TSTP Solution File: REL049-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 19:46:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 47 ( 46 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux2_join_associativity_2,axiom,
join(A,join(B,C)) = join(join(A,B),C) ).
cnf(goals_14,negated_conjecture,
join(sk1,sk2) = sk2 ).
cnf(goals_15,negated_conjecture,
join(sk3,sk2) = sk2 ).
cnf(goals_16,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2 ).
cnf(refute_0_0,plain,
join(sk1,join(sk3,sk2)) = join(sk1,join(sk3,sk2)),
introduced(tautology,[refl,[$fot(join(sk1,join(sk3,sk2)))]]) ).
cnf(refute_0_1,plain,
( join(sk1,join(sk3,sk2)) != join(sk1,join(sk3,sk2))
| join(sk3,sk2) != sk2
| join(sk1,join(sk3,sk2)) = join(sk1,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(join(sk1,join(sk3,sk2)),join(sk1,join(sk3,sk2))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_2,plain,
( join(sk3,sk2) != sk2
| join(sk1,join(sk3,sk2)) = join(sk1,sk2) ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk3,sk2)),join(sk1,join(sk3,sk2))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
join(sk1,join(sk3,sk2)) = join(sk1,sk2),
inference(resolve,[$cnf( $equal(join(sk3,sk2),sk2) )],[goals_15,refute_0_2]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( join(sk1,join(sk3,sk2)) != join(sk1,sk2)
| join(sk1,sk2) != sk2
| join(sk1,join(sk3,sk2)) = sk2 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(sk1,join(sk3,sk2)))),bind(Y,$fot(join(sk1,sk2))),bind(Z,$fot(sk2))]]) ).
cnf(refute_0_10,plain,
( join(sk1,sk2) != sk2
| join(sk1,join(sk3,sk2)) = sk2 ),
inference(resolve,[$cnf( $equal(join(sk1,join(sk3,sk2)),join(sk1,sk2)) )],[refute_0_3,refute_0_9]) ).
cnf(refute_0_11,plain,
join(sk1,join(sk3,sk2)) = sk2,
inference(resolve,[$cnf( $equal(join(sk1,sk2),sk2) )],[goals_14,refute_0_10]) ).
cnf(refute_0_12,plain,
( join(A,join(B,C)) != join(join(A,B),C)
| join(join(A,B),C) = join(A,join(B,C)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(A,join(B,C)))),bind(Y,$fot(join(join(A,B),C)))]]) ).
cnf(refute_0_13,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(resolve,[$cnf( $equal(join(A,join(B,C)),join(join(A,B),C)) )],[maddux2_join_associativity_2,refute_0_12]) ).
cnf(refute_0_14,plain,
join(join(sk1,sk3),sk2) = join(sk1,join(sk3,sk2)),
inference(subst,[],[refute_0_13:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_15,plain,
( join(join(sk1,sk3),sk2) != join(sk1,join(sk3,sk2))
| join(sk1,join(sk3,sk2)) != sk2
| join(join(sk1,sk3),sk2) = sk2 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(join(sk1,sk3),sk2))),bind(Y,$fot(join(sk1,join(sk3,sk2)))),bind(Z,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( join(sk1,join(sk3,sk2)) != sk2
| join(join(sk1,sk3),sk2) = sk2 ),
inference(resolve,[$cnf( $equal(join(join(sk1,sk3),sk2),join(sk1,join(sk3,sk2))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
join(join(sk1,sk3),sk2) = sk2,
inference(resolve,[$cnf( $equal(join(sk1,join(sk3,sk2)),sk2) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
( join(join(sk1,sk3),sk2) != sk2
| sk2 != sk2
| join(join(sk1,sk3),sk2) = sk2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(sk1,sk3),sk2),sk2) ),[0],$fot(sk2)]]) ).
cnf(refute_0_19,plain,
( sk2 != sk2
| join(join(sk1,sk3),sk2) = sk2 ),
inference(resolve,[$cnf( $equal(join(join(sk1,sk3),sk2),sk2) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
sk2 != sk2,
inference(resolve,[$cnf( $equal(join(join(sk1,sk3),sk2),sk2) )],[refute_0_19,goals_16]) ).
cnf(refute_0_21,plain,
sk2 = sk2,
introduced(tautology,[refl,[$fot(sk2)]]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( $equal(sk2,sk2) )],[refute_0_21,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n009.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 : 600
% 0.12/0.34 % DateTime : Fri Jul 8 09:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36
% 0.19/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------