TSTP Solution File: NUM795^1 by Lash---1.13

%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : NUM795^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n019.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 : Thu Aug 31 11:41:13 EDT 2023

% Result   : Theorem 0.20s 0.83s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_rat,type,
    rat: $tType ).

thf(ty_x0,type,
    x0: rat ).

thf(ty_less,type,
    less: rat > rat > $o ).

thf(ty_moreis,type,
    moreis: rat > rat > $o ).

thf(ty_u0,type,
    u0: rat ).

thf(ty_lessis,type,
    lessis: rat > rat > $o ).

thf(ty_more,type,
    more: rat > rat > $o ).

thf(ty_y0,type,
    y0: rat ).

thf(ty_pl,type,
    pl: rat > rat > rat ).

thf(ty_z0,type,
    z0: rat ).

thf(sP1,plain,
    ( sP1
  <=> ( less @ z0 @ u0 ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: rat] :
        ( ( moreis @ y0 @ x0 )
       => ( ( more @ u0 @ X1 )
         => ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ X1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( moreis @ y0 @ x0 ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( sP4
     => ( ( more @ u0 @ z0 )
       => sP5 ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: rat,X2: rat] :
        ( sP4
       => ( ( more @ X1 @ X2 )
         => ( more @ ( pl @ y0 @ X1 ) @ ( pl @ x0 @ X2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ! [X1: rat,X2: rat] :
        ( ( lessis @ X1 @ X2 )
       => ( moreis @ X2 @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( more @ u0 @ z0 ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( ( lessis @ x0 @ y0 )
     => sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ! [X1: rat,X2: rat] :
        ( ( less @ X1 @ X2 )
       => ( more @ X2 @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ( sP9
     => sP5 ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ! [X1: rat] :
        ( ( more @ ( pl @ y0 @ u0 ) @ X1 )
       => ( less @ X1 @ ( pl @ y0 @ u0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> ! [X1: rat] :
        ( ( less @ z0 @ X1 )
       => ( more @ X1 @ z0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( sP1
     => sP9 ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ! [X1: rat,X2: rat,X3: rat] :
        ( ( moreis @ y0 @ X1 )
       => ( ( more @ X2 @ X3 )
         => ( more @ ( pl @ y0 @ X2 ) @ ( pl @ X1 @ X3 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ! [X1: rat,X2: rat] :
        ( ( more @ X1 @ X2 )
       => ( less @ X2 @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(sP18,plain,
    ( sP18
  <=> ( lessis @ x0 @ y0 ) ),
    introduced(definition,[new_symbols(definition,[sP18])]) ).

thf(sP19,plain,
    ( sP19
  <=> ( sP5
     => sP2 ) ),
    introduced(definition,[new_symbols(definition,[sP19])]) ).

thf(sP20,plain,
    ( sP20
  <=> ! [X1: rat] :
        ( ( lessis @ x0 @ X1 )
       => ( moreis @ X1 @ x0 ) ) ),
    introduced(definition,[new_symbols(definition,[sP20])]) ).

thf(sP21,plain,
    ( sP21
  <=> ! [X1: rat,X2: rat,X3: rat,X4: rat] :
        ( ( moreis @ X1 @ X2 )
       => ( ( more @ X3 @ X4 )
         => ( more @ ( pl @ X1 @ X3 ) @ ( pl @ X2 @ X4 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP21])]) ).

thf(satz99c,conjecture,
    sP2 ).

thf(h0,negated_conjecture,
    ~ sP2,
    inference(assume_negation,[status(cth)],[satz99c]) ).

thf(1,plain,
    ( ~ sP19
    | ~ sP5
    | sP2 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP13
    | sP19 ),
    inference(all_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP17
    | sP13 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP12
    | ~ sP9
    | sP5 ),
    inference(prop_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP6
    | ~ sP4
    | sP12 ),
    inference(prop_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP3
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( ~ sP15
    | ~ sP1
    | sP9 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( ~ sP7
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP14
    | sP15 ),
    inference(all_rule,[status(thm)],]) ).

thf(10,plain,
    ( ~ sP11
    | sP14 ),
    inference(all_rule,[status(thm)],]) ).

thf(11,plain,
    ( ~ sP16
    | sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(12,plain,
    ( ~ sP10
    | ~ sP18
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( ~ sP21
    | sP16 ),
    inference(all_rule,[status(thm)],]) ).

thf(14,plain,
    ( ~ sP20
    | sP10 ),
    inference(all_rule,[status(thm)],]) ).

thf(15,plain,
    ( ~ sP8
    | sP20 ),
    inference(all_rule,[status(thm)],]) ).

thf(satz83,axiom,
    sP11 ).

thf(satz85,axiom,
    sP8 ).

thf(satz99a,axiom,
    sP21 ).

thf(satz82,axiom,
    sP17 ).

thf(k,axiom,
    sP1 ).

thf(l,axiom,
    sP18 ).

thf(16,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,h0,satz83,satz85,satz99a,satz82,k,l]) ).

thf(0,theorem,
    sP2,
    inference(contra,[status(thm),contra(discharge,[h0])],[16,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM795^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.18/0.33  % Computer : n019.cluster.edu
% 0.18/0.33  % Model    : x86_64 x86_64
% 0.18/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.33  % Memory   : 8042.1875MB
% 0.18/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33  % CPULimit : 300
% 0.18/0.33  % WCLimit  : 300
% 0.18/0.33  % DateTime : Fri Aug 25 13:37:13 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.20/0.83  % SZS status Theorem
% 0.20/0.83  % Mode: cade22grackle2xfee4
% 0.20/0.83  % Steps: 4654
% 0.20/0.83  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------