TSTP Solution File: NUM681^1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : NUM681^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 10:57:00 EDT 2023
% Result : Theorem 3.65s 3.91s
% 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
% 0.11/0.12 % Problem : NUM681^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.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 14:22:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.65/3.91 SZS status Theorem for theBenchmark.p
% 3.65/3.91 SZS output start Proof for theBenchmark.p
% 3.65/3.91 Clause #0 (by assumption #[]): Eq (Eq (pl x z) (pl y z)) True
% 3.65/3.91 Clause #2 (by assumption #[]): Eq
% 3.65/3.91 (∀ (Xx Xy : nat),
% 3.65/3.91 Not ((Eq Xx Xy → Not (more Xx Xy)) → Not (Not ((more Xx Xy → Not (less Xx Xy)) → Not (less Xx Xy → Ne Xx Xy)))))
% 3.65/3.91 True
% 3.65/3.91 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), less Xx Xy → less (pl Xx Xz) (pl Xy Xz)) True
% 3.65/3.91 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : nat), Ne Xx Xy → Not (more Xx Xy) → less Xx Xy) True
% 3.65/3.91 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), more Xx Xy → more (pl Xx Xz) (pl Xy Xz)) True
% 3.65/3.91 Clause #6 (by assumption #[]): Eq (Not (Eq x y)) True
% 3.65/3.91 Clause #11 (by clausification #[6]): Eq (Eq x y) False
% 3.65/3.91 Clause #12 (by clausification #[11]): Ne x y
% 3.65/3.91 Clause #13 (by clausification #[4]): ∀ (a : nat), Eq (∀ (Xy : nat), Ne a Xy → Not (more a Xy) → less a Xy) True
% 3.65/3.91 Clause #14 (by clausification #[13]): ∀ (a a_1 : nat), Eq (Ne a a_1 → Not (more a a_1) → less a a_1) True
% 3.65/3.91 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Or (Eq (Ne a a_1) False) (Eq (Not (more a a_1) → less a a_1) True)
% 3.65/3.91 Clause #16 (by clausification #[15]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1) → less a a_1) True) (Eq a a_1)
% 3.65/3.91 Clause #17 (by clausification #[16]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (Not (more a a_1)) False) (Eq (less a a_1) True))
% 3.65/3.91 Clause #18 (by clausification #[17]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (less a a_1) True) (Eq (more a a_1) True))
% 3.65/3.91 Clause #20 (by superposition #[18, 12]): ∀ (a : nat), Or (Eq (less a x) True) (Or (Eq (more a x) True) (Ne a y))
% 3.65/3.91 Clause #21 (by clausification #[0]): Eq (pl x z) (pl y z)
% 3.65/3.91 Clause #31 (by clausification #[2]): ∀ (a : nat),
% 3.65/3.91 Eq
% 3.65/3.91 (∀ (Xy : nat),
% 3.65/3.91 Not ((Eq a Xy → Not (more a Xy)) → Not (Not ((more a Xy → Not (less a Xy)) → Not (less a Xy → Ne a Xy)))))
% 3.65/3.91 True
% 3.65/3.91 Clause #32 (by clausification #[31]): ∀ (a a_1 : nat),
% 3.65/3.91 Eq (Not ((Eq a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)))))
% 3.65/3.91 True
% 3.65/3.91 Clause #33 (by clausification #[32]): ∀ (a a_1 : nat),
% 3.65/3.91 Eq ((Eq a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)))) False
% 3.65/3.91 Clause #34 (by clausification #[33]): ∀ (a a_1 : nat), Eq (Eq a a_1 → Not (more a a_1)) True
% 3.65/3.91 Clause #35 (by clausification #[33]): ∀ (a a_1 : nat), Eq (Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)))) False
% 3.65/3.91 Clause #36 (by clausification #[34]): ∀ (a a_1 : nat), Or (Eq (Eq a a_1) False) (Eq (Not (more a a_1)) True)
% 3.65/3.91 Clause #37 (by clausification #[36]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1)) True) (Ne a a_1)
% 3.65/3.91 Clause #38 (by clausification #[37]): ∀ (a a_1 : nat), Or (Ne a a_1) (Eq (more a a_1) False)
% 3.65/3.91 Clause #39 (by destructive equality resolution #[38]): ∀ (a : nat), Eq (more a a) False
% 3.65/3.91 Clause #40 (by clausification #[35]): ∀ (a a_1 : nat), Eq (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1))) True
% 3.65/3.91 Clause #41 (by clausification #[40]): ∀ (a a_1 : nat), Eq ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)) False
% 3.65/3.91 Clause #43 (by clausification #[41]): ∀ (a a_1 : nat), Eq (Not (less a a_1 → Ne a a_1)) False
% 3.65/3.91 Clause #46 (by clausification #[43]): ∀ (a a_1 : nat), Eq (less a a_1 → Ne a a_1) True
% 3.65/3.91 Clause #47 (by clausification #[46]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Eq (Ne a a_1) True)
% 3.65/3.91 Clause #48 (by clausification #[47]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Ne a a_1)
% 3.65/3.91 Clause #49 (by destructive equality resolution #[48]): ∀ (a : nat), Eq (less a a) False
% 3.65/3.91 Clause #50 (by destructive equality resolution #[20]): Or (Eq (less y x) True) (Eq (more y x) True)
% 3.65/3.91 Clause #55 (by clausification #[5]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), more a Xy → more (pl a Xz) (pl Xy Xz)) True
% 3.65/3.91 Clause #56 (by clausification #[55]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), more a a_1 → more (pl a Xz) (pl a_1 Xz)) True
% 3.65/3.91 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : nat), Eq (more a a_1 → more (pl a a_2) (pl a_1 a_2)) True
% 3.65/3.92 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : nat), Or (Eq (more a a_1) False) (Eq (more (pl a a_2) (pl a_1 a_2)) True)
% 3.65/3.92 Clause #59 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), less a Xy → less (pl a Xz) (pl Xy Xz)) True
% 3.65/3.92 Clause #60 (by clausification #[59]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), less a a_1 → less (pl a Xz) (pl a_1 Xz)) True
% 3.65/3.92 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : nat), Eq (less a a_1 → less (pl a a_2) (pl a_1 a_2)) True
% 3.65/3.92 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : nat), Or (Eq (less a a_1) False) (Eq (less (pl a a_2) (pl a_1 a_2)) True)
% 3.65/3.92 Clause #64 (by superposition #[62, 50]): ∀ (a : nat), Or (Eq (less (pl y a) (pl x a)) True) (Or (Eq False True) (Eq (more y x) True))
% 3.65/3.92 Clause #81 (by clausification #[64]): ∀ (a : nat), Or (Eq (less (pl y a) (pl x a)) True) (Eq (more y x) True)
% 3.65/3.92 Clause #83 (by superposition #[81, 21]): Or (Eq (less (pl y z) (pl y z)) True) (Eq (more y x) True)
% 3.65/3.92 Clause #95 (by superposition #[83, 49]): Or (Eq (more y x) True) (Eq True False)
% 3.65/3.92 Clause #103 (by clausification #[95]): Eq (more y x) True
% 3.65/3.92 Clause #108 (by superposition #[103, 58]): ∀ (a : nat), Or (Eq True False) (Eq (more (pl y a) (pl x a)) True)
% 3.65/3.92 Clause #124 (by clausification #[108]): ∀ (a : nat), Eq (more (pl y a) (pl x a)) True
% 3.65/3.92 Clause #127 (by superposition #[124, 21]): Eq (more (pl y z) (pl y z)) True
% 3.65/3.92 Clause #136 (by superposition #[127, 39]): Eq True False
% 3.65/3.92 Clause #145 (by clausification #[136]): False
% 3.65/3.92 SZS output end Proof for theBenchmark.p
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