%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP146-1 : 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 : n031.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 06:26:59 PM UTC 2025
% Result : Unsatisfiable 11.63s 1.81s
% Output : CNFRefutation 11.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ax_lub1a)
% Comments :
%------------------------------------------------------------------------------
cnf(17,plain,
least_upper_bound(least_upper_bound(a,b),c) != c,
inference(cnf,[status(esa)],[prove_ax_lub1a]) ).
cnf(l0,plain,
least_upper_bound(least_upper_bound(a,b),c) != c,
inference(instantiation,[status(thm)],[17]) ).
cnf(6,plain,
least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
inference(cnf,[status(esa)],[associativity_of_lub]) ).
cnf(l3,plain,
least_upper_bound(a,least_upper_bound(b,c)) = least_upper_bound(least_upper_bound(a,b),c),
inference(instantiation,[status(thm)],[6]) ).
cnf(15,plain,
least_upper_bound(a,c) = c,
inference(cnf,[status(esa)],[ax_lub1a_1]) ).
cnf(l13,plain,
least_upper_bound(a,c) = c,
inference(instantiation,[status(thm)],[15]) ).
cnf(16,plain,
least_upper_bound(b,c) = c,
inference(cnf,[status(esa)],[ax_lub1a_2]) ).
cnf(l11,plain,
least_upper_bound(b,c) = c,
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l13,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP146-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 14:09:03 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.14/0.30 % launching worker at depth: 10
% 0.14/0.32 % launching worker at depth: 11
% 11.63/1.81 % SZS status Theorem for theBenchmark
% 11.63/1.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------