%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:36:22 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.29s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n016.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 21:18:03 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.29 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.11/0.29
% 0.11/0.29 % SZS status Unsatisfiable
% 0.11/0.29
% 0.11/0.29 % SZS output start Proof
% 0.11/0.29 Axiom 1 (domain_of_a_equals_codomain_of_b): domain(a) = codomain(b).
% 0.11/0.29 Axiom 2 (domain_is_an_identity_map): identity_map(domain(X)) = true.
% 0.11/0.29 Axiom 3 (mapping_from_x_to_its_domain): defined(X, domain(X)) = true.
% 0.54/0.29 Axiom 4 (mapping_from_codomain_of_x_to_x): defined(codomain(X), X) = true.
% 0.54/0.29 Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.54/0.29 Axiom 6 (category_theory_axiom6): ifeq(identity_map(X), true, ifeq(defined(X, Y), true, ifeq(defined(Z, X), true, defined(Z, Y), true), true), true) = true.
% 0.54/0.29
% 0.54/0.29 Goal 1 (prove_ab_is_defined): defined(a, b) = true.
% 0.54/0.29 Proof:
% 0.54/0.29 defined(a, b)
% 0.54/0.29 = { by axiom 5 (ifeq_axiom) R->L }
% 0.54/0.29 ifeq(true, true, defined(a, b), true)
% 0.54/0.29 = { by axiom 4 (mapping_from_codomain_of_x_to_x) R->L }
% 0.54/0.29 ifeq(defined(codomain(b), b), true, defined(a, b), true)
% 0.54/0.29 = { by axiom 1 (domain_of_a_equals_codomain_of_b) R->L }
% 0.54/0.29 ifeq(defined(domain(a), b), true, defined(a, b), true)
% 0.54/0.29 = { by axiom 5 (ifeq_axiom) R->L }
% 0.54/0.29 ifeq(defined(domain(a), b), true, ifeq(true, true, defined(a, b), true), true)
% 0.54/0.29 = { by axiom 5 (ifeq_axiom) R->L }
% 0.54/0.29 ifeq(true, true, ifeq(defined(domain(a), b), true, ifeq(true, true, defined(a, b), true), true), true)
% 0.54/0.29 = { by axiom 2 (domain_is_an_identity_map) R->L }
% 0.54/0.29 ifeq(identity_map(domain(a)), true, ifeq(defined(domain(a), b), true, ifeq(true, true, defined(a, b), true), true), true)
% 0.54/0.29 = { by axiom 3 (mapping_from_x_to_its_domain) R->L }
% 0.54/0.29 ifeq(identity_map(domain(a)), true, ifeq(defined(domain(a), b), true, ifeq(defined(a, domain(a)), true, defined(a, b), true), true), true)
% 0.54/0.29 = { by axiom 6 (category_theory_axiom6) }
% 0.54/0.29 true
% 0.54/0.29 % SZS output end Proof
% 0.54/0.29
% 0.54/0.29 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------