TSTP Solution File: SEU675^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU675^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 16:43:20 EDT 2023
% Result : Theorem 27.20s 27.57s
% Output : Proof 27.70s
% 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 : SEU675^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 14:13:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 27.20/27.57 SZS status Theorem for theBenchmark.p
% 27.20/27.57 SZS output start Proof for theBenchmark.p
% 27.20/27.57 Clause #0 (by assumption #[]): Eq (Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A fun Xy => Xphi Xy) → Xphi Xx))
% 27.20/27.57 True
% 27.20/27.57 Clause #5 (by assumption #[]): Eq (Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) fun Xf => func A B Xf) True
% 27.20/27.57 Clause #6 (by assumption #[]): Eq (Not (dsetconstrER → ∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf)) True
% 27.20/27.57 Clause #7 (by betaEtaReduce #[0]): Eq (Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)) True
% 27.20/27.57 Clause #8 (by clausification #[7]): Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)
% 27.20/27.57 Clause #24 (by clausification #[6]): Eq (dsetconstrER → ∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf) False
% 27.20/27.57 Clause #25 (by clausification #[24]): Eq dsetconstrER True
% 27.20/27.57 Clause #26 (by clausification #[24]): Eq (∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf) False
% 27.20/27.57 Clause #27 (by backward demodulation #[25, 8]): Eq True (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)
% 27.20/27.57 Clause #32 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr a Xphi) → Xphi Xx) True
% 27.20/27.57 Clause #33 (by clausification #[32]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (dsetconstr a a_1) → a_1 Xx) True
% 27.20/27.57 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Eq (in a (dsetconstr a_1 a_2) → a_2 a) True
% 27.20/27.57 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota) (a_2 : Iota → Prop), Or (Eq (in a (dsetconstr a_1 a_2)) False) (Eq (a_2 a) True)
% 27.20/27.57 Clause #38 (by clausification #[26]): ∀ (a : Iota), Eq (Not (∀ (B Xf : Iota), in Xf (funcSet (skS.0 3 a) B) → func (skS.0 3 a) B Xf)) True
% 27.20/27.57 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (∀ (B Xf : Iota), in Xf (funcSet (skS.0 3 a) B) → func (skS.0 3 a) B Xf) False
% 27.20/27.57 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 27.20/27.57 Eq (Not (∀ (Xf : Iota), in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1)) → func (skS.0 3 a) (skS.0 4 a a_1) Xf)) True
% 27.20/27.57 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 27.20/27.57 Eq (∀ (Xf : Iota), in Xf (funcSet (skS.0 3 a) (skS.0 4 a a_1)) → func (skS.0 3 a) (skS.0 4 a a_1) Xf) False
% 27.20/27.57 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 27.20/27.57 Eq
% 27.20/27.57 (Not
% 27.20/27.57 (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 27.20/27.57 func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 27.20/27.57 True
% 27.20/27.57 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 27.20/27.57 Eq
% 27.20/27.57 (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)) →
% 27.20/27.57 func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))
% 27.20/27.57 False
% 27.20/27.57 Clause #44 (by clausification #[43]): ∀ (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
% 27.20/27.57 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Eq (func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)) False
% 27.20/27.57 Clause #162 (by betaEtaReduce #[5]): Eq (Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) (func A B)) True
% 27.20/27.57 Clause #163 (by clausification #[162]): Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) (func A B)
% 27.20/27.57 Clause #164 (by argument congruence #[163]): ∀ (a : Iota), Eq (funcSet a) ((fun A B => dsetconstr (powerset (cartprod A B)) (func A B)) a)
% 27.20/27.57 Clause #170 (by betaEtaReduce #[164]): ∀ (a : Iota), Eq (funcSet a) fun B => dsetconstr (powerset (cartprod a B)) (func a B)
% 27.20/27.57 Clause #171 (by argument congruence #[170]): ∀ (a a_1 : Iota), Eq (funcSet a a_1) ((fun B => dsetconstr (powerset (cartprod a B)) (func a B)) a_1)
% 27.20/27.57 Clause #181 (by betaEtaReduce #[171]): ∀ (a a_1 : Iota), Eq (funcSet a a_1) (dsetconstr (powerset (cartprod a a_1)) (func a a_1))
% 27.20/27.57 Clause #182 (by superposition #[181, 35]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (funcSet a_1 a_2)) False) (Eq (func a_1 a_2 a) True)
% 27.20/27.57 Clause #190 (by superposition #[182, 44]): ∀ (a a_1 a_2 : Iota), Or (Eq (func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)) True) (Eq False True)
% 27.70/27.86 Clause #7063 (by clausification #[190]): ∀ (a a_1 a_2 : Iota), Eq (func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)) True
% 27.70/27.86 Clause #7064 (by superposition #[7063, 45]): Eq True False
% 27.70/27.86 Clause #7094 (by clausification #[7064]): False
% 27.70/27.86 SZS output end Proof for theBenchmark.p
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