TSTP Solution File: SYO267^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO267^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 04:22:00 EDT 2023
% Result : Theorem 3.53s 3.69s
% Output : Proof 3.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO267^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n031.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 07:55:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.53/3.69 SZS status Theorem for theBenchmark.p
% 3.53/3.69 SZS output start Proof for theBenchmark.p
% 3.53/3.69 Clause #0 (by assumption #[]): Eq
% 3.53/3.69 (Not
% 3.53/3.69 (∀ (P : Iota → Prop),
% 3.53/3.69 Exists fun M => ∀ (G H : Iota → Iota), And (M G) (M H) → And (M fun Z => G (H Z)) (∀ (Y : Iota), P Y → P (G Y))))
% 3.53/3.69 True
% 3.53/3.69 Clause #1 (by clausification #[0]): Eq
% 3.53/3.69 (∀ (P : Iota → Prop),
% 3.53/3.69 Exists fun M => ∀ (G H : Iota → Iota), And (M G) (M H) → And (M fun Z => G (H Z)) (∀ (Y : Iota), P Y → P (G Y)))
% 3.53/3.69 False
% 3.53/3.69 Clause #2 (by clausification #[1]): ∀ (a : Iota → Prop),
% 3.53/3.69 Eq
% 3.53/3.69 (Not
% 3.53/3.69 (Exists fun M =>
% 3.53/3.69 ∀ (G H : Iota → Iota),
% 3.53/3.69 And (M G) (M H) → And (M fun Z => G (H Z)) (∀ (Y : Iota), skS.0 0 a Y → skS.0 0 a (G Y))))
% 3.53/3.69 True
% 3.53/3.69 Clause #3 (by clausification #[2]): ∀ (a : Iota → Prop),
% 3.53/3.69 Eq
% 3.53/3.69 (Exists fun M =>
% 3.53/3.69 ∀ (G H : Iota → Iota), And (M G) (M H) → And (M fun Z => G (H Z)) (∀ (Y : Iota), skS.0 0 a Y → skS.0 0 a (G Y)))
% 3.53/3.69 False
% 3.53/3.69 Clause #4 (by clausification #[3]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop),
% 3.53/3.69 Eq
% 3.53/3.69 (∀ (G H : Iota → Iota),
% 3.53/3.69 And (a G) (a H) → And (a fun Z => G (H Z)) (∀ (Y : Iota), skS.0 0 a_1 Y → skS.0 0 a_1 (G Y)))
% 3.53/3.69 False
% 3.53/3.69 Clause #5 (by clausification #[4]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 : Iota → Iota),
% 3.53/3.69 Eq
% 3.53/3.69 (Not
% 3.53/3.69 (∀ (H : Iota → Iota),
% 3.53/3.69 And (a (skS.0 1 a a_1 a_2)) (a H) →
% 3.53/3.69 And (a fun Z => skS.0 1 a a_1 a_2 (H Z)) (∀ (Y : Iota), skS.0 0 a_1 Y → skS.0 0 a_1 (skS.0 1 a a_1 a_2 Y))))
% 3.53/3.69 True
% 3.53/3.69 Clause #6 (by clausification #[5]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 : Iota → Iota),
% 3.53/3.69 Eq
% 3.53/3.69 (∀ (H : Iota → Iota),
% 3.53/3.69 And (a (skS.0 1 a a_1 a_2)) (a H) →
% 3.53/3.69 And (a fun Z => skS.0 1 a a_1 a_2 (H Z)) (∀ (Y : Iota), skS.0 0 a_1 Y → skS.0 0 a_1 (skS.0 1 a a_1 a_2 Y)))
% 3.53/3.69 False
% 3.53/3.69 Clause #7 (by clausification #[6]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 a_3 : Iota → Iota),
% 3.53/3.69 Eq
% 3.53/3.69 (Not
% 3.53/3.69 (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3)) →
% 3.53/3.69 And (a fun Z => skS.0 1 a a_1 a_2 (skS.0 2 a a_1 a_2 a_3 Z))
% 3.53/3.69 (∀ (Y : Iota), skS.0 0 a_1 Y → skS.0 0 a_1 (skS.0 1 a a_1 a_2 Y))))
% 3.53/3.69 True
% 3.53/3.69 Clause #8 (by clausification #[7]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 a_3 : Iota → Iota),
% 3.53/3.69 Eq
% 3.53/3.69 (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3)) →
% 3.53/3.69 And (a fun Z => skS.0 1 a a_1 a_2 (skS.0 2 a a_1 a_2 a_3 Z))
% 3.53/3.69 (∀ (Y : Iota), skS.0 0 a_1 Y → skS.0 0 a_1 (skS.0 1 a a_1 a_2 Y)))
% 3.53/3.69 False
% 3.53/3.69 Clause #9 (by clausification #[8]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 a_3 : Iota → Iota),
% 3.53/3.69 Eq (And (a (skS.0 1 a a_1 a_2)) (a (skS.0 2 a a_1 a_2 a_3))) True
% 3.53/3.69 Clause #11 (by clausification #[9]): ∀ (a : (Iota → Iota) → Prop) (a_1 : Iota → Prop) (a_2 a_3 : Iota → Iota), Eq (a (skS.0 2 a a_1 a_2 a_3)) True
% 3.53/3.69 Clause #16 (by fluidSup #[11, 11]): ∀ (a : Prop), Eq ((fun _ => a) True) True
% 3.53/3.69 Clause #25 (by betaEtaReduce #[16]): ∀ (a : Prop), Eq a True
% 3.53/3.69 Clause #26 (by falseElim #[25]): False
% 3.53/3.69 SZS output end Proof for theBenchmark.p
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