%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM009-1 : 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 : n023.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 12:27:29 PM UTC 2025
% Result : Unsatisfiable 2.35s 0.64s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_zero_is_a_natural)
% Comments :
%------------------------------------------------------------------------------
cnf(219,plain,
~ member(empty_set,natural_numbers),
inference(cnf,[status(esa)],[prove_zero_is_a_natural]) ).
cnf(l0,plain,
~ member(empty_set,natural_numbers),
inference(instantiation,[status(thm)],[219]) ).
cnf(168,plain,
( ~ little_set(X0)
| member(X0,natural_numbers)
| member(empty_set,f44(X0)) ),
inference(cnf,[status(esa)],[natural_numbers4]) ).
cnf(l1,plain,
( ~ little_set(empty_set)
| member(empty_set,natural_numbers)
| member(empty_set,f44(empty_set)) ),
inference(instantiation,[status(thm)],[168]) ).
cnf(0,plain,
( ~ member(X0,X1)
| little_set(X0) ),
inference(cnf,[status(esa)],[a2]) ).
cnf(l3,plain,
( ~ member(empty_set,infinity)
| little_set(empty_set) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(170,plain,
( ~ member(X0,f44(X0))
| member(X0,natural_numbers) ),
inference(cnf,[status(esa)],[natural_numbers6]) ).
cnf(l2,plain,
( ~ member(empty_set,f44(empty_set))
| member(empty_set,natural_numbers) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(60,plain,
member(empty_set,infinity),
inference(cnf,[status(esa)],[infinity2]) ).
cnf(l7,plain,
member(empty_set,infinity),
inference(instantiation,[status(thm)],[60]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM009-1 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 10:12:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 2.35/0.64 % SZS status Theorem for theBenchmark
% 2.35/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------