TSTP Solution File: SYN411+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN411+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n025.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 02:11:41 EDT 2023
% Result : Theorem 3.57s 3.75s
% Output : Proof 3.57s
% 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 : SYN411+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n025.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 19:35:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.57/3.75 SZS status Theorem for theBenchmark.p
% 3.57/3.75 SZS output start Proof for theBenchmark.p
% 3.57/3.75 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (X Y Z : Iota), f X Y Z) (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W))))) True
% 3.57/3.75 Clause #1 (by clausification #[0]): Eq (Iff (∀ (X Y Z : Iota), f X Y Z) (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W)))) False
% 3.57/3.75 Clause #2 (by clausification #[1]): Or (Eq (∀ (X Y Z : Iota), f X Y Z) False)
% 3.57/3.75 (Eq (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W))) False)
% 3.57/3.75 Clause #3 (by clausification #[1]): Or (Eq (∀ (X Y Z : Iota), f X Y Z) True) (Eq (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W))) True)
% 3.57/3.75 Clause #4 (by clausification #[2]): ∀ (a : Iota),
% 3.57/3.75 Or (Eq (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W))) False)
% 3.57/3.75 (Eq (Not (∀ (Y Z : Iota), f (skS.0 0 a) Y Z)) True)
% 3.57/3.75 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.57/3.75 Or (Eq (Not (∀ (Y Z : Iota), f (skS.0 0 a) Y Z)) True)
% 3.57/3.75 (Eq (Exists fun U => Exists fun V => Exists fun W => Not (f U V W)) True)
% 3.57/3.75 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 3.57/3.75 Or (Eq (Exists fun U => Exists fun V => Exists fun W => Not (f U V W)) True)
% 3.57/3.75 (Eq (∀ (Y Z : Iota), f (skS.0 0 a) Y Z) False)
% 3.57/3.75 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.57/3.75 Or (Eq (∀ (Y Z : Iota), f (skS.0 0 a) Y Z) False)
% 3.57/3.75 (Eq (Exists fun V => Exists fun W => Not (f (skS.0 1 a_1) V W)) True)
% 3.57/3.75 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.75 Or (Eq (Exists fun V => Exists fun W => Not (f (skS.0 1 a) V W)) True)
% 3.57/3.75 (Eq (Not (∀ (Z : Iota), f (skS.0 0 a_1) (skS.0 2 a_1 a_2) Z)) True)
% 3.57/3.75 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.57/3.75 Or (Eq (Not (∀ (Z : Iota), f (skS.0 0 a) (skS.0 2 a a_1) Z)) True)
% 3.57/3.75 (Eq (Exists fun W => Not (f (skS.0 1 a_2) (skS.0 3 a_2 a_3) W)) True)
% 3.57/3.75 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.57/3.75 Or (Eq (Exists fun W => Not (f (skS.0 1 a) (skS.0 3 a a_1) W)) True)
% 3.57/3.75 (Eq (∀ (Z : Iota), f (skS.0 0 a_2) (skS.0 2 a_2 a_3) Z) False)
% 3.57/3.75 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.57/3.75 Or (Eq (∀ (Z : Iota), f (skS.0 0 a) (skS.0 2 a a_1) Z) False)
% 3.57/3.75 (Eq (Not (f (skS.0 1 a_2) (skS.0 3 a_2 a_3) (skS.0 4 a_2 a_3 a_4))) True)
% 3.57/3.75 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.57/3.75 Or (Eq (Not (f (skS.0 1 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) True)
% 3.57/3.75 (Eq (Not (f (skS.0 0 a_3) (skS.0 2 a_3 a_4) (skS.0 5 a_3 a_4 a_5))) True)
% 3.57/3.75 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.57/3.75 Or (Eq (Not (f (skS.0 0 a) (skS.0 2 a a_1) (skS.0 5 a a_1 a_2))) True)
% 3.57/3.75 (Eq (f (skS.0 1 a_3) (skS.0 3 a_3 a_4) (skS.0 4 a_3 a_4 a_5)) False)
% 3.57/3.75 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.57/3.75 Or (Eq (f (skS.0 1 a) (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) False)
% 3.57/3.75 (Eq (f (skS.0 0 a_3) (skS.0 2 a_3 a_4) (skS.0 5 a_3 a_4 a_5)) False)
% 3.57/3.75 Clause #15 (by clausification #[3]): ∀ (a : Iota),
% 3.57/3.75 Or (Eq (Not (Exists fun U => Exists fun V => Exists fun W => Not (f U V W))) True) (Eq (∀ (Y Z : Iota), f a Y Z) True)
% 3.57/3.75 Clause #16 (by clausification #[15]): ∀ (a : Iota),
% 3.57/3.75 Or (Eq (∀ (Y Z : Iota), f a Y Z) True) (Eq (Exists fun U => Exists fun V => Exists fun W => Not (f U V W)) False)
% 3.57/3.75 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.57/3.75 Or (Eq (Exists fun U => Exists fun V => Exists fun W => Not (f U V W)) False) (Eq (∀ (Z : Iota), f a a_1 Z) True)
% 3.57/3.75 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.57/3.75 Or (Eq (∀ (Z : Iota), f a a_1 Z) True) (Eq (Exists fun V => Exists fun W => Not (f a_2 V W)) False)
% 3.57/3.75 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (Exists fun V => Exists fun W => Not (f a V W)) False) (Eq (f a_1 a_2 a_3) True)
% 3.57/3.75 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (f a a_1 a_2) True) (Eq (Exists fun W => Not (f a_3 a_4 W)) False)
% 3.57/3.75 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (f a a_1 a_2) True) (Eq (Not (f a_3 a_4 a_5)) False)
% 3.57/3.75 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Or (Eq (f a a_1 a_2) True) (Eq (f a_3 a_4 a_5) True)
% 3.57/3.76 Clause #24 (by equality factoring #[22]): ∀ (a a_1 a_2 : Iota), Or (Ne True True) (Eq (f a a_1 a_2) True)
% 3.57/3.76 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (f a a_1 a_2) True) (Or (Eq True False) (Eq True False))
% 3.57/3.76 Clause #27 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Or (Eq (f a a_1 a_2) True) (Eq True False)
% 3.57/3.76 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Eq (f a a_1 a_2) True
% 3.57/3.76 Clause #29 (by superposition #[28, 14]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (f (skS.0 0 a) (skS.0 2 a a_1) (skS.0 5 a a_1 a_2)) False)
% 3.57/3.76 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Eq (f (skS.0 0 a) (skS.0 2 a a_1) (skS.0 5 a a_1 a_2)) False
% 3.57/3.76 Clause #31 (by superposition #[30, 28]): Eq False True
% 3.57/3.76 Clause #33 (by clausification #[31]): False
% 3.57/3.76 SZS output end Proof for theBenchmark.p
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