TSTP Solution File: NUM654^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM654^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 10:56:47 EDT 2023
% Result : Theorem 3.49s 3.72s
% Output : Proof 3.49s
% 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 : NUM654^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:46:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.49/3.72 SZS status Theorem for theBenchmark.p
% 3.49/3.72 SZS output start Proof for theBenchmark.p
% 3.49/3.72 Clause #0 (by assumption #[]): Eq (Not (more x y)) True
% 3.49/3.72 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy : nat), Ne Xx Xy → Not (more Xx Xy) → less Xx Xy) True
% 3.49/3.72 Clause #3 (by assumption #[]): Eq (Not (Not (less x y) → Eq x y)) True
% 3.49/3.72 Clause #8 (by clausification #[0]): Eq (more x y) False
% 3.49/3.72 Clause #9 (by clausification #[3]): Eq (Not (less x y) → Eq x y) False
% 3.49/3.72 Clause #10 (by clausification #[9]): Eq (Not (less x y)) True
% 3.49/3.72 Clause #11 (by clausification #[9]): Eq (Eq x y) False
% 3.49/3.72 Clause #12 (by clausification #[10]): Eq (less x y) False
% 3.49/3.72 Clause #13 (by clausification #[11]): Ne x y
% 3.49/3.72 Clause #14 (by clausification #[2]): ∀ (a : nat), Eq (∀ (Xy : nat), Ne a Xy → Not (more a Xy) → less a Xy) True
% 3.49/3.72 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Eq (Ne a a_1 → Not (more a a_1) → less a a_1) True
% 3.49/3.72 Clause #16 (by clausification #[15]): ∀ (a a_1 : nat), Or (Eq (Ne a a_1) False) (Eq (Not (more a a_1) → less a a_1) True)
% 3.49/3.72 Clause #17 (by clausification #[16]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1) → less a a_1) True) (Eq a a_1)
% 3.49/3.72 Clause #18 (by clausification #[17]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (Not (more a a_1)) False) (Eq (less a a_1) True))
% 3.49/3.72 Clause #19 (by clausification #[18]): ∀ (a a_1 : nat), Or (Eq a a_1) (Or (Eq (less a a_1) True) (Eq (more a a_1) True))
% 3.49/3.72 Clause #30 (by superposition #[19, 8]): Or (Eq x y) (Or (Eq (less x y) True) (Eq True False))
% 3.49/3.72 Clause #34 (by clausification #[30]): Or (Eq x y) (Eq (less x y) True)
% 3.49/3.72 Clause #35 (by forward contextual literal cutting #[34, 13]): Eq (less x y) True
% 3.49/3.72 Clause #36 (by superposition #[35, 12]): Eq True False
% 3.49/3.72 Clause #41 (by clausification #[36]): False
% 3.49/3.72 SZS output end Proof for theBenchmark.p
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