%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT014-1 : 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 10:43:52 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_codomain_is_idempotent)
% Comments :
%------------------------------------------------------------------------------
cnf(18,plain,
codomain(codomain(a)) != codomain(a),
inference(cnf,[status(esa)],[prove_codomain_is_idempotent]) ).
cnf(l0,plain,
codomain(codomain(a)) != codomain(a),
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[composition_is_well_defined]) ).
cnf(l1,plain,
( ~ product(codomain(codomain(a)),codomain(a),codomain(codomain(a)))
| ~ product(codomain(codomain(a)),codomain(a),codomain(a))
| codomain(codomain(a)) = codomain(a) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(15,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
inference(cnf,[status(esa)],[identity1]) ).
cnf(l4,plain,
( ~ defined(codomain(codomain(a)),codomain(a))
| ~ identity_map(codomain(codomain(a)))
| product(codomain(codomain(a)),codomain(a),codomain(a)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(16,plain,
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
inference(cnf,[status(esa)],[identity2]) ).
cnf(l2,plain,
( ~ defined(codomain(codomain(a)),codomain(a))
| ~ identity_map(codomain(a))
| product(codomain(codomain(a)),codomain(a),codomain(codomain(a))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(10,plain,
identity_map(codomain(X0)),
inference(cnf,[status(esa)],[codomain_is_an_identity_map]) ).
cnf(l7,plain,
identity_map(codomain(a)),
inference(instantiation,[status(thm)],[10]) ).
cnf(12,plain,
defined(codomain(X0),X0),
inference(cnf,[status(esa)],[mapping_from_codomain_of_x_to_x]) ).
cnf(l8,plain,
defined(codomain(codomain(a)),codomain(a)),
inference(instantiation,[status(thm)],[12]) ).
cnf(l6,plain,
identity_map(codomain(codomain(a))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l3,plain,
defined(codomain(codomain(a)),codomain(a)),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l7,l8,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CAT014-1 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Jul 20 05:16:04 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------