%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN361+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:47:39 PM UTC 2026
% Result : Theorem 0.08s 0.22s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN361+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n015.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:51:46 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.22 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.08/0.22
% 0.08/0.22 % SZS status Theorem
% 0.08/0.22
% 0.08/0.22 % SZS output start Proof
% 0.08/0.22 Axiom 1 (x2112_1): big_s(X) = true.
% 0.08/0.22 Axiom 2 (x2112): big_p(X, v) = true.
% 0.08/0.22 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.22 Axiom 4 (x2112_3): ifeq(big_s(X), true, big_q(y(X), X), true) = true.
% 0.08/0.22
% 0.08/0.22 Goal 1 (x2112_2): tuple(big_p(X, Y), big_q(X, Y)) = tuple(true, true).
% 0.08/0.22 The goal is true when:
% 0.08/0.22 X = y(v)
% 0.08/0.22 Y = v
% 0.08/0.22
% 0.08/0.22 Proof:
% 0.08/0.22 tuple(big_p(y(v), v), big_q(y(v), v))
% 0.08/0.22 = { by axiom 2 (x2112) }
% 0.08/0.22 tuple(true, big_q(y(v), v))
% 0.08/0.22 = { by axiom 3 (ifeq_axiom) R->L }
% 0.08/0.22 tuple(true, ifeq(true, true, big_q(y(v), v), true))
% 0.08/0.22 = { by axiom 1 (x2112_1) R->L }
% 0.08/0.22 tuple(true, ifeq(big_s(v), true, big_q(y(v), v), true))
% 0.08/0.22 = { by axiom 4 (x2112_3) }
% 0.08/0.22 tuple(true, true)
% 0.08/0.22 % SZS output end Proof
% 0.08/0.22
% 0.08/0.22 RESULT: Theorem (the conjecture is true).
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