TSTP Solution File: SYN326+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 02:11:11 EDT 2023
% Result : Theorem 5.05s 5.31s
% Output : Proof 5.05s
% 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 : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n031.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 22:14:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.05/5.31 SZS status Theorem for theBenchmark.p
% 5.05/5.31 SZS output start Proof for theBenchmark.p
% 5.05/5.31 Clause #0 (by assumption #[]): Eq
% 5.05/5.31 (Not
% 5.05/5.31 (Exists fun X =>
% 5.05/5.31 ∀ (Y Z : Iota),
% 5.05/5.31 ((big_f Y Z → big_g Y → big_h X) → big_f X X) → ((big_f Z X → big_g X) → big_h Z) → big_f X Y → big_f Z Z))
% 5.05/5.31 True
% 5.05/5.31 Clause #1 (by clausification #[0]): Eq
% 5.05/5.31 (Exists fun X =>
% 5.05/5.31 ∀ (Y Z : Iota),
% 5.05/5.31 ((big_f Y Z → big_g Y → big_h X) → big_f X X) → ((big_f Z X → big_g X) → big_h Z) → big_f X Y → big_f Z Z)
% 5.05/5.31 False
% 5.05/5.31 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (∀ (Y Z : Iota),
% 5.05/5.31 ((big_f Y Z → big_g Y → big_h a) → big_f a a) → ((big_f Z a → big_g a) → big_h Z) → big_f a Y → big_f Z Z)
% 5.05/5.31 False
% 5.05/5.31 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (Not
% 5.05/5.31 (∀ (Z : Iota),
% 5.05/5.31 ((big_f (skS.0 0 a a_1) Z → big_g (skS.0 0 a a_1) → big_h a) → big_f a a) →
% 5.05/5.31 ((big_f Z a → big_g a) → big_h Z) → big_f a (skS.0 0 a a_1) → big_f Z Z))
% 5.05/5.31 True
% 5.05/5.31 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (∀ (Z : Iota),
% 5.05/5.31 ((big_f (skS.0 0 a a_1) Z → big_g (skS.0 0 a a_1) → big_h a) → big_f a a) →
% 5.05/5.31 ((big_f Z a → big_g a) → big_h Z) → big_f a (skS.0 0 a a_1) → big_f Z Z)
% 5.05/5.31 False
% 5.05/5.31 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (Not
% 5.05/5.31 (((big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2) → big_g (skS.0 0 a a_1) → big_h a) → big_f a a) →
% 5.05/5.31 ((big_f (skS.0 1 a a_1 a_2) a → big_g a) → big_h (skS.0 1 a a_1 a_2)) →
% 5.05/5.31 big_f a (skS.0 0 a a_1) → big_f (skS.0 1 a a_1 a_2) (skS.0 1 a a_1 a_2)))
% 5.05/5.31 True
% 5.05/5.31 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (((big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2) → big_g (skS.0 0 a a_1) → big_h a) → big_f a a) →
% 5.05/5.31 ((big_f (skS.0 1 a a_1 a_2) a → big_g a) → big_h (skS.0 1 a a_1 a_2)) →
% 5.05/5.31 big_f a (skS.0 0 a a_1) → big_f (skS.0 1 a a_1 a_2) (skS.0 1 a a_1 a_2))
% 5.05/5.31 False
% 5.05/5.31 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 5.05/5.31 Eq ((big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2) → big_g (skS.0 0 a a_1) → big_h a) → big_f a a) True
% 5.05/5.31 Clause #8 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 5.05/5.31 Eq
% 5.05/5.31 (((big_f (skS.0 1 a a_1 a_2) a → big_g a) → big_h (skS.0 1 a a_1 a_2)) →
% 5.05/5.31 big_f a (skS.0 0 a a_1) → big_f (skS.0 1 a a_1 a_2) (skS.0 1 a a_1 a_2))
% 5.05/5.31 False
% 5.05/5.31 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 5.05/5.31 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2) → big_g (skS.0 0 a a_1) → big_h a) False) (Eq (big_f a a) True)
% 5.05/5.31 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_f a a) True) (Eq (big_g (skS.0 0 a a_1) → big_h a) False)
% 5.05/5.31 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (big_f a a) True) (Eq (big_g (skS.0 0 a a_1)) True)
% 5.05/5.31 Clause #13 (by clausification #[11]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Eq (big_h a) False)
% 5.05/5.31 Clause #14 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Eq ((big_f (skS.0 1 a a_1 a_2) a → big_g a) → big_h (skS.0 1 a a_1 a_2)) True
% 5.05/5.31 Clause #15 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Eq (big_f a (skS.0 0 a a_1) → big_f (skS.0 1 a a_1 a_2) (skS.0 1 a a_1 a_2)) False
% 5.05/5.31 Clause #16 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 1 a a_1 a_2) a → big_g a) False) (Eq (big_h (skS.0 1 a a_1 a_2)) True)
% 5.05/5.31 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_h (skS.0 1 a a_1 a_2)) True) (Eq (big_g a) False)
% 5.05/5.31 Clause #21 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 1 a a_1 a_2) (skS.0 1 a a_1 a_2)) False
% 5.05/5.31 Clause #22 (by superposition #[21, 12]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq False True) (Eq (big_g (skS.0 0 (skS.0 1 a a_1 a_2) a_3)) True)
% 5.05/5.31 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_g (skS.0 0 (skS.0 1 a a_1 a_2) a_3)) True
% 5.05/5.31 Clause #24 (by superposition #[23, 18]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.05/5.31 Or (Eq (big_h (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5)) True) (Eq True False)
% 5.05/5.31 Clause #27 (by clausification #[24]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (big_h (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5)) True
% 5.05/5.32 Clause #28 (by superposition #[27, 13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.05/5.32 Or
% 5.05/5.32 (Eq (big_f (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5) (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5))
% 5.05/5.32 True)
% 5.05/5.32 (Eq True False)
% 5.05/5.32 Clause #31 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 5.05/5.32 Eq (big_f (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5) (skS.0 1 (skS.0 0 (skS.0 1 a a_1 a_2) a_3) a_4 a_5))
% 5.05/5.32 True
% 5.05/5.32 Clause #32 (by superposition #[31, 21]): Eq True False
% 5.05/5.32 Clause #33 (by clausification #[32]): False
% 5.05/5.32 SZS output end Proof for theBenchmark.p
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