%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:09:50 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 18:39:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.09/0.44
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44
% 0.09/0.44 % SZS output start Proof
% 0.09/0.44 Axiom 1 (adding_zero): equalish(add(X, n0), X) = true.
% 0.09/0.44 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.44 Axiom 3 (smaller_number): ifeq(equalish(add(successor(X), Y), Z), true, less(Y, Z), true) = true.
% 0.09/0.44
% 0.09/0.44 Goal 1 (prove_zero_is_less_than_all_successors): less(n0, successor(a)) = true.
% 0.09/0.44 Proof:
% 0.09/0.44 less(n0, successor(a))
% 0.09/0.44 = { by axiom 2 (ifeq_axiom) R->L }
% 0.09/0.44 ifeq(true, true, less(n0, successor(a)), true)
% 0.09/0.44 = { by axiom 1 (adding_zero) R->L }
% 0.09/0.44 ifeq(equalish(add(successor(a), n0), successor(a)), true, less(n0, successor(a)), true)
% 0.09/0.44 = { by axiom 3 (smaller_number) }
% 0.09/0.44 true
% 0.09/0.44 % SZS output end Proof
% 0.09/0.44
% 0.09/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------