TSTP Solution File: NUM753^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 10:57:30 EDT 2023
% Result : Theorem 3.65s 3.83s
% 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 : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 08:51:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.65/3.83 SZS status Theorem for theBenchmark.p
% 3.65/3.83 SZS output start Proof for theBenchmark.p
% 3.65/3.83 Clause #0 (by assumption #[]): Eq (eq x y) True
% 3.65/3.83 Clause #1 (by assumption #[]): Eq (moref z u) True
% 3.65/3.83 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True
% 3.65/3.83 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), moref Xx Xy → moref (pf Xz Xx) (pf Xz Xy)) True
% 3.65/3.83 Clause #4 (by assumption #[]): Eq (∀ (Xx : frac), eq Xx Xx) True
% 3.65/3.83 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), eq Xx Xy → eq Xz Xu → eq (pf Xx Xz) (pf Xy Xu)) True
% 3.65/3.83 Clause #6 (by assumption #[]): Eq (Not (moref (pf x z) (pf y u))) True
% 3.65/3.83 Clause #7 (by clausification #[4]): ∀ (a : frac), Eq (eq a a) True
% 3.65/3.83 Clause #8 (by clausification #[6]): Eq (moref (pf x z) (pf y u)) False
% 3.65/3.83 Clause #9 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True
% 3.65/3.83 Clause #10 (by clausification #[9]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True
% 3.65/3.83 Clause #11 (by clausification #[10]): ∀ (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
% 3.65/3.83 Clause #12 (by clausification #[11]): ∀ (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
% 3.65/3.83 Clause #13 (by clausification #[12]): ∀ (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)
% 3.65/3.83 Clause #14 (by clausification #[13]): ∀ (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))
% 3.65/3.83 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : frac),
% 3.65/3.83 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)))
% 3.65/3.83 Clause #17 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), moref a Xy → moref (pf Xz a) (pf Xz Xy)) True
% 3.65/3.83 Clause #18 (by clausification #[17]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), moref a a_1 → moref (pf Xz a) (pf Xz a_1)) True
% 3.65/3.83 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : frac), Eq (moref a a_1 → moref (pf a_2 a) (pf a_2 a_1)) True
% 3.65/3.83 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : frac), Or (Eq (moref a a_1) False) (Eq (moref (pf a_2 a) (pf a_2 a_1)) True)
% 3.65/3.83 Clause #21 (by superposition #[20, 1]): ∀ (a : frac), Or (Eq (moref (pf a z) (pf a u)) True) (Eq False True)
% 3.65/3.83 Clause #22 (by clausification #[21]): ∀ (a : frac), Eq (moref (pf a z) (pf a u)) True
% 3.65/3.83 Clause #23 (by superposition #[22, 15]): ∀ (a a_1 a_2 : frac),
% 3.65/3.83 Or (Eq True False) (Or (Eq (eq (pf a z) a_1) False) (Or (Eq (eq (pf a u) a_2) False) (Eq (moref a_1 a_2) True)))
% 3.65/3.83 Clause #29 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), eq a Xy → eq Xz Xu → eq (pf a Xz) (pf Xy Xu)) True
% 3.65/3.83 Clause #30 (by clausification #[29]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), eq a a_1 → eq Xz Xu → eq (pf a Xz) (pf a_1 Xu)) True
% 3.65/3.83 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), eq a a_1 → eq a_2 Xu → eq (pf a a_2) (pf a_1 Xu)) True
% 3.65/3.83 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : frac), Eq (eq a a_1 → eq a_2 a_3 → eq (pf a a_2) (pf a_1 a_3)) True
% 3.65/3.83 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_2 a_3 → eq (pf a a_2) (pf a_1 a_3)) True)
% 3.65/3.83 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq a a_1) False) (Or (Eq (eq a_2 a_3) False) (Eq (eq (pf a a_2) (pf a_1 a_3)) True))
% 3.65/3.83 Clause #35 (by superposition #[34, 0]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Or (Eq (eq (pf x a) (pf y a_1)) True) (Eq False True))
% 3.65/3.83 Clause #37 (by clausification #[23]): ∀ (a a_1 a_2 : frac), Or (Eq (eq (pf a z) a_1) False) (Or (Eq (eq (pf a u) a_2) False) (Eq (moref a_1 a_2) True))
% 3.65/3.83 Clause #38 (by superposition #[37, 7]): ∀ (a a_1 : frac), Or (Eq (eq (pf a u) a_1) False) (Or (Eq (moref (pf a z) a_1) True) (Eq False True))
% 3.65/3.83 Clause #39 (by clausification #[38]): ∀ (a a_1 : frac), Or (Eq (eq (pf a u) a_1) False) (Eq (moref (pf a z) a_1) True)
% 3.65/3.84 Clause #53 (by clausification #[35]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq (pf x a) (pf y a_1)) True)
% 3.65/3.84 Clause #57 (by superposition #[53, 7]): ∀ (a : frac), Or (Eq (eq (pf x a) (pf y a)) True) (Eq False True)
% 3.65/3.84 Clause #58 (by clausification #[57]): ∀ (a : frac), Eq (eq (pf x a) (pf y a)) True
% 3.65/3.84 Clause #60 (by superposition #[58, 39]): Or (Eq True False) (Eq (moref (pf x z) (pf y u)) True)
% 3.65/3.84 Clause #64 (by clausification #[60]): Eq (moref (pf x z) (pf y u)) True
% 3.65/3.84 Clause #65 (by superposition #[64, 8]): Eq True False
% 3.65/3.84 Clause #68 (by clausification #[65]): False
% 3.65/3.84 SZS output end Proof for theBenchmark.p
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