TSTP Solution File: SYO371^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO371^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n027.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 09:04:11 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (   2 unt;   1 typ;   0 def)
%            Number of atoms       :  169 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  131 (  49   ~;  44   |;   1   &;  22   @)
%                                         (   7 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   8 con; 0-2 aty)
%            Number of variables   :   13 (   2   ^  10   !;   0   ?;  13   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_7,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f89,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f28,f32,f50,f84,f87]) ).

thf(f87,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f86]) ).

thf(f86,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f85]) ).

thf(f85,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f14,f27]) ).

thf(f27,plain,
    ( ( cQ = $false )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f25]) ).

thf(f25,plain,
    ( spl0_4
  <=> ( cQ = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f14,plain,
    ( ( cQ = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f12]) ).

thf(f12,plain,
    ( spl0_1
  <=> ( cQ = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f84,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f83]) ).

thf(f83,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f82]) ).

thf(f82,plain,
    ( ( $true != $true )
    | ( $true = $false )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(beta_eta_normalization,[],[f58]) ).

thf(f58,plain,
    ( ( ( ^ [Y0: $o] : Y0
        @ $true )
     != $true )
    | ( ( ^ [Y0: $o] : Y0
        @ $false )
      = $true )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(primitive_instantiation,[],[f54]) ).

thf(f54,plain,
    ( ! [X0: $o > $o] :
        ( ( ( X0 @ $true )
         != $true )
        | ( $true
          = ( X0 @ $false ) ) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f53,f27]) ).

thf(f53,plain,
    ( ! [X0: $o > $o] :
        ( ( ( X0 @ $true )
         != $true )
        | ( ( X0 @ cQ )
          = $true ) )
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f8,f18]) ).

thf(f18,plain,
    ( ( cP = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f16]) ).

thf(f16,plain,
    ( spl0_2
  <=> ( cP = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f8,plain,
    ! [X0: $o > $o] :
      ( ( ( X0 @ cP )
       != $true )
      | ( ( X0 @ cQ )
        = $true ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ! [X0: $o > $o] :
        ( ( ( X0 @ cQ )
          = $true )
        | ( ( X0 @ cP )
         != $true ) )
    & ( cP != cQ ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ! [X0: $o > $o] :
          ( ( ( X0 @ cP )
            = $true )
         => ( ( X0 @ cQ )
            = $true ) )
     => ( cP = cQ ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ! [X0: $o > $o] :
          ( ( X0 @ cP )
         => ( X0 @ cQ ) )
     => ( cQ
      <=> cP ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: $o > $o] :
          ( ( X0 @ cP )
         => ( X0 @ cQ ) )
     => ( cQ
      <=> cP ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ! [X0: $o > $o] :
        ( ( X0 @ cP )
       => ( X0 @ cQ ) )
   => ( cQ
    <=> cP ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_O_LEIB) ).

thf(f50,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f49]) ).

thf(f49,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f36]) ).

thf(f36,plain,
    ( ( $true = $false )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(leibniz_equality_elimination,[],[f33]) ).

thf(f33,plain,
    ( ! [X0: $o > $o] :
        ( ( $true
         != ( X0 @ $false ) )
        | ( ( X0 @ $true )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f29,f14]) ).

thf(f29,plain,
    ( ! [X0: $o > $o] :
        ( ( $true
         != ( X0 @ $false ) )
        | ( ( X0 @ cQ )
          = $true ) )
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f8,f23]) ).

thf(f23,plain,
    ( ( cP = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f21]) ).

thf(f21,plain,
    ( spl0_3
  <=> ( cP = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f32,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

thf(f31,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f30]) ).

thf(f30,plain,
    ( ( $true = $false )
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f18,f23]) ).

thf(f28,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f10,f25,f21]) ).

thf(f10,plain,
    ( ( cQ = $false )
    | ( cP = $false ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f7,plain,
    cP != cQ,
    inference(cnf_transformation,[],[f6]) ).

thf(f19,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f16,f12]) ).

thf(f9,plain,
    ( ( cP = $true )
    | ( cQ = $true ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYO371^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % 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
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 20 09:42:22 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.34  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
% 0.12/0.35  ipcrm: permission denied for id (791740416)
% 0.12/0.36  ipcrm: permission denied for id (791773186)
% 0.12/0.36  ipcrm: permission denied for id (791904265)
% 0.12/0.36  ipcrm: permission denied for id (791937034)
% 0.12/0.37  ipcrm: permission denied for id (792035342)
% 0.12/0.38  ipcrm: permission denied for id (792100886)
% 0.12/0.39  ipcrm: permission denied for id (792166432)
% 0.12/0.39  ipcrm: permission denied for id (792199202)
% 0.12/0.40  ipcrm: permission denied for id (792264742)
% 0.20/0.41  ipcrm: permission denied for id (792297526)
% 0.20/0.42  ipcrm: permission denied for id (792330298)
% 0.20/0.42  ipcrm: permission denied for id (792395841)
% 0.20/0.45  ipcrm: permission denied for id (792526935)
% 0.20/0.45  ipcrm: permission denied for id (792559706)
% 0.20/0.48  ipcrm: permission denied for id (792690803)
% 0.20/0.51  % (19917)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.20/0.51  % (19916)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
% 0.20/0.51  % (19911)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.20/0.51  % (19917)First to succeed.
% 0.20/0.51  % (19911)Also succeeded, but the first one will report.
% 0.20/0.51  % (19917)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (19917)------------------------------
% 0.20/0.51  % (19917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51  % (19917)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (19917)Memory used [KB]: 5500
% 0.20/0.51  % (19917)Time elapsed: 0.005 s
% 0.20/0.51  % (19917)Instructions burned: 3 (million)
% 0.20/0.51  % (19917)------------------------------
% 0.20/0.51  % (19917)------------------------------
% 0.20/0.51  % (19775)Success in time 0.164 s
% 0.20/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------