TSTP Solution File: GEO086+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n004.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 : Wed Aug 30 22:55:00 EDT 2023

% Result   : Theorem 4.01s 4.32s
% Output   : Proof 4.01s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : duper %s
% 0.14/0.35  % Computer : n004.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   : Tue Aug 29 23:06:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 4.01/4.32  SZS status Theorem for theBenchmark.p
% 4.01/4.32  SZS output start Proof for theBenchmark.p
% 4.01/4.32  Clause #7 (by assumption #[]): Eq (∀ (C C1 : Iota), And (part_of C1 C) (Ne C1 C) → open C1) True
% 4.01/4.32  Clause #16 (by assumption #[]): Eq (Not (∀ (C Cpp : Iota), And (open C) (part_of Cpp C) → open Cpp)) True
% 4.01/4.32  Clause #17 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C1 : Iota), And (part_of C1 a) (Ne C1 a) → open C1) True
% 4.01/4.32  Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (And (part_of a a_1) (Ne a a_1) → open a) True
% 4.01/4.32  Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (And (part_of a a_1) (Ne a a_1)) False) (Eq (open a) True)
% 4.01/4.32  Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (open a) True) (Or (Eq (part_of a a_1) False) (Eq (Ne a a_1) False))
% 4.01/4.32  Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (open a) True) (Or (Eq (part_of a a_1) False) (Eq a a_1))
% 4.01/4.32  Clause #22 (by clausification #[16]): Eq (∀ (C Cpp : Iota), And (open C) (part_of Cpp C) → open Cpp) False
% 4.01/4.32  Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Not (∀ (Cpp : Iota), And (open (skS.0 0 a)) (part_of Cpp (skS.0 0 a)) → open Cpp)) True
% 4.01/4.32  Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (Cpp : Iota), And (open (skS.0 0 a)) (part_of Cpp (skS.0 0 a)) → open Cpp) False
% 4.01/4.32  Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Not (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a)) → open (skS.0 1 a a_1))) True
% 4.01/4.32  Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a)) → open (skS.0 1 a a_1)) False
% 4.01/4.32  Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (And (open (skS.0 0 a)) (part_of (skS.0 1 a a_1) (skS.0 0 a))) True
% 4.01/4.32  Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (open (skS.0 1 a a_1)) False
% 4.01/4.32  Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (part_of (skS.0 1 a a_1) (skS.0 0 a)) True
% 4.01/4.32  Clause #30 (by clausification #[27]): ∀ (a : Iota), Eq (open (skS.0 0 a)) True
% 4.01/4.32  Clause #31 (by superposition #[29, 21]): ∀ (a a_1 : Iota), Or (Eq (open (skS.0 1 a a_1)) True) (Or (Eq True False) (Eq (skS.0 1 a a_1) (skS.0 0 a)))
% 4.01/4.32  Clause #243 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (open (skS.0 1 a a_1)) True) (Eq (skS.0 1 a a_1) (skS.0 0 a))
% 4.01/4.32  Clause #244 (by superposition #[243, 28]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 a a_1) (skS.0 0 a)) (Eq True False)
% 4.01/4.32  Clause #258 (by clausification #[244]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) (skS.0 0 a)
% 4.01/4.32  Clause #260 (by backward demodulation #[258, 28]): ∀ (a : Iota), Eq (open (skS.0 0 a)) False
% 4.01/4.32  Clause #265 (by superposition #[260, 30]): Eq False True
% 4.01/4.32  Clause #319 (by clausification #[265]): False
% 4.01/4.32  SZS output end Proof for theBenchmark.p
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