%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:35:23 AM UTC 2026
% Result : Unsatisfiable 0.33s 0.44s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.26 % Computer : n005.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.27 % DateTime : Mon Sep 28 21:03:31 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.44 Command-line arguments: --no-flatten-goal
% 0.33/0.44
% 0.33/0.44 % SZS status Unsatisfiable
% 0.33/0.44
% 0.33/0.44 % SZS output start Proof
% 0.33/0.44 Axiom 1 (additive_identity2): sum(X, additive_identity, X) = true.
% 0.33/0.44 Axiom 2 (additive_inverse1): sum(inverse(X), X, multiplicative_identity) = true.
% 0.33/0.44 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.33/0.44 Axiom 4 (addition_is_well_defined): ifeq2(sum(X, Y, Z), true, ifeq2(sum(X, Y, W), true, W, Z), Z) = Z.
% 0.33/0.44
% 0.33/0.44 Goal 1 (prove_equation): inverse(additive_identity) = multiplicative_identity.
% 0.33/0.44 Proof:
% 0.33/0.44 inverse(additive_identity)
% 0.33/0.44 = { by axiom 4 (addition_is_well_defined) R->L }
% 0.33/0.44 ifeq2(sum(inverse(additive_identity), additive_identity, inverse(additive_identity)), true, ifeq2(sum(inverse(additive_identity), additive_identity, multiplicative_identity), true, multiplicative_identity, inverse(additive_identity)), inverse(additive_identity))
% 0.33/0.44 = { by axiom 1 (additive_identity2) }
% 0.33/0.44 ifeq2(true, true, ifeq2(sum(inverse(additive_identity), additive_identity, multiplicative_identity), true, multiplicative_identity, inverse(additive_identity)), inverse(additive_identity))
% 0.33/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.33/0.44 ifeq2(sum(inverse(additive_identity), additive_identity, multiplicative_identity), true, multiplicative_identity, inverse(additive_identity))
% 0.33/0.44 = { by axiom 2 (additive_inverse1) }
% 0.33/0.44 ifeq2(true, true, multiplicative_identity, inverse(additive_identity))
% 0.33/0.44 = { by axiom 3 (ifeq_axiom) }
% 0.33/0.44 multiplicative_identity
% 0.33/0.45 % SZS output end Proof
% 0.33/0.45
% 0.33/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
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