TSTP Solution File: GEO443+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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  : 600s
% DateTime : Sat Jul 16 03:45:46 EDT 2022

% Result   : Theorem 13.94s 8.14s
% Output   : CNFRefutation 13.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   7 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   12 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1249,negated_conjecture,
    s(real,i(s(fun(prod(cart(real,esk422_0),cart(real,esk422_0)),real),distance),s(prod(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0))),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0)))),c_),s(cart(real,esk422_0),esk423_0))),s(cart(real,esk422_0),esk424_0))))) != s(real,i(s(fun(prod(cart(real,esk422_0),cart(real,esk422_0)),real),distance),s(prod(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0))),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0)))),c_),s(cart(real,esk422_0),esk424_0))),s(cart(real,esk422_0),esk423_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgs8ma8g/lgb.p',i_0_1249) ).

cnf(i_0_1226,plain,
    s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgs8ma8g/lgb.p',i_0_1226) ).

cnf(i_0_3252,plain,
    s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgs8ma8g/lgb.p',i_0_3252) ).

cnf(c_0_3256,negated_conjecture,
    s(real,i(s(fun(prod(cart(real,esk422_0),cart(real,esk422_0)),real),distance),s(prod(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0))),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0)))),c_),s(cart(real,esk422_0),esk423_0))),s(cart(real,esk422_0),esk424_0))))) != s(real,i(s(fun(prod(cart(real,esk422_0),cart(real,esk422_0)),real),distance),s(prod(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0))),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),prod(cart(real,esk422_0),cart(real,esk422_0)))),c_),s(cart(real,esk422_0),esk424_0))),s(cart(real,esk422_0),esk423_0))))),
    i_0_1249 ).

cnf(c_0_3257,plain,
    s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
    i_0_1226 ).

cnf(c_0_3258,negated_conjecture,
    s(real,i(s(fun(cart(real,esk422_0),real),vectoru_norm),s(cart(real,esk422_0),i(s(fun(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),cart(real,esk422_0))),vectoru_sub),s(cart(real,esk422_0),esk423_0))),s(cart(real,esk422_0),esk424_0))))) != s(real,i(s(fun(cart(real,esk422_0),real),vectoru_norm),s(cart(real,esk422_0),i(s(fun(cart(real,esk422_0),cart(real,esk422_0)),i(s(fun(cart(real,esk422_0),fun(cart(real,esk422_0),cart(real,esk422_0))),vectoru_sub),s(cart(real,esk422_0),esk424_0))),s(cart(real,esk422_0),esk423_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3256,c_0_3257]),c_0_3257]) ).

cnf(c_0_3259,plain,
    s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))))),
    i_0_3252 ).

cnf(c_0_3260,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3258,c_0_3259])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 18 08:41:44 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.59/0.78  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.78  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.59/0.78  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.59/0.78  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.94/8.14  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.94/8.14  # No SInE strategy applied
% 13.94/8.14  # Trying AutoSched0 for 147 seconds
% 13.94/8.14  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 13.94/8.14  # and selection function SelectComplexExceptUniqMaxHorn.
% 13.94/8.14  #
% 13.94/8.14  # Preprocessing time       : 0.020 s
% 13.94/8.14  # Presaturation interreduction done
% 13.94/8.14  
% 13.94/8.14  # Proof found!
% 13.94/8.14  # SZS status Theorem
% 13.94/8.14  # SZS output start CNFRefutation
% See solution above
% 13.94/8.14  # Training examples: 0 positive, 0 negative
% 13.94/8.14  
% 13.94/8.14  # -------------------------------------------------
% 13.94/8.14  # User time                : 0.021 s
% 13.94/8.14  # System time              : 0.005 s
% 13.94/8.14  # Total time               : 0.026 s
% 13.94/8.14  # Maximum resident set size: 7124 pages
% 13.94/8.14  
%------------------------------------------------------------------------------