%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP191^1 : 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 : 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  : 600s
% DateTime : Sun Jul 17 00:29:27 EDT 2022

% Result   : Theorem 47.73s 47.66s
% Output   : Proof 47.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  120 (   7 equ;   0 cnn)
%            Maximal formula atoms :   27 (   7 avg)
%            Number of connectives :  117 (  13   ~;   4   |;   0   &;  95   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;  30 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
    ~ ! [X1: pi] :
        ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ X1 ) )
       => ~ ( strong2129052853vative @ X1 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ) ).

thf(h0,negated_conjecture,
    ! [X1: pi] :
      ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ X1 ) )
     => ~ ( strong2129052853vative @ X1 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(pax134,axiom,
    ( p134
   => ! [X630: name,X631: name] :
        ( ( flate_OutputR @ X630 @ X631 )
       != flate_TauR ) ),
    file('<stdin>',pax134) ).

thf(pax3,axiom,
    ( p3
   => ( ( flate_OutputR @ fab @ fx )
      = flate_TauR ) ),
    file('<stdin>',pax3) ).

thf(ax1005,axiom,
    p134,
    file('<stdin>',ax1005) ).

thf(ax1136,axiom,
    p3,
    file('<stdin>',ax1136) ).

thf(c_0_4,plain,
    ! [X14139: name,X14140: name] :
      ( ~ p134
      | ( ( flate_OutputR @ X14139 @ X14140 )
       != flate_TauR ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax134])])])]) ).

thf(c_0_5,plain,
    ( ~ p3
    | ( ( flate_OutputR @ fab @ fx )
      = flate_TauR ) ),
    inference(fof_nnf,[status(thm)],[pax3]) ).

thf(c_0_6,plain,
    ! [X2: name,X8: name] :
      ( ~ p134
      | ( ( flate_OutputR @ X2 @ X8 )
       != flate_TauR ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,plain,
    p134,
    inference(split_conjunct,[status(thm)],[ax1005]) ).

thf(c_0_8,plain,
    ( ( ( flate_OutputR @ fab @ fx )
      = flate_TauR )
    | ~ p3 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    p3,
    inference(split_conjunct,[status(thm)],[ax1136]) ).

thf(c_0_10,plain,
    ! [X2: name,X8: name] :
      ( ( flate_OutputR @ X2 @ X8 )
     != flate_TauR ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

thf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),c_0_10]),
    [proof] ).

thf(1,plain,
    $false,
    inference(eprover,[status(thm),assumptions([h0])],]) ).

thf(0,theorem,
    ~ ! [X1: pi] :
        ( ( late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ ( late_BoundOutputS @ ab ) @ y @ X1 ) )
       => ~ ( strong2129052853vative @ X1 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ ( par @ ( subs @ p2 @ ya @ c ) @ q2 ) ) @ ( late_BoundOutputS @ ab ) @ y @ rel ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP191^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 02:47:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 47.73/47.66  % SZS status Theorem
% 47.73/47.66  % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 47.73/47.66  % Inferences: 312
% 47.73/47.66  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------