%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT012-3 : 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 : Thu Jul 24 10:43:52 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_codomain_of_domain_is_domain)
% Comments :
%------------------------------------------------------------------------------
cnf(18,plain,
codomain(domain(a)) != domain(a),
inference(cnf,[status(esa)],[prove_codomain_of_domain_is_domain]) ).
cnf(l0,plain,
codomain(domain(a)) != domain(a),
inference(instantiation,[status(thm)],[18]) ).
cnf(6,plain,
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(cnf,[status(esa)],[domain_codomain_composition1]) ).
cnf(l2,plain,
( ~ there_exists(compose(a,domain(a)))
| domain(a) = codomain(domain(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( ~ there_exists(domain(X0))
| there_exists(X0) ),
inference(cnf,[status(esa)],[domain_has_elements]) ).
cnf(l7,plain,
( ~ there_exists(domain(a))
| there_exists(a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(17,plain,
there_exists(domain(a)),
inference(cnf,[status(esa)],[assume_domain_exists]) ).
cnf(l13,plain,
there_exists(domain(a)),
inference(instantiation,[status(thm)],[17]) ).
cnf(9,plain,
compose(X0,domain(X0)) = X0,
inference(cnf,[status(esa)],[compose_domain]) ).
cnf(l41,plain,
compose(a,domain(a)) = a,
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l7,l13,l41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : CAT012-3 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 05:15:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------