%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 0.13s 0.44s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 09:13:36 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44 Command-line arguments: --no-flatten-goal
% 0.13/0.44
% 0.13/0.44 % SZS status Unsatisfiable
% 0.13/0.44
% 0.13/0.44 % SZS output start Proof
% 0.13/0.44 Axiom 1 (right_identity): product(X, identity, X) = true.
% 0.13/0.44 Axiom 2 (left_inverse): product(inverse(X), X, identity) = true.
% 0.13/0.44 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.13/0.44 Axiom 4 (total_function2): ifeq2(product(X, Y, Z), true, ifeq2(product(X, Y, W), true, W, Z), Z) = Z.
% 0.13/0.44
% 0.13/0.44 Goal 1 (prove_inverse_of_id_is_id): inverse(identity) = identity.
% 0.13/0.44 Proof:
% 0.13/0.44 inverse(identity)
% 0.13/0.44 = { by axiom 4 (total_function2) R->L }
% 0.13/0.44 ifeq2(product(inverse(identity), identity, inverse(identity)), true, ifeq2(product(inverse(identity), identity, identity), true, identity, inverse(identity)), inverse(identity))
% 0.13/0.44 = { by axiom 1 (right_identity) }
% 0.13/0.44 ifeq2(true, true, ifeq2(product(inverse(identity), identity, identity), true, identity, inverse(identity)), inverse(identity))
% 0.13/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.44 ifeq2(product(inverse(identity), identity, identity), true, identity, inverse(identity))
% 0.13/0.44 = { by axiom 2 (left_inverse) }
% 0.13/0.44 ifeq2(true, true, identity, inverse(identity))
% 0.13/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.13/0.44 identity
% 0.13/0.44 % SZS output end Proof
% 0.13/0.44
% 0.13/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
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