TSTP Solution File: SYO347^5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO347^5 : 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 : n019.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 09:10:58 EDT 2024

% Result   : Theorem 0.16s 0.39s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   22 (   5 unt;  11 typ;   0 def)
%            Number of atoms       :   85 (  16 equ;   0 cnn)
%            Maximal formula atoms :    3 (   7 avg)
%            Number of connectives :   28 (  16   ~;  10   |;   2   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  21   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   2 con; 0-6 aty)
%            Number of variables   :    6 (   0   ^   0   !;   0   ?;   6   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

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

thf(func_def_0,type,
    cD: $i > $o ).

thf(func_def_1,type,
    cR: ( $i > $o ) > $o ).

thf(func_def_2,type,
    cC: $i > $o ).

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

thf(func_def_7,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

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

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

thf(func_def_11,type,
    vNOT: $o > $o ).

thf(func_def_12,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f11]) ).

thf(f11,plain,
    vAPP(sTfun($i,$o),$o,cR,cD) != $true,
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( vAPP(sTfun($i,$o),$o,cR,cD) != $true )
    & ( vAPP(sTfun($i,$o),$o,cR,cC) = $true )
    & ( cC = cD ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ~ ( ( vAPP(sTfun($i,$o),$o,cR,cD) = $true )
      | ( vAPP(sTfun($i,$o),$o,cR,cC) != $true )
      | ( cC != cD ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ~ ( ( vAPP(sTfun($i,$o),$o,cR,cD) = $true )
      | ( vAPP(sTfun($i,$o),$o,cR,cC) != $true )
      | ( cC != cD ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ( vAPP(sTfun($i,$o),$o,cR,cD)
      | ~ vAPP(sTfun($i,$o),$o,cR,cC)
      | ( cC != cD ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( vAPP(sTfun($i,$o),$o,cR,cD)
      | ~ vAPP(sTfun($i,$o),$o,cR,cC)
      | ( cC != cD ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( vAPP(sTfun($i,$o),$o,cR,cD)
    | ~ vAPP(sTfun($i,$o),$o,cR,cC)
    | ( cC != cD ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM620) ).

thf(f12,plain,
    vAPP(sTfun($i,$o),$o,cR,cD) = $true,
    inference(forward_demodulation,[],[f10,f9]) ).

thf(f9,plain,
    cC = cD,
    inference(cnf_transformation,[],[f8]) ).

thf(f10,plain,
    vAPP(sTfun($i,$o),$o,cR,cC) = $true,
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO347^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 10:36:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  % (32192)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (32199)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.39  % (32199)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.39  % (32199)First to succeed.
% 0.16/0.39  % (32199)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32192"
% 0.16/0.39  % (32199)Refutation found. Thanks to Tanya!
% 0.16/0.39  % SZS status Theorem for theBenchmark
% 0.16/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39  % (32199)------------------------------
% 0.16/0.39  % (32199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39  % (32199)Termination reason: Refutation
% 0.16/0.39  
% 0.16/0.39  % (32199)Memory used [KB]: 748
% 0.16/0.39  % (32199)Time elapsed: 0.003 s
% 0.16/0.39  % (32199)Instructions burned: 2 (million)
% 0.16/0.39  % (32192)Success in time 0.019 s
%------------------------------------------------------------------------------