%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL098-1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.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 : 300s
% DateTime : Thu Jul 24 10:52:23 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named diamond_strip_lemmaD_2c1)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
member(pair(x,sk3),r),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2c1]) ).
cnf(l0,plain,
member(pair(x,sk3),r),
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
( ~ member(pair(x,X0),r)
| member(pair(X0,sk2(X0)),trancl(r)) ),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2h5]) ).
cnf(l1,plain,
( ~ member(pair(x,sk3),r)
| member(pair(sk3,sk2(sk3)),trancl(r)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(8,plain,
( ~ member(pair(X0,X1),X2)
| ~ member(pair(X1,X3),X2)
| ~ trans(X2)
| member(pair(X0,X3),X2) ),
inference(cnf,[status(esa)],[transD]) ).
cnf(l2,plain,
( ~ member(pair(sk3,sk2(sk3)),trancl(r))
| ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r))
| ~ trans(trancl(r))
| member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
trans(trancl(X0)),
inference(cnf,[status(esa)],[trans_trancl]) ).
cnf(l49,plain,
trans(trancl(r)),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ member(pair(X0,X1),X2)
| member(pair(X0,X1),trancl(X2)) ),
inference(cnf,[status(esa)],[r_into_trancl]) ).
cnf(l7,plain,
( ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r)
| member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
( ~ member(pair(X0,X1),r)
| ~ member(pair(X0,X2),r)
| member(pair(X1,sk1(X0,X1,X2)),r) ),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2h1]) ).
cnf(l10,plain,
( ~ member(pair(y,sk2(sk3)),r)
| ~ member(pair(y,z),r)
| member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(16,plain,
( ~ member(pair(sk3,X0),trancl(r))
| ~ member(pair(z,X0),r) ),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2c2]) ).
cnf(l4,plain,
( ~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(z,sk1(y,sk2(sk3),z)),r) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(10,plain,
( ~ member(pair(X0,X1),r)
| ~ member(pair(X0,X2),r)
| member(pair(X2,sk1(X0,X1,X2)),r) ),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2h2]) ).
cnf(l6,plain,
( ~ member(pair(y,sk2(sk3)),r)
| ~ member(pair(y,z),r)
| member(pair(z,sk1(y,sk2(sk3),z)),r) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(12,plain,
member(pair(y,z),r),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2h4]) ).
cnf(l17,plain,
member(pair(y,z),r),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
( ~ member(pair(x,X0),r)
| member(pair(y,sk2(X0)),r) ),
inference(cnf,[status(esa)],[diamond_strip_lemmaD_2h6]) ).
cnf(l19,plain,
( ~ member(pair(x,sk3),r)
| member(pair(y,sk2(sk3)),r) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l15,plain,
( ~ member(pair(x,sk3),r)
| member(pair(y,sk2(sk3)),r) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l16,plain,
member(pair(y,z),r),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l49,l7,l10,l4,l6,l17,l19,l15,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : COL098-1 : TPTP v9.0.0. Released v2.7.0.
% 0.05/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 05:59:19 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.09/0.31 % launching worker at depth: 11
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------