TSTP Solution File: REL050-3 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL050-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 07:11:44 EDT 2022
% Result : Unsatisfiable 134.82s 135.05s
% Output : CNFRefutation 134.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of clauses : 131 ( 131 unt; 0 nHn; 34 RR)
% Number of literals : 131 ( 130 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 132 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_23739') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_23739') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_23739') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_23739') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_23739') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_23739') ).
cnf(eq_6,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_23739') ).
cnf(eq_7,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_23739') ).
cnf(eq_8,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_23739') ).
cnf(eq_9,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_23739') ).
cnf(eq_10,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_23739') ).
cnf(eq_11,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_23739') ).
cnf(eq_12,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_23739') ).
cnf(eq_13,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/tmp/MaedMax_23739') ).
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(join(A,B),x102) = join(B,join(A,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_17,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_18,plain,
composition(A,x102) = composition(A,composition(one,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_19,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_20,plain,
join(x100,top) = join(A,join(x100,complement(A))),
inference(cp,[status(thm)],[eq_11,eq_26]) ).
cnf(eq_21,plain,
composition(converse(one),converse(A)) = converse(A),
eq_19 ).
cnf(eq_22,plain,
join(A,join(B,complement(A))) = join(B,top),
eq_20 ).
cnf(eq_23,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_17 ).
cnf(eq_24,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_15 ).
cnf(eq_25,plain,
composition(A,B) = composition(A,composition(one,B)),
eq_18 ).
cnf(eq_26,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_27,plain,
join(top,zero) = top,
inference(cp,[status(thm)],[eq_14,eq_11]) ).
cnf(eq_28,plain,
join(composition(converse(x100),complement(composition(x100,top))),zero) = complement(top),
inference(cp,[status(thm)],[eq_14,eq_10]) ).
cnf(eq_29,plain,
join(join(complement(B),x101),B) = join(top,x101),
inference(cp,[status(thm)],[eq_0,eq_24]) ).
cnf(eq_30,plain,
join(x100,top) = join(top,complement(complement(x100))),
inference(cp,[status(thm)],[eq_11,eq_24]) ).
cnf(eq_31,plain,
join(x100,join(A,complement(x100))) = join(top,A),
inference(cp,[status(thm)],[eq_0,eq_24]) ).
cnf(eq_32,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_21]) ).
cnf(eq_33,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_23]) ).
cnf(eq_34,plain,
join(complement(A),join(B,A)) = join(top,B),
inference(rw,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_35,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_32,eq_7]) ).
cnf(eq_36,plain,
join(A,top) = join(top,complement(complement(A))),
eq_30 ).
cnf(eq_37,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_33 ).
cnf(eq_38,negated_conjecture,
composition(complement(composition(sk1,composition(one,top))),top) != complement(composition(sk1,top)),
inference(cp,[status(thm)],[eq_25,eq_13]) ).
cnf(eq_39,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,composition(one,top))),top),
eq_38 ).
cnf(eq_40,plain,
composition(one,x101) = composition(converse(one),x101),
inference(cp,[status(thm)],[eq_35,eq_25]) ).
cnf(eq_41,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_35,eq_5]) ).
cnf(eq_42,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(cp,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_43,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_40,eq_35]) ).
cnf(eq_44,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_0]),eq_14]) ).
cnf(eq_45,plain,
join(converse(A),converse(complement(A))) = converse(top),
eq_42 ).
cnf(eq_46,plain,
join(A,top) = join(top,A),
inference(rw,[status(thm)],[eq_31,eq_22]) ).
cnf(eq_47,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_43,eq_10]) ).
cnf(eq_48,plain,
join(one,converse(complement(one))) = converse(top),
inference(cp,[status(thm)],[eq_41,eq_45]) ).
cnf(eq_49,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[eq_47,eq_35]) ).
cnf(eq_50,plain,
join(complement(complement(A)),complement(A)) = join(top,complement(A)),
inference(cp,[status(thm)],[eq_49,eq_34]) ).
cnf(eq_51,plain,
join(zero,complement(top)) = complement(top),
inference(cp,[status(thm)],[eq_14,eq_49]) ).
cnf(eq_52,plain,
join(complement(complement(A)),complement(join(complement(A),A))) = A,
inference(cp,[status(thm)],[eq_49,eq_2]) ).
cnf(eq_53,plain,
join(complement(join(complement(A),complement(join(B,A)))),complement(join(top,B))) = A,
inference(cp,[status(thm)],[eq_34,eq_2]) ).
cnf(eq_54,plain,
join(complement(join(complement(x100),complement(converse(complement(converse(complement(x100))))))),complement(converse(top))) = x100,
inference(cp,[status(thm)],[eq_37,eq_2]) ).
cnf(eq_55,plain,
join(top,complement(A)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_0]),eq_11]) ).
cnf(eq_56,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_0]),eq_11]),eq_14]),eq_0]) ).
cnf(eq_57,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_14]),eq_14]) ).
cnf(eq_58,plain,
A = join(complement(top),complement(complement(A))),
inference(rw,[status(thm)],[eq_56,eq_14]) ).
cnf(eq_59,plain,
join(A,top) = top,
inference(cp,[status(thm)],[eq_36,eq_55]) ).
cnf(eq_60,plain,
join(top,A) = top,
inference(rw,[status(thm)],[eq_46,eq_59]) ).
cnf(eq_61,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_57,eq_1]) ).
cnf(eq_62,plain,
join(complement(complement(complement(A))),A) = join(top,zero),
inference(cp,[status(thm)],[eq_56,eq_34]) ).
cnf(eq_63,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_61 ).
cnf(eq_64,plain,
join(A,complement(complement(complement(A)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_0]),eq_27]) ).
cnf(eq_65,plain,
composition(top,x102) = join(composition(top,x102),composition(A,x102)),
inference(cp,[status(thm)],[eq_60,eq_6]) ).
cnf(eq_66,plain,
complement(complement(top)) = top,
inference(cp,[status(thm)],[eq_58,eq_64]) ).
cnf(eq_67,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_37,eq_60]) ).
cnf(eq_68,plain,
join(composition(top,A),composition(B,A)) = composition(top,A),
eq_65 ).
cnf(eq_69,plain,
join(A,converse(complement(converse(A)))) = top,
inference(rw,[status(thm)],[eq_37,eq_67]) ).
cnf(eq_70,plain,
join(one,converse(complement(one))) = top,
inference(rw,[status(thm)],[eq_48,eq_67]) ).
cnf(eq_71,plain,
complement(zero) = top,
inference(rw,[status(thm)],[eq_66,eq_14]) ).
cnf(eq_72,plain,
composition(top,x102) = join(composition(one,x102),composition(converse(complement(one)),x102)),
inference(cp,[status(thm)],[eq_70,eq_6]) ).
cnf(eq_73,plain,
join(zero,A) = join(zero,complement(complement(A))),
inference(cp,[status(thm)],[eq_56,eq_63]) ).
cnf(eq_74,plain,
join(zero,top) = join(zero,converse(complement(converse(zero)))),
inference(cp,[status(thm)],[eq_69,eq_63]) ).
cnf(eq_75,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_73,eq_56]) ).
cnf(eq_76,plain,
join(zero,converse(complement(converse(zero)))) = top,
inference(rw,[status(thm)],[eq_74,eq_59]) ).
cnf(eq_77,plain,
join(A,composition(converse(complement(one)),A)) = composition(top,A),
inference(rw,[status(thm)],[eq_72,eq_43]) ).
cnf(eq_78,negated_conjecture,
complement(composition(sk1,complement(zero))) != composition(complement(composition(sk1,composition(one,top))),top),
inference(cp,[status(thm)],[eq_71,eq_39]) ).
cnf(eq_79,negated_conjecture,
complement(composition(sk1,complement(zero))) != composition(complement(composition(sk1,top)),top),
inference(rw,[status(thm)],[eq_78,eq_43]) ).
cnf(eq_80,plain,
composition(converse(A),complement(composition(A,top))) = zero,
inference(rw,[status(thm)],[eq_44,eq_75]) ).
cnf(eq_81,plain,
converse(complement(converse(zero))) = top,
inference(rw,[status(thm)],[eq_76,eq_75]) ).
cnf(eq_82,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_56,eq_75]) ).
cnf(eq_83,plain,
A = complement(join(complement(A),complement(join(B,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_60]),eq_14]),eq_0]),eq_75]) ).
cnf(eq_84,plain,
A = complement(join(complement(A),complement(converse(complement(converse(complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_67]),eq_14]),eq_0]),eq_75]) ).
cnf(eq_85,plain,
join(complement(complement(A)),A) = complement(complement(A)),
inference(cp,[status(thm)],[eq_82,eq_49]) ).
cnf(eq_86,plain,
converse(zero) = composition(converse(complement(composition(A,top))),converse(converse(A))),
inference(cp,[status(thm)],[eq_80,eq_9]) ).
cnf(eq_87,plain,
converse(top) = complement(converse(zero)),
inference(cp,[status(thm)],[eq_81,eq_7]) ).
cnf(eq_88,plain,
complement(converse(zero)) = top,
inference(rw,[status(thm)],[eq_87,eq_67]) ).
cnf(eq_89,plain,
composition(converse(complement(composition(A,top))),A) = converse(zero),
inference(rw,[status(thm)],[eq_86,eq_7]) ).
cnf(eq_90,plain,
join(complement(join(complement(converse(zero)),complement(x101))),complement(join(top,x101))) = converse(zero),
inference(cp,[status(thm)],[eq_88,eq_2]) ).
cnf(eq_91,plain,
converse(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_90,eq_88]),eq_60]),eq_60]),eq_14]),eq_14]),eq_75]) ).
cnf(eq_92,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_82]),eq_82]) ).
cnf(eq_93,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_92,eq_26]) ).
cnf(eq_94,plain,
join(A,B) = join(B,join(A,B)),
eq_93 ).
cnf(eq_95,plain,
join(complement(join(complement(A),B)),A) = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_2,eq_94]) ).
cnf(eq_96,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_0]),eq_2]) ).
cnf(eq_97,plain,
complement(A) = join(complement(A),complement(join(B,A))),
inference(cp,[status(thm)],[eq_83,eq_82]) ).
cnf(eq_98,plain,
converse(A) = join(converse(A),converse(complement(join(complement(A),B)))),
inference(cp,[status(thm)],[eq_96,eq_8]) ).
cnf(eq_99,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_97 ).
cnf(eq_100,plain,
join(converse(A),converse(complement(join(complement(A),B)))) = converse(A),
eq_98 ).
cnf(eq_101,plain,
join(complement(complement(join(complement(A),B))),complement(A)) = complement(complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_2,eq_99]) ).
cnf(eq_102,plain,
join(A,complement(B)) = join(complement(B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_82]),eq_1]),eq_94]),eq_82]) ).
cnf(eq_103,plain,
composition(top,top) = top,
inference(cp,[status(thm)],[eq_77,eq_60]) ).
cnf(eq_104,plain,
join(composition(top,A),A) = composition(top,A),
inference(cp,[status(thm)],[eq_43,eq_68]) ).
cnf(eq_105,plain,
join(A,composition(top,A)) = composition(top,A),
inference(rw,[status(thm)],[eq_104,eq_0]) ).
cnf(eq_106,plain,
composition(top,x102) = composition(top,composition(top,x102)),
inference(cp,[status(thm)],[eq_103,eq_4]) ).
cnf(eq_107,plain,
composition(top,A) = composition(top,composition(top,A)),
eq_106 ).
cnf(eq_108,plain,
join(composition(converse(top),complement(composition(top,A))),complement(composition(top,A))) = complement(composition(top,A)),
inference(cp,[status(thm)],[eq_107,eq_10]) ).
cnf(eq_109,plain,
complement(composition(top,A)) = composition(top,complement(composition(top,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_108,eq_67]),eq_0]),eq_105]) ).
cnf(eq_110,plain,
converse(complement(composition(top,A))) = composition(converse(complement(composition(top,A))),converse(top)),
inference(cp,[status(thm)],[eq_109,eq_9]) ).
cnf(eq_111,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_82,eq_84]) ).
cnf(eq_112,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_111,eq_82]) ).
cnf(eq_113,plain,
complement(complement(join(A,complement(converse(complement(converse(A))))))) = A,
inference(cp,[status(thm)],[eq_112,eq_82]) ).
cnf(eq_114,plain,
join(A,converse(complement(join(complement(converse(A)),x101)))) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_100]) ).
cnf(eq_115,plain,
A = join(A,converse(complement(join(complement(converse(A)),B)))),
inference(rw,[status(thm)],[eq_114,eq_7]) ).
cnf(eq_116,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_113,eq_82]) ).
cnf(eq_117,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_7,eq_116]) ).
cnf(eq_118,plain,
join(x100,converse(complement(join(A,complement(converse(x100)))))) = x100,
inference(cp,[status(thm)],[eq_102,eq_115]) ).
cnf(eq_119,plain,
join(converse(complement(A)),complement(converse(A))) = converse(complement(A)),
inference(cp,[status(thm)],[eq_82,eq_117]) ).
cnf(eq_120,plain,
A = join(A,converse(complement(join(B,complement(converse(A)))))),
eq_118 ).
cnf(eq_121,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_119,eq_0]) ).
cnf(eq_122,plain,
join(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(cp,[status(thm)],[eq_116,eq_120]) ).
cnf(eq_123,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[eq_122,eq_121]) ).
cnf(eq_124,plain,
composition(complement(composition(top,converse(A))),A) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_123]),eq_9]),eq_67]),eq_91]) ).
cnf(eq_125,plain,
complement(composition(converse(A),top)) = composition(complement(composition(converse(A),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)],[inference(rw,[status(thm)],[eq_110,eq_123]),eq_9]),eq_67]),eq_123]),eq_67]),eq_9]),eq_67]) ).
cnf(eq_126,plain,
composition(complement(composition(A,top)),top) = complement(composition(converse(converse(A)),top)),
inference(cp,[status(thm)],[eq_7,eq_125]) ).
cnf(eq_127,plain,
complement(composition(A,top)) = composition(complement(composition(A,top)),top),
inference(rw,[status(thm)],[eq_126,eq_7]) ).
cnf(eq_128,negated_conjecture,
complement(composition(sk1,complement(composition(complement(composition(top,converse(A))),A)))) != composition(complement(composition(sk1,top)),top),
inference(cp,[status(thm)],[eq_124,eq_79]) ).
cnf(eq_129,negated_conjecture,
complement(composition(sk1,top)) != complement(composition(sk1,top)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_124]),eq_71]),eq_127]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL050-3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n017.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 : 300
% 0.11/0.33 % DateTime : Tue Jul 26 05:06:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 134.82/135.05 % SZS status Unsatisfiable
% 134.82/135.05 % SZS output start CNFRefutation for /tmp/MaedMax_23739
% See solution above
% 134.82/135.05
%------------------------------------------------------------------------------