%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV818-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n024.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 15:24:37 EDT 2022

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (  10 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   2   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
tff(v_t_type,type,
    v_t: $i ).

tff(v_s_type,type,
    v_s: $i ).

tff(v_ta_type,type,
    v_ta: $i ).

tff(1,plain,
    ( ! [V_s: $i] : ( V_s = v_ta )
  <=> ! [V_s: $i] : ( V_s = v_ta ) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    ! [V_s: $i] : ( V_s = v_ta ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

tff(3,plain,
    ! [V_s: $i] : ( V_s = v_ta ),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ! [V_s: $i] : ( V_s = v_ta ),
    inference(skolemize,[status(sab)],[3]) ).

tff(5,plain,
    ( ~ ! [V_s: $i] : ( V_s = v_ta )
    | ( v_t = v_ta ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(6,plain,
    v_t = v_ta,
    inference(unit_resolution,[status(thm)],[5,4]) ).

tff(7,plain,
    v_ta = v_t,
    inference(symmetry,[status(thm)],[6]) ).

tff(8,plain,
    ( ~ ! [V_s: $i] : ( V_s = v_ta )
    | ( v_s = v_ta ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(9,plain,
    v_s = v_ta,
    inference(unit_resolution,[status(thm)],[8,4]) ).

tff(10,plain,
    v_s = v_t,
    inference(transitivity,[status(thm)],[9,7]) ).

tff(11,plain,
    ( ( v_s != v_t )
  <=> ( v_s != v_t ) ),
    inference(rewrite,[status(thm)],]) ).

tff(12,axiom,
    v_s != v_t,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

tff(13,plain,
    v_s != v_t,
    inference(modus_ponens,[status(thm)],[12,11]) ).

tff(14,plain,
    $false,
    inference(unit_resolution,[status(thm)],[13,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV818-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n024.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Sep  4 08:17:48 EDT 2022
% 0.12/0.34  % 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.
% 0.12/0.39  % SZS status Unsatisfiable
% 0.12/0.39  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------