TSTP Solution File: NUM742^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM742^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 10:57:25 EDT 2023
% Result : Theorem 3.51s 3.67s
% Output : Proof 3.51s
% 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 : NUM742^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.17/0.36 % Computer : n006.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Fri Aug 25 12:12:53 EDT 2023
% 0.17/0.36 % CPUTime :
% 3.51/3.67 SZS status Theorem for theBenchmark.p
% 3.51/3.67 SZS output start Proof for theBenchmark.p
% 3.51/3.67 Clause #0 (by assumption #[]): Eq (Not (lessf x y) → eq x y) True
% 3.51/3.67 Clause #1 (by assumption #[]): Eq (lessf y z) True
% 3.51/3.67 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), lessf Xx Xy → eq Xx Xz → eq Xy Xu → lessf Xz Xu) True
% 3.51/3.67 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True
% 3.51/3.67 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), lessf Xx Xy → lessf Xy Xz → lessf Xx Xz) True
% 3.51/3.67 Clause #6 (by assumption #[]): Eq (∀ (Xx : frac), eq Xx Xx) True
% 3.51/3.67 Clause #7 (by assumption #[]): Eq (Not (lessf x z)) True
% 3.51/3.67 Clause #12 (by clausification #[0]): Or (Eq (Not (lessf x y)) False) (Eq (eq x y) True)
% 3.51/3.67 Clause #13 (by clausification #[12]): Or (Eq (eq x y) True) (Eq (lessf x y) True)
% 3.51/3.67 Clause #14 (by clausification #[7]): Eq (lessf x z) False
% 3.51/3.67 Clause #15 (by clausification #[6]): ∀ (a : frac), Eq (eq a a) True
% 3.51/3.67 Clause #16 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), lessf a Xy → eq a Xz → eq Xy Xu → lessf Xz Xu) True
% 3.51/3.67 Clause #17 (by clausification #[16]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), lessf a a_1 → eq a Xz → eq a_1 Xu → lessf Xz Xu) True
% 3.51/3.67 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), lessf a a_1 → eq a a_2 → eq a_1 Xu → lessf a_2 Xu) True
% 3.51/3.67 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 : frac), Eq (lessf a a_1 → eq a a_2 → eq a_1 a_3 → lessf a_2 a_3) True
% 3.51/3.67 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (lessf a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → lessf a_2 a_3) True)
% 3.51/3.67 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → lessf a_2 a_3) True))
% 3.51/3.67 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 : frac),
% 3.51/3.67 Or (Eq (lessf a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (lessf a_2 a_3) True)))
% 3.51/3.67 Clause #23 (by superposition #[22, 1]): ∀ (a a_1 : frac), Or (Eq (eq y a) False) (Or (Eq (eq z a_1) False) (Or (Eq (lessf a a_1) True) (Eq False True)))
% 3.51/3.67 Clause #24 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True
% 3.51/3.67 Clause #25 (by clausification #[24]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True
% 3.51/3.67 Clause #26 (by clausification #[25]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True)
% 3.51/3.67 Clause #27 (by superposition #[26, 13]): Or (Eq (eq y x) True) (Or (Eq False True) (Eq (lessf x y) True))
% 3.51/3.67 Clause #29 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), lessf a Xy → lessf Xy Xz → lessf a Xz) True
% 3.51/3.67 Clause #30 (by clausification #[29]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), lessf a a_1 → lessf a_1 Xz → lessf a Xz) True
% 3.51/3.67 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : frac), Eq (lessf a a_1 → lessf a_1 a_2 → lessf a a_2) True
% 3.51/3.67 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Eq (lessf a_1 a_2 → lessf a a_2) True)
% 3.51/3.67 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (lessf a_1 a_2) False) (Eq (lessf a a_2) True))
% 3.51/3.67 Clause #35 (by clausification #[27]): Or (Eq (eq y x) True) (Eq (lessf x y) True)
% 3.51/3.67 Clause #38 (by clausification #[23]): ∀ (a a_1 : frac), Or (Eq (eq y a) False) (Or (Eq (eq z a_1) False) (Eq (lessf a a_1) True))
% 3.51/3.67 Clause #39 (by superposition #[38, 35]): ∀ (a : frac), Or (Eq (eq z a) False) (Or (Eq (lessf x a) True) (Or (Eq False True) (Eq (lessf x y) True)))
% 3.51/3.67 Clause #44 (by clausification #[39]): ∀ (a : frac), Or (Eq (eq z a) False) (Or (Eq (lessf x a) True) (Eq (lessf x y) True))
% 3.51/3.67 Clause #45 (by superposition #[44, 15]): Or (Eq (lessf x z) True) (Or (Eq (lessf x y) True) (Eq False True))
% 3.51/3.67 Clause #46 (by clausification #[45]): Or (Eq (lessf x z) True) (Eq (lessf x y) True)
% 3.51/3.67 Clause #47 (by superposition #[46, 14]): Or (Eq (lessf x y) True) (Eq True False)
% 3.51/3.67 Clause #50 (by clausification #[47]): Eq (lessf x y) True
% 3.51/3.67 Clause #56 (by superposition #[50, 33]): ∀ (a : frac), Or (Eq True False) (Or (Eq (lessf y a) False) (Eq (lessf x a) True))
% 3.51/3.67 Clause #57 (by clausification #[56]): ∀ (a : frac), Or (Eq (lessf y a) False) (Eq (lessf x a) True)
% 3.51/3.67 Clause #58 (by superposition #[57, 1]): Or (Eq (lessf x z) True) (Eq False True)
% 3.51/3.67 Clause #59 (by clausification #[58]): Eq (lessf x z) True
% 3.51/3.67 Clause #60 (by superposition #[59, 14]): Eq True False
% 3.51/3.67 Clause #65 (by clausification #[60]): False
% 3.51/3.67 SZS output end Proof for theBenchmark.p
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