TSTP Solution File: SYO252^5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO252^5 : 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 : n029.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 09:10:45 EDT 2024

% Result   : Theorem 0.22s 0.37s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  14 unt;   9 typ;   0 def)
%            Number of atoms       :   48 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   28 (  27   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   3 con; 0-6 aty)
%            Number of variables   :   24 (   0   ^  11   !;   7   ?;  24   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

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

thf(func_def_3,type,
    sK0: $o ).

thf(func_def_4,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_5,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_6,type,
    vAND: $o > $o > $o ).

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

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

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

thf(func_def_10,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f29,plain,
    $false,
    inference(trivial_inequality_removal,[],[f28]) ).

thf(f28,plain,
    $true = $false,
    inference(forward_demodulation,[],[f25,f19]) ).

thf(f19,plain,
    $false = sK0,
    inference(not_proxy_clausification,[],[f18]) ).

thf(f18,plain,
    $true = vAPP($o,$o,vNOT,sK0),
    inference(primitive_instantiation,[],[f11]) ).

thf(f11,plain,
    ! [X1: $o > $o] : ( $true = vAPP($o,$o,X1,sK0) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ! [X1: $o > $o] : ( $true = vAPP($o,$o,X1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).

thf(f9,plain,
    ( ? [X0: $o] :
      ! [X1: $o > $o] : ( vAPP($o,$o,X1,X0) = $true )
   => ! [X1: $o > $o] : ( $true = vAPP($o,$o,X1,sK0) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: $o] :
    ! [X1: $o > $o] : ( vAPP($o,$o,X1,X0) = $true ),
    inference(ennf_transformation,[],[f7]) ).

thf(f7,plain,
    ~ ! [X0: $o] :
      ? [X1: $o > $o] : ( vAPP($o,$o,X1,X0) != $true ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ~ ! [X0: $o] :
      ? [X1: $o > $o] : ( vAPP($o,$o,X1,X0) != $true ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: $o] :
      ? [X1: $o > $o] : ~ vAPP($o,$o,X1,X0),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X0: $o] :
      ? [X1: $o > $o] : ~ vAPP($o,$o,X1,X0),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X0: $o] :
    ? [X1: $o > $o] : ~ vAPP($o,$o,X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM123B) ).

thf(f25,plain,
    $true = sK0,
    inference(binary_proxy_clausification,[],[f12]) ).

thf(f12,plain,
    ! [X0: $o] : ( $true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,X0),sK0) ),
    inference(primitive_instantiation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO252^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 09:10:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (31901)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (31902)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (31903)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (31904)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)
% 0.14/0.37  % (31905)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (31906)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (31907)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (31908)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)
% 0.14/0.37  % (31904)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37  % (31905)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37  % Exception at run slice level
% 0.14/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.37  % (31904)Also succeeded, but the first one will report.
% 0.22/0.37  % (31906)First to succeed.
% 0.22/0.37  % (31906)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31901"
% 0.22/0.37  % (31907)Also succeeded, but the first one will report.
% 0.22/0.37  % (31906)Refutation found. Thanks to Tanya!
% 0.22/0.37  % SZS status Theorem for theBenchmark
% 0.22/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.37  % (31906)------------------------------
% 0.22/0.37  % (31906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.37  % (31906)Termination reason: Refutation
% 0.22/0.37  
% 0.22/0.37  % (31906)Memory used [KB]: 749
% 0.22/0.37  % (31906)Time elapsed: 0.004 s
% 0.22/0.37  % (31906)Instructions burned: 3 (million)
% 0.22/0.37  % (31901)Success in time 0.018 s
%------------------------------------------------------------------------------