TSTP Solution File: NUM682^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM682^1 : 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 10:57:01 EDT 2023
% Result : Theorem 3.46s 3.62s
% Output : Proof 3.46s
% 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 : NUM682^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n005.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 16:35:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.46/3.62 SZS status Theorem for theBenchmark.p
% 3.46/3.62 SZS output start Proof for theBenchmark.p
% 3.46/3.62 Clause #0 (by assumption #[]): Eq (less (pl x z) (pl y z)) True
% 3.46/3.62 Clause #2 (by assumption #[]): Eq
% 3.46/3.62 (∀ (Xx Xy : nat),
% 3.46/3.62 Not ((Eq Xx Xy → Not (more Xx Xy)) → Not (Not ((more Xx Xy → Not (less Xx Xy)) → Not (less Xx Xy → Ne Xx Xy)))))
% 3.46/3.62 True
% 3.46/3.62 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), more Xx Xy → more (pl Xx Xz) (pl Xy Xz)) True
% 3.46/3.62 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy : nat), Ne Xx Xy → Not (more Xx Xy) → less Xx Xy) True
% 3.46/3.62 Clause #6 (by assumption #[]): Eq (Not (less x y)) True
% 3.46/3.62 Clause #11 (by clausification #[6]): Eq (less x y) False
% 3.46/3.62 Clause #12 (by clausification #[5]): ∀ (a : nat), Eq (∀ (Xy : nat), Ne a Xy → Not (more a Xy) → less a Xy) True
% 3.46/3.62 Clause #13 (by clausification #[12]): ∀ (a a_1 : nat), Eq (Ne a a_1 → Not (more a a_1) → less a a_1) True
% 3.46/3.62 Clause #14 (by clausification #[13]): ∀ (a a_1 : nat), Or (Eq (Ne a a_1) False) (Eq (Not (more a a_1) → less a a_1) True)
% 3.46/3.62 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1) → less a a_1) True) (Eq a a_1)
% 3.46/3.62 Clause #16 (by clausification #[15]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (Not (more a a_1)) False) (Eq (less a a_1) True))
% 3.46/3.62 Clause #17 (by clausification #[16]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (less a a_1) True) (Eq (more a a_1) True))
% 3.46/3.62 Clause #32 (by superposition #[17, 11]): Or (Eq x y) (Or (Eq (more x y) True) (Eq True False))
% 3.46/3.62 Clause #33 (by clausification #[32]): Or (Eq x y) (Eq (more x y) True)
% 3.46/3.62 Clause #38 (by clausification #[2]): ∀ (a : nat),
% 3.46/3.62 Eq
% 3.46/3.62 (∀ (Xy : nat),
% 3.46/3.62 Not ((Eq a Xy → Not (more a Xy)) → Not (Not ((more a Xy → Not (less a Xy)) → Not (less a Xy → Ne a Xy)))))
% 3.46/3.62 True
% 3.46/3.62 Clause #39 (by clausification #[38]): ∀ (a a_1 : nat),
% 3.46/3.62 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)))))
% 3.46/3.62 True
% 3.46/3.62 Clause #40 (by clausification #[39]): ∀ (a a_1 : nat),
% 3.46/3.62 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
% 3.46/3.62 Clause #42 (by clausification #[40]): ∀ (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
% 3.46/3.62 Clause #47 (by clausification #[42]): ∀ (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
% 3.46/3.62 Clause #48 (by clausification #[47]): ∀ (a a_1 : nat), Eq ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)) False
% 3.46/3.62 Clause #49 (by clausification #[48]): ∀ (a a_1 : nat), Eq (more a a_1 → Not (less a a_1)) True
% 3.46/3.62 Clause #50 (by clausification #[48]): ∀ (a a_1 : nat), Eq (Not (less a a_1 → Ne a a_1)) False
% 3.46/3.62 Clause #51 (by clausification #[49]): ∀ (a a_1 : nat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True)
% 3.46/3.62 Clause #52 (by clausification #[51]): ∀ (a a_1 : nat), Or (Eq (more a a_1) False) (Eq (less a a_1) False)
% 3.46/3.62 Clause #54 (by clausification #[50]): ∀ (a a_1 : nat), Eq (less a a_1 → Ne a a_1) True
% 3.46/3.62 Clause #55 (by clausification #[54]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Eq (Ne a a_1) True)
% 3.46/3.62 Clause #56 (by clausification #[55]): ∀ (a a_1 : nat), Or (Eq (less a a_1) False) (Ne a a_1)
% 3.46/3.62 Clause #57 (by destructive equality resolution #[56]): ∀ (a : nat), Eq (less a a) False
% 3.46/3.62 Clause #65 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), more a Xy → more (pl a Xz) (pl Xy Xz)) True
% 3.46/3.62 Clause #66 (by clausification #[65]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), more a a_1 → more (pl a Xz) (pl a_1 Xz)) True
% 3.46/3.62 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : nat), Eq (more a a_1 → more (pl a a_2) (pl a_1 a_2)) True
% 3.46/3.62 Clause #68 (by clausification #[67]): ∀ (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)
% 3.46/3.62 Clause #69 (by superposition #[68, 33]): ∀ (a : nat), Or (Eq (more (pl x a) (pl y a)) True) (Or (Eq x y) (Eq False True))
% 3.46/3.62 Clause #70 (by clausification #[69]): ∀ (a : nat), Or (Eq (more (pl x a) (pl y a)) True) (Eq x y)
% 3.46/3.62 Clause #71 (by superposition #[70, 52]): ∀ (a : nat), Or (Eq x y) (Or (Eq True False) (Eq (less (pl x a) (pl y a)) False))
% 3.46/3.62 Clause #81 (by clausification #[71]): ∀ (a : nat), Or (Eq x y) (Eq (less (pl x a) (pl y a)) False)
% 3.46/3.62 Clause #82 (by superposition #[81, 0]): Or (Eq x y) (Eq False True)
% 3.46/3.62 Clause #92 (by clausification #[82]): Eq x y
% 3.46/3.62 Clause #94 (by backward demodulation #[92, 0]): Eq (less (pl y z) (pl y z)) True
% 3.46/3.62 Clause #107 (by superposition #[94, 57]): Eq True False
% 3.46/3.62 Clause #114 (by clausification #[107]): False
% 3.46/3.62 SZS output end Proof for theBenchmark.p
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