%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:56:55 AM UTC 2026
% Result : Unsatisfiable 26.91s 4.38s
% Output : CNFRefutation 26.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 8 unt; 0 nHn; 28 RR)
% Number of literals : 71 ( 0 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 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 : 48 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ) ).
cnf(trans_trancl,axiom,
trans(trancl(X0)) ).
cnf(transD,axiom,
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ) ).
cnf(diamond_strip_lemmaD_2h1,hypothesis,
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ) ).
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(z,X0),r)
| ~ member(pair(sk3,X0),trancl(r)) ) ).
cnf(c6,plain,
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(clausification,[status(esa)],[r_into_trancl]) ).
cnf(c7,plain,
trans(trancl(X0)),
inference(clausification,[status(esa)],[trans_trancl]) ).
cnf(c8,plain,
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ),
inference(clausification,[status(esa)],[transD]) ).
cnf(c9,plain,
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2h1]) ).
cnf(c10,plain,
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2h2]) ).
cnf(c12,plain,
member(pair(y,z),r),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2h4]) ).
cnf(c13,plain,
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2h5]) ).
cnf(c14,plain,
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2h6]) ).
cnf(c15,plain,
member(pair(x,sk3),r),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2c1]) ).
cnf(c16,plain,
( ~ member(pair(z,X0),r)
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD_2c2]) ).
cnf(d0,plain,
( ~ member(pair(x,X0),r)
| ~ trans(trancl(r))
| member(pair(X0,X1),trancl(r))
| ~ member(pair(sk2(X0),X1),trancl(r)) ),
inference(resolution,[status(thm)],[c8,c13]) ).
cnf(d1,plain,
( ~ member(pair(sk2(X0),X1),trancl(r))
| ~ member(pair(x,X0),r)
| member(pair(X0,X1),trancl(r)) ),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( ~ member(pair(sk2(X0),X1),r)
| ~ member(pair(x,X0),r)
| member(pair(X0,X1),trancl(r)) ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( ~ member(pair(X1,X2),r)
| ~ member(pair(X1,sk2(X0)),r)
| ~ member(pair(x,X0),r)
| member(pair(X0,sk1(X1,sk2(X0),X2)),trancl(r)) ),
inference(resolution,[status(thm)],[d2,c9]) ).
cnf(d4,plain,
( ~ member(pair(z,sk1(X0,sk2(sk3),X1)),r)
| ~ member(pair(x,sk3),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,X1),r) ),
inference(resolution,[status(thm)],[d3,c16]) ).
cnf(d5,plain,
( ~ member(pair(z,sk1(X0,sk2(sk3),X1)),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,X1),r) ),
inference(resolution,[status(thm)],[c15,d4]) ).
cnf(d6,plain,
( ~ member(pair(X0,z),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,z),r) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d7,plain,
( ~ member(pair(x,sk3),r)
| ~ member(pair(y,z),r) ),
inference(resolution,[status(thm)],[d6,c14]) ).
cnf(d8,plain,
~ member(pair(x,sk3),r),
inference(resolution,[status(thm)],[c12,d7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[c15,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 23:17:29 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.91/4.38 % SZS status Unsatisfiable for theBenchmark.p
% 26.91/4.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------