TSTP Solution File: SEU722^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU722^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 16:43:34 EDT 2023
% Result : Theorem 3.58s 3.91s
% Output : Proof 3.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU722^2 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.15 % Command : duper %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 17:23:13 EDT 2023
% 0.16/0.36 % CPUTime :
% 3.58/3.91 SZS status Theorem for theBenchmark.p
% 3.58/3.91 SZS output start Proof for theBenchmark.p
% 3.58/3.91 Clause #0 (by assumption #[]): Eq (Eq binintersectER (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx B)) True
% 3.58/3.91 Clause #1 (by assumption #[]): Eq
% 3.58/3.91 (Not
% 3.58/3.91 (binintersectER →
% 3.58/3.91 ∀ (A X : Iota),
% 3.58/3.91 in X (powerset A) →
% 3.58/3.91 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx Y) → Not (in Xx (binintersect X Y))))
% 3.58/3.91 True
% 3.58/3.91 Clause #2 (by clausification #[0]): Eq binintersectER (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx B)
% 3.58/3.91 Clause #18 (by clausification #[1]): Eq
% 3.58/3.91 (binintersectER →
% 3.58/3.91 ∀ (A X : Iota),
% 3.58/3.91 in X (powerset A) →
% 3.58/3.91 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx Y) → Not (in Xx (binintersect X Y)))
% 3.58/3.91 False
% 3.58/3.91 Clause #19 (by clausification #[18]): Eq binintersectER True
% 3.58/3.91 Clause #20 (by clausification #[18]): Eq
% 3.58/3.91 (∀ (A X : Iota),
% 3.58/3.91 in X (powerset A) →
% 3.58/3.91 ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx A → Not (in Xx Y) → Not (in Xx (binintersect X Y)))
% 3.58/3.91 False
% 3.58/3.91 Clause #21 (by backward demodulation #[19, 2]): Eq True (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx B)
% 3.58/3.91 Clause #25 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (binintersect a B) → in Xx B) True
% 3.58/3.91 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (binintersect a a_1) → in Xx a_1) True
% 3.58/3.91 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (in a (binintersect a_1 a_2) → in a a_2) True
% 3.58/3.91 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (binintersect a_1 a_2)) False) (Eq (in a a_2) True)
% 3.58/3.91 Clause #29 (by clausification #[20]): ∀ (a : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (Not
% 3.58/3.91 (∀ (X : Iota),
% 3.58/3.91 in X (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Y : Iota),
% 3.58/3.91 in Y (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota), in Xx (skS.0 3 a) → Not (in Xx Y) → Not (in Xx (binintersect X Y))))
% 3.58/3.91 True
% 3.58/3.91 Clause #30 (by clausification #[29]): ∀ (a : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (∀ (X : Iota),
% 3.58/3.91 in X (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Y : Iota),
% 3.58/3.91 in Y (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota), in Xx (skS.0 3 a) → Not (in Xx Y) → Not (in Xx (binintersect X Y)))
% 3.58/3.91 False
% 3.58/3.91 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (Not
% 3.58/3.91 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Y : Iota),
% 3.58/3.91 in Y (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota), in Xx (skS.0 3 a) → Not (in Xx Y) → Not (in Xx (binintersect (skS.0 4 a a_1) Y))))
% 3.58/3.91 True
% 3.58/3.91 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (in (skS.0 4 a a_1) (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Y : Iota),
% 3.58/3.91 in Y (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota), in Xx (skS.0 3 a) → Not (in Xx Y) → Not (in Xx (binintersect (skS.0 4 a a_1) Y)))
% 3.58/3.91 False
% 3.58/3.91 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (∀ (Y : Iota),
% 3.58/3.91 in Y (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota), in Xx (skS.0 3 a) → Not (in Xx Y) → Not (in Xx (binintersect (skS.0 4 a a_1) Y)))
% 3.58/3.91 False
% 3.58/3.91 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (Not
% 3.58/3.91 (in (skS.0 5 a a_1 a_2) (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota),
% 3.58/3.91 in Xx (skS.0 3 a) →
% 3.58/3.91 Not (in Xx (skS.0 5 a a_1 a_2)) → Not (in Xx (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))))
% 3.58/3.91 True
% 3.58/3.91 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (in (skS.0 5 a a_1 a_2) (powerset (skS.0 3 a)) →
% 3.58/3.91 ∀ (Xx : Iota),
% 3.58/3.91 in Xx (skS.0 3 a) →
% 3.58/3.91 Not (in Xx (skS.0 5 a a_1 a_2)) → Not (in Xx (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))))
% 3.58/3.91 False
% 3.58/3.91 Clause #38 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (∀ (Xx : Iota),
% 3.58/3.91 in Xx (skS.0 3 a) →
% 3.58/3.91 Not (in Xx (skS.0 5 a a_1 a_2)) → Not (in Xx (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))))
% 3.58/3.91 False
% 3.58/3.91 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.58/3.91 Eq
% 3.58/3.91 (Not
% 3.58/3.91 (in (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a) →
% 3.58/3.92 Not (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) →
% 3.58/3.92 Not (in (skS.0 6 a a_1 a_2 a_3) (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))))
% 3.58/3.92 True
% 3.58/3.92 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.58/3.92 Eq
% 3.58/3.92 (in (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a) →
% 3.58/3.92 Not (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) →
% 3.58/3.92 Not (in (skS.0 6 a a_1 a_2 a_3) (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))))
% 3.58/3.92 False
% 3.58/3.92 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.58/3.92 Eq
% 3.58/3.92 (Not (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) →
% 3.58/3.92 Not (in (skS.0 6 a a_1 a_2 a_3) (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))))
% 3.58/3.92 False
% 3.58/3.92 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Not (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2))) True
% 3.58/3.92 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Not (in (skS.0 6 a a_1 a_2 a_3) (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))) False
% 3.58/3.92 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) False
% 3.58/3.92 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 6 a a_1 a_2 a_3) (binintersect (skS.0 4 a a_1) (skS.0 5 a a_1 a_2))) True
% 3.58/3.92 Clause #47 (by superposition #[46, 28]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) True)
% 3.58/3.92 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 6 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2)) True
% 3.58/3.92 Clause #49 (by superposition #[48, 45]): Eq True False
% 3.58/3.92 Clause #50 (by clausification #[49]): False
% 3.58/3.92 SZS output end Proof for theBenchmark.p
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