%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : CSR152^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n007.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 : Wed Aug 30 21:33:42 EDT 2023

% Result   : Theorem 0.14s 0.38s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

thf(ty_lMary_THFTYPE_i,type,
    lMary_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
  <=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

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

thf(sP3,plain,
    ( sP3
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( sP1
     => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ( ! [X1: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) )
      = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

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

thf(sP7,plain,
    ( sP7
  <=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ~ sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

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

thf(sP10,plain,
    ( sP10
  <=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ sP9 ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(con,conjecture,
    sP10 ).

thf(h0,negated_conjecture,
    ~ sP10,
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    ( ~ sP4
    | ~ sP1
    | sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP6
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(3,plain,
    ( sP5
    | sP6
    | sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( sP2
    | sP3
    | ~ sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ~ sP3,
    inference(prop_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP8
    | sP10
    | ~ sP2
    | sP3 ),
    inference(mating_rule,[status(thm)],]) ).

thf(7,plain,
    ( ~ sP7
    | sP10
    | ~ sP5
    | sP3 ),
    inference(mating_rule,[status(thm)],]) ).

thf(ax_002,axiom,
    sP7 ).

thf(ax_001,axiom,
    sP1 ).

thf(ax,axiom,
    sP8 ).

thf(8,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,h0,ax_002,ax_001,ax]) ).

thf(0,theorem,
    sP10,
    inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR152^1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.14/0.33  % Computer : n007.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Mon Aug 28 08:08:13 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.38  % SZS status Theorem
% 0.14/0.38  % Mode: cade22grackle2xfee4
% 0.14/0.38  % Steps: 44
% 0.14/0.38  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------