%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.17s 0.30s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n015.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 21:16:16 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.30 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.17/0.30
% 0.17/0.30 % SZS status Unsatisfiable
% 0.17/0.30
% 0.17/0.30 % SZS output start Proof
% 0.17/0.30 Axiom 1 (associativity_of_compose): compose(X, compose(Y, Z)) = compose(compose(X, Y), Z).
% 0.17/0.30 Axiom 2 (ab_h_equals_ab_g): compose(compose(a, b), h) = compose(compose(a, b), g).
% 0.17/0.30 Axiom 3 (ifeq_axiom): ifeq4(X, X, Y, Z) = Y.
% 0.17/0.30 Axiom 4 (cancellation_for_compose1): ifeq4(compose(a, X), Y, ifeq4(compose(a, Z), Y, Z, X), X) = X.
% 0.17/0.30 Axiom 5 (cancellation_for_compose2): ifeq4(compose(b, X), Y, ifeq4(compose(b, Z), Y, Z, X), X) = X.
% 0.17/0.30
% 0.17/0.30 Goal 1 (prove_g_equals_h): g = h.
% 0.17/0.30 Proof:
% 0.17/0.30 g
% 0.17/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.17/0.30 ifeq4(compose(b, h), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 4 (cancellation_for_compose1) R->L }
% 0.17/0.30 ifeq4(ifeq4(compose(a, compose(b, h)), compose(a, compose(b, h)), ifeq4(compose(a, compose(b, g)), compose(a, compose(b, h)), compose(b, g), compose(b, h)), compose(b, h)), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.17/0.30 ifeq4(ifeq4(compose(a, compose(b, g)), compose(a, compose(b, h)), compose(b, g), compose(b, h)), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 1 (associativity_of_compose) }
% 0.17/0.30 ifeq4(ifeq4(compose(compose(a, b), g), compose(a, compose(b, h)), compose(b, g), compose(b, h)), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 2 (ab_h_equals_ab_g) R->L }
% 0.17/0.30 ifeq4(ifeq4(compose(compose(a, b), h), compose(a, compose(b, h)), compose(b, g), compose(b, h)), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 1 (associativity_of_compose) R->L }
% 0.17/0.30 ifeq4(ifeq4(compose(a, compose(b, h)), compose(a, compose(b, h)), compose(b, g), compose(b, h)), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 3 (ifeq_axiom) }
% 0.17/0.30 ifeq4(compose(b, g), compose(b, h), g, h)
% 0.17/0.30 = { by axiom 3 (ifeq_axiom) R->L }
% 0.17/0.30 ifeq4(compose(b, h), compose(b, h), ifeq4(compose(b, g), compose(b, h), g, h), h)
% 0.17/0.30 = { by axiom 5 (cancellation_for_compose2) }
% 0.17/0.30 h
% 0.17/0.30 % SZS output end Proof
% 0.17/0.30
% 0.17/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
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