TSTP Solution File: MGT049-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT049-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 : Sun Jul 17 22:19:52 EDT 2022
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 14 unt; 0 nHn; 14 RR)
% Number of literals : 50 ( 42 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_6_31,axiom,
( ~ organization(A)
| external_ties(A,B) != external_ties(A,C)
| position(A,B) = position(A,C) ) ).
cnf(assumption_11_32,axiom,
( ~ organization(A)
| external_ties(A,B) = external_ties(A,C) ) ).
cnf(lemma_6_33,negated_conjecture,
organization(sk1) ).
cnf(lemma_6_35,negated_conjecture,
position(sk1,sk3) != position(sk1,sk2) ).
cnf(refute_0_0,plain,
( external_ties(sk1,X_63) != external_ties(sk1,X_64)
| ~ organization(sk1)
| position(sk1,X_63) = position(sk1,X_64) ),
inference(subst,[],[assumption_6_31:[bind(A,$fot(sk1)),bind(B,$fot(X_63)),bind(C,$fot(X_64))]]) ).
cnf(refute_0_1,plain,
( ~ organization(sk1)
| external_ties(sk1,X_14) = external_ties(sk1,X_15) ),
inference(subst,[],[assumption_11_32:[bind(A,$fot(sk1)),bind(B,$fot(X_14)),bind(C,$fot(X_15))]]) ).
cnf(refute_0_2,plain,
external_ties(sk1,X_14) = external_ties(sk1,X_15),
inference(resolve,[$cnf( organization(sk1) )],[lemma_6_33,refute_0_1]) ).
cnf(refute_0_3,plain,
external_ties(sk1,X_14) = external_ties(sk1,X_63),
inference(subst,[],[refute_0_2:[bind(X_15,$fot(X_63))]]) ).
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( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( external_ties(sk1,X_14) != external_ties(sk1,X_63)
| external_ties(sk1,X_63) = external_ties(sk1,X_14) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(external_ties(sk1,X_14))),bind(Y,$fot(external_ties(sk1,X_63)))]]) ).
cnf(refute_0_8,plain,
external_ties(sk1,X_63) = external_ties(sk1,X_14),
inference(resolve,[$cnf( $equal(external_ties(sk1,X_14),external_ties(sk1,X_63)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( external_ties(sk1,X_14) != external_ties(sk1,X_64)
| external_ties(sk1,X_63) != external_ties(sk1,X_14)
| external_ties(sk1,X_63) = external_ties(sk1,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(external_ties(sk1,X_63),external_ties(sk1,X_14)) ),[1],$fot(external_ties(sk1,X_64))]]) ).
cnf(refute_0_10,plain,
( external_ties(sk1,X_14) != external_ties(sk1,X_64)
| external_ties(sk1,X_63) = external_ties(sk1,X_64) ),
inference(resolve,[$cnf( $equal(external_ties(sk1,X_63),external_ties(sk1,X_14)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( external_ties(sk1,X_14) != external_ties(sk1,X_64)
| ~ organization(sk1)
| position(sk1,X_63) = position(sk1,X_64) ),
inference(resolve,[$cnf( $equal(external_ties(sk1,X_63),external_ties(sk1,X_64)) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
( external_ties(sk1,X_14) != external_ties(sk1,X_15)
| external_ties(sk1,X_15) = external_ties(sk1,X_14) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(external_ties(sk1,X_14))),bind(Y,$fot(external_ties(sk1,X_15)))]]) ).
cnf(refute_0_13,plain,
external_ties(sk1,X_15) = external_ties(sk1,X_14),
inference(resolve,[$cnf( $equal(external_ties(sk1,X_14),external_ties(sk1,X_15)) )],[refute_0_2,refute_0_12]) ).
cnf(refute_0_14,plain,
external_ties(sk1,X_14) = external_ties(sk1,X_64),
inference(subst,[],[refute_0_13:[bind(X_14,$fot(X_64)),bind(X_15,$fot(X_14))]]) ).
cnf(refute_0_15,plain,
( ~ organization(sk1)
| position(sk1,X_63) = position(sk1,X_64) ),
inference(resolve,[$cnf( $equal(external_ties(sk1,X_14),external_ties(sk1,X_64)) )],[refute_0_14,refute_0_11]) ).
cnf(refute_0_16,plain,
position(sk1,X_63) = position(sk1,X_64),
inference(resolve,[$cnf( organization(sk1) )],[lemma_6_33,refute_0_15]) ).
cnf(refute_0_17,plain,
position(sk1,sk2) = position(sk1,X_66),
inference(subst,[],[refute_0_16:[bind(X_63,$fot(sk2)),bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_18,plain,
( position(sk1,sk2) != position(sk1,X_66)
| position(sk1,sk3) != position(sk1,X_66)
| position(sk1,sk3) = position(sk1,sk2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(position(sk1,sk3),position(sk1,sk2)) ),[1],$fot(position(sk1,X_66))]]) ).
cnf(refute_0_19,plain,
( position(sk1,sk3) != position(sk1,X_66)
| position(sk1,sk3) = position(sk1,sk2) ),
inference(resolve,[$cnf( $equal(position(sk1,sk2),position(sk1,X_66)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
position(sk1,sk3) != position(sk1,X_66),
inference(resolve,[$cnf( $equal(position(sk1,sk3),position(sk1,sk2)) )],[refute_0_19,lemma_6_35]) ).
cnf(refute_0_21,plain,
( position(sk1,X_63) != position(sk1,X_64)
| position(sk1,X_64) = position(sk1,X_63) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(position(sk1,X_63))),bind(Y,$fot(position(sk1,X_64)))]]) ).
cnf(refute_0_22,plain,
position(sk1,X_64) = position(sk1,X_63),
inference(resolve,[$cnf( $equal(position(sk1,X_63),position(sk1,X_64)) )],[refute_0_16,refute_0_21]) ).
cnf(refute_0_23,plain,
position(sk1,sk3) = position(sk1,X_66),
inference(subst,[],[refute_0_22:[bind(X_63,$fot(X_66)),bind(X_64,$fot(sk3))]]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( $equal(position(sk1,sk3),position(sk1,X_66)) )],[refute_0_23,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT049-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 11:30:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38
%------------------------------------------------------------------------------