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