TSTP Solution File: SYN343+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 02:11:18 EDT 2023
% Result : Theorem 3.71s 3.90s
% Output : Proof 3.71s
% 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 : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:53:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.71/3.90 SZS status Theorem for theBenchmark.p
% 3.71/3.90 SZS output start Proof for theBenchmark.p
% 3.71/3.90 Clause #0 (by assumption #[]): Eq
% 3.71/3.90 (Not
% 3.71/3.90 (Exists fun X =>
% 3.71/3.90 Exists fun Y1 =>
% 3.71/3.90 Exists fun Y2 => ∀ (Z : Iota), ((big_f X Y1 → big_f Z X) → big_f X X) → And (big_f X X) (big_f Y1 Y2)))
% 3.71/3.90 True
% 3.71/3.90 Clause #1 (by clausification #[0]): Eq
% 3.71/3.90 (Exists fun X =>
% 3.71/3.90 Exists fun Y1 =>
% 3.71/3.90 Exists fun Y2 => ∀ (Z : Iota), ((big_f X Y1 → big_f Z X) → big_f X X) → And (big_f X X) (big_f Y1 Y2))
% 3.71/3.90 False
% 3.71/3.90 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.71/3.90 Eq
% 3.71/3.90 (Exists fun Y1 =>
% 3.71/3.90 Exists fun Y2 => ∀ (Z : Iota), ((big_f a Y1 → big_f Z a) → big_f a a) → And (big_f a a) (big_f Y1 Y2))
% 3.71/3.90 False
% 3.71/3.90 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.71/3.90 Eq (Exists fun Y2 => ∀ (Z : Iota), ((big_f a a_1 → big_f Z a) → big_f a a) → And (big_f a a) (big_f a_1 Y2)) False
% 3.71/3.90 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Z : Iota), ((big_f a a_1 → big_f Z a) → big_f a a) → And (big_f a a) (big_f a_1 a_2)) False
% 3.71/3.90 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.71/3.90 Eq (Not (((big_f a a_1 → big_f (skS.0 0 a a_1 a_2 a_3) a) → big_f a a) → And (big_f a a) (big_f a_1 a_2))) True
% 3.71/3.90 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.71/3.90 Eq (((big_f a a_1 → big_f (skS.0 0 a a_1 a_2 a_3) a) → big_f a a) → And (big_f a a) (big_f a_1 a_2)) False
% 3.71/3.90 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq ((big_f a a_1 → big_f (skS.0 0 a a_1 a_2 a_3) a) → big_f a a) True
% 3.71/3.90 Clause #8 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Eq (And (big_f a a) (big_f a_1 a_2)) False
% 3.71/3.90 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (big_f a a_1 → big_f (skS.0 0 a a_1 a_2 a_3) a) False) (Eq (big_f a a) True)
% 3.71/3.90 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_f a a) True) (Eq (big_f a a_1) True)
% 3.71/3.90 Clause #12 (by equality factoring #[10]): ∀ (a : Iota), Or (Ne True True) (Eq (big_f a a) True)
% 3.71/3.90 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Or (Eq True False) (Eq True False))
% 3.71/3.90 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Eq True False)
% 3.71/3.90 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (big_f a a) True
% 3.71/3.90 Clause #17 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a) False) (Eq (big_f a_1 a_2) False)
% 3.71/3.90 Clause #18 (by superposition #[17, 16]): ∀ (a a_1 : Iota), Or (Eq (big_f a a_1) False) (Eq False True)
% 3.71/3.90 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (big_f a a_1) False
% 3.71/3.90 Clause #20 (by superposition #[19, 16]): Eq False True
% 3.71/3.90 Clause #21 (by clausification #[20]): False
% 3.71/3.90 SZS output end Proof for theBenchmark.p
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