TSTP Solution File: SEU799^2 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n017.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 : Thu Aug 31 16:43:57 EDT 2023

% Result   : Theorem 3.93s 4.20s
% Output   : Proof 3.93s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n017.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   : Wed Aug 23 19:06:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 3.93/4.20  SZS status Theorem for theBenchmark.p
% 3.93/4.20  SZS output start Proof for theBenchmark.p
% 3.93/4.20  Clause #0 (by assumption #[]): Eq (Eq dsetconstrEL (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A fun Xy => Xphi Xy) → in Xx A))
% 3.93/4.20    True
% 3.93/4.20  Clause #1 (by assumption #[]): Eq (Eq injFuncSet fun A B => dsetconstr (funcSet A B) fun Xf => injective A B Xf) True
% 3.93/4.20  Clause #2 (by assumption #[]): Eq (Not (dsetconstrEL → ∀ (A B Xf : Iota), in Xf (injFuncSet A B) → in Xf (funcSet A B))) True
% 3.93/4.20  Clause #3 (by betaEtaReduce #[0]): Eq (Eq dsetconstrEL (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)) True
% 3.93/4.20  Clause #4 (by clausification #[3]): Eq dsetconstrEL (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)
% 3.93/4.20  Clause #20 (by clausification #[2]): Eq (dsetconstrEL → ∀ (A B Xf : Iota), in Xf (injFuncSet A B) → in Xf (funcSet A B)) False
% 3.93/4.20  Clause #21 (by clausification #[20]): Eq dsetconstrEL True
% 3.93/4.20  Clause #22 (by clausification #[20]): Eq (∀ (A B Xf : Iota), in Xf (injFuncSet A B) → in Xf (funcSet A B)) False
% 3.93/4.20  Clause #23 (by backward demodulation #[21, 4]): Eq True (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)
% 3.93/4.20  Clause #26 (by betaEtaReduce #[1]): Eq (Eq injFuncSet fun A B => dsetconstr (funcSet A B) (injective A B)) True
% 3.93/4.20  Clause #27 (by clausification #[26]): Eq injFuncSet fun A B => dsetconstr (funcSet A B) (injective A B)
% 3.93/4.20  Clause #28 (by argument congruence #[27]): ∀ (a : Iota), Eq (injFuncSet a) ((fun A B => dsetconstr (funcSet A B) (injective A B)) a)
% 3.93/4.20  Clause #30 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr a Xphi) → in Xx a) True
% 3.93/4.20  Clause #31 (by clausification #[30]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (dsetconstr a a_1) → in Xx a) True
% 3.93/4.20  Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Eq (in a (dsetconstr a_1 a_2) → in a a_1) True
% 3.93/4.20  Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Or (Eq (in a (dsetconstr a_1 a_2)) False) (Eq (in a a_1) True)
% 3.93/4.20  Clause #34 (by clausification #[22]): ∀ (a : Iota), Eq (Not (∀ (B Xf : Iota), in Xf (injFuncSet (skS.0 3 a) B) → in Xf (funcSet (skS.0 3 a) B))) True
% 3.93/4.20  Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (B Xf : Iota), in Xf (injFuncSet (skS.0 3 a) B) → in Xf (funcSet (skS.0 3 a) B)) False
% 3.93/4.20  Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.93/4.20    Eq (Not (∀ (Xf : Iota), in Xf (injFuncSet (skS.0 3 a) (skS.0 4 a a_1)) → in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1))))
% 3.93/4.20      True
% 3.93/4.20  Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.93/4.20    Eq (∀ (Xf : Iota), in Xf (injFuncSet (skS.0 3 a) (skS.0 4 a a_1)) → in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1))) False
% 3.93/4.20  Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 3.93/4.20    Eq
% 3.93/4.20      (Not
% 3.93/4.20        (in (skS.0 5 a a_1 a_2) (injFuncSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 3.93/4.20          in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1))))
% 3.93/4.20      True
% 3.93/4.20  Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 3.93/4.20    Eq
% 3.93/4.20      (in (skS.0 5 a a_1 a_2) (injFuncSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 3.93/4.20        in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)))
% 3.93/4.20      False
% 3.93/4.20  Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (injFuncSet (skS.0 3 a) (skS.0 4 a a_1))) True
% 3.93/4.20  Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1))) False
% 3.93/4.20  Clause #42 (by betaEtaReduce #[28]): ∀ (a : Iota), Eq (injFuncSet a) fun B => dsetconstr (funcSet a B) (injective a B)
% 3.93/4.20  Clause #43 (by argument congruence #[42]): ∀ (a a_1 : Iota), Eq (injFuncSet a a_1) ((fun B => dsetconstr (funcSet a B) (injective a B)) a_1)
% 3.93/4.20  Clause #46 (by betaEtaReduce #[43]): ∀ (a a_1 : Iota), Eq (injFuncSet a a_1) (dsetconstr (funcSet a a_1) (injective a a_1))
% 3.93/4.20  Clause #47 (by superposition #[46, 33]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (injFuncSet a_1 a_2)) False) (Eq (in a (funcSet a_1 a_2)) True)
% 3.93/4.20  Clause #49 (by superposition #[47, 40]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1))) True) (Eq False True)
% 3.93/4.20  Clause #67 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1))) True
% 3.93/4.20  Clause #68 (by superposition #[67, 41]): Eq True False
% 3.93/4.20  Clause #72 (by clausification #[68]): False
% 3.93/4.20  SZS output end Proof for theBenchmark.p
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