TSTP Solution File: SYO554^1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO554^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 09:13:38 EDT 2024

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :  137 (  26 equ;   0 cnn)
%            Maximal formula atoms :    2 (   6 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  18   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   5 con; 0-6 aty)
%            Number of variables   :    7 (   0   ^   1   !;   0   ?;   7   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_8,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

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

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

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

thf(func_def_13,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f52,plain,
    $false,
    inference(trivial_inequality_removal,[],[f50]) ).

thf(f50,plain,
    $true = $false,
    inference(backward_demodulation,[],[f19,f49]) ).

thf(f49,plain,
    vAPP($i,$o,p,t) = $false,
    inference(trivial_inequality_removal,[],[f48]) ).

thf(f48,plain,
    ( ( $true != $true )
    | ( vAPP($i,$o,p,t) = $false ) ),
    inference(superposition,[],[f17,f6]) ).

thf(f6,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f17,plain,
    vAPP($i,$o,p,t) != $true,
    inference(duplicate_literal_removal,[],[f16]) ).

thf(f16,plain,
    ( ( vAPP($i,$o,p,t) != $true )
    | ( vAPP($i,$o,p,t) != $true ) ),
    inference(forward_demodulation,[],[f14,f13]) ).

thf(f13,plain,
    t = u,
    inference(cnf_transformation,[],[f4]) ).

thf(f4,axiom,
    t = u,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tu) ).

thf(f14,plain,
    ( ( vAPP($i,$o,p,t) != $true )
    | ( vAPP($i,$o,p,u) != $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ( vAPP($i,$o,p,t) != $true )
    | ( vAPP($i,$o,p,u) != $true ) ),
    inference(flattening,[],[f8]) ).

thf(f8,plain,
    ( ( vAPP($i,$o,p,t) != $true )
    | ( vAPP($i,$o,p,u) != $true ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f7,plain,
    ( ~ vAPP($i,$o,p,t)
    | ~ vAPP($i,$o,p,u) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ( ~ vAPP($i,$o,p,t)
    | ~ vAPP($i,$o,p,u) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',puv) ).

thf(f19,plain,
    vAPP($i,$o,p,t) = $true,
    inference(duplicate_literal_removal,[],[f18]) ).

thf(f18,plain,
    ( ( vAPP($i,$o,p,t) = $true )
    | ( vAPP($i,$o,p,t) = $true ) ),
    inference(forward_demodulation,[],[f15,f12]) ).

thf(f12,plain,
    s = t,
    inference(cnf_transformation,[],[f3]) ).

thf(f3,axiom,
    s = t,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',st) ).

thf(f15,plain,
    ( ( vAPP($i,$o,p,t) = $true )
    | ( vAPP($i,$o,p,s) = $true ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f10,plain,
    ( ( vAPP($i,$o,p,t) = $true )
    | ( vAPP($i,$o,p,s) = $true ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    ( vAPP($i,$o,p,t)
    | vAPP($i,$o,p,s) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( vAPP($i,$o,p,t)
    | vAPP($i,$o,p,s) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pst) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYO554^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n027.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   : Mon May 20 10:51:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (1478)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (1479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36  % (1484)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)
% 0.19/0.36  % Exception at run slice level
% 0.19/0.36  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.36  % (1484)First to succeed.
% 0.19/0.36  % (1484)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1478"
% 0.19/0.36  % (1484)Refutation found. Thanks to Tanya!
% 0.19/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.36  % (1484)------------------------------
% 0.19/0.36  % (1484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.36  % (1484)Termination reason: Refutation
% 0.19/0.36  
% 0.19/0.36  % (1484)Memory used [KB]: 766
% 0.19/0.36  % (1484)Time elapsed: 0.004 s
% 0.19/0.36  % (1484)Instructions burned: 4 (million)
% 0.19/0.36  % (1478)Success in time 0.018 s
%------------------------------------------------------------------------------