%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP135^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n023.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 : Sun Jul 17 00:29:14 EDT 2022

% Result   : Theorem 24.14s 24.02s
% Output   : Proof 24.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_paraco1605129243lle_tv,type,
    paraco1605129243lle_tv: $tType ).

thf(ty_list_char,type,
    list_char: $tType ).

thf(ty_paraco1604210848lle_fm,type,
    paraco1604210848lle_fm: $tType ).

thf(ty_nat,type,
    nat: $tType ).

thf(ty_p2,type,
    p2: paraco1604210848lle_fm ).

thf(ty_i,type,
    i: list_char > paraco1605129243lle_tv ).

thf(ty_paraco1147068288nge_tv,type,
    paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).

thf(ty_paraco1325918602e_eval,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(ty_paraco761681009ge_int,type,
    paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).

thf(ty_f,type,
    f: nat > nat ).

thf(sP1,plain,
    ( sP1
  <=> ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
      = ( paraco1344940915le_Det @ ~ $false ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
        = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) )
     => ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
        = ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: paraco1605129243lle_tv] :
        ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
          = X1 )
       => ( X1
          = ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
      = ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1344940915le_Det @ ~ $false ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
      = ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ! [X1: paraco1605129243lle_tv,X2: paraco1605129243lle_tv] :
        ( ( X1 = X2 )
       => ( X2 = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(conj_0,conjecture,
    sP5 ).

thf(h0,negated_conjecture,
    ~ sP5,
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(1,plain,
    ( ~ sP6
    | sP5
    | ~ sP4
    | ~ sP1 ),
    inference(confrontation_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP2
    | ~ sP6
    | sP4 ),
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP3
    | sP2 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP7
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(5,plain,
    sP7,
    inference(eq_sym,[status(thm)],]) ).

thf(fact_2_ih2,axiom,
    sP6 ).

thf(fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062,axiom,
    sP1 ).

thf(6,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,h0,fact_2_ih2,fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062]) ).

thf(0,theorem,
    sP5,
    inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP135^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun  3 04:24:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 24.14/24.02  % SZS status Theorem
% 24.14/24.02  % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 24.14/24.02  % Inferences: 4084
% 24.14/24.02  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------