%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : CSR148^3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n022.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  : 600s
% DateTime : Fri Jul 15 23:14:32 EDT 2022

% Result   : Theorem 24.54s 24.47s
% Output   : Proof 24.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   40
% Syntax   : Number of formulae    :   45 (  10 unt;   8 typ;   1 def)
%            Number of atoms       :   87 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  122 (  25   ~;  19   |;   0   &;  58   @)
%                                         (  15 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;  22 con; 0-2 aty)
%            Number of variables   :    8 (   1   ^   7   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(ty_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(ty_eigen__1,type,
    eigen__1: $i ).

thf(ty_lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

thf(ty_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(ty_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

thf(ty_lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

thf(ty_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(h0,assumption,
    ! [X1: $i > $o,X2: $i] :
      ( ( X1 @ X2 )
     => ( X1 @ ( eps__0 @ X1 ) ) ),
    introduced(assumption,[]) ).

thf(eigendef_eigen__1,definition,
    ( eigen__1
    = ( eps__0
      @ ^ [X1: $i] :
          ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[eigen__1])]) ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
     => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: $i] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ eigen__1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ! [X1: $i] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( sP1
      = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP1 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ eigen__1 )
     => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ eigen__1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ( sP1
      = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ eigen__1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ eigen__1 ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ! [X1: $i,X2: $i] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X2 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(con,conjecture,
    ~ sP13 ).

thf(h1,negated_conjecture,
    sP13,
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    sP9,
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP8
    | sP15
    | ~ sP9
    | ~ sP11 ),
    inference(mating_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP8
    | sP4
    | ~ sP9
    | ~ sP7 ),
    inference(mating_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP2
    | ~ sP5
    | sP14 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP3
    | ~ sP15 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP6
    | ~ sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP7
    | ~ sP1
    | ~ sP14 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( ~ sP13
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP1
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

thf(10,plain,
    ( sP11
    | sP1
    | sP12 ),
    inference(prop_rule,[status(thm)],]) ).

thf(11,plain,
    ( ~ sP13
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(12,plain,
    ( sP10
    | ~ sP12 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( sP1
    | ~ sP10 ),
    inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1]) ).

thf(ax_001,axiom,
    sP8 ).

thf(ax,axiom,
    sP5 ).

thf(14,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,h1,ax_001,ax]) ).

thf(15,plain,
    $false,
    inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[14,h0]) ).

thf(0,theorem,
    ~ sP13,
    inference(contra,[status(thm),contra(discharge,[h1])],[14,h1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR148^3 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n022.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  : 600
% 0.13/0.34  % DateTime : Fri Jun 10 12:19:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 24.54/24.47  % SZS status Theorem
% 24.54/24.47  % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 24.54/24.47  % Inferences: 15382
% 24.54/24.47  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------