%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWW036_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n027.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 Sep 29 20:55:52 EDT 2022

% Result   : CounterSatisfiable 2.39s 1.90s
% Output   : Model 2.39s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff(z4_type,type,
    z4: $int ).

tff(z3_type,type,
    z3: $int ).

tff(z5_type,type,
    z5: $int ).

tff(z1_type,type,
    z1: $int ).

tff(z2_type,type,
    z2: $int ).

tff(z6_type,type,
    z6: $int ).

tff(a_type,type,
    a: $int > $int ).

tff(b_type,type,
    b: $int > $int ).

tff(formula1,axiom,
    z4 = 1 ).

tff(formula2,axiom,
    z3 = -2 ).

tff(formula3,axiom,
    z5 = 2 ).

tff(formula4,axiom,
    z1 = 0 ).

tff(formula5,axiom,
    z2 = -1 ).

tff(formula6,axiom,
    z6 = 3 ).

tff(formula7,axiom,
    ! [X0: $int] :
      ( a(X0)
      = ite_t(
          ( ( X0 != -1 )
          & ( X0 != 0 )
          & ( X0 = 2 ) ),
          3,
          ite_t(
            ( ( X0 != -1 )
            & ( X0 != 0 )
            & ( X0 != 2 )
            & ( X0 != -2 ) ),
            2,
            ite_t(
              ( ( X0 != -1 )
              & ( X0 != 0 )
              & ( X0 != 2 )
              & ( X0 = -2 ) ),
              6,
              ite_t(X0 = -1,10,
                ite_t(
                  ( ( X0 != -1 )
                  & ( X0 = 0 ) ),
                  2,18))))) ) ).

tff(formula8,axiom,
    ! [X0: $int] :
      ( b(X0)
      = ite_t(
          ( ( X0 != -1 )
          & ( X0 != 0 )
          & ( X0 != 2 )
          & ( X0 != -2 ) ),
          1,
          ite_t(
            ( ( X0 != -1 )
            & ( X0 != 0 )
            & ( X0 != 2 )
            & ( X0 = -2 ) ),
            3,
            ite_t(
              ( ( X0 != -1 )
              & ( X0 = 0 ) ),
              1,
              ite_t(
                ( ( X0 != -1 )
                & ( X0 != 0 )
                & ( X0 = 2 ) ),
                5,ite_t(X0 = -1,1,19))))) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWW036_1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.14  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35  % Computer : n027.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  : 300
% 0.14/0.35  % DateTime : Sun Sep  4 11:59:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 2.39/1.90  % SZS status CounterSatisfiable
% 2.39/1.90  % SZS output start Model
% See solution above
%------------------------------------------------------------------------------