TSTP Solution File: ITP160^1 by Lash---1.13

%------------------------------------------------------------------------------
% File     : Lash---1.13
% Problem  : ITP160^1 : 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 : n002.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 04:02:36 EDT 2023

% Result   : Theorem 0.19s 0.47s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_set_Product_prod_a_c,type,
    set_Product_prod_a_c: $tType ).

thf(ty_set_Product_prod_b_d,type,
    set_Product_prod_b_d: $tType ).

thf(ty_fun_re439246495nres_d,type,
    fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(ty_refine737062560el_a_c,type,
    refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(ty_r1,type,
    r1: set_Product_prod_a_c ).

thf(ty_relAPP813854073nres_d,type,
    relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(ty_relAPP900772393nres_d,type,
    relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(ty_refine1564831968el_b_d,type,
    refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(ty_fun_re1760530651nres_d,type,
    fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(ty_relAPP511982311nres_d,type,
    relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(ty_produc1576596708nres_d,type,
    produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).

thf(ty_refine436832839nd_a_b,type,
    refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(ty_relAPP1270454529nres_d,type,
    relAPP1270454529nres_d: ( set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(ty_fun_re1394577105nres_d,type,
    fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(ty_relAPP98076839nres_d,type,
    relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(ty_refine2092371655nd_c_d,type,
    refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(ty_member65788417nres_d,type,
    member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).

thf(ty_relAPP527276399nres_c,type,
    relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(ty_relAPP1313094511nres_d,type,
    relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(ty_relAPP1396672239nres_d,type,
    relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(ty_r2,type,
    r2: set_Product_prod_b_d ).

thf(sP1,plain,
    ( sP1
  <=> ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ! [X1: set_Product_prod_a_c,X2: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(conj_0,conjecture,
    sP1 ).

thf(h0,negated_conjecture,
    ~ sP1,
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(1,plain,
    ( ~ sP2
    | sP1 ),
    inference(all_rule,[status(thm)],]) ).

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

thf(fact_4_param__bind,axiom,
    sP3 ).

thf(3,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,h0,fact_4_param__bind]) ).

thf(0,theorem,
    sP1,
    inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP160^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35  % Computer : n002.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  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 10:42:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  % Mode: cade22sinegrackle2x6978
% 0.19/0.47  % Steps: 79
% 0.19/0.47  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------