TSTP Solution File: SYN073+1 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN073+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n008.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 : Fri Sep  1 02:10:28 EDT 2023

% Result   : Theorem 5.66s 5.94s
% Output   : Proof 5.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN073+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat Aug 26 21:11:02 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 5.66/5.94  SZS status Theorem for theBenchmark.p
% 5.66/5.94  SZS output start Proof for theBenchmark.p
% 5.66/5.94  Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), Or (big_f a X) (∀ (Y : Iota), big_f X Y)) → Exists fun X1 => ∀ (Y1 : Iota), big_f X1 Y1)) True
% 5.66/5.94  Clause #1 (by clausification #[0]): Eq ((∀ (X : Iota), Or (big_f a X) (∀ (Y : Iota), big_f X Y)) → Exists fun X1 => ∀ (Y1 : Iota), big_f X1 Y1) False
% 5.66/5.94  Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), Or (big_f a X) (∀ (Y : Iota), big_f X Y)) True
% 5.66/5.94  Clause #3 (by clausification #[1]): Eq (Exists fun X1 => ∀ (Y1 : Iota), big_f X1 Y1) False
% 5.66/5.94  Clause #4 (by clausification #[2]): ∀ (a_1 : Iota), Eq (Or (big_f a a_1) (∀ (Y : Iota), big_f a_1 Y)) True
% 5.66/5.94  Clause #5 (by clausification #[4]): ∀ (a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq (∀ (Y : Iota), big_f a_1 Y) True)
% 5.66/5.94  Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota), Or (Eq (big_f a a_1) True) (Eq (big_f a_1 a_2) True)
% 5.66/5.94  Clause #12 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y1 : Iota), big_f a Y1) False
% 5.66/5.94  Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Not (big_f a (skS.0 0 a a_1))) True
% 5.66/5.94  Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (big_f a (skS.0 0 a a_1)) False
% 5.66/5.94  Clause #15 (by superposition #[14, 6]): ∀ (a_1 : Iota), Or (Eq (big_f a a_1) True) (Eq False True)
% 5.66/5.94  Clause #16 (by clausification #[15]): ∀ (a_1 : Iota), Eq (big_f a a_1) True
% 5.66/5.94  Clause #17 (by superposition #[16, 14]): Eq True False
% 5.66/5.94  Clause #18 (by clausification #[17]): False
% 5.66/5.94  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------