TSTP Solution File: NUM653^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 10:56:46 EDT 2023
% Result : Theorem 3.77s 4.02s
% Output : Proof 3.77s
% 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 : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n006.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 10:11:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.77/4.02 SZS status Theorem for theBenchmark.p
% 3.77/4.02 SZS output start Proof for theBenchmark.p
% 3.77/4.02 Clause #0 (by assumption #[]): Eq (Not (less x y) → Eq x y) True
% 3.77/4.02 Clause #2 (by assumption #[]): Eq
% 3.77/4.02 (∀ (Xx Xy : nat),
% 3.77/4.02 Not ((Eq Xx Xy → Not (more Xx Xy)) → Not (Not ((more Xx Xy → Not (less Xx Xy)) → Not (less Xx Xy → Ne Xx Xy)))))
% 3.77/4.02 True
% 3.77/4.02 Clause #3 (by assumption #[]): Eq (Not (Not (more x y))) True
% 3.77/4.02 Clause #8 (by clausification #[0]): Or (Eq (Not (less x y)) False) (Eq (Eq x y) True)
% 3.77/4.02 Clause #9 (by clausification #[8]): Or (Eq (Eq x y) True) (Eq (less x y) True)
% 3.77/4.02 Clause #10 (by clausification #[9]): Or (Eq (less x y) True) (Eq x y)
% 3.77/4.02 Clause #11 (by clausification #[3]): Eq (Not (more x y)) False
% 3.77/4.02 Clause #12 (by clausification #[11]): Eq (more x y) True
% 3.77/4.02 Clause #13 (by clausification #[2]): ∀ (a : nat),
% 3.77/4.02 Eq
% 3.77/4.02 (∀ (Xy : nat),
% 3.77/4.02 Not ((Eq a Xy → Not (more a Xy)) → Not (Not ((more a Xy → Not (less a Xy)) → Not (less a Xy → Ne a Xy)))))
% 3.77/4.02 True
% 3.77/4.02 Clause #14 (by clausification #[13]): ∀ (a a_1 : nat),
% 3.77/4.02 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)))))
% 3.77/4.02 True
% 3.77/4.02 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat),
% 3.77/4.02 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
% 3.77/4.02 Clause #16 (by clausification #[15]): ∀ (a a_1 : nat), Eq (Eq a a_1 → Not (more a a_1)) True
% 3.77/4.02 Clause #17 (by clausification #[15]): ∀ (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
% 3.77/4.02 Clause #18 (by clausification #[16]): ∀ (a a_1 : nat), Or (Eq (Eq a a_1) False) (Eq (Not (more a a_1)) True)
% 3.77/4.02 Clause #19 (by clausification #[18]): ∀ (a a_1 : nat), Or (Eq (Not (more a a_1)) True) (Ne a a_1)
% 3.77/4.02 Clause #20 (by clausification #[19]): ∀ (a a_1 : nat), Or (Ne a a_1) (Eq (more a a_1) False)
% 3.77/4.02 Clause #21 (by destructive equality resolution #[20]): ∀ (a : nat), Eq (more a a) False
% 3.77/4.02 Clause #22 (by clausification #[17]): ∀ (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
% 3.77/4.02 Clause #23 (by clausification #[22]): ∀ (a a_1 : nat), Eq ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Ne a a_1)) False
% 3.77/4.02 Clause #24 (by clausification #[23]): ∀ (a a_1 : nat), Eq (more a a_1 → Not (less a a_1)) True
% 3.77/4.02 Clause #26 (by clausification #[24]): ∀ (a a_1 : nat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True)
% 3.77/4.02 Clause #27 (by clausification #[26]): ∀ (a a_1 : nat), Or (Eq (more a a_1) False) (Eq (less a a_1) False)
% 3.77/4.02 Clause #28 (by superposition #[27, 12]): Or (Eq (less x y) False) (Eq False True)
% 3.77/4.02 Clause #33 (by clausification #[28]): Eq (less x y) False
% 3.77/4.02 Clause #34 (by superposition #[33, 10]): Or (Eq False True) (Eq x y)
% 3.77/4.02 Clause #35 (by clausification #[34]): Eq x y
% 3.77/4.02 Clause #37 (by backward demodulation #[35, 12]): Eq (more y y) True
% 3.77/4.02 Clause #39 (by superposition #[37, 21]): Eq True False
% 3.77/4.02 Clause #41 (by clausification #[39]): False
% 3.77/4.02 SZS output end Proof for theBenchmark.p
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