 156 ( 156 unt; 0 nHn; 39 RR)
% Number of literals : 156 ( 155 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 182 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_28402') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_28402') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_28402') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_28402') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_28402') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_28402') ).
cnf(eq_6,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_28402') ).
cnf(eq_7,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_28402') ).
cnf(eq_8,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_28402') ).
cnf(eq_9,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_28402') ).
cnf(eq_10,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_28402') ).
cnf(eq_11,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_28402') ).
cnf(eq_12,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_28402') ).
cnf(eq_13,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
file('/tmp/MaedMax_28402') ).
cnf(eq_14,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_3]),eq_11]) ).
cnf(eq_15,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(eq_16,plain,
join(A,x102) = join(complement(join(complement(A),complement(B))),join(complement(join(complement(A),B)),x102)),
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_17,plain,
join(join(A,B),x102) = join(B,join(A,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_18,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_19,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_20,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_21,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_22,plain,
join(composition(converse(A),complement(A)),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_5,eq_10]) ).
cnf(eq_23,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_24,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_25,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_26,plain,
complement(A) = meet(join(complement(A),complement(B)),join(complement(A),B)),
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_27,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_28,plain,
meet(join(complement(A),complement(B)),meet(A,B)) = zero,
inference(cp,[status(thm)],[eq_3,eq_12]) ).
cnf(eq_29,plain,
composition(complement(B),x102) = join(composition(composition(converse(A),complement(composition(A,B))),x102),composition(complement(B),x102)),
inference(cp,[status(thm)],[eq_10,eq_6]) ).
cnf(eq_30,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(cp,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_31,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_23 ).
cnf(eq_32,plain,
join(complement(one),composition(converse(A),complement(A))) = complement(one),
inference(rw,[status(thm)],[eq_22,eq_0]) ).
cnf(eq_33,plain,
composition(converse(one),converse(A)) = converse(A),
eq_24 ).
cnf(eq_34,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_19 ).
cnf(eq_35,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(rw,[status(thm)],[eq_16,eq_40]) ).
cnf(eq_36,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_25 ).
cnf(eq_37,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_38,plain,
join(composition(complement(A),B),composition(converse(C),composition(complement(composition(C,A)),B))) = composition(complement(A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_4]),eq_0]) ).
cnf(eq_39,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_20 ).
cnf(eq_40,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_41,plain,
complement(join(zero,complement(x101))) = meet(top,x101),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_42,plain,
complement(join(complement(x100),zero)) = meet(x100,top),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_43,plain,
meet(top,zero) = zero,
inference(cp,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_44,plain,
join(B,join(A,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_0,eq_15]) ).
cnf(eq_45,plain,
join(complement(one),composition(A,complement(converse(A)))) = complement(one),
inference(cp,[status(thm)],[eq_7,eq_32]) ).
cnf(eq_46,plain,
complement(join(A,join(B,complement(join(A,B))))) = zero,
inference(cp,[status(thm)],[eq_15,eq_14]) ).
cnf(eq_47,plain,
composition(converse(x100),join(A,converse(B))) = converse(composition(join(converse(A),B),x100)),
inference(cp,[status(thm)],[eq_31,eq_9]) ).
cnf(eq_48,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_33]) ).
cnf(eq_49,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_31]) ).
cnf(eq_50,plain,
join(A,join(B,complement(join(B,A)))) = top,
eq_44 ).
cnf(eq_51,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_48,eq_7]) ).
cnf(eq_52,plain,
A = join(meet(B,A),complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_20,eq_3]) ).
cnf(eq_53,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_49 ).
cnf(eq_54,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_27,eq_3]) ).
cnf(eq_55,plain,
complement(join(zero,complement(A))) = meet(top,A),
eq_41 ).
cnf(eq_56,plain,
complement(join(zero,complement(A))) = meet(A,top),
inference(rw,[status(thm)],[eq_42,eq_0]) ).
cnf(eq_57,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_14]),eq_3]) ).
cnf(eq_58,plain,
A = join(zero,meet(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_14]),eq_3]) ).
cnf(eq_59,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_14,eq_34]) ).
cnf(eq_60,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_14]),eq_14]) ).
cnf(eq_61,plain,
join(composition(converse(A),B),composition(converse(A),converse(C))) = composition(converse(A),join(B,converse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_6]),eq_8]),eq_9]),eq_9]),eq_7]) ).
cnf(eq_62,plain,
join(converse(A),converse(complement(A))) = converse(top),
eq_30 ).
cnf(eq_63,plain,
join(complement(one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_51,eq_32]) ).
cnf(eq_64,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_51,eq_5]) ).
cnf(eq_65,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_60,eq_14]) ).
cnf(eq_66,plain,
zero = meet(complement(A),A),
inference(cp,[status(thm)],[eq_12,eq_54]) ).
cnf(eq_67,plain,
complement(join(zero,complement(zero))) = zero,
inference(cp,[status(thm)],[eq_55,eq_43]) ).
cnf(eq_68,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(converse(sk2),sk1),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
inference(cp,[status(thm)],[eq_54,eq_13]) ).
cnf(eq_69,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_51,eq_64]) ).
cnf(eq_70,plain,
meet(complement(A),A) = zero,
eq_66 ).
cnf(eq_71,negated_conjecture,
join(composition(meet(converse(sk2),sk1),meet(sk2,sk3)),composition(meet(converse(sk2),sk1),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
inference(cp,[status(thm)],[eq_54,eq_68]) ).
cnf(eq_72,negated_conjecture,
join(composition(meet(converse(sk2),sk1),sk3),composition(meet(converse(sk2),sk1),meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
inference(rw,[status(thm)],[eq_71,eq_0]) ).
cnf(eq_73,negated_conjecture,
join(composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3),composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk3),complement(sk2))))) != composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3),
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)],[eq_72,eq_3]),eq_3]),eq_3]),eq_0]),eq_0]),eq_0]),eq_3]) ).
cnf(eq_74,plain,
join(complement(join(complement(B),A)),A) = join(B,complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_39,eq_35]) ).
cnf(eq_75,plain,
join(composition(complement(A),x101),composition(converse(one),composition(complement(A),x101))) = composition(complement(A),x101),
inference(cp,[status(thm)],[eq_69,eq_38]) ).
cnf(eq_76,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_69,eq_10]) ).
cnf(eq_77,plain,
complement(one) = join(composition(A,complement(converse(A))),complement(one)),
inference(cp,[status(thm)],[eq_45,eq_0]) ).
cnf(eq_78,plain,
join(composition(complement(A),B),composition(one,composition(complement(A),B))) = composition(complement(A),B),
inference(rw,[status(thm)],[eq_75,eq_64]) ).
cnf(eq_79,plain,
join(A,complement(join(complement(B),A))) = join(B,complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_74,eq_0]) ).
cnf(eq_80,plain,
join(composition(complement(A),B),composition(complement(A),B)) = composition(complement(A),B),
inference(rw,[status(thm)],[eq_78,eq_69]) ).
cnf(eq_81,plain,
complement(complement(one)) = meet(one,one),
inference(cp,[status(thm)],[eq_63,eq_3]) ).
cnf(eq_82,plain,
meet(complement(one),meet(one,one)) = zero,
inference(cp,[status(thm)],[eq_63,eq_28]) ).
cnf(eq_83,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_64]),eq_69]) ).
cnf(eq_84,plain,
join(composition(A,complement(converse(A))),complement(one)) = complement(one),
eq_77 ).
cnf(eq_85,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_65,eq_83]) ).
cnf(eq_86,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_65]),eq_65]) ).
cnf(eq_87,plain,
top = join(zero,complement(zero)),
inference(rw,[status(thm)],[eq_60,eq_86]) ).
cnf(eq_88,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_87]),eq_83]),eq_67]) ).
cnf(eq_89,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_86,eq_1]) ).
cnf(eq_90,plain,
join(meet(complement(B),A),meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_52]) ).
cnf(eq_91,plain,
join(zero,meet(one,meet(one,one))) = one,
inference(cp,[status(thm)],[eq_81,eq_57]) ).
cnf(eq_92,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_83,eq_3]) ).
cnf(eq_93,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_89 ).
cnf(eq_94,plain,
join(meet(complement(A),B),meet(A,B)) = B,
inference(cp,[status(thm)],[eq_54,eq_90]) ).
cnf(eq_95,plain,
A = join(meet(B,A),meet(complement(B),A)),
inference(rw,[status(thm)],[eq_94,eq_0]) ).
cnf(eq_96,plain,
join(zero,A) = join(zero,meet(A,A)),
inference(cp,[status(thm)],[eq_58,eq_93]) ).
cnf(eq_97,plain,
join(zero,meet(meet(one,one),one)) = one,
inference(cp,[status(thm)],[eq_54,eq_91]) ).
cnf(eq_98,plain,
complement(join(composition(A,complement(converse(A))),join(complement(one),complement(complement(one))))) = zero,
inference(cp,[status(thm)],[eq_84,eq_46]) ).
cnf(eq_99,plain,
complement(join(meet(one,one),complement(one))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_92]),eq_0]),eq_40]),eq_84]) ).
cnf(eq_100,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_96,eq_58]) ).
cnf(eq_101,plain,
zero = meet(complement(one),complement(complement(one))),
inference(rw,[status(thm)],[eq_82,eq_92]) ).
cnf(eq_102,plain,
complement(complement(one)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_101]),eq_92]),eq_90]) ).
cnf(eq_103,plain,
join(complement(complement(A)),meet(complement(A),A)) = A,
inference(cp,[status(thm)],[eq_92,eq_95]) ).
cnf(eq_104,plain,
A = join(complement(complement(A)),meet(complement(A),A)),
eq_103 ).
cnf(eq_105,plain,
zero = complement(join(one,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_92]),eq_102]) ).
cnf(eq_106,plain,
A = join(complement(join(one,complement(one))),A),
inference(rw,[status(thm)],[eq_100,eq_105]) ).
cnf(eq_107,plain,
join(composition(one,x101),composition(complement(complement(one)),x101)) = composition(complement(complement(one)),x101),
inference(cp,[status(thm)],[eq_102,eq_80]) ).
cnf(eq_108,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_107,eq_69]),eq_102]),eq_69]),eq_102]),eq_69]) ).
cnf(eq_109,plain,
join(A,x102) = join(A,join(A,x102)),
inference(cp,[status(thm)],[eq_108,eq_1]) ).
cnf(eq_110,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_108,eq_36]) ).
cnf(eq_111,plain,
join(A,B) = join(B,join(A,B)),
eq_110 ).
cnf(eq_112,plain,
join(A,B) = join(A,join(A,B)),
eq_109 ).
cnf(eq_113,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_105]),eq_106]) ).
cnf(eq_114,plain,
join(meet(A,B),A) = join(meet(A,B),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_18,eq_112]) ).
cnf(eq_115,plain,
join(complement(join(complement(A),B)),A) = join(meet(B,A),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_52,eq_111]) ).
cnf(eq_116,plain,
A = join(A,meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_114,eq_0]),eq_18]) ).
cnf(eq_117,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_115,eq_0]),eq_52]) ).
cnf(eq_118,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_100]),eq_100]) ).
cnf(eq_119,plain,
join(A,converse(complement(converse(A)))) = converse(complement(zero)),
inference(rw,[status(thm)],[eq_53,eq_118]) ).
cnf(eq_120,plain,
A = join(A,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_104,eq_113]),eq_70]) ).
cnf(eq_121,plain,
A = meet(complement(zero),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_100]),eq_113]),eq_118]) ).
cnf(eq_122,plain,
meet(join(complement(complement(A)),complement(x101)),join(A,x101)) = complement(complement(A)),
inference(cp,[status(thm)],[eq_113,eq_26]) ).
cnf(eq_123,plain,
A = meet(join(A,complement(B)),join(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_122,eq_113]),eq_113]) ).
cnf(eq_124,plain,
join(complement(zero),A) = complement(zero),
inference(cp,[status(thm)],[eq_121,eq_116]) ).
cnf(eq_125,plain,
join(converse(A),converse(complement(A))) = converse(complement(zero)),
inference(rw,[status(thm)],[eq_62,eq_118]) ).
cnf(eq_126,plain,
join(complement(join(complement(x100),complement(complement(A)))),complement(join(A,x100))) = complement(A),
inference(cp,[status(thm)],[eq_113,eq_39]) ).
cnf(eq_127,plain,
join(complement(join(complement(A),B)),complement(join(B,A))) = complement(B),
inference(rw,[status(thm)],[eq_126,eq_113]) ).
cnf(eq_128,plain,
complement(zero) = converse(complement(zero)),
inference(cp,[status(thm)],[eq_124,eq_119]) ).
cnf(eq_129,plain,
converse(top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_14]),eq_113]),eq_14]),eq_113]) ).
cnf(eq_130,plain,
A = join(A,complement(top)),
inference(rw,[status(thm)],[eq_120,eq_14]) ).
cnf(eq_131,plain,
join(A,converse(complement(converse(A)))) = top,
inference(rw,[status(thm)],[eq_53,eq_129]) ).
cnf(eq_132,plain,
join(converse(A),converse(complement(A))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_14]),eq_113]),eq_129]) ).
cnf(eq_133,plain,
A = meet(A,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_100]),eq_113]) ).
cnf(eq_134,plain,
meet(join(A,complement(join(B,complement(join(B,A))))),top) = A,
inference(cp,[status(thm)],[eq_50,eq_123]) ).
cnf(eq_135,plain,
composition(A,join(x101,converse(x102))) = join(composition(converse(converse(A)),x101),composition(converse(converse(A)),converse(x102))),
inference(cp,[status(thm)],[eq_7,eq_61]) ).
cnf(eq_136,plain,
A = join(A,complement(join(B,complement(join(B,A))))),
inference(rw,[status(thm)],[eq_134,eq_133]) ).
cnf(eq_137,plain,
join(composition(A,B),composition(A,converse(C))) = composition(A,join(B,converse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_135,eq_7]),eq_7]) ).
cnf(eq_138,plain,
join(x100,complement(join(B,complement(join(complement(complement(x100)),B))))) = x100,
inference(cp,[status(thm)],[eq_79,eq_117]) ).
cnf(eq_139,plain,
A = join(A,complement(join(B,complement(join(A,B))))),
inference(rw,[status(thm)],[eq_138,eq_113]) ).
cnf(eq_140,plain,
join(converse(A),complement(join(converse(complement(A)),complement(top)))) = converse(A),
inference(cp,[status(thm)],[eq_132,eq_139]) ).
cnf(eq_141,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(rw,[status(thm)],[eq_140,eq_130]) ).
cnf(eq_142,plain,
join(converse(complement(converse(A))),complement(join(A,complement(top)))) = converse(complement(converse(A))),
inference(cp,[status(thm)],[eq_131,eq_136]) ).
cnf(eq_143,plain,
converse(converse(A)) = join(converse(converse(A)),converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_141,eq_8]) ).
cnf(eq_144,plain,
A = join(A,converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_143,eq_7]),eq_7]) ).
cnf(eq_145,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(cp,[status(thm)],[eq_113,eq_144]) ).
cnf(eq_146,plain,
complement(A) = converse(complement(converse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_118]),eq_113]),eq_120]),eq_0]),eq_145]) ).
cnf(eq_147,plain,
converse(complement(A)) = complement(converse(A)),
inference(cp,[status(thm)],[eq_146,eq_7]) ).
cnf(eq_148,plain,
complement(converse(A)) = converse(complement(A)),
eq_147 ).
cnf(eq_149,plain,
join(composition(x100,x101),composition(x100,A)) = composition(x100,join(x101,converse(converse(A)))),
inference(cp,[status(thm)],[eq_7,eq_137]) ).
cnf(eq_150,plain,
join(composition(A,B),composition(A,C)) = composition(A,join(B,C)),
inference(rw,[status(thm)],[eq_149,eq_7]) ).
cnf(eq_151,plain,
composition(x100,A) = join(composition(x100,A),composition(x100,complement(join(complement(A),B)))),
inference(cp,[status(thm)],[eq_117,eq_150]) ).
cnf(eq_152,plain,
join(composition(A,B),composition(A,complement(join(complement(B),C)))) = composition(A,B),
eq_151 ).
cnf(eq_153,negated_conjecture,
join(composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3),composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk3),join(complement(join(complement(A),sk2)),complement(join(sk2,A))))))) != composition(complement(join(complement(sk1),complement(converse(sk2)))),sk3),
inference(cp,[status(thm)],[eq_127,eq_73]) ).
cnf(eq_154,negated_conjecture,
composition(complement(join(converse(complement(sk2)),complement(sk1))),sk3) != composition(complement(join(converse(complement(sk2)),complement(sk1))),sk3),
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)],[eq_153,eq_148]),eq_148]),eq_0]),eq_0]),eq_0]),eq_0]),eq_152]),eq_148]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL024-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n022.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 05:49:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 46.84/47.09 % SZS status Unsatisfiable
% 46.84/47.09 % SZS output start CNFRefutation for /tmp/MaedMax_28402
% See solution above
% 46.84/47.09
%------------------------------------------------------------------------------