TSTP Solution File: SEU801^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU801^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 5.49s 5.68s
% Output : Proof 5.49s
% 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 : SEU801^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : duper %s
% 0.18/0.36 % Computer : n005.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Wed Aug 23 12:58:09 EDT 2023
% 0.18/0.36 % CPUTime :
% 5.49/5.68 SZS status Theorem for theBenchmark.p
% 5.49/5.68 SZS output start Proof for theBenchmark.p
% 5.49/5.68 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))
% 5.49/5.68 True
% 5.49/5.68 Clause #2 (by assumption #[]): Eq (Eq surjFuncSet fun A B => dsetconstr (funcSet A B) fun Xf => surjective A B Xf) True
% 5.49/5.68 Clause #3 (by assumption #[]): Eq (Not (dsetconstrEL → ∀ (A B Xf : Iota), in Xf (surjFuncSet A B) → in Xf (funcSet A B))) True
% 5.49/5.68 Clause #4 (by betaEtaReduce #[0]): Eq (Eq dsetconstrEL (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)) True
% 5.49/5.68 Clause #5 (by clausification #[4]): Eq dsetconstrEL (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)
% 5.49/5.68 Clause #21 (by clausification #[3]): Eq (dsetconstrEL → ∀ (A B Xf : Iota), in Xf (surjFuncSet A B) → in Xf (funcSet A B)) False
% 5.49/5.68 Clause #22 (by clausification #[21]): Eq dsetconstrEL True
% 5.49/5.68 Clause #23 (by clausification #[21]): Eq (∀ (A B Xf : Iota), in Xf (surjFuncSet A B) → in Xf (funcSet A B)) False
% 5.49/5.68 Clause #24 (by backward demodulation #[22, 5]): Eq True (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → in Xx A)
% 5.49/5.68 Clause #31 (by clausification #[24]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr a Xphi) → in Xx a) True
% 5.49/5.68 Clause #32 (by clausification #[31]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (dsetconstr a a_1) → in Xx a) True
% 5.49/5.68 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Eq (in a (dsetconstr a_1 a_2) → in a a_1) True
% 5.49/5.68 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Or (Eq (in a (dsetconstr a_1 a_2)) False) (Eq (in a a_1) True)
% 5.49/5.68 Clause #35 (by clausification #[23]): ∀ (a : Iota), Eq (Not (∀ (B Xf : Iota), in Xf (surjFuncSet (skS.0 3 a) B) → in Xf (funcSet (skS.0 3 a) B))) True
% 5.49/5.68 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (B Xf : Iota), in Xf (surjFuncSet (skS.0 3 a) B) → in Xf (funcSet (skS.0 3 a) B)) False
% 5.49/5.68 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 5.49/5.68 Eq
% 5.49/5.68 (Not (∀ (Xf : Iota), in Xf (surjFuncSet (skS.0 3 a) (skS.0 4 a a_1)) → in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1))))
% 5.49/5.68 True
% 5.49/5.68 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 5.49/5.68 Eq (∀ (Xf : Iota), in Xf (surjFuncSet (skS.0 3 a) (skS.0 4 a a_1)) → in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1)))
% 5.49/5.68 False
% 5.49/5.68 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 5.49/5.68 Eq
% 5.49/5.68 (Not
% 5.49/5.68 (in (skS.0 5 a a_1 a_2) (surjFuncSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 5.49/5.68 in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1))))
% 5.49/5.68 True
% 5.49/5.68 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 5.49/5.68 Eq
% 5.49/5.68 (in (skS.0 5 a a_1 a_2) (surjFuncSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 5.49/5.68 in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)))
% 5.49/5.68 False
% 5.49/5.68 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 5 a a_1 a_2) (surjFuncSet (skS.0 3 a) (skS.0 4 a a_1))) True
% 5.49/5.68 Clause #42 (by clausification #[40]): ∀ (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
% 5.49/5.68 Clause #43 (by betaEtaReduce #[2]): Eq (Eq surjFuncSet fun A B => dsetconstr (funcSet A B) (surjective A B)) True
% 5.49/5.68 Clause #44 (by clausification #[43]): Eq surjFuncSet fun A B => dsetconstr (funcSet A B) (surjective A B)
% 5.49/5.68 Clause #45 (by argument congruence #[44]): ∀ (a : Iota), Eq (surjFuncSet a) ((fun A B => dsetconstr (funcSet A B) (surjective A B)) a)
% 5.49/5.68 Clause #47 (by betaEtaReduce #[45]): ∀ (a : Iota), Eq (surjFuncSet a) fun B => dsetconstr (funcSet a B) (surjective a B)
% 5.49/5.68 Clause #48 (by argument congruence #[47]): ∀ (a a_1 : Iota), Eq (surjFuncSet a a_1) ((fun B => dsetconstr (funcSet a B) (surjective a B)) a_1)
% 5.49/5.68 Clause #52 (by betaEtaReduce #[48]): ∀ (a a_1 : Iota), Eq (surjFuncSet a a_1) (dsetconstr (funcSet a a_1) (surjective a a_1))
% 5.49/5.68 Clause #53 (by superposition #[52, 34]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (surjFuncSet a_1 a_2)) False) (Eq (in a (funcSet a_1 a_2)) True)
% 5.49/5.70 Clause #54 (by superposition #[53, 41]): ∀ (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)
% 5.49/5.70 Clause #549 (by clausification #[54]): ∀ (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
% 5.49/5.70 Clause #550 (by superposition #[549, 42]): Eq True False
% 5.49/5.70 Clause #564 (by clausification #[550]): False
% 5.49/5.70 SZS output end Proof for theBenchmark.p
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