↑ Up

Z3---4.15.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYO561_1 : TPTP v9.0.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat Jun 21 05:41:53 AM UTC 2025

% Result   : Theorem 0.17s 0.34s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   0   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(microsoft_type,type,
    microsoft: company ).

tff(apple_type,type,
    apple: company ).

tff(1,plain,
    ( ~ ( ( apple != microsoft ) )
  <=> ( apple = microsoft ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    ~ ( ( apple != microsoft ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apple_not_microsoft) ).

tff(3,plain,
    apple = microsoft,
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( $distinct(apple,microsoft)
  <=> ( apple != microsoft ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(5,axiom,
    $distinct(apple,microsoft),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_companies) ).

tff(6,plain,
    apple != microsoft,
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    $false,
    inference(unit_resolution,[status(thm)],[6,3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SYO561_1 : TPTP v9.0.0. Released v5.3.0.
% 0.03/0.10  % Command    : run_E %s %d THM
% 0.09/0.31  % Computer : n013.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Fri Jun 20 13:11:38 EDT 2025
% 0.09/0.31  % CPUTime    : 
% 0.17/0.34  % SZS status Theorem
% 0.17/0.34  % SZS output start Proof
% See solution above
% 0.17/0.34  % E exiting
%------------------------------------------------------------------------------