TSTP Solution File: REL005-3 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n016.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 17.97s 18.17s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 30 RR)
% Number of literals : 105 ( 104 equ; 2 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 : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_20012') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_20012') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_20012') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_20012') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_20012') ).
cnf(eq_5,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_20012') ).
cnf(eq_6,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_20012') ).
cnf(eq_7,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_20012') ).
cnf(eq_8,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_20012') ).
cnf(eq_9,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_20012') ).
cnf(eq_10,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_20012') ).
cnf(eq_11,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_20012') ).
cnf(eq_12,negated_conjecture,
meet(converse(sk1),converse(sk2)) != converse(meet(sk1,sk2)),
file('/tmp/MaedMax_20012') ).
cnf(eq_13,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_10]) ).
cnf(eq_14,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_15,plain,
join(join(A,B),x102) = join(B,join(A,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_16,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_10,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(A),complement(complement(B)))),meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_19,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_20,plain,
join(composition(converse(A),complement(A)),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_21,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_22,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_8]) ).
cnf(eq_23,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_24,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_25,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_26,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_21 ).
cnf(eq_27,plain,
join(complement(one),composition(converse(A),complement(A))) = complement(one),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_28,plain,
composition(converse(one),converse(A)) = converse(A),
eq_22 ).
cnf(eq_29,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_16 ).
cnf(eq_30,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(rw,[status(thm)],[eq_14,eq_34]) ).
cnf(eq_31,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_24 ).
cnf(eq_32,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_19,eq_0]) ).
cnf(eq_33,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_17 ).
cnf(eq_34,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_35,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_6,eq_28]) ).
cnf(eq_36,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_10,eq_26]) ).
cnf(eq_37,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_35,eq_6]) ).
cnf(eq_38,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_36 ).
cnf(eq_39,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_40,plain,
A = join(meet(A,B),meet(A,complement(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_3]),eq_0]) ).
cnf(eq_41,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_13]),eq_3]) ).
cnf(eq_42,plain,
A = join(complement(join(complement(A),complement(A))),complement(top)),
inference(cp,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_43,plain,
A = join(meet(A,A),zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_3]),eq_13]) ).
cnf(eq_44,plain,
join(complement(one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_37,eq_27]) ).
cnf(eq_45,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_37,eq_4]) ).
cnf(eq_46,plain,
zero = meet(complement(A),A),
inference(cp,[status(thm)],[eq_11,eq_39]) ).
cnf(eq_47,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_37,eq_45]) ).
cnf(eq_48,plain,
meet(complement(A),A) = zero,
eq_46 ).
cnf(eq_49,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_47,eq_9]) ).
cnf(eq_50,plain,
complement(complement(one)) = meet(one,one),
inference(cp,[status(thm)],[eq_44,eq_3]) ).
cnf(eq_51,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_45]),eq_47]) ).
cnf(eq_52,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_51,eq_30]) ).
cnf(eq_53,plain,
join(complement(complement(A)),complement(join(complement(A),A))) = A,
inference(cp,[status(thm)],[eq_51,eq_33]) ).
cnf(eq_54,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_52,eq_23]) ).
cnf(eq_55,plain,
A = join(complement(complement(A)),complement(join(A,complement(A)))),
inference(rw,[status(thm)],[eq_53,eq_0]) ).
cnf(eq_56,plain,
join(meet(A,B),complement(join(complement(A),complement(B)))) = complement(join(complement(A),complement(B))),
inference(cp,[status(thm)],[eq_3,eq_51]) ).
cnf(eq_57,plain,
join(zero,meet(one,meet(one,one))) = one,
inference(cp,[status(thm)],[eq_50,eq_41]) ).
cnf(eq_58,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_51,eq_3]) ).
cnf(eq_59,plain,
meet(meet(one,one),complement(one)) = zero,
inference(cp,[status(thm)],[eq_50,eq_48]) ).
cnf(eq_60,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_3]),eq_3]) ).
cnf(eq_61,plain,
join(meet(A,B),meet(B,complement(A))) = B,
inference(cp,[status(thm)],[eq_39,eq_40]) ).
cnf(eq_62,plain,
A = join(meet(B,A),meet(A,complement(B))),
eq_61 ).
cnf(eq_63,plain,
meet(one,one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_59]),eq_0]),eq_62]) ).
cnf(eq_64,plain,
join(one,meet(one,one)) = meet(one,one),
inference(cp,[status(thm)],[eq_63,eq_60]) ).
cnf(eq_65,plain,
join(one,complement(complement(one))) = complement(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_58]),eq_58]) ).
cnf(eq_66,plain,
complement(complement(one)) = one,
inference(rw,[status(thm)],[eq_63,eq_58]) ).
cnf(eq_67,plain,
join(composition(converse(complement(one)),one),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_66,eq_20]) ).
cnf(eq_68,plain,
join(one,one) = complement(complement(one)),
inference(cp,[status(thm)],[eq_66,eq_65]) ).
cnf(eq_69,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_4]),eq_0]) ).
cnf(eq_70,plain,
join(one,one) = one,
inference(rw,[status(thm)],[eq_66,eq_68]) ).
cnf(eq_71,plain,
converse(complement(one)) = join(converse(complement(one)),converse(converse(complement(one)))),
inference(cp,[status(thm)],[eq_69,eq_7]) ).
cnf(eq_72,plain,
complement(one) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_6]),eq_0]),eq_69]) ).
cnf(eq_73,plain,
composition(one,x102) = join(composition(one,x102),composition(one,x102)),
inference(cp,[status(thm)],[eq_70,eq_5]) ).
cnf(eq_74,plain,
join(A,complement(complement(A))) = A,
inference(cp,[status(thm)],[eq_51,eq_54]) ).
cnf(eq_75,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_47]),eq_47]),eq_47]) ).
cnf(eq_76,plain,
join(x100,A) = join(complement(complement(A)),join(x100,A)),
inference(cp,[status(thm)],[eq_74,eq_31]) ).
cnf(eq_77,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_75,eq_31]) ).
cnf(eq_78,plain,
join(A,B) = join(complement(complement(B)),join(A,B)),
eq_76 ).
cnf(eq_79,plain,
join(A,B) = join(B,join(A,B)),
eq_77 ).
cnf(eq_80,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_79,eq_30]) ).
cnf(eq_81,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_80,eq_2]) ).
cnf(eq_82,plain,
join(complement(B),complement(join(A,B))) = complement(B),
inference(cp,[status(thm)],[eq_78,eq_81]) ).
cnf(eq_83,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_82 ).
cnf(eq_84,plain,
converse(complement(A)) = join(converse(complement(A)),converse(complement(join(B,A)))),
inference(cp,[status(thm)],[eq_83,eq_7]) ).
cnf(eq_85,plain,
A = complement(complement(A)),
inference(cp,[status(thm)],[eq_55,eq_83]) ).
cnf(eq_86,plain,
join(converse(complement(A)),converse(complement(join(B,A)))) = converse(complement(A)),
eq_84 ).
cnf(eq_87,plain,
A = join(A,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_3]),eq_75]),eq_85]) ).
cnf(eq_88,plain,
join(one,converse(complement(one))) = converse(top),
inference(cp,[status(thm)],[eq_45,eq_38]) ).
cnf(eq_89,plain,
join(complement(join(complement(converse(complement(converse(complement(x101))))),complement(x101))),complement(converse(top))) = x101,
inference(cp,[status(thm)],[eq_38,eq_33]) ).
cnf(eq_90,plain,
converse(top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_72]),eq_10]) ).
cnf(eq_91,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_89,eq_0]),eq_90]),eq_13]),eq_87]) ).
cnf(eq_92,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_85,eq_91]) ).
cnf(eq_93,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_92,eq_85]) ).
cnf(eq_94,plain,
join(converse(complement(complement(converse(complement(converse(A)))))),converse(complement(A))) = converse(complement(complement(converse(complement(converse(A)))))),
inference(cp,[status(thm)],[eq_93,eq_86]) ).
cnf(eq_95,plain,
complement(complement(join(A,complement(converse(complement(converse(A))))))) = A,
inference(cp,[status(thm)],[eq_93,eq_85]) ).
cnf(eq_96,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_95,eq_85]) ).
cnf(eq_97,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_6,eq_96]) ).
cnf(eq_98,plain,
join(converse(complement(A)),complement(converse(A))) = converse(complement(A)),
inference(cp,[status(thm)],[eq_85,eq_97]) ).
cnf(eq_99,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_98,eq_0]) ).
cnf(eq_100,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_85]),eq_6]),eq_99]),eq_85]),eq_6]) ).
cnf(eq_101,plain,
converse(meet(A,B)) = complement(converse(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_3,eq_100]) ).
cnf(eq_102,plain,
meet(converse(A),converse(B)) = converse(meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_7]),eq_100]),eq_100]),eq_3]) ).
cnf(eq_103,negated_conjecture,
converse(meet(sk1,sk2)) != converse(meet(sk1,sk2)),
inference(cp,[status(thm)],[eq_102,eq_12]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 06:04:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 17.97/18.17 % SZS status Unsatisfiable
% 17.97/18.17 % SZS output start CNFRefutation for /tmp/MaedMax_20012
% See solution above
% 17.97/18.17
%------------------------------------------------------------------------------