%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT011-2 : 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 : n020.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 10:43:51 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_domain_is_idempotent)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
domain(domain(a)) != domain(a),
inference(cnf,[status(esa)],[prove_domain_is_idempotent]) ).
cnf(l0,plain,
domain(domain(a)) != domain(a),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
compose(domain(X0),X0) = X0,
inference(cnf,[status(esa)],[domain_composition]) ).
cnf(l10,plain,
compose(domain(a),a) = a,
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( codomain(X0) != domain(X1)
| domain(compose(X0,X1)) = domain(X0) ),
inference(cnf,[status(esa)],[codomain_domain1]) ).
cnf(l3,plain,
( codomain(domain(a)) != domain(a)
| domain(compose(domain(a),a)) = domain(domain(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
codomain(domain(X0)) = domain(X0),
inference(cnf,[status(esa)],[codomain_of_domain_is_domain]) ).
cnf(l4,plain,
codomain(domain(a)) = domain(a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT011-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 05:14:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 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: 6
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------