TSTP Solution File: REL012-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL012-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 07:11:34 EDT 2022
% Result : Unsatisfiable 157.26s 157.50s
% Output : CNFRefutation 157.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of clauses : 101 ( 101 unt; 0 nHn; 17 RR)
% Number of literals : 101 ( 100 equ; 6 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 : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 120 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_18884') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_18884') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_18884') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_18884') ).
cnf(eq_4,axiom,
composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/tmp/MaedMax_18884') ).
cnf(eq_5,axiom,
A = composition(A,one),
file('/tmp/MaedMax_18884') ).
cnf(eq_6,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_18884') ).
cnf(eq_7,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_18884') ).
cnf(eq_8,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_18884') ).
cnf(eq_9,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_18884') ).
cnf(eq_10,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_18884') ).
cnf(eq_11,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_18884') ).
cnf(eq_12,negated_conjecture,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
file('/tmp/MaedMax_18884') ).
cnf(eq_13,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_10]) ).
cnf(eq_14,negated_conjecture,
join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))) != complement(sk1),
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_15,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_16,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_10,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(composition(A,complement(composition(converse(A),x101))),complement(x101)) = complement(x101),
inference(cp,[status(thm)],[eq_6,eq_9]) ).
cnf(eq_19,plain,
join(converse(x101),converse(x100)) = converse(join(x100,x101)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_20,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_21,plain,
join(converse(x100),A) = converse(join(x100,converse(A))),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_22,plain,
composition(A,x102) = composition(A,composition(one,x102)),
inference(cp,[status(thm)],[eq_5,eq_4]) ).
cnf(eq_23,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_24,plain,
converse(join(A,B)) = converse(join(B,A)),
inference(rw,[status(thm)],[eq_19,eq_7]) ).
cnf(eq_25,plain,
composition(converse(one),converse(A)) = converse(A),
eq_23 ).
cnf(eq_26,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_20 ).
cnf(eq_27,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_16 ).
cnf(eq_28,plain,
join(complement(A),composition(B,complement(composition(converse(B),A)))) = complement(A),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_29,plain,
composition(A,B) = composition(A,composition(one,B)),
eq_22 ).
cnf(eq_30,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_31,plain,
join(converse(A),B) = converse(join(A,converse(B))),
eq_21 ).
cnf(eq_32,plain,
join(B,join(A,complement(join(A,B)))) = top,
inference(cp,[status(thm)],[eq_30,eq_15]) ).
cnf(eq_33,plain,
join(join(complement(B),x101),B) = join(top,x101),
inference(cp,[status(thm)],[eq_0,eq_27]) ).
cnf(eq_34,plain,
join(x100,top) = join(top,complement(complement(x100))),
inference(cp,[status(thm)],[eq_10,eq_27]) ).
cnf(eq_35,plain,
join(A,join(complement(A),B)) = join(B,top),
inference(cp,[status(thm)],[eq_27,eq_0]) ).
cnf(eq_36,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_37,plain,
converse(top) = join(x100,converse(complement(converse(x100)))),
inference(cp,[status(thm)],[eq_10,eq_26]) ).
cnf(eq_38,plain,
join(A,join(B,complement(join(B,A)))) = top,
eq_32 ).
cnf(eq_39,plain,
join(complement(A),join(B,A)) = join(top,B),
inference(rw,[status(thm)],[eq_33,eq_1]) ).
cnf(eq_40,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_36,eq_6]) ).
cnf(eq_41,plain,
join(A,top) = join(top,complement(complement(A))),
eq_34 ).
cnf(eq_42,plain,
join(A,converse(complement(converse(A)))) = converse(top),
eq_37 ).
cnf(eq_43,plain,
join(converse(A),converse(B)) = join(converse(B),converse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_7]),eq_7]) ).
cnf(eq_44,plain,
join(complement(join(complement(x100),complement(converse(complement(converse(complement(x100))))))),complement(converse(top))) = x100,
inference(cp,[status(thm)],[eq_42,eq_2]) ).
cnf(eq_45,plain,
composition(one,x101) = composition(converse(one),x101),
inference(cp,[status(thm)],[eq_40,eq_29]) ).
cnf(eq_46,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_45,eq_40]) ).
cnf(eq_47,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_46,eq_9]) ).
cnf(eq_48,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[eq_47,eq_40]) ).
cnf(eq_49,plain,
join(complement(complement(A)),complement(A)) = join(top,complement(A)),
inference(cp,[status(thm)],[eq_48,eq_39]) ).
cnf(eq_50,plain,
join(complement(complement(A)),complement(join(complement(A),A))) = A,
inference(cp,[status(thm)],[eq_48,eq_2]) ).
cnf(eq_51,plain,
converse(complement(A)) = join(converse(complement(A)),converse(complement(A))),
inference(cp,[status(thm)],[eq_48,eq_7]) ).
cnf(eq_52,plain,
join(converse(complement(A)),converse(complement(A))) = converse(complement(A)),
eq_51 ).
cnf(eq_53,plain,
join(top,complement(A)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_0]),eq_10]) ).
cnf(eq_54,plain,
A = join(complement(top),complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_0]),eq_10]),eq_0]) ).
cnf(eq_55,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[eq_54,eq_13]) ).
cnf(eq_56,plain,
join(converse(complement(A)),join(converse(complement(A)),complement(converse(complement(A))))) = top,
inference(cp,[status(thm)],[eq_52,eq_38]) ).
cnf(eq_57,plain,
join(complement(top),zero) = complement(top),
inference(cp,[status(thm)],[eq_13,eq_48]) ).
cnf(eq_58,plain,
join(A,top) = top,
inference(cp,[status(thm)],[eq_41,eq_53]) ).
cnf(eq_59,plain,
join(top,converse(complement(A))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_10]),eq_0]) ).
cnf(eq_60,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_13]),eq_13]) ).
cnf(eq_61,plain,
join(top,A) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_27]),eq_58]) ).
cnf(eq_62,plain,
converse(top) = top,
inference(cp,[status(thm)],[eq_42,eq_59]) ).
cnf(eq_63,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_60,eq_1]) ).
cnf(eq_64,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_63 ).
cnf(eq_65,plain,
join(complement(A),join(B,A)) = top,
inference(rw,[status(thm)],[eq_39,eq_61]) ).
cnf(eq_66,plain,
join(complement(join(complement(A),complement(join(B,A)))),complement(top)) = A,
inference(cp,[status(thm)],[eq_65,eq_2]) ).
cnf(eq_67,plain,
join(zero,A) = join(zero,complement(complement(A))),
inference(cp,[status(thm)],[eq_55,eq_64]) ).
cnf(eq_68,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_67,eq_55]) ).
cnf(eq_69,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_55,eq_68]) ).
cnf(eq_70,plain,
A = complement(join(complement(A),complement(converse(complement(converse(complement(A))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_62]),eq_13]),eq_0]),eq_68]) ).
cnf(eq_71,plain,
A = complement(join(complement(A),complement(join(B,A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_13]),eq_0]),eq_68]) ).
cnf(eq_72,plain,
complement(A) = join(complement(A),complement(join(B,A))),
inference(cp,[status(thm)],[eq_71,eq_69]) ).
cnf(eq_73,plain,
join(complement(A),complement(join(B,A))) = complement(A),
eq_72 ).
cnf(eq_74,plain,
join(A,converse(x101)) = join(converse(x101),converse(converse(A))),
inference(cp,[status(thm)],[eq_6,eq_43]) ).
cnf(eq_75,plain,
join(A,converse(B)) = join(converse(B),A),
inference(rw,[status(thm)],[eq_74,eq_6]) ).
cnf(eq_76,plain,
composition(A,converse(x101)) = converse(composition(x101,converse(A))),
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_77,plain,
composition(A,converse(B)) = converse(composition(B,converse(A))),
eq_76 ).
cnf(eq_78,plain,
complement(join(complement(complement(A)),complement(converse(complement(converse(A)))))) = complement(A),
inference(cp,[status(thm)],[eq_69,eq_70]) ).
cnf(eq_79,plain,
complement(A) = complement(join(A,complement(converse(complement(converse(A)))))),
inference(rw,[status(thm)],[eq_78,eq_69]) ).
cnf(eq_80,plain,
complement(complement(join(A,complement(converse(complement(converse(A))))))) = A,
inference(cp,[status(thm)],[eq_79,eq_69]) ).
cnf(eq_81,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(rw,[status(thm)],[eq_80,eq_69]) ).
cnf(eq_82,plain,
join(converse(A),complement(converse(complement(A)))) = converse(A),
inference(cp,[status(thm)],[eq_6,eq_81]) ).
cnf(eq_83,plain,
converse(converse(A)) = join(converse(converse(A)),converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_82,eq_7]) ).
cnf(eq_84,plain,
A = join(A,converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_6]),eq_6]) ).
cnf(eq_85,plain,
join(complement(converse(complement(converse(complement(A))))),complement(A)) = complement(converse(complement(converse(complement(A))))),
inference(cp,[status(thm)],[eq_84,eq_73]) ).
cnf(eq_86,plain,
complement(A) = complement(converse(complement(converse(complement(A))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_0]),eq_81]) ).
cnf(eq_87,plain,
complement(converse(complement(converse(A)))) = complement(complement(A)),
inference(cp,[status(thm)],[eq_69,eq_86]) ).
cnf(eq_88,plain,
A = complement(converse(complement(converse(A)))),
inference(rw,[status(thm)],[eq_87,eq_69]) ).
cnf(eq_89,plain,
complement(converse(complement(A))) = converse(A),
inference(cp,[status(thm)],[eq_6,eq_88]) ).
cnf(eq_90,plain,
complement(converse(A)) = converse(complement(A)),
inference(cp,[status(thm)],[eq_89,eq_69]) ).
cnf(eq_91,plain,
join(complement(converse(A)),x101) = join(x101,converse(complement(A))),
inference(cp,[status(thm)],[eq_90,eq_75]) ).
cnf(eq_92,plain,
join(A,complement(converse(B))) = join(complement(converse(B)),A),
inference(rw,[status(thm)],[eq_91,eq_90]) ).
cnf(eq_93,plain,
converse(join(A,complement(converse(B)))) = join(converse(complement(converse(B))),converse(A)),
inference(cp,[status(thm)],[eq_92,eq_7]) ).
cnf(eq_94,plain,
join(complement(A),converse(B)) = join(converse(B),complement(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_7]),eq_90]),eq_6]),eq_90]),eq_6]) ).
cnf(eq_95,plain,
join(complement(A),converse(B)) = converse(join(B,complement(converse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_31]),eq_90]) ).
cnf(eq_96,negated_conjecture,
join(complement(sk1),converse(composition(sk2,converse(complement(composition(sk1,sk2)))))) != complement(sk1),
inference(cp,[status(thm)],[eq_77,eq_14]) ).
cnf(eq_97,negated_conjecture,
join(complement(sk1),converse(composition(sk2,complement(converse(composition(sk1,sk2)))))) != complement(sk1),
inference(rw,[status(thm)],[eq_96,eq_90]) ).
cnf(eq_98,negated_conjecture,
converse(join(composition(sk2,complement(converse(composition(sk1,sk2)))),complement(converse(sk1)))) != complement(sk1),
inference(cp,[status(thm)],[eq_95,eq_97]) ).
cnf(eq_99,negated_conjecture,
complement(sk1) != complement(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_8]),eq_0]),eq_28]),eq_90]),eq_6]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL012-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 05:28:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 157.26/157.50 % SZS status Unsatisfiable
% 157.26/157.50 % SZS output start CNFRefutation for /tmp/MaedMax_18884
% See solution above
% 157.26/157.50
%------------------------------------------------------------------------------