%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CAT011-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:23 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 21:11:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 Command-line arguments: --flatten --complete-subsets
% 0.07/0.26
% 0.07/0.26 % SZS status Unsatisfiable
% 0.07/0.26
% 0.07/0.26 % SZS output start Proof
% 0.07/0.26 Axiom 1 (codomain_of_domain_is_domain): codomain(domain(X)) = domain(X).
% 0.07/0.26 Axiom 2 (domain_of_codomain_is_codomain): domain(codomain(X)) = codomain(X).
% 0.07/0.26
% 0.07/0.26 Goal 1 (prove_domain_is_idempotent): domain(domain(a)) = domain(a).
% 0.07/0.26 Proof:
% 0.07/0.26 domain(domain(a))
% 0.07/0.26 = { by axiom 1 (codomain_of_domain_is_domain) R->L }
% 0.07/0.26 domain(codomain(domain(a)))
% 0.07/0.26 = { by axiom 2 (domain_of_codomain_is_codomain) }
% 0.07/0.26 codomain(domain(a))
% 0.07/0.26 = { by axiom 1 (codomain_of_domain_is_domain) }
% 0.07/0.26 domain(a)
% 0.07/0.26 % SZS output end Proof
% 0.07/0.26
% 0.07/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------