TSTP Solution File: REL003-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 : 600s
% DateTime : Mon Jul 18 19:42:58 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 15 unt; 2 nHn; 34 RR)
% Number of literals : 71 ( 70 equ; 35 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_idempotence_8,axiom,
converse(converse(A)) = A ).
cnf(converse_additivity_9,axiom,
converse(join(A,B)) = join(converse(A),converse(B)) ).
cnf(goals_14,negated_conjecture,
( join(sk1,sk2) = sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ) ).
cnf(goals_17,negated_conjecture,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) != converse(sk2) ) ).
cnf(refute_0_0,plain,
converse(converse(join(sk1,sk2))) = join(sk1,sk2),
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(join(sk1,sk2)))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( converse(join(A,B)) != join(converse(A),converse(B))
| join(converse(A),converse(B)) = converse(join(A,B)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(converse(join(A,B)))),bind(Y,$fot(join(converse(A),converse(B))))]]) ).
cnf(refute_0_5,plain,
join(converse(A),converse(B)) = converse(join(A,B)),
inference(resolve,[$cnf( $equal(converse(join(A,B)),join(converse(A),converse(B))) )],[converse_additivity_9,refute_0_4]) ).
cnf(refute_0_6,plain,
join(converse(sk1),converse(sk2)) = converse(join(sk1,sk2)),
inference(subst,[],[refute_0_5:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_7,plain,
( join(converse(sk1),converse(sk2)) != converse(join(sk1,sk2))
| join(converse(sk1),converse(sk2)) != converse(sk2)
| converse(join(sk1,sk2)) = converse(sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(sk2)) ),[0],$fot(converse(join(sk1,sk2)))]]) ).
cnf(refute_0_8,plain,
( join(converse(sk1),converse(sk2)) != converse(sk2)
| converse(join(sk1,sk2)) = converse(sk2) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(join(sk1,sk2))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( converse(join(sk1,sk2)) = converse(sk2)
| join(sk1,sk2) = sk2 ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(sk2)) )],[goals_14,refute_0_8]) ).
cnf(refute_0_10,plain,
converse(join(sk1,sk2)) = converse(join(sk1,sk2)),
introduced(tautology,[refl,[$fot(converse(join(sk1,sk2)))]]) ).
cnf(refute_0_11,plain,
( converse(join(sk1,sk2)) != converse(join(sk1,sk2))
| join(sk1,sk2) != sk2
| converse(join(sk1,sk2)) = converse(sk2) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(sk1,sk2)),converse(join(sk1,sk2))) ),[1,0],$fot(sk2)]]) ).
cnf(refute_0_12,plain,
( join(sk1,sk2) != sk2
| converse(join(sk1,sk2)) = converse(sk2) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk2)),converse(join(sk1,sk2))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_13]) ).
cnf(refute_0_15,plain,
( converse(join(sk1,sk2)) != converse(sk2)
| join(converse(sk1),converse(sk2)) != converse(join(sk1,sk2))
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(join(converse(sk1),converse(sk2)))),bind(Y,$fot(converse(join(sk1,sk2)))),bind(Z,$fot(converse(sk2)))]]) ).
cnf(refute_0_16,plain,
( converse(join(sk1,sk2)) != converse(sk2)
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(join(sk1,sk2))) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
( join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk2)),converse(sk2)) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( converse(sk2) != converse(sk2)
| join(converse(sk1),converse(sk2)) != converse(sk2)
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(sk2)) ),[0,1],$fot(converse(sk2))]]) ).
cnf(refute_0_19,plain,
( converse(sk2) != converse(sk2)
| join(sk1,sk2) != sk2
| join(converse(sk1),converse(sk2)) = converse(sk2) ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(sk2)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( converse(sk2) != converse(sk2)
| join(sk1,sk2) != sk2 ),
inference(resolve,[$cnf( $equal(join(converse(sk1),converse(sk2)),converse(sk2)) )],[refute_0_19,goals_17]) ).
cnf(refute_0_21,plain,
converse(sk2) = converse(sk2),
introduced(tautology,[refl,[$fot(converse(sk2))]]) ).
cnf(refute_0_22,plain,
join(sk1,sk2) != sk2,
inference(resolve,[$cnf( $equal(converse(sk2),converse(sk2)) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
converse(join(sk1,sk2)) = converse(sk2),
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[refute_0_9,refute_0_22]) ).
cnf(refute_0_24,plain,
( converse(converse(join(sk1,sk2))) != join(sk1,sk2)
| converse(join(sk1,sk2)) != converse(sk2)
| converse(converse(sk2)) = join(sk1,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(sk1,sk2))),join(sk1,sk2)) ),[0,0],$fot(converse(sk2))]]) ).
cnf(refute_0_25,plain,
( converse(converse(join(sk1,sk2))) != join(sk1,sk2)
| converse(converse(sk2)) = join(sk1,sk2) ),
inference(resolve,[$cnf( $equal(converse(join(sk1,sk2)),converse(sk2)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
converse(converse(sk2)) = join(sk1,sk2),
inference(resolve,[$cnf( $equal(converse(converse(join(sk1,sk2))),join(sk1,sk2)) )],[refute_0_0,refute_0_25]) ).
cnf(refute_0_27,plain,
converse(converse(sk2)) = sk2,
inference(subst,[],[converse_idempotence_8:[bind(A,$fot(sk2))]]) ).
cnf(refute_0_28,plain,
( converse(converse(sk2)) != join(sk1,sk2)
| converse(converse(sk2)) != sk2
| sk2 = join(sk1,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(sk2)),join(sk1,sk2)) ),[0],$fot(sk2)]]) ).
cnf(refute_0_29,plain,
( converse(converse(sk2)) != join(sk1,sk2)
| sk2 = join(sk1,sk2) ),
inference(resolve,[$cnf( $equal(converse(converse(sk2)),sk2) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
sk2 = join(sk1,sk2),
inference(resolve,[$cnf( $equal(converse(converse(sk2)),join(sk1,sk2)) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( sk2 != join(sk1,sk2)
| join(sk1,sk2) = sk2 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(sk2)),bind(Y,$fot(join(sk1,sk2)))]]) ).
cnf(refute_0_32,plain,
sk2 != join(sk1,sk2),
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[refute_0_31,refute_0_22]) ).
cnf(refute_0_33,plain,
$false,
inference(resolve,[$cnf( $equal(sk2,join(sk1,sk2)) )],[refute_0_30,refute_0_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 10:04:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.40
%------------------------------------------------------------------------------