TSTP Solution File: SYO019^1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO019^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 09:09:58 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :  169 (  66 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :  110 (  47   ~;  32   |;  22   &)
%                                         (   7 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  144 (  96 fml;  48 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   :   18 (  10   !;   8   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o ).

tff(func_def_3,type,
    sK1: $o ).

tff(f34,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f30,f33]) ).

tff(f33,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f18,f22]) ).

tff(f22,plain,
    ( spl2_1
  <=> ( $true = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f18,plain,
    $true = sK0,
    inference(duplicate_literal_removal,[],[f13]) ).

tff(f13,plain,
    ( ( $true = sK0 )
    | ( $true = sK0 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ( ( $true != sK1 )
      | ( $true != sK0 )
      | ( $true != sK1 )
      | ( $true != sK0 ) )
    & ( ( ( $true = sK1 )
        & ( $true = sK0 ) )
      | ( ( $true = sK1 )
        & ( $true = sK0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).

tff(f11,plain,
    ( ? [X0: $o,X1: $o] :
        ( ( ( $true != (X1) )
          | ( $true != (X0) )
          | ( $true != (X1) )
          | ( $true != (X0) ) )
        & ( ( ( $true = (X1) )
            & ( $true = (X0) ) )
          | ( ( $true = (X1) )
            & ( $true = (X0) ) ) ) )
   => ( ( ( $true != sK1 )
        | ( $true != sK0 )
        | ( $true != sK1 )
        | ( $true != sK0 ) )
      & ( ( ( $true = sK1 )
          & ( $true = sK0 ) )
        | ( ( $true = sK1 )
          & ( $true = sK0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

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

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

tff(f30,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f19,f26]) ).

tff(f26,plain,
    ( spl2_2
  <=> ( $true = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f19,plain,
    $true = sK1,
    inference(duplicate_literal_removal,[],[f16]) ).

tff(f16,plain,
    ( ( $true = sK1 )
    | ( $true = sK1 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f29,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f20,f26,f22]) ).

tff(f20,plain,
    ( ( $true != sK1 )
    | ( $true != sK0 ) ),
    inference(duplicate_literal_removal,[],[f17]) ).

tff(f17,plain,
    ( ( $true != sK1 )
    | ( $true != sK0 )
    | ( $true != sK1 )
    | ( $true != sK0 ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO019^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n010.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   : Mon May 20 09:07:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (27604)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (27606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (27608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (27607)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (27609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (27610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (27605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (27611)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [4]
% 0.15/0.38  Detected maximum model sizes of [4]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (27610)First to succeed.
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  % (27609)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected maximum model sizes of [4]
% 0.15/0.38  % (27607)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  % (27610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27604"
% 0.15/0.38  Detected maximum model sizes of [4]
% 0.15/0.38  % (27606)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  % (27608)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [2]
% 0.15/0.38  % (27605)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (27610)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (27610)------------------------------
% 0.15/0.38  % (27610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (27610)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (27610)Memory used [KB]: 731
% 0.15/0.38  % (27610)Time elapsed: 0.003 s
% 0.15/0.38  % (27610)Instructions burned: 3 (million)
% 0.15/0.38  % (27604)Success in time 0.006 s
%------------------------------------------------------------------------------