TSTP Solution File: COM018+1 by Duper---1.0
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% File : Duper---1.0
% Problem : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:38:08 EDT 2023
% Result : Theorem 5.00s 5.18s
% Output : Proof 5.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 13:15:40 EDT 2023
% 0.20/0.34 % CPUTime :
% 5.00/5.18 SZS status Theorem for theBenchmark.p
% 5.00/5.18 SZS output start Proof for theBenchmark.p
% 5.00/5.18 Clause #13 (by assumption #[]): Eq
% 5.00/5.18 (∀ (W0 : Iota),
% 5.00/5.18 And (aRewritingSystem0 W0) (isTerminating0 W0) →
% 5.00/5.18 ∀ (W1 : Iota), aElement0 W1 → Exists fun W2 => aNormalFormOfIn0 W2 W1 W0)
% 5.00/5.18 True
% 5.00/5.18 Clause #14 (by assumption #[]): Eq (aRewritingSystem0 xR) True
% 5.00/5.18 Clause #15 (by assumption #[]): Eq (And (isLocallyConfluent0 xR) (isTerminating0 xR)) True
% 5.00/5.18 Clause #21 (by assumption #[]): Eq (And (And (aElement0 xw) (sdtmndtasgtdt0 xu xR xw)) (sdtmndtasgtdt0 xv xR xw)) True
% 5.00/5.18 Clause #22 (by assumption #[]): Eq (Not (Exists fun W0 => aNormalFormOfIn0 W0 xw xR)) True
% 5.00/5.18 Clause #32 (by clausification #[15]): Eq (isTerminating0 xR) True
% 5.00/5.18 Clause #70 (by clausification #[22]): Eq (Exists fun W0 => aNormalFormOfIn0 W0 xw xR) False
% 5.00/5.18 Clause #71 (by clausification #[70]): ∀ (a : Iota), Eq (aNormalFormOfIn0 a xw xR) False
% 5.00/5.18 Clause #113 (by clausification #[13]): ∀ (a : Iota),
% 5.00/5.18 Eq
% 5.00/5.18 (And (aRewritingSystem0 a) (isTerminating0 a) →
% 5.00/5.18 ∀ (W1 : Iota), aElement0 W1 → Exists fun W2 => aNormalFormOfIn0 W2 W1 a)
% 5.00/5.18 True
% 5.00/5.18 Clause #114 (by clausification #[113]): ∀ (a : Iota),
% 5.00/5.18 Or (Eq (And (aRewritingSystem0 a) (isTerminating0 a)) False)
% 5.00/5.18 (Eq (∀ (W1 : Iota), aElement0 W1 → Exists fun W2 => aNormalFormOfIn0 W2 W1 a) True)
% 5.00/5.18 Clause #115 (by clausification #[114]): ∀ (a : Iota),
% 5.00/5.18 Or (Eq (∀ (W1 : Iota), aElement0 W1 → Exists fun W2 => aNormalFormOfIn0 W2 W1 a) True)
% 5.00/5.18 (Or (Eq (aRewritingSystem0 a) False) (Eq (isTerminating0 a) False))
% 5.00/5.18 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota),
% 5.00/5.18 Or (Eq (aRewritingSystem0 a) False)
% 5.00/5.18 (Or (Eq (isTerminating0 a) False) (Eq (aElement0 a_1 → Exists fun W2 => aNormalFormOfIn0 W2 a_1 a) True))
% 5.00/5.18 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota),
% 5.00/5.18 Or (Eq (aRewritingSystem0 a) False)
% 5.00/5.18 (Or (Eq (isTerminating0 a) False)
% 5.00/5.18 (Or (Eq (aElement0 a_1) False) (Eq (Exists fun W2 => aNormalFormOfIn0 W2 a_1 a) True)))
% 5.00/5.18 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.18 Or (Eq (aRewritingSystem0 a) False)
% 5.00/5.18 (Or (Eq (isTerminating0 a) False)
% 5.00/5.18 (Or (Eq (aElement0 a_1) False) (Eq (aNormalFormOfIn0 (skS.0 0 a_1 a a_2) a_1 a) True)))
% 5.00/5.18 Clause #119 (by superposition #[118, 14]): ∀ (a a_1 : Iota),
% 5.00/5.18 Or (Eq (isTerminating0 xR) False)
% 5.00/5.18 (Or (Eq (aElement0 a) False) (Or (Eq (aNormalFormOfIn0 (skS.0 0 a xR a_1) a xR) True) (Eq False True)))
% 5.00/5.18 Clause #121 (by clausification #[21]): Eq (And (aElement0 xw) (sdtmndtasgtdt0 xu xR xw)) True
% 5.00/5.18 Clause #123 (by clausification #[121]): Eq (aElement0 xw) True
% 5.00/5.18 Clause #518 (by clausification #[119]): ∀ (a a_1 : Iota),
% 5.00/5.18 Or (Eq (isTerminating0 xR) False) (Or (Eq (aElement0 a) False) (Eq (aNormalFormOfIn0 (skS.0 0 a xR a_1) a xR) True))
% 5.00/5.18 Clause #519 (by forward demodulation #[518, 32]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (aElement0 a) False) (Eq (aNormalFormOfIn0 (skS.0 0 a xR a_1) a xR) True))
% 5.00/5.18 Clause #520 (by clausification #[519]): ∀ (a a_1 : Iota), Or (Eq (aElement0 a) False) (Eq (aNormalFormOfIn0 (skS.0 0 a xR a_1) a xR) True)
% 5.00/5.18 Clause #524 (by superposition #[520, 123]): ∀ (a : Iota), Or (Eq (aNormalFormOfIn0 (skS.0 0 xw xR a) xw xR) True) (Eq False True)
% 5.00/5.18 Clause #641 (by clausification #[524]): ∀ (a : Iota), Eq (aNormalFormOfIn0 (skS.0 0 xw xR a) xw xR) True
% 5.00/5.18 Clause #642 (by superposition #[641, 71]): Eq True False
% 5.00/5.18 Clause #643 (by clausification #[642]): False
% 5.00/5.18 SZS output end Proof for theBenchmark.p
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