0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : duper %s
0.12/0.34	% Computer : n017.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Mon Jul  3 03:46:53 EDT 2023
0.12/0.34	% CPUTime    : 
26.55/26.73	SZS status Theorem for theBenchmark.p
26.55/26.73	SZS output start Proof for theBenchmark.p
26.55/26.73	Clause #0 (by assumption #[]): Eq (Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A fun Xy => Xphi Xy) → Xphi Xx))
26.55/26.73	  True
26.55/26.73	Clause #5 (by assumption #[]): Eq (Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) fun Xf => func A B Xf) True
26.55/26.73	Clause #6 (by assumption #[]): Eq (Not (dsetconstrER → ∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf)) True
26.55/26.73	Clause #7 (by betaEtaReduce #[0]): Eq (Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)) True
26.55/26.73	Clause #8 (by clausification #[7]): Eq dsetconstrER (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)
26.55/26.73	Clause #24 (by clausification #[6]): Eq (dsetconstrER → ∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf) False
26.55/26.73	Clause #25 (by clausification #[24]): Eq dsetconstrER True
26.55/26.73	Clause #26 (by clausification #[24]): Eq (∀ (A B Xf : Iota), in Xf (funcSet A B) → func A B Xf) False
26.55/26.73	Clause #27 (by backward demodulation #[25, 8]): Eq True (∀ (A : Iota) (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr A Xphi) → Xphi Xx)
26.55/26.73	Clause #32 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx (dsetconstr a Xphi) → Xphi Xx) True
26.55/26.73	Clause #33 (by clausification #[32]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (∀ (Xx : Iota), in Xx (dsetconstr a a_1) → a_1 Xx) True
26.55/26.73	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
26.55/26.73	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)
26.55/26.73	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
26.55/26.73	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
26.55/26.73	Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
26.55/26.73	  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
26.55/26.73	Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
26.55/26.73	  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
26.55/26.73	Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
26.55/26.73	  Eq
26.55/26.73	    (Not
26.55/26.73	      (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)) →
26.55/26.73	        func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
26.55/26.73	    True
26.55/26.73	Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
26.55/26.73	  Eq
26.55/26.73	    (in (skS.0 5 a a_1 a_2) (funcSet (skS.0 3 a) (skS.0 4 a a_1)) →
26.55/26.73	      func (skS.0 3 a) (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))
26.55/26.73	    False
26.55/26.73	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
26.55/26.73	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
26.55/26.73	Clause #162 (by betaEtaReduce #[5]): Eq (Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) (func A B)) True
26.55/26.73	Clause #163 (by clausification #[162]): Eq funcSet fun A B => dsetconstr (powerset (cartprod A B)) (func A B)
26.55/26.73	Clause #164 (by argument congruence #[163]): ∀ (a : Iota), Eq (funcSet a) ((fun A B => dsetconstr (powerset (cartprod A B)) (func A B)) a)
26.55/26.73	Clause #170 (by betaEtaReduce #[164]): ∀ (a : Iota), Eq (funcSet a) fun B => dsetconstr (powerset (cartprod a B)) (func a B)
26.55/26.73	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)
26.55/26.73	Clause #181 (by betaEtaReduce #[171]): ∀ (a a_1 : Iota), Eq (funcSet a a_1) (dsetconstr (powerset (cartprod a a_1)) (func a a_1))
26.55/26.73	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)
26.55/26.73	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)
26.75/27.00	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
26.75/27.00	Clause #7064 (by superposition #[7063, 45]): Eq True False
26.75/27.00	Clause #7094 (by clausification #[7064]): False
26.75/27.00	SZS output end Proof for theBenchmark.p
26.75/27.00	EOF