TSTP Solution File: GEO456+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO456+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 03:45:49 EDT 2022

% Result   : Theorem 9.04s 6.12s
% Output   : CNFRefutation 9.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   4 RR)
%            Number of literals    :   20 (  19 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-2 aty)
%            Number of variables   :   20 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4073,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = 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))))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_4073) ).

cnf(i_0_3526,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_3526) ).

cnf(i_0_4036,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))),s(num,X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,X2))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_4036) ).

cnf(i_0_4001,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),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,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_4001) ).

cnf(i_0_2767,negated_conjecture,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,esk919_0))),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) != s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk919_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_2767) ).

cnf(i_0_2761,plain,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,X1))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X2))))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_2761) ).

cnf(i_0_2770,plain,
    s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))) = s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,X1))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0z4nscny/lgb.p',i_0_2770) ).

cnf(c_0_4081,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = 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))))))),
    i_0_4073 ).

cnf(c_0_4082,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3526 ).

cnf(c_0_4083,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))),s(num,X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,X2))))),
    i_0_4036 ).

cnf(c_0_4084,plain,
    s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,u_0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4081,c_0_4082]),c_0_4082]) ).

cnf(c_0_4085,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),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,X1),
    i_0_4001 ).

cnf(c_0_4086,negated_conjecture,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,esk919_0))),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) != s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk919_0))),
    i_0_2767 ).

cnf(c_0_4087,plain,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,X1))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X2))))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))),
    i_0_2761 ).

cnf(c_0_4088,plain,
    s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,u_0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),
    inference(spm,[status(thm)],[c_0_4083,c_0_4084]) ).

cnf(c_0_4089,plain,
    s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))) = s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,X1))),
    i_0_2770 ).

cnf(c_0_4090,plain,
    s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,X1),
    inference(rw,[status(thm)],[c_0_4085,c_0_4082]) ).

cnf(c_0_4091,negated_conjecture,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,esk919_0))),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) != s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk919_0))),
    inference(rw,[status(thm)],[c_0_4086,c_0_4082]) ).

cnf(c_0_4092,plain,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(real,fun(cart(real,n10),cart(real,n10))),r_),s(real,X1))),s(cart(real,n10),i(s(fun(num,cart(real,n10)),vec),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4087,c_0_4088]),c_0_4089]),c_0_4090]) ).

cnf(c_0_4093,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4091,c_0_4092])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO456+1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 12:29:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.59/0.82  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.82  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.59/0.82  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.59/0.82  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.04/6.12  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.04/6.12  # No SInE strategy applied
% 9.04/6.12  # Trying AutoSched0 for 148 seconds
% 9.04/6.12  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.04/6.12  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.04/6.12  #
% 9.04/6.12  # Preprocessing time       : 0.025 s
% 9.04/6.12  # Presaturation interreduction done
% 9.04/6.12  
% 9.04/6.12  # Proof found!
% 9.04/6.12  # SZS status Theorem
% 9.04/6.12  # SZS output start CNFRefutation
% See solution above
% 9.04/6.12  # Training examples: 0 positive, 0 negative
% 9.04/6.12  
% 9.04/6.12  # -------------------------------------------------
% 9.04/6.12  # User time                : 0.054 s
% 9.04/6.12  # System time              : 0.005 s
% 9.04/6.12  # Total time               : 0.059 s
% 9.04/6.12  # Maximum resident set size: 7688 pages
% 9.04/6.12  
%------------------------------------------------------------------------------