TSTP Solution File: SEV494^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV494^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 : Thu Aug 31 19:25:07 EDT 2023
% Result : Theorem 3.30s 3.58s
% Output : Proof 3.30s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV494^1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 03:23:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.30/3.58 SZS status Theorem for theBenchmark.p
% 3.30/3.58 SZS output start Proof for theBenchmark.p
% 3.30/3.58 Clause #0 (by assumption #[]): Eq
% 3.30/3.58 (∀ (A : «type/nums/num»),
% 3.30/3.58 Eq («const/arith/-» («const/nums/SUC» A) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) A)
% 3.30/3.58 True
% 3.30/3.58 Clause #1 (by assumption #[]): Eq
% 3.30/3.58 (∀ (A A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» A A0 →
% 3.30/3.58 Eq
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» A0
% 3.30/3.58 («const/iterate/..» A («const/arith/-» A0 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.58 («const/iterate/..» A A0))
% 3.30/3.58 True
% 3.30/3.58 Clause #2 (by assumption #[]): Eq
% 3.30/3.58 (Not
% 3.30/3.58 (∀ (A A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» A («const/nums/SUC» A0) →
% 3.30/3.58 Eq («const/iterate/..» A («const/nums/SUC» A0))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» A0) («const/iterate/..» A A0))))
% 3.30/3.58 True
% 3.30/3.58 Clause #3 (by clausification #[0]): ∀ (a : «type/nums/num»),
% 3.30/3.58 Eq (Eq («const/arith/-» («const/nums/SUC» a) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) a) True
% 3.30/3.58 Clause #4 (by clausification #[3]): ∀ (a : «type/nums/num»),
% 3.30/3.58 Eq («const/arith/-» («const/nums/SUC» a) («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»))) a
% 3.30/3.58 Clause #5 (by clausification #[2]): Eq
% 3.30/3.58 (∀ (A A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» A («const/nums/SUC» A0) →
% 3.30/3.58 Eq («const/iterate/..» A («const/nums/SUC» A0))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» A0) («const/iterate/..» A A0)))
% 3.30/3.58 False
% 3.30/3.58 Clause #6 (by clausification #[5]): ∀ (a : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 (Not
% 3.30/3.58 (∀ (A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» (skS.0 0 a) («const/nums/SUC» A0) →
% 3.30/3.58 Eq («const/iterate/..» (skS.0 0 a) («const/nums/SUC» A0))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» A0) («const/iterate/..» (skS.0 0 a) A0))))
% 3.30/3.58 True
% 3.30/3.58 Clause #7 (by clausification #[6]): ∀ (a : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 (∀ (A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» (skS.0 0 a) («const/nums/SUC» A0) →
% 3.30/3.58 Eq («const/iterate/..» (skS.0 0 a) («const/nums/SUC» A0))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» A0) («const/iterate/..» (skS.0 0 a) A0)))
% 3.30/3.58 False
% 3.30/3.58 Clause #8 (by clausification #[7]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 (Not
% 3.30/3.58 («const/arith/<=» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)) →
% 3.30/3.58 Eq («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.58 («const/iterate/..» (skS.0 0 a) (skS.0 1 a a_1)))))
% 3.30/3.58 True
% 3.30/3.58 Clause #9 (by clausification #[8]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 («const/arith/<=» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)) →
% 3.30/3.58 Eq («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.58 («const/iterate/..» (skS.0 0 a) (skS.0 1 a a_1))))
% 3.30/3.58 False
% 3.30/3.58 Clause #10 (by clausification #[9]): ∀ (a a_1 : «type/nums/num»), Eq («const/arith/<=» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1))) True
% 3.30/3.58 Clause #11 (by clausification #[9]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 (Eq («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.58 («const/iterate/..» (skS.0 0 a) (skS.0 1 a a_1))))
% 3.30/3.58 False
% 3.30/3.58 Clause #12 (by clausification #[1]): ∀ (a : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 (∀ (A0 : «type/nums/num»),
% 3.30/3.58 «const/arith/<=» a A0 →
% 3.30/3.58 Eq
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» A0
% 3.30/3.58 («const/iterate/..» a («const/arith/-» A0 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.58 («const/iterate/..» a A0))
% 3.30/3.58 True
% 3.30/3.58 Clause #13 (by clausification #[12]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.58 Eq
% 3.30/3.58 («const/arith/<=» a a_1 →
% 3.30/3.58 Eq
% 3.30/3.58 («const/sets/INSERT» «type/nums/num» a_1
% 3.30/3.59 («const/iterate/..» a («const/arith/-» a_1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.59 («const/iterate/..» a a_1))
% 3.30/3.59 True
% 3.30/3.59 Clause #14 (by clausification #[13]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Or (Eq («const/arith/<=» a a_1) False)
% 3.30/3.59 (Eq
% 3.30/3.59 (Eq
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» a_1
% 3.30/3.59 («const/iterate/..» a («const/arith/-» a_1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.59 («const/iterate/..» a a_1))
% 3.30/3.59 True)
% 3.30/3.59 Clause #15 (by clausification #[14]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Or (Eq («const/arith/<=» a a_1) False)
% 3.30/3.59 (Eq
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» a_1
% 3.30/3.59 («const/iterate/..» a («const/arith/-» a_1 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.59 («const/iterate/..» a a_1))
% 3.30/3.59 Clause #16 (by superposition #[15, 10]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Or
% 3.30/3.59 (Eq
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a)
% 3.30/3.59 («const/arith/-» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1))))
% 3.30/3.59 (Eq False True)
% 3.30/3.59 Clause #17 (by clausification #[11]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Ne («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.30/3.59 Clause #18 (by clausification #[16]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Eq
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a)
% 3.30/3.59 («const/arith/-» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/nums/NUMERAL» («const/nums/BIT1» «const/nums/_0»)))))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.59 Clause #19 (by forward demodulation #[18, 4]): ∀ (a a_1 : «type/nums/num»),
% 3.30/3.59 Eq
% 3.30/3.59 («const/sets/INSERT» «type/nums/num» («const/nums/SUC» (skS.0 1 a a_1))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a) (skS.0 1 a a_1)))
% 3.30/3.59 («const/iterate/..» (skS.0 0 a) («const/nums/SUC» (skS.0 1 a a_1)))
% 3.30/3.59 Clause #20 (by forward contextual literal cutting #[19, 17]): False
% 3.30/3.59 SZS output end Proof for theBenchmark.p
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