TSTP Solution File: SYO882^1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO882^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 04:23:51 EDT 2023
% Result : Unsatisfiable 3.64s 3.84s
% Output : Proof 3.64s
% 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 : SYO882^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n016.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 07:23:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.64/3.84 SZS status Theorem for theBenchmark.p
% 3.64/3.84 SZS output start Proof for theBenchmark.p
% 3.64/3.84 Clause #0 (by assumption #[]): Eq (∀ (Y : Iota → Iota), Or (Ne (h (Y b)) (h (g False))) (Ne (h (Y a)) (h (g True)))) True
% 3.64/3.84 Clause #1 (by assumption #[]): Eq (Ne a b) True
% 3.64/3.84 Clause #2 (by clausification #[1]): Ne a b
% 3.64/3.84 Clause #3 (by clausification #[0]): ∀ (a_1 : Iota → Iota), Eq (Or (Ne (h (a_1 b)) (h (g False))) (Ne (h (a_1 a)) (h (g True)))) True
% 3.64/3.84 Clause #4 (by clausification #[3]): ∀ (a_1 : Iota → Iota), Or (Eq (Ne (h (a_1 b)) (h (g False))) True) (Eq (Ne (h (a_1 a)) (h (g True))) True)
% 3.64/3.84 Clause #5 (by clausification #[4]): ∀ (a_1 : Iota → Iota), Or (Eq (Ne (h (a_1 a)) (h (g True))) True) (Ne (h (a_1 b)) (h (g False)))
% 3.64/3.84 Clause #6 (by clausification #[5]): ∀ (a_1 : Iota → Iota), Or (Ne (h (a_1 b)) (h (g False))) (Ne (h (a_1 a)) (h (g True)))
% 3.64/3.84 Clause #10 (by fluidBoolHoist #[6]): ∀ (a_1 : (x : Iota) → (_ : Prop) → (fun x _ => Iota) x _) (a_2 : Iota → Prop),
% 3.64/3.84 Or (Ne (h ((fun x => a_1 x (a_2 x)) a)) (h (g True))) (Or (Ne (h (a_1 b False)) (h (g False))) (Eq (a_2 b) True))
% 3.64/3.84 Clause #11 (by betaEtaReduce #[10]): ∀ (a_1 : (x : Iota) → (_ : Prop) → (fun x _ => Iota) x _) (a_2 : Iota → Prop),
% 3.64/3.84 Or (Ne (h (a_1 a (a_2 a))) (h (g True))) (Or (Ne (h (a_1 b False)) (h (g False))) (Eq (a_2 b) True))
% 3.64/3.84 Clause #12 (by identity loobHoist #[11]): ∀ (a_1 : (x : Iota) → (_ : Prop) → (fun x _ => Iota) x _) (a_2 : Iota → Prop),
% 3.64/3.84 Or (Ne (h (a_1 b False)) (h (g False)))
% 3.64/3.84 (Or (Eq (a_2 b) True) (Or (Ne (h (a_1 a True)) (h (g True))) (Eq (a_2 a) False)))
% 3.64/3.84 Clause #15 (by equality resolution #[12]): ∀ (a_1 : Iota → Prop), Or (Eq (a_1 b) True) (Or (Ne (h ((fun x _ => g _) a True)) (h (g True))) (Eq (a_1 a) False))
% 3.64/3.84 Clause #17 (by betaEtaReduce #[15]): ∀ (a_1 : Iota → Prop), Or (Eq (a_1 b) True) (Or (Ne (h (g True)) (h (g True))) (Eq (a_1 a) False))
% 3.64/3.84 Clause #18 (by eliminate resolved literals #[17]): ∀ (a_1 : Iota → Prop), Or (Eq (a_1 b) True) (Eq (a_1 a) False)
% 3.64/3.84 Clause #20 (by neHoist #[18]): ∀ (a_1 : Iota → Sort _abstMVar.0) (a_2 a_3 : (x : Iota) → a_1 x),
% 3.64/3.84 Or (Eq ((fun x => Ne (a_2 x) (a_3 x)) b) True) (Or (Eq True False) (Eq (a_2 a) (a_3 a)))
% 3.64/3.84 Clause #54 (by betaEtaReduce #[20]): ∀ (a_1 : Iota → Sort _abstMVar.0) (a_2 a_3 : (x : Iota) → a_1 x),
% 3.64/3.84 Or (Eq (Ne (a_2 b) (a_3 b)) True) (Or (Eq True False) (Eq (a_2 a) (a_3 a)))
% 3.64/3.84 Clause #55 (by clausification #[54]): ∀ (a_1 : Iota → Sort _abstMVar.0) (a_2 a_3 : (x : Iota) → a_1 x),
% 3.64/3.84 Or (Eq True False) (Or (Eq (a_2 a) (a_3 a)) (Ne (a_2 b) (a_3 b)))
% 3.64/3.84 Clause #56 (by clausification #[55]): ∀ (a_1 : Iota → Sort _abstMVar.0) (a_2 a_3 : (x : Iota) → a_1 x), Or (Eq (a_2 a) (a_3 a)) (Ne (a_2 b) (a_3 b))
% 3.64/3.84 Clause #57 (by equality resolution #[56]): Eq ((fun x => x) a) ((fun x => b) a)
% 3.64/3.84 Clause #64 (by betaEtaReduce #[57]): Eq a b
% 3.64/3.84 Clause #65 (by forward contextual literal cutting #[64, 2]): False
% 3.64/3.84 SZS output end Proof for theBenchmark.p
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