%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : CSR149^2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n021.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 23.88s 24.12s
% Output   : Proof 23.88s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% 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__0,type,
    eigen__0: $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(sP1,plain,
    ( sP1
  <=> ! [X1: $i,X2: $i] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X2 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
    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 @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ ( lYearFn_THFTYPE_IiiI @ eigen__0 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( sP2 = sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ eigen__0 ) @ ~ $false ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: $i] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
     => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

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

thf(sP11,plain,
    ( sP11
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ eigen__0 ) @ sP10 ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ( eigen__0 = eigen__0 ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ( ( ~ sP8 )
      = sP10 ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

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

thf(sP15,plain,
    ( sP15
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ( ( lYearFn_THFTYPE_IiiI @ eigen__0 )
      = ( lYearFn_THFTYPE_IiiI @ eigen__0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ( ( ~ sP8 )
      = sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(sP18,plain,
    ( sP18
  <=> ! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ sP8 ) ),
    introduced(definition,[new_symbols(definition,[sP18])]) ).

thf(sP19,plain,
    ( sP19
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ eigen__0 ) @ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP19])]) ).

thf(sP20,plain,
    ( sP20
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP20])]) ).

thf(sP21,plain,
    ( sP21
  <=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP21])]) ).

thf(con,conjecture,
    ~ sP1 ).

thf(h0,negated_conjecture,
    sP1,
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    sP21,
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP15
    | sP20
    | ~ sP21
    | ~ sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(3,plain,
    ( sP5
    | sP2
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( sP17
    | sP8
    | ~ sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP9
    | ~ sP14
    | sP10 ),
    inference(prop_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP6
    | sP19
    | ~ sP16
    | ~ sP17 ),
    inference(mating_rule,[status(thm)],]) ).

thf(7,plain,
    ( ~ sP2
    | sP9 ),
    inference(all_rule,[status(thm)],]) ).

thf(8,plain,
    ( ~ sP7
    | ~ sP20 ),
    inference(all_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP7
    | ~ sP19 ),
    inference(all_rule,[status(thm)],]) ).

thf(10,plain,
    ( ~ sP6
    | sP11
    | ~ sP16
    | ~ sP13 ),
    inference(mating_rule,[status(thm)],]) ).

thf(11,plain,
    ( sP13
    | sP8
    | ~ sP10 ),
    inference(prop_rule,[status(thm)],]) ).

thf(12,plain,
    ( ~ sP3
    | ~ sP11 ),
    inference(all_rule,[status(thm)],]) ).

thf(13,plain,
    ( ~ sP1
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(14,plain,
    sP12,
    inference(prop_rule,[status(thm)],]) ).

thf(15,plain,
    ( sP16
    | ~ sP12 ),
    inference(prop_rule,[status(thm)],]) ).

thf(16,plain,
    ( ~ sP1
    | sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(17,plain,
    ( ~ sP18
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(18,plain,
    ~ sP8,
    inference(prop_rule,[status(thm)],]) ).

thf(ax_051,axiom,
    sP18 ).

thf(ax_023,axiom,
    sP14 ).

thf(ax_004,axiom,
    sP15 ).

thf(19,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,h0,ax_051,ax_023,ax_004]) ).

thf(0,theorem,
    ~ sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[19,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR149^2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n021.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 : Sat Jun 11 10:58:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 23.88/24.12  % SZS status Theorem
% 23.88/24.12  % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 23.88/24.12  % Inferences: 24739
% 23.88/24.12  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------