TSTP Solution File: REL016-3 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL016-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 07:11:35 EDT 2022
% Result : Unsatisfiable 137.39s 137.65s
% Output : CNFRefutation 137.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of clauses : 112 ( 112 unt; 0 nHn; 23 RR)
% Number of literals : 112 ( 111 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 133 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_21191') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_21191') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_21191') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_21191') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_21191') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_21191') ).
cnf(eq_6,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_21191') ).
cnf(eq_7,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_21191') ).
cnf(eq_8,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_21191') ).
cnf(eq_9,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_21191') ).
cnf(eq_10,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_21191') ).
cnf(eq_11,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_21191') ).
cnf(eq_12,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_21191') ).
cnf(eq_13,negated_conjecture,
meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))) != meet(composition(sk1,sk2),complement(composition(sk1,sk3))),
file('/tmp/MaedMax_21191') ).
cnf(eq_14,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_3]),eq_11]) ).
cnf(eq_15,negated_conjecture,
complement(join(complement(composition(sk1,complement(join(complement(complement(sk3)),complement(sk2))))),complement(complement(composition(sk1,sk3))))) != complement(join(complement(composition(sk1,sk2)),complement(complement(composition(sk1,sk3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_3]),eq_0]),eq_3]),eq_3]) ).
cnf(eq_16,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_11,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(converse(x101),converse(x100)) = converse(join(x100,x101)),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
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,
join(converse(x100),A) = converse(join(x100,converse(A))),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_21,plain,
composition(A,x102) = composition(A,composition(one,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_22,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_23,plain,
converse(composition(converse(A),converse(B))) = composition(B,A),
inference(cp,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_24,plain,
join(x100,top) = join(A,join(x100,complement(A))),
inference(cp,[status(thm)],[eq_11,eq_31]) ).
cnf(eq_25,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(rw,[status(thm)],[eq_18,eq_8]) ).
cnf(eq_26,plain,
composition(converse(one),converse(A)) = converse(A),
eq_22 ).
cnf(eq_27,plain,
join(A,join(B,complement(A))) = join(B,top),
eq_24 ).
cnf(eq_28,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_19 ).
cnf(eq_29,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_16 ).
cnf(eq_30,plain,
composition(A,B) = composition(A,composition(one,B)),
eq_21 ).
cnf(eq_31,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_32,plain,
join(converse(A),B) = converse(join(A,converse(B))),
eq_20 ).
cnf(eq_33,negated_conjecture,
meet(complement(composition(sk1,sk3)),composition(sk1,meet(complement(sk3),sk2))) != meet(complement(composition(sk1,sk3)),composition(sk1,sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_3]),eq_0]),eq_3]),eq_0]),eq_3]) ).
cnf(eq_34,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_35,plain,
join(join(complement(B),x101),B) = join(top,x101),
inference(cp,[status(thm)],[eq_0,eq_29]) ).
cnf(eq_36,plain,
join(x100,top) = join(top,complement(complement(x100))),
inference(cp,[status(thm)],[eq_11,eq_29]) ).
cnf(eq_37,plain,
join(x100,join(A,complement(x100))) = join(top,A),
inference(cp,[status(thm)],[eq_0,eq_29]) ).
cnf(eq_38,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_26]) ).
cnf(eq_39,plain,
join(A,converse(B)) = converse(join(B,converse(A))),
inference(cp,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_40,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_11,eq_28]) ).
cnf(eq_41,plain,
join(complement(A),join(B,A)) = join(top,B),
inference(rw,[status(thm)],[eq_35,eq_1]) ).
cnf(eq_42,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_38,eq_7]) ).
cnf(eq_43,plain,
join(A,top) = join(top,complement(complement(A))),
eq_36 ).
cnf(eq_44,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_40 ).
cnf(eq_45,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_34,eq_3]) ).
cnf(eq_46,plain,
composition(one,x101) = composition(converse(one),x101),
inference(cp,[status(thm)],[eq_42,eq_30]) ).
cnf(eq_47,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_46,eq_42]) ).
cnf(eq_48,plain,
join(A,top) = join(top,A),
inference(rw,[status(thm)],[eq_37,eq_27]) ).
cnf(eq_49,plain,
join(complement(join(complement(A),complement(join(B,A)))),complement(join(top,B))) = A,
inference(cp,[status(thm)],[eq_41,eq_2]) ).
cnf(eq_50,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_47,eq_10]) ).
cnf(eq_51,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[eq_50,eq_42]) ).
cnf(eq_52,plain,
join(complement(complement(A)),complement(A)) = join(top,complement(A)),
inference(cp,[status(thm)],[eq_51,eq_41]) ).
cnf(eq_53,plain,
join(zero,complement(top)) = complement(top),
inference(cp,[status(thm)],[eq_14,eq_51]) ).
cnf(eq_54,plain,
join(complement(complement(A)),complement(join(complement(A),A))) = A,
inference(cp,[status(thm)],[eq_51,eq_2]) ).
cnf(eq_55,plain,
join(complement(join(complement(x100),complement(converse(complement(converse(complement(x100))))))),complement(converse(top))) = x100,
inference(cp,[status(thm)],[eq_44,eq_2]) ).
cnf(eq_56,plain,
join(top,complement(A)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_0]),eq_11]) ).
cnf(eq_57,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_0]),eq_11]),eq_14]),eq_0]) ).
cnf(eq_58,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_14]),eq_14]) ).
cnf(eq_59,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_58,eq_1]) ).
cnf(eq_60,plain,
join(A,top) = top,
inference(cp,[status(thm)],[eq_43,eq_56]) ).
cnf(eq_61,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_59 ).
cnf(eq_62,plain,
join(top,A) = top,
inference(rw,[status(thm)],[eq_48,eq_60]) ).
cnf(eq_63,plain,
join(zero,A) = join(zero,complement(complement(A))),
inference(cp,[status(thm)],[eq_57,eq_61]) ).
cnf(eq_64,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_44,eq_62]) ).
cnf(eq_65,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_63,eq_57]) ).
cnf(eq_66,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_57,eq_65]) ).
cnf(eq_67,plain,
A = join(A,zero),
inference(cp,[status(thm)],[eq_65,eq_0]) ).
cnf(eq_68,plain,
A = join(A,complement(top)),
inference(rw,[status(thm)],[eq_67,eq_14]) ).
cnf(eq_69,plain,
join(A,complement(complement(A))) = complement(complement(A)),
inference(cp,[status(thm)],[eq_66,eq_51]) ).
cnf(eq_70,plain,
join(complement(join(complement(complement(A)),complement(x101))),complement(join(A,x101))) = complement(A),
inference(cp,[status(thm)],[eq_66,eq_2]) ).
cnf(eq_71,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_66]),eq_66]) ).
cnf(eq_72,plain,
A = complement(join(complement(A),complement(join(B,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_62]),eq_68]) ).
cnf(eq_73,plain,
A = complement(join(complement(A),complement(converse(complement(converse(complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_64]),eq_68]) ).
cnf(eq_74,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_66]),eq_0]) ).
cnf(eq_75,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_71,eq_31]) ).
cnf(eq_76,plain,
join(A,B) = join(B,join(A,B)),
eq_75 ).
cnf(eq_77,plain,
complement(join(complement(complement(join(complement(A),B))),complement(A))) = complement(join(complement(A),B)),
inference(cp,[status(thm)],[eq_2,eq_72]) ).
cnf(eq_78,plain,
complement(A) = join(complement(A),complement(join(B,A))),
inference(cp,[status(thm)],[eq_72,eq_66]) ).
cnf(eq_79,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_78 ).
cnf(eq_80,plain,
complement(join(A,complement(B))) = complement(join(complement(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_66]),eq_1]),eq_76]) ).
cnf(eq_81,plain,
composition(A,B) = converse(composition(converse(B),converse(A))),
eq_23 ).
cnf(eq_82,plain,
complement(join(A,x101)) = complement(join(x101,complement(complement(A)))),
inference(cp,[status(thm)],[eq_66,eq_80]) ).
cnf(eq_83,plain,
complement(join(A,B)) = complement(join(B,A)),
inference(rw,[status(thm)],[eq_82,eq_66]) ).
cnf(eq_84,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_66,eq_73]) ).
cnf(eq_85,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_84,eq_66]) ).
cnf(eq_86,plain,
complement(complement(join(A,complement(converse(complement(converse(A))))))) = A,
inference(cp,[status(thm)],[eq_85,eq_66]) ).
cnf(eq_87,plain,
join(complement(join(complement(join(A,B)),join(A,complement(B)))),complement(complement(A))) = complement(complement(join(A,B))),
inference(cp,[status(thm)],[eq_74,eq_74]) ).
cnf(eq_88,plain,
join(A,B) = join(A,complement(join(A,complement(B)))),
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_87,eq_31]),eq_66]),eq_0]),eq_79]),eq_0]),eq_66]) ).
cnf(eq_89,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_86,eq_66]) ).
cnf(eq_90,plain,
join(complement(join(A,B)),complement(complement(A))) = join(complement(join(A,B)),join(A,complement(B))),
inference(cp,[status(thm)],[eq_74,eq_88]) ).
cnf(eq_91,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_7,eq_89]) ).
cnf(eq_92,plain,
join(A,complement(B)) = join(A,complement(join(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_66]),eq_0]),eq_31]),eq_0]),eq_79]) ).
cnf(eq_93,plain,
converse(converse(A)) = join(converse(converse(A)),converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_91,eq_8]) ).
cnf(eq_94,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(cp,[status(thm)],[eq_83,eq_92]) ).
cnf(eq_95,plain,
join(converse(complement(A)),complement(converse(A))) = converse(complement(A)),
inference(cp,[status(thm)],[eq_66,eq_91]) ).
cnf(eq_96,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_95,eq_0]) ).
cnf(eq_97,plain,
A = join(A,converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_7]),eq_7]) ).
cnf(eq_98,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(cp,[status(thm)],[eq_66,eq_97]) ).
cnf(eq_99,plain,
join(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(cp,[status(thm)],[eq_7,eq_98]) ).
cnf(eq_100,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[eq_99,eq_96]) ).
cnf(eq_101,negated_conjecture,
meet(complement(composition(sk1,sk3)),composition(sk1,meet(sk2,complement(sk3)))) != meet(complement(composition(sk1,sk3)),composition(sk1,sk2)),
inference(cp,[status(thm)],[eq_45,eq_33]) ).
cnf(eq_102,negated_conjecture,
meet(complement(composition(sk1,sk3)),converse(composition(converse(meet(sk2,complement(sk3))),converse(sk1)))) != meet(complement(composition(sk1,sk3)),composition(sk1,sk2)),
inference(cp,[status(thm)],[eq_81,eq_101]) ).
cnf(eq_103,negated_conjecture,
complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))) != complement(join(composition(sk1,sk3),converse(complement(composition(converse(complement(join(sk3,complement(sk2)))),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_3]),eq_66]),eq_0]),eq_3]),eq_66]),eq_100]),eq_3]),eq_66]) ).
cnf(eq_104,plain,
join(composition(C,B),complement(composition(join(A,C),B))) = join(composition(C,B),complement(composition(A,B))),
inference(cp,[status(thm)],[eq_6,eq_94]) ).
cnf(eq_105,plain,
join(composition(A,B),complement(composition(C,B))) = join(composition(A,B),complement(composition(join(C,A),B))),
eq_104 ).
cnf(eq_106,negated_conjecture,
complement(converse(join(complement(composition(converse(complement(join(sk3,complement(sk2)))),converse(sk1))),converse(composition(sk1,sk3))))) != complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))),
inference(cp,[status(thm)],[eq_39,eq_103]) ).
cnf(eq_107,negated_conjecture,
complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))) != complement(converse(join(composition(converse(sk3),converse(sk1)),complement(composition(complement(converse(join(sk3,complement(sk2)))),converse(sk1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_100]),eq_9]),eq_0]) ).
cnf(eq_108,negated_conjecture,
complement(converse(join(composition(converse(sk3),converse(sk1)),complement(composition(join(complement(converse(join(sk3,complement(sk2)))),converse(sk3)),converse(sk1)))))) != complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))),
inference(cp,[status(thm)],[eq_105,eq_107]) ).
cnf(eq_109,negated_conjecture,
complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))) != complement(converse(join(composition(converse(sk3),converse(sk1)),complement(composition(converse(join(sk3,sk2)),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_108,eq_0]),eq_32]),eq_100]),eq_7]),eq_92]),eq_66]) ).
cnf(eq_110,negated_conjecture,
complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))) != complement(join(composition(sk1,sk3),complement(composition(sk1,sk2)))),
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_109,eq_8]),eq_6]),eq_92]),eq_8]),eq_9]),eq_100]),eq_7]),eq_7]),eq_9]),eq_7]),eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL016-3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n019.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 05:47:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 137.39/137.65 % SZS status Unsatisfiable
% 137.39/137.65 % SZS output start CNFRefutation for /tmp/MaedMax_21191
% See solution above
% 137.39/137.65
%------------------------------------------------------------------------------