TSTP Solution File: NUM757^1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : NUM757^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 10:57:32 EDT 2023
% Result : Theorem 3.39s 3.72s
% Output : Proof 3.39s
% 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 : NUM757^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n008.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 16:42:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.39/3.72 SZS status Theorem for theBenchmark.p
% 3.39/3.72 SZS output start Proof for theBenchmark.p
% 3.39/3.72 Clause #0 (by assumption #[]): Eq (lessf (pf x z) (pf y z)) True
% 3.39/3.72 Clause #2 (by assumption #[]): Eq
% 3.39/3.72 (∀ (Xx Xy : frac),
% 3.39/3.72 Not
% 3.39/3.72 ((eq Xx Xy → Not (moref Xx Xy)) →
% 3.39/3.72 Not (Not ((moref Xx Xy → Not (lessf Xx Xy)) → Not (lessf Xx Xy → Not (eq Xx Xy))))))
% 3.39/3.72 True
% 3.39/3.72 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), moref Xx Xy → moref (pf Xx Xz) (pf Xy Xz)) True
% 3.39/3.72 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq Xx Xy → eq (pf Xx Xz) (pf Xy Xz)) True
% 3.39/3.72 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy : frac), Not (eq Xx Xy) → Not (moref Xx Xy) → lessf Xx Xy) True
% 3.39/3.72 Clause #6 (by assumption #[]): Eq (Not (lessf x y)) True
% 3.39/3.72 Clause #11 (by clausification #[6]): Eq (lessf x y) False
% 3.39/3.72 Clause #12 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy : frac), Not (eq a Xy) → Not (moref a Xy) → lessf a Xy) True
% 3.39/3.72 Clause #13 (by clausification #[12]): ∀ (a a_1 : frac), Eq (Not (eq a a_1) → Not (moref a a_1) → lessf a a_1) True
% 3.39/3.72 Clause #14 (by clausification #[13]): ∀ (a a_1 : frac), Or (Eq (Not (eq a a_1)) False) (Eq (Not (moref a a_1) → lessf a a_1) True)
% 3.39/3.72 Clause #15 (by clausification #[14]): ∀ (a a_1 : frac), Or (Eq (Not (moref a a_1) → lessf a a_1) True) (Eq (eq a a_1) True)
% 3.39/3.72 Clause #16 (by clausification #[15]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) True) (Or (Eq (Not (moref a a_1)) False) (Eq (lessf a a_1) True))
% 3.39/3.72 Clause #17 (by clausification #[16]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) True) (Or (Eq (lessf a a_1) True) (Eq (moref a a_1) True))
% 3.39/3.72 Clause #18 (by superposition #[17, 11]): Or (Eq (eq x y) True) (Or (Eq (moref x y) True) (Eq True False))
% 3.39/3.72 Clause #19 (by clausification #[18]): Or (Eq (eq x y) True) (Eq (moref x y) True)
% 3.39/3.72 Clause #20 (by clausification #[2]): ∀ (a : frac),
% 3.39/3.72 Eq
% 3.39/3.72 (∀ (Xy : frac),
% 3.39/3.72 Not
% 3.39/3.72 ((eq a Xy → Not (moref a Xy)) → Not (Not ((moref a Xy → Not (lessf a Xy)) → Not (lessf a Xy → Not (eq a Xy))))))
% 3.39/3.72 True
% 3.39/3.72 Clause #21 (by clausification #[20]): ∀ (a a_1 : frac),
% 3.39/3.72 Eq
% 3.39/3.72 (Not
% 3.39/3.72 ((eq a a_1 → Not (moref a a_1)) →
% 3.39/3.72 Not (Not ((moref a a_1 → Not (lessf a a_1)) → Not (lessf a a_1 → Not (eq a a_1))))))
% 3.39/3.72 True
% 3.39/3.72 Clause #22 (by clausification #[21]): ∀ (a a_1 : frac),
% 3.39/3.72 Eq
% 3.39/3.72 ((eq a a_1 → Not (moref a a_1)) →
% 3.39/3.72 Not (Not ((moref a a_1 → Not (lessf a a_1)) → Not (lessf a a_1 → Not (eq a a_1)))))
% 3.39/3.72 False
% 3.39/3.72 Clause #24 (by clausification #[22]): ∀ (a a_1 : frac), Eq (Not (Not ((moref a a_1 → Not (lessf a a_1)) → Not (lessf a a_1 → Not (eq a a_1))))) False
% 3.39/3.72 Clause #27 (by clausification #[24]): ∀ (a a_1 : frac), Eq (Not ((moref a a_1 → Not (lessf a a_1)) → Not (lessf a a_1 → Not (eq a a_1)))) True
% 3.39/3.72 Clause #28 (by clausification #[27]): ∀ (a a_1 : frac), Eq ((moref a a_1 → Not (lessf a a_1)) → Not (lessf a a_1 → Not (eq a a_1))) False
% 3.39/3.72 Clause #29 (by clausification #[28]): ∀ (a a_1 : frac), Eq (moref a a_1 → Not (lessf a a_1)) True
% 3.39/3.72 Clause #30 (by clausification #[28]): ∀ (a a_1 : frac), Eq (Not (lessf a a_1 → Not (eq a a_1))) False
% 3.39/3.72 Clause #31 (by clausification #[29]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (Not (lessf a a_1)) True)
% 3.39/3.72 Clause #32 (by clausification #[31]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (lessf a a_1) False)
% 3.39/3.72 Clause #34 (by clausification #[30]): ∀ (a a_1 : frac), Eq (lessf a a_1 → Not (eq a a_1)) True
% 3.39/3.72 Clause #35 (by clausification #[34]): ∀ (a a_1 : frac), Or (Eq (lessf a a_1) False) (Eq (Not (eq a a_1)) True)
% 3.39/3.72 Clause #36 (by clausification #[35]): ∀ (a a_1 : frac), Or (Eq (lessf a a_1) False) (Eq (eq a a_1) False)
% 3.39/3.72 Clause #37 (by superposition #[36, 0]): Or (Eq (eq (pf x z) (pf y z)) False) (Eq False True)
% 3.39/3.72 Clause #39 (by clausification #[37]): Eq (eq (pf x z) (pf y z)) False
% 3.39/3.72 Clause #41 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), moref a Xy → moref (pf a Xz) (pf Xy Xz)) True
% 3.39/3.72 Clause #42 (by clausification #[41]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), moref a a_1 → moref (pf a Xz) (pf a_1 Xz)) True
% 3.39/3.72 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : frac), Eq (moref a a_1 → moref (pf a a_2) (pf a_1 a_2)) True
% 3.39/3.73 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : frac), Or (Eq (moref a a_1) False) (Eq (moref (pf a a_2) (pf a_1 a_2)) True)
% 3.39/3.73 Clause #45 (by superposition #[44, 19]): ∀ (a : frac), Or (Eq (moref (pf x a) (pf y a)) True) (Or (Eq (eq x y) True) (Eq False True))
% 3.39/3.73 Clause #46 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq a Xy → eq (pf a Xz) (pf Xy Xz)) True
% 3.39/3.73 Clause #47 (by clausification #[46]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq a a_1 → eq (pf a Xz) (pf a_1 Xz)) True
% 3.39/3.73 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : frac), Eq (eq a a_1 → eq (pf a a_2) (pf a_1 a_2)) True
% 3.39/3.73 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Eq (eq (pf a a_2) (pf a_1 a_2)) True)
% 3.39/3.73 Clause #51 (by clausification #[45]): ∀ (a : frac), Or (Eq (moref (pf x a) (pf y a)) True) (Eq (eq x y) True)
% 3.39/3.73 Clause #52 (by superposition #[51, 32]): ∀ (a : frac), Or (Eq (eq x y) True) (Or (Eq True False) (Eq (lessf (pf x a) (pf y a)) False))
% 3.39/3.73 Clause #54 (by clausification #[52]): ∀ (a : frac), Or (Eq (eq x y) True) (Eq (lessf (pf x a) (pf y a)) False)
% 3.39/3.73 Clause #55 (by superposition #[54, 0]): Or (Eq (eq x y) True) (Eq False True)
% 3.39/3.73 Clause #57 (by clausification #[55]): Eq (eq x y) True
% 3.39/3.73 Clause #62 (by superposition #[57, 49]): ∀ (a : frac), Or (Eq True False) (Eq (eq (pf x a) (pf y a)) True)
% 3.39/3.73 Clause #66 (by clausification #[62]): ∀ (a : frac), Eq (eq (pf x a) (pf y a)) True
% 3.39/3.73 Clause #67 (by superposition #[66, 39]): Eq True False
% 3.39/3.73 Clause #70 (by clausification #[67]): False
% 3.39/3.73 SZS output end Proof for theBenchmark.p
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