TSTP Solution File: REL004-2 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL004-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 8.00s 8.25s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 27 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 106 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_20769') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_20769') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_20769') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_20769') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_20769') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_20769') ).
cnf(eq_6,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_20769') ).
cnf(eq_7,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_20769') ).
cnf(eq_8,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_20769') ).
cnf(eq_9,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_20769') ).
cnf(eq_10,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_20769') ).
cnf(eq_11,negated_conjecture,
complement(converse(sk1)) != converse(complement(sk1)),
file('/tmp/MaedMax_20769') ).
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(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_14,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_15,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_16,plain,
join(composition(converse(A),complement(A)),complement(one)) = complement(one),
inference(cp,[status(thm)],[eq_4,eq_8]) ).
cnf(eq_17,plain,
join(converse(x101),converse(x100)) = converse(join(x100,x101)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_18,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_19,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_20,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_21,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_22,plain,
converse(complement(B)) = join(converse(composition(converse(A),complement(composition(A,B)))),converse(complement(B))),
inference(cp,[status(thm)],[eq_8,eq_6]) ).
cnf(eq_23,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_18 ).
cnf(eq_24,plain,
composition(converse(one),converse(A)) = converse(A),
eq_19 ).
cnf(eq_25,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_13 ).
cnf(eq_26,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_20 ).
cnf(eq_27,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_28,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_14 ).
cnf(eq_29,plain,
join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)) = converse(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_7]),eq_5]),eq_0]) ).
cnf(eq_30,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(rw,[status(thm)],[eq_17,eq_6]) ).
cnf(eq_31,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_24]) ).
cnf(eq_32,plain,
converse(complement(one)) = converse(join(complement(one),composition(converse(A),complement(A)))),
inference(cp,[status(thm)],[eq_16,eq_30]) ).
cnf(eq_33,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_9,eq_23]) ).
cnf(eq_34,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_35,plain,
A = join(meet(B,A),complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_36,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_33 ).
cnf(eq_37,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_38,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_12]),eq_3]) ).
cnf(eq_39,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_12,eq_25]) ).
cnf(eq_40,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_12]),eq_12]) ).
cnf(eq_41,plain,
join(converse(complement(one)),composition(converse(complement(A)),A)) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_6]),eq_7]),eq_5]) ).
cnf(eq_42,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_34,eq_4]) ).
cnf(eq_43,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_40,eq_12]) ).
cnf(eq_44,plain,
zero = meet(complement(A),A),
inference(cp,[status(thm)],[eq_10,eq_37]) ).
cnf(eq_45,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_34,eq_42]) ).
cnf(eq_46,plain,
meet(complement(A),A) = zero,
eq_44 ).
cnf(eq_47,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_45,eq_8]) ).
cnf(eq_48,plain,
join(converse(complement(A)),composition(converse(complement(A)),one)) = converse(complement(A)),
inference(cp,[status(thm)],[eq_45,eq_29]) ).
cnf(eq_49,plain,
join(converse(complement(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_48,eq_4]) ).
cnf(eq_50,plain,
join(converse(complement(join(zero,complement(join(zero,zero))))),converse(zero)) = converse(complement(join(zero,complement(join(zero,zero))))),
inference(cp,[status(thm)],[eq_43,eq_49]) ).
cnf(eq_51,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_42]),eq_45]) ).
cnf(eq_52,plain,
join(converse(zero),converse(zero)) = converse(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_43]),eq_43]) ).
cnf(eq_53,plain,
converse(converse(zero)) = join(converse(converse(zero)),converse(converse(zero))),
inference(cp,[status(thm)],[eq_52,eq_6]) ).
cnf(eq_54,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_5]),eq_5]),eq_5]) ).
cnf(eq_55,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_56,plain,
join(meet(complement(A),A),complement(complement(A))) = A,
inference(cp,[status(thm)],[eq_51,eq_35]) ).
cnf(eq_57,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_51,eq_3]) ).
cnf(eq_58,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_3]),eq_3]) ).
cnf(eq_59,plain,
A = join(meet(complement(A),A),complement(complement(A))),
eq_56 ).
cnf(eq_60,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_54,eq_1]) ).
cnf(eq_61,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_60 ).
cnf(eq_62,plain,
join(zero,A) = join(A,join(zero,zero)),
inference(cp,[status(thm)],[eq_61,eq_26]) ).
cnf(eq_63,plain,
join(zero,A) = join(zero,meet(A,complement(complement(A)))),
inference(cp,[status(thm)],[eq_38,eq_61]) ).
cnf(eq_64,plain,
join(A,zero) = join(zero,A),
inference(rw,[status(thm)],[eq_62,eq_54]) ).
cnf(eq_65,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_63,eq_38]) ).
cnf(eq_66,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_65]),eq_65]) ).
cnf(eq_67,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_46]),eq_65]) ).
cnf(eq_68,plain,
join(A,complement(A)) = complement(zero),
inference(rw,[status(thm)],[eq_9,eq_66]) ).
cnf(eq_69,plain,
A = join(A,zero),
inference(rw,[status(thm)],[eq_64,eq_65]) ).
cnf(eq_70,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_46]),eq_57]),eq_65]) ).
cnf(eq_71,plain,
converse(complement(zero)) = join(converse(A),converse(complement(A))),
inference(cp,[status(thm)],[eq_68,eq_6]) ).
cnf(eq_72,plain,
join(converse(A),converse(complement(A))) = converse(complement(zero)),
eq_71 ).
cnf(eq_73,plain,
join(A,meet(A,A)) = meet(A,A),
inference(cp,[status(thm)],[eq_70,eq_58]) ).
cnf(eq_74,plain,
join(converse(complement(one)),composition(converse(A),complement(A))) = converse(complement(one)),
inference(cp,[status(thm)],[eq_67,eq_41]) ).
cnf(eq_75,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_70]),eq_70]) ).
cnf(eq_76,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_75,eq_26]) ).
cnf(eq_77,plain,
join(A,B) = join(B,join(A,B)),
eq_76 ).
cnf(eq_78,plain,
join(converse(complement(one)),composition(one,complement(one))) = converse(complement(one)),
inference(cp,[status(thm)],[eq_42,eq_74]) ).
cnf(eq_79,plain,
join(complement(one),converse(complement(one))) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_45]),eq_0]) ).
cnf(eq_80,plain,
join(complement(join(complement(A),B)),A) = join(meet(B,A),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_35,eq_77]) ).
cnf(eq_81,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_0]),eq_35]) ).
cnf(eq_82,plain,
join(x100,complement(join(A,complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_0,eq_81]) ).
cnf(eq_83,plain,
A = join(A,complement(join(B,complement(A)))),
eq_82 ).
cnf(eq_84,plain,
join(one,converse(complement(one))) = converse(complement(zero)),
inference(cp,[status(thm)],[eq_42,eq_72]) ).
cnf(eq_85,plain,
join(complement(A),complement(join(x101,A))) = complement(A),
inference(cp,[status(thm)],[eq_67,eq_83]) ).
cnf(eq_86,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_85 ).
cnf(eq_87,plain,
converse(converse(complement(one))) = join(converse(complement(one)),converse(converse(complement(one)))),
inference(cp,[status(thm)],[eq_79,eq_6]) ).
cnf(eq_88,plain,
complement(one) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_5]),eq_5]),eq_0]),eq_79]) ).
cnf(eq_89,plain,
converse(complement(A)) = join(converse(complement(A)),converse(complement(join(B,A)))),
inference(cp,[status(thm)],[eq_86,eq_6]) ).
cnf(eq_90,plain,
join(converse(complement(A)),converse(complement(join(B,A)))) = converse(complement(A)),
eq_89 ).
cnf(eq_91,plain,
converse(complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_88]),eq_68]) ).
cnf(eq_92,plain,
join(A,converse(complement(converse(A)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_66]),eq_91]) ).
cnf(eq_93,plain,
join(complement(join(complement(converse(complement(converse(complement(x101))))),complement(x101))),complement(complement(zero))) = x101,
inference(cp,[status(thm)],[eq_92,eq_28]) ).
cnf(eq_94,plain,
A = complement(join(complement(A),complement(converse(complement(converse(complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_0]),eq_67]),eq_69]) ).
cnf(eq_95,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_67,eq_94]) ).
cnf(eq_96,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_95,eq_67]) ).
cnf(eq_97,plain,
join(converse(complement(complement(converse(complement(converse(A)))))),converse(complement(A))) = converse(complement(complement(converse(complement(converse(A)))))),
inference(cp,[status(thm)],[eq_96,eq_90]) ).
cnf(eq_98,plain,
join(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_67]),eq_5]),eq_67]),eq_5]) ).
cnf(eq_99,plain,
join(complement(A),converse(complement(converse(A)))) = complement(converse(converse(A))),
inference(cp,[status(thm)],[eq_5,eq_98]) ).
cnf(eq_100,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(rw,[status(thm)],[eq_99,eq_5]) ).
cnf(eq_101,plain,
converse(complement(A)) = join(converse(complement(A)),converse(converse(complement(converse(A))))),
inference(cp,[status(thm)],[eq_100,eq_6]) ).
cnf(eq_102,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_5]),eq_0]),eq_98]) ).
cnf(eq_103,negated_conjecture,
complement(converse(sk1)) != complement(converse(sk1)),
inference(cp,[status(thm)],[eq_102,eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL004-2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 05:38:52 EDT 2022
% 0.12/0.35 % CPUTime :
% 8.00/8.25 % SZS status Unsatisfiable
% 8.00/8.25 % SZS output start CNFRefutation for /tmp/MaedMax_20769
% See solution above
% 8.00/8.25
%------------------------------------------------------------------------------