TSTP Solution File: GEO449+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO449+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 03:45:47 EDT 2022

% Result   : Theorem 11.61s 6.22s
% Output   : CNFRefutation 11.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (  11 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-2 aty)
%            Number of variables   :   27 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5086,plain,
    s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fx2fa_xo/lgb.p',i_0_5086) ).

cnf(i_0_3465,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fx2fa_xo/lgb.p',i_0_3465) ).

cnf(i_0_390,negated_conjecture,
    s(cart(real,esk61_0),i(s(fun(cart(real,esk60_0),cart(real,esk61_0)),i(s(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),esk62_0),s(cart(real,esk59_0),esk63_0))),s(cart(real,esk60_0),i(s(fun(num,cart(real,esk60_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(cart(real,esk61_0),i(s(fun(num,cart(real,esk61_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fx2fa_xo/lgb.p',i_0_390) ).

cnf(i_0_388,plain,
    ( s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4),s(cart(real,X3),X5))),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),i(s(fun(real,fun(cart(real,X2),cart(real,X2))),r_),s(real,X6))),s(cart(real,X2),X7))))) = s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X6))),s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4),s(cart(real,X3),X5))),s(cart(real,X2),X7)))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),bool),bilinear),s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fx2fa_xo/lgb.p',i_0_388) ).

cnf(i_0_391,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),bool),bilinear),s(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),esk62_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fx2fa_xo/lgb.p',i_0_391) ).

cnf(c_0_5092,plain,
    s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    i_0_5086 ).

cnf(c_0_5093,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3465 ).

cnf(c_0_5094,negated_conjecture,
    s(cart(real,esk61_0),i(s(fun(cart(real,esk60_0),cart(real,esk61_0)),i(s(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),esk62_0),s(cart(real,esk59_0),esk63_0))),s(cart(real,esk60_0),i(s(fun(num,cart(real,esk60_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(cart(real,esk61_0),i(s(fun(num,cart(real,esk61_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    i_0_390 ).

cnf(c_0_5095,plain,
    ( s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4),s(cart(real,X3),X5))),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),i(s(fun(real,fun(cart(real,X2),cart(real,X2))),r_),s(real,X6))),s(cart(real,X2),X7))))) = s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X6))),s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4),s(cart(real,X3),X5))),s(cart(real,X2),X7)))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),bool),bilinear),s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4)))) ),
    i_0_388 ).

cnf(c_0_5096,plain,
    s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5092,c_0_5093]),c_0_5093]) ).

cnf(c_0_5097,negated_conjecture,
    s(cart(real,esk61_0),i(s(fun(cart(real,esk60_0),cart(real,esk61_0)),i(s(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),esk62_0),s(cart(real,esk59_0),esk63_0))),s(cart(real,esk60_0),i(s(fun(num,cart(real,esk60_0)),vec),s(num,u_0))))) != s(cart(real,esk61_0),i(s(fun(num,cart(real,esk61_0)),vec),s(num,u_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5094,c_0_5093]),c_0_5093]) ).

cnf(c_0_5098,plain,
    ( s(cart(real,X1),i(s(fun(cart(real,X2),cart(real,X1)),i(s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4),s(cart(real,X3),X5))),s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,u_0))))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0)))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),bool),bilinear),s(fun(cart(real,X3),fun(cart(real,X2),cart(real,X1))),X4)))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5095,c_0_5096]),c_0_5096]) ).

cnf(c_0_5099,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),bool),bilinear),s(fun(cart(real,esk59_0),fun(cart(real,esk60_0),cart(real,esk61_0))),esk62_0)))),
    i_0_391 ).

cnf(c_0_5100,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5097,c_0_5098]),c_0_5099])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO449+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 19:50:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.63/0.81  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.81  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.63/0.81  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.63/0.81  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.61/6.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.61/6.22  # No SInE strategy applied
% 11.61/6.22  # Trying AutoSched0 for 148 seconds
% 11.61/6.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.61/6.22  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.61/6.22  #
% 11.61/6.22  # Preprocessing time       : 0.014 s
% 11.61/6.22  # Presaturation interreduction done
% 11.61/6.22  
% 11.61/6.22  # Proof found!
% 11.61/6.22  # SZS status Theorem
% 11.61/6.22  # SZS output start CNFRefutation
% See solution above
% 11.61/6.22  # Training examples: 0 positive, 0 negative
% 11.61/6.22  
% 11.61/6.22  # -------------------------------------------------
% 11.61/6.22  # User time                : 0.019 s
% 11.61/6.22  # System time              : 0.003 s
% 11.61/6.22  # Total time               : 0.023 s
% 11.61/6.22  # Maximum resident set size: 7456 pages
% 11.61/6.22  
%------------------------------------------------------------------------------