TSTP Solution File: SYN340+1 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN340+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n020.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 02:11:16 EDT 2023

% Result   : Theorem 3.51s 3.74s
% Output   : Proof 3.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN340+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 16:52:14 EDT 2023
% 0.22/0.36  % CPUTime    : 
% 3.51/3.74  SZS status Theorem for theBenchmark.p
% 3.51/3.74  SZS output start Proof for theBenchmark.p
% 3.51/3.74  Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f X Y Z1 Z2 Z1 → big_f Z1 X Y Z1 Z2)) True
% 3.51/3.74  Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f X Y Z1 Z2 Z1 → big_f Z1 X Y Z1 Z2) False
% 3.51/3.74  Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f a Y Z1 Z2 Z1 → big_f Z1 a Y Z1 Z2) False
% 3.51/3.74  Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 3.51/3.74    Eq (Not (Exists fun Z1 => Exists fun Z2 => big_f a (skS.0 0 a a_1) Z1 Z2 Z1 → big_f Z1 a (skS.0 0 a a_1) Z1 Z2)) True
% 3.51/3.74  Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.51/3.74    Eq (Exists fun Z1 => Exists fun Z2 => big_f a (skS.0 0 a a_1) Z1 Z2 Z1 → big_f Z1 a (skS.0 0 a a_1) Z1 Z2) False
% 3.51/3.74  Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 3.51/3.74    Eq (Exists fun Z2 => big_f a (skS.0 0 a a_1) a_2 Z2 a_2 → big_f a_2 a (skS.0 0 a a_1) a_2 Z2) False
% 3.51/3.74  Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a a_1) a_2 a_3 a_2 → big_f a_2 a (skS.0 0 a a_1) a_2 a_3) False
% 3.51/3.74  Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a a_1) a_2 a_3 a_2) True
% 3.51/3.74  Clause #8 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a a_1 (skS.0 0 a_1 a_2) a a_3) False
% 3.51/3.74  Clause #9 (by superposition #[8, 7]): Eq False True
% 3.51/3.74  Clause #10 (by clausification #[9]): False
% 3.51/3.74  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------