TSTP Solution File: PUZ093^5 by Lash---1.13

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% 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 13:21:51 EDT 2023

% Result   : Theorem 0.19s 0.43s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_eigen__0,type,
    eigen__0: $i ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
        ~ ! [X12: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( ~ ( ( ( X12 @ eigen__0 )
                                            = ( X12 @ X1 ) )
                                         => ( ( X12 @ X2 )
                                           != ( X12 @ X3 ) ) )
                                     => ( ( X12 @ X8 )
                                       != ( X12 @ X11 ) ) )
                                 => ( ( X12 @ X4 )
                                    = ( X12 @ X7 ) ) )
                               => ~ ( ~ ( ~ ( ( ( X12 @ eigen__0 )
                                              = ( X12 @ X1 ) )
                                           => ( ( X12 @ X10 )
                                             != ( X12 @ X11 ) ) )
                                       => ( ( X12 @ X2 )
                                         != ( X12 @ X5 ) ) )
                                   => ( ( X12 @ X6 )
                                     != ( X12 @ X9 ) ) ) )
                           => ~ ( ~ ( ~ ( ~ ( ( ( X12 @ X4 )
                                              = ( X12 @ X5 ) )
                                           => ( ( X12 @ X5 )
                                             != ( X12 @ X6 ) ) )
                                       => ( ( X12 @ X6 )
                                         != ( X12 @ X7 ) ) )
                                   => ( ( X12 @ eigen__0 )
                                      = ( X12 @ X3 ) ) )
                               => ( ( X12 @ X8 )
                                 != ( X12 @ X11 ) ) ) )
                       => ~ ( ~ ( ~ ( ( ( X12 @ eigen__0 )
                                      = ( X12 @ X1 ) )
                                   => ( ( X12 @ X6 )
                                     != ( X12 @ X7 ) ) )
                               => ( ( X12 @ X2 )
                                  = ( X12 @ X5 ) ) )
                           => ( ( X12 @ X8 )
                              = ( X12 @ X11 ) ) ) )
                   => ~ ( ~ ( ~ ( ( ( X12 @ X8 )
                                  = ( X12 @ X9 ) )
                               => ( ( X12 @ X10 )
                                 != ( X12 @ X11 ) ) )
                           => ( ( X12 @ X4 )
                             != ( X12 @ X7 ) ) )
                       => ( ( X12 @ eigen__0 )
                         != ( X12 @ X3 ) ) ) )
               => ~ ( ~ ( ~ ( ~ ( ( ( X12 @ X2 )
                                  = ( X12 @ X3 ) )
                               => ( ( X12 @ X3 )
                                 != ( X12 @ X4 ) ) )
                           => ( ( X12 @ X4 )
                             != ( X12 @ X5 ) ) )
                       => ( ( X12 @ X8 )
                          = ( X12 @ X11 ) ) )
                   => ( ( X12 @ X6 )
                      = ( X12 @ X9 ) ) ) )
           => ( ~ ( ~ ( ~ ( ~ ( ( ( X12 @ eigen__0 )
                                = ( X12 @ X1 ) )
                             => ( ( X12 @ X2 )
                               != ( X12 @ X3 ) ) )
                         => ( ( X12 @ X4 )
                           != ( X12 @ X5 ) ) )
                     => ( ( X12 @ X6 )
                       != ( X12 @ X7 ) ) )
                 => ( ( X12 @ X8 )
                   != ( X12 @ X9 ) ) )
             => ( ( X12 @ X10 )
               != ( X12 @ X11 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
        ~ ! [X7: $i > $i] :
            ( ~ ( ~ ( ~ ( ( ( ( X7 @ X3 )
                            = ( X7 @ X6 ) )
                         => ( ( X7 @ eigen__0 )
                            = ( X7 @ X2 ) ) )
                       => ~ ( ( ( X7 @ X5 )
                              = ( X7 @ X6 ) )
                           => ( ( X7 @ X1 )
                             != ( X7 @ X4 ) ) ) )
                   => ~ ( ~ ( ( ( X7 @ X3 )
                              = ( X7 @ X4 ) )
                           => ( ( X7 @ X5 )
                             != ( X7 @ X6 ) ) )
                       => ( ( X7 @ eigen__0 )
                         != ( X7 @ X2 ) ) ) )
               => ~ ( ( ( X7 @ X3 )
                     != ( X7 @ X6 ) )
                   => ( ( X7 @ X1 )
                      = ( X7 @ X4 ) ) ) )
           => ( ~ ( ( ( X7 @ X1 )
                    = ( X7 @ X2 ) )
                 => ( ( X7 @ X3 )
                   != ( X7 @ X4 ) ) )
             => ( ( X7 @ X5 )
               != ( X7 @ X6 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ~ ! [X4: $i > $i] :
            ( ~ ( ~ ( ( ( ( X4 @ X2 )
                        = ( X4 @ X3 ) )
                     => ( ( X4 @ eigen__0 )
                       != ( X4 @ X1 ) ) )
                   => ~ ( ( ( X4 @ eigen__0 )
                          = ( X4 @ X1 ) )
                       => ( ( X4 @ X2 )
                         != ( X4 @ X3 ) ) ) )
               => ~ ( ( ( X4 @ eigen__0 )
                     != ( X4 @ X3 ) )
                   => ( ( X4 @ eigen__0 )
                      = ( X4 @ X1 ) ) ) )
           => ( ( ( X4 @ eigen__0 )
                = ( X4 @ X1 ) )
             => ( ( X4 @ X2 )
               != ( X4 @ X3 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
        ~ ! [X9: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ( ( ( X9 @ X5 )
                                = ( X9 @ X8 ) )
                             => ( ( X9 @ X1 )
                                = ( X9 @ X4 ) ) )
                           => ~ ( ~ ( ( ( X9 @ X7 )
                                      = ( X9 @ X8 ) )
                                   => ( ( X9 @ eigen__0 )
                                     != ( X9 @ X2 ) ) )
                               => ( ( X9 @ X3 )
                                 != ( X9 @ X6 ) ) ) )
                       => ~ ( ~ ( ( ( X9 @ X3 )
                                  = ( X9 @ X4 ) )
                               => ( ( X9 @ eigen__0 )
                                  = ( X9 @ X2 ) ) )
                           => ( ( X9 @ X5 )
                              = ( X9 @ X8 ) ) ) )
                   => ~ ( ~ ( ( ( X9 @ X5 )
                              = ( X9 @ X6 ) )
                           => ( ( X9 @ X7 )
                             != ( X9 @ X8 ) ) )
                       => ( ( X9 @ X1 )
                         != ( X9 @ X4 ) ) ) )
               => ~ ( ~ ( ~ ( ( ( X9 @ eigen__0 )
                              = ( X9 @ X1 ) )
                           => ( ( X9 @ X1 )
                             != ( X9 @ X2 ) ) )
                       => ( ( X9 @ X5 )
                          = ( X9 @ X8 ) ) )
                   => ( ( X9 @ X3 )
                      = ( X9 @ X6 ) ) ) )
           => ( ~ ( ~ ( ( ( X9 @ X1 )
                        = ( X9 @ X2 ) )
                     => ( ( X9 @ X3 )
                       != ( X9 @ X4 ) ) )
                 => ( ( X9 @ X5 )
                   != ( X9 @ X6 ) ) )
             => ( ( X9 @ X7 )
               != ( X9 @ X8 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
        ~ ! [X8: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ( ( ( X8 @ X4 )
                                = ( X8 @ X7 ) )
                             => ( ( X8 @ eigen__0 )
                                = ( X8 @ X3 ) ) )
                           => ~ ( ~ ( ( ( X8 @ X6 )
                                      = ( X8 @ X7 ) )
                                   => ( ( X8 @ eigen__0 )
                                     != ( X8 @ X1 ) ) )
                               => ( ( X8 @ X2 )
                                 != ( X8 @ X5 ) ) ) )
                       => ~ ( ~ ( ( ( X8 @ X2 )
                                  = ( X8 @ X3 ) )
                               => ( ( X8 @ eigen__0 )
                                  = ( X8 @ X1 ) ) )
                           => ( ( X8 @ X4 )
                              = ( X8 @ X7 ) ) ) )
                   => ~ ( ~ ( ( ( X8 @ X4 )
                              = ( X8 @ X5 ) )
                           => ( ( X8 @ X6 )
                             != ( X8 @ X7 ) ) )
                       => ( ( X8 @ eigen__0 )
                         != ( X8 @ X3 ) ) ) )
               => ~ ( ~ ( ( ( X8 @ eigen__0 )
                          = ( X8 @ X1 ) )
                       => ( ( X8 @ X4 )
                          = ( X8 @ X7 ) ) )
                   => ( ( X8 @ X2 )
                      = ( X8 @ X5 ) ) ) )
           => ( ~ ( ~ ( ( ( X8 @ eigen__0 )
                        = ( X8 @ X1 ) )
                     => ( ( X8 @ X2 )
                       != ( X8 @ X3 ) ) )
                 => ( ( X8 @ X4 )
                   != ( X8 @ X5 ) ) )
             => ( ( X8 @ X6 )
               != ( X8 @ X7 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
        ~ ! [X5: $i > $i] :
            ( ~ ( ~ ( ( ( ( X5 @ X3 )
                        = ( X5 @ X4 ) )
                     => ( ( X5 @ eigen__0 )
                       != ( X5 @ X2 ) ) )
                   => ~ ( ( ( X5 @ X1 )
                          = ( X5 @ X2 ) )
                       => ( ( X5 @ X3 )
                         != ( X5 @ X4 ) ) ) )
               => ~ ( ( ( X5 @ X1 )
                     != ( X5 @ X4 ) )
                   => ( ( X5 @ eigen__0 )
                      = ( X5 @ X2 ) ) ) )
           => ( ( ( X5 @ X1 )
                = ( X5 @ X2 ) )
             => ( ( X5 @ X3 )
               != ( X5 @ X4 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ! [X1: $i,X2: $i] :
        ~ ! [X3: $i > $i] :
            ( ~ ( ( ( X3 @ X1 )
                 != ( X3 @ X2 ) )
               => ( ( X3 @ X1 )
                  = ( X3 @ X2 ) ) )
           => ( ( X3 @ X1 )
             != ( X3 @ X2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
        ~ ! [X11: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( ( ( X11 @ X1 )
                                        = ( X11 @ X2 ) )
                                     => ( ( X11 @ X7 )
                                       != ( X11 @ X10 ) ) )
                                 => ( ( X11 @ X3 )
                                    = ( X11 @ X6 ) ) )
                               => ~ ( ~ ( ( ( X11 @ X9 )
                                          = ( X11 @ X10 ) )
                                       => ( ( X11 @ X1 )
                                         != ( X11 @ X4 ) ) )
                                   => ( ( X11 @ X5 )
                                     != ( X11 @ X8 ) ) ) )
                           => ~ ( ~ ( ~ ( ~ ( ( ( X11 @ X3 )
                                              = ( X11 @ X4 ) )
                                           => ( ( X11 @ X4 )
                                             != ( X11 @ X5 ) ) )
                                       => ( ( X11 @ X5 )
                                         != ( X11 @ X6 ) ) )
                                   => ( ( X11 @ eigen__0 )
                                      = ( X11 @ X2 ) ) )
                               => ( ( X11 @ X7 )
                                 != ( X11 @ X10 ) ) ) )
                       => ~ ( ~ ( ( ( X11 @ X5 )
                                  = ( X11 @ X6 ) )
                               => ( ( X11 @ X1 )
                                  = ( X11 @ X4 ) ) )
                           => ( ( X11 @ X7 )
                              = ( X11 @ X10 ) ) ) )
                   => ~ ( ~ ( ~ ( ( ( X11 @ X7 )
                                  = ( X11 @ X8 ) )
                               => ( ( X11 @ X9 )
                                 != ( X11 @ X10 ) ) )
                           => ( ( X11 @ X3 )
                             != ( X11 @ X6 ) ) )
                       => ( ( X11 @ eigen__0 )
                         != ( X11 @ X2 ) ) ) )
               => ~ ( ~ ( ~ ( ~ ( ( ( X11 @ X1 )
                                  = ( X11 @ X2 ) )
                               => ( ( X11 @ X2 )
                                 != ( X11 @ X3 ) ) )
                           => ( ( X11 @ X3 )
                             != ( X11 @ X4 ) ) )
                       => ( ( X11 @ X7 )
                          = ( X11 @ X10 ) ) )
                   => ( ( X11 @ X5 )
                      = ( X11 @ X8 ) ) ) )
           => ( ~ ( ~ ( ~ ( ( ( X11 @ X1 )
                            = ( X11 @ X2 ) )
                         => ( ( X11 @ X3 )
                           != ( X11 @ X4 ) ) )
                     => ( ( X11 @ X5 )
                       != ( X11 @ X6 ) ) )
                 => ( ( X11 @ X7 )
                   != ( X11 @ X8 ) ) )
             => ( ( X11 @ X9 )
               != ( X11 @ X10 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
        ~ ! [X13: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( ~ ( ( ( X13 @ X1 )
                                            = ( X13 @ X2 ) )
                                         => ( ( X13 @ X3 )
                                           != ( X13 @ X4 ) ) )
                                     => ( ( X13 @ X9 )
                                       != ( X13 @ X12 ) ) )
                                 => ( ( X13 @ X5 )
                                    = ( X13 @ X8 ) ) )
                               => ~ ( ~ ( ~ ( ( ( X13 @ X1 )
                                              = ( X13 @ X2 ) )
                                           => ( ( X13 @ X11 )
                                             != ( X13 @ X12 ) ) )
                                       => ( ( X13 @ X3 )
                                         != ( X13 @ X6 ) ) )
                                   => ( ( X13 @ X7 )
                                     != ( X13 @ X10 ) ) ) )
                           => ~ ( ~ ( ~ ( ~ ( ( ( X13 @ X5 )
                                              = ( X13 @ X6 ) )
                                           => ( ( X13 @ X6 )
                                             != ( X13 @ X7 ) ) )
                                       => ( ( X13 @ X7 )
                                         != ( X13 @ X8 ) ) )
                                   => ( ( X13 @ X1 )
                                      = ( X13 @ X4 ) ) )
                               => ( ( X13 @ X9 )
                                 != ( X13 @ X12 ) ) ) )
                       => ~ ( ~ ( ~ ( ( ( X13 @ X1 )
                                      = ( X13 @ X2 ) )
                                   => ( ( X13 @ X7 )
                                     != ( X13 @ X8 ) ) )
                               => ( ( X13 @ X3 )
                                  = ( X13 @ X6 ) ) )
                           => ( ( X13 @ X9 )
                              = ( X13 @ X12 ) ) ) )
                   => ~ ( ~ ( ~ ( ( ( X13 @ X9 )
                                  = ( X13 @ X10 ) )
                               => ( ( X13 @ X11 )
                                 != ( X13 @ X12 ) ) )
                           => ( ( X13 @ X5 )
                             != ( X13 @ X8 ) ) )
                       => ( ( X13 @ X1 )
                         != ( X13 @ X4 ) ) ) )
               => ~ ( ~ ( ~ ( ~ ( ( ( X13 @ X3 )
                                  = ( X13 @ X4 ) )
                               => ( ( X13 @ X4 )
                                 != ( X13 @ X5 ) ) )
                           => ( ( X13 @ X5 )
                             != ( X13 @ X6 ) ) )
                       => ( ( X13 @ X9 )
                          = ( X13 @ X12 ) ) )
                   => ( ( X13 @ X7 )
                      = ( X13 @ X10 ) ) ) )
           => ( ~ ( ~ ( ~ ( ~ ( ( ( X13 @ X1 )
                                = ( X13 @ X2 ) )
                             => ( ( X13 @ X3 )
                               != ( X13 @ X4 ) ) )
                         => ( ( X13 @ X5 )
                           != ( X13 @ X6 ) ) )
                     => ( ( X13 @ X7 )
                       != ( X13 @ X8 ) ) )
                 => ( ( X13 @ X9 )
                   != ( X13 @ X10 ) ) )
             => ( ( X13 @ X11 )
               != ( X13 @ X12 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ~ ! [X6: $i > $i] :
            ( ~ ( ~ ( ~ ( ( ( ( X6 @ X2 )
                            = ( X6 @ X5 ) )
                         => ( ( X6 @ eigen__0 )
                            = ( X6 @ X1 ) ) )
                       => ~ ( ( ( X6 @ X4 )
                              = ( X6 @ X5 ) )
                           => ( ( X6 @ eigen__0 )
                             != ( X6 @ X3 ) ) ) )
                   => ~ ( ~ ( ( ( X6 @ X2 )
                              = ( X6 @ X3 ) )
                           => ( ( X6 @ X4 )
                             != ( X6 @ X5 ) ) )
                       => ( ( X6 @ eigen__0 )
                         != ( X6 @ X1 ) ) ) )
               => ~ ( ( ( X6 @ X2 )
                     != ( X6 @ X5 ) )
                   => ( ( X6 @ eigen__0 )
                      = ( X6 @ X3 ) ) ) )
           => ( ~ ( ( ( X6 @ eigen__0 )
                    = ( X6 @ X1 ) )
                 => ( ( X6 @ X2 )
                   != ( X6 @ X3 ) ) )
             => ( ( X6 @ X4 )
               != ( X6 @ X5 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> ! [X1: $i] :
        ~ ! [X2: $i > $i] :
            ( ~ ( ( ( X2 @ eigen__0 )
                 != ( X2 @ X1 ) )
               => ( ( X2 @ eigen__0 )
                  = ( X2 @ X1 ) ) )
           => ( ( X2 @ eigen__0 )
             != ( X2 @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
        ~ ! [X10: $i > $i] :
            ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ~ ( ( ( X10 @ eigen__0 )
                                        = ( X10 @ X1 ) )
                                     => ( ( X10 @ X6 )
                                       != ( X10 @ X9 ) ) )
                                 => ( ( X10 @ X2 )
                                    = ( X10 @ X5 ) ) )
                               => ~ ( ~ ( ( ( X10 @ X8 )
                                          = ( X10 @ X9 ) )
                                       => ( ( X10 @ eigen__0 )
                                         != ( X10 @ X3 ) ) )
                                   => ( ( X10 @ X4 )
                                     != ( X10 @ X7 ) ) ) )
                           => ~ ( ~ ( ~ ( ~ ( ( ( X10 @ X2 )
                                              = ( X10 @ X3 ) )
                                           => ( ( X10 @ X3 )
                                             != ( X10 @ X4 ) ) )
                                       => ( ( X10 @ X4 )
                                         != ( X10 @ X5 ) ) )
                                   => ( ( X10 @ eigen__0 )
                                      = ( X10 @ X1 ) ) )
                               => ( ( X10 @ X6 )
                                 != ( X10 @ X9 ) ) ) )
                       => ~ ( ~ ( ( ( X10 @ X4 )
                                  = ( X10 @ X5 ) )
                               => ( ( X10 @ eigen__0 )
                                  = ( X10 @ X3 ) ) )
                           => ( ( X10 @ X6 )
                              = ( X10 @ X9 ) ) ) )
                   => ~ ( ~ ( ~ ( ( ( X10 @ X6 )
                                  = ( X10 @ X7 ) )
                               => ( ( X10 @ X8 )
                                 != ( X10 @ X9 ) ) )
                           => ( ( X10 @ X2 )
                             != ( X10 @ X5 ) ) )
                       => ( ( X10 @ eigen__0 )
                         != ( X10 @ X1 ) ) ) )
               => ~ ( ~ ( ~ ( ~ ( ( ( X10 @ eigen__0 )
                                  = ( X10 @ X1 ) )
                               => ( ( X10 @ X1 )
                                 != ( X10 @ X2 ) ) )
                           => ( ( X10 @ X2 )
                             != ( X10 @ X3 ) ) )
                       => ( ( X10 @ X6 )
                          = ( X10 @ X9 ) ) )
                   => ( ( X10 @ X4 )
                      = ( X10 @ X7 ) ) ) )
           => ( ~ ( ~ ( ~ ( ( ( X10 @ eigen__0 )
                            = ( X10 @ X1 ) )
                         => ( ( X10 @ X2 )
                           != ( X10 @ X3 ) ) )
                     => ( ( X10 @ X4 )
                       != ( X10 @ X5 ) ) )
                 => ( ( X10 @ X6 )
                   != ( X10 @ X7 ) ) )
             => ( ( X10 @ X8 )
               != ( X10 @ X9 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(cSIXFRIENDS_PTH,conjecture,
    ~ sP10 ).

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

thf(1,plain,
    ~ sP6,
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP12
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP8
    | sP12 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP3
    | sP8 ),
    inference(all_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP7
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ( ~ sP11
    | sP7 ),
    inference(all_rule,[status(thm)],]) ).

thf(7,plain,
    ( ~ sP2
    | sP11 ),
    inference(all_rule,[status(thm)],]) ).

thf(8,plain,
    ( ~ sP5
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP4
    | sP5 ),
    inference(all_rule,[status(thm)],]) ).

thf(10,plain,
    ( ~ sP13
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(11,plain,
    ( ~ sP9
    | sP13 ),
    inference(all_rule,[status(thm)],]) ).

thf(12,plain,
    ( ~ sP1
    | sP9 ),
    inference(all_rule,[status(thm)],]) ).

thf(13,plain,
    ( ~ sP10
    | sP1 ),
    inference(all_rule,[status(thm)],]) ).

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

thf(0,theorem,
    ~ sP10,
    inference(contra,[status(thm),contra(discharge,[h0])],[14,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ093^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n019.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  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 22:05:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  % Mode: cade22grackle2xfee4
% 0.19/0.43  % Steps: 15
% 0.19/0.43  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------