%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET117-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 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 03:31:36 PM UTC 2025
% Result : Unsatisfiable 1.66s 0.55s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_1_to_ordered_pairs_are_sets_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
ordered_pair(first(x),second(x)) = x,
inference(cnf,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_1]) ).
cnf(l0,plain,
ordered_pair(first(x),second(x)) = x,
inference(instantiation,[status(thm)],[91]) ).
cnf(12,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf,[status(esa)],[ordered_pair]) ).
cnf(l23,plain,
unordered_pair(singleton(first(x)),unordered_pair(first(x),singleton(second(x)))) = ordered_pair(first(x),second(x)),
inference(instantiation,[status(thm)],[12]) ).
cnf(10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(l19,plain,
member(unordered_pair(singleton(first(x)),unordered_pair(first(x),singleton(second(x)))),universal_class),
inference(instantiation,[status(thm)],[10]) ).
cnf(92,plain,
~ member(x,universal_class),
inference(cnf,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
cnf(l9,plain,
~ member(x,universal_class),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l23,l19,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET117-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 20:02:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.19/0.39 % launching worker at depth: 10
% 1.66/0.55 % SZS status Theorem for theBenchmark
% 1.66/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------