TSTP Solution File: SYN072+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 02:10:28 EDT 2023
% Result : Theorem 5.18s 5.38s
% Output : Proof 5.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n007.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 19:51:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.18/5.38 SZS status Theorem for theBenchmark.p
% 5.18/5.38 SZS output start Proof for theBenchmark.p
% 5.18/5.38 Clause #0 (by assumption #[]): Eq (Exists fun X => Exists fun Y => ∀ (Z : Iota), Or (Eq Z X) (Eq Z Y)) True
% 5.18/5.38 Clause #1 (by assumption #[]): Eq (big_p a) True
% 5.18/5.38 Clause #2 (by assumption #[]): Eq (big_p b) True
% 5.18/5.38 Clause #3 (by assumption #[]): Eq (Ne a b) True
% 5.18/5.38 Clause #4 (by assumption #[]): Eq (Not (∀ (X : Iota), big_p X)) True
% 5.18/5.38 Clause #5 (by clausification #[3]): Ne a b
% 5.18/5.38 Clause #6 (by clausification #[4]): Eq (∀ (X : Iota), big_p X) False
% 5.18/5.38 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (Not (big_p (skS.0 0 a))) True
% 5.18/5.38 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) False
% 5.18/5.38 Clause #9 (by clausification #[0]): ∀ (a : Iota), Eq (Exists fun Y => ∀ (Z : Iota), Or (Eq Z (skS.0 1 a)) (Eq Z Y)) True
% 5.18/5.38 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), Or (Eq Z (skS.0 1 a)) (Eq Z (skS.0 2 a a_1))) True
% 5.18/5.38 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (Or (Eq a (skS.0 1 a_1)) (Eq a (skS.0 2 a_1 a_2))) True
% 5.18/5.38 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a (skS.0 1 a_1)) True) (Eq (Eq a (skS.0 2 a_1 a_2)) True)
% 5.18/5.38 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a (skS.0 2 a_1 a_2)) True) (Eq a (skS.0 1 a_1))
% 5.18/5.38 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), Or (Eq a (skS.0 1 a_1)) (Eq a (skS.0 2 a_1 a_2))
% 5.18/5.38 Clause #22 (by superposition #[14, 14]): ∀ (a a_1 a_2 : Iota), Or (Eq a (skS.0 1 a_1)) (Or (Eq a_2 (skS.0 1 a_1)) (Eq a_2 a))
% 5.18/5.38 Clause #44 (by superposition #[22, 22]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq a (skS.0 1 a_1)) (Or (Eq a_2 a) (Or (Eq a_3 a_2) (Or (Eq a_4 a_2) (Eq a_4 a_3))))
% 5.18/5.38 Clause #84 (by superposition #[44, 22]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.18/5.38 Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq a_3 a) (Or (Eq a_3 a_2) (Or (Eq a_4 a_1) (Or (Eq a_5 a_1) (Eq a_5 a_4))))))
% 5.18/5.38 Clause #463 (by equality factoring #[84]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.18/5.38 Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq a_3 a_2) (Or (Eq a_4 a_1) (Or (Eq a a_1) (Or (Ne a_4 a_3) (Eq a_3 a))))))
% 5.18/5.38 Clause #662 (by eliminate duplicate literals #[463]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.18/5.38 Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq a_3 a_2) (Or (Eq a_4 a_1) (Or (Ne a_4 a_3) (Eq a_3 a)))))
% 5.18/5.38 Clause #663 (by destructive equality resolution #[662]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq a_3 a_2) (Or (Eq a_3 a_1) (Eq a_3 a))))
% 5.18/5.38 Clause #783 (by superposition #[663, 5]): ∀ (a_1 a_2 a_3 : Iota), Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq a_3 a_2) (Or (Eq a_3 a_1) (Ne a_3 b))))
% 5.18/5.38 Clause #1291 (by destructive equality resolution #[783]): ∀ (a_1 a_2 : Iota), Or (Eq a a_1) (Or (Eq a_2 a) (Or (Eq b a_2) (Eq b a_1)))
% 5.18/5.38 Clause #1360 (by equality factoring #[1291]): ∀ (a_1 a_2 : Iota), Or (Eq a a_1) (Or (Eq a_2 a) (Or (Ne a_1 a_2) (Eq b a_2)))
% 5.18/5.38 Clause #1362 (by destructive equality resolution #[1360]): ∀ (a_1 : Iota), Or (Eq a a_1) (Or (Eq a_1 a) (Eq b a_1))
% 5.18/5.38 Clause #1363 (by eliminate duplicate literals #[1362]): ∀ (a_1 : Iota), Or (Eq a a_1) (Eq b a_1)
% 5.18/5.38 Clause #1364 (by superposition #[1363, 1]): ∀ (a : Iota), Or (Eq b a) (Eq (big_p a) True)
% 5.18/5.38 Clause #1623 (by superposition #[1364, 2]): ∀ (a : Iota), Or (Eq (big_p a) True) (Eq (big_p a) True)
% 5.18/5.38 Clause #2223 (by eliminate duplicate literals #[1623]): ∀ (a : Iota), Eq (big_p a) True
% 5.18/5.38 Clause #2224 (by superposition #[2223, 8]): Eq True False
% 5.18/5.38 Clause #2231 (by clausification #[2224]): False
% 5.18/5.38 SZS output end Proof for theBenchmark.p
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