TSTP Solution File: SYO308^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO308^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 04:22:08 EDT 2023
% Result : Theorem 3.43s 3.65s
% Output : Proof 3.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO308^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 05:40:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.43/3.65 SZS status Theorem for theBenchmark.p
% 3.43/3.65 SZS output start Proof for theBenchmark.p
% 3.43/3.65 Clause #0 (by assumption #[]): Eq
% 3.43/3.65 (Not
% 3.43/3.65 (∀ (Z1 : Iota → Prop),
% 3.43/3.65 Or (∀ (Z3 : Iota), Z1 Z3 → cA Z3) (∀ (Z4 : Iota), Z1 Z4 → cB Z4) → ∀ (Z5 : Iota), Z1 Z5 → Or (cA Z5) (cB Z5)))
% 3.43/3.65 True
% 3.43/3.65 Clause #1 (by clausification #[0]): Eq
% 3.43/3.65 (∀ (Z1 : Iota → Prop),
% 3.43/3.65 Or (∀ (Z3 : Iota), Z1 Z3 → cA Z3) (∀ (Z4 : Iota), Z1 Z4 → cB Z4) → ∀ (Z5 : Iota), Z1 Z5 → Or (cA Z5) (cB Z5))
% 3.43/3.65 False
% 3.43/3.65 Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop),
% 3.43/3.65 Eq
% 3.43/3.65 (Not
% 3.43/3.65 (Or (∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) (∀ (Z4 : Iota), skS.0 0 a Z4 → cB Z4) →
% 3.43/3.65 ∀ (Z5 : Iota), skS.0 0 a Z5 → Or (cA Z5) (cB Z5)))
% 3.43/3.65 True
% 3.43/3.65 Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop),
% 3.43/3.65 Eq
% 3.43/3.65 (Or (∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) (∀ (Z4 : Iota), skS.0 0 a Z4 → cB Z4) →
% 3.43/3.65 ∀ (Z5 : Iota), skS.0 0 a Z5 → Or (cA Z5) (cB Z5))
% 3.43/3.65 False
% 3.43/3.65 Clause #4 (by clausification #[3]): ∀ (a : Iota → Prop), Eq (Or (∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) (∀ (Z4 : Iota), skS.0 0 a Z4 → cB Z4)) True
% 3.43/3.65 Clause #5 (by clausification #[3]): ∀ (a : Iota → Prop), Eq (∀ (Z5 : Iota), skS.0 0 a Z5 → Or (cA Z5) (cB Z5)) False
% 3.43/3.65 Clause #6 (by clausification #[4]): ∀ (a : Iota → Prop), Or (Eq (∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) True) (Eq (∀ (Z4 : Iota), skS.0 0 a Z4 → cB Z4) True)
% 3.43/3.65 Clause #7 (by clausification #[6]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (∀ (Z4 : Iota), skS.0 0 a Z4 → cB Z4) True) (Eq (skS.0 0 a a_1 → cA a_1) True)
% 3.43/3.65 Clause #8 (by clausification #[7]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota), Or (Eq (skS.0 0 a a_1 → cA a_1) True) (Eq (skS.0 0 a a_2 → cB a_2) True)
% 3.43/3.65 Clause #9 (by clausification #[8]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq (skS.0 0 a a_1 → cB a_1) True) (Or (Eq (skS.0 0 a a_2) False) (Eq (cA a_2) True))
% 3.43/3.65 Clause #10 (by clausification #[9]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq (skS.0 0 a a_1) False) (Or (Eq (cA a_1) True) (Or (Eq (skS.0 0 a a_2) False) (Eq (cB a_2) True)))
% 3.43/3.65 Clause #11 (by clausification #[5]): ∀ (a : Iota → Prop) (a_1 : Iota),
% 3.43/3.65 Eq (Not (skS.0 0 a (skS.0 1 a a_1) → Or (cA (skS.0 1 a a_1)) (cB (skS.0 1 a a_1)))) True
% 3.43/3.65 Clause #12 (by clausification #[11]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1) → Or (cA (skS.0 1 a a_1)) (cB (skS.0 1 a a_1))) False
% 3.43/3.65 Clause #13 (by clausification #[12]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1)) True
% 3.43/3.65 Clause #14 (by clausification #[12]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (Or (cA (skS.0 1 a a_1)) (cB (skS.0 1 a a_1))) False
% 3.43/3.65 Clause #15 (by superposition #[13, 10]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq True False) (Or (Eq (cA (skS.0 1 a a_1)) True) (Or (Eq (skS.0 0 a a_2) False) (Eq (cB a_2) True)))
% 3.43/3.65 Clause #16 (by clausification #[14]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cB (skS.0 1 a a_1)) False
% 3.43/3.65 Clause #17 (by clausification #[14]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cA (skS.0 1 a a_1)) False
% 3.43/3.65 Clause #18 (by clausification #[15]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq (cA (skS.0 1 a a_1)) True) (Or (Eq (skS.0 0 a a_2) False) (Eq (cB a_2) True))
% 3.43/3.65 Clause #19 (by superposition #[18, 13]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq (cA (skS.0 1 (fun x => a x) a_1)) True) (Or (Eq (cB (skS.0 1 a a_2)) True) (Eq False True))
% 3.43/3.65 Clause #20 (by betaEtaReduce #[19]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 3.43/3.65 Or (Eq (cA (skS.0 1 a a_1)) True) (Or (Eq (cB (skS.0 1 a a_2)) True) (Eq False True))
% 3.43/3.65 Clause #21 (by clausification #[20]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a a_1)) True) (Eq (cB (skS.0 1 a a_2)) True)
% 3.43/3.65 Clause #23 (by superposition #[21, 16]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (cA (skS.0 1 (fun x => a x) a_1)) True) (Eq True False)
% 3.43/3.65 Clause #24 (by betaEtaReduce #[23]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (cA (skS.0 1 a a_1)) True) (Eq True False)
% 3.43/3.65 Clause #25 (by clausification #[24]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cA (skS.0 1 a a_1)) True
% 3.43/3.65 Clause #26 (by superposition #[25, 17]): Eq True False
% 3.43/3.65 Clause #27 (by clausification #[26]): False
% 3.43/3.65 SZS output end Proof for theBenchmark.p
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