TSTP Solution File: GEO447+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO447+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 14.83s 7.91s
% Output   : CNFRefutation 14.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  18 unt;   2 nHn;  19 RR)
%            Number of literals    :   30 (   9 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   2 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   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4544,plain,
    ~ p(s(bool,f0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_4544) ).

cnf(i_0_532,plain,
    ( s(bool,X1) = s(bool,f0)
    | s(bool,X1) = s(bool,t) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_532) ).

cnf(i_0_3801,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1413_0))),s(cart(real,esk1410_0),esk1411_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_3801) ).

cnf(i_0_3807,plain,
    s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X3))) = s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_3807) ).

cnf(i_0_3802,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1412_0))),s(cart(real,esk1410_0),esk1411_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_3802) ).

cnf(i_0_3800,negated_conjecture,
    ~ p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),i(s(fun(cart(real,esk1410_0),cart(real,esk1410_0)),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),cart(real,esk1410_0))),vectoru_add),s(cart(real,esk1410_0),esk1412_0))),s(cart(real,esk1410_0),esk1413_0))))),s(cart(real,esk1410_0),esk1411_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_3800) ).

cnf(i_0_3795,plain,
    ( p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),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_add),s(cart(real,X1),X3))),s(cart(real,X1),X4))))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X4))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X3)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_3795) ).

cnf(i_0_5336,plain,
    p(s(bool,t)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-evlldbbb/lgb.p',i_0_5336) ).

cnf(c_0_5345,plain,
    ~ p(s(bool,f0)),
    i_0_4544 ).

cnf(c_0_5346,plain,
    ( s(bool,X1) = s(bool,f0)
    | s(bool,X1) = s(bool,t) ),
    i_0_532 ).

cnf(c_0_5347,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1413_0))),s(cart(real,esk1410_0),esk1411_0)))),
    i_0_3801 ).

cnf(c_0_5348,plain,
    s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X3))) = s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
    i_0_3807 ).

cnf(c_0_5349,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1412_0))),s(cart(real,esk1410_0),esk1411_0)))),
    i_0_3802 ).

cnf(c_0_5350,negated_conjecture,
    ~ p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),i(s(fun(cart(real,esk1410_0),cart(real,esk1410_0)),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),cart(real,esk1410_0))),vectoru_add),s(cart(real,esk1410_0),esk1412_0))),s(cart(real,esk1410_0),esk1413_0))))),s(cart(real,esk1410_0),esk1411_0)))),
    i_0_3800 ).

cnf(c_0_5351,plain,
    ( s(bool,X1) = s(bool,t)
    | ~ p(s(bool,X1)) ),
    inference(spm,[status(thm)],[c_0_5345,c_0_5346]) ).

cnf(c_0_5352,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1411_0))),s(cart(real,esk1410_0),esk1413_0)))),
    inference(rw,[status(thm)],[c_0_5347,c_0_5348]) ).

cnf(c_0_5353,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1411_0))),s(cart(real,esk1410_0),esk1412_0)))),
    inference(rw,[status(thm)],[c_0_5349,c_0_5348]) ).

cnf(c_0_5354,negated_conjecture,
    ~ p(s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1411_0))),s(cart(real,esk1410_0),i(s(fun(cart(real,esk1410_0),cart(real,esk1410_0)),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),cart(real,esk1410_0))),vectoru_add),s(cart(real,esk1410_0),esk1412_0))),s(cart(real,esk1410_0),esk1413_0)))))),
    inference(rw,[status(thm)],[c_0_5350,c_0_5348]) ).

cnf(c_0_5355,plain,
    ( p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),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_add),s(cart(real,X1),X3))),s(cart(real,X1),X4))))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X4))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),i(s(fun(cart(real,X1),fun(cart(real,X1),bool)),orthogonal),s(cart(real,X1),X2))),s(cart(real,X1),X3)))) ),
    i_0_3795 ).

cnf(c_0_5356,plain,
    s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1411_0))),s(cart(real,esk1410_0),esk1413_0))) = s(bool,t),
    inference(spm,[status(thm)],[c_0_5351,c_0_5352]) ).

cnf(c_0_5357,plain,
    p(s(bool,t)),
    i_0_5336 ).

cnf(c_0_5358,plain,
    s(bool,i(s(fun(cart(real,esk1410_0),bool),i(s(fun(cart(real,esk1410_0),fun(cart(real,esk1410_0),bool)),orthogonal),s(cart(real,esk1410_0),esk1411_0))),s(cart(real,esk1410_0),esk1412_0))) = s(bool,t),
    inference(spm,[status(thm)],[c_0_5351,c_0_5353]) ).

cnf(c_0_5359,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5354,c_0_5355]),c_0_5356]),c_0_5357]),c_0_5358]),c_0_5357])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO447+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 18 04:38:00 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.59/0.80  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.80  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.59/0.80  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.59/0.80  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.83/7.91  # ENIGMATIC: Solved by autoschedule-lgb:
% 14.83/7.91  # No SInE strategy applied
% 14.83/7.91  # Trying AutoSched0 for 148 seconds
% 14.83/7.91  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.83/7.91  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.83/7.91  #
% 14.83/7.91  # Preprocessing time       : 0.025 s
% 14.83/7.91  # Presaturation interreduction done
% 14.83/7.91  
% 14.83/7.91  # Proof found!
% 14.83/7.91  # SZS status Theorem
% 14.83/7.91  # SZS output start CNFRefutation
% See solution above
% 14.83/7.91  # Training examples: 0 positive, 0 negative
% 14.83/7.91  
% 14.83/7.91  # -------------------------------------------------
% 14.83/7.91  # User time                : 0.055 s
% 14.83/7.91  # System time              : 0.006 s
% 14.83/7.91  # Total time               : 0.061 s
% 14.83/7.91  # Maximum resident set size: 7120 pages
% 14.83/7.91  
%------------------------------------------------------------------------------