%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:48:42 PM UTC 2026
% Result : Theorem 0.07s 0.13s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.09 % Computer : n012.cluster.edu
% 0.00/0.09 % Model : x86_64 x86_64
% 0.00/0.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.09 % Memory : 8046.5625MB
% 0.00/0.09 % OS : Linux 6.8.0-71-generic
% 0.00/0.09 % CPULimit : 300
% 0.00/0.09 % WCLimit : 300
% 0.00/0.09 % DateTime : Mon Sep 28 17:17:33 UTC 2026
% 0.00/0.09 % CPUTime :
% 0.00/0.09 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.13 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.07/0.13
% 0.07/0.13 % SZS status Theorem
% 0.07/0.13
% 0.07/0.13 % SZS output start Proof
% 0.07/0.13 Axiom 1 (prove_this): p(a) = true.
% 0.07/0.13 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.07/0.13 Axiom 3 (prove_this_1): ifeq(p(X), true, r(Y), true) = true.
% 0.07/0.13
% 0.07/0.13 Goal 1 (prove_this_2): r(b) = true.
% 0.07/0.13 Proof:
% 0.07/0.13 r(b)
% 0.07/0.13 = { by axiom 2 (ifeq_axiom) R->L }
% 0.07/0.13 ifeq(true, true, r(b), true)
% 0.07/0.13 = { by axiom 1 (prove_this) R->L }
% 0.07/0.13 ifeq(p(a), true, r(b), true)
% 0.07/0.13 = { by axiom 3 (prove_this_1) }
% 0.07/0.13 true
% 0.07/0.13 % SZS output end Proof
% 0.07/0.13
% 0.07/0.13 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------