TSTP Solution File: SET576+3 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:46:51 EDT 2023
% Result : Theorem 6.24s 6.52s
% Output : Proof 6.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : duper %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 12:10:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 6.24/6.52 SZS status Theorem for theBenchmark.p
% 6.24/6.52 SZS output start Proof for theBenchmark.p
% 6.24/6.52 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Iff (intersect B C) (Exists fun D => And (member D B) (member D C))) True
% 6.24/6.52 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (disjoint B C) (Not (intersect B C))) True
% 6.24/6.52 Clause #3 (by assumption #[]): Eq (Not (∀ (B C : Iota), (∀ (D : Iota), member D B → Not (member D C)) → disjoint B C)) True
% 6.24/6.52 Clause #7 (by clausification #[3]): Eq (∀ (B C : Iota), (∀ (D : Iota), member D B → Not (member D C)) → disjoint B C) False
% 6.24/6.52 Clause #8 (by clausification #[7]): ∀ (a : Iota),
% 6.24/6.52 Eq (Not (∀ (C : Iota), (∀ (D : Iota), member D (skS.0 0 a) → Not (member D C)) → disjoint (skS.0 0 a) C)) True
% 6.24/6.52 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (C : Iota), (∀ (D : Iota), member D (skS.0 0 a) → Not (member D C)) → disjoint (skS.0 0 a) C) False
% 6.24/6.52 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota),
% 6.24/6.52 Eq
% 6.24/6.52 (Not ((∀ (D : Iota), member D (skS.0 0 a) → Not (member D (skS.0 1 a a_1))) → disjoint (skS.0 0 a) (skS.0 1 a a_1)))
% 6.24/6.52 True
% 6.24/6.52 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 6.24/6.52 Eq ((∀ (D : Iota), member D (skS.0 0 a) → Not (member D (skS.0 1 a a_1))) → disjoint (skS.0 0 a) (skS.0 1 a a_1))
% 6.24/6.52 False
% 6.24/6.52 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), member D (skS.0 0 a) → Not (member D (skS.0 1 a a_1))) True
% 6.24/6.52 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (disjoint (skS.0 0 a) (skS.0 1 a a_1)) False
% 6.24/6.52 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Eq (member a (skS.0 0 a_1) → Not (member a (skS.0 1 a_1 a_2))) True
% 6.24/6.52 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (skS.0 0 a_1)) False) (Eq (Not (member a (skS.0 1 a_1 a_2))) True)
% 6.24/6.52 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (skS.0 0 a_1)) False) (Eq (member a (skS.0 1 a_1 a_2)) False)
% 6.24/6.52 Clause #17 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (disjoint a C) (Not (intersect a C))) True
% 6.24/6.52 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (Iff (disjoint a a_1) (Not (intersect a a_1))) True
% 6.24/6.52 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (Not (intersect a a_1)) False)
% 6.24/6.52 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (intersect a a_1) True)
% 6.24/6.52 Clause #25 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (intersect a C) (Exists fun D => And (member D a) (member D C))) True
% 6.24/6.52 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (Iff (intersect a a_1) (Exists fun D => And (member D a) (member D a_1))) True
% 6.24/6.52 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (intersect a a_1) False) (Eq (Exists fun D => And (member D a) (member D a_1)) True)
% 6.24/6.52 Clause #31 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 6.24/6.52 Or (Eq (intersect a a_1) False) (Eq (And (member (skS.0 2 a a_1 a_2) a) (member (skS.0 2 a a_1 a_2) a_1)) True)
% 6.24/6.52 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Or (Eq (intersect a a_1) False) (Eq (member (skS.0 2 a a_1 a_2) a_1) True)
% 6.24/6.52 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Or (Eq (intersect a a_1) False) (Eq (member (skS.0 2 a a_1 a_2) a) True)
% 6.24/6.52 Clause #34 (by superposition #[13, 21]): ∀ (a a_1 : Iota), Or (Eq (intersect (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 6.24/6.52 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (intersect (skS.0 0 a) (skS.0 1 a a_1)) True
% 6.24/6.52 Clause #37 (by superposition #[35, 32]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_1)) True)
% 6.24/6.52 Clause #38 (by superposition #[35, 33]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 0 a)) True)
% 6.24/6.52 Clause #43 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_1)) True
% 6.24/6.52 Clause #48 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 0 a)) True
% 6.24/6.52 Clause #49 (by superposition #[48, 16]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.24/6.52 Or (Eq True False) (Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_3)) False)
% 6.24/6.52 Clause #53 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota), Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_3)) False
% 6.24/6.52 Clause #54 (by superposition #[53, 43]): Eq False True
% 6.24/6.52 Clause #58 (by clausification #[54]): False
% 6.24/6.52 SZS output end Proof for theBenchmark.p
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