TSTP Solution File: SEU923^5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU923^5 : 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 : n028.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 04:07:03 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   29 (   5 unt;  15 typ;   0 def)
%            Number of atoms       :   71 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   37 (  14   ~;   5   |;   8   &;   0   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   19 (  18   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   3 con; 0-6 aty)
%            Number of variables   :   33 (   0   ^  21   !;   6   ?;  33   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    b: $tType ).

thf(type_def_6,type,
    a: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    b: $tType ).

thf(func_def_1,type,
    a: $tType ).

thf(func_def_2,type,
    cF: b > a ).

thf(func_def_6,type,
    sK0: b ).

thf(func_def_7,type,
    sK1: b ).

thf(func_def_8,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_9,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

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

thf(func_def_12,type,
    vIMP: $o > $o > $o ).

thf(func_def_13,type,
    vNOT: $o > $o ).

thf(func_def_14,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f48,plain,
    $false,
    inference(trivial_inequality_removal,[],[f47]) ).

thf(f47,plain,
    sK0 != sK0,
    inference(superposition,[],[f12,f45]) ).

thf(f45,plain,
    sK0 = sK1,
    inference(equality_resolution,[],[f41]) ).

thf(f41,plain,
    ! [X0: b] :
      ( ( vAPP(b,a,cF,X0) != vAPP(b,a,cF,sK0) )
      | ( sK1 = X0 ) ),
    inference(superposition,[],[f10,f11]) ).

thf(f11,plain,
    vAPP(b,a,cF,sK0) = vAPP(b,a,cF,sK1),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ( ( sK0 != sK1 )
    & ( vAPP(b,a,cF,sK0) = vAPP(b,a,cF,sK1) )
    & ! [X2: b,X3: b] :
        ( ( X2 = X3 )
        | ( vAPP(b,a,cF,X2) != vAPP(b,a,cF,X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).

thf(f8,plain,
    ( ? [X0: b,X1: b] :
        ( ( X0 != X1 )
        & ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) ) )
   => ( ( sK0 != sK1 )
      & ( vAPP(b,a,cF,sK0) = vAPP(b,a,cF,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ( ? [X0: b,X1: b] :
        ( ( X0 != X1 )
        & ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) ) )
    & ! [X2: b,X3: b] :
        ( ( X2 = X3 )
        | ( vAPP(b,a,cF,X2) != vAPP(b,a,cF,X3) ) ) ),
    inference(rectify,[],[f6]) ).

thf(f6,plain,
    ( ? [X2: b,X3: b] :
        ( ( X2 != X3 )
        & ( vAPP(b,a,cF,X2) = vAPP(b,a,cF,X3) ) )
    & ! [X0: b,X1: b] :
        ( ( X0 = X1 )
        | ( vAPP(b,a,cF,X0) != vAPP(b,a,cF,X1) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ! [X0: b,X1: b] :
          ( ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) )
         => ( X0 = X1 ) )
     => ! [X2: b,X3: b] :
          ( ( vAPP(b,a,cF,X2) = vAPP(b,a,cF,X3) )
         => ( X2 = X3 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: b,X1: b] :
          ( ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) )
         => ( X0 = X1 ) )
     => ! [X0: b,X1: b] :
          ( ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) )
         => ( X0 = X1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ! [X0: b,X1: b] :
        ( ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) )
       => ( X0 = X1 ) )
   => ! [X0: b,X1: b] :
        ( ( vAPP(b,a,cF,X0) = vAPP(b,a,cF,X1) )
       => ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM54_pme) ).

thf(f10,plain,
    ! [X2: b,X3: b] :
      ( ( vAPP(b,a,cF,X2) != vAPP(b,a,cF,X3) )
      | ( X2 = X3 ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f12,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU923^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 15:53:07 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (10360)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (10362)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (10365)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36  % (10364)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (10366)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36  % Exception at run slice level% Exception at run slice level
% 0.13/0.36  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36  
% 0.13/0.36  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36  % (10367)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)
% 0.13/0.37  % (10367)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37  % (10366)First to succeed.
% 0.13/0.37  % (10365)Also succeeded, but the first one will report.
% 0.13/0.37  % (10361)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (10366)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10360"
% 0.13/0.37  % Exception at run slice level
% 0.13/0.37  % (10367)Also succeeded, but the first one will report.
% 0.13/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37  % (10366)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (10366)------------------------------
% 0.13/0.37  % (10366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (10366)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (10366)Memory used [KB]: 768
% 0.13/0.37  % (10366)Time elapsed: 0.004 s
% 0.13/0.37  % (10366)Instructions burned: 4 (million)
% 0.13/0.37  % (10360)Success in time 0.006 s
%------------------------------------------------------------------------------