TSTP Solution File: GEO466+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO466+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 03:45:52 EDT 2022

% Result   : Theorem 11.09s 6.13s
% Output   : CNFRefutation 11.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  14 unt;   0 nHn;  13 RR)
%            Number of literals    :   26 (   2 equ;  12 neg)
%            Maximal clause size   :    4 (   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 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4180,negated_conjecture,
    ~ p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),i(s(fun(cart(real,esk1598_0),cart(real,esk1598_0)),i(s(fun(cart(real,esk1598_0),fun(cart(real,esk1598_0),cart(real,esk1598_0))),vectoru_sub),s(cart(real,esk1598_0),esk1599_0))),s(cart(real,esk1598_0),esk1600_0))))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_eir765_/lgb.p',i_0_4180) ).

cnf(i_0_2077,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-_eir765_/lgb.p',i_0_2077) ).

cnf(i_0_4274,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(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),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))))
    | ~ 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),X2))),s(fun(cart(real,X1),bool),X4)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_eir765_/lgb.p',i_0_4274) ).

cnf(i_0_4181,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),esk1600_0))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_eir765_/lgb.p',i_0_4181) ).

cnf(i_0_4182,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),esk1599_0))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_eir765_/lgb.p',i_0_4182) ).

cnf(i_0_4273,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-_eir765_/lgb.p',i_0_4273) ).

cnf(c_0_4281,negated_conjecture,
    ~ p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),i(s(fun(cart(real,esk1598_0),cart(real,esk1598_0)),i(s(fun(cart(real,esk1598_0),fun(cart(real,esk1598_0),cart(real,esk1598_0))),vectoru_sub),s(cart(real,esk1598_0),esk1599_0))),s(cart(real,esk1598_0),esk1600_0))))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    i_0_4180 ).

cnf(c_0_4282,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_2077 ).

cnf(c_0_4283,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(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),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))))
    | ~ 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),X2))),s(fun(cart(real,X1),bool),X4)))) ),
    i_0_4274 ).

cnf(c_0_4284,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),esk1600_0))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    i_0_4181 ).

cnf(c_0_4285,negated_conjecture,
    p(s(bool,i(s(fun(fun(cart(real,esk1598_0),bool),bool),i(s(fun(cart(real,esk1598_0),fun(fun(cart(real,esk1598_0),bool),bool)),in),s(cart(real,esk1598_0),esk1599_0))),s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0)))))),
    i_0_4182 ).

cnf(c_0_4286,negated_conjecture,
    ~ p(s(bool,i(s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0))),s(cart(real,esk1598_0),i(s(fun(cart(real,esk1598_0),cart(real,esk1598_0)),i(s(fun(cart(real,esk1598_0),fun(cart(real,esk1598_0),cart(real,esk1598_0))),vectoru_sub),s(cart(real,esk1598_0),esk1599_0))),s(cart(real,esk1598_0),esk1600_0)))))),
    inference(rw,[status(thm)],[c_0_4281,c_0_4282]) ).

cnf(c_0_4287,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(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),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))))
    | ~ p(s(bool,i(s(fun(cart(real,X1),bool),X2),s(cart(real,X1),X3)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4283,c_0_4282]),c_0_4282]),c_0_4282]) ).

cnf(c_0_4288,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_4273 ).

cnf(c_0_4289,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0))),s(cart(real,esk1598_0),esk1600_0)))),
    inference(rw,[status(thm)],[c_0_4284,c_0_4282]) ).

cnf(c_0_4290,negated_conjecture,
    p(s(bool,i(s(fun(cart(real,esk1598_0),bool),i(s(fun(fun(cart(real,esk1598_0),bool),fun(cart(real,esk1598_0),bool)),span),s(fun(cart(real,esk1598_0),bool),esk1601_0))),s(cart(real,esk1598_0),esk1599_0)))),
    inference(rw,[status(thm)],[c_0_4285,c_0_4282]) ).

cnf(c_0_4291,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4286,c_0_4287]),c_0_4288]),c_0_4289]),c_0_4290])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO466+1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n011.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 07:42:54 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.42  # ENIGMATIC: Selected SinE mode:
% 0.45/0.67  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.67  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.67  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.67  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.09/6.13  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.09/6.13  # No SInE strategy applied
% 11.09/6.13  # Trying AutoSched0 for 148 seconds
% 11.09/6.13  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.09/6.13  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.09/6.13  #
% 11.09/6.13  # Preprocessing time       : 0.025 s
% 11.09/6.13  # Presaturation interreduction done
% 11.09/6.13  
% 11.09/6.13  # Proof found!
% 11.09/6.13  # SZS status Theorem
% 11.09/6.13  # SZS output start CNFRefutation
% See solution above
% 11.09/6.13  # Training examples: 0 positive, 0 negative
% 11.09/6.13  
% 11.09/6.13  # -------------------------------------------------
% 11.09/6.13  # User time                : 0.038 s
% 11.09/6.13  # System time              : 0.007 s
% 11.09/6.13  # Total time               : 0.044 s
% 11.09/6.13  # Maximum resident set size: 7788 pages
% 11.09/6.13  
%------------------------------------------------------------------------------