%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 01:48:39 PM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:15:36 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 Command-line arguments: --flatten --complete-subsets
% 0.08/0.26
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26
% 0.08/0.26 % SZS output start Proof
% 0.08/0.26 Axiom 1 (prove_this): s(a) = true.
% 0.08/0.26 Axiom 2 (prove_this_1): s(b) = true.
% 0.08/0.26 Axiom 3 (prove_this_2): r(b, c) = true.
% 0.08/0.26 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.26 Axiom 5 (prove_this_3): ifeq(s(X), true, p(X), true) = true.
% 0.08/0.26 Axiom 6 (prove_this_4): ifeq(r(X, Y), true, q(X, Y), true) = true.
% 0.08/0.26
% 0.08/0.26 Goal 1 (prove_this_5): tuple(p(X), q(X, Y)) = tuple(true, true).
% 0.08/0.26 The goal is true when:
% 0.08/0.26 X = b
% 0.08/0.26 Y = c
% 0.08/0.26
% 0.08/0.26 Proof:
% 0.08/0.26 tuple(p(b), q(b, c))
% 0.08/0.26 = { by axiom 4 (ifeq_axiom) R->L }
% 0.08/0.26 tuple(p(b), ifeq(s(a), s(a), q(b, c), s(a)))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(p(b), ifeq(true, s(a), q(b, c), s(a)))
% 0.08/0.26 = { by axiom 3 (prove_this_2) R->L }
% 0.08/0.26 tuple(p(b), ifeq(r(b, c), s(a), q(b, c), s(a)))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(p(b), ifeq(r(b, c), true, q(b, c), s(a)))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(p(b), ifeq(r(b, c), true, q(b, c), true))
% 0.08/0.26 = { by axiom 6 (prove_this_4) }
% 0.08/0.26 tuple(p(b), true)
% 0.08/0.26 = { by axiom 1 (prove_this) R->L }
% 0.08/0.26 tuple(p(b), s(a))
% 0.08/0.26 = { by axiom 4 (ifeq_axiom) R->L }
% 0.08/0.26 tuple(ifeq(s(a), s(a), p(b), s(a)), s(a))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(ifeq(true, s(a), p(b), s(a)), s(a))
% 0.08/0.26 = { by axiom 2 (prove_this_1) R->L }
% 0.08/0.26 tuple(ifeq(s(b), s(a), p(b), s(a)), s(a))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(ifeq(s(b), true, p(b), s(a)), s(a))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(ifeq(s(b), true, p(b), true), s(a))
% 0.08/0.26 = { by axiom 5 (prove_this_3) }
% 0.08/0.26 tuple(true, s(a))
% 0.08/0.26 = { by axiom 1 (prove_this) }
% 0.08/0.26 tuple(true, true)
% 0.08/0.26 % SZS output end Proof
% 0.08/0.26
% 0.08/0.26 RESULT: Theorem (the conjecture is true).
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