TSTP Solution File: SYO183^5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO183^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 09:10:31 EDT 2024

% Result   : Theorem 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   44 (   9 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   16 (  12   ~;   3   |;   0   &;   0   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   24 (  23   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   4 con; 0-6 aty)
%            Number of variables   :   16 (   0   ^   6   !;   4   ?;  16   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    a: $o ).

thf(func_def_5,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_6,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_7,type,
    vAND: $o > $o > $o ).

thf(func_def_8,type,
    vOR: $o > $o > $o ).

thf(func_def_9,type,
    vIMP: $o > $o > $o ).

thf(func_def_10,type,
    vNOT: $o > $o ).

thf(func_def_11,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f107,plain,
    $false,
    inference(avatar_sat_refutation,[],[f65,f93]) ).

thf(f93,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f92]) ).

thf(f92,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f91]) ).

thf(f91,plain,
    ( ( $false != $false )
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f58]) ).

thf(f58,plain,
    ( ! [X0: $o] : ( $false = X0 )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

thf(f57,plain,
    ( spl0_1
  <=> ! [X0: $o] : ( $false = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f3,plain,
    $true != $false,
    introduced(fool_axiom,[]) ).

thf(f65,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f54,f57]) ).

thf(f54,plain,
    ! [X0: $o] : ( $false = X0 ),
    inference(binary_proxy_clausification,[],[f38]) ).

thf(f38,plain,
    ! [X0: $o] : ( $true != vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,X0),a) ),
    inference(primitive_instantiation,[],[f8]) ).

thf(f8,plain,
    ! [X0: $o > $o] : ( vAPP($o,$o,X0,a) != $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: $o > $o] : ( vAPP($o,$o,X0,a) != $true ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ? [X0: $o > $o] : ( vAPP($o,$o,X0,a) = $true ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ? [X0: $o > $o] : vAPP($o,$o,X0,a),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ? [X0: $o > $o] : vAPP($o,$o,X0,a),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ? [X0: $o > $o] : vAPP($o,$o,X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SYO183^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon May 20 08:46:22 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.32  % (29929)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33  % (29931)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33  % Exception at run slice level
% 0.11/0.33  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.33  % (29930)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.33  % Exception at run slice level
% 0.11/0.33  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.33  % (29935)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33  % (29936)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)
% 0.11/0.33  % Exception at run slice level
% 0.11/0.33  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.33  % (29935)First to succeed.
% 0.11/0.34  % (29935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29929"
% 0.11/0.34  % (29937)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (29935)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Theorem for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (29935)------------------------------
% 0.11/0.34  % (29935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34  % (29935)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (29935)Memory used [KB]: 779
% 0.11/0.34  % (29935)Time elapsed: 0.004 s
% 0.11/0.34  % (29935)Instructions burned: 4 (million)
% 0.11/0.34  % (29929)Success in time 0.017 s
%------------------------------------------------------------------------------