TSTP Solution File: SYN065+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 02:10:25 EDT 2023
% Result : Theorem 3.75s 3.95s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : duper %s
% 0.16/0.34 % Computer : n018.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 22:03:30 EDT 2023
% 0.16/0.34 % CPUTime :
% 3.75/3.95 SZS status Theorem for theBenchmark.p
% 3.75/3.95 SZS output start Proof for theBenchmark.p
% 3.75/3.95 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Exists fun Y => big_f X Y) True
% 3.75/3.95 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Exists fun Y => big_g X Y) True
% 3.75/3.95 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), Or (big_f X Y) (big_g X Y) → ∀ (Z : Iota), Or (big_f Y Z) (big_g Y Z) → big_h X Z) True
% 3.75/3.95 Clause #3 (by assumption #[]): Eq (Not (∀ (X : Iota), Exists fun Y => big_h X Y)) True
% 3.75/3.95 Clause #4 (by betaEtaReduce #[1]): Eq (∀ (X : Iota), Exists (big_g X)) True
% 3.75/3.95 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Exists (big_g a)) True
% 3.75/3.95 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (big_g a (skS.0 0 a a_1)) True
% 3.75/3.95 Clause #7 (by betaEtaReduce #[0]): Eq (∀ (X : Iota), Exists (big_f X)) True
% 3.75/3.95 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Exists (big_f a)) True
% 3.75/3.95 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (big_f a (skS.0 1 a a_1)) True
% 3.75/3.95 Clause #10 (by betaEtaReduce #[3]): Eq (Not (∀ (X : Iota), Exists (big_h X))) True
% 3.75/3.95 Clause #11 (by clausification #[10]): Eq (∀ (X : Iota), Exists (big_h X)) False
% 3.75/3.95 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (Not (Exists (big_h (skS.0 2 a)))) True
% 3.75/3.95 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Exists (big_h (skS.0 2 a))) False
% 3.75/3.95 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (big_h (skS.0 2 a) a_1) False
% 3.75/3.95 Clause #15 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (big_f a Y) (big_g a Y) → ∀ (Z : Iota), Or (big_f Y Z) (big_g Y Z) → big_h a Z) True
% 3.75/3.95 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Or (big_f a a_1) (big_g a a_1) → ∀ (Z : Iota), Or (big_f a_1 Z) (big_g a_1 Z) → big_h a Z) True
% 3.75/3.95 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.75/3.95 Or (Eq (Or (big_f a a_1) (big_g a a_1)) False) (Eq (∀ (Z : Iota), Or (big_f a_1 Z) (big_g a_1 Z) → big_h a Z) True)
% 3.75/3.95 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (∀ (Z : Iota), Or (big_f a Z) (big_g a Z) → big_h a_1 Z) True) (Eq (big_g a_1 a) False)
% 3.75/3.95 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_g a a_1) False) (Eq (Or (big_f a_1 a_2) (big_g a_1 a_2) → big_h a a_2) True)
% 3.75/3.95 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 3.75/3.95 Or (Eq (big_g a a_1) False) (Or (Eq (Or (big_f a_1 a_2) (big_g a_1 a_2)) False) (Eq (big_h a a_2) True))
% 3.75/3.95 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_g a a_1) False) (Or (Eq (big_h a a_2) True) (Eq (big_f a_1 a_2) False))
% 3.75/3.95 Clause #30 (by superposition #[23, 6]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_h a a_1) True) (Or (Eq (big_f (skS.0 0 a a_2) a_1) False) (Eq False True))
% 3.75/3.95 Clause #32 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_h a a_1) True) (Eq (big_f (skS.0 0 a a_2) a_1) False)
% 3.75/3.95 Clause #33 (by superposition #[32, 9]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_h a (skS.0 1 (skS.0 0 a a_1) a_2)) True) (Eq False True)
% 3.75/3.95 Clause #40 (by clausification #[33]): ∀ (a a_1 a_2 : Iota), Eq (big_h a (skS.0 1 (skS.0 0 a a_1) a_2)) True
% 3.75/3.95 Clause #41 (by superposition #[40, 14]): Eq True False
% 3.75/3.95 Clause #42 (by clausification #[41]): False
% 3.75/3.95 SZS output end Proof for theBenchmark.p
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