%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP160-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 06:27:00 PM UTC 2025
% Result : Unsatisfiable 0.09s 0.28s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ax_refla)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
least_upper_bound(a,a) != a,
inference(cnf,[status(esa)],[prove_ax_refla]) ).
cnf(l0,plain,
least_upper_bound(a,a) != a,
inference(instantiation,[status(thm)],[15]) ).
cnf(7,plain,
least_upper_bound(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_of_lub]) ).
cnf(l1,plain,
least_upper_bound(a,a) = a,
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP160-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 14:10:34 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % launching worker at depth: 1
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 4
% 0.09/0.28 % launching worker at depth: 3
% 0.09/0.28 % launching worker at depth: 2
% 0.09/0.28 % launching worker at depth: 6
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % SZS status Theorem for theBenchmark
% 0.09/0.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------