TSTP Solution File: SEU122+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 16:40:17 EDT 2023
% Result : Theorem 3.52s 3.79s
% Output : Proof 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.18/0.36 % Computer : n016.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Wed Aug 23 21:18:53 EDT 2023
% 0.18/0.36 % CPUTime :
% 3.52/3.79 SZS status Theorem for theBenchmark.p
% 3.52/3.79 SZS output start Proof for theBenchmark.p
% 3.52/3.79 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 3.52/3.79 Clause #3 (by assumption #[]): Eq (empty empty_set) True
% 3.52/3.79 Clause #7 (by assumption #[]): Eq (Not (∀ (A : Iota), subset empty_set A)) True
% 3.52/3.79 Clause #9 (by assumption #[]): Eq (∀ (A B : Iota), Not (And (in A B) (empty B))) True
% 3.52/3.79 Clause #11 (by clausification #[7]): Eq (∀ (A : Iota), subset empty_set A) False
% 3.52/3.79 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (Not (subset empty_set (skS.0 0 a))) True
% 3.52/3.79 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (subset empty_set (skS.0 0 a)) False
% 3.52/3.79 Clause #31 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (And (in a B) (empty B))) True
% 3.52/3.79 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Not (And (in a a_1) (empty a_1))) True
% 3.52/3.79 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (And (in a a_1) (empty a_1)) False
% 3.52/3.79 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (empty a_1) False)
% 3.52/3.79 Clause #35 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 3.52/3.79 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 3.52/3.79 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 3.52/3.79 Clause #39 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 3.52/3.79 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1)) True)
% 3.52/3.79 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1) False)
% 3.52/3.79 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a) True)
% 3.52/3.79 Clause #44 (by superposition #[41, 34]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Or (Eq True False) (Eq (empty a) False))
% 3.52/3.79 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (empty a) False)
% 3.52/3.79 Clause #46 (by superposition #[45, 3]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq False True)
% 3.52/3.79 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (subset empty_set a) True
% 3.52/3.79 Clause #48 (by superposition #[47, 13]): Eq True False
% 3.52/3.79 Clause #49 (by clausification #[48]): False
% 3.52/3.79 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------