TSTP Solution File: SET575+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 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 14:46:51 EDT 2023
% Result : Theorem 3.63s 3.79s
% Output : Proof 3.63s
% 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 : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n014.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 : Sat Aug 26 12:35:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.63/3.79 SZS status Theorem for theBenchmark.p
% 3.63/3.79 SZS output start Proof for theBenchmark.p
% 3.63/3.79 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Iff (intersect B C) (Exists fun D => And (member D B) (member D C))) True
% 3.63/3.79 Clause #2 (by assumption #[]): Eq (Not (∀ (B C : Iota), intersect B C → Exists fun D => And (member D B) (member D C))) True
% 3.63/3.79 Clause #6 (by clausification #[2]): Eq (∀ (B C : Iota), intersect B C → Exists fun D => And (member D B) (member D C)) False
% 3.63/3.79 Clause #7 (by clausification #[6]): ∀ (a : Iota),
% 3.63/3.79 Eq (Not (∀ (C : Iota), intersect (skS.0 0 a) C → Exists fun D => And (member D (skS.0 0 a)) (member D C))) True
% 3.63/3.79 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C : Iota), intersect (skS.0 0 a) C → Exists fun D => And (member D (skS.0 0 a)) (member D C)) False
% 3.63/3.79 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 3.63/3.79 Eq
% 3.63/3.79 (Not
% 3.63/3.79 (intersect (skS.0 0 a) (skS.0 1 a a_1) → Exists fun D => And (member D (skS.0 0 a)) (member D (skS.0 1 a a_1))))
% 3.63/3.79 True
% 3.63/3.79 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota),
% 3.63/3.79 Eq (intersect (skS.0 0 a) (skS.0 1 a a_1) → Exists fun D => And (member D (skS.0 0 a)) (member D (skS.0 1 a a_1)))
% 3.63/3.79 False
% 3.63/3.79 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (intersect (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.63/3.79 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Exists fun D => And (member D (skS.0 0 a)) (member D (skS.0 1 a a_1))) False
% 3.63/3.79 Clause #14 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (intersect a C) (Exists fun D => And (member D a) (member D C))) True
% 3.63/3.79 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (Iff (intersect a a_1) (Exists fun D => And (member D a) (member D a_1))) True
% 3.63/3.79 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (intersect a a_1) False) (Eq (Exists fun D => And (member D a) (member D a_1)) True)
% 3.63/3.79 Clause #20 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 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)
% 3.63/3.79 Clause #21 (by clausification #[20]): ∀ (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)
% 3.63/3.79 Clause #22 (by clausification #[20]): ∀ (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)
% 3.63/3.79 Clause #23 (by superposition #[21, 11]): ∀ (a a_1 a_2 : Iota), Or (Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_1)) True) (Eq False True)
% 3.63/3.79 Clause #24 (by superposition #[22, 11]): ∀ (a a_1 a_2 : Iota), Or (Eq (member (skS.0 2 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 0 a)) True) (Eq False True)
% 3.63/3.79 Clause #25 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Eq (And (member a (skS.0 0 a_1)) (member a (skS.0 1 a_1 a_2))) False
% 3.63/3.79 Clause #26 (by clausification #[25]): ∀ (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)
% 3.63/3.79 Clause #31 (by clausification #[24]): ∀ (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
% 3.63/3.79 Clause #32 (by superposition #[31, 26]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.63/3.79 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)
% 3.63/3.79 Clause #39 (by clausification #[23]): ∀ (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
% 3.63/3.79 Clause #41 (by clausification #[32]): ∀ (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
% 3.63/3.79 Clause #42 (by superposition #[41, 39]): Eq False True
% 3.63/3.79 Clause #43 (by clausification #[42]): False
% 3.63/3.79 SZS output end Proof for theBenchmark.p
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