%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 10:08:52 AM UTC 2026
% Result : Unsatisfiable 0.03s 0.44s
% Output : Proof 0.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n008.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 09:14:09 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.44 Command-line arguments: --no-flatten-goal
% 0.03/0.44
% 0.03/0.44 % SZS status Unsatisfiable
% 0.03/0.44
% 0.03/0.44 % SZS output start Proof
% 0.03/0.44 Axiom 1 (another_right_identity): product(X, c, X) = true.
% 0.03/0.44 Axiom 2 (left_identity): product(identity, X, X) = true.
% 0.03/0.44 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.03/0.44 Axiom 4 (total_function2): ifeq2(product(X, Y, Z), true, ifeq2(product(X, Y, W), true, W, Z), Z) = Z.
% 0.03/0.44
% 0.03/0.44 Goal 1 (prove_identity_equals_c): identity = c.
% 0.03/0.44 Proof:
% 0.03/0.44 identity
% 0.03/0.44 = { by axiom 4 (total_function2) R->L }
% 0.03/0.44 ifeq2(product(identity, c, identity), true, ifeq2(product(identity, c, c), true, c, identity), identity)
% 0.03/0.44 = { by axiom 1 (another_right_identity) }
% 0.03/0.45 ifeq2(true, true, ifeq2(product(identity, c, c), true, c, identity), identity)
% 0.03/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.03/0.45 ifeq2(product(identity, c, c), true, c, identity)
% 0.03/0.45 = { by axiom 2 (left_identity) }
% 0.03/0.45 ifeq2(true, true, c, identity)
% 0.03/0.45 = { by axiom 3 (ifeq_axiom) }
% 0.03/0.45 c
% 0.03/0.45 % SZS output end Proof
% 0.03/0.45
% 0.03/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------