TSTP Solution File: SYN323+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:11:10 EDT 2023
% Result : Theorem 3.43s 3.72s
% Output : Proof 3.43s
% 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 : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n019.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 : Sat Aug 26 18:40:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.43/3.72 SZS status Theorem for theBenchmark.p
% 3.43/3.72 SZS output start Proof for theBenchmark.p
% 3.43/3.72 Clause #0 (by assumption #[]): Eq
% 3.43/3.72 (Not
% 3.43/3.72 (Exists fun Y =>
% 3.43/3.72 (∀ (X : Iota), (big_f X Y → big_f Y X) → big_g X Y) →
% 3.43/3.72 Not (∀ (X : Iota), (big_f X Y → big_f Y X) → Not (big_g X Y))))
% 3.43/3.72 True
% 3.43/3.72 Clause #1 (by clausification #[0]): Eq
% 3.43/3.72 (Exists fun Y =>
% 3.43/3.72 (∀ (X : Iota), (big_f X Y → big_f Y X) → big_g X Y) → Not (∀ (X : Iota), (big_f X Y → big_f Y X) → Not (big_g X Y)))
% 3.43/3.72 False
% 3.43/3.72 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.43/3.72 Eq
% 3.43/3.72 ((∀ (X : Iota), (big_f X a → big_f a X) → big_g X a) →
% 3.43/3.72 Not (∀ (X : Iota), (big_f X a → big_f a X) → Not (big_g X a)))
% 3.43/3.72 False
% 3.43/3.72 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (X : Iota), (big_f X a → big_f a X) → big_g X a) True
% 3.43/3.72 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Not (∀ (X : Iota), (big_f X a → big_f a X) → Not (big_g X a))) False
% 3.43/3.72 Clause #5 (by clausification #[3]): ∀ (a a_1 : Iota), Eq ((big_f a a_1 → big_f a_1 a) → big_g a a_1) True
% 3.43/3.72 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1 → big_f a_1 a) False) (Eq (big_g a a_1) True)
% 3.43/3.72 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (big_g a a_1) True) (Eq (big_f a a_1) True)
% 3.43/3.72 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (big_g a a_1) True) (Eq (big_f a_1 a) False)
% 3.43/3.72 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (X : Iota), (big_f X a → big_f a X) → Not (big_g X a)) True
% 3.43/3.72 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq ((big_f a a_1 → big_f a_1 a) → Not (big_g a a_1)) True
% 3.43/3.72 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1 → big_f a_1 a) False) (Eq (Not (big_g a a_1)) True)
% 3.43/3.72 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (Not (big_g a a_1)) True) (Eq (big_f a a_1) True)
% 3.43/3.72 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (Not (big_g a a_1)) True) (Eq (big_f a_1 a) False)
% 3.43/3.72 Clause #14 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_g a a_1) False)
% 3.43/3.72 Clause #15 (by superposition #[14, 7]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Or (Eq False True) (Eq (big_f a a_1) True))
% 3.43/3.72 Clause #16 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) False) (Eq (big_g a_1 a) False)
% 3.43/3.72 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_f a a_1) True)
% 3.43/3.72 Clause #18 (by eliminate duplicate literals #[17]): ∀ (a a_1 : Iota), Eq (big_f a a_1) True
% 3.43/3.72 Clause #20 (by backward demodulation #[18, 8]): ∀ (a a_1 : Iota), Or (Eq (big_g a a_1) True) (Eq True False)
% 3.43/3.72 Clause #22 (by backward demodulation #[18, 16]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (big_g a a_1) False)
% 3.43/3.72 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (big_g a a_1) False
% 3.43/3.72 Clause #24 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (big_g a a_1) True
% 3.43/3.72 Clause #25 (by superposition #[24, 23]): Eq True False
% 3.43/3.72 Clause #26 (by clausification #[25]): False
% 3.43/3.72 SZS output end Proof for theBenchmark.p
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