%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM025-2 : TPTP v9.0.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Fri Jul 25 12:27:31 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_b_not_less_than_a)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
~ greater_or_equalish(b,a),
inference(cnf,[status(esa)],[prove_b_not_less_than_a]) ).
cnf(l0,plain,
~ greater_or_equalish(b,a),
inference(instantiation,[status(thm)],[15]) ).
cnf(9,plain,
( ~ greater_or_equalish(X0,X1)
| greater_or_equalish(X2,X1)
| greater_or_equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less]) ).
cnf(l1,plain,
( ~ greater_or_equalish(b,b)
| greater_or_equalish(a,b)
| greater_or_equalish(b,a) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(14,plain,
~ greater_or_equalish(a,b),
inference(cnf,[status(esa)],[a_less_than_b]) ).
cnf(l3,plain,
~ greater_or_equalish(a,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
greater_or_equalish(X0,X0),
inference(cnf,[status(esa)],[no_number_less_than_itself]) ).
cnf(l2,plain,
greater_or_equalish(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM025-2 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 10:14:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------