TSTP Solution File: GEO473+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO473+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 03:45:54 EDT 2022

% Result   : Theorem 9.67s 6.71s
% Output   : CNFRefutation 9.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  15 unt;   2 nHn;  10 RR)
%            Number of literals    :   31 (  21 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :   26 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_975,plain,
    s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),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))))) = s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_975) ).

cnf(i_0_963,negated_conjecture,
    ( s(num,i(s(fun(fun(cart(real,esk253_0),bool),num),dim),s(fun(cart(real,esk253_0),bool),esk254_0))) = s(num,i(s(fun(fun(esk253_0,bool),num),dimindex),s(fun(esk253_0,bool),univ)))
    | s(fun(cart(real,esk253_0),bool),i(s(fun(fun(cart(real,esk253_0),bool),fun(cart(real,esk253_0),bool)),span),s(fun(cart(real,esk253_0),bool),esk254_0))) = s(fun(cart(real,esk253_0),bool),univ) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_963) ).

cnf(i_0_979,plain,
    s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),univ))) = s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_979) ).

cnf(i_0_965,plain,
    ( 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))) = 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),X3)))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X2))),s(fun(cart(real,X1),bool),X3))))
    | ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X3))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_965) ).

cnf(i_0_2331,plain,
    s(fun(X1,bool),i(s(fun(fun(X1,bool),fun(X1,bool)),i(s(fun(X1,fun(fun(X1,bool),fun(X1,bool))),insert),s(X1,X2))),s(fun(X1,bool),univ))) = s(fun(X1,bool),univ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_2331) ).

cnf(i_0_4416,plain,
    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),univ))) = s(fun(cart(real,X1),bool),univ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_4416) ).

cnf(i_0_4509,plain,
    p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),X2))),s(fun(X1,bool),univ)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_4509) ).

cnf(i_0_964,negated_conjecture,
    ( s(num,i(s(fun(fun(cart(real,esk253_0),bool),num),dim),s(fun(cart(real,esk253_0),bool),esk254_0))) != s(num,i(s(fun(fun(esk253_0,bool),num),dimindex),s(fun(esk253_0,bool),univ)))
    | s(fun(cart(real,esk253_0),bool),i(s(fun(fun(cart(real,esk253_0),bool),fun(cart(real,esk253_0),bool)),span),s(fun(cart(real,esk253_0),bool),esk254_0))) != s(fun(cart(real,esk253_0),bool),univ) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_964) ).

cnf(i_0_2762,plain,
    p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X1)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fe_ptcga/lgb.p',i_0_2762) ).

cnf(c_0_4519,plain,
    s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),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))))) = s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2))),
    i_0_975 ).

cnf(c_0_4520,negated_conjecture,
    ( s(num,i(s(fun(fun(cart(real,esk253_0),bool),num),dim),s(fun(cart(real,esk253_0),bool),esk254_0))) = s(num,i(s(fun(fun(esk253_0,bool),num),dimindex),s(fun(esk253_0,bool),univ)))
    | s(fun(cart(real,esk253_0),bool),i(s(fun(fun(cart(real,esk253_0),bool),fun(cart(real,esk253_0),bool)),span),s(fun(cart(real,esk253_0),bool),esk254_0))) = s(fun(cart(real,esk253_0),bool),univ) ),
    i_0_963 ).

cnf(c_0_4521,plain,
    s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),univ))) = s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))),
    i_0_979 ).

cnf(c_0_4522,plain,
    ( 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))) = 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),X3)))
    | ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(fun(cart(real,X1),bool),fun(fun(cart(real,X1),bool),bool)),subset),s(fun(cart(real,X1),bool),X2))),s(fun(cart(real,X1),bool),X3))))
    | ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X3))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2)))))) ),
    i_0_965 ).

cnf(c_0_4523,plain,
    s(fun(X1,bool),i(s(fun(fun(X1,bool),fun(X1,bool)),i(s(fun(X1,fun(fun(X1,bool),fun(X1,bool))),insert),s(X1,X2))),s(fun(X1,bool),univ))) = s(fun(X1,bool),univ),
    i_0_2331 ).

cnf(c_0_4524,plain,
    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),univ))) = s(fun(cart(real,X1),bool),univ),
    i_0_4416 ).

cnf(c_0_4525,plain,
    p(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(fun(X1,bool),fun(fun(X1,bool),bool)),subset),s(fun(X1,bool),X2))),s(fun(X1,bool),univ)))),
    i_0_4509 ).

cnf(c_0_4526,negated_conjecture,
    ( s(num,i(s(fun(fun(cart(real,esk253_0),bool),num),dim),s(fun(cart(real,esk253_0),bool),esk254_0))) != s(num,i(s(fun(fun(esk253_0,bool),num),dimindex),s(fun(esk253_0,bool),univ)))
    | s(fun(cart(real,esk253_0),bool),i(s(fun(fun(cart(real,esk253_0),bool),fun(cart(real,esk253_0),bool)),span),s(fun(cart(real,esk253_0),bool),esk254_0))) != s(fun(cart(real,esk253_0),bool),univ) ),
    i_0_964 ).

cnf(c_0_4527,negated_conjecture,
    s(num,i(s(fun(fun(cart(real,esk253_0),bool),num),dim),s(fun(cart(real,esk253_0),bool),esk254_0))) = s(num,i(s(fun(fun(esk253_0,bool),num),dimindex),s(fun(esk253_0,bool),univ))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4519,c_0_4520]),c_0_4521])]) ).

cnf(c_0_4528,plain,
    ( 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))) = s(fun(cart(real,X1),bool),univ)
    | ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))))),s(num,i(s(fun(fun(cart(real,X1),bool),num),dim),s(fun(cart(real,X1),bool),X2)))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4522,c_0_4523]),c_0_4524]),c_0_4521]),c_0_4525])]) ).

cnf(c_0_4529,plain,
    p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X1))),s(num,X1)))),
    i_0_2762 ).

cnf(c_0_4530,negated_conjecture,
    s(fun(cart(real,esk253_0),bool),i(s(fun(fun(cart(real,esk253_0),bool),fun(cart(real,esk253_0),bool)),span),s(fun(cart(real,esk253_0),bool),esk254_0))) != s(fun(cart(real,esk253_0),bool),univ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4526,c_0_4527])]) ).

cnf(c_0_4531,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4528,c_0_4527]),c_0_4529])]),c_0_4530]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO473+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 : n010.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 : Sat Jun 18 14:15:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.61/0.86  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.86  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.61/0.86  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.61/0.86  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.67/6.71  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.67/6.71  # No SInE strategy applied
% 9.67/6.71  # Trying AutoSched0 for 148 seconds
% 9.67/6.71  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.67/6.71  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.67/6.71  #
% 9.67/6.71  # Preprocessing time       : 0.024 s
% 9.67/6.71  # Presaturation interreduction done
% 9.67/6.71  
% 9.67/6.71  # Proof found!
% 9.67/6.71  # SZS status Theorem
% 9.67/6.71  # SZS output start CNFRefutation
% See solution above
% 9.67/6.71  # Training examples: 0 positive, 0 negative
% 9.67/6.71  
% 9.67/6.71  # -------------------------------------------------
% 9.67/6.71  # User time                : 0.031 s
% 9.67/6.71  # System time              : 0.010 s
% 9.67/6.71  # Total time               : 0.041 s
% 9.67/6.71  # Maximum resident set size: 8016 pages
% 9.67/6.71  
%------------------------------------------------------------------------------