TSTP Solution File: REL024-2 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL024-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:11:37 EDT 2022
% Result : Unsatisfiable 13.84s 14.05s
% Output : CNFRefutation 13.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of clauses : 81 ( 81 unt; 0 nHn; 19 RR)
% Number of literals : 81 ( 80 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 104 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_930') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_930') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_930') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_930') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_930') ).
cnf(eq_5,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_930') ).
cnf(eq_6,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_930') ).
cnf(eq_7,axiom,
join(converse(A),converse(B)) = converse(join(A,B)),
file('/tmp/MaedMax_930') ).
cnf(eq_8,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_930') ).
cnf(eq_9,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_930') ).
cnf(eq_10,axiom,
join(A,complement(A)) = top,
file('/tmp/MaedMax_930') ).
cnf(eq_11,axiom,
meet(A,complement(A)) = zero,
file('/tmp/MaedMax_930') ).
cnf(eq_12,axiom,
join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C),
file('/tmp/MaedMax_930') ).
cnf(eq_13,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
file('/tmp/MaedMax_930') ).
cnf(eq_14,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_10]) ).
cnf(eq_15,negated_conjecture,
join(composition(complement(join(complement(converse(sk2)),complement(sk1))),sk3),composition(complement(join(complement(converse(sk2)),complement(sk1))),complement(join(complement(sk3),complement(sk2))))) != composition(complement(join(complement(converse(sk2)),complement(sk1))),sk3),
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_13,eq_3]),eq_3]),eq_3]),eq_0]),eq_0]),eq_0]),eq_0]),eq_3]),eq_0]) ).
cnf(eq_16,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_17,plain,
join(top,x102) = join(A,join(complement(A),x102)),
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_18,plain,
join(join(A,B),x102) = join(B,join(A,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_19,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_20,plain,
join(complement(top),complement(join(complement(x100),complement(x100)))) = x100,
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_21,plain,
join(A,converse(x101)) = converse(join(converse(A),x101)),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_22,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_8]) ).
cnf(eq_23,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_24,plain,
join(meet(A,x102),meet(composition(meet(A,composition(x102,converse(one))),one),x102)) = meet(composition(meet(A,composition(x102,converse(one))),one),x102),
inference(cp,[status(thm)],[eq_4,eq_12]) ).
cnf(eq_25,plain,
complement(join(complement(x101),complement(x100))) = meet(x100,x101),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_26,plain,
join(A,converse(B)) = converse(join(converse(A),B)),
eq_21 ).
cnf(eq_27,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(B),complement(complement(join(complement(A),complement(composition(B,converse(one))))))))) = complement(join(complement(B),complement(complement(join(complement(A),complement(composition(B,converse(one)))))))),
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_24,eq_3]),eq_3]),eq_4]),eq_3]),eq_0]),eq_3]),eq_4]),eq_3]),eq_0]) ).
cnf(eq_28,plain,
composition(converse(one),converse(A)) = converse(A),
eq_22 ).
cnf(eq_29,plain,
A = join(complement(top),complement(join(complement(A),complement(A)))),
eq_20 ).
cnf(eq_30,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(rw,[status(thm)],[eq_16,eq_32]) ).
cnf(eq_31,plain,
join(A,join(complement(A),B)) = join(top,B),
eq_17 ).
cnf(eq_32,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_33,negated_conjecture,
join(composition(meet(converse(sk2),sk1),sk3),composition(meet(converse(sk2),sk1),meet(sk2,sk3))) != composition(meet(converse(sk2),sk1),sk3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_3]),eq_3]),eq_0]),eq_3]),eq_3]) ).
cnf(eq_34,plain,
complement(join(zero,complement(x101))) = meet(top,x101),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_35,plain,
join(complement(join(complement(x100),complement(join(complement(complement(x100)),B)))),complement(join(top,B))) = x100,
inference(cp,[status(thm)],[eq_31,eq_2]) ).
cnf(eq_36,plain,
composition(converse(x100),join(A,converse(B))) = converse(composition(join(converse(A),B),x100)),
inference(cp,[status(thm)],[eq_26,eq_8]) ).
cnf(eq_37,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_6,eq_28]) ).
cnf(eq_38,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_37,eq_6]) ).
cnf(eq_39,plain,
A = join(complement(join(top,B)),meet(A,join(complement(complement(A)),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_3]),eq_0]) ).
cnf(eq_40,plain,
meet(A,B) = meet(B,A),
inference(rw,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_41,plain,
complement(join(zero,complement(A))) = meet(top,A),
eq_34 ).
cnf(eq_42,plain,
complement(top) = meet(A,complement(A)),
inference(rw,[status(thm)],[eq_11,eq_14]) ).
cnf(eq_43,plain,
join(composition(converse(A),B),composition(converse(A),converse(C))) = composition(converse(A),join(B,converse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_5]),eq_7]),eq_8]),eq_8]),eq_6]) ).
cnf(eq_44,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_38,eq_4]) ).
cnf(eq_45,plain,
join(complement(top),complement(join(complement(top),meet(A,complement(A))))) = top,
inference(cp,[status(thm)],[eq_42,eq_29]) ).
cnf(eq_46,plain,
join(zero,complement(join(zero,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_14]),eq_14]),eq_11]) ).
cnf(eq_47,negated_conjecture,
join(composition(meet(converse(sk2),sk1),sk3),composition(meet(converse(sk2),sk1),meet(sk3,sk2))) != composition(meet(converse(sk2),sk1),sk3),
inference(cp,[status(thm)],[eq_40,eq_33]) ).
cnf(eq_48,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_38,eq_44]) ).
cnf(eq_49,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_48,eq_9]) ).
cnf(eq_50,plain,
complement(join(zero,complement(join(zero,zero)))) = zero,
inference(rw,[status(thm)],[eq_14,eq_46]) ).
cnf(eq_51,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_44]),eq_48]) ).
cnf(eq_52,plain,
join(zero,complement(join(zero,complement(join(zero,zero))))) = complement(join(zero,complement(join(zero,zero)))),
inference(cp,[status(thm)],[eq_50,eq_51]) ).
cnf(eq_53,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_50]),eq_50]) ).
cnf(eq_54,plain,
A = join(zero,complement(complement(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_46]),eq_51]),eq_50]) ).
cnf(eq_55,plain,
join(zero,x102) = join(zero,join(zero,x102)),
inference(cp,[status(thm)],[eq_53,eq_1]) ).
cnf(eq_56,plain,
join(zero,A) = join(zero,join(zero,A)),
eq_55 ).
cnf(eq_57,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_51,eq_30]) ).
cnf(eq_58,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_57,eq_23]) ).
cnf(eq_59,plain,
A = join(A,meet(A,B)),
inference(rw,[status(thm)],[eq_58,eq_3]) ).
cnf(eq_60,plain,
join(zero,A) = join(zero,complement(complement(A))),
inference(cp,[status(thm)],[eq_54,eq_56]) ).
cnf(eq_61,plain,
A = join(zero,A),
inference(rw,[status(thm)],[eq_60,eq_54]) ).
cnf(eq_62,plain,
top = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_61]),eq_61]) ).
cnf(eq_63,plain,
A = complement(complement(A)),
inference(rw,[status(thm)],[eq_54,eq_61]) ).
cnf(eq_64,plain,
join(B,meet(A,B)) = B,
inference(cp,[status(thm)],[eq_40,eq_59]) ).
cnf(eq_65,plain,
A = join(A,meet(B,A)),
eq_64 ).
cnf(eq_66,plain,
A = meet(complement(zero),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_61]),eq_63]),eq_62]) ).
cnf(eq_67,plain,
join(complement(zero),A) = complement(zero),
inference(cp,[status(thm)],[eq_66,eq_59]) ).
cnf(eq_68,plain,
meet(A,B) = meet(B,meet(A,B)),
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)],[inference(rw,[status(thm)],[eq_27,eq_3]),eq_44]),eq_4]),eq_3]),eq_3]),eq_65]),eq_44]),eq_4]),eq_3]),eq_3]) ).
cnf(eq_69,plain,
A = meet(A,join(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_62]),eq_63]),eq_67]),eq_63]),eq_61]) ).
cnf(eq_70,plain,
A = meet(join(A,B),A),
inference(cp,[status(thm)],[eq_69,eq_40]) ).
cnf(eq_71,plain,
meet(A,meet(A,B)) = meet(B,A),
inference(cp,[status(thm)],[eq_40,eq_68]) ).
cnf(eq_72,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(cp,[status(thm)],[eq_19,eq_70]) ).
cnf(eq_73,plain,
meet(A,B) = meet(B,meet(B,A)),
eq_71 ).
cnf(eq_74,negated_conjecture,
join(composition(meet(converse(sk2),sk1),sk3),composition(meet(converse(sk2),sk1),meet(sk2,meet(sk2,sk3)))) != composition(meet(converse(sk2),sk1),sk3),
inference(cp,[status(thm)],[eq_73,eq_47]) ).
cnf(eq_75,plain,
composition(A,join(x101,converse(x102))) = join(composition(converse(converse(A)),x101),composition(converse(converse(A)),converse(x102))),
inference(cp,[status(thm)],[eq_6,eq_43]) ).
cnf(eq_76,plain,
join(composition(A,B),composition(A,converse(C))) = composition(A,join(B,converse(C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_6]),eq_6]) ).
cnf(eq_77,plain,
join(composition(x100,x101),composition(x100,A)) = composition(x100,join(x101,converse(converse(A)))),
inference(cp,[status(thm)],[eq_6,eq_76]) ).
cnf(eq_78,plain,
join(composition(A,B),composition(A,C)) = composition(A,join(B,C)),
inference(rw,[status(thm)],[eq_77,eq_6]) ).
cnf(eq_79,negated_conjecture,
composition(meet(converse(sk2),sk1),sk3) != composition(meet(converse(sk2),sk1),sk3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_72]),eq_78]),eq_65]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL024-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n004.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 05:40:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.84/14.05 % SZS status Unsatisfiable
% 13.84/14.05 % SZS output start CNFRefutation for /tmp/MaedMax_930
% See solution above
% 13.84/14.05
%------------------------------------------------------------------------------