TSTP Solution File: SWW213+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Saomum7W9 true

% Computer : n012.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 01:41:11 EDT 2023

% Result   : Theorem 135.36s 20.05s
% Output   : Refutation 135.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   30 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   32 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  248 (  17   ~;   9   |;   0   &; 218   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Groups_Oplus__class_Oplus_type,type,
    c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).

thf(v_p_type,type,
    v_p: $i ).

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

thf(c_Polynomial_Opoly_type,type,
    c_Polynomial_Opoly: $i > $i > $i ).

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

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

thf(v_z_type,type,
    v_z: $i ).

thf(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly_type,type,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: $i > $i > $i > $i ).

thf(class_Rings_Ocomm__semiring__0_type,type,
    class_Rings_Ocomm__semiring__0: $i > $o ).

thf(sk__23_type,type,
    sk__23: $i > $i ).

thf(c_Polynomial_Odegree_type,type,
    c_Polynomial_Odegree: $i > $i > $i ).

thf(fact_poly__offset__poly,axiom,
    ! [V_x: $i,V_h: $i,V_p: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__0 @ T_a )
     => ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ T_a @ V_p @ V_h ) ) @ V_x )
        = ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_h @ V_x ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 ) ) @ X3 )
        = ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X3 ) ) )
      | ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_poly__offset__poly]) ).

thf(fact_degree__offset__poly,axiom,
    ! [V_h: $i,V_p: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__0 @ T_a )
     => ( ( c_Polynomial_Odegree @ T_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ T_a @ V_p @ V_h ) )
        = ( c_Polynomial_Odegree @ T_a @ V_p ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( c_Polynomial_Odegree @ X0 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ X0 @ X1 @ X2 ) )
        = ( c_Polynomial_Odegree @ X0 @ X1 ) )
      | ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_degree__offset__poly]) ).

thf(conj_0,axiom,
    ! [B_q: $i] :
      ( ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ B_q )
        = ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) )
     => ( ! [B_x: $i] :
            ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ B_q ) @ B_x )
            = ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ B_x ) ) )
       => v_thesis____ ) ) ).

thf(zip_derived_cl1663,plain,
    ! [X0: $i] :
      ( v_thesis____
      | ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__23 @ X0 ) )
       != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ 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_cl1664,plain,
    ~ v_thesis____,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4894,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ X0 ) @ ( sk__23 @ X0 ) )
       != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ X0 ) ) ) )
      | ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1663,zip_derived_cl1664]) ).

thf(zip_derived_cl65020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
       != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
      | ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4894]) ).

thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1581,plain,
    class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

thf(zip_derived_cl65033,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) )
       != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ) )
      | ( ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ X0 )
       != ( c_Polynomial_Odegree @ tc_Complex_Ocomplex @ v_p ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl65020,zip_derived_cl1581]) ).

thf(zip_derived_cl95693,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) )
     != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl65033]) ).

thf(zip_derived_cl96833,plain,
    ! [X0: $i] :
      ( ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex )
      | ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) )
       != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl95693]) ).

thf(zip_derived_cl1581_001,plain,
    class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

thf(zip_derived_cl96837,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) )
     != ( hAPP @ ( c_Polynomial_Opoly @ tc_Complex_Ocomplex @ v_p ) @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_z @ ( sk__23 @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ tc_Complex_Ocomplex @ v_p @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl96833,zip_derived_cl1581]) ).

thf(zip_derived_cl96850,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl96837]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW213+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Saomum7W9 true
% 0.19/0.35  % Computer : n012.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Sun Aug 27 22:06:55 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.61/0.86  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 135.36/20.05  % Solved by fo/fo6_bce.sh.
% 135.36/20.05  % BCE start: 1665
% 135.36/20.05  % BCE eliminated: 30
% 135.36/20.05  % PE start: 1635
% 135.36/20.05  logic: eq
% 135.36/20.05  % PE eliminated: -1
% 135.36/20.05  % done 4419 iterations in 19.319s
% 135.36/20.05  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 135.36/20.05  % SZS output start Refutation
% See solution above
% 135.36/20.05  
% 135.36/20.05  
% 135.36/20.05  % Terminating...
% 135.36/20.10  % Runner terminated.
% 135.36/20.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------