TSTP Solution File: REL023-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : REL023-1 : 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 1.06s 1.25s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 8 RR)
% Number of literals : 30 ( 29 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 39 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
join(A,B) = join(B,A),
file('/tmp/MaedMax_3292') ).
cnf(eq_1,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('/tmp/MaedMax_3292') ).
cnf(eq_2,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/tmp/MaedMax_3292') ).
cnf(eq_3,axiom,
complement(join(complement(A),complement(B))) = meet(A,B),
file('/tmp/MaedMax_3292') ).
cnf(eq_4,axiom,
A = composition(A,one),
file('/tmp/MaedMax_3292') ).
cnf(eq_5,axiom,
join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
file('/tmp/MaedMax_3292') ).
cnf(eq_6,axiom,
A = converse(converse(A)),
file('/tmp/MaedMax_3292') ).
cnf(eq_7,axiom,
composition(converse(A),converse(B)) = converse(composition(B,A)),
file('/tmp/MaedMax_3292') ).
cnf(eq_8,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/tmp/MaedMax_3292') ).
cnf(eq_9,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
file('/tmp/MaedMax_3292') ).
cnf(eq_10,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_11,plain,
join(join(A,B),x102) = join(B,join(A,x102)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_12,plain,
converse(A) = composition(converse(one),converse(A)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_13,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_14,plain,
composition(converse(one),converse(A)) = converse(A),
eq_12 ).
cnf(eq_15,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(rw,[status(thm)],[eq_10,eq_16]) ).
cnf(eq_16,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(rw,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_17,negated_conjecture,
composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_5]),eq_0]) ).
cnf(eq_18,plain,
composition(converse(one),A) = converse(converse(A)),
inference(cp,[status(thm)],[eq_6,eq_14]) ).
cnf(eq_19,plain,
A = composition(converse(one),A),
inference(rw,[status(thm)],[eq_18,eq_6]) ).
cnf(eq_20,negated_conjecture,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)),
inference(cp,[status(thm)],[eq_3,eq_17]) ).
cnf(eq_21,negated_conjecture,
composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) != composition(sk1,meet(sk3,sk2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_0]),eq_3]) ).
cnf(eq_22,plain,
one = converse(one),
inference(cp,[status(thm)],[eq_19,eq_4]) ).
cnf(eq_23,plain,
A = composition(one,A),
inference(rw,[status(thm)],[eq_19,eq_22]) ).
cnf(eq_24,plain,
join(composition(converse(one),complement(A)),complement(A)) = complement(A),
inference(cp,[status(thm)],[eq_23,eq_8]) ).
cnf(eq_25,plain,
join(complement(A),complement(A)) = complement(A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_22]),eq_23]) ).
cnf(eq_26,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_25,eq_15]) ).
cnf(eq_27,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(rw,[status(thm)],[eq_26,eq_13]) ).
cnf(eq_28,negated_conjecture,
composition(sk1,complement(join(complement(sk3),complement(sk2)))) != composition(sk1,complement(join(complement(sk3),complement(sk2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_3]),eq_3]),eq_27]),eq_0]),eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL023-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n004.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 05:41:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.06/1.25 % SZS status Unsatisfiable
% 1.06/1.25 % SZS output start CNFRefutation for /tmp/MaedMax_3292
% See solution above
% 1.06/1.25
%------------------------------------------------------------------------------