TSTP Solution File: SEU617^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU617^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 16:43:01 EDT 2023
% Result : Theorem 3.65s 3.89s
% Output : Proof 3.65s
% 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 : SEU617^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 13:28:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.65/3.89 SZS status Theorem for theBenchmark.p
% 3.65/3.89 SZS output start Proof for theBenchmark.p
% 3.65/3.89 Clause #0 (by assumption #[]): Eq (Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))) True
% 3.65/3.89 Clause #1 (by assumption #[]): Eq (Eq setunionI (∀ (A Xx B : Iota), in Xx B → in B A → in Xx (setunion A))) True
% 3.65/3.89 Clause #2 (by assumption #[]): Eq
% 3.65/3.89 (Not
% 3.65/3.89 (setadjoinIL →
% 3.65/3.89 setunionI →
% 3.65/3.89 ∀ (Xx Xy : Iota),
% 3.65/3.89 in Xx
% 3.65/3.89 (setunion (setadjoin (setadjoin Xx emptyset) (setadjoin (setadjoin Xx (setadjoin Xy emptyset)) emptyset)))))
% 3.65/3.89 True
% 3.65/3.89 Clause #3 (by clausification #[0]): Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))
% 3.65/3.89 Clause #5 (by clausify Prop equality #[3]): Or (Eq setadjoinIL False) (Eq (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) True)
% 3.65/3.89 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq setadjoinIL False) (Eq (∀ (Xy : Iota), in a (setadjoin a Xy)) True)
% 3.65/3.89 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq setadjoinIL False) (Eq (in a (setadjoin a a_1)) True)
% 3.65/3.89 Clause #13 (by clausification #[1]): Eq setunionI (∀ (A Xx B : Iota), in Xx B → in B A → in Xx (setunion A))
% 3.65/3.89 Clause #17 (by clausification #[2]): Eq
% 3.65/3.89 (setadjoinIL →
% 3.65/3.89 setunionI →
% 3.65/3.89 ∀ (Xx Xy : Iota),
% 3.65/3.89 in Xx
% 3.65/3.89 (setunion (setadjoin (setadjoin Xx emptyset) (setadjoin (setadjoin Xx (setadjoin Xy emptyset)) emptyset))))
% 3.65/3.89 False
% 3.65/3.89 Clause #18 (by clausification #[17]): Eq setadjoinIL True
% 3.65/3.89 Clause #19 (by clausification #[17]): Eq
% 3.65/3.89 (setunionI →
% 3.65/3.89 ∀ (Xx Xy : Iota),
% 3.65/3.89 in Xx (setunion (setadjoin (setadjoin Xx emptyset) (setadjoin (setadjoin Xx (setadjoin Xy emptyset)) emptyset))))
% 3.65/3.89 False
% 3.65/3.89 Clause #21 (by backward demodulation #[18, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in a (setadjoin a a_1)) True)
% 3.65/3.89 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a a_1)) True
% 3.65/3.89 Clause #38 (by clausification #[19]): Eq setunionI True
% 3.65/3.89 Clause #39 (by clausification #[19]): Eq
% 3.65/3.89 (∀ (Xx Xy : Iota),
% 3.65/3.89 in Xx (setunion (setadjoin (setadjoin Xx emptyset) (setadjoin (setadjoin Xx (setadjoin Xy emptyset)) emptyset))))
% 3.65/3.89 False
% 3.65/3.89 Clause #40 (by backward demodulation #[38, 13]): Eq True (∀ (A Xx B : Iota), in Xx B → in B A → in Xx (setunion A))
% 3.65/3.89 Clause #43 (by clausification #[40]): ∀ (a : Iota), Eq (∀ (Xx B : Iota), in Xx B → in B a → in Xx (setunion a)) True
% 3.65/3.89 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), in a B → in B a_1 → in a (setunion a_1)) True
% 3.65/3.89 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → in a_1 a_2 → in a (setunion a_2)) True
% 3.65/3.89 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (in a_1 a_2 → in a (setunion a_2)) True)
% 3.65/3.89 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a_1 a_2) False) (Eq (in a (setunion a_2)) True))
% 3.65/3.89 Clause #48 (by superposition #[47, 23]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (setadjoin a a_1) a_2) False) (Or (Eq (in a (setunion a_2)) True) (Eq False True))
% 3.65/3.89 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (setadjoin a a_1) a_2) False) (Eq (in a (setunion a_2)) True)
% 3.65/3.89 Clause #50 (by superposition #[49, 23]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setunion (setadjoin (setadjoin a a_1) a_2))) True) (Eq False True)
% 3.65/3.89 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), Eq (in a (setunion (setadjoin (setadjoin a a_1) a_2))) True
% 3.65/3.89 Clause #65 (by clausification #[39]): ∀ (a : Iota),
% 3.65/3.89 Eq
% 3.65/3.89 (Not
% 3.65/3.89 (∀ (Xy : Iota),
% 3.65/3.89 in (skS.0 5 a)
% 3.65/3.89 (setunion
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) emptyset)
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) (setadjoin Xy emptyset)) emptyset)))))
% 3.65/3.89 True
% 3.65/3.89 Clause #66 (by clausification #[65]): ∀ (a : Iota),
% 3.65/3.89 Eq
% 3.65/3.89 (∀ (Xy : Iota),
% 3.65/3.89 in (skS.0 5 a)
% 3.65/3.89 (setunion
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) emptyset)
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) (setadjoin Xy emptyset)) emptyset))))
% 3.65/3.89 False
% 3.65/3.89 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 3.65/3.89 Eq
% 3.65/3.89 (Not
% 3.65/3.89 (in (skS.0 5 a)
% 3.65/3.89 (setunion
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) emptyset)
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_1) emptyset)) emptyset)))))
% 3.65/3.89 True
% 3.65/3.89 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota),
% 3.65/3.89 Eq
% 3.65/3.89 (in (skS.0 5 a)
% 3.65/3.89 (setunion
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) emptyset)
% 3.65/3.89 (setadjoin (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_1) emptyset)) emptyset))))
% 3.65/3.89 False
% 3.65/3.89 Clause #69 (by superposition #[68, 51]): Eq False True
% 3.65/3.89 Clause #70 (by clausification #[69]): False
% 3.65/3.89 SZS output end Proof for theBenchmark.p
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