TSTP Solution File: GEO489+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO489+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 03:45:58 EDT 2022

% Result   : Theorem 13.71s 8.33s
% Output   : CNFRefutation 13.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  13 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (  13 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4916,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(fun(X1,X1),real),sign),s(fun(X1,X1),X2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_4916) ).

cnf(i_0_3864,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_3864) ).

cnf(i_0_1459,plain,
    ( s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),i(s(fun(fun(X1,X1),fun(X1,X1)),inverse),s(fun(X1,X1),X2))))) = s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),X2)))
    | ~ p(s(bool,i(s(fun(fun(X1,X1),bool),permutation),s(fun(X1,X1),X2)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_1459) ).

cnf(i_0_1399,plain,
    ( s(bool,X1) = s(bool,t)
    | ~ p(s(bool,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_1399) ).

cnf(i_0_4919,negated_conjecture,
    p(s(bool,i(s(fun(fun(esk1871_0,esk1871_0),bool),permutation),s(fun(esk1871_0,esk1871_0),esk1872_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_4919) ).

cnf(i_0_4918,negated_conjecture,
    s(real,i(s(fun(fun(esk1871_0,esk1871_0),real),sign),s(fun(esk1871_0,esk1871_0),i(s(fun(fun(esk1871_0,esk1871_0),fun(esk1871_0,esk1871_0)),inverse),s(fun(esk1871_0,esk1871_0),esk1872_0))))) != s(real,i(s(fun(fun(esk1871_0,esk1871_0),real),sign),s(fun(esk1871_0,esk1871_0),esk1872_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_4918) ).

cnf(i_0_5973,plain,
    p(s(bool,t)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-opff3l5l/lgb.p',i_0_5973) ).

cnf(c_0_5981,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(fun(X1,X1),real),sign),s(fun(X1,X1),X2))),
    i_0_4916 ).

cnf(c_0_5982,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3864 ).

cnf(c_0_5983,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),i(s(fun(bool,fun(real,fun(real,real))),cond),s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(real,i(s(fun(real,real),realu_neg),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(fun(X1,X1),real),sign),s(fun(X1,X1),X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5981,c_0_5982]),c_0_5982]) ).

cnf(c_0_5984,plain,
    ( s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),i(s(fun(fun(X1,X1),fun(X1,X1)),inverse),s(fun(X1,X1),X2))))) = s(bool,i(s(fun(fun(X1,X1),bool),evenperm),s(fun(X1,X1),X2)))
    | ~ p(s(bool,i(s(fun(fun(X1,X1),bool),permutation),s(fun(X1,X1),X2)))) ),
    i_0_1459 ).

cnf(c_0_5985,plain,
    ( s(bool,X1) = s(bool,t)
    | ~ p(s(bool,X1)) ),
    i_0_1399 ).

cnf(c_0_5986,negated_conjecture,
    p(s(bool,i(s(fun(fun(esk1871_0,esk1871_0),bool),permutation),s(fun(esk1871_0,esk1871_0),esk1872_0)))),
    i_0_4919 ).

cnf(c_0_5987,negated_conjecture,
    s(real,i(s(fun(fun(esk1871_0,esk1871_0),real),sign),s(fun(esk1871_0,esk1871_0),i(s(fun(fun(esk1871_0,esk1871_0),fun(esk1871_0,esk1871_0)),inverse),s(fun(esk1871_0,esk1871_0),esk1872_0))))) != s(real,i(s(fun(fun(esk1871_0,esk1871_0),real),sign),s(fun(esk1871_0,esk1871_0),esk1872_0))),
    i_0_4918 ).

cnf(c_0_5988,plain,
    ( s(real,i(s(fun(fun(X1,X1),real),sign),s(fun(X1,X1),i(s(fun(fun(X1,X1),fun(X1,X1)),inverse),s(fun(X1,X1),X2))))) = s(real,i(s(fun(fun(X1,X1),real),sign),s(fun(X1,X1),X2)))
    | ~ p(s(bool,i(s(fun(fun(X1,X1),bool),permutation),s(fun(X1,X1),X2)))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5983,c_0_5984]),c_0_5983]) ).

cnf(c_0_5989,negated_conjecture,
    s(bool,i(s(fun(fun(esk1871_0,esk1871_0),bool),permutation),s(fun(esk1871_0,esk1871_0),esk1872_0))) = s(bool,t),
    inference(spm,[status(thm)],[c_0_5985,c_0_5986]) ).

cnf(c_0_5990,plain,
    p(s(bool,t)),
    i_0_5973 ).

cnf(c_0_5991,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5987,c_0_5988]),c_0_5989]),c_0_5990])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO489+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 : n004.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 10:15:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.69/0.88  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.69/0.88  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.69/0.88  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.71/8.33  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.71/8.33  # No SInE strategy applied
% 13.71/8.33  # Trying AutoSched0 for 147 seconds
% 13.71/8.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 13.71/8.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 13.71/8.33  #
% 13.71/8.33  # Preprocessing time       : 0.013 s
% 13.71/8.33  # Presaturation interreduction done
% 13.71/8.33  
% 13.71/8.33  # Proof found!
% 13.71/8.33  # SZS status Theorem
% 13.71/8.33  # SZS output start CNFRefutation
% See solution above
% 13.71/8.33  # Training examples: 0 positive, 0 negative
% 13.71/8.33  
% 13.71/8.33  # -------------------------------------------------
% 13.71/8.33  # User time                : 0.031 s
% 13.71/8.33  # System time              : 0.002 s
% 13.71/8.33  # Total time               : 0.033 s
% 13.71/8.33  # Maximum resident set size: 7120 pages
% 13.71/8.33  
%------------------------------------------------------------------------------