TSTP Solution File: REL050-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL050-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n028.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 07:11:43 EDT 2022
% Result : Unsatisfiable 36.60s 36.79s
% Output : CNFRefutation 36.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 14
% Syntax : Number of clauses : 161 ( 161 unt; 0 nHn; 43 RR)
% Number of literals : 161 ( 160 equ; 13 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 165 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_13948') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_13948') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_13948') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_13948') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_13948') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_13948') ).
cnf(eq_6,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_13948') ).
cnf(eq_7,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_13948') ).
cnf(eq_8,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_13948') ).
cnf(eq_9,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_13948') ).
cnf(eq_10,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_13948') ).
cnf(eq_11,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_13948') ).
cnf(eq_12,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_13948') ).
cnf(eq_13,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/tmp/MaedMax_13948') ).
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(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_16,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_17,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_18,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_19,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_20,plain,
composition(A,x102) = composition(A,composition(one,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_21,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_22,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_23,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_24,plain,
composition(top,x102) = join(composition(A,x102),composition(complement(A),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_25,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_19 ).
cnf(eq_26,plain,
composition(converse(one),converse(A)) = converse(A),
eq_21 ).
cnf(eq_27,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_16 ).
cnf(eq_28,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_22 ).
cnf(eq_29,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_30,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_15 ).
cnf(eq_31,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_17 ).
cnf(eq_32,plain,
composition(A,B) = composition(A,composition(one,B)),
eq_20 ).
cnf(eq_33,plain,
complement(join(zero,complement(x101))) = meet(top,x101),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_34,plain,
meet(top,zero) = zero,
inference(cp,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_35,plain,
join(join(complement(B),x101),B) = join(top,x101),
inference(cp,[status(thm)],[eq_0,eq_30]) ).
cnf(eq_36,plain,
join(A,join(complement(A),B)) = join(x101,join(complement(x101),B)),
inference(cp,[status(thm)],[eq_30,eq_30]) ).
cnf(eq_37,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_26]) ).
cnf(eq_38,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_25]) ).
cnf(eq_39,plain,
join(complement(A),join(B,A)) = join(top,B),
inference(rw,[status(thm)],[eq_35,eq_1]) ).
cnf(eq_40,plain,
join(A,join(complement(A),B)) = join(C,join(complement(C),B)),
eq_36 ).
cnf(eq_41,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_37,eq_7]) ).
cnf(eq_42,plain,
A = join(meet(B,A),complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_43,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_38 ).
cnf(eq_44,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_23,eq_3]) ).
cnf(eq_45,plain,
complement(join(zero,complement(A))) = meet(top,A),
eq_33 ).
cnf(eq_46,negated_conjecture,
composition(complement(composition(sk1,composition(one,top))),top) != complement(composition(sk1,top)),
inference(cp,[status(thm)],[eq_32,eq_13]) ).
cnf(eq_47,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,composition(one,top))),top),
eq_46 ).
cnf(eq_48,plain,
A = join(zero,meet(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_14]),eq_3]) ).
cnf(eq_49,plain,
A = join(complement(join(complement(A),complement(A))),complement(top)),
inference(cp,[status(thm)],[eq_27,eq_0]) ).
cnf(eq_50,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_14,eq_27]) ).
cnf(eq_51,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_14]),eq_14]) ).
cnf(eq_52,plain,
join(composition(A,B),composition(complement(A),B)) = composition(top,B),
eq_24 ).
cnf(eq_53,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_41,eq_5]) ).
cnf(eq_54,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_51,eq_14]) ).
cnf(eq_55,plain,
complement(join(zero,complement(zero))) = zero,
inference(cp,[status(thm)],[eq_45,eq_34]) ).
cnf(eq_56,plain,
A = join(meet(A,A),complement(top)),
inference(rw,[status(thm)],[eq_49,eq_3]) ).
cnf(eq_57,negated_conjecture,
complement(composition(sk1,join(zero,complement(join(zero,zero))))) != composition(complement(composition(sk1,composition(one,top))),top),
inference(cp,[status(thm)],[eq_51,eq_47]) ).
cnf(eq_58,negated_conjecture,
complement(composition(sk1,join(meet(top,top),complement(top)))) != composition(complement(composition(sk1,top)),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)],[eq_57,eq_14]),eq_14]),eq_14]),eq_3]),eq_0]),eq_32]) ).
cnf(eq_59,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_41,eq_53]) ).
cnf(eq_60,negated_conjecture,
complement(composition(sk1,join(complement(join(zero,complement(join(zero,zero)))),meet(join(zero,complement(join(zero,zero))),join(zero,complement(join(zero,zero))))))) != composition(complement(composition(sk1,join(zero,complement(join(zero,zero))))),join(zero,complement(join(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)],[eq_58,eq_51]),eq_51]),eq_51]),eq_0]),eq_51]),eq_51]) ).
cnf(eq_61,negated_conjecture,
complement(composition(sk1,join(complement(join(zero,complement(join(zero,zero)))),complement(join(complement(join(zero,complement(join(zero,zero)))),complement(join(zero,complement(join(zero,zero))))))))) != composition(complement(composition(sk1,join(zero,complement(join(zero,zero))))),join(zero,complement(join(zero,zero)))),
inference(rw,[status(thm)],[eq_60,eq_3]) ).
cnf(eq_62,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_59,eq_10]) ).
cnf(eq_63,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_53]),eq_59]) ).
cnf(eq_64,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_54,eq_63]) ).
cnf(eq_65,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_54]),eq_54]) ).
cnf(eq_66,negated_conjecture,
complement(composition(sk1,join(complement(join(zero,complement(join(zero,zero)))),complement(complement(join(zero,complement(join(zero,zero)))))))) != composition(complement(composition(sk1,join(zero,complement(join(zero,zero))))),join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_63,eq_61]) ).
cnf(eq_67,negated_conjecture,
complement(composition(sk1,join(zero,complement(zero)))) != composition(complement(composition(sk1,join(zero,complement(join(zero,zero))))),join(zero,complement(join(zero,zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_54]),eq_54]) ).
cnf(eq_68,plain,
top = join(zero,complement(zero)),
inference(rw,[status(thm)],[eq_51,eq_65]) ).
cnf(eq_69,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_68]),eq_63]),eq_55]) ).
cnf(eq_70,negated_conjecture,
complement(composition(sk1,join(zero,complement(zero)))) != composition(complement(composition(sk1,join(zero,complement(zero)))),join(zero,complement(zero))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_65]),eq_65]) ).
cnf(eq_71,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_65,eq_1]) ).
cnf(eq_72,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_71 ).
cnf(eq_73,plain,
join(meet(complement(B),A),meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_42]) ).
cnf(eq_74,plain,
join(zero,A) = join(zero,meet(A,A)),
inference(cp,[status(thm)],[eq_48,eq_72]) ).
cnf(eq_75,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_74,eq_48]) ).
cnf(eq_76,plain,
converse(A) = join(converse(zero),converse(A)),
inference(cp,[status(thm)],[eq_75,eq_8]) ).
cnf(eq_77,plain,
A = complement(complement(A)),
inference(cp,[status(thm)],[eq_69,eq_75]) ).
cnf(eq_78,plain,
join(converse(zero),converse(A)) = converse(A),
eq_76 ).
cnf(eq_79,plain,
join(complement(complement(A)),A) = complement(complement(A)),
inference(cp,[status(thm)],[eq_77,eq_63]) ).
cnf(eq_80,plain,
complement(join(A,complement(x101))) = meet(complement(A),x101),
inference(cp,[status(thm)],[eq_77,eq_3]) ).
cnf(eq_81,plain,
complement(join(complement(x100),A)) = meet(x100,complement(A)),
inference(cp,[status(thm)],[eq_77,eq_3]) ).
cnf(eq_82,plain,
complement(join(A,complement(B))) = meet(complement(A),B),
eq_80 ).
cnf(eq_83,plain,
complement(join(complement(A),B)) = meet(A,complement(B)),
eq_81 ).
cnf(eq_84,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_77]),eq_77]) ).
cnf(eq_85,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_75]),eq_75]) ).
cnf(eq_86,plain,
complement(meet(complement(A),B)) = join(A,complement(B)),
inference(cp,[status(thm)],[eq_82,eq_77]) ).
cnf(eq_87,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_84,eq_28]) ).
cnf(eq_88,plain,
complement(complement(B)) = meet(complement(composition(converse(A),complement(composition(A,B)))),B),
inference(cp,[status(thm)],[eq_10,eq_82]) ).
cnf(eq_89,plain,
join(A,complement(B)) = complement(meet(complement(A),B)),
eq_86 ).
cnf(eq_90,plain,
A = meet(complement(composition(converse(B),complement(composition(B,A)))),A),
inference(rw,[status(thm)],[eq_88,eq_77]) ).
cnf(eq_91,plain,
join(A,B) = join(B,join(A,B)),
eq_87 ).
cnf(eq_92,plain,
join(converse(zero),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_78]) ).
cnf(eq_93,plain,
A = join(converse(zero),A),
inference(rw,[status(thm)],[eq_92,eq_7]) ).
cnf(eq_94,plain,
join(A,join(complement(A),B)) = join(complement(B),B),
inference(cp,[status(thm)],[eq_40,eq_91]) ).
cnf(eq_95,plain,
join(A,join(complement(A),B)) = join(B,complement(B)),
inference(rw,[status(thm)],[eq_94,eq_0]) ).
cnf(eq_96,plain,
join(complement(join(complement(A),B)),A) = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_31,eq_91]) ).
cnf(eq_97,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_0]),eq_31]) ).
cnf(eq_98,plain,
join(complement(A),complement(join(A,x101))) = complement(A),
inference(cp,[status(thm)],[eq_77,eq_97]) ).
cnf(eq_99,plain,
join(complement(A),complement(join(A,B))) = complement(A),
eq_98 ).
cnf(eq_100,plain,
join(complement(B),complement(join(A,B))) = complement(B),
inference(cp,[status(thm)],[eq_0,eq_99]) ).
cnf(eq_101,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_100 ).
cnf(eq_102,plain,
A = join(complement(top),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_77]),eq_84]),eq_77]) ).
cnf(eq_103,plain,
A = join(converse(complement(top)),A),
inference(rw,[status(thm)],[eq_93,eq_14]) ).
cnf(eq_104,plain,
A = join(A,complement(top)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_3]),eq_84]),eq_77]) ).
cnf(eq_105,plain,
join(top,A) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_30]),eq_11]) ).
cnf(eq_106,plain,
join(A,composition(complement(one),A)) = composition(top,A),
inference(cp,[status(thm)],[eq_59,eq_52]) ).
cnf(eq_107,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_43,eq_105]) ).
cnf(eq_108,plain,
join(A,converse(complement(converse(A)))) = top,
inference(rw,[status(thm)],[eq_43,eq_107]) ).
cnf(eq_109,plain,
join(complement(A),join(B,A)) = top,
inference(rw,[status(thm)],[eq_39,eq_105]) ).
cnf(eq_110,plain,
complement(converse(complement(top))) = top,
inference(cp,[status(thm)],[eq_103,eq_11]) ).
cnf(eq_111,plain,
join(complement(join(complement(converse(complement(converse(complement(x101))))),complement(x101))),complement(top)) = x101,
inference(cp,[status(thm)],[eq_108,eq_31]) ).
cnf(eq_112,plain,
A = complement(join(complement(A),complement(converse(complement(converse(complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_111,eq_0]),eq_104]) ).
cnf(eq_113,plain,
complement(top) = converse(complement(top)),
inference(cp,[status(thm)],[eq_110,eq_77]) ).
cnf(eq_114,plain,
join(x100,complement(composition(top,complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_106,eq_97]) ).
cnf(eq_115,plain,
composition(top,top) = top,
inference(cp,[status(thm)],[eq_106,eq_105]) ).
cnf(eq_116,plain,
A = join(A,complement(composition(top,complement(A)))),
eq_114 ).
cnf(eq_117,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_77,eq_112]) ).
cnf(eq_118,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_117,eq_77]) ).
cnf(eq_119,plain,
join(complement(complement(converse(complement(converse(A))))),complement(A)) = complement(complement(converse(complement(converse(A))))),
inference(cp,[status(thm)],[eq_118,eq_101]) ).
cnf(eq_120,plain,
complement(complement(A)) = join(A,complement(converse(complement(converse(A))))),
inference(cp,[status(thm)],[eq_118,eq_77]) ).
cnf(eq_121,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_120,eq_77]) ).
cnf(eq_122,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_119,eq_77]),eq_0]),eq_77]) ).
cnf(eq_123,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_7,eq_121]) ).
cnf(eq_124,plain,
join(converse(complement(A)),complement(converse(A))) = converse(complement(A)),
inference(cp,[status(thm)],[eq_77,eq_123]) ).
cnf(eq_125,plain,
converse(converse(A)) = join(converse(converse(A)),converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_123,eq_8]) ).
cnf(eq_126,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_124,eq_0]) ).
cnf(eq_127,plain,
A = join(A,converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_7]),eq_7]) ).
cnf(eq_128,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(cp,[status(thm)],[eq_77,eq_127]) ).
cnf(eq_129,plain,
join(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_128]) ).
cnf(eq_130,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[eq_129,eq_126]) ).
cnf(eq_131,plain,
complement(A) = converse(complement(converse(A))),
inference(rw,[status(thm)],[eq_122,eq_128]) ).
cnf(eq_132,negated_conjecture,
composition(converse(complement(converse(composition(sk1,join(zero,complement(zero)))))),join(zero,complement(zero))) != complement(composition(sk1,join(zero,complement(zero)))),
inference(cp,[status(thm)],[eq_131,eq_70]) ).
cnf(eq_133,negated_conjecture,
complement(composition(sk1,top)) != composition(converse(complement(join(converse(sk1),composition(complement(one),converse(sk1))))),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_132,eq_14]),eq_14]),eq_14]),eq_14]),eq_77]),eq_77]),eq_102]),eq_102]),eq_9]),eq_107]),eq_106]),eq_14]),eq_14]),eq_77]),eq_102]) ).
cnf(eq_134,plain,
composition(top,x102) = composition(top,composition(top,x102)),
inference(cp,[status(thm)],[eq_115,eq_4]) ).
cnf(eq_135,plain,
composition(top,A) = composition(top,composition(top,A)),
eq_134 ).
cnf(eq_136,plain,
complement(top) = meet(A,complement(join(B,A))),
inference(cp,[status(thm)],[eq_109,eq_83]) ).
cnf(eq_137,plain,
complement(complement(x100)) = meet(x100,complement(complement(composition(top,complement(complement(x100)))))),
inference(cp,[status(thm)],[eq_116,eq_83]) ).
cnf(eq_138,plain,
A = meet(A,composition(top,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_77]),eq_77]),eq_77]) ).
cnf(eq_139,plain,
join(x100,A) = complement(meet(complement(x100),complement(A))),
inference(cp,[status(thm)],[eq_77,eq_89]) ).
cnf(eq_140,plain,
A = meet(composition(top,A),A),
inference(cp,[status(thm)],[eq_138,eq_44]) ).
cnf(eq_141,plain,
join(A,B) = complement(meet(complement(A),complement(B))),
eq_139 ).
cnf(eq_142,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_113,eq_14]),eq_14]) ).
cnf(eq_143,plain,
meet(A,complement(join(B,A))) = zero,
inference(rw,[status(thm)],[eq_136,eq_14]) ).
cnf(eq_144,plain,
meet(composition(complement(zero),x100),x100) = x100,
inference(cp,[status(thm)],[eq_85,eq_140]) ).
cnf(eq_145,plain,
A = meet(composition(complement(zero),A),A),
eq_144 ).
cnf(eq_146,plain,
composition(complement(zero),A) = composition(complement(zero),composition(complement(zero),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_135,eq_85]),eq_85]),eq_85]) ).
cnf(eq_147,plain,
meet(meet(A,B),complement(A)) = zero,
inference(cp,[status(thm)],[eq_73,eq_143]) ).
cnf(eq_148,plain,
meet(A,complement(composition(complement(zero),A))) = zero,
inference(cp,[status(thm)],[eq_145,eq_147]) ).
cnf(eq_149,plain,
join(zero,meet(complement(composition(complement(zero),complement(x100))),x100)) = complement(composition(complement(zero),complement(x100))),
inference(cp,[status(thm)],[eq_148,eq_73]) ).
cnf(eq_150,plain,
complement(composition(complement(zero),complement(A))) = meet(complement(composition(complement(zero),complement(A))),A),
inference(rw,[status(thm)],[eq_149,eq_75]) ).
cnf(eq_151,plain,
complement(meet(complement(A),complement(composition(complement(one),A)))) = composition(complement(zero),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_141]),eq_85]) ).
cnf(eq_152,plain,
meet(complement(composition(converse(complement(zero)),complement(composition(complement(zero),A)))),composition(complement(zero),A)) = composition(complement(zero),A),
inference(cp,[status(thm)],[eq_146,eq_90]) ).
cnf(eq_153,plain,
complement(composition(complement(zero),complement(composition(complement(zero),A)))) = composition(complement(zero),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_152,eq_130]),eq_142]),eq_150]) ).
cnf(eq_154,plain,
complement(composition(complement(zero),A)) = composition(complement(zero),complement(composition(complement(zero),A))),
inference(cp,[status(thm)],[eq_153,eq_77]) ).
cnf(eq_155,plain,
converse(complement(composition(complement(zero),A))) = composition(converse(complement(composition(complement(zero),A))),converse(complement(zero))),
inference(cp,[status(thm)],[eq_154,eq_9]) ).
cnf(eq_156,plain,
complement(composition(converse(A),complement(zero))) = composition(complement(composition(converse(A),complement(zero))),complement(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)],[eq_155,eq_130]),eq_9]),eq_130]),eq_142]),eq_130]),eq_130]),eq_9]),eq_142]),eq_130]),eq_142]) ).
cnf(eq_157,plain,
composition(complement(composition(A,complement(zero))),complement(zero)) = complement(composition(converse(converse(A)),complement(zero))),
inference(cp,[status(thm)],[eq_7,eq_156]) ).
cnf(eq_158,plain,
complement(composition(A,complement(zero))) = composition(complement(composition(A,complement(zero))),complement(zero)),
inference(rw,[status(thm)],[eq_157,eq_7]) ).
cnf(eq_159,negated_conjecture,
complement(composition(sk1,complement(zero))) != complement(composition(sk1,complement(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)],[eq_133,eq_85]),eq_141]),eq_85]),eq_151]),eq_130]),eq_9]),eq_7]),eq_130]),eq_142]),eq_158]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL050-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 05:57:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 36.60/36.79 % SZS status Unsatisfiable
% 36.60/36.79 % SZS output start CNFRefutation for /tmp/MaedMax_13948
% See solution above
% 36.60/36.79
%------------------------------------------------------------------------------