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

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ146^1 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 02:28:52 EDT 2024

% Result   : Theorem 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   33 (  21 unt;  12 typ;   0 def)
%            Number of atoms       :   53 (  16 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   28 (  11   ~;   0   |;   0   &;  17   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

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

thf(type_def_6,type,
    hobby: $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(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f40]) ).

thf(f40,plain,
    ( ( has_hobby @ mary @ beer_drinking )
   != $true ),
    inference(definition_unfolding,[],[f32,f35]) ).

thf(f35,plain,
    ( marys_hobbies
    = ( has_hobby @ mary ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f12,plain,
    ( marys_hobbies
    = ( has_hobby @ mary ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,axiom,
    ( marys_hobbies
    = ( has_hobby @ mary ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',marys_hobbies_002) ).

thf(f32,plain,
    ( ( marys_hobbies @ beer_drinking )
   != $true ),
    inference(cnf_transformation,[],[f25]) ).

thf(f25,plain,
    ( ( marys_hobbies @ beer_drinking )
   != $true ),
    inference(flattening,[],[f17]) ).

thf(f17,plain,
    ( ( marys_hobbies @ beer_drinking )
   != $true ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,plain,
    ~ ( marys_hobbies @ beer_drinking ),
    inference(rectify,[],[f6]) ).

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

thf(f39,plain,
    ( ( has_hobby @ mary @ beer_drinking )
    = $true ),
    inference(definition_unfolding,[],[f27,f38]) ).

thf(f38,plain,
    ( peters_hobbies
    = ( has_hobby @ mary ) ),
    inference(definition_unfolding,[],[f31,f35]) ).

thf(f31,plain,
    peters_hobbies = marys_hobbies,
    inference(cnf_transformation,[],[f26]) ).

thf(f26,plain,
    peters_hobbies = marys_hobbies,
    inference(flattening,[],[f24]) ).

thf(f24,plain,
    ~ ( ( peters_hobbies != marys_hobbies ) ),
    inference(fool_elimination,[],[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(f27,plain,
    ( ( peters_hobbies @ beer_drinking )
    = $true ),
    inference(cnf_transformation,[],[f20]) ).

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

thf(f19,plain,
    peters_hobbies @ beer_drinking,
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    peters_hobbies @ beer_drinking,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peter_does_beer_drinking) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ146^1 : TPTP v8.2.0. Released v6.4.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n009.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 11:01:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  % (18535)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.19/0.36  % (18535)First to succeed.
% 0.19/0.37  % (18535)Refutation found. Thanks to Tanya!
% 0.19/0.37  % SZS status Theorem for theBenchmark
% 0.19/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37  % (18535)------------------------------
% 0.19/0.37  % (18535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37  % (18535)Termination reason: Refutation
% 0.19/0.37  
% 0.19/0.37  % (18535)Memory used [KB]: 5373
% 0.19/0.37  % (18535)Time elapsed: 0.002 s
% 0.19/0.37  % (18535)Instructions burned: 1 (million)
% 0.19/0.37  % (18535)------------------------------
% 0.19/0.37  % (18535)------------------------------
% 0.19/0.37  % (18527)Success in time 0.004 s
% 0.19/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------