%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP040^1 : 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 : n018.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 00:28:52 EDT 2022

% Result   : Theorem 45.88s 46.07s
% Output   : Proof 45.88s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_oDE_a_c,type,
    oDE_a_c: $tType ).

thf(ty_denota231621370t_unit,type,
    denota231621370t_unit: $tType ).

thf(ty_set_c,type,
    set_c: $tType ).

thf(ty_c,type,
    c: $tType ).

thf(ty_static_FVO_a_c,type,
    static_FVO_a_c: oDE_a_c > set_c ).

thf(ty_i,type,
    i: denota231621370t_unit ).

thf(ty_member_c,type,
    member_c: c > set_c > $o ).

thf(ty_oDEa,type,
    oDEa: oDE_a_c ).

thf(ty_denota540094197_a_b_c,type,
    denota540094197_a_b_c: denota231621370t_unit > oDE_a_c > set_c ).

thf(ty_i2,type,
    i2: c ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: c,X2: denota231621370t_unit,X3: oDE_a_c] :
        ( ( member_c @ X1 @ ( denota540094197_a_b_c @ X2 @ X3 ) )
       => ( member_c @ X1 @ ( static_FVO_a_c @ X3 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ! [X1: oDE_a_c] :
        ( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ X1 ) )
       => ( member_c @ i2 @ ( static_FVO_a_c @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( sP2
     => sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ! [X1: denota231621370t_unit,X2: oDE_a_c] :
        ( ( member_c @ i2 @ ( denota540094197_a_b_c @ X1 @ X2 ) )
       => ( member_c @ i2 @ ( static_FVO_a_c @ X2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(conj_11,conjecture,
    ( ( finite772340578real_c @ ab @ i2 )
    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ).

thf(h0,negated_conjecture,
    ( finite772340578real_c @ ab @ i2 )
 != ( finite772340578real_c @ ( sol @ x ) @ i2 ),
    inference(assume_negation,[status(cth)],[conj_11]) ).

thf(1,plain,
    ( ~ sP5
    | ~ sP2
    | sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    ( ~ sP4
    | sP5 ),
    inference(all_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP6
    | sP4 ),
    inference(all_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP1
    | sP6 ),
    inference(all_rule,[status(thm)],]) ).

thf(conj_2,axiom,
    ~ sP3 ).

thf(conj_1,axiom,
    sP2 ).

thf(fact_0_ode__to__fvo,axiom,
    sP1 ).

thf(5,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,conj_2,conj_1,fact_0_ode__to__fvo]) ).

thf(0,theorem,
    ( ( finite772340578real_c @ ab @ i2 )
    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ),
    inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ITP040^1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.14  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun  3 10:17:46 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 45.88/46.07  % SZS status Theorem
% 45.88/46.07  % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 45.88/46.07  % Inferences: 37
% 45.88/46.07  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------