TSTP Solution File: SEU528^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU528^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 16:42:32 EDT 2023
% Result : Theorem 3.83s 4.03s
% Output : Proof 3.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU528^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 16:02:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.83/4.03 SZS status Theorem for theBenchmark.p
% 3.83/4.03 SZS output start Proof for theBenchmark.p
% 3.83/4.03 Clause #0 (by assumption #[]): Eq (Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)) True
% 3.83/4.03 Clause #1 (by assumption #[]): Eq (Not (uniqinunit → ∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset)))) True
% 3.83/4.03 Clause #2 (by clausification #[0]): Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 3.83/4.03 Clause #16 (by clausification #[1]): Eq (uniqinunit → ∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset))) False
% 3.83/4.03 Clause #17 (by clausification #[16]): Eq uniqinunit True
% 3.83/4.03 Clause #18 (by clausification #[16]): Eq (∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset))) False
% 3.83/4.03 Clause #19 (by backward demodulation #[17, 2]): Eq True (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)
% 3.83/4.03 Clause #24 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in a (setadjoin Xy emptyset) → Eq a Xy) True
% 3.83/4.03 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a_1 emptyset) → Eq a a_1) True
% 3.83/4.03 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq (Eq a a_1) True)
% 3.83/4.03 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq a a_1)
% 3.83/4.03 Clause #28 (by clausification #[18]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), Ne (skS.0 2 a) Xy → Not (in Xy (setadjoin (skS.0 2 a) emptyset)))) True
% 3.83/4.03 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Ne (skS.0 2 a) Xy → Not (in Xy (setadjoin (skS.0 2 a) emptyset))) False
% 3.83/4.03 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.83/4.03 Eq (Not (Ne (skS.0 2 a) (skS.0 3 a a_1) → Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset)))) True
% 3.83/4.03 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1) → Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset))) False
% 3.83/4.03 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1)) True
% 3.83/4.03 Clause #33 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset))) False
% 3.83/4.03 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Ne (skS.0 2 a) (skS.0 3 a a_1)
% 3.83/4.03 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset)) True
% 3.83/4.03 Clause #36 (by superposition #[35, 27]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (skS.0 3 a a_1) (skS.0 2 a))
% 3.83/4.03 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (skS.0 3 a a_1) (skS.0 2 a)
% 3.83/4.03 Clause #38 (by forward contextual literal cutting #[37, 34]): False
% 3.83/4.03 SZS output end Proof for theBenchmark.p
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