TSTP Solution File: NUM739^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM739^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 10:57:24 EDT 2023
% Result : Theorem 3.98s 4.20s
% Output : Proof 4.04s
% 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 : NUM739^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 14:41:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.98/4.20 SZS status Theorem for theBenchmark.p
% 3.98/4.20 SZS output start Proof for theBenchmark.p
% 3.98/4.20 Clause #0 (by assumption #[]): Eq (Not (moref x y) → eq x y) True
% 3.98/4.20 Clause #1 (by assumption #[]): Eq (eq x z) True
% 3.98/4.20 Clause #2 (by assumption #[]): Eq (eq y u) True
% 3.98/4.20 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq Xx Xy → eq Xy Xz → eq Xx Xz) True
% 3.98/4.20 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True
% 3.98/4.20 Clause #6 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True
% 3.98/4.20 Clause #7 (by assumption #[]): Eq (Not (Not (moref z u) → eq z u)) True
% 3.98/4.20 Clause #12 (by clausification #[0]): Or (Eq (Not (moref x y)) False) (Eq (eq x y) True)
% 3.98/4.20 Clause #13 (by clausification #[12]): Or (Eq (eq x y) True) (Eq (moref x y) True)
% 3.98/4.20 Clause #14 (by clausification #[7]): Eq (Not (moref z u) → eq z u) False
% 3.98/4.20 Clause #15 (by clausification #[14]): Eq (Not (moref z u)) True
% 3.98/4.20 Clause #16 (by clausification #[14]): Eq (eq z u) False
% 3.98/4.20 Clause #17 (by clausification #[15]): Eq (moref z u) False
% 3.98/4.20 Clause #18 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq a Xy → eq Xy Xz → eq a Xz) True
% 3.98/4.20 Clause #19 (by clausification #[18]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq a a_1 → eq a_1 Xz → eq a Xz) True
% 3.98/4.20 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : frac), Eq (eq a a_1 → eq a_1 a_2 → eq a a_2) True
% 3.98/4.20 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a_2 → eq a a_2) True)
% 3.98/4.20 Clause #22 (by clausification #[21]): ∀ (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))
% 3.98/4.20 Clause #25 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True
% 3.98/4.20 Clause #26 (by clausification #[25]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True
% 3.98/4.20 Clause #27 (by clausification #[26]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True)
% 3.98/4.20 Clause #28 (by superposition #[27, 2]): Or (Eq (eq u y) True) (Eq False True)
% 3.98/4.20 Clause #29 (by superposition #[27, 1]): Or (Eq (eq z x) True) (Eq False True)
% 3.98/4.20 Clause #30 (by clausification #[29]): Eq (eq z x) True
% 3.98/4.20 Clause #31 (by superposition #[30, 22]): ∀ (a : frac), Or (Eq True False) (Or (Eq (eq x a) False) (Eq (eq z a) True))
% 3.98/4.20 Clause #33 (by clausification #[28]): Eq (eq u y) True
% 3.98/4.20 Clause #34 (by superposition #[33, 22]): ∀ (a : frac), Or (Eq True False) (Or (Eq (eq y a) False) (Eq (eq u a) True))
% 3.98/4.20 Clause #36 (by clausification #[6]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True
% 3.98/4.20 Clause #37 (by clausification #[36]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True
% 3.98/4.20 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), moref a a_1 → eq a a_2 → eq a_1 Xu → moref a_2 Xu) True
% 3.98/4.20 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : frac), Eq (moref a a_1 → eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True
% 3.98/4.20 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True)
% 3.98/4.20 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → moref a_2 a_3) True))
% 3.98/4.20 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 a_3 : frac),
% 3.98/4.20 Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (moref a_2 a_3) True)))
% 3.98/4.20 Clause #43 (by superposition #[42, 13]): ∀ (a a_1 : frac),
% 3.98/4.20 Or (Eq (eq x a) False) (Or (Eq (eq y a_1) False) (Or (Eq (moref a a_1) True) (Or (Eq (eq x y) True) (Eq False True))))
% 3.98/4.20 Clause #51 (by clausification #[31]): ∀ (a : frac), Or (Eq (eq x a) False) (Eq (eq z a) True)
% 3.98/4.20 Clause #60 (by clausification #[34]): ∀ (a : frac), Or (Eq (eq y a) False) (Eq (eq u a) True)
% 3.98/4.20 Clause #65 (by clausification #[43]): ∀ (a a_1 : frac), Or (Eq (eq x a) False) (Or (Eq (eq y a_1) False) (Or (Eq (moref a a_1) True) (Eq (eq x y) True)))
% 3.98/4.20 Clause #66 (by superposition #[65, 1]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (moref z a) True) (Or (Eq (eq x y) True) (Eq False True)))
% 4.04/4.20 Clause #72 (by clausification #[66]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (moref z a) True) (Eq (eq x y) True))
% 4.04/4.20 Clause #73 (by superposition #[72, 2]): Or (Eq (moref z u) True) (Or (Eq (eq x y) True) (Eq False True))
% 4.04/4.20 Clause #77 (by clausification #[73]): Or (Eq (moref z u) True) (Eq (eq x y) True)
% 4.04/4.20 Clause #78 (by superposition #[77, 17]): Or (Eq (eq x y) True) (Eq True False)
% 4.04/4.20 Clause #80 (by clausification #[78]): Eq (eq x y) True
% 4.04/4.20 Clause #89 (by superposition #[80, 27]): Or (Eq True False) (Eq (eq y x) True)
% 4.04/4.20 Clause #90 (by clausification #[89]): Eq (eq y x) True
% 4.04/4.20 Clause #91 (by superposition #[90, 60]): Or (Eq True False) (Eq (eq u x) True)
% 4.04/4.20 Clause #96 (by clausification #[91]): Eq (eq u x) True
% 4.04/4.20 Clause #98 (by superposition #[96, 27]): Or (Eq True False) (Eq (eq x u) True)
% 4.04/4.20 Clause #99 (by clausification #[98]): Eq (eq x u) True
% 4.04/4.20 Clause #100 (by superposition #[99, 51]): Or (Eq True False) (Eq (eq z u) True)
% 4.04/4.20 Clause #102 (by clausification #[100]): Eq (eq z u) True
% 4.04/4.20 Clause #103 (by superposition #[102, 16]): Eq True False
% 4.04/4.20 Clause #106 (by clausification #[103]): False
% 4.04/4.20 SZS output end Proof for theBenchmark.p
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