TSTP Solution File: SWW238+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW238+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.Q2h2Jemwuo true

% Computer : n004.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 01:41:16 EDT 2023

% Result   : Theorem 8.66s 1.82s
% Output   : Refutation 8.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   38 (  18 unt;  12 typ;   0 def)
%            Number of atoms       :   34 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  278 (   8   ~;   5   |;   0   &; 262   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_c_____type,type,
    v_c____: $i ).

thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

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

thf(v_aa_____type,type,
    v_aa____: $i ).

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

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

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

thf(c_RealVector_Onorm__class_Onorm_type,type,
    c_RealVector_Onorm__class_Onorm: $i > $i > $i ).

thf(class_Rings_Ocomm__semiring__1_type,type,
    class_Rings_Ocomm__semiring__1: $i > $o ).

thf(v_z_____type,type,
    v_z____: $i ).

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

thf(c_Orderings_Oord__class_Oless__eq_type,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).

thf(conj_0,conjecture,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_aa____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_aa____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1781,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_aa____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).

thf(zip_derived_cl1651,plain,
    class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).

thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
    ! [V_a: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__1 @ T_a )
     => ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
        = V_a ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Groups_Oplus__class_Oplus @ X1 @ ( c_Groups_Ozero__class_Ozero @ X1 ) @ X0 )
        = X0 )
      | ~ ( class_Rings_Ocomm__semiring__1 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J]) ).

thf(zip_derived_cl7753,plain,
    ! [X0: $i] :
      ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 )
      = X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1651,zip_derived_cl36]) ).

thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
    ! [V_c: $i,V_b: $i,V_a: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__1 @ T_a )
     => ( ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_b ) @ V_c )
        = ( c_Groups_Oplus__class_Oplus @ T_a @ ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c ) @ V_b ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( c_Groups_Oplus__class_Oplus @ X0 @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X3 ) @ X2 )
        = ( c_Groups_Oplus__class_Oplus @ X0 @ ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) @ X3 ) )
      | ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J]) ).

thf(zip_derived_cl9606,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X1 ) @ X0 )
        = ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ X1 ) )
      | ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7753,zip_derived_cl70]) ).

thf(zip_derived_cl7753_001,plain,
    ! [X0: $i] :
      ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 )
      = X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1651,zip_derived_cl36]) ).

thf(zip_derived_cl1651_002,plain,
    class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).

thf(zip_derived_cl9620,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ X0 )
      = ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9606,zip_derived_cl7753,zip_derived_cl1651]) ).

thf(zip_derived_cl9825,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ v_aa____ @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1781,zip_derived_cl9620]) ).

thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [V_c: $i,V_a: $i,T_a: $i] :
      ( ( class_Rings_Ocomm__semiring__1 @ T_a )
     => ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c )
        = ( c_Groups_Oplus__class_Oplus @ T_a @ V_c @ V_a ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
        = ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
      | ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).

thf(fact_complex__mod__triangle__sub,axiom,
    ! [V_z: $i,V_w: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ V_w ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ V_w @ V_z ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ V_z ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ X1 ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_complex__mod__triangle__sub]) ).

thf(zip_derived_cl9620_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X1 @ X0 )
      = ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9606,zip_derived_cl7753,zip_derived_cl1651]) ).

thf(zip_derived_cl9824,plain,
    ! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X0 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl9620]) ).

thf(zip_derived_cl10601,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl9824]) ).

thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ).

thf(zip_derived_cl1697,plain,
    class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
    inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

thf(zip_derived_cl10621,plain,
    ! [X0: $i,X1: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Oplus__class_Oplus @ tc_Complex_Ocomplex @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10601,zip_derived_cl1697]) ).

thf(zip_derived_cl10807,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9825,zip_derived_cl10621]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW238+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q2h2Jemwuo true
% 0.13/0.34  % Computer : n004.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 Aug 27 17:59:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 8.66/1.82  % Solved by fo/fo6_bce.sh.
% 8.66/1.82  % BCE start: 1782
% 8.66/1.82  % BCE eliminated: 19
% 8.66/1.82  % PE start: 1763
% 8.66/1.82  logic: eq
% 8.66/1.82  % PE eliminated: 52
% 8.66/1.82  % done 388 iterations in 1.099s
% 8.66/1.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.66/1.82  % SZS output start Refutation
% See solution above
% 8.66/1.83  
% 8.66/1.83  
% 8.66/1.83  % Terminating...
% 9.25/1.94  % Runner terminated.
% 9.25/1.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------