%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 1.30s 0.45s
% Output : Proof 1.30s
% 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 : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:15:37 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/0.45 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
% 1.30/0.45
% 1.30/0.45 % SZS status Unsatisfiable
% 1.30/0.45
% 1.30/0.45 % SZS output start Proof
% 1.30/0.45 Axiom 1 (h_ab_equals_g_ab): compose(h, compose(a, b)) = compose(g, compose(a, b)).
% 1.30/0.45 Axiom 2 (associativity_of_compose): compose(X, compose(Y, Z)) = compose(compose(X, Y), Z).
% 1.30/0.45 Axiom 3 (ifeq_axiom): ifeq4(X, X, Y, Z) = Y.
% 1.30/0.45 Axiom 4 (cancellation_for_product1): ifeq4(compose(X, a), Y, ifeq4(compose(Z, a), Y, Z, X), X) = X.
% 1.30/0.45 Axiom 5 (cancellation_for_product2): ifeq4(compose(X, b), Y, ifeq4(compose(Z, b), Y, Z, X), X) = X.
% 1.30/0.45
% 1.30/0.45 Goal 1 (prove_h_equals_g): h = g.
% 1.30/0.45 Proof:
% 1.30/0.45 h
% 1.30/0.45 = { by axiom 4 (cancellation_for_product1) R->L }
% 1.30/0.45 ifeq4(compose(h, a), compose(h, a), ifeq4(compose(g, a), compose(h, a), g, h), h)
% 1.30/0.45 = { by axiom 3 (ifeq_axiom) }
% 1.30/0.45 ifeq4(compose(g, a), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 1.30/0.45 ifeq4(ifeq4(compose(h, compose(a, b)), compose(h, compose(a, b)), compose(g, a), compose(h, a)), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 1 (h_ab_equals_g_ab) }
% 1.30/0.45 ifeq4(ifeq4(compose(g, compose(a, b)), compose(h, compose(a, b)), compose(g, a), compose(h, a)), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 2 (associativity_of_compose) }
% 1.30/0.45 ifeq4(ifeq4(compose(g, compose(a, b)), compose(compose(h, a), b), compose(g, a), compose(h, a)), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 2 (associativity_of_compose) }
% 1.30/0.45 ifeq4(ifeq4(compose(compose(g, a), b), compose(compose(h, a), b), compose(g, a), compose(h, a)), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 3 (ifeq_axiom) R->L }
% 1.30/0.45 ifeq4(ifeq4(compose(compose(h, a), b), compose(compose(h, a), b), ifeq4(compose(compose(g, a), b), compose(compose(h, a), b), compose(g, a), compose(h, a)), compose(h, a)), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 5 (cancellation_for_product2) }
% 1.30/0.45 ifeq4(compose(h, a), compose(h, a), g, h)
% 1.30/0.45 = { by axiom 3 (ifeq_axiom) }
% 1.30/0.45 g
% 1.30/0.45 % SZS output end Proof
% 1.30/0.45
% 1.30/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
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