%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP191^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : lash -P picomus -M modes -p tstp -t %d %s

% Computer : n031.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 04:02:49 EDT 2023

% Result   : Theorem 0.21s 0.50s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_name,type,
    name: $tType ).

thf(ty_late_TauR,type,
    late_TauR: late_freeRes ).

thf(ty_late_OutputR,type,
    late_OutputR: name > name > late_freeRes ).

thf(ty_x,type,
    x: name ).

thf(ty_ab,type,
    ab: name ).

thf(sP1,plain,
    ( sP1
  <=> ( ( late_OutputR @ ab @ x )
      = late_TauR ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: name,X2: name] :
        ( ( late_OutputR @ X1 @ X2 )
       != late_TauR ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: name] :
        ( ( late_OutputR @ ab @ X1 )
       != late_TauR ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

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(1,plain,
    ( ~ sP3
    | ~ sP1 ),
    inference(all_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP2
    | sP3 ),
    inference(all_rule,[status(thm)],]) ).

thf(fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
    sP2 ).

thf(fact_1_cComm1_Ohyps_I9_J,axiom,
    sP1 ).

thf(3,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J,fact_1_cComm1_Ohyps_I9_J]) ).

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])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : ITP191^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 17:26:39 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  % SZS status Theorem
% 0.21/0.50  % Mode: cade22sinegrackle2x6978
% 0.21/0.50  % Steps: 1243
% 0.21/0.50  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------