TSTP Solution File: SWW271+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW271+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IRY9I2dtCq true

% Computer : n009.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 : Fri Sep  1 01:41:23 EDT 2023

% Result   : Theorem 110.29s 16.34s
% Output   : Refutation 110.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   34 (  11 unt;  16 typ;   0 def)
%            Number of atoms       :   27 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  210 (   8   ~;   5   |;   0   &; 193   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^;  10   !;   1   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_qa_____type,type,
    v_qa____: $i ).

thf(v_thesis_____type,type,
    v_thesis____: $o ).

thf(class_Fields_Ofield_type,type,
    class_Fields_Ofield: $i > $o ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(tc_Complex_Ocomplex_type,type,
    tc_Complex_Ocomplex: $i ).

thf(v_a_____type,type,
    v_a____: $i ).

thf(class_Divides_Osemiring__div_type,type,
    class_Divides_Osemiring__div: $i > $o ).

thf(c_Polynomial_OpCons_type,type,
    c_Polynomial_OpCons: $i > $i > $i > $i ).

thf(c_Groups_Otimes__class_Otimes_type,type,
    c_Groups_Otimes__class_Otimes: $i > $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(c_Divides_Odiv__class_Odiv_type,type,
    c_Divides_Odiv__class_Odiv: $i > $i > $i > $i ).

thf(c_Groups_Ouminus__class_Ouminus_type,type,
    c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).

thf(c_Rings_Odvd__class_Odvd_type,type,
    c_Rings_Odvd__class_Odvd: $i > $i ).

thf(tc_Polynomial_Opoly_type,type,
    tc_Polynomial_Opoly: $i > $i ).

thf(c_Groups_Ozero__class_Ozero_type,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

thf(c_Groups_Oone__class_Oone_type,type,
    c_Groups_Oone__class_Oone: $i > $i ).

thf(fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ v_qa____ ) ).

thf(zip_derived_cl2,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ v_qa____ ),
    inference(cnf,[status(esa)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096]) ).

thf(fact_dvd__mult__div__cancel,axiom,
    ! [V_b: $i,V_a: $i,T_a: $i] :
      ( ( class_Divides_Osemiring__div @ T_a )
     => ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ T_a ) @ V_a ) @ V_b ) )
       => ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ ( c_Divides_Odiv__class_Odiv @ T_a @ V_b @ V_a ) )
          = V_b ) ) ) ).

thf(zip_derived_cl1292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ X0 ) @ X1 ) @ X2 ) )
      | ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( c_Divides_Odiv__class_Odiv @ X0 @ X2 @ X1 ) )
        = X2 )
      | ~ ( class_Divides_Osemiring__div @ X0 ) ),
    inference(cnf,[status(esa)],[fact_dvd__mult__div__cancel]) ).

thf(zip_derived_cl79856,plain,
    ( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ ( c_Divides_Odiv__class_Odiv @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) @ v_qa____ @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) )
      = v_qa____ )
    | ~ ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1292]) ).

thf(arity_Complex__Ocomplex__Fields_Ofield,axiom,
    class_Fields_Ofield @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1598,plain,
    class_Fields_Ofield @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Fields_Ofield]) ).

thf(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
    ! [T_1: $i] :
      ( ( class_Fields_Ofield @ T_1 )
     => ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ T_1 ) ) ) ).

thf(zip_derived_cl1635,plain,
    ! [X0: $i] :
      ( ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ X0 ) )
      | ~ ( class_Fields_Ofield @ X0 ) ),
    inference(cnf,[status(esa)],[arity_Polynomial__Opoly__Divides_Osemiring__div]) ).

thf(zip_derived_cl6375,plain,
    class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1598,zip_derived_cl1635]) ).

thf(zip_derived_cl79884,plain,
    ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ ( c_Divides_Odiv__class_Odiv @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) @ v_qa____ @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) )
    = v_qa____ ),
    inference(demod,[status(thm)],[zip_derived_cl79856,zip_derived_cl6375]) ).

thf(conj_0,axiom,
    ( ? [B_r: $i] :
        ( v_qa____
        = ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ B_r ) )
   => v_thesis____ ) ).

thf(zip_derived_cl1666,plain,
    ! [X0: $i] :
      ( v_thesis____
      | ( v_qa____
       != ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(conj_1,conjecture,
    v_thesis____ ).

thf(zf_stmt_0,negated_conjecture,
    ~ v_thesis____,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl1667,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5058,plain,
    ! [X0: $i] :
      ( v_qa____
     != ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1666,zip_derived_cl1667]) ).

thf(zip_derived_cl79885,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl79884,zip_derived_cl5058]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW271+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IRY9I2dtCq true
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 22:50:35 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 110.29/16.34  % Solved by fo/fo6_bce.sh.
% 110.29/16.34  % BCE start: 1668
% 110.29/16.34  % BCE eliminated: 27
% 110.29/16.34  % PE start: 1641
% 110.29/16.34  logic: eq
% 110.29/16.34  % PE eliminated: 33
% 110.29/16.34  % done 3483 iterations in 15.615s
% 110.29/16.34  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 110.29/16.34  % SZS output start Refutation
% See solution above
% 110.29/16.34  
% 110.29/16.34  
% 110.29/16.34  % Terminating...
% 110.51/16.39  % Runner terminated.
% 110.51/16.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------