TSTP Solution File: PUZ146^1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ146^1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 08:50:53 EDT 2024

% Result   : Theorem 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   35 (  15 unt;  20 typ;   0 def)
%            Number of atoms       :   45 (  10 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   22 (  21   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  17 usr;   7 con; 0-6 aty)
%            Number of variables   :    6 (   0   ^   0   !;   0   ?;   6   :)
%                                         (   6  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

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

thf(func_def_2,type,
    peter: earthling ).

thf(func_def_3,type,
    mary: earthling ).

thf(func_def_4,type,
    beer_drinking: hobby ).

thf(func_def_5,type,
    belly_dancing: hobby ).

thf(func_def_6,type,
    weight_lifting: hobby ).

thf(func_def_7,type,
    has_hobby: earthling > hobby > $o ).

thf(func_def_8,type,
    peters_hobbies: hobby > $o ).

thf(func_def_9,type,
    marys_hobbies: hobby > $o ).

thf(func_def_13,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_14,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_15,type,
    vAND: $o > $o > $o ).

thf(func_def_16,type,
    vOR: $o > $o > $o ).

thf(func_def_17,type,
    vIMP: $o > $o > $o ).

thf(func_def_18,type,
    vNOT: $o > $o ).

thf(func_def_19,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f35]) ).

thf(f35,plain,
    vAPP(hobby,$o,peters_hobbies,beer_drinking) != $true,
    inference(forward_demodulation,[],[f30,f23]) ).

thf(f23,plain,
    peters_hobbies = marys_hobbies,
    inference(cnf_transformation,[],[f21]) ).

thf(f21,plain,
    peters_hobbies = marys_hobbies,
    inference(flattening,[],[f10]) ).

thf(f10,negated_conjecture,
    peters_hobbies != marys_hobbies,
    inference(negated_conjecture,[],[f9]) ).

thf(f9,conjecture,
    peters_hobbies != marys_hobbies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peter_and_mary_have_different_hobbies) ).

thf(f30,plain,
    vAPP(hobby,$o,marys_hobbies,beer_drinking) != $true,
    inference(cnf_transformation,[],[f22]) ).

thf(f22,plain,
    vAPP(hobby,$o,marys_hobbies,beer_drinking) != $true,
    inference(flattening,[],[f14]) ).

thf(f14,plain,
    vAPP(hobby,$o,marys_hobbies,beer_drinking) != $true,
    inference(fool_elimination,[],[f13]) ).

thf(f13,plain,
    ~ vAPP(hobby,$o,marys_hobbies,beer_drinking),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ~ vAPP(hobby,$o,marys_hobbies,beer_drinking),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mary_does_not_do_beer_drinking) ).

thf(f33,plain,
    vAPP(hobby,$o,peters_hobbies,beer_drinking) = $true,
    inference(cnf_transformation,[],[f20]) ).

thf(f20,plain,
    vAPP(hobby,$o,peters_hobbies,beer_drinking) = $true,
    inference(fool_elimination,[],[f19]) ).

thf(f19,plain,
    vAPP(hobby,$o,peters_hobbies,beer_drinking),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    vAPP(hobby,$o,peters_hobbies,beer_drinking),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peter_does_beer_drinking) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PUZ146^1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:04:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (3263)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (3264)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (3265)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % Exception at run slice level
% 0.22/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38  % Exception at run slice level
% 0.22/0.38  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39  % (3270)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)
% 0.22/0.39  % (3270)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39  % (3270)First to succeed.
% 0.22/0.39  % (3270)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3263"
% 0.22/0.39  % (3269)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)
% 0.22/0.39  % (3270)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (3270)------------------------------
% 0.22/0.39  % (3270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39  % (3270)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (3270)Memory used [KB]: 753
% 0.22/0.39  % (3270)Time elapsed: 0.003 s
% 0.22/0.39  % (3270)Instructions burned: 3 (million)
% 0.22/0.39  % (3263)Success in time 0.023 s
%------------------------------------------------------------------------------