TSTP Solution File: SYO232^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO232^5 : 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 : n002.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 09:10:42 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   23 (   4 unt;  13 typ;   0 def)
%            Number of atoms       :   78 (  18 equ;   0 cnn)
%            Maximal formula atoms :    4 (   7 avg)
%            Number of connectives :   27 (   9   ~;   2   |;   4   &;   0   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   19 (  18   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   5 con; 0-6 aty)
%            Number of variables   :   13 (   0   ^   3   !;   4   ?;  13   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

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

thf(func_def_1,type,
    cP: a > $o ).

thf(func_def_2,type,
    x: a ).

thf(func_def_3,type,
    cB: $o ).

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

thf(func_def_10,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

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

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

thf(func_def_14,type,
    vNOT: $o > $o ).

thf(func_def_15,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f14,plain,
    $false,
    inference(trivial_inequality_removal,[],[f13]) ).

thf(f13,plain,
    $true != $true,
    inference(superposition,[],[f11,f10]) ).

thf(f10,plain,
    vAPP(a,$o,cP,x) = $true,
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ! [X0: a] : ( vAPP(a,$o,cP,X0) != $true )
    & ( vAPP(a,$o,cP,x) = $true )
    & ( ( cB = $true )
      | ( y != y ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ! [X0: a] : ( vAPP(a,$o,cP,X0) != $true )
    & ( vAPP(a,$o,cP,x) = $true )
    & ( ( cB = $true )
      | ( y != y ) ) ),
    inference(ennf_transformation,[],[f6]) ).

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

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

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

thf(f1,conjecture,
    ( ( ( y = y )
     => cB )
   => ( vAPP(a,$o,cP,x)
     => ? [X0: a] : vAPP(a,$o,cP,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP4) ).

thf(f11,plain,
    ! [X0: a] : ( vAPP(a,$o,cP,X0) != $true ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 09:34:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (4952)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (4957)WARNING: value z3 for option sas not known
% 0.14/0.38  % (4957)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (4957)First to succeed.
% 0.14/0.38  % (4955)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (4957)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4952"
% 0.14/0.38  % (4958)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (4959)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)
% 0.14/0.38  % (4956)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (4960)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)
% 0.14/0.38  % (4961)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)
% 0.14/0.38  % Exception at run slice level
% 0.14/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38  % Exception at run slice level
% 0.14/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38  % (4961)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38  % Exception at run slice level
% 0.14/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38  % (4957)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (4957)------------------------------
% 0.14/0.38  % (4957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (4957)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (4957)Memory used [KB]: 740
% 0.14/0.38  % (4957)Time elapsed: 0.004 s
% 0.14/0.38  % (4957)Instructions burned: 3 (million)
% 0.14/0.38  % (4952)Success in time 0.017 s
%------------------------------------------------------------------------------