%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT005-4 : 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 : 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 10:43:50 AM UTC 2025
% Result : Unsatisfiable 88.25s 11.40s
% Output : CNFRefutation 88.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_domain_of_a_is_d)
% Comments :
%------------------------------------------------------------------------------
cnf(14,plain,
domain(a) != d,
inference(cnf,[status(esa)],[prove_domain_of_a_is_d]) ).
cnf(l0,plain,
domain(a) != d,
inference(instantiation,[status(thm)],[14]) ).
cnf(12,plain,
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
inference(cnf,[status(esa)],[xd_equals_x]) ).
cnf(l5,plain,
( ~ there_exists(compose(domain(a),d))
| compose(domain(a),d) = domain(a) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(4,plain,
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
inference(cnf,[status(esa)],[codomain_has_elements]) ).
cnf(l121,plain,
( ~ there_exists(codomain(d))
| there_exists(d) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(10,plain,
compose(codomain(X0),X0) = X0,
inference(cnf,[status(esa)],[compose_codomain]) ).
cnf(l368,plain,
compose(codomain(d),d) = d,
inference(instantiation,[status(thm)],[10]) ).
cnf(5,plain,
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
inference(cnf,[status(esa)],[composition_implies_domain]) ).
cnf(l131,plain,
( ~ there_exists(compose(a,d))
| there_exists(domain(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(cnf,[status(esa)],[domain_codomain_composition1]) ).
cnf(l55,plain,
( ~ there_exists(compose(a,d))
| domain(a) = codomain(d) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(11,plain,
there_exists(compose(a,d)),
inference(cnf,[status(esa)],[ad_exists]) ).
cnf(l73,plain,
there_exists(compose(a,d)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l165,plain,
there_exists(compose(a,d)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l130,plain,
( ~ there_exists(compose(a,d))
| domain(a) = codomain(d) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l172,plain,
there_exists(compose(a,d)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l71,plain,
( ~ there_exists(compose(a,d))
| domain(a) = codomain(d) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
compose(X0,domain(X0)) = X0,
inference(cnf,[status(esa)],[compose_domain]) ).
cnf(l178,plain,
compose(d,domain(d)) = d,
inference(instantiation,[status(thm)],[9]) ).
cnf(l74,plain,
there_exists(compose(a,d)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l207,plain,
compose(d,domain(d)) = d,
inference(instantiation,[status(thm)],[9]) ).
cnf(l168,plain,
compose(codomain(d),d) = d,
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l121,l368,l131,l55,l73,l165,l130,l172,l71,l178,l74,l207,l168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT005-4 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n025.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 : Sun Jul 20 05:12:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 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: 4
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.33 % launching worker at depth: 11
% 1.81/0.58 % launching worker at depth: 12
% 88.25/11.40 % SZS status Theorem for theBenchmark
% 88.25/11.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------