TSTP Solution File: SYO021^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO021^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n023.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 09:02:15 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  188 (  77 equ)
%            Maximal formula atoms :   16 (   8 avg)
%            Number of connectives :  118 (  51   ~;  36   |;  25   &)
%                                         (   4 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  163 ( 107 fml;  56 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   20 (  10   !;  10   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f35,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f33,f34]) ).

tff(f34,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f19,f27]) ).

tff(f27,plain,
    ( spl2_2
  <=> ( $true = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f19,plain,
    $true = sK0,
    inference(duplicate_literal_removal,[],[f15]) ).

tff(f15,plain,
    ( ( $true = sK0 )
    | ( $true = sK0 ) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ( ( $true != sK1 )
      | ( $true != sK0 )
      | ( $true != sK0 )
      | ( $true != sK1 ) )
    & ( ( ( $true = sK1 )
        & ( $true = sK0 ) )
      | ( ( $true = sK0 )
        & ( $true = sK1 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12]) ).

tff(f12,plain,
    ( ? [X0: $o,X1: $o] :
        ( ( ( $true != (X1) )
          | ( $true != (X0) )
          | ( $true != (X0) )
          | ( $true != (X1) ) )
        & ( ( ( $true = (X1) )
            & ( $true = (X0) ) )
          | ( ( $true = (X0) )
            & ( $true = (X1) ) ) ) )
   => ( ( ( $true != sK1 )
        | ( $true != sK0 )
        | ( $true != sK0 )
        | ( $true != sK1 ) )
      & ( ( ( $true = sK1 )
          & ( $true = sK0 ) )
        | ( ( $true = sK0 )
          & ( $true = sK1 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f11,plain,
    ? [X0: $o,X1: $o] :
      ( ( ( $true != (X1) )
        | ( $true != (X0) )
        | ( $true != (X0) )
        | ( $true != (X1) ) )
      & ( ( ( $true = (X1) )
          & ( $true = (X0) ) )
        | ( ( $true = (X0) )
          & ( $true = (X1) ) ) ) ),
    inference(rectify,[],[f10]) ).

tff(f10,plain,
    ? [X1: $o,X0: $o] :
      ( ( ( $true != (X0) )
        | ( $true != (X1) )
        | ( $true != (X1) )
        | ( $true != (X0) ) )
      & ( ( ( $true = (X0) )
          & ( $true = (X1) ) )
        | ( ( $true = (X1) )
          & ( $true = (X0) ) ) ) ),
    inference(flattening,[],[f9]) ).

tff(f9,plain,
    ? [X1: $o,X0: $o] :
      ( ( ( $true != (X0) )
        | ( $true != (X1) )
        | ( $true != (X1) )
        | ( $true != (X0) ) )
      & ( ( ( $true = (X0) )
          & ( $true = (X1) ) )
        | ( ( $true = (X1) )
          & ( $true = (X0) ) ) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f8,plain,
    ? [X1: $o,X0: $o] :
      ( ( ( $true = (X1) )
        & ( $true = (X0) ) )
    <~> ( ( $true = (X0) )
        & ( $true = (X1) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( ( $true = (X0) )
          & ( $true = (X1) ) )
      <=> ~ ( ( $true != (X0) )
            | ( $true != (X1) ) ) ),
    inference(flattening,[],[f6]) ).

tff(f6,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( ( $true = (X0) )
          & ( $true = (X1) ) )
      <=> ~ ( ( $true != (X0) )
            | ( $true != (X1) ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: $o,X1: $o] :
        ( (X1)
        & ( (X0)
          = ( ~ ( ~ (X0)
                | ~ (X1) ) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X1: $o,X0: $o] :
        ( (X0)
        & ( (X1)
          = ( ~ ( ~ (X1)
                | ~ (X0) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X1: $o,X0: $o] :
      ( (X0)
      & ( (X1)
        = ( ~ ( ~ (X1)
              | ~ (X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

tff(f33,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f20,f23]) ).

tff(f23,plain,
    ( spl2_1
  <=> ( $true = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f20,plain,
    $true = sK1,
    inference(duplicate_literal_removal,[],[f16]) ).

tff(f16,plain,
    ( ( $true = sK1 )
    | ( $true = sK1 ) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f31,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f21,f27,f23]) ).

tff(f21,plain,
    ( ( $true != sK0 )
    | ( $true != sK1 ) ),
    inference(duplicate_literal_removal,[],[f18]) ).

tff(f18,plain,
    ( ( $true != sK1 )
    | ( $true != sK1 )
    | ( $true != sK0 )
    | ( $true != sK0 ) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO021^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 09:36:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  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
% 0.14/0.37  % (17609)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (17609)First to succeed.
% 0.14/0.37  % (17607)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.14/0.37  % (17608)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.14/0.37  % (17606)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (17610)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (17611)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 (3000ds/275Mi)
% 0.14/0.37  % (17612)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (17613)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.37  % (17607)Also succeeded, but the first one will report.
% 0.14/0.37  % (17609)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (17609)------------------------------
% 0.14/0.37  % (17609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (17609)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (17609)Memory used [KB]: 5500
% 0.14/0.37  % (17609)Time elapsed: 0.003 s
% 0.14/0.37  % (17609)Instructions burned: 1 (million)
% 0.14/0.37  % (17609)------------------------------
% 0.14/0.37  % (17609)------------------------------
% 0.14/0.37  % (17605)Success in time 0.004 s
% 0.14/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------