TSTP Solution File: SYN327+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 3.40s 3.59s
% Output : Proof 3.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : duper %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 20:47:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 3.40/3.59 SZS status Theorem for theBenchmark.p
% 3.40/3.59 SZS output start Proof for theBenchmark.p
% 3.40/3.59 Clause #0 (by assumption #[]): Eq
% 3.40/3.59 (Not
% 3.40/3.59 (∀ (X : Iota),
% 3.40/3.59 Exists fun Y =>
% 3.40/3.59 ∀ (Z : Iota),
% 3.40/3.59 big_f Y X → And (big_f X Z → big_f X Y) (big_f X Y → Not (big_f X Z) → And (big_f Y X) (big_f Z Y))))
% 3.40/3.59 True
% 3.40/3.59 Clause #1 (by clausification #[0]): Eq
% 3.40/3.59 (∀ (X : Iota),
% 3.40/3.59 Exists fun Y =>
% 3.40/3.59 ∀ (Z : Iota), big_f Y X → And (big_f X Z → big_f X Y) (big_f X Y → Not (big_f X Z) → And (big_f Y X) (big_f Z Y)))
% 3.40/3.59 False
% 3.40/3.59 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (Not
% 3.40/3.59 (Exists fun Y =>
% 3.40/3.59 ∀ (Z : Iota),
% 3.40/3.59 big_f Y (skS.0 0 a) →
% 3.40/3.59 And (big_f (skS.0 0 a) Z → big_f (skS.0 0 a) Y)
% 3.40/3.59 (big_f (skS.0 0 a) Y → Not (big_f (skS.0 0 a) Z) → And (big_f Y (skS.0 0 a)) (big_f Z Y))))
% 3.40/3.59 True
% 3.40/3.59 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (Exists fun Y =>
% 3.40/3.59 ∀ (Z : Iota),
% 3.40/3.59 big_f Y (skS.0 0 a) →
% 3.40/3.59 And (big_f (skS.0 0 a) Z → big_f (skS.0 0 a) Y)
% 3.40/3.59 (big_f (skS.0 0 a) Y → Not (big_f (skS.0 0 a) Z) → And (big_f Y (skS.0 0 a)) (big_f Z Y)))
% 3.40/3.59 False
% 3.40/3.59 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (∀ (Z : Iota),
% 3.40/3.59 big_f a (skS.0 0 a_1) →
% 3.40/3.59 And (big_f (skS.0 0 a_1) Z → big_f (skS.0 0 a_1) a)
% 3.40/3.59 (big_f (skS.0 0 a_1) a → Not (big_f (skS.0 0 a_1) Z) → And (big_f a (skS.0 0 a_1)) (big_f Z a)))
% 3.40/3.59 False
% 3.40/3.59 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (Not
% 3.40/3.59 (big_f a (skS.0 0 a_1) →
% 3.40/3.59 And (big_f (skS.0 0 a_1) (skS.0 1 a a_1 a_2) → big_f (skS.0 0 a_1) a)
% 3.40/3.59 (big_f (skS.0 0 a_1) a →
% 3.40/3.59 Not (big_f (skS.0 0 a_1) (skS.0 1 a a_1 a_2)) → And (big_f a (skS.0 0 a_1)) (big_f (skS.0 1 a a_1 a_2) a))))
% 3.40/3.59 True
% 3.40/3.59 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (big_f a (skS.0 0 a_1) →
% 3.40/3.59 And (big_f (skS.0 0 a_1) (skS.0 1 a a_1 a_2) → big_f (skS.0 0 a_1) a)
% 3.40/3.59 (big_f (skS.0 0 a_1) a →
% 3.40/3.59 Not (big_f (skS.0 0 a_1) (skS.0 1 a a_1 a_2)) → And (big_f a (skS.0 0 a_1)) (big_f (skS.0 1 a a_1 a_2) a)))
% 3.40/3.59 False
% 3.40/3.59 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (big_f a (skS.0 0 a_1)) True
% 3.40/3.59 Clause #8 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Eq
% 3.40/3.59 (And (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2) → big_f (skS.0 0 a) a_1)
% 3.40/3.59 (big_f (skS.0 0 a) a_1 →
% 3.40/3.59 Not (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2)) → And (big_f a_1 (skS.0 0 a)) (big_f (skS.0 1 a_1 a a_2) a_1)))
% 3.40/3.59 False
% 3.40/3.59 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or (Eq (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2) → big_f (skS.0 0 a) a_1) False)
% 3.40/3.59 (Eq
% 3.40/3.59 (big_f (skS.0 0 a) a_1 →
% 3.40/3.59 Not (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2)) → And (big_f a_1 (skS.0 0 a)) (big_f (skS.0 1 a_1 a a_2) a_1))
% 3.40/3.59 False)
% 3.40/3.59 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or
% 3.40/3.59 (Eq
% 3.40/3.59 (big_f (skS.0 0 a) a_1 →
% 3.40/3.59 Not (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2)) → And (big_f a_1 (skS.0 0 a)) (big_f (skS.0 1 a_1 a a_2) a_1))
% 3.40/3.59 False)
% 3.40/3.59 (Eq (big_f (skS.0 0 a) a_1) False)
% 3.40/3.59 Clause #15 (by clausification #[11]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or (Eq (big_f (skS.0 0 a) a_1) False)
% 3.40/3.59 (Eq (Not (big_f (skS.0 0 a) (skS.0 1 a_1 a a_2)) → And (big_f a_1 (skS.0 0 a)) (big_f (skS.0 1 a_1 a a_2) a_1))
% 3.40/3.59 False)
% 3.40/3.59 Clause #17 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or (Eq (big_f (skS.0 0 a) a_1) False) (Eq (And (big_f a_1 (skS.0 0 a)) (big_f (skS.0 1 a_1 a a_2) a_1)) False)
% 3.40/3.59 Clause #27 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or (Eq (big_f (skS.0 0 a) a_1) False)
% 3.40/3.59 (Or (Eq (big_f a_1 (skS.0 0 a)) False) (Eq (big_f (skS.0 1 a_1 a a_2) a_1) False))
% 3.40/3.59 Clause #28 (by forward demodulation #[27, 7]): ∀ (a a_1 a_2 : Iota),
% 3.40/3.59 Or (Eq (big_f (skS.0 0 a) a_1) False) (Or (Eq True False) (Eq (big_f (skS.0 1 a_1 a a_2) a_1) False))
% 3.40/3.59 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 0 a) a_1) False) (Eq (big_f (skS.0 1 a_1 a a_2) a_1) False)
% 3.40/3.59 Clause #31 (by superposition #[29, 7]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 1 (skS.0 0 a) a_1 a_2) (skS.0 0 a)) False) (Eq False True)
% 3.40/3.59 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 1 (skS.0 0 a) a_1 a_2) (skS.0 0 a)) False
% 3.40/3.59 Clause #33 (by superposition #[32, 7]): Eq False True
% 3.40/3.59 Clause #34 (by clausification #[33]): False
% 3.40/3.59 SZS output end Proof for theBenchmark.p
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