TSTP Solution File: REL047-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 07:11:43 EDT 2022
% Result : Unsatisfiable 118.22s 118.42s
% Output : CNFRefutation 118.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of clauses : 98 ( 98 unt; 0 nHn; 20 RR)
% Number of literals : 98 ( 97 equ; 7 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 : 122 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_9033') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_9033') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_9033') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_9033') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_9033') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_9033') ).
cnf(eq_6,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_9033') ).
cnf(eq_7,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_9033') ).
cnf(eq_8,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_9033') ).
cnf(eq_9,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_9033') ).
cnf(eq_10,axiom,
join(sk1,sk2) = sk2,
file('/tmp/MaedMax_9033') ).
cnf(eq_11,axiom,
join(sk1,sk3) = sk3,
file('/tmp/MaedMax_9033') ).
cnf(eq_12,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/tmp/MaedMax_9033') ).
cnf(eq_13,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_3]),eq_8]) ).
cnf(eq_14,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
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_8,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(sk2,x102) = join(sk1,join(sk2,x102)),
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_19,plain,
join(sk3,x102) = join(sk1,join(sk3,x102)),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_20,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_21,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_8,eq_2]) ).
cnf(eq_22,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_23,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
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,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_27,plain,
composition(converse(one),converse(A)) = converse(A),
eq_23 ).
cnf(eq_28,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_21 ).
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_33]) ).
cnf(eq_30,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_25 ).
cnf(eq_31,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_16 ).
cnf(eq_32,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_22 ).
cnf(eq_33,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_34,plain,
join(sk2,A) = join(sk2,join(sk1,A)),
inference(rw,[status(thm)],[eq_18,eq_33]) ).
cnf(eq_35,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_20,eq_33]),eq_0]) ).
cnf(eq_36,plain,
complement(join(complement(A),complement(B))) = complement(join(complement(B),complement(A))),
inference(rw,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_37,plain,
join(sk3,A) = join(sk3,join(sk1,A)),
inference(rw,[status(thm)],[eq_19,eq_33]) ).
cnf(eq_38,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_27]) ).
cnf(eq_39,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_40,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_41,plain,
join(x100,top) = join(top,complement(complement(x100))),
inference(cp,[status(thm)],[eq_8,eq_31]) ).
cnf(eq_42,plain,
join(A,top) = join(top,complement(complement(A))),
eq_41 ).
cnf(eq_43,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_39,eq_4]) ).
cnf(eq_44,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_39,eq_43]) ).
cnf(eq_45,plain,
join(x100,top) = join(complement(A),join(x100,A)),
inference(cp,[status(thm)],[eq_8,eq_30]) ).
cnf(eq_46,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_44,eq_7]) ).
cnf(eq_47,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_43]),eq_44]) ).
cnf(eq_48,plain,
join(complement(A),join(complement(A),complement(complement(A)))) = top,
inference(cp,[status(thm)],[eq_47,eq_14]) ).
cnf(eq_49,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_47,eq_3]) ).
cnf(eq_50,plain,
join(meet(A,B),complement(join(complement(A),complement(B)))) = complement(join(complement(A),complement(B))),
inference(cp,[status(thm)],[eq_3,eq_47]) ).
cnf(eq_51,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_3]),eq_3]) ).
cnf(eq_52,plain,
join(top,complement(A)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_8]),eq_0]) ).
cnf(eq_53,plain,
join(complement(A),complement(join(complement(A),join(A,complement(complement(A)))))) = join(complement(A),complement(A)),
inference(cp,[status(thm)],[eq_47,eq_35]) ).
cnf(eq_54,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_47,eq_29]) ).
cnf(eq_55,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_54,eq_24]) ).
cnf(eq_56,plain,
join(A,top) = top,
inference(cp,[status(thm)],[eq_42,eq_52]) ).
cnf(eq_57,plain,
join(complement(A),join(B,A)) = top,
inference(rw,[status(thm)],[eq_45,eq_56]) ).
cnf(eq_58,plain,
join(zero,complement(A)) = complement(A),
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_53,eq_33]),eq_8]),eq_56]),eq_13]),eq_0]),eq_47]) ).
cnf(eq_59,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_13]),eq_47]),eq_58]) ).
cnf(eq_60,plain,
complement(join(complement(x100),A)) = meet(x100,complement(A)),
inference(cp,[status(thm)],[eq_59,eq_3]) ).
cnf(eq_61,plain,
meet(A,A) = A,
inference(cp,[status(thm)],[eq_49,eq_59]) ).
cnf(eq_62,plain,
complement(join(complement(A),B)) = meet(A,complement(B)),
eq_60 ).
cnf(eq_63,plain,
join(A,meet(A,A)) = meet(A,A),
inference(cp,[status(thm)],[eq_61,eq_51]) ).
cnf(eq_64,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_61]),eq_61]) ).
cnf(eq_65,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_64,eq_30]) ).
cnf(eq_66,plain,
join(A,B) = join(B,join(A,B)),
eq_65 ).
cnf(eq_67,plain,
join(complement(join(complement(join(B,A)),complement(A))),complement(top)) = A,
inference(cp,[status(thm)],[eq_57,eq_32]) ).
cnf(eq_68,plain,
complement(join(A,complement(x101))) = complement(join(complement(x101),complement(complement(A)))),
inference(cp,[status(thm)],[eq_59,eq_36]) ).
cnf(eq_69,plain,
complement(join(A,complement(B))) = complement(join(complement(B),A)),
inference(rw,[status(thm)],[eq_68,eq_59]) ).
cnf(eq_70,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_67,eq_0]),eq_13]),eq_0]),eq_58]) ).
cnf(eq_71,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_66,eq_29]) ).
cnf(eq_72,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_71,eq_2]) ).
cnf(eq_73,plain,
complement(join(complement(join(sk1,A)),complement(join(sk2,A)))) = join(sk1,A),
inference(cp,[status(thm)],[eq_34,eq_70]) ).
cnf(eq_74,plain,
join(sk1,A) = complement(join(complement(join(sk2,A)),complement(join(sk1,A)))),
inference(rw,[status(thm)],[eq_73,eq_0]) ).
cnf(eq_75,plain,
join(join(complement(B),complement(A)),complement(join(complement(join(complement(A),complement(B))),x101))) = join(complement(B),complement(A)),
inference(cp,[status(thm)],[eq_36,eq_72]) ).
cnf(eq_76,plain,
join(complement(A),join(complement(B),complement(join(complement(join(complement(B),complement(A))),C)))) = join(complement(A),complement(B)),
inference(rw,[status(thm)],[eq_75,eq_1]) ).
cnf(eq_77,plain,
A = join(A,meet(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_62]),eq_59]) ).
cnf(eq_78,plain,
A = meet(A,join(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_62]),eq_59]) ).
cnf(eq_79,plain,
join(B,meet(A,B)) = B,
inference(cp,[status(thm)],[eq_40,eq_77]) ).
cnf(eq_80,plain,
A = meet(join(B,A),A),
inference(cp,[status(thm)],[eq_78,eq_40]) ).
cnf(eq_81,plain,
A = join(A,meet(B,A)),
eq_79 ).
cnf(eq_82,plain,
meet(join(sk3,A),join(sk1,A)) = join(sk1,A),
inference(cp,[status(thm)],[eq_37,eq_80]) ).
cnf(eq_83,plain,
meet(sk3,join(sk1,meet(B,sk3))) = join(sk1,meet(B,sk3)),
inference(cp,[status(thm)],[eq_81,eq_82]) ).
cnf(eq_84,plain,
join(sk1,meet(A,sk3)) = meet(sk3,join(sk1,meet(A,sk3))),
eq_83 ).
cnf(eq_85,plain,
complement(join(A,x101)) = complement(join(x101,complement(complement(A)))),
inference(cp,[status(thm)],[eq_59,eq_69]) ).
cnf(eq_86,plain,
complement(join(A,B)) = complement(join(B,A)),
inference(rw,[status(thm)],[eq_85,eq_59]) ).
cnf(eq_87,plain,
meet(sk3,join(sk1,meet(sk3,B))) = join(sk1,meet(B,sk3)),
inference(cp,[status(thm)],[eq_40,eq_84]) ).
cnf(eq_88,plain,
join(sk1,meet(A,sk3)) = meet(sk3,join(sk1,meet(sk3,A))),
eq_87 ).
cnf(eq_89,plain,
complement(join(complement(join(sk2,A)),complement(join(A,sk1)))) = join(sk1,A),
inference(cp,[status(thm)],[eq_0,eq_74]) ).
cnf(eq_90,plain,
join(sk1,A) = complement(join(complement(join(sk2,A)),complement(join(A,sk1)))),
eq_89 ).
cnf(eq_91,negated_conjecture,
meet(sk3,join(sk1,meet(sk3,sk2))) != meet(sk2,sk3),
inference(cp,[status(thm)],[eq_88,eq_12]) ).
cnf(eq_92,negated_conjecture,
meet(sk2,sk3) != meet(sk3,join(sk1,meet(sk3,sk2))),
eq_91 ).
cnf(eq_93,negated_conjecture,
complement(join(complement(sk2),complement(sk3))) != complement(join(complement(sk3),complement(join(complement(join(complement(sk2),complement(sk3))),sk1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_3]),eq_3]),eq_0]),eq_0]),eq_3]) ).
cnf(eq_94,negated_conjecture,
complement(join(complement(sk3),complement(join(sk1,complement(join(complement(sk2),complement(sk3))))))) != complement(join(complement(sk2),complement(sk3))),
inference(cp,[status(thm)],[eq_86,eq_93]) ).
cnf(eq_95,negated_conjecture,
complement(join(complement(sk3),complement(complement(join(complement(join(sk2,complement(join(complement(sk2),complement(sk3))))),complement(join(complement(join(complement(sk2),complement(sk3))),sk1))))))) != complement(join(complement(sk2),complement(sk3))),
inference(cp,[status(thm)],[eq_90,eq_94]) ).
cnf(eq_96,negated_conjecture,
complement(join(complement(sk2),complement(sk3))) != complement(join(complement(sk2),complement(sk3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_72]),eq_59]),eq_76]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n006.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 05:42:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 118.22/118.42 % SZS status Unsatisfiable
% 118.22/118.42 % SZS output start CNFRefutation for /tmp/MaedMax_9033
% See solution above
% 118.22/118.42
%------------------------------------------------------------------------------