TSTP Solution File: REL004-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL004-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 07:11:32 EDT 2022
% Result : Unsatisfiable 10.92s 11.10s
% Output : CNFRefutation 10.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of clauses : 122 ( 122 unt; 0 nHn; 23 RR)
% Number of literals : 122 ( 121 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 163 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_20222') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_20222') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_20222') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_20222') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_20222') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_20222') ).
cnf(eq_6,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_20222') ).
cnf(eq_7,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_20222') ).
cnf(eq_8,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_20222') ).
cnf(eq_9,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_20222') ).
cnf(eq_10,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_20222') ).
cnf(eq_11,negated_conjecture,
complement(converse(sk1)) != converse(complement(sk1)),
file('/tmp/MaedMax_20222') ).
cnf(eq_12,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_3]),eq_9]) ).
cnf(eq_13,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_14,plain,
join(complement(B),x102) = join(composition(converse(A),complement(composition(A,B))),join(complement(B),x102)),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_15,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_16,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_9,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(complement(A),complement(join(complement(join(complement(A),complement(B))),join(complement(A),B)))) = join(complement(A),complement(B)),
inference(cp,[status(thm)],[eq_2,eq_2]) ).
cnf(eq_19,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_20,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_21,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_22,plain,
join(converse(x100),A) = converse(join(x100,converse(A))),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_23,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_24,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
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,
converse(top) = join(converse(A),converse(complement(A))),
inference(cp,[status(thm)],[eq_9,eq_6]) ).
cnf(eq_27,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_21 ).
cnf(eq_28,plain,
composition(converse(one),converse(A)) = converse(A),
eq_23 ).
cnf(eq_29,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(rw,[status(thm)],[eq_15,eq_34]) ).
cnf(eq_30,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_25 ).
cnf(eq_31,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_32,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_16 ).
cnf(eq_33,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_19 ).
cnf(eq_34,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_35,plain,
join(complement(A),B) = join(complement(A),join(composition(converse(C),complement(composition(C,A))),B)),
inference(rw,[status(thm)],[eq_14,eq_34]) ).
cnf(eq_36,plain,
join(complement(A),complement(B)) = join(complement(A),complement(join(complement(A),join(B,complement(join(complement(A),complement(B))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_34]),eq_0]) ).
cnf(eq_37,plain,
join(converse(A),B) = converse(join(A,converse(B))),
eq_22 ).
cnf(eq_38,plain,
join(top,join(B,complement(join(A,join(complement(A),B))))) = top,
inference(cp,[status(thm)],[eq_32,eq_13]) ).
cnf(eq_39,plain,
join(B,join(A,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_40,plain,
join(x100,join(A,complement(x100))) = join(top,A),
inference(cp,[status(thm)],[eq_0,eq_32]) ).
cnf(eq_41,plain,
join(A,join(complement(A),B)) = join(x101,join(complement(x101),B)),
inference(cp,[status(thm)],[eq_32,eq_32]) ).
cnf(eq_42,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_28]) ).
cnf(eq_43,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_9,eq_27]) ).
cnf(eq_44,plain,
join(A,join(B,complement(join(B,A)))) = top,
eq_39 ).
cnf(eq_45,plain,
join(A,join(complement(A),B)) = join(C,join(complement(C),B)),
eq_41 ).
cnf(eq_46,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_42,eq_5]) ).
cnf(eq_47,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_43 ).
cnf(eq_48,plain,
join(top,join(A,complement(join(B,join(complement(B),A))))) = top,
eq_38 ).
cnf(eq_49,plain,
join(A,join(B,complement(A))) = join(top,B),
eq_40 ).
cnf(eq_50,plain,
join(converse(A),converse(complement(A))) = converse(top),
eq_26 ).
cnf(eq_51,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_46,eq_4]) ).
cnf(eq_52,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_46,eq_51]) ).
cnf(eq_53,plain,
join(complement(A),join(composition(converse(one),complement(A)),x102)) = join(complement(A),x102),
inference(cp,[status(thm)],[eq_52,eq_35]) ).
cnf(eq_54,plain,
join(complement(join(complement(B),A)),A) = join(B,complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_33,eq_29]) ).
cnf(eq_55,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_52,eq_8]) ).
cnf(eq_56,plain,
join(A,complement(join(complement(B),A))) = join(B,complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_54,eq_0]) ).
cnf(eq_57,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_51]),eq_52]) ).
cnf(eq_58,plain,
join(complement(A),B) = join(complement(A),join(complement(A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_51]),eq_52]) ).
cnf(eq_59,plain,
join(complement(join(complement(x100),x101)),complement(join(complement(x100),complement(x101)))) = join(x100,complement(join(complement(x100),complement(x101)))),
inference(cp,[status(thm)],[eq_57,eq_29]) ).
cnf(eq_60,plain,
join(complement(join(complement(complement(A)),complement(A))),complement(complement(A))) = A,
inference(cp,[status(thm)],[eq_57,eq_33]) ).
cnf(eq_61,plain,
join(x100,complement(A)) = join(complement(A),join(x100,complement(A))),
inference(cp,[status(thm)],[eq_57,eq_30]) ).
cnf(eq_62,plain,
A = join(complement(complement(A)),complement(join(complement(A),complement(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_0]),eq_0]) ).
cnf(eq_63,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_59,eq_24]) ).
cnf(eq_64,plain,
join(A,complement(B)) = join(complement(B),join(A,complement(B))),
eq_61 ).
cnf(eq_65,plain,
join(complement(B),complement(join(complement(B),B))) = join(complement(B),complement(B)),
inference(cp,[status(thm)],[eq_63,eq_36]) ).
cnf(eq_66,plain,
join(complement(join(complement(x100),complement(x101))),complement(join(complement(x100),x101))) = join(x100,complement(join(complement(x100),x101))),
inference(cp,[status(thm)],[eq_64,eq_29]) ).
cnf(eq_67,plain,
join(A,complement(complement(A))) = A,
inference(cp,[status(thm)],[eq_57,eq_63]) ).
cnf(eq_68,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_66,eq_2]) ).
cnf(eq_69,plain,
join(complement(A),complement(join(A,complement(A)))) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_0]),eq_57]) ).
cnf(eq_70,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_62,eq_69]) ).
cnf(eq_71,plain,
join(B,complement(join(A,complement(B)))) = B,
inference(cp,[status(thm)],[eq_64,eq_68]) ).
cnf(eq_72,plain,
join(x100,complement(join(A,join(complement(A),B)))) = x100,
inference(cp,[status(thm)],[eq_45,eq_68]) ).
cnf(eq_73,plain,
A = join(A,complement(join(B,join(complement(B),C)))),
eq_72 ).
cnf(eq_74,plain,
A = join(A,complement(join(B,complement(A)))),
eq_71 ).
cnf(eq_75,plain,
join(A,A) = A,
inference(cp,[status(thm)],[eq_70,eq_67]) ).
cnf(eq_76,plain,
join(A,join(complement(complement(A)),x101)) = join(complement(complement(A)),x101),
inference(cp,[status(thm)],[eq_70,eq_58]) ).
cnf(eq_77,plain,
join(complement(A),complement(join(x101,A))) = complement(A),
inference(cp,[status(thm)],[eq_70,eq_74]) ).
cnf(eq_78,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_77 ).
cnf(eq_79,plain,
join(A,B) = join(A,join(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_70]),eq_70]) ).
cnf(eq_80,plain,
A = join(A,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_62,eq_70]),eq_70]),eq_0]),eq_9]),eq_12]) ).
cnf(eq_81,plain,
join(top,B) = join(B,complement(B)),
inference(cp,[status(thm)],[eq_49,eq_79]) ).
cnf(eq_82,plain,
join(A,join(A,complement(A))) = top,
inference(cp,[status(thm)],[eq_75,eq_44]) ).
cnf(eq_83,plain,
complement(zero) = top,
inference(cp,[status(thm)],[eq_12,eq_70]) ).
cnf(eq_84,plain,
join(top,A) = top,
inference(rw,[status(thm)],[eq_81,eq_9]) ).
cnf(eq_85,plain,
join(A,top) = top,
inference(rw,[status(thm)],[eq_82,eq_9]) ).
cnf(eq_86,plain,
A = join(complement(top),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_70]),eq_75]),eq_70]) ).
cnf(eq_87,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_47,eq_84]) ).
cnf(eq_88,plain,
join(A,converse(complement(converse(A)))) = top,
inference(rw,[status(thm)],[eq_47,eq_87]) ).
cnf(eq_89,plain,
join(converse(A),converse(complement(A))) = top,
inference(rw,[status(thm)],[eq_50,eq_87]) ).
cnf(eq_90,plain,
converse(complement(converse(complement(top)))) = converse(top),
inference(cp,[status(thm)],[eq_86,eq_47]) ).
cnf(eq_91,plain,
converse(complement(converse(complement(top)))) = top,
inference(rw,[status(thm)],[eq_90,eq_87]) ).
cnf(eq_92,plain,
converse(top) = complement(converse(complement(top))),
inference(cp,[status(thm)],[eq_91,eq_5]) ).
cnf(eq_93,plain,
complement(converse(complement(top))) = top,
inference(rw,[status(thm)],[eq_92,eq_87]) ).
cnf(eq_94,plain,
complement(top) = converse(complement(top)),
inference(cp,[status(thm)],[eq_93,eq_70]) ).
cnf(eq_95,plain,
converse(complement(A)) = join(converse(complement(A)),converse(complement(join(B,A)))),
inference(cp,[status(thm)],[eq_78,eq_6]) ).
cnf(eq_96,plain,
join(converse(complement(A)),converse(complement(join(B,A)))) = converse(complement(A)),
eq_95 ).
cnf(eq_97,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_83]),eq_70]),eq_83]),eq_70]) ).
cnf(eq_98,plain,
join(complement(zero),A) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_83]),eq_73]),eq_83]) ).
cnf(eq_99,plain,
join(A,converse(complement(converse(A)))) = complement(zero),
inference(rw,[status(thm)],[eq_88,eq_83]) ).
cnf(eq_100,plain,
join(converse(A),converse(complement(A))) = complement(zero),
inference(rw,[status(thm)],[eq_89,eq_83]) ).
cnf(eq_101,plain,
join(converse(complement(C)),converse(complement(join(A,join(B,C))))) = converse(complement(C)),
inference(cp,[status(thm)],[eq_1,eq_96]) ).
cnf(eq_102,plain,
join(converse(complement(A)),converse(complement(join(B,join(C,A))))) = converse(complement(A)),
eq_101 ).
cnf(eq_103,plain,
converse(join(complement(A),complement(join(B,join(C,A))))) = converse(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_37]),eq_5]) ).
cnf(eq_104,negated_conjecture,
converse(join(complement(sk1),complement(join(B,join(C,sk1))))) != complement(converse(sk1)),
inference(cp,[status(thm)],[eq_103,eq_11]) ).
cnf(eq_105,negated_conjecture,
complement(converse(sk1)) != converse(join(complement(sk1),complement(join(A,join(B,sk1))))),
eq_104 ).
cnf(eq_106,plain,
join(x100,complement(join(B,complement(join(complement(complement(x100)),B))))) = x100,
inference(cp,[status(thm)],[eq_56,eq_68]) ).
cnf(eq_107,plain,
A = join(A,complement(join(B,complement(join(A,B))))),
inference(rw,[status(thm)],[eq_106,eq_70]) ).
cnf(eq_108,negated_conjecture,
converse(join(complement(sk1),complement(join(x100,complement(zero))))) != complement(converse(sk1)),
inference(cp,[status(thm)],[eq_98,eq_105]) ).
cnf(eq_109,negated_conjecture,
join(converse(complement(sk1)),converse(complement(join(A,complement(zero))))) != complement(converse(sk1)),
inference(rw,[status(thm)],[eq_108,eq_6]) ).
cnf(eq_110,plain,
join(converse(A),complement(join(converse(complement(A)),complement(complement(zero))))) = converse(A),
inference(cp,[status(thm)],[eq_100,eq_107]) ).
cnf(eq_111,plain,
join(A,complement(join(converse(complement(converse(A))),complement(complement(zero))))) = A,
inference(cp,[status(thm)],[eq_99,eq_107]) ).
cnf(eq_112,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_111,eq_70]),eq_80]) ).
cnf(eq_113,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_70]),eq_80]) ).
cnf(eq_114,plain,
join(converse(complement(complement(converse(complement(A))))),converse(complement(converse(A)))) = converse(complement(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_113,eq_96]) ).
cnf(eq_115,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_114,eq_70]),eq_5]),eq_70]),eq_5]) ).
cnf(eq_116,plain,
join(complement(converse(complement(converse(A)))),complement(complement(A))) = complement(converse(complement(converse(A)))),
inference(cp,[status(thm)],[eq_115,eq_78]) ).
cnf(eq_117,plain,
A = complement(converse(complement(converse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_116,eq_70]),eq_0]),eq_112]) ).
cnf(eq_118,plain,
complement(converse(complement(A))) = converse(A),
inference(cp,[status(thm)],[eq_5,eq_117]) ).
cnf(eq_119,negated_conjecture,
join(complement(converse(complement(complement(sk1)))),converse(complement(join(x100,complement(zero))))) != complement(converse(sk1)),
inference(cp,[status(thm)],[eq_118,eq_109]) ).
cnf(eq_120,negated_conjecture,
complement(converse(sk1)) != complement(converse(sk1)),
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_119,eq_70]),eq_83]),eq_85]),eq_12]),eq_97]),eq_80]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL004-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n007.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 05:32:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.92/11.10 % SZS status Unsatisfiable
% 10.92/11.10 % SZS output start CNFRefutation for /tmp/MaedMax_20222
% See solution above
% 10.92/11.10
%------------------------------------------------------------------------------