TSTP Solution File: SYN331+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 02:11:13 EDT 2023
% Result : Theorem 3.51s 3.70s
% Output : Proof 3.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n027.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 19:10:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.51/3.70 SZS status Theorem for theBenchmark.p
% 3.51/3.70 SZS output start Proof for theBenchmark.p
% 3.51/3.70 Clause #0 (by assumption #[]): Eq
% 3.51/3.70 (Not
% 3.51/3.70 (Exists fun X =>
% 3.51/3.70 Exists fun Y =>
% 3.51/3.70 ∀ (Z : Iota),
% 3.51/3.70 big_f X Z →
% 3.51/3.70 big_f Y Z → Iff (big_f X Y) (big_f Z Z) → Or (big_f Y X) (big_f Z Z) → Or (big_f Z X) (big_f Z Y)))
% 3.51/3.70 True
% 3.51/3.70 Clause #1 (by clausification #[0]): Eq
% 3.51/3.70 (Exists fun X =>
% 3.51/3.70 Exists fun Y =>
% 3.51/3.70 ∀ (Z : Iota),
% 3.51/3.70 big_f X Z → big_f Y Z → Iff (big_f X Y) (big_f Z Z) → Or (big_f Y X) (big_f Z Z) → Or (big_f Z X) (big_f Z Y))
% 3.51/3.70 False
% 3.51/3.70 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (Exists fun Y =>
% 3.51/3.70 ∀ (Z : Iota),
% 3.51/3.70 big_f a Z → big_f Y Z → Iff (big_f a Y) (big_f Z Z) → Or (big_f Y a) (big_f Z Z) → Or (big_f Z a) (big_f Z Y))
% 3.51/3.70 False
% 3.51/3.70 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (∀ (Z : Iota),
% 3.51/3.70 big_f a Z →
% 3.51/3.70 big_f a_1 Z → Iff (big_f a a_1) (big_f Z Z) → Or (big_f a_1 a) (big_f Z Z) → Or (big_f Z a) (big_f Z a_1))
% 3.51/3.70 False
% 3.51/3.70 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (Not
% 3.51/3.70 (big_f a (skS.0 0 a a_1 a_2) →
% 3.51/3.70 big_f a_1 (skS.0 0 a a_1 a_2) →
% 3.51/3.70 Iff (big_f a a_1) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f a_1 a) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f (skS.0 0 a a_1 a_2) a) (big_f (skS.0 0 a a_1 a_2) a_1)))
% 3.51/3.70 True
% 3.51/3.70 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (big_f a (skS.0 0 a a_1 a_2) →
% 3.51/3.70 big_f a_1 (skS.0 0 a a_1 a_2) →
% 3.51/3.70 Iff (big_f a a_1) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f a_1 a) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f (skS.0 0 a a_1 a_2) a) (big_f (skS.0 0 a a_1 a_2) a_1))
% 3.51/3.70 False
% 3.51/3.70 Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (big_f a (skS.0 0 a_1 a a_2) →
% 3.51/3.70 Iff (big_f a_1 a) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) →
% 3.51/3.70 Or (big_f a a_1) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) →
% 3.51/3.70 Or (big_f (skS.0 0 a_1 a a_2) a_1) (big_f (skS.0 0 a_1 a a_2) a))
% 3.51/3.70 False
% 3.51/3.70 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (Iff (big_f a a_1) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f a_1 a) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) →
% 3.51/3.70 Or (big_f (skS.0 0 a a_1 a_2) a) (big_f (skS.0 0 a a_1 a_2) a_1))
% 3.51/3.70 False
% 3.51/3.70 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Eq (Iff (big_f a a_1) (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2))) True
% 3.51/3.70 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.70 Eq
% 3.51/3.70 (Or (big_f a a_1) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) →
% 3.51/3.70 Or (big_f (skS.0 0 a_1 a a_2) a_1) (big_f (skS.0 0 a_1 a a_2) a))
% 3.51/3.70 False
% 3.51/3.70 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_f (skS.0 0 a a_1 a_2) (skS.0 0 a a_1 a_2)) False)
% 3.51/3.70 Clause #16 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Eq (Or (big_f a a_1) (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2))) True
% 3.51/3.70 Clause #17 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Eq (Or (big_f (skS.0 0 a a_1 a_2) a) (big_f (skS.0 0 a a_1 a_2) a_1)) False
% 3.51/3.70 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_f (skS.0 0 a_1 a a_2) (skS.0 0 a_1 a a_2)) True)
% 3.51/3.70 Clause #19 (by superposition #[18, 12]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Or (Eq (big_f a_1 a) True) (Eq True False))
% 3.51/3.70 Clause #24 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_f a_1 a) True)
% 3.51/3.70 Clause #26 (by equality factoring #[24]): ∀ (a : Iota), Or (Ne True True) (Eq (big_f a a) True)
% 3.51/3.70 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Or (Eq True False) (Eq True False))
% 3.51/3.70 Clause #29 (by clausification #[27]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Eq True False)
% 3.51/3.70 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (big_f a a) True
% 3.51/3.70 Clause #31 (by superposition #[30, 12]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq True False)
% 3.51/3.71 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (big_f a a_1) True
% 3.51/3.71 Clause #35 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 0 a a_1 a_2) a_1) False
% 3.51/3.71 Clause #37 (by superposition #[35, 32]): Eq False True
% 3.51/3.71 Clause #38 (by clausification #[37]): False
% 3.51/3.71 SZS output end Proof for theBenchmark.p
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