TSTP Solution File: REL005-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 13.90s 14.09s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 12
% Syntax : Number of clauses : 118 ( 118 unt; 0 nHn; 32 RR)
% Number of literals : 118 ( 117 equ; 12 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 132 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_32717') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_32717') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_32717') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_32717') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_32717') ).
cnf(eq_5,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_32717') ).
cnf(eq_6,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_32717') ).
cnf(eq_7,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_32717') ).
cnf(eq_8,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_32717') ).
cnf(eq_9,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_32717') ).
cnf(eq_10,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_32717') ).
cnf(eq_11,negated_conjecture,
meet(converse(sk1),converse(sk2)) != converse(meet(sk1,sk2)),
file('/tmp/MaedMax_32717') ).
cnf(eq_12,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_3]),eq_9]) ).
cnf(eq_13,negated_conjecture,
complement(join(complement(converse(sk2)),complement(converse(sk1)))) != converse(complement(join(complement(sk2),complement(sk1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_0]),eq_3]),eq_0]) ).
cnf(eq_14,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_9]) ).
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_9,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_9,eq_2]) ).
cnf(eq_19,plain,
join(complement(join(complement(x101),complement(x100))),complement(join(complement(x100),x101))) = x100,
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_20,plain,
join(converse(x101),converse(x100)) = converse(join(x100,x101)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_21,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_22,plain,
join(converse(x100),A) = converse(join(x100,converse(A))),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_23,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
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,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_21 ).
cnf(eq_26,plain,
composition(converse(one),converse(A)) = converse(A),
eq_23 ).
cnf(eq_27,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_18 ).
cnf(eq_28,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_24 ).
cnf(eq_29,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_16 ).
cnf(eq_30,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_19 ).
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,
converse(join(A,B)) = converse(join(B,A)),
inference(rw,[status(thm)],[eq_20,eq_6]) ).
cnf(eq_33,plain,
join(converse(A),B) = converse(join(A,converse(B))),
eq_22 ).
cnf(eq_34,plain,
complement(join(zero,complement(x101))) = meet(top,x101),
inference(cp,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_35,plain,
meet(top,zero) = zero,
inference(cp,[status(thm)],[eq_12,eq_10]) ).
cnf(eq_36,plain,
join(A,join(complement(A),B)) = join(x101,join(complement(x101),B)),
inference(cp,[status(thm)],[eq_29,eq_29]) ).
cnf(eq_37,plain,
complement(join(A,join(B,complement(join(A,B))))) = zero,
inference(cp,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_38,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_26]) ).
cnf(eq_39,plain,
converse(join(A,join(complement(A),converse(x101)))) = join(converse(top),x101),
inference(cp,[status(thm)],[eq_29,eq_33]) ).
cnf(eq_40,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_9,eq_25]) ).
cnf(eq_41,plain,
join(A,join(complement(A),B)) = join(C,join(complement(C),B)),
eq_36 ).
cnf(eq_42,plain,
join(A,B) = join(meet(A,C),join(complement(join(complement(A),C)),B)),
inference(rw,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_43,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_38,eq_5]) ).
cnf(eq_44,plain,
A = join(meet(B,A),complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_45,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_40 ).
cnf(eq_46,plain,
join(converse(top),A) = converse(join(B,join(complement(B),converse(A)))),
eq_39 ).
cnf(eq_47,plain,
complement(join(zero,complement(A))) = meet(top,A),
eq_34 ).
cnf(eq_48,plain,
A = join(zero,meet(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_12]),eq_3]) ).
cnf(eq_49,plain,
join(converse(A),converse(B)) = join(converse(B),converse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_6]),eq_6]) ).
cnf(eq_50,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_12,eq_27]) ).
cnf(eq_51,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_12]),eq_12]) ).
cnf(eq_52,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_43,eq_4]) ).
cnf(eq_53,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_51,eq_12]) ).
cnf(eq_54,plain,
complement(join(zero,complement(zero))) = zero,
inference(cp,[status(thm)],[eq_47,eq_35]) ).
cnf(eq_55,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_43,eq_52]) ).
cnf(eq_56,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_55,eq_8]) ).
cnf(eq_57,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_52]),eq_55]) ).
cnf(eq_58,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_53,eq_57]) ).
cnf(eq_59,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_53]),eq_53]) ).
cnf(eq_60,plain,
top = join(zero,complement(zero)),
inference(rw,[status(thm)],[eq_51,eq_59]) ).
cnf(eq_61,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_60]),eq_57]),eq_54]) ).
cnf(eq_62,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_59,eq_1]) ).
cnf(eq_63,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_57,eq_3]) ).
cnf(eq_64,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_62 ).
cnf(eq_65,plain,
join(A,join(zero,zero)) = join(zero,A),
inference(cp,[status(thm)],[eq_28,eq_64]) ).
cnf(eq_66,plain,
join(zero,A) = join(zero,meet(A,A)),
inference(cp,[status(thm)],[eq_48,eq_64]) ).
cnf(eq_67,plain,
complement(join(complement(A),join(complement(A),complement(complement(A))))) = zero,
inference(cp,[status(thm)],[eq_57,eq_37]) ).
cnf(eq_68,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_66,eq_48]) ).
cnf(eq_69,plain,
join(A,zero) = join(zero,A),
inference(rw,[status(thm)],[eq_65,eq_59]) ).
cnf(eq_70,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_68]),eq_68]) ).
cnf(eq_71,plain,
A = meet(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_63]),eq_68]) ).
cnf(eq_72,plain,
join(A,complement(A)) = complement(zero),
inference(rw,[status(thm)],[eq_9,eq_70]) ).
cnf(eq_73,plain,
A = join(A,zero),
inference(rw,[status(thm)],[eq_69,eq_68]) ).
cnf(eq_74,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_63,eq_71]) ).
cnf(eq_75,plain,
join(complement(complement(A)),A) = complement(complement(A)),
inference(cp,[status(thm)],[eq_74,eq_57]) ).
cnf(eq_76,plain,
meet(A,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_74]),eq_0]),eq_72]),eq_3]) ).
cnf(eq_77,plain,
A = join(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_74]),eq_74]) ).
cnf(eq_78,plain,
join(zero,complement(join(complement(zero),A))) = zero,
inference(cp,[status(thm)],[eq_76,eq_44]) ).
cnf(eq_79,plain,
join(x100,A) = join(A,join(x100,A)),
inference(cp,[status(thm)],[eq_77,eq_28]) ).
cnf(eq_80,plain,
complement(join(complement(zero),A)) = zero,
inference(rw,[status(thm)],[eq_78,eq_68]) ).
cnf(eq_81,plain,
join(A,B) = join(B,join(A,B)),
eq_79 ).
cnf(eq_82,plain,
join(join(complement(zero),A),zero) = complement(zero),
inference(cp,[status(thm)],[eq_80,eq_72]) ).
cnf(eq_83,plain,
join(A,join(complement(A),B)) = join(complement(B),B),
inference(cp,[status(thm)],[eq_41,eq_81]) ).
cnf(eq_84,plain,
join(complement(join(complement(A),B)),A) = join(meet(B,A),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_44,eq_81]) ).
cnf(eq_85,plain,
join(complement(zero),A) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_1]),eq_73]) ).
cnf(eq_86,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_0]),eq_44]) ).
cnf(eq_87,plain,
join(A,join(complement(A),B)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_0]),eq_72]) ).
cnf(eq_88,negated_conjecture,
converse(complement(join(meet(complement(sk2),C),join(complement(join(complement(complement(sk2)),C)),complement(sk1))))) != complement(join(complement(converse(sk2)),complement(converse(sk1)))),
inference(cp,[status(thm)],[eq_42,eq_13]) ).
cnf(eq_89,negated_conjecture,
meet(converse(sk1),converse(sk2)) != converse(complement(join(complement(sk1),join(meet(complement(sk2),A),complement(join(sk2,A)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_74]),eq_0]),eq_31]),eq_0]),eq_3]) ).
cnf(eq_90,plain,
join(converse(complement(zero)),A) = converse(complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_70]),eq_87]) ).
cnf(eq_91,negated_conjecture,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != converse(complement(join(complement(sk1),join(complement(join(sk2,A)),complement(join(sk2,complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_3]),eq_3]),eq_74]),eq_0]) ).
cnf(eq_92,plain,
converse(complement(zero)) = complement(zero),
inference(cp,[status(thm)],[eq_90,eq_87]) ).
cnf(eq_93,plain,
join(A,converse(complement(converse(A)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_70]),eq_92]) ).
cnf(eq_94,plain,
join(complement(zero),x102) = join(A,join(converse(complement(converse(A))),x102)),
inference(cp,[status(thm)],[eq_93,eq_1]) ).
cnf(eq_95,plain,
join(complement(join(complement(converse(complement(converse(complement(x101))))),complement(x101))),complement(complement(zero))) = x101,
inference(cp,[status(thm)],[eq_93,eq_30]) ).
cnf(eq_96,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_95,eq_0]),eq_74]),eq_73]) ).
cnf(eq_97,plain,
join(A,join(converse(complement(converse(A))),B)) = complement(zero),
inference(rw,[status(thm)],[eq_94,eq_85]) ).
cnf(eq_98,negated_conjecture,
converse(complement(join(complement(sk1),join(complement(complement(zero)),complement(join(sk2,complement(join(converse(complement(converse(sk2))),B)))))))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(cp,[status(thm)],[eq_97,eq_91]) ).
cnf(eq_99,negated_conjecture,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != converse(complement(join(complement(sk1),complement(join(sk2,complement(join(converse(complement(converse(sk2))),A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_74]),eq_68]) ).
cnf(eq_100,negated_conjecture,
converse(complement(join(complement(sk1),complement(join(sk2,complement(join(converse(A),converse(complement(converse(sk2)))))))))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(cp,[status(thm)],[eq_49,eq_99]) ).
cnf(eq_101,negated_conjecture,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != converse(complement(join(complement(sk1),complement(join(sk2,complement(join(converse(A),converse(complement(converse(sk2)))))))))),
eq_100 ).
cnf(eq_102,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_74,eq_96]) ).
cnf(eq_103,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_102,eq_74]) ).
cnf(eq_104,negated_conjecture,
complement(join(complement(converse(sk2)),complement(converse(sk1)))) != converse(complement(join(complement(sk1),complement(join(sk2,complement(join(converse(A),converse(complement(converse(sk2)))))))))),
inference(rw,[status(thm)],[eq_101,eq_0]) ).
cnf(eq_105,plain,
complement(complement(A)) = join(A,complement(converse(complement(converse(A))))),
inference(cp,[status(thm)],[eq_103,eq_74]) ).
cnf(eq_106,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_105,eq_74]) ).
cnf(eq_107,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_5,eq_106]) ).
cnf(eq_108,plain,
join(converse(complement(A)),complement(converse(A))) = converse(complement(A)),
inference(cp,[status(thm)],[eq_74,eq_107]) ).
cnf(eq_109,plain,
converse(converse(A)) = join(converse(converse(A)),converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_107,eq_6]) ).
cnf(eq_110,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(rw,[status(thm)],[eq_108,eq_0]) ).
cnf(eq_111,plain,
A = join(A,converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_5]),eq_5]) ).
cnf(eq_112,plain,
join(complement(A),converse(complement(converse(A)))) = complement(A),
inference(cp,[status(thm)],[eq_74,eq_111]) ).
cnf(eq_113,negated_conjecture,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != converse(complement(join(complement(sk1),complement(join(sk2,complement(converse(join(A,complement(converse(sk2)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_104,eq_0]),eq_33]),eq_5]) ).
cnf(eq_114,plain,
join(complement(converse(A)),converse(complement(A))) = complement(converse(A)),
inference(cp,[status(thm)],[eq_5,eq_112]) ).
cnf(eq_115,plain,
complement(converse(A)) = converse(complement(A)),
inference(rw,[status(thm)],[eq_114,eq_110]) ).
cnf(eq_116,negated_conjecture,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != complement(join(complement(converse(sk1)),complement(converse(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)],[eq_113,eq_6]),eq_115]),eq_5]),eq_0]),eq_86]),eq_115]),eq_6]),eq_115]),eq_115]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 05:41:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 13.90/14.09 % SZS status Unsatisfiable
% 13.90/14.09 % SZS output start CNFRefutation for /tmp/MaedMax_32717
% See solution above
% 13.90/14.09
%------------------------------------------------------------------------------