%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM023-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_zero_is_less_than_all_successors)
% Comments :
%------------------------------------------------------------------------------
cnf(14,plain,
~ less(n0,successor(a)),
inference(cnf,[status(esa)],[prove_zero_is_less_than_all_successors]) ).
cnf(l0,plain,
~ less(n0,successor(a)),
inference(instantiation,[status(thm)],[14]) ).
cnf(7,plain,
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
inference(cnf,[status(esa)],[smaller_number]) ).
cnf(l1,plain,
( ~ equalish(add(successor(a),n0),successor(a))
| less(n0,successor(a)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
equalish(add(X0,n0),X0),
inference(cnf,[status(esa)],[adding_zero]) ).
cnf(l2,plain,
equalish(add(successor(a),n0),successor(a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM023-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 10:14:19 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------