TSTP Solution File: ALG353-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG353-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zWHLAjovkn true

% Computer : n027.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 : Wed Aug 30 17:12:54 EDT 2023

% Result   : Unsatisfiable 0.62s 0.95s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (  18 unt;   9 typ;   0 def)
%            Number of atoms       :   38 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  391 (  26   ~;   9   |;   0   &; 352   @)
%                                         (   0 <=>;   0  =>;   4  <=;   0 <~>)
%            Maximal formula depth :   12 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(c_HOL_Oone__class_Oone_type,type,
    c_HOL_Oone__class_Oone: $i > $i ).

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

thf(c_HOL_Oplus__class_Oplus_type,type,
    c_HOL_Oplus__class_Oplus: $i > $i > $i > $i ).

thf(c_HOL_Ominus__class_Ominus_type,type,
    c_HOL_Ominus__class_Ominus: $i > $i > $i > $i ).

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

thf(c_Complex_Oii_type,type,
    c_Complex_Oii: $i ).

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

thf(cls_CHAINED_0,axiom,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ) ).

thf(zip_derived_cl619,plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(cnf,[status(esa)],[cls_CHAINED_0]) ).

thf(zip_derived_cl746,plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
   <= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(split,[status(esa)],[zip_derived_cl619]) ).

thf(cls_conjecture_3,conjecture,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).

thf(zf_stmt_0,negated_conjecture,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('cnf.neg',[status(esa)],[cls_conjecture_3]) ).

thf(zip_derived_cl623,plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl748,plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
   <= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(split,[status(esa)],[zip_derived_cl619]) ).

thf('0',plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl748]) ).

thf(cls_conjecture_2,conjecture,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).

thf(zf_stmt_1,negated_conjecture,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('cnf.neg',[status(esa)],[cls_conjecture_2]) ).

thf(zip_derived_cl622,plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl747,plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
   <= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(split,[status(esa)],[zip_derived_cl619]) ).

thf('1',plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('s_sup-',[status(thm)],[zip_derived_cl622,zip_derived_cl747]) ).

thf(cls_conjecture_0,conjecture,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).

thf(zf_stmt_2,negated_conjecture,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('cnf.neg',[status(esa)],[cls_conjecture_0]) ).

thf(zip_derived_cl620,plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl745,plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
   <= ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(split,[status(esa)],[zip_derived_cl619]) ).

thf('2',plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('s_sup-',[status(thm)],[zip_derived_cl620,zip_derived_cl745]) ).

thf('3',plain,
    ( ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Oplus__class_Oplus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal )
    | ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ c_Complex_Oii @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ),
    inference(split,[status(esa)],[zip_derived_cl619]) ).

thf('4',plain,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl757,plain,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl746,'4']) ).

thf(cls_conjecture_1,conjecture,
    ~ ( c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal ) ).

thf(zf_stmt_3,negated_conjecture,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference('cnf.neg',[status(esa)],[cls_conjecture_1]) ).

thf(zip_derived_cl621,plain,
    c_lessequals @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ ( c_HOL_Ominus__class_Ominus @ v_z @ ( c_HOL_Oone__class_Oone @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_Complex_Ocomplex ) @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl760,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl621]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG353-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zWHLAjovkn true
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 06:25:21 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.23/0.70  % Total configuration time : 435
% 0.23/0.70  % Estimated wc time : 1092
% 0.23/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.95  % Solved by fo/fo1_av.sh.
% 0.62/0.95  % done 34 iterations in 0.105s
% 0.62/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.95  % SZS output start Refutation
% See solution above
% 0.62/0.95  
% 0.62/0.95  
% 0.62/0.95  % Terminating...
% 0.65/1.06  % Runner terminated.
% 0.65/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------