TSTP Solution File: SYO365^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 : Tue May 21 09:04:09 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :  135 (  33 equ;   0 cnn)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :   82 (  34   ~;  12   |;   5   &;  20   @)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_1,type,
    cC: $o > $o ).

thf(f46,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f44,f45]) ).

thf(f45,plain,
    ( spl2_2
    | spl2_1 ),
    inference(avatar_split_clause,[],[f24,f36,f40]) ).

thf(f40,plain,
    ( spl2_2
  <=> ( ( cC @ cA )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

thf(f36,plain,
    ( spl2_1
  <=> ( cEXT2 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

thf(f24,plain,
    ( ( ( cC @ cA )
      = $true )
    | ( cEXT2 = $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f16,plain,
    ( ( ( cEXT2 = $true )
      | ( ( ( cC
            @ ~ ~ cA )
         != $true )
        & ( ( cC @ cA )
          = $true ) ) )
    & ( ( ( cC
          @ ~ ~ cA )
        = $true )
      | ( ( cC @ cA )
       != $true )
      | ( cEXT2 != $true ) ) ),
    inference(flattening,[],[f15]) ).

thf(f15,plain,
    ( ( ( cEXT2 = $true )
      | ( ( ( cC
            @ ~ ~ cA )
         != $true )
        & ( ( cC @ cA )
          = $true ) ) )
    & ( ( ( cC
          @ ~ ~ cA )
        = $true )
      | ( ( cC @ cA )
       != $true )
      | ( cEXT2 != $true ) ) ),
    inference(nnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( ( cEXT2 = $true )
  <=> ( ( ( cC
          @ ~ ~ cA )
        = $true )
      | ( ( cC @ cA )
       != $true ) ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ( ( ( cC @ cA )
        = $true )
     => ( ( cC
          @ ~ ~ cA )
        = $true ) )
  <=> ( cEXT2 = $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    ( ( cEXT2
      = ( cC @ cA ) )
   => ( cC
      @ ~ ~ cA ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( ( cEXT2
      = ( cC @ cA ) )
   => ( cC
      @ ~ ~ cA ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2_def) ).

thf(f44,plain,
    ~ spl2_1,
    inference(avatar_split_clause,[],[f21,f36]) ).

thf(f21,plain,
    cEXT2 != $true,
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ( ( cEXT_eq_0 = $true )
    & ( cEXT2 != $true ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ~ ( ( cEXT_eq_0 = $true )
     => ( cEXT2 = $true ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ~ ( cEXT_eq_0
     => cEXT2 ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ( cEXT_eq_0
     => cEXT2 ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ( cEXT_eq_0
   => cEXT2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT2A) ).

thf(f43,plain,
    ( spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f34,f40,f36]) ).

thf(f34,plain,
    ( ( cEXT2 = $true )
    | ( ( cC @ cA )
     != $true ) ),
    inference(boolean_simplification,[],[f25]) ).

thf(f25,plain,
    ( ( cEXT2 = $true )
    | ( ( cC
        @ ~ ~ cA )
     != $true ) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 08:56:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_EQU_NAR problem
% 0.15/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38  % (5545)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38  % (5545)First to succeed.
% 0.15/0.39  % (5545)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (5545)------------------------------
% 0.15/0.39  % (5545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (5545)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (5545)Memory used [KB]: 5500
% 0.15/0.39  % (5545)Time elapsed: 0.003 s
% 0.15/0.39  % (5545)Instructions burned: 1 (million)
% 0.15/0.39  % (5545)------------------------------
% 0.15/0.39  % (5545)------------------------------
% 0.15/0.39  % (5538)Success in time 0.002 s
% 0.15/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------