TSTP Solution File: SWW215+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW215+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.uW4nQSCB1e true

% Computer : n002.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 01:41:12 EDT 2023

% Result   : Theorem 1.30s 1.21s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   34 (  13 unt;  11 typ;   0 def)
%            Number of atoms       :   38 (   1 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  178 (  12   ~;  10   |;   0   &; 151   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_z_type,type,
    v_z: $i ).

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

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

thf(v_w_____type,type,
    v_w____: $i ).

thf(class_Orderings_Olinorder_type,type,
    class_Orderings_Olinorder: $i > $o ).

thf(c_Orderings_Oord__class_Oless_type,type,
    c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).

thf(c_Groups_Ominus__class_Ominus_type,type,
    c_Groups_Ominus__class_Ominus: $i > $i > $i > $i ).

thf(v_da_____type,type,
    v_da____: $i ).

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

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

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

thf(fact_H_I2_J,axiom,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_da____ @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ).

thf(zip_derived_cl2,plain,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_da____ @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ),
    inference(cnf,[status(esa)],[fact_H_I2_J]) ).

thf(fact_less__eq__real__def,axiom,
    ! [V_y_2: $i,V_x_2: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
    <=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
        | ( V_x_2 = V_y_2 ) ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_less__eq__real__def]) ).

thf(zip_derived_cl2437,plain,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_da____ @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl79]) ).

thf(fact_real__le__linear,axiom,
    ! [V_w: $i,V_z: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_w @ V_z )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_z @ V_w ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_real__le__linear]) ).

thf(conj_0,conjecture,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1793,plain,
    ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2095,plain,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1793]) ).

thf(fact_real__le__trans,axiom,
    ! [V_k: $i,V_j: $i,V_i: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i @ V_j )
     => ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_j @ V_k )
       => ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i @ V_k ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 @ X0 )
      | ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_real__le__trans]) ).

thf(zip_derived_cl2598,plain,
    ! [X0: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) )
      | ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2095,zip_derived_cl12]) ).

thf(zip_derived_cl2928,plain,
    c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_da____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2437,zip_derived_cl2598]) ).

thf(fact_leD,axiom,
    ! [V_x: $i,V_y: $i,T_a: $i] :
      ( ( class_Orderings_Olinorder @ T_a )
     => ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y @ V_x )
       => ~ ( c_Orderings_Oord__class_Oless @ T_a @ V_x @ V_y ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X2 )
      | ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ X1 )
      | ~ ( class_Orderings_Olinorder @ X0 ) ),
    inference(cnf,[status(esa)],[fact_leD]) ).

thf(zip_derived_cl2934,plain,
    ( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
    | ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ v_da____ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2928,zip_derived_cl55]) ).

thf(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder @ tc_RealDef_Oreal ).

thf(zip_derived_cl1671,plain,
    class_Orderings_Olinorder @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).

thf(fact_H_I5_J,axiom,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ v_da____ ).

thf(zip_derived_cl3,plain,
    c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_Groups_Ominus__class_Ominus @ tc_Complex_Ocomplex @ v_w____ @ v_z ) ) @ v_da____,
    inference(cnf,[status(esa)],[fact_H_I5_J]) ).

thf(zip_derived_cl2938,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2934,zip_derived_cl1671,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW215+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uW4nQSCB1e true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 22:28:34 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/1.21  % Solved by fo/fo5.sh.
% 1.30/1.21  % done 759 iterations in 0.422s
% 1.30/1.21  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/1.21  % SZS output start Refutation
% See solution above
% 1.30/1.21  
% 1.30/1.21  
% 1.30/1.21  % Terminating...
% 1.30/1.24  % Runner terminated.
% 1.30/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------