%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL099-1 : 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 4.94s 5.11s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 8 unt; 0 nHn; 22 RR)
% Number of literals : 46 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
( ~ member(pair(A,B),R)
| member(pair(A,B),trancl(R)) ) ).
cnf(diamond_strip_lemmaD1,axiom,
( ~ diamond(R)
| ~ member(pair(X,Y),trancl(R))
| ~ member(pair(X,YP),R)
| member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R)) ) ).
cnf(diamond_strip_lemmaD2,axiom,
( ~ diamond(R)
| ~ member(pair(X,Y),trancl(R))
| ~ member(pair(X,YP),R)
| member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R) ) ).
cnf(diamond_trancl_1h1,hypothesis,
diamond(r) ).
cnf(diamond_trancl_1h2,hypothesis,
member(pair(y,ya),r) ).
cnf(diamond_trancl_1c1,negated_conjecture,
member(pair(y,yp),trancl(r)) ).
cnf(diamond_trancl_1c2,negated_conjecture,
( ~ member(pair(ya,Z),trancl(r))
| ~ member(pair(yp,Z),trancl(r)) ) ).
cnf(refute_0_0,plain,
( ~ diamond(r)
| ~ member(pair(y,X_79),r)
| ~ member(pair(y,yp),trancl(r))
| member(pair(X_79,diamond_strip_lemmaD_sk1(y,yp,X_79,r)),trancl(r)) ),
inference(subst,[],[diamond_strip_lemmaD1:[bind(R,$fot(r)),bind(X,$fot(y)),bind(Y,$fot(yp)),bind(YP,$fot(X_79))]]) ).
cnf(refute_0_1,plain,
( ~ diamond(r)
| ~ member(pair(y,X_79),r)
| member(pair(X_79,diamond_strip_lemmaD_sk1(y,yp,X_79,r)),trancl(r)) ),
inference(resolve,[$cnf( member(pair(y,yp),trancl(r)) )],[diamond_trancl_1c1,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ member(pair(y,X_79),r)
| member(pair(X_79,diamond_strip_lemmaD_sk1(y,yp,X_79,r)),trancl(r)) ),
inference(resolve,[$cnf( diamond(r) )],[diamond_trancl_1h1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ member(pair(y,ya),r)
| member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
inference(subst,[],[refute_0_2:[bind(X_79,$fot(ya))]]) ).
cnf(refute_0_4,plain,
member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolve,[$cnf( member(pair(y,ya),r) )],[diamond_trancl_1h2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r))
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
inference(subst,[],[diamond_trancl_1c2:[bind(Z,$fot(diamond_strip_lemmaD_sk1(y,yp,ya,r)))]]) ).
cnf(refute_0_6,plain,
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) ),
inference(subst,[],[r_into_trancl:[bind(A,$fot(yp)),bind(B,$fot(diamond_strip_lemmaD_sk1(y,yp,ya,r))),bind(R,$fot(r))]]) ).
cnf(refute_0_7,plain,
( ~ diamond(r)
| ~ member(pair(y,X_49),r)
| ~ member(pair(y,yp),trancl(r))
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X_49,r)),r) ),
inference(subst,[],[diamond_strip_lemmaD2:[bind(R,$fot(r)),bind(X,$fot(y)),bind(Y,$fot(yp)),bind(YP,$fot(X_49))]]) ).
cnf(refute_0_8,plain,
( ~ diamond(r)
| ~ member(pair(y,X_49),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X_49,r)),r) ),
inference(resolve,[$cnf( member(pair(y,yp),trancl(r)) )],[diamond_trancl_1c1,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ member(pair(y,X_49),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X_49,r)),r) ),
inference(resolve,[$cnf( diamond(r) )],[diamond_trancl_1h1,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ member(pair(y,ya),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r) ),
inference(subst,[],[refute_0_9:[bind(X_49,$fot(ya))]]) ).
cnf(refute_0_11,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
inference(resolve,[$cnf( member(pair(y,ya),r) )],[diamond_trancl_1h2,refute_0_10]) ).
cnf(refute_0_12,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolve,[$cnf( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r) )],[refute_0_11,refute_0_6]) ).
cnf(refute_0_13,plain,
~ member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolve,[$cnf( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) )],[refute_0_12,refute_0_5]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)) )],[refute_0_4,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 07:55:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.94/5.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/5.11
% 4.94/5.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.94/5.11
%------------------------------------------------------------------------------