TSTP Solution File: SEU758^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU758^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 16:43:45 EDT 2023
% Result : Theorem 3.58s 3.77s
% 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
% 0.00/0.13 % Problem : SEU758^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 20:30:57 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.58/3.77 SZS status Theorem for theBenchmark.p
% 3.58/3.77 SZS output start Proof for theBenchmark.p
% 3.58/3.77 Clause #0 (by assumption #[]): Eq (Eq powersetE (∀ (A B Xx : Iota), in B (powerset A) → in Xx B → in Xx A)) True
% 3.58/3.77 Clause #1 (by assumption #[]): Eq (Eq binintersectEL (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx A)) True
% 3.58/3.77 Clause #2 (by assumption #[]): Eq
% 3.58/3.77 (Not
% 3.58/3.77 (powersetE →
% 3.58/3.77 binintersectEL →
% 3.58/3.77 ∀ (A X : Iota),
% 3.58/3.77 in X (powerset A) → ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx A))
% 3.58/3.77 True
% 3.58/3.77 Clause #3 (by clausification #[1]): Eq binintersectEL (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx A)
% 3.58/3.77 Clause #19 (by clausification #[0]): Eq powersetE (∀ (A B Xx : Iota), in B (powerset A) → in Xx B → in Xx A)
% 3.58/3.77 Clause #23 (by clausification #[2]): Eq
% 3.58/3.77 (powersetE →
% 3.58/3.77 binintersectEL →
% 3.58/3.77 ∀ (A X : Iota),
% 3.58/3.77 in X (powerset A) → ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx A)
% 3.58/3.77 False
% 3.58/3.77 Clause #24 (by clausification #[23]): Eq powersetE True
% 3.58/3.77 Clause #25 (by clausification #[23]): Eq
% 3.58/3.77 (binintersectEL →
% 3.58/3.77 ∀ (A X : Iota),
% 3.58/3.77 in X (powerset A) → ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx A)
% 3.58/3.77 False
% 3.58/3.77 Clause #26 (by backward demodulation #[24, 19]): Eq True (∀ (A B Xx : Iota), in B (powerset A) → in Xx B → in Xx A)
% 3.58/3.77 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in B (powerset a) → in Xx B → in Xx a) True
% 3.58/3.77 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in a (powerset a_1) → in Xx a → in Xx a_1) True
% 3.58/3.77 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Eq (in a (powerset a_1) → in a_2 a → in a_2 a_1) True
% 3.58/3.77 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) False) (Eq (in a_2 a → in a_2 a_1) True)
% 3.58/3.77 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (powerset a_1)) False) (Or (Eq (in a_2 a) False) (Eq (in a_2 a_1) True))
% 3.58/3.77 Clause #47 (by clausification #[25]): Eq binintersectEL True
% 3.58/3.77 Clause #48 (by clausification #[25]): Eq
% 3.58/3.77 (∀ (A X : Iota),
% 3.58/3.77 in X (powerset A) → ∀ (Y : Iota), in Y (powerset A) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx A)
% 3.58/3.77 False
% 3.58/3.77 Clause #49 (by backward demodulation #[47, 3]): Eq True (∀ (A B Xx : Iota), in Xx (binintersect A B) → in Xx A)
% 3.58/3.77 Clause #53 (by clausification #[49]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (binintersect a B) → in Xx a) True
% 3.58/3.77 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (binintersect a a_1) → in Xx a) True
% 3.58/3.77 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), Eq (in a (binintersect a_1 a_2) → in a a_1) True
% 3.58/3.77 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (binintersect a_1 a_2)) False) (Eq (in a a_1) True)
% 3.58/3.77 Clause #57 (by clausification #[48]): ∀ (a : Iota),
% 3.58/3.77 Eq
% 3.58/3.77 (Not
% 3.58/3.77 (∀ (X : Iota),
% 3.58/3.77 in X (powerset (skS.0 6 a)) →
% 3.58/3.77 ∀ (Y : Iota), in Y (powerset (skS.0 6 a)) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx (skS.0 6 a)))
% 3.58/3.77 True
% 3.58/3.77 Clause #58 (by clausification #[57]): ∀ (a : Iota),
% 3.58/3.77 Eq
% 3.58/3.77 (∀ (X : Iota),
% 3.58/3.77 in X (powerset (skS.0 6 a)) →
% 3.58/3.77 ∀ (Y : Iota), in Y (powerset (skS.0 6 a)) → ∀ (Xx : Iota), in Xx (binintersect X Y) → in Xx (skS.0 6 a))
% 3.58/3.77 False
% 3.58/3.77 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota),
% 3.58/3.77 Eq
% 3.58/3.77 (Not
% 3.58/3.77 (in (skS.0 7 a a_1) (powerset (skS.0 6 a)) →
% 3.58/3.77 ∀ (Y : Iota),
% 3.58/3.77 in Y (powerset (skS.0 6 a)) → ∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) Y) → in Xx (skS.0 6 a)))
% 3.58/3.77 True
% 3.58/3.77 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota),
% 3.58/3.77 Eq
% 3.58/3.77 (in (skS.0 7 a a_1) (powerset (skS.0 6 a)) →
% 3.58/3.77 ∀ (Y : Iota),
% 3.58/3.77 in Y (powerset (skS.0 6 a)) → ∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) Y) → in Xx (skS.0 6 a))
% 3.58/3.77 False
% 3.58/3.77 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), Eq (in (skS.0 7 a a_1) (powerset (skS.0 6 a))) True
% 3.58/3.77 Clause #62 (by clausification #[60]): ∀ (a a_1 : Iota),
% 3.58/3.78 Eq
% 3.58/3.78 (∀ (Y : Iota),
% 3.58/3.78 in Y (powerset (skS.0 6 a)) → ∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) Y) → in Xx (skS.0 6 a))
% 3.58/3.78 False
% 3.58/3.78 Clause #63 (by superposition #[61, 31]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (in a (skS.0 7 a_1 a_2)) False) (Eq (in a (skS.0 6 a_1)) True))
% 3.58/3.78 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.78 Eq
% 3.58/3.78 (Not
% 3.58/3.78 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 6 a)) →
% 3.58/3.78 ∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2)) → in Xx (skS.0 6 a)))
% 3.58/3.78 True
% 3.58/3.78 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.78 Eq
% 3.58/3.78 (in (skS.0 8 a a_1 a_2) (powerset (skS.0 6 a)) →
% 3.58/3.78 ∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2)) → in Xx (skS.0 6 a))
% 3.58/3.78 False
% 3.58/3.78 Clause #67 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 3.58/3.78 Eq (∀ (Xx : Iota), in Xx (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2)) → in Xx (skS.0 6 a)) False
% 3.58/3.78 Clause #69 (by clausification #[67]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.58/3.78 Eq
% 3.58/3.78 (Not
% 3.58/3.78 (in (skS.0 9 a a_1 a_2 a_3) (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2)) →
% 3.58/3.78 in (skS.0 9 a a_1 a_2 a_3) (skS.0 6 a)))
% 3.58/3.78 True
% 3.58/3.78 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.58/3.78 Eq
% 3.58/3.78 (in (skS.0 9 a a_1 a_2 a_3) (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2)) →
% 3.58/3.78 in (skS.0 9 a a_1 a_2 a_3) (skS.0 6 a))
% 3.58/3.78 False
% 3.58/3.78 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 9 a a_1 a_2 a_3) (binintersect (skS.0 7 a a_1) (skS.0 8 a a_1 a_2))) True
% 3.58/3.78 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 9 a a_1 a_2 a_3) (skS.0 6 a)) False
% 3.58/3.78 Clause #73 (by superposition #[71, 56]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (in (skS.0 9 a a_1 a_2 a_3) (skS.0 7 a a_1)) True)
% 3.58/3.78 Clause #78 (by clausification #[63]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (skS.0 7 a_1 a_2)) False) (Eq (in a (skS.0 6 a_1)) True)
% 3.58/3.78 Clause #80 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 9 a a_1 a_2 a_3) (skS.0 7 a a_1)) True
% 3.58/3.78 Clause #81 (by superposition #[80, 78]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (in (skS.0 9 a a_1 a_2 a_3) (skS.0 6 a)) True)
% 3.58/3.78 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 9 a a_1 a_2 a_3) (skS.0 6 a)) True
% 3.58/3.78 Clause #83 (by superposition #[82, 72]): Eq True False
% 3.58/3.78 Clause #84 (by clausification #[83]): False
% 3.58/3.78 SZS output end Proof for theBenchmark.p
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