%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : LCL854-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n028.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 : Sun Sep 18 04:58:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   10 (   3 unt;   7 typ;   0 def)
%            Number of atoms       :    3 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(c_Type_Otyping_type,type,
    c_Type_Otyping: ( $i * $i * $i ) > $o ).

tff(hAPP_type,type,
    hAPP: ( $i * $i ) > $i ).

tff(v_U_____type,type,
    v_U____: $i ).

tff(v_Ta_____type,type,
    v_Ta____: $i ).

tff(c_Type_Otype_OFun_type,type,
    c_Type_Otype_OFun: $i ).

tff(v_s_____type,type,
    v_s____: $i ).

tff(v_ea_____type,type,
    v_ea____: $i ).

tff(1,axiom,
    ~ c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

tff(2,axiom,
    c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_I1_J_0) ).

tff(3,plain,
    $false,
    inference(unit_resolution,[status(thm)],[2,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Sep  2 01:31:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.18/0.34  Usage: tptp [options] [-file:]file
% 0.18/0.34    -h, -?       prints this message.
% 0.18/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.18/0.34    -m, -model   generate model.
% 0.18/0.34    -p, -proof   generate proof.
% 0.18/0.34    -c, -core    generate unsat core of named formulas.
% 0.18/0.34    -st, -statistics display statistics.
% 0.18/0.34    -t:timeout   set timeout (in second).
% 0.18/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.18/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.18/0.34    -<param>:<value> configuration parameter and value.
% 0.18/0.34    -o:<output-file> file to place output in.
% 0.19/0.45  % SZS status Unsatisfiable
% 0.19/0.45  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------