TSTP Solution File: GEO464+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO464+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 03:45:51 EDT 2022

% Result   : Theorem 12.55s 6.54s
% Output   : CNFRefutation 12.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   20 (   2 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   22 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4236,negated_conjecture,
    ~ p(s(bool,i(s(fun(fun(cart(real,esk1618_0),bool),bool),i(s(fun(cart(real,esk1618_0),fun(fun(cart(real,esk1618_0),bool),bool)),in),s(cart(real,esk1618_0),i(s(fun(cart(real,esk1618_0),cart(real,esk1618_0)),i(s(fun(real,fun(cart(real,esk1618_0),cart(real,esk1618_0))),r_),s(real,esk1620_0))),s(cart(real,esk1618_0),esk1619_0))))),s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kytfyxka/lgb.p',i_0_4236) ).

cnf(i_0_2132,plain,
    s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X3))) = s(bool,i(s(fun(X1,bool),X3),s(X1,X2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kytfyxka/lgb.p',i_0_2132) ).

cnf(i_0_4323,plain,
    ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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,X2))),s(cart(real,X1),X3))))),s(fun(cart(real,X1),bool),X4))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X4))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X3))),s(fun(cart(real,X1),bool),X4)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kytfyxka/lgb.p',i_0_4323) ).

cnf(i_0_4237,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1618_0),bool),bool),i(s(fun(cart(real,esk1618_0),fun(fun(cart(real,esk1618_0),bool),bool)),in),s(cart(real,esk1618_0),esk1619_0))),s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kytfyxka/lgb.p',i_0_4237) ).

cnf(i_0_4325,plain,
    p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kytfyxka/lgb.p',i_0_4325) ).

cnf(c_0_4331,negated_conjecture,
    ~ p(s(bool,i(s(fun(fun(cart(real,esk1618_0),bool),bool),i(s(fun(cart(real,esk1618_0),fun(fun(cart(real,esk1618_0),bool),bool)),in),s(cart(real,esk1618_0),i(s(fun(cart(real,esk1618_0),cart(real,esk1618_0)),i(s(fun(real,fun(cart(real,esk1618_0),cart(real,esk1618_0))),r_),s(real,esk1620_0))),s(cart(real,esk1618_0),esk1619_0))))),s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0)))))),
    i_0_4236 ).

cnf(c_0_4332,plain,
    s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X3))) = s(bool,i(s(fun(X1,bool),X3),s(X1,X2))),
    i_0_2132 ).

cnf(c_0_4333,plain,
    ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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,X2))),s(cart(real,X1),X3))))),s(fun(cart(real,X1),bool),X4))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X4))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X3))),s(fun(cart(real,X1),bool),X4)))) ),
    i_0_4323 ).

cnf(c_0_4334,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1618_0),bool),bool),i(s(fun(cart(real,esk1618_0),fun(fun(cart(real,esk1618_0),bool),bool)),in),s(cart(real,esk1618_0),esk1619_0))),s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0)))))),
    i_0_4237 ).

cnf(c_0_4335,negated_conjecture,
    ~ p(s(bool,i(s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0))),s(cart(real,esk1618_0),i(s(fun(cart(real,esk1618_0),cart(real,esk1618_0)),i(s(fun(real,fun(cart(real,esk1618_0),cart(real,esk1618_0))),r_),s(real,esk1620_0))),s(cart(real,esk1618_0),esk1619_0)))))),
    inference(rw,[status(thm)],[c_0_4331,c_0_4332]) ).

cnf(c_0_4336,plain,
    ( p(s(bool,i(s(fun(cart(real,X1),bool),X2),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,X3))),s(cart(real,X1),X4))))))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),X2),s(cart(real,X1),X4)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4333,c_0_4332]),c_0_4332]) ).

cnf(c_0_4337,plain,
    p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))),
    i_0_4325 ).

cnf(c_0_4338,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1618_0),bool),i(s(fun(fun(cart(real,esk1618_0),bool),fun(cart(real,esk1618_0),bool)),span),s(fun(cart(real,esk1618_0),bool),esk1621_0))),s(cart(real,esk1618_0),esk1619_0)))),
    inference(rw,[status(thm)],[c_0_4334,c_0_4332]) ).

cnf(c_0_4339,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4335,c_0_4336]),c_0_4337]),c_0_4338])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO464+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n010.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  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 08:43:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.67/0.86  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.86  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.67/0.86  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.67/0.86  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.55/6.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.55/6.54  # No SInE strategy applied
% 12.55/6.54  # Trying AutoSched0 for 148 seconds
% 12.55/6.54  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 12.55/6.54  # and selection function SelectMaxLComplexAvoidPosPred.
% 12.55/6.54  #
% 12.55/6.54  # Preprocessing time       : 0.025 s
% 12.55/6.54  
% 12.55/6.54  # Proof found!
% 12.55/6.54  # SZS status Theorem
% 12.55/6.54  # SZS output start CNFRefutation
% See solution above
% 12.55/6.54  # Training examples: 0 positive, 0 negative
% 12.55/6.54  
% 12.55/6.54  # -------------------------------------------------
% 12.55/6.54  # User time                : 0.036 s
% 12.55/6.54  # System time              : 0.004 s
% 12.55/6.54  # Total time               : 0.040 s
% 12.55/6.54  # Maximum resident set size: 7772 pages
% 12.55/6.54  
%------------------------------------------------------------------------------