%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 10:09:04 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n008.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 09:14:54 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 Command-line arguments: --no-flatten-goal
% 0.22/0.55
% 0.22/0.55 % SZS status Unsatisfiable
% 0.22/0.55
% 0.22/0.55 % SZS output start Proof
% 0.22/0.55 Axiom 1 (right_inverse): product(X, inverse(X), identity) = true.
% 0.22/0.55 Axiom 2 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.22/0.55 Axiom 3 (total_function1): product(X, Y, multiply(X, Y)) = true.
% 0.22/0.55 Axiom 4 (total_function2): ifeq2(product(X, Y, Z), true, ifeq2(product(X, Y, W), true, W, Z), Z) = Z.
% 0.22/0.55
% 0.22/0.55 Goal 1 (prove_X_times_inverse_X_is_id): multiply(a, inverse(a)) = identity.
% 0.22/0.55 Proof:
% 0.22/0.55 multiply(a, inverse(a))
% 0.22/0.55 = { by axiom 4 (total_function2) R->L }
% 0.22/0.55 ifeq2(product(a, inverse(a), multiply(a, inverse(a))), true, ifeq2(product(a, inverse(a), identity), true, identity, multiply(a, inverse(a))), multiply(a, inverse(a)))
% 0.22/0.55 = { by axiom 1 (right_inverse) }
% 0.22/0.55 ifeq2(product(a, inverse(a), multiply(a, inverse(a))), true, ifeq2(true, true, identity, multiply(a, inverse(a))), multiply(a, inverse(a)))
% 0.22/0.55 = { by axiom 2 (ifeq_axiom) }
% 0.22/0.55 ifeq2(product(a, inverse(a), multiply(a, inverse(a))), true, identity, multiply(a, inverse(a)))
% 0.22/0.55 = { by axiom 3 (total_function1) }
% 0.22/0.55 ifeq2(true, true, identity, multiply(a, inverse(a)))
% 0.22/0.55 = { by axiom 2 (ifeq_axiom) }
% 0.22/0.55 identity
% 0.22/0.55 % SZS output end Proof
% 0.22/0.55
% 0.22/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
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