%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT006-1 : 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 : n026.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 20.52s 2.93s
% Output : CNFRefutation 20.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_codomain_of_a_is_h)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
codomain(a) != h,
inference(cnf,[status(esa)],[prove_codomain_of_a_is_h]) ).
cnf(l0,plain,
codomain(a) != h,
inference(instantiation,[status(thm)],[20]) ).
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(h,codomain(a),codomain(a))
| ~ product(h,codomain(a),h)
| codomain(a) = h ),
inference(instantiation,[status(thm)],[17]) ).
cnf(15,plain,
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
inference(cnf,[status(esa)],[identity1]) ).
cnf(l2,plain,
( ~ defined(h,codomain(a))
| ~ identity_map(h)
| product(h,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(l4,plain,
( ~ defined(h,codomain(a))
| ~ identity_map(codomain(a))
| product(h,codomain(a),h) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(19,plain,
identity_map(h),
inference(cnf,[status(esa)],[h_is_the_identity_map]) ).
cnf(l7,plain,
identity_map(h),
inference(instantiation,[status(thm)],[19]) ).
cnf(5,plain,
( ~ defined(X0,X1)
| ~ product(X2,X3,X1)
| defined(X0,X2) ),
inference(cnf,[status(esa)],[category_theory_axiom3]) ).
cnf(l12,plain,
( ~ defined(h,a)
| ~ product(codomain(a),a,a)
| defined(h,codomain(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(10,plain,
identity_map(codomain(X0)),
inference(cnf,[status(esa)],[codomain_is_an_identity_map]) ).
cnf(l11,plain,
identity_map(codomain(a)),
inference(instantiation,[status(thm)],[10]) ).
cnf(18,plain,
defined(h,a),
inference(cnf,[status(esa)],[ha_defined]) ).
cnf(l17,plain,
defined(h,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l3,plain,
( ~ defined(h,a)
| ~ product(codomain(a),a,a)
| defined(h,codomain(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(14,plain,
product(codomain(X0),X0,X0),
inference(cnf,[status(esa)],[product_on_codomain]) ).
cnf(l19,plain,
product(codomain(a),a,a),
inference(instantiation,[status(thm)],[14]) ).
cnf(l10,plain,
defined(h,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l16,plain,
product(codomain(a),a,a),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l7,l12,l11,l17,l3,l19,l10,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : CAT006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.01/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 05:12:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 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: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.18/0.38 % launching worker at depth: 11
% 20.52/2.93 % SZS status Theorem for theBenchmark
% 20.52/2.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------