%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : MGT066-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n025.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 05:22:21 EDT 2022

% Result   : Satisfiable 0.19s 0.38s
% Output   : Model 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff(smaller_type,type,
    smaller: ( $i * $i ) > $o ).

tff(greater_or_equal_type,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(smaller_or_equal_type,type,
    smaller_or_equal: ( $i * $i ) > $o ).

tff(greater_type,type,
    greater: ( $i * $i ) > $o ).

tff(formula1,axiom,
    ! [X0: $i,X1: $i] :
      ( smaller(X0,X1)
    <=> $false ) ).

tff(formula2,axiom,
    ! [X0: $i,X1: $i] :
      ( greater_or_equal(X0,X1)
    <=> $true ) ).

tff(formula3,axiom,
    ! [X0: $i,X1: $i] :
      ( smaller_or_equal(X0,X1)
    <=> $true ) ).

tff(formula4,axiom,
    ! [X0: $i,X1: $i] :
      ( greater(X0,X1)
    <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT066-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n025.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 03:07:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 0.19/0.38  % SZS status Satisfiable
% 0.19/0.38  % SZS output start Model
% See solution above
%------------------------------------------------------------------------------