TSTP Solution File: SWV957-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV957-1 : TPTP v8.1.0. Released v4.1.0.
% 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 15:25:04 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   17 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   0   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   2   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(c_WellTypeRT_OWTrt_type,type,
    c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).

tff(c_Type_Oty_OClass_type,type,
    c_Type_Oty_OClass: $i > $i ).

tff(v_C_H_____type,type,
    v_C_H____: $i ).

tff(v_e_Ha_____type,type,
    v_e_Ha____: $i ).

tff(v_E_____type,type,
    v_E____: $i ).

tff(v_h_Ha_____type,type,
    v_h_Ha____: $i ).

tff(v_P_type,type,
    v_P: $i ).

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

tff(1,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
  <=> ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

tff(3,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
    inference(rewrite,[status(thm)],]) ).

tff(5,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
    inference(rewrite,[status(thm)],]) ).

tff(6,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_H_0) ).

tff(7,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(modus_ponens,[status(thm)],[6,5]) ).

tff(8,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    inference(modus_ponens,[status(thm)],[7,4]) ).

tff(9,plain,
    $false,
    inference(unit_resolution,[status(thm)],[8,3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV957-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.36  % Computer : n016.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Sun Sep  4 10:49:08 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.37  Usage: tptp [options] [-file:]file
% 0.13/0.37    -h, -?       prints this message.
% 0.13/0.37    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.37    -m, -model   generate model.
% 0.13/0.37    -p, -proof   generate proof.
% 0.13/0.37    -c, -core    generate unsat core of named formulas.
% 0.13/0.37    -st, -statistics display statistics.
% 0.13/0.37    -t:timeout   set timeout (in second).
% 0.13/0.37    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.37    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.37    -<param>:<value> configuration parameter and value.
% 0.13/0.37    -o:<output-file> file to place output in.
% 0.21/0.49  % SZS status Unsatisfiable
% 0.21/0.49  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------