%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET025-3 : 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 : n021.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 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ordered_pairs_are_small)
% Comments :
%------------------------------------------------------------------------------
cnf(150,plain,
~ little_set(ordered_pair(a,b)),
inference(cnf,[status(esa)],[prove_ordered_pairs_are_small]) ).
cnf(l0,plain,
~ little_set(ordered_pair(a,b)),
inference(instantiation,[status(thm)],[150]) ).
cnf(7,plain,
little_set(non_ordered_pair(X0,X1)),
inference(cnf,[status(esa)],[non_ordered_pair4]) ).
cnf(l5,plain,
little_set(non_ordered_pair(singleton_set(a),non_ordered_pair(a,b))),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
inference(cnf,[status(esa)],[ordered_pair]) ).
cnf(l4,plain,
ordered_pair(a,b) = non_ordered_pair(singleton_set(a),non_ordered_pair(a,b)),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET025-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 21 19:23:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 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: 7
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------