TSTP Solution File: REL006-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL006-1 : 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 07:11:33 EDT 2022
% Result : Unsatisfiable 6.08s 6.26s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of clauses : 128 ( 128 unt; 0 nHn; 40 RR)
% Number of literals : 128 ( 127 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 140 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_18824') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_18824') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_18824') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_18824') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_18824') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_18824') ).
cnf(eq_6,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_18824') ).
cnf(eq_7,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_18824') ).
cnf(eq_8,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_18824') ).
cnf(eq_9,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_18824') ).
cnf(eq_10,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_18824') ).
cnf(eq_11,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_18824') ).
cnf(eq_12,axiom,
meet(converse(sk1),sk2) = zero,
file('/tmp/MaedMax_18824') ).
cnf(eq_13,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
file('/tmp/MaedMax_18824') ).
cnf(eq_14,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_10]) ).
cnf(eq_15,plain,
complement(join(complement(sk2),complement(converse(sk1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_3]),eq_0]) ).
cnf(eq_16,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_17,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_18,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_10,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(complement(join(complement(A),complement(complement(B)))),meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_21,plain,
join(complement(join(complement(x100),complement(complement(complement(x100))))),complement(top)) = x100,
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_22,plain,
join(composition(converse(composition(A,B)),complement(composition(A,composition(B,C)))),complement(C)) = complement(C),
inference(cp,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_23,plain,
join(converse(x101),converse(x100)) = converse(join(x100,x101)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_24,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_25,plain,
join(converse(x100),A) = converse(join(x100,converse(A))),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_26,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_27,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_28,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_29,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_24 ).
cnf(eq_30,plain,
composition(converse(one),converse(A)) = converse(A),
eq_26 ).
cnf(eq_31,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_18 ).
cnf(eq_32,plain,
join(A,join(B,C)) = join(B,join(C,A)),
eq_27 ).
cnf(eq_33,plain,
A = join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_34,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_17 ).
cnf(eq_35,plain,
join(complement(A),composition(converse(B),composition(converse(C),complement(composition(C,composition(B,A)))))) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_8]),eq_4]),eq_0]) ).
cnf(eq_36,plain,
A = join(complement(join(complement(B),complement(A))),complement(join(complement(A),B))),
eq_19 ).
cnf(eq_37,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(rw,[status(thm)],[eq_23,eq_7]) ).
cnf(eq_38,plain,
join(converse(A),B) = converse(join(A,converse(B))),
eq_25 ).
cnf(eq_39,negated_conjecture,
meet(A,complement(A)) != meet(sk1,converse(sk2)),
inference(cp,[status(thm)],[eq_11,eq_13]) ).
cnf(eq_40,negated_conjecture,
complement(join(complement(converse(sk2)),complement(sk1))) != complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_3]),eq_10]),eq_3]),eq_0]) ).
cnf(eq_41,plain,
meet(sk2,converse(sk1)) = zero,
inference(rw,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_42,plain,
join(A,join(complement(A),complement(top))) = top,
inference(cp,[status(thm)],[eq_34,eq_10]) ).
cnf(eq_43,plain,
join(B,join(A,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_44,plain,
join(join(complement(B),x101),B) = join(top,x101),
inference(cp,[status(thm)],[eq_0,eq_34]) ).
cnf(eq_45,plain,
join(zero,complement(join(complement(sk2),converse(sk1)))) = sk2,
inference(cp,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_46,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_6,eq_30]) ).
cnf(eq_47,plain,
converse(join(A,join(B,C))) = converse(join(C,join(A,B))),
inference(cp,[status(thm)],[eq_1,eq_37]) ).
cnf(eq_48,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_10,eq_29]) ).
cnf(eq_49,plain,
converse(join(converse(join(B,A)),x101)) = join(join(A,B),converse(x101)),
inference(cp,[status(thm)],[eq_37,eq_29]) ).
cnf(eq_50,plain,
join(A,join(B,complement(join(B,A)))) = top,
eq_43 ).
cnf(eq_51,plain,
join(complement(A),join(B,A)) = join(top,B),
inference(rw,[status(thm)],[eq_44,eq_1]) ).
cnf(eq_52,plain,
converse(join(A,join(B,C))) = converse(join(B,join(C,A))),
eq_47 ).
cnf(eq_53,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_46,eq_6]) ).
cnf(eq_54,plain,
A = join(meet(B,A),complement(join(complement(A),B))),
inference(rw,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_55,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_48 ).
cnf(eq_56,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_57,plain,
A = join(meet(A,B),meet(A,complement(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_3]),eq_0]) ).
cnf(eq_58,plain,
A = join(zero,meet(A,complement(complement(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_14]),eq_3]) ).
cnf(eq_59,plain,
join(complement(top),complement(join(complement(top),zero))) = top,
inference(cp,[status(thm)],[eq_14,eq_31]) ).
cnf(eq_60,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_14]),eq_14]) ).
cnf(eq_61,plain,
join(A,join(zero,complement(A))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_14]),eq_0]) ).
cnf(eq_62,plain,
join(A,join(B,converse(C))) = join(B,join(A,converse(C))),
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_49,eq_7]),eq_1]),eq_7]),eq_6]),eq_7]),eq_6]),eq_1]) ).
cnf(eq_63,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_53,eq_5]) ).
cnf(eq_64,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(cp,[status(thm)],[eq_60,eq_14]) ).
cnf(eq_65,plain,
zero = meet(complement(A),A),
inference(cp,[status(thm)],[eq_11,eq_56]) ).
cnf(eq_66,plain,
meet(A,complement(A)) = meet(sk2,converse(sk1)),
inference(cp,[status(thm)],[eq_11,eq_41]) ).
cnf(eq_67,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_53,eq_63]) ).
cnf(eq_68,plain,
meet(complement(A),A) = zero,
eq_65 ).
cnf(eq_69,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_67,eq_9]) ).
cnf(eq_70,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_63]),eq_67]) ).
cnf(eq_71,plain,
complement(complement(A)) = meet(A,A),
inference(cp,[status(thm)],[eq_70,eq_3]) ).
cnf(eq_72,plain,
join(x100,complement(A)) = join(complement(A),join(x100,complement(A))),
inference(cp,[status(thm)],[eq_70,eq_32]) ).
cnf(eq_73,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_64,eq_70]) ).
cnf(eq_74,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_64]),eq_64]) ).
cnf(eq_75,plain,
join(A,complement(B)) = join(complement(B),join(A,complement(B))),
eq_72 ).
cnf(eq_76,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_74,eq_1]) ).
cnf(eq_77,plain,
meet(meet(A,A),complement(A)) = zero,
inference(cp,[status(thm)],[eq_71,eq_68]) ).
cnf(eq_78,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_76 ).
cnf(eq_79,plain,
join(zero,A) = join(zero,meet(A,complement(complement(A)))),
inference(cp,[status(thm)],[eq_58,eq_78]) ).
cnf(eq_80,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_79,eq_58]) ).
cnf(eq_81,plain,
join(complement(complement(A)),meet(A,complement(A))) = A,
inference(cp,[status(thm)],[eq_71,eq_57]) ).
cnf(eq_82,plain,
A = join(complement(complement(A)),meet(A,complement(A))),
eq_81 ).
cnf(eq_83,plain,
A = join(meet(A,A),meet(sk2,converse(sk1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_71]),eq_66]) ).
cnf(eq_84,plain,
meet(meet(A,A),complement(A)) = meet(sk2,converse(sk1)),
inference(rw,[status(thm)],[eq_77,eq_41]) ).
cnf(eq_85,plain,
join(complement(join(complement(A),B)),A) = join(meet(B,A),complement(join(complement(A),B))),
inference(cp,[status(thm)],[eq_54,eq_75]) ).
cnf(eq_86,plain,
A = join(A,complement(join(complement(A),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_0]),eq_54]) ).
cnf(eq_87,plain,
join(A,meet(A,B)) = A,
inference(cp,[status(thm)],[eq_3,eq_86]) ).
cnf(eq_88,plain,
join(A,complement(complement(A))) = A,
inference(cp,[status(thm)],[eq_35,eq_86]) ).
cnf(eq_89,plain,
join(B,complement(join(A,complement(B)))) = B,
inference(cp,[status(thm)],[eq_75,eq_86]) ).
cnf(eq_90,plain,
A = join(A,complement(join(B,complement(A)))),
eq_89 ).
cnf(eq_91,plain,
join(A,zero) = A,
inference(cp,[status(thm)],[eq_11,eq_87]) ).
cnf(eq_92,plain,
join(meet(A,A),meet(sk2,converse(sk1))) = meet(A,A),
inference(cp,[status(thm)],[eq_84,eq_87]) ).
cnf(eq_93,plain,
A = meet(A,A),
inference(rw,[status(thm)],[eq_92,eq_83]) ).
cnf(eq_94,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_3]),eq_70]) ).
cnf(eq_95,plain,
join(complement(A),complement(join(x101,A))) = complement(A),
inference(cp,[status(thm)],[eq_94,eq_90]) ).
cnf(eq_96,plain,
join(A,A) = A,
inference(cp,[status(thm)],[eq_94,eq_88]) ).
cnf(eq_97,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_95 ).
cnf(eq_98,plain,
join(A,join(A,complement(A))) = top,
inference(cp,[status(thm)],[eq_96,eq_50]) ).
cnf(eq_99,plain,
join(join(complement(zero),B),zero) = top,
inference(cp,[status(thm)],[eq_86,eq_61]) ).
cnf(eq_100,plain,
join(top,A) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_1]),eq_51]) ).
cnf(eq_101,plain,
join(A,top) = top,
inference(rw,[status(thm)],[eq_98,eq_10]) ).
cnf(eq_102,plain,
complement(join(complement(sk2),converse(sk1))) = sk2,
inference(cp,[status(thm)],[eq_80,eq_45]) ).
cnf(eq_103,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_55,eq_100]) ).
cnf(eq_104,plain,
join(A,converse(complement(converse(A)))) = top,
inference(rw,[status(thm)],[eq_55,eq_103]) ).
cnf(eq_105,plain,
join(complement(A),join(B,A)) = top,
inference(rw,[status(thm)],[eq_51,eq_100]) ).
cnf(eq_106,plain,
complement(sk2) = join(complement(sk2),converse(sk1)),
inference(cp,[status(thm)],[eq_102,eq_94]) ).
cnf(eq_107,plain,
join(complement(sk2),converse(sk1)) = complement(sk2),
eq_106 ).
cnf(eq_108,plain,
converse(complement(sk2)) = join(converse(complement(sk2)),converse(converse(sk1))),
inference(cp,[status(thm)],[eq_107,eq_7]) ).
cnf(eq_109,plain,
join(converse(complement(sk2)),sk1) = converse(complement(sk2)),
inference(rw,[status(thm)],[eq_108,eq_6]) ).
cnf(eq_110,plain,
join(complement(sk1),converse(complement(sk2))) = top,
inference(cp,[status(thm)],[eq_109,eq_105]) ).
cnf(eq_111,plain,
join(converse(complement(sk2)),complement(sk1)) = top,
inference(rw,[status(thm)],[eq_110,eq_0]) ).
cnf(eq_112,plain,
converse(top) = join(converse(converse(complement(sk2))),converse(complement(sk1))),
inference(cp,[status(thm)],[eq_111,eq_7]) ).
cnf(eq_113,plain,
join(complement(sk2),converse(complement(sk1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_112,eq_103]),eq_6]) ).
cnf(eq_114,plain,
join(complement(join(complement(converse(complement(sk1))),complement(sk2))),complement(top)) = sk2,
inference(cp,[status(thm)],[eq_113,eq_36]) ).
cnf(eq_115,plain,
complement(join(complement(sk2),complement(converse(complement(sk1))))) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_114,eq_0]),eq_14]),eq_91]) ).
cnf(eq_116,plain,
converse(join(x100,converse(top))) = converse(join(converse(complement(converse(A))),join(x100,A))),
inference(cp,[status(thm)],[eq_55,eq_52]) ).
cnf(eq_117,plain,
join(complement(converse(A)),converse(join(B,A))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_116,eq_103]),eq_101]),eq_103]),eq_38]),eq_6]) ).
cnf(eq_118,plain,
join(x100,top) = join(A,join(x100,converse(complement(converse(A))))),
inference(cp,[status(thm)],[eq_104,eq_62]) ).
cnf(eq_119,plain,
join(A,join(B,converse(complement(converse(A))))) = top,
inference(rw,[status(thm)],[eq_118,eq_101]) ).
cnf(eq_120,plain,
join(complement(complement(converse(complement(sk1)))),sk2) = complement(complement(converse(complement(sk1)))),
inference(cp,[status(thm)],[eq_115,eq_97]) ).
cnf(eq_121,plain,
join(sk2,converse(complement(sk1))) = converse(complement(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_120,eq_94]),eq_38]),eq_0]),eq_38]),eq_6]),eq_94]) ).
cnf(eq_122,plain,
join(complement(converse(A)),converse(join(A,B))) = top,
inference(cp,[status(thm)],[eq_0,eq_117]) ).
cnf(eq_123,plain,
join(complement(converse(sk2)),converse(converse(complement(sk1)))) = top,
inference(cp,[status(thm)],[eq_121,eq_122]) ).
cnf(eq_124,plain,
join(complement(converse(sk2)),complement(sk1)) = top,
inference(rw,[status(thm)],[eq_123,eq_6]) ).
cnf(eq_125,negated_conjecture,
complement(join(A,join(B,converse(complement(converse(A)))))) != complement(join(complement(converse(sk2)),complement(sk1))),
inference(cp,[status(thm)],[eq_119,eq_40]) ).
cnf(eq_126,negated_conjecture,
zero != zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_119]),eq_14]),eq_124]),eq_14]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n016.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 06:04:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.08/6.26 % SZS status Unsatisfiable
% 6.08/6.26 % SZS output start CNFRefutation for /tmp/MaedMax_18824
% See solution above
% 6.08/6.26
%------------------------------------------------------------------------------