%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT017-4 : 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 : n027.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 : Thu Jul 24 10:43:53 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_codomain_of_a_exists)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
~ there_exists(codomain(a)),
inference(cnf,[status(esa)],[prove_codomain_of_a_exists]) ).
cnf(l0,plain,
~ there_exists(codomain(a)),
inference(instantiation,[status(thm)],[12]) ).
cnf(3,plain,
( ~ there_exists(domain(X0))
| there_exists(X0) ),
inference(cnf,[status(esa)],[domain_has_elements]) ).
cnf(l1,plain,
( ~ there_exists(domain(codomain(a)))
| there_exists(codomain(a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
inference(cnf,[status(esa)],[composition_implies_domain]) ).
cnf(l2,plain,
( ~ there_exists(compose(codomain(a),a))
| there_exists(domain(codomain(a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(11,plain,
there_exists(a),
inference(cnf,[status(esa)],[assume_a_exists]) ).
cnf(l25,plain,
there_exists(a),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
compose(codomain(X0),X0) = X0,
inference(cnf,[status(esa)],[compose_codomain]) ).
cnf(l13,plain,
compose(codomain(a),a) = a,
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l25,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : CAT017-4 : TPTP v9.0.0. Released v1.0.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n027.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sun Jul 20 05:17:03 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 9
% 0.11/0.26 % launching worker at depth: 10
% 0.11/0.26 % launching worker at depth: 11
% 0.11/0.30 % launching worker at depth: 12
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------