TSTP Solution File: COL098-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 : Fri Jul 15 00:36:29 EDT 2022
% Result : Unsatisfiable 41.40s 41.62s
% Output : CNFRefutation 41.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 12 unt; 0 nHn; 32 RR)
% Number of literals : 63 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
( ~ member(pair(A,B),R)
| member(pair(A,B),trancl(R)) ) ).
cnf(trans_trancl,axiom,
trans(trancl(R)) ).
cnf(transD,axiom,
( ~ trans(R)
| ~ member(pair(A,B),R)
| ~ member(pair(B,C),R)
| member(pair(A,C),R) ) ).
cnf(diamond_strip_lemmaD_2h1,hypothesis,
( ~ member(pair(X,Y),r)
| ~ member(pair(X,YP),r)
| member(pair(Y,sk1(X,Y,YP)),r) ) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( ~ member(pair(X,Y),r)
| ~ member(pair(X,YP),r)
| member(pair(YP,sk1(X,Y,YP)),r) ) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( ~ member(pair(x,YP),r)
| member(pair(YP,sk2(YP)),trancl(r)) ) ).
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( ~ member(pair(x,YP),r)
| member(pair(y,sk2(YP)),r) ) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(sk3,ZA),trancl(r))
| ~ member(pair(z,ZA),r) ) ).
cnf(refute_0_0,plain,
( ~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(z,sk1(y,sk2(sk3),z)),r) ),
inference(subst,[],[diamond_strip_lemmaD_2c2:[bind(ZA,$fot(sk1(y,sk2(sk3),z)))]]) ).
cnf(refute_0_1,plain,
( ~ member(pair(x,sk3),r)
| member(pair(sk3,sk2(sk3)),trancl(r)) ),
inference(subst,[],[diamond_strip_lemmaD_2h5:[bind(YP,$fot(sk3))]]) ).
cnf(refute_0_2,plain,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference(resolve,[$cnf( member(pair(x,sk3),r) )],[diamond_strip_lemmaD_2c1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r)
| member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(subst,[],[r_into_trancl:[bind(A,$fot(sk2(sk3))),bind(B,$fot(sk1(y,sk2(sk3),z))),bind(R,$fot(r))]]) ).
cnf(refute_0_4,plain,
( ~ member(pair(x,sk3),r)
| member(pair(y,sk2(sk3)),r) ),
inference(subst,[],[diamond_strip_lemmaD_2h6:[bind(YP,$fot(sk3))]]) ).
cnf(refute_0_5,plain,
member(pair(y,sk2(sk3)),r),
inference(resolve,[$cnf( member(pair(x,sk3),r) )],[diamond_strip_lemmaD_2c1,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ member(pair(y,X_40),r)
| ~ member(pair(y,z),r)
| member(pair(X_40,sk1(y,X_40,z)),r) ),
inference(subst,[],[diamond_strip_lemmaD_2h1:[bind(X,$fot(y)),bind(Y,$fot(X_40)),bind(YP,$fot(z))]]) ).
cnf(refute_0_7,plain,
( ~ member(pair(y,X_40),r)
| member(pair(X_40,sk1(y,X_40,z)),r) ),
inference(resolve,[$cnf( member(pair(y,z),r) )],[diamond_strip_lemmaD_2h4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ member(pair(y,sk2(sk3)),r)
| member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r) ),
inference(subst,[],[refute_0_7:[bind(X_40,$fot(sk2(sk3)))]]) ).
cnf(refute_0_9,plain,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
inference(resolve,[$cnf( member(pair(y,sk2(sk3)),r) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)),
inference(resolve,[$cnf( member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
( ~ member(pair(X_90,sk2(sk3)),trancl(r))
| ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r))
| ~ trans(trancl(r))
| member(pair(X_90,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(subst,[],[transD:[bind(A,$fot(X_90)),bind(B,$fot(sk2(sk3))),bind(C,$fot(sk1(y,sk2(sk3),z))),bind(R,$fot(trancl(r)))]]) ).
cnf(refute_0_12,plain,
( ~ member(pair(X_90,sk2(sk3)),trancl(r))
| ~ trans(trancl(r))
| member(pair(X_90,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(resolve,[$cnf( member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
trans(trancl(r)),
inference(subst,[],[trans_trancl:[bind(R,$fot(r))]]) ).
cnf(refute_0_14,plain,
( ~ member(pair(X_90,sk2(sk3)),trancl(r))
| member(pair(X_90,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(resolve,[$cnf( trans(trancl(r)) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
( ~ member(pair(sk3,sk2(sk3)),trancl(r))
| member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(subst,[],[refute_0_14:[bind(X_90,$fot(sk3))]]) ).
cnf(refute_0_16,plain,
member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)),
inference(resolve,[$cnf( member(pair(sk3,sk2(sk3)),trancl(r)) )],[refute_0_2,refute_0_15]) ).
cnf(refute_0_17,plain,
~ member(pair(z,sk1(y,sk2(sk3),z)),r),
inference(resolve,[$cnf( member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
( ~ member(pair(y,X_22),r)
| ~ member(pair(y,z),r)
| member(pair(z,sk1(y,X_22,z)),r) ),
inference(subst,[],[diamond_strip_lemmaD_2h2:[bind(X,$fot(y)),bind(Y,$fot(X_22)),bind(YP,$fot(z))]]) ).
cnf(refute_0_19,plain,
( ~ member(pair(y,X_22),r)
| member(pair(z,sk1(y,X_22,z)),r) ),
inference(resolve,[$cnf( member(pair(y,z),r) )],[diamond_strip_lemmaD_2h4,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ member(pair(y,sk2(sk3)),r)
| member(pair(z,sk1(y,sk2(sk3),z)),r) ),
inference(subst,[],[refute_0_19:[bind(X_22,$fot(sk2(sk3)))]]) ).
cnf(refute_0_21,plain,
member(pair(z,sk1(y,sk2(sk3),z)),r),
inference(resolve,[$cnf( member(pair(y,sk2(sk3)),r) )],[refute_0_5,refute_0_20]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( member(pair(z,sk1(y,sk2(sk3),z)),r) )],[refute_0_21,refute_0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.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 : 600
% 0.12/0.33 % DateTime : Tue May 31 10:00:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 41.40/41.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.40/41.62
% 41.40/41.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 41.45/41.63
%------------------------------------------------------------------------------