TSTP Solution File: SYO171^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO171^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri Sep 1 04:21:43 EDT 2023
% Result : Theorem 3.22s 3.59s
% Output : Proof 3.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO171^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n006.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 : Sat Aug 26 06:09:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.22/3.59 SZS status Theorem for theBenchmark.p
% 3.22/3.59 SZS output start Proof for theBenchmark.p
% 3.22/3.59 Clause #0 (by assumption #[]): Eq
% 3.22/3.59 (Not
% 3.22/3.59 (Not
% 3.22/3.59 (And
% 3.22/3.59 (And
% 3.22/3.59 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B)))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a))))))
% 3.22/3.59 True
% 3.22/3.59 Clause #1 (by clausification #[0]): Eq
% 3.22/3.59 (Not
% 3.22/3.59 (And
% 3.22/3.59 (And
% 3.22/3.59 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B)))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a)))))
% 3.22/3.59 False
% 3.22/3.59 Clause #2 (by clausification #[1]): Eq
% 3.22/3.59 (And
% 3.22/3.59 (And
% 3.22/3.59 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B)))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a))))
% 3.22/3.59 True
% 3.22/3.59 Clause #3 (by clausification #[2]): Eq (∀ (A B : Iota), Or (Not (g A B)) (Not (g B a))) True
% 3.22/3.59 Clause #4 (by clausification #[2]): Eq
% 3.22/3.59 (And
% 3.22/3.59 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B)))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g B (f B))))
% 3.22/3.59 True
% 3.22/3.59 Clause #5 (by clausification #[3]): ∀ (a_1 : Iota), Eq (∀ (B : Iota), Or (Not (g a_1 B)) (Not (g B a))) True
% 3.22/3.59 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota), Eq (Or (Not (g a_1 a_2)) (Not (g a_2 a))) True
% 3.22/3.59 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 : Iota), Or (Eq (Not (g a_1 a_2)) True) (Eq (Not (g a_2 a)) True)
% 3.22/3.59 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 : Iota), Or (Eq (Not (g a_1 a)) True) (Eq (g a_2 a_1) False)
% 3.22/3.59 Clause #9 (by clausification #[8]): ∀ (a_1 a_2 : Iota), Or (Eq (g a_1 a_2) False) (Eq (g a_2 a) False)
% 3.22/3.59 Clause #11 (by clausification #[4]): Eq
% 3.22/3.59 (And (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A))))
% 3.22/3.59 (∀ (A B : Iota), Or (Not (g A B)) (g (f B) B)))
% 3.22/3.59 True
% 3.22/3.59 Clause #17 (by clausification #[11]): Eq (And (∀ (A : Iota), Or (g A a) (g (f A) A)) (∀ (A : Iota), Or (g A a) (g A (f A)))) True
% 3.22/3.59 Clause #22 (by clausification #[17]): Eq (∀ (A : Iota), Or (g A a) (g A (f A))) True
% 3.22/3.59 Clause #23 (by clausification #[17]): Eq (∀ (A : Iota), Or (g A a) (g (f A) A)) True
% 3.22/3.59 Clause #24 (by clausification #[22]): ∀ (a_1 : Iota), Eq (Or (g a_1 a) (g a_1 (f a_1))) True
% 3.22/3.59 Clause #25 (by clausification #[24]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g a_1 (f a_1)) True)
% 3.22/3.59 Clause #26 (by superposition #[25, 9]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Or (Eq True False) (Eq (g (f a_1) a) False))
% 3.22/3.59 Clause #29 (by clausification #[23]): ∀ (a_1 : Iota), Eq (Or (g a_1 a) (g (f a_1) a_1)) True
% 3.22/3.59 Clause #30 (by clausification #[29]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g (f a_1) a_1) True)
% 3.22/3.59 Clause #33 (by clausification #[26]): ∀ (a_1 : Iota), Or (Eq (g a_1 a) True) (Eq (g (f a_1) a) False)
% 3.22/3.59 Clause #34 (by superposition #[33, 30]): Or (Eq (g a a) True) (Or (Eq (g a a) True) (Eq False True))
% 3.22/3.59 Clause #35 (by clausification #[34]): Or (Eq (g a a) True) (Eq (g a a) True)
% 3.22/3.59 Clause #36 (by eliminate duplicate literals #[35]): Eq (g a a) True
% 3.22/3.59 Clause #37 (by superposition #[36, 9]): Or (Eq True False) (Eq True False)
% 3.22/3.59 Clause #40 (by clausification #[37]): Eq True False
% 3.22/3.59 Clause #41 (by clausification #[40]): False
% 3.22/3.59 SZS output end Proof for theBenchmark.p
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