%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:36:21 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:12:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.28 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.21/0.28
% 0.21/0.28 % SZS status Unsatisfiable
% 0.21/0.28
% 0.21/0.28 % SZS output start Proof
% 0.21/0.28 Axiom 1 (ha_equals_ga): compose(h, a) = compose(g, a).
% 0.21/0.28 Axiom 2 (associativity_of_compose): compose(X, compose(Y, Z)) = compose(compose(X, Y), Z).
% 0.21/0.28 Axiom 3 (ifeq_axiom): ifeq4(X, X, Y, Z) = Y.
% 0.21/0.28 Axiom 4 (epimorphism): ifeq4(compose(X, compose(a, b)), Y, ifeq4(compose(Z, compose(a, b)), Y, Z, X), X) = X.
% 0.21/0.28
% 0.21/0.28 Goal 1 (prove_g_equals_h): g = h.
% 0.21/0.28 Proof:
% 0.21/0.28 g
% 0.21/0.28 = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.28 ifeq4(compose(h, compose(a, b)), compose(h, compose(a, b)), g, h)
% 0.21/0.28 = { by axiom 2 (associativity_of_compose) }
% 0.21/0.28 ifeq4(compose(compose(h, a), b), compose(h, compose(a, b)), g, h)
% 0.21/0.28 = { by axiom 1 (ha_equals_ga) }
% 0.21/0.28 ifeq4(compose(compose(g, a), b), compose(h, compose(a, b)), g, h)
% 0.21/0.28 = { by axiom 2 (associativity_of_compose) R->L }
% 0.21/0.28 ifeq4(compose(g, compose(a, b)), compose(h, compose(a, b)), g, h)
% 0.21/0.28 = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.28 ifeq4(compose(h, compose(a, b)), compose(h, compose(a, b)), ifeq4(compose(g, compose(a, b)), compose(h, compose(a, b)), g, h), h)
% 0.21/0.28 = { by axiom 4 (epimorphism) }
% 0.21/0.28 h
% 0.21/0.28 % SZS output end Proof
% 0.21/0.28
% 0.21/0.28 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------