%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET024-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 03:31:10 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_membership_of_singleton_set)
% Comments :
%------------------------------------------------------------------------------
cnf(150,plain,
~ member(a,singleton_set(a)),
inference(cnf,[status(esa)],[prove_membership_of_singleton_set]) ).
cnf(l0,plain,
~ member(a,singleton_set(a)),
inference(instantiation,[status(thm)],[150]) ).
cnf(6,plain,
( ~ little_set(X0)
| X0 != X1
| member(X0,non_ordered_pair(X2,X1)) ),
inference(cnf,[status(esa)],[non_ordered_pair3]) ).
cnf(l6,plain,
( ~ little_set(a)
| a != a
| member(a,non_ordered_pair(a,a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
singleton_set(X0) = non_ordered_pair(X0,X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l16,plain,
singleton_set(a) = non_ordered_pair(a,a),
inference(instantiation,[status(thm)],[8]) ).
cnf(149,plain,
little_set(a),
inference(cnf,[status(esa)],[a_little_set]) ).
cnf(l9,plain,
little_set(a),
inference(instantiation,[status(thm)],[149]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l16,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET024-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 19:22:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------