%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV023+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 15:09:41 EDT 2022

% Result   : Theorem 0.19s 0.41s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   18 (   3 unt;  12 typ;   0 def)
%            Number of atoms       :   47 (  16 equ)
%            Maximal formula atoms :   22 (   7 avg)
%            Number of connectives :   54 (  13   ~;   8   |;  24   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(true_type,type,
    true: $o ).

tff(init_type,type,
    init: $i ).

tff(a_select2_type,type,
    a_select2: ( $i * $i ) > $i ).

tff(s_values7_init_type,type,
    s_values7_init: $i ).

tff(leq_type,type,
    leq: ( $i * $i ) > $o ).

tff(n3_type,type,
    n3: $i ).

tff(n0_type,type,
    n0: $i ).

tff(a_select3_type,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(simplex7_init_type,type,
    simplex7_init: $i ).

tff(n2_type,type,
    n2: $i ).

tff(sigma_init_type,type,
    sigma_init: $i ).

tff(i0_init_type,type,
    i0_init: $i ).

tff(1,plain,
    ( ~ ( ( ( i0_init = init )
          & ( sigma_init = init )
          & ! [A: $i] :
              ( ( leq(n0,A)
                & leq(A,n2) )
             => ! [B: $i] :
                  ( ( leq(n0,B)
                    & leq(B,n3) )
                 => ( a_select3(simplex7_init,B,A) = init ) ) )
          & ! [C: $i] :
              ( ( leq(n0,C)
                & leq(C,n3) )
             => ( a_select2(s_values7_init,C) = init ) ) )
       => true )
  <=> ~ ( true
        | ~ ( ( i0_init = init )
            & ( sigma_init = init )
            & ! [A: $i] :
                ( ~ ( leq(n0,A)
                    & leq(A,n2) )
                | ! [B: $i] :
                    ( ~ ( leq(n0,B)
                        & leq(B,n3) )
                    | ( a_select3(simplex7_init,B,A) = init ) ) )
            & ! [C: $i] :
                ( ~ ( leq(n0,C)
                    & leq(C,n3) )
                | ( a_select2(s_values7_init,C) = init ) ) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    ~ ( ( ( i0_init = init )
        & ( sigma_init = init )
        & ! [A: $i] :
            ( ( leq(n0,A)
              & leq(A,n2) )
           => ! [B: $i] :
                ( ( leq(n0,B)
                  & leq(B,n3) )
               => ( a_select3(simplex7_init,B,A) = init ) ) )
        & ! [C: $i] :
            ( ( leq(n0,C)
              & leq(C,n3) )
           => ( a_select2(s_values7_init,C) = init ) ) )
     => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0005) ).

tff(3,plain,
    ~ ( true
      | ~ ( ( i0_init = init )
          & ( sigma_init = init )
          & ! [A: $i] :
              ( ~ ( leq(n0,A)
                  & leq(A,n2) )
              | ! [B: $i] :
                  ( ~ ( leq(n0,B)
                      & leq(B,n3) )
                  | ( a_select3(simplex7_init,B,A) = init ) ) )
          & ! [C: $i] :
              ( ~ ( leq(n0,C)
                  & leq(C,n3) )
              | ( a_select2(s_values7_init,C) = init ) ) ) ),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ~ true,
    inference(or_elim,[status(thm)],[3]) ).

tff(5,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).

tff(6,plain,
    $false,
    inference(unit_resolution,[status(thm)],[5,4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV023+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Sep  4 01:28:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------