TSTP Solution File: NUM667^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM667^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 10:56:54 EDT 2023
% Result : Theorem 3.37s 3.61s
% Output : Proof 3.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM667^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n009.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 16:21:06 EDT 2023
% 0.13/0.36 % CPUTime :
% 3.37/3.61 SZS status Theorem for theBenchmark.p
% 3.37/3.61 SZS output start Proof for theBenchmark.p
% 3.37/3.61 Clause #0 (by assumption #[]): Eq (Not (less x y) → Eq x y) True
% 3.37/3.61 Clause #1 (by assumption #[]): Eq (Not (less y z) → Eq y z) True
% 3.37/3.61 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), (Not (less Xx Xy) → Eq Xx Xy) → less Xy Xz → less Xx Xz) True
% 3.37/3.61 Clause #5 (by assumption #[]): Eq (Not (Not (less x z) → Eq x z)) True
% 3.37/3.61 Clause #10 (by clausification #[1]): Or (Eq (Not (less y z)) False) (Eq (Eq y z) True)
% 3.37/3.61 Clause #11 (by clausification #[10]): Or (Eq (Eq y z) True) (Eq (less y z) True)
% 3.37/3.61 Clause #12 (by clausification #[11]): Or (Eq (less y z) True) (Eq y z)
% 3.37/3.61 Clause #13 (by clausification #[0]): Or (Eq (Not (less x y)) False) (Eq (Eq x y) True)
% 3.37/3.61 Clause #14 (by clausification #[13]): Or (Eq (Eq x y) True) (Eq (less x y) True)
% 3.37/3.61 Clause #15 (by clausification #[14]): Or (Eq (less x y) True) (Eq x y)
% 3.37/3.61 Clause #16 (by clausification #[5]): Eq (Not (less x z) → Eq x z) False
% 3.37/3.61 Clause #17 (by clausification #[16]): Eq (Not (less x z)) True
% 3.37/3.61 Clause #18 (by clausification #[16]): Eq (Eq x z) False
% 3.37/3.61 Clause #19 (by clausification #[17]): Eq (less x z) False
% 3.37/3.61 Clause #20 (by clausification #[18]): Ne x z
% 3.37/3.61 Clause #21 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), (Not (less a Xy) → Eq a Xy) → less Xy Xz → less a Xz) True
% 3.37/3.61 Clause #22 (by clausification #[21]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), (Not (less a a_1) → Eq a a_1) → less a_1 Xz → less a Xz) True
% 3.37/3.61 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : nat), Eq ((Not (less a a_1) → Eq a a_1) → less a_1 a_2 → less a a_2) True
% 3.37/3.61 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : nat), Or (Eq (Not (less a a_1) → Eq a a_1) False) (Eq (less a_1 a_2 → less a a_2) True)
% 3.37/3.61 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : nat), Or (Eq (less a a_1 → less a_2 a_1) True) (Eq (Not (less a_2 a)) True)
% 3.37/3.61 Clause #27 (by clausification #[25]): ∀ (a a_1 a_2 : nat), Or (Eq (Not (less a a_1)) True) (Or (Eq (less a_1 a_2) False) (Eq (less a a_2) True))
% 3.37/3.61 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : nat), Or (Eq (less a a_1) False) (Or (Eq (less a_2 a_1) True) (Eq (less a_2 a) False))
% 3.37/3.61 Clause #29 (by superposition #[28, 12]): ∀ (a : nat), Or (Eq (less a z) True) (Or (Eq (less a y) False) (Or (Eq False True) (Eq y z)))
% 3.37/3.61 Clause #44 (by clausification #[29]): ∀ (a : nat), Or (Eq (less a z) True) (Or (Eq (less a y) False) (Eq y z))
% 3.37/3.61 Clause #45 (by superposition #[44, 15]): Or (Eq (less x z) True) (Or (Eq y z) (Or (Eq False True) (Eq x y)))
% 3.37/3.61 Clause #46 (by clausification #[45]): Or (Eq (less x z) True) (Or (Eq y z) (Eq x y))
% 3.37/3.61 Clause #47 (by superposition #[46, 19]): Or (Eq y z) (Or (Eq x y) (Eq True False))
% 3.37/3.61 Clause #50 (by clausification #[47]): Or (Eq y z) (Eq x y)
% 3.37/3.61 Clause #51 (by superposition #[50, 19]): Or (Eq y z) (Eq (less y z) False)
% 3.37/3.61 Clause #54 (by superposition #[51, 12]): Or (Eq y z) (Or (Eq False True) (Eq y z))
% 3.37/3.61 Clause #55 (by clausification #[54]): Or (Eq y z) (Eq y z)
% 3.37/3.61 Clause #56 (by eliminate duplicate literals #[55]): Eq y z
% 3.37/3.61 Clause #58 (by backward demodulation #[56, 15]): Or (Eq (less x z) True) (Eq x y)
% 3.37/3.61 Clause #65 (by forward demodulation #[58, 56]): Or (Eq (less x z) True) (Eq x z)
% 3.37/3.61 Clause #66 (by forward contextual literal cutting #[65, 20]): Eq (less x z) True
% 3.37/3.61 Clause #67 (by superposition #[66, 19]): Eq True False
% 3.37/3.61 Clause #70 (by clausification #[67]): False
% 3.37/3.61 SZS output end Proof for theBenchmark.p
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