%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN986+1.000 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:48:44 PM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN986+1.000 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n011.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 17:19:30 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.25 Command-line arguments: --flatten --complete-subsets
% 0.11/0.25
% 0.11/0.25 % SZS status Theorem
% 0.11/0.25
% 0.11/0.25 % SZS output start Proof
% 0.11/0.25 Axiom 1 (hyp1): r(X, zero, succ(X)) = true.
% 0.11/0.25
% 0.11/0.25 Goal 1 (ck): r(zero, zero, X) = true.
% 0.11/0.25 The goal is true when:
% 0.11/0.25 X = succ(zero)
% 0.11/0.25
% 0.11/0.25 Proof:
% 0.11/0.25 r(zero, zero, succ(zero))
% 0.11/0.25 = { by axiom 1 (hyp1) }
% 0.11/0.25 true
% 0.11/0.25 % SZS output end Proof
% 0.11/0.25
% 0.11/0.25 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------