%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : HEN002-2 : 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 10:18:55 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 10:49:54 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 Command-line arguments: --flatten --complete-subsets
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43
% 0.13/0.43 % SZS output start Proof
% 0.13/0.43 Axiom 1 (zero_is_smallest): less_equal(zero, X) = true.
% 0.13/0.43 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.43 Axiom 3 (quotient_less_equal): ifeq(less_equal(X, Y), true, quotient(X, Y, zero), true) = true.
% 0.13/0.43
% 0.13/0.43 Goal 1 (prove_zero_divide_anything_is_zero): quotient(zero, x, zero) = true.
% 0.13/0.43 Proof:
% 0.13/0.43 quotient(zero, x, zero)
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.43 ifeq(true, true, quotient(zero, x, zero), true)
% 0.13/0.43 = { by axiom 1 (zero_is_smallest) R->L }
% 0.13/0.43 ifeq(less_equal(zero, x), true, quotient(zero, x, zero), true)
% 0.13/0.43 = { by axiom 3 (quotient_less_equal) }
% 0.13/0.43 true
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43
% 0.13/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------