TSTP Solution File: SYN319+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 02:11:09 EDT 2023
% Result : Theorem 3.50s 3.69s
% Output : Proof 3.50s
% 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 : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n003.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 19:13:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.50/3.69 SZS status Theorem for theBenchmark.p
% 3.50/3.69 SZS output start Proof for theBenchmark.p
% 3.50/3.69 Clause #0 (by assumption #[]): Eq
% 3.50/3.69 (Not
% 3.50/3.69 (Exists fun X =>
% 3.50/3.69 Exists fun Y =>
% 3.50/3.69 ∀ (Z1 Z2 : Iota),
% 3.50/3.69 ((big_f Y → big_g Z1) → And (big_g X) (Not (big_f Z1))) →
% 3.50/3.69 (Or (big_f X) (big_g X) → big_h X) → And (big_h Z2) (big_h Y → Or (big_f Z2) (big_g Z2) → big_h Z2)))
% 3.50/3.69 True
% 3.50/3.69 Clause #1 (by clausification #[0]): Eq
% 3.50/3.69 (Exists fun X =>
% 3.50/3.69 Exists fun Y =>
% 3.50/3.69 ∀ (Z1 Z2 : Iota),
% 3.50/3.69 ((big_f Y → big_g Z1) → And (big_g X) (Not (big_f Z1))) →
% 3.50/3.69 (Or (big_f X) (big_g X) → big_h X) → And (big_h Z2) (big_h Y → Or (big_f Z2) (big_g Z2) → big_h Z2))
% 3.50/3.69 False
% 3.50/3.69 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (Exists fun Y =>
% 3.50/3.69 ∀ (Z1 Z2 : Iota),
% 3.50/3.69 ((big_f Y → big_g Z1) → And (big_g a) (Not (big_f Z1))) →
% 3.50/3.69 (Or (big_f a) (big_g a) → big_h a) → And (big_h Z2) (big_h Y → Or (big_f Z2) (big_g Z2) → big_h Z2))
% 3.50/3.69 False
% 3.50/3.69 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (∀ (Z1 Z2 : Iota),
% 3.50/3.69 ((big_f a → big_g Z1) → And (big_g a_1) (Not (big_f Z1))) →
% 3.50/3.69 (Or (big_f a_1) (big_g a_1) → big_h a_1) → And (big_h Z2) (big_h a → Or (big_f Z2) (big_g Z2) → big_h Z2))
% 3.50/3.69 False
% 3.50/3.69 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (Not
% 3.50/3.69 (∀ (Z2 : Iota),
% 3.50/3.69 ((big_f a → big_g (skS.0 0 a a_1 a_2)) → And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) →
% 3.50/3.69 (Or (big_f a_1) (big_g a_1) → big_h a_1) → And (big_h Z2) (big_h a → Or (big_f Z2) (big_g Z2) → big_h Z2)))
% 3.50/3.69 True
% 3.50/3.69 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (∀ (Z2 : Iota),
% 3.50/3.69 ((big_f a → big_g (skS.0 0 a a_1 a_2)) → And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) →
% 3.50/3.69 (Or (big_f a_1) (big_g a_1) → big_h a_1) → And (big_h Z2) (big_h a → Or (big_f Z2) (big_g Z2) → big_h Z2))
% 3.50/3.69 False
% 3.50/3.69 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (Not
% 3.50/3.69 (((big_f a → big_g (skS.0 0 a a_1 a_2)) → And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) →
% 3.50/3.69 (Or (big_f a_1) (big_g a_1) → big_h a_1) →
% 3.50/3.69 And (big_h (skS.0 1 a a_1 a_2 a_3))
% 3.50/3.69 (big_h a →
% 3.50/3.69 Or (big_f (skS.0 1 a a_1 a_2 a_3)) (big_g (skS.0 1 a a_1 a_2 a_3)) → big_h (skS.0 1 a a_1 a_2 a_3))))
% 3.50/3.69 True
% 3.50/3.69 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (((big_f a → big_g (skS.0 0 a a_1 a_2)) → And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) →
% 3.50/3.69 (Or (big_f a_1) (big_g a_1) → big_h a_1) →
% 3.50/3.69 And (big_h (skS.0 1 a a_1 a_2 a_3))
% 3.50/3.69 (big_h a →
% 3.50/3.69 Or (big_f (skS.0 1 a a_1 a_2 a_3)) (big_g (skS.0 1 a a_1 a_2 a_3)) → big_h (skS.0 1 a a_1 a_2 a_3)))
% 3.50/3.69 False
% 3.50/3.69 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.69 Eq ((big_f a → big_g (skS.0 0 a a_1 a_2)) → And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) True
% 3.50/3.69 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 ((Or (big_f a) (big_g a) → big_h a) →
% 3.50/3.69 And (big_h (skS.0 1 a_1 a a_2 a_3))
% 3.50/3.69 (big_h a_1 →
% 3.50/3.69 Or (big_f (skS.0 1 a_1 a a_2 a_3)) (big_g (skS.0 1 a_1 a a_2 a_3)) → big_h (skS.0 1 a_1 a a_2 a_3)))
% 3.50/3.69 False
% 3.50/3.69 Clause #10 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.69 Or (Eq (big_f a → big_g (skS.0 0 a a_1 a_2)) False) (Eq (And (big_g a_1) (Not (big_f (skS.0 0 a a_1 a_2)))) True)
% 3.50/3.69 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (big_g a) (Not (big_f (skS.0 0 a_1 a a_2)))) True) (Eq (big_f a_1) True)
% 3.50/3.69 Clause #14 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (big_f a) True) (Eq (big_g a_1) True)
% 3.50/3.69 Clause #22 (by clausification #[9]): ∀ (a : Iota), Eq (Or (big_f a) (big_g a) → big_h a) True
% 3.50/3.69 Clause #23 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.69 Eq
% 3.50/3.69 (And (big_h (skS.0 1 a a_1 a_2 a_3))
% 3.50/3.69 (big_h a → Or (big_f (skS.0 1 a a_1 a_2 a_3)) (big_g (skS.0 1 a a_1 a_2 a_3)) → big_h (skS.0 1 a a_1 a_2 a_3)))
% 3.50/3.69 False
% 3.50/3.69 Clause #24 (by clausification #[22]): ∀ (a : Iota), Or (Eq (Or (big_f a) (big_g a)) False) (Eq (big_h a) True)
% 3.50/3.70 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (big_h a) True) (Eq (big_g a) False)
% 3.50/3.70 Clause #26 (by clausification #[24]): ∀ (a : Iota), Or (Eq (big_h a) True) (Eq (big_f a) False)
% 3.50/3.70 Clause #27 (by superposition #[25, 14]): ∀ (a a_1 : Iota), Or (Eq (big_h a) True) (Or (Eq (big_f a_1) True) (Eq False True))
% 3.50/3.70 Clause #30 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (big_h a) True) (Eq (big_f a_1) True)
% 3.50/3.70 Clause #32 (by superposition #[30, 26]): ∀ (a a_1 : Iota), Or (Eq (big_h a) True) (Or (Eq (big_h a_1) True) (Eq True False))
% 3.50/3.70 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (big_h a) True) (Eq (big_h a_1) True)
% 3.50/3.70 Clause #34 (by equality factoring #[33]): ∀ (a : Iota), Or (Ne True True) (Eq (big_h a) True)
% 3.50/3.70 Clause #35 (by clausification #[34]): ∀ (a : Iota), Or (Eq (big_h a) True) (Or (Eq True False) (Eq True False))
% 3.50/3.70 Clause #37 (by clausification #[35]): ∀ (a : Iota), Or (Eq (big_h a) True) (Eq True False)
% 3.50/3.70 Clause #38 (by clausification #[37]): ∀ (a : Iota), Eq (big_h a) True
% 3.50/3.70 Clause #43 (by clausification #[23]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.70 Or (Eq (big_h (skS.0 1 a a_1 a_2 a_3)) False)
% 3.50/3.70 (Eq (big_h a → Or (big_f (skS.0 1 a a_1 a_2 a_3)) (big_g (skS.0 1 a a_1 a_2 a_3)) → big_h (skS.0 1 a a_1 a_2 a_3))
% 3.50/3.70 False)
% 3.50/3.70 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.50/3.70 Or (Eq (big_h (skS.0 1 a a_1 a_2 a_3)) False)
% 3.50/3.70 (Eq (Or (big_f (skS.0 1 a a_1 a_2 a_3)) (big_g (skS.0 1 a a_1 a_2 a_3)) → big_h (skS.0 1 a a_1 a_2 a_3)) False)
% 3.50/3.70 Clause #48 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (big_h (skS.0 1 a a_1 a_2 a_3)) False) (Eq (big_h (skS.0 1 a a_1 a_2 a_3)) False)
% 3.50/3.70 Clause #52 (by eliminate duplicate literals #[48]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_h (skS.0 1 a a_1 a_2 a_3)) False
% 3.50/3.70 Clause #53 (by superposition #[52, 38]): Eq False True
% 3.50/3.70 Clause #54 (by clausification #[53]): False
% 3.50/3.70 SZS output end Proof for theBenchmark.p
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