TSTP Solution File: NUM746^1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : NUM746^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 10:57:26 EDT 2023
% Result : Theorem 3.65s 3.84s
% Output : Proof 3.65s
% 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 : NUM746^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.34 % Computer : n018.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:00:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.65/3.84 SZS status Theorem for theBenchmark.p
% 3.65/3.84 SZS output start Proof for theBenchmark.p
% 3.65/3.84 Clause #0 (by assumption #[]): Eq (Not (lessf x y) → eq x y) True
% 3.65/3.84 Clause #1 (by assumption #[]): Eq (Not (lessf y z) → eq y z) True
% 3.65/3.84 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq Xx Xy → eq Xy Xz → eq Xx Xz) True
% 3.65/3.84 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), lessf Xx Xy → (Not (lessf Xy Xz) → eq Xy Xz) → lessf Xx Xz) True
% 3.65/3.84 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), (Not (lessf Xx Xy) → eq Xx Xy) → lessf Xy Xz → lessf Xx Xz) True
% 3.65/3.84 Clause #6 (by assumption #[]): Eq (Not (Not (lessf x z) → eq x z)) True
% 3.65/3.84 Clause #11 (by clausification #[1]): Or (Eq (Not (lessf y z)) False) (Eq (eq y z) True)
% 3.65/3.84 Clause #12 (by clausification #[11]): Or (Eq (eq y z) True) (Eq (lessf y z) True)
% 3.65/3.84 Clause #13 (by clausification #[0]): Or (Eq (Not (lessf x y)) False) (Eq (eq x y) True)
% 3.65/3.84 Clause #14 (by clausification #[13]): Or (Eq (eq x y) True) (Eq (lessf x y) True)
% 3.65/3.84 Clause #15 (by clausification #[6]): Eq (Not (lessf x z) → eq x z) False
% 3.65/3.84 Clause #16 (by clausification #[15]): Eq (Not (lessf x z)) True
% 3.65/3.84 Clause #17 (by clausification #[15]): Eq (eq x z) False
% 3.65/3.84 Clause #18 (by clausification #[16]): Eq (lessf x z) False
% 3.65/3.84 Clause #19 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq a Xy → eq Xy Xz → eq a Xz) True
% 3.65/3.84 Clause #20 (by clausification #[19]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq a a_1 → eq a_1 Xz → eq a Xz) True
% 3.65/3.84 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : frac), Eq (eq a a_1 → eq a_1 a_2 → eq a a_2) True
% 3.65/3.84 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a_2 → eq a a_2) True)
% 3.65/3.84 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Or (Eq (eq a_1 a_2) False) (Eq (eq a a_2) True))
% 3.65/3.84 Clause #25 (by superposition #[23, 14]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (eq x a) True) (Or (Eq False True) (Eq (lessf x y) True)))
% 3.65/3.84 Clause #26 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), (Not (lessf a Xy) → eq a Xy) → lessf Xy Xz → lessf a Xz) True
% 3.65/3.84 Clause #27 (by clausification #[26]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), (Not (lessf a a_1) → eq a a_1) → lessf a_1 Xz → lessf a Xz) True
% 3.65/3.84 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : frac), Eq ((Not (lessf a a_1) → eq a a_1) → lessf a_1 a_2 → lessf a a_2) True
% 3.65/3.84 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : frac), Or (Eq (Not (lessf a a_1) → eq a a_1) False) (Eq (lessf a_1 a_2 → lessf a a_2) True)
% 3.65/3.84 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1 → lessf a_2 a_1) True) (Eq (eq a_2 a) False)
% 3.65/3.84 Clause #34 (by clausification #[31]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Or (Eq (lessf a_1 a_2) False) (Eq (lessf a a_2) True))
% 3.65/3.84 Clause #36 (by superposition #[34, 14]): ∀ (a : frac), Or (Eq (lessf y a) False) (Or (Eq (lessf x a) True) (Or (Eq False True) (Eq (lessf x y) True)))
% 3.65/3.84 Clause #37 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), lessf a Xy → (Not (lessf Xy Xz) → eq Xy Xz) → lessf a Xz) True
% 3.65/3.84 Clause #38 (by clausification #[37]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), lessf a a_1 → (Not (lessf a_1 Xz) → eq a_1 Xz) → lessf a Xz) True
% 3.65/3.84 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : frac), Eq (lessf a a_1 → (Not (lessf a_1 a_2) → eq a_1 a_2) → lessf a a_2) True
% 3.65/3.84 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Eq ((Not (lessf a_1 a_2) → eq a_1 a_2) → lessf a a_2) True)
% 3.65/3.84 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : frac),
% 3.65/3.84 Or (Eq (lessf a a_1) False) (Or (Eq (Not (lessf a_1 a_2) → eq a_1 a_2) False) (Eq (lessf a a_2) True))
% 3.65/3.84 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (lessf a a_2) True) (Eq (Not (lessf a_1 a_2)) True))
% 3.65/3.84 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (lessf a a_2) True) (Eq (eq a_1 a_2) False))
% 3.65/3.84 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (lessf a a_2) True) (Eq (lessf a_1 a_2) False))
% 3.65/3.86 Clause #46 (by clausification #[25]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (eq x a) True) (Eq (lessf x y) True))
% 3.65/3.86 Clause #47 (by superposition #[46, 12]): Or (Eq (eq x z) True) (Or (Eq (lessf x y) True) (Or (Eq False True) (Eq (lessf y z) True)))
% 3.65/3.86 Clause #48 (by clausification #[47]): Or (Eq (eq x z) True) (Or (Eq (lessf x y) True) (Eq (lessf y z) True))
% 3.65/3.86 Clause #49 (by superposition #[48, 17]): Or (Eq (lessf x y) True) (Or (Eq (lessf y z) True) (Eq True False))
% 3.65/3.86 Clause #52 (by clausification #[49]): Or (Eq (lessf x y) True) (Eq (lessf y z) True)
% 3.65/3.86 Clause #55 (by superposition #[52, 43]): ∀ (a : frac), Or (Eq (lessf y z) True) (Or (Eq True False) (Or (Eq (lessf x a) True) (Eq (eq y a) False)))
% 3.65/3.86 Clause #56 (by clausification #[55]): ∀ (a : frac), Or (Eq (lessf y z) True) (Or (Eq (lessf x a) True) (Eq (eq y a) False))
% 3.65/3.86 Clause #57 (by superposition #[56, 12]): Or (Eq (lessf y z) True) (Or (Eq (lessf x z) True) (Or (Eq False True) (Eq (lessf y z) True)))
% 3.65/3.86 Clause #58 (by clausification #[57]): Or (Eq (lessf y z) True) (Or (Eq (lessf x z) True) (Eq (lessf y z) True))
% 3.65/3.86 Clause #59 (by eliminate duplicate literals #[58]): Or (Eq (lessf y z) True) (Eq (lessf x z) True)
% 3.65/3.86 Clause #60 (by superposition #[59, 18]): Or (Eq (lessf y z) True) (Eq True False)
% 3.65/3.86 Clause #64 (by clausification #[60]): Eq (lessf y z) True
% 3.65/3.86 Clause #75 (by clausification #[36]): ∀ (a : frac), Or (Eq (lessf y a) False) (Or (Eq (lessf x a) True) (Eq (lessf x y) True))
% 3.65/3.86 Clause #76 (by superposition #[75, 64]): Or (Eq (lessf x z) True) (Or (Eq (lessf x y) True) (Eq False True))
% 3.65/3.86 Clause #77 (by clausification #[76]): Or (Eq (lessf x z) True) (Eq (lessf x y) True)
% 3.65/3.86 Clause #78 (by forward demodulation #[77, 18]): Or (Eq False True) (Eq (lessf x y) True)
% 3.65/3.86 Clause #79 (by clausification #[78]): Eq (lessf x y) True
% 3.65/3.86 Clause #83 (by superposition #[79, 44]): ∀ (a : frac), Or (Eq True False) (Or (Eq (lessf x a) True) (Eq (lessf y a) False))
% 3.65/3.86 Clause #86 (by clausification #[83]): ∀ (a : frac), Or (Eq (lessf x a) True) (Eq (lessf y a) False)
% 3.65/3.86 Clause #87 (by superposition #[86, 64]): Or (Eq (lessf x z) True) (Eq False True)
% 3.65/3.86 Clause #90 (by clausification #[87]): Eq (lessf x z) True
% 3.65/3.86 Clause #91 (by superposition #[90, 18]): Eq True False
% 3.65/3.86 Clause #95 (by clausification #[91]): False
% 3.65/3.86 SZS output end Proof for theBenchmark.p
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