TSTP Solution File: SYO089^5 by Satallax---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO089^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n013.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 : Thu Jul 21 19:30:14 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_p,type,
    p: $o ).

thf(ty_q,type,
    q: $o ).

thf(ty_s,type,
    s: $o ).

thf(ty_t,type,
    t: $o ).

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

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

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

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

thf(cDMG7,conjecture,
    ( ( ~ ( ~ ( ( ~ ( ( ~ ( sP4
                         => ~ sP2 )
                     => ( sP1
                       => ~ sP3 ) )
                   => ~ sP2 )
               => ( sP1
                 => ~ sP3 ) )
             => ~ sP2 )
         => ~ sP1 )
     => ~ sP3 )
   => ( ~ ( ( ~ ( ( ~ ( sP4
                     => ~ sP2 )
                 => ( sP1
                   => ~ sP3 ) )
               => ~ sP2 )
           => ( sP1
             => ~ sP3 ) )
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) ) ) ).

thf(h0,negated_conjecture,
    ~ ( ( ~ ( ~ ( ( ~ ( ( ~ ( sP4
                           => ~ sP2 )
                       => ( sP1
                         => ~ sP3 ) )
                     => ~ sP2 )
                 => ( sP1
                   => ~ sP3 ) )
               => ~ sP2 )
           => ~ sP1 )
       => ~ sP3 )
     => ( ~ ( ( ~ ( ( ~ ( sP4
                       => ~ sP2 )
                   => ( sP1
                     => ~ sP3 ) )
                 => ~ sP2 )
             => ( sP1
               => ~ sP3 ) )
           => ~ sP2 )
       => ( sP1
         => ~ sP3 ) ) ),
    inference(assume_negation,[status(cth)],[cDMG7]) ).

thf(h1,assumption,
    ( ~ ( ~ ( ( ~ ( ( ~ ( sP4
                       => ~ sP2 )
                   => ( sP1
                     => ~ sP3 ) )
                 => ~ sP2 )
             => ( sP1
               => ~ sP3 ) )
           => ~ sP2 )
       => ~ sP1 )
   => ~ sP3 ),
    introduced(assumption,[]) ).

thf(h2,assumption,
    ~ ( ~ ( ( ~ ( ( ~ ( sP4
                     => ~ sP2 )
                 => ( sP1
                   => ~ sP3 ) )
               => ~ sP2 )
           => ( sP1
             => ~ sP3 ) )
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) ),
    introduced(assumption,[]) ).

thf(h3,assumption,
    ( ~ ( ( ~ ( ( ~ ( sP4
                   => ~ sP2 )
               => ( sP1
                 => ~ sP3 ) )
             => ~ sP2 )
         => ( sP1
           => ~ sP3 ) )
       => ~ sP2 )
   => ~ sP1 ),
    introduced(assumption,[]) ).

thf(h4,assumption,
    ~ sP3,
    introduced(assumption,[]) ).

thf(h5,assumption,
    ( ( ~ ( ( ~ ( sP4
               => ~ sP2 )
           => ( sP1
             => ~ sP3 ) )
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) )
   => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h6,assumption,
    ~ sP1,
    introduced(assumption,[]) ).

thf(h7,assumption,
    ~ ( ~ ( ( ~ ( sP4
               => ~ sP2 )
           => ( sP1
             => ~ sP3 ) )
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) ),
    introduced(assumption,[]) ).

thf(h8,assumption,
    ~ sP2,
    introduced(assumption,[]) ).

thf(h9,assumption,
    ~ ( ( ~ ( sP4
           => ~ sP2 )
       => ( sP1
         => ~ sP3 ) )
     => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h10,assumption,
    ~ ( sP1
     => ~ sP3 ),
    introduced(assumption,[]) ).

thf(h11,assumption,
    ( ~ ( sP4
       => ~ sP2 )
   => ( sP1
     => ~ sP3 ) ),
    introduced(assumption,[]) ).

thf(h12,assumption,
    sP2,
    introduced(assumption,[]) ).

thf(h13,assumption,
    ( sP4
   => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h14,assumption,
    ( sP1
   => ~ sP3 ),
    introduced(assumption,[]) ).

thf(h15,assumption,
    ~ sP4,
    introduced(assumption,[]) ).

thf(h16,assumption,
    sP1,
    introduced(assumption,[]) ).

thf(h17,assumption,
    sP3,
    introduced(assumption,[]) ).

thf(h18,assumption,
    ~ ( ( ~ ( ( ~ ( sP4
                 => ~ sP2 )
             => ( sP1
               => ~ sP3 ) )
           => ~ sP2 )
       => ( sP1
         => ~ sP3 ) )
     => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h19,assumption,
    ( ~ ( ( ~ ( sP4
             => ~ sP2 )
         => ( sP1
           => ~ sP3 ) )
       => ~ sP2 )
   => ( sP1
     => ~ sP3 ) ),
    introduced(assumption,[]) ).

thf(h20,assumption,
    ( ( ~ ( sP4
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) )
   => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h21,assumption,
    ~ ( ~ ( sP4
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) ),
    introduced(assumption,[]) ).

thf(h22,assumption,
    ~ ( sP4
     => ~ sP2 ),
    introduced(assumption,[]) ).

thf(h23,assumption,
    sP4,
    introduced(assumption,[]) ).

thf(1,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h23,h15]) ).

thf(2,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,1,h16,h17]) ).

thf(3,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,2,h16,h17]) ).

thf(4,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,3,h23,h12]) ).

thf(5,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,4,h22,h10]) ).

thf(6,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(7,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,6,h16,h17]) ).

thf(8,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,5,7,h21,h8]) ).

thf(9,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(10,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,9,h16,h17]) ).

thf(11,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(12,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,11,h16,h17]) ).

thf(13,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,10,12,h6,h4]) ).

thf(14,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,8,13,h20,h14]) ).

thf(15,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,14,h19,h12]) ).

thf(16,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,15,h18,h10]) ).

thf(17,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h15,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,16,h16,h17]) ).

thf(18,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(19,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,18,h16,h17]) ).

thf(20,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,19,h16,h17]) ).

thf(21,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,20,h23,h12]) ).

thf(22,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,21,h22,h10]) ).

thf(23,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(24,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,23,h16,h17]) ).

thf(25,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,22,24,h21,h8]) ).

thf(26,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(27,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,26,h16,h17]) ).

thf(28,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(29,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,28,h16,h17]) ).

thf(30,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,27,29,h6,h4]) ).

thf(31,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,25,30,h20,h14]) ).

thf(32,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,31,h19,h12]) ).

thf(33,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,32,h18,h10]) ).

thf(34,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,33,h16,h17]) ).

thf(35,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h13,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h8])],[h13,17,34,h15,h8]) ).

thf(36,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(37,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,36,h16,h17]) ).

thf(38,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,37,h16,h17]) ).

thf(39,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,38,h23,h12]) ).

thf(40,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,39,h22,h10]) ).

thf(41,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(42,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,41,h16,h17]) ).

thf(43,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,40,42,h21,h8]) ).

thf(44,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(45,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,44,h16,h17]) ).

thf(46,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(47,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,46,h16,h17]) ).

thf(48,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,45,47,h6,h4]) ).

thf(49,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,43,48,h20,h14]) ).

thf(50,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,49,h19,h12]) ).

thf(51,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,50,h18,h10]) ).

thf(52,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,51,h16,h17]) ).

thf(53,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(54,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,53,h16,h17]) ).

thf(55,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,54,h16,h17]) ).

thf(56,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,55,h23,h12]) ).

thf(57,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,56,h22,h10]) ).

thf(58,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(59,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,58,h16,h17]) ).

thf(60,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,57,59,h21,h8]) ).

thf(61,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(62,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,61,h16,h17]) ).

thf(63,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(64,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,63,h16,h17]) ).

thf(65,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,62,64,h6,h4]) ).

thf(66,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,60,65,h20,h14]) ).

thf(67,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,66,h19,h12]) ).

thf(68,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,67,h18,h10]) ).

thf(69,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,68,h16,h17]) ).

thf(70,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,52,69,h6,h4]) ).

thf(71,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h11,h12,h9,h10,h7,h5,h3,h1,h2,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h14])],[h11,35,70,h13,h14]) ).

thf(72,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,71,h11,h12]) ).

thf(73,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,72,h9,h10]) ).

thf(74,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(75,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,74,h16,h17]) ).

thf(76,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,75,h16,h17]) ).

thf(77,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,76,h23,h12]) ).

thf(78,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,77,h22,h10]) ).

thf(79,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0])],[h12,h8]) ).

thf(80,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,79,h16,h17]) ).

thf(81,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,78,80,h21,h8]) ).

thf(82,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0])],[h16,h6]) ).

thf(83,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,82,h16,h17]) ).

thf(84,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0])],[h17,h4]) ).

thf(85,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,84,h16,h17]) ).

thf(86,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,83,85,h6,h4]) ).

thf(87,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h8,h5,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,81,86,h20,h14]) ).

thf(88,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,87,h19,h12]) ).

thf(89,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,88,h18,h10]) ).

thf(90,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,73,89,h7,h8]) ).

thf(91,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0])],[h16,h6]) ).

thf(92,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,91,h16,h17]) ).

thf(93,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,92,h16,h17]) ).

thf(94,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,93,h23,h12]) ).

thf(95,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,94,h22,h10]) ).

thf(96,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0])],[h12,h8]) ).

thf(97,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,96,h16,h17]) ).

thf(98,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,95,97,h21,h8]) ).

thf(99,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h6,h3,h1,h2,h0])],[h16,h6]) ).

thf(100,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,99,h16,h17]) ).

thf(101,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h6,h3,h1,h2,h0])],[h17,h4]) ).

thf(102,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,101,h16,h17]) ).

thf(103,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,100,102,h6,h4]) ).

thf(104,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h6,h3,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,98,103,h20,h14]) ).

thf(105,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,104,h19,h12]) ).

thf(106,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,105,h18,h10]) ).

thf(107,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,90,106,h5,h6]) ).

thf(108,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h4,h1,h2,h0])],[h17,h4]) ).

thf(109,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h16,h17,h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,108,h16,h17]) ).

thf(110,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h23,h12,h22,h10,h21,h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,109,h16,h17]) ).

thf(111,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h22,h10,h21,h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h12])],[h22,110,h23,h12]) ).

thf(112,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h21,h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h22,h10])],[h21,111,h22,h10]) ).

thf(113,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h8,h20,h19,h12,h18,h10,h4,h1,h2,h0])],[h12,h8]) ).

thf(114,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h8,h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,113,h16,h17]) ).

thf(115,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h20,h19,h12,h18,h10,h4,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h8])],[h20,112,114,h21,h8]) ).

thf(116,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h6,h14,h19,h12,h18,h10,h4,h1,h2,h0])],[h16,h6]) ).

thf(117,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h6,h14,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,116,h16,h17]) ).

thf(118,plain,
    $false,
    inference(tab_conflict,[status(thm),assumptions([h16,h17,h4,h14,h19,h12,h18,h10,h4,h1,h2,h0])],[h17,h4]) ).

thf(119,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h14,h19,h12,h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h10,118,h16,h17]) ).

thf(120,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h14,h19,h12,h18,h10,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h4])],[h14,117,119,h6,h4]) ).

thf(121,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h19,h12,h18,h10,h4,h1,h2,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h14])],[h19,115,120,h20,h14]) ).

thf(122,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h18,h10,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h12])],[h18,121,h19,h12]) ).

thf(123,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h18,h10])],[h2,122,h18,h10]) ).

thf(124,plain,
    $false,
    inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,107,123,h3,h4]) ).

thf(125,plain,
    $false,
    inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,124,h1,h2]) ).

thf(0,theorem,
    ( ( ~ ( ~ ( ( ~ ( ( ~ ( sP4
                         => ~ sP2 )
                     => ( sP1
                       => ~ sP3 ) )
                   => ~ sP2 )
               => ( sP1
                 => ~ sP3 ) )
             => ~ sP2 )
         => ~ sP1 )
     => ~ sP3 )
   => ( ~ ( ( ~ ( ( ~ ( sP4
                     => ~ sP2 )
                 => ( sP1
                   => ~ sP3 ) )
               => ~ sP2 )
           => ( sP1
             => ~ sP3 ) )
         => ~ sP2 )
     => ( sP1
       => ~ sP3 ) ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[125,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYO089^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 02:57:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Theorem
% 0.12/0.34  % Mode: mode213
% 0.12/0.34  % Inferences: 0
% 0.12/0.34  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------