%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : CSR129^2 : 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 23:14:23 EDT 2022

% Result   : Theorem 99.90s 99.96s
% Output   : Proof 99.90s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

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_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_temporalPart_THFTYPE_IiioI,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

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

thf(ty_lAnna_THFTYPE_i,type,
    lAnna_THFTYPE_i: $i ).

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

thf(sP2,plain,
    ( sP2
  <=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
     => ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

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

thf(sP6,plain,
    ( sP6
  <=> ( ( temporalPart_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
     => ~ ( temporalPart_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = ( ~ sP6 ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

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

thf(sP10,plain,
    ( sP10
  <=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ! [X1: $i > $i > $o] :
        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
             => ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP9 ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> ( sP2
      = ( ~ sP4 ) ) ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( sP2
      = ( ~ sP6 ) ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(con,conjecture,
    ~ sP12 ).

thf(h0,negated_conjecture,
    sP12,
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    ( sP4
    | sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP4
    | ~ sP8
    | ~ sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( sP14
    | ~ sP2
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( sP14
    | sP2
    | ~ sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP3
    | sP16
    | ~ sP10
    | ~ sP14 ),
    inference(mating_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP12
    | ~ sP16 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP7
    | ~ sP8
    | sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( sP7
    | sP8
    | ~ sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP1
    | sP17
    | ~ sP10
    | ~ sP7 ),
    inference(mating_rule,[status(thm)],]) ).

thf(10,plain,
    ( sP5
    | sP9
    | ~ sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(11,plain,
    ( ~ sP13
    | sP17
    | ~ sP10
    | ~ sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(12,plain,
    ( sP15
    | ~ sP2
    | sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( sP15
    | sP2
    | ~ sP6 ),
    inference(prop_rule,[status(thm)],]) ).

thf(14,plain,
    ( ~ sP3
    | sP17
    | ~ sP10
    | ~ sP15 ),
    inference(mating_rule,[status(thm)],]) ).

thf(15,plain,
    ( ~ sP12
    | ~ sP17 ),
    inference(all_rule,[status(thm)],]) ).

thf(16,plain,
    sP11,
    inference(prop_rule,[status(thm)],]) ).

thf(17,plain,
    ( sP10
    | ~ sP11 ),
    inference(prop_rule,[status(thm)],]) ).

thf(ax_025,axiom,
    sP3 ).

thf(ax_005,axiom,
    sP13 ).

thf(ax_003,axiom,
    sP1 ).

thf(18,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,h0,ax_025,ax_005,ax_003]) ).

thf(0,theorem,
    ~ sP12,
    inference(contra,[status(thm),contra(discharge,[h0])],[18,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : CSR129^2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 11 17:01:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 99.90/99.96  % SZS status Theorem
% 99.90/99.96  % Mode: mode498:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 99.90/99.96  % Inferences: 18845
% 99.90/99.96  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------