TSTP Solution File: REL018-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:11:36 EDT 2022
% Result : Unsatisfiable 4.00s 4.21s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 15
% Syntax : Number of clauses : 107 ( 107 unt; 0 nHn; 42 RR)
% Number of literals : 107 ( 106 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 98 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_7629') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_7629') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_7629') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_7629') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_7629') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_7629') ).
cnf(eq_6,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_7629') ).
cnf(eq_7,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_7629') ).
cnf(eq_8,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_7629') ).
cnf(eq_9,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_7629') ).
cnf(eq_10,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_7629') ).
cnf(eq_11,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_7629') ).
cnf(eq_12,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_7629') ).
cnf(eq_13,axiom,
composition(sk1,top) = sk1,
file('/tmp/MaedMax_7629') ).
cnf(eq_14,negated_conjecture,
complement(sk1) != composition(complement(sk1),top),
file('/tmp/MaedMax_7629') ).
cnf(eq_15,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_3]),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(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_19,plain,
join(complement(join(complement(A),complement(complement(B)))),meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_20,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_21,plain,
join(composition(A,complement(composition(converse(A),x101))),complement(x101)) = complement(x101),
inference(cp,[status(thm)],[eq_7,eq_10]) ).
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(composition(converse(sk1),complement(sk1)),complement(top)) = complement(top),
inference(cp,[status(thm)],[eq_13,eq_10]) ).
cnf(eq_24,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_25,plain,
composition(A,x102) = composition(A,composition(one,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_26,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_27,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_28,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_29,plain,
composition(top,x102) = join(composition(A,x102),composition(complement(A),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_30,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_24 ).
cnf(eq_31,plain,
composition(converse(one),converse(A)) = converse(A),
eq_26 ).
cnf(eq_32,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_18 ).
cnf(eq_33,plain,
join(complement(A),composition(B,complement(composition(converse(B),A)))) = complement(A),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_34,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_37]) ).
cnf(eq_35,plain,
join(complement(top),composition(converse(sk1),complement(sk1))) = complement(top),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_36,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_37,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_38,plain,
composition(A,B) = composition(A,composition(one,B)),
eq_25 ).
cnf(eq_39,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_31]) ).
cnf(eq_40,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_30]) ).
cnf(eq_41,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_39,eq_7]) ).
cnf(eq_42,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_40 ).
cnf(eq_43,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_44,plain,
A = join(meet(A,B),meet(A,complement(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_3]),eq_0]) ).
cnf(eq_45,negated_conjecture,
composition(complement(sk1),composition(one,top)) != complement(sk1),
inference(cp,[status(thm)],[eq_38,eq_14]) ).
cnf(eq_46,negated_conjecture,
complement(sk1) != composition(complement(sk1),composition(one,top)),
eq_45 ).
cnf(eq_47,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_15]),eq_3]) ).
cnf(eq_48,plain,
A = join(complement(join(complement(A),complement(A))),complement(top)),
inference(cp,[status(thm)],[eq_32,eq_0]) ).
cnf(eq_49,plain,
A = join(meet(A,A),zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_3]),eq_15]) ).
cnf(eq_50,plain,
join(composition(A,B),composition(complement(A),B)) = composition(top,B),
eq_29 ).
cnf(eq_51,plain,
join(complement(one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_41,eq_22]) ).
cnf(eq_52,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_41,eq_5]) ).
cnf(eq_53,plain,
zero = meet(complement(A),A),
inference(cp,[status(thm)],[eq_12,eq_43]) ).
cnf(eq_54,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_41,eq_52]) ).
cnf(eq_55,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_54,eq_10]) ).
cnf(eq_56,plain,
meet(complement(A),A) = zero,
eq_53 ).
cnf(eq_57,plain,
complement(complement(one)) = meet(one,one),
inference(cp,[status(thm)],[eq_51,eq_3]) ).
cnf(eq_58,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_52]),eq_54]) ).
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_58,eq_34]) ).
cnf(eq_60,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_59,eq_27]) ).
cnf(eq_61,plain,
join(zero,meet(one,meet(one,one))) = one,
inference(cp,[status(thm)],[eq_57,eq_47]) ).
cnf(eq_62,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_58,eq_3]) ).
cnf(eq_63,plain,
meet(meet(one,one),complement(one)) = zero,
inference(cp,[status(thm)],[eq_57,eq_56]) ).
cnf(eq_64,plain,
join(meet(A,B),meet(B,complement(A))) = B,
inference(cp,[status(thm)],[eq_43,eq_44]) ).
cnf(eq_65,plain,
A = join(meet(B,A),meet(A,complement(B))),
eq_64 ).
cnf(eq_66,plain,
zero = meet(complement(complement(one)),complement(one)),
inference(rw,[status(thm)],[eq_63,eq_62]) ).
cnf(eq_67,plain,
complement(complement(one)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_66]),eq_62]),eq_0]),eq_65]) ).
cnf(eq_68,plain,
join(one,complement(complement(one))) = complement(complement(one)),
inference(cp,[status(thm)],[eq_67,eq_58]) ).
cnf(eq_69,plain,
join(composition(converse(complement(one)),one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_67,eq_22]) ).
cnf(eq_70,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_5]),eq_0]) ).
cnf(eq_71,plain,
zero = meet(one,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_62]),eq_67]) ).
cnf(eq_72,plain,
A = join(A,meet(A,B)),
inference(rw,[status(thm)],[eq_60,eq_3]) ).
cnf(eq_73,plain,
join(one,one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_67]),eq_67]) ).
cnf(eq_74,plain,
meet(complement(A),A) = meet(one,complement(one)),
inference(rw,[status(thm)],[eq_56,eq_71]) ).
cnf(eq_75,plain,
converse(complement(one)) = join(converse(complement(one)),converse(converse(complement(one)))),
inference(cp,[status(thm)],[eq_70,eq_8]) ).
cnf(eq_76,plain,
complement(one) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_7]),eq_0]),eq_70]) ).
cnf(eq_77,plain,
zero = complement(join(complement(one),one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_3]),eq_58]),eq_67]),eq_3]),eq_67]) ).
cnf(eq_78,plain,
composition(one,x102) = join(composition(one,x102),composition(one,x102)),
inference(cp,[status(thm)],[eq_73,eq_6]) ).
cnf(eq_79,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_54]),eq_54]),eq_54]) ).
cnf(eq_80,plain,
join(B,meet(A,B)) = B,
inference(cp,[status(thm)],[eq_43,eq_72]) ).
cnf(eq_81,plain,
join(A,x102) = join(A,join(A,x102)),
inference(cp,[status(thm)],[eq_79,eq_1]) ).
cnf(eq_82,plain,
A = join(A,meet(B,A)),
eq_80 ).
cnf(eq_83,plain,
join(A,B) = join(A,join(A,B)),
eq_81 ).
cnf(eq_84,plain,
join(A,meet(one,complement(one))) = A,
inference(cp,[status(thm)],[eq_74,eq_82]) ).
cnf(eq_85,plain,
A = join(A,meet(one,complement(one))),
eq_84 ).
cnf(eq_86,plain,
A = join(A,complement(join(one,complement(one)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_3]),eq_67]),eq_0]) ).
cnf(eq_87,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_3]),eq_77]),eq_79]),eq_0]),eq_86]) ).
cnf(eq_88,plain,
A = join(complement(top),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_87]),eq_79]),eq_87]) ).
cnf(eq_89,plain,
join(complement(one),converse(complement(complement(one)))) = converse(top),
inference(cp,[status(thm)],[eq_76,eq_42]) ).
cnf(eq_90,plain,
converse(top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_87]),eq_52]),eq_0]),eq_11]) ).
cnf(eq_91,plain,
complement(top) = composition(converse(sk1),complement(sk1)),
inference(cp,[status(thm)],[eq_35,eq_88]) ).
cnf(eq_92,plain,
A = join(composition(converse(sk1),complement(sk1)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_91]),eq_87]),eq_79]),eq_87]) ).
cnf(eq_93,plain,
converse(complement(converse(composition(converse(sk1),complement(sk1))))) = converse(top),
inference(cp,[status(thm)],[eq_92,eq_42]) ).
cnf(eq_94,plain,
join(A,composition(complement(one),A)) = composition(top,A),
inference(cp,[status(thm)],[eq_54,eq_50]) ).
cnf(eq_95,plain,
converse(complement(composition(converse(complement(sk1)),sk1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_9]),eq_7]),eq_90]) ).
cnf(eq_96,plain,
converse(top) = complement(composition(converse(complement(sk1)),sk1)),
inference(cp,[status(thm)],[eq_95,eq_7]) ).
cnf(eq_97,plain,
complement(composition(converse(complement(sk1)),sk1)) = top,
inference(rw,[status(thm)],[eq_96,eq_90]) ).
cnf(eq_98,plain,
join(complement(sk1),composition(complement(sk1),top)) = complement(sk1),
inference(cp,[status(thm)],[eq_97,eq_33]) ).
cnf(eq_99,plain,
join(A,composition(top,A)) = join(A,composition(complement(one),A)),
inference(cp,[status(thm)],[eq_94,eq_83]) ).
cnf(eq_100,plain,
converse(complement(sk1)) = join(converse(complement(sk1)),converse(composition(complement(sk1),top))),
inference(cp,[status(thm)],[eq_98,eq_8]) ).
cnf(eq_101,plain,
join(A,composition(top,A)) = composition(top,A),
inference(rw,[status(thm)],[eq_99,eq_94]) ).
cnf(eq_102,plain,
composition(top,converse(complement(sk1))) = converse(complement(sk1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_9]),eq_90]),eq_101]) ).
cnf(eq_103,plain,
converse(converse(complement(sk1))) = composition(converse(converse(complement(sk1))),converse(top)),
inference(cp,[status(thm)],[eq_102,eq_9]) ).
cnf(eq_104,plain,
complement(sk1) = composition(complement(sk1),top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_103,eq_7]),eq_7]),eq_90]) ).
cnf(eq_105,negated_conjecture,
complement(sk1) != complement(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_54]),eq_104]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n005.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 05:48:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.00/4.21 % SZS status Unsatisfiable
% 4.00/4.21 % SZS output start CNFRefutation for /tmp/MaedMax_7629
% See solution above
% 4.00/4.21
%------------------------------------------------------------------------------