TSTP Solution File: NUM924+5 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 : Mon Jul 18 08:41:09 EDT 2022

% Result   : Theorem 7.07s 2.24s
% Output   : CNFRefutation 7.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;  14 RR)
%            Number of literals    :   22 (  14 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_197,plain,
    number_number_of(int,pls) = zero_zero(int),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_197) ).

cnf(i_0_78,plain,
    number_number_of(int,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_78) ).

cnf(i_0_215,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_215) ).

cnf(i_0_196,plain,
    plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_196) ).

cnf(i_0_53,plain,
    times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_53) ).

cnf(i_0_79,plain,
    times_times(int,X1,X2) = times_times(int,X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_79) ).

cnf(i_0_52,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_52) ).

cnf(i_0_141,plain,
    times_times(int,pls,X1) = pls,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p5l0vqll/lgb.p',i_0_141) ).

cnf(c_0_224,plain,
    number_number_of(int,pls) = zero_zero(int),
    i_0_197 ).

cnf(c_0_225,plain,
    number_number_of(int,X1) = X1,
    i_0_78 ).

cnf(c_0_226,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
    i_0_215 ).

cnf(c_0_227,plain,
    zero_zero(int) = pls,
    inference(rw,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_228,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),pls),
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_229,plain,
    plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
    i_0_196 ).

cnf(c_0_230,plain,
    times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
    i_0_53 ).

cnf(c_0_231,plain,
    times_times(int,X1,X2) = times_times(int,X2,X1),
    i_0_79 ).

cnf(c_0_232,negated_conjecture,
    ~ ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),pls),
    inference(rw,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,plain,
    plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_229]),c_0_225]),c_0_231]),c_0_229]),c_0_231]) ).

cnf(c_0_234,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
    i_0_52 ).

cnf(c_0_235,plain,
    times_times(int,pls,X1) = pls,
    i_0_141 ).

cnf(c_0_236,negated_conjecture,
    ~ ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),pls),
    inference(rw,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_237,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_225]),c_0_231]),c_0_229]),c_0_231]),c_0_225]),c_0_231]),c_0_229]),c_0_227]),c_0_231]),c_0_235]),c_0_236]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : NUM924+5 : TPTP v8.1.0. Released v5.3.0.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.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 : Wed Jul  6 21:31:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 7.07/2.24  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.07/2.24  # No SInE strategy applied
% 7.07/2.24  # Trying AutoSched0 for 150 seconds
% 7.07/2.24  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.07/2.24  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.07/2.24  #
% 7.07/2.24  # Preprocessing time       : 0.023 s
% 7.07/2.24  # Presaturation interreduction done
% 7.07/2.24  
% 7.07/2.24  # Proof found!
% 7.07/2.24  # SZS status Theorem
% 7.07/2.24  # SZS output start CNFRefutation
% See solution above
% 7.07/2.24  # Training examples: 0 positive, 0 negative
% 7.07/2.24  
% 7.07/2.24  # -------------------------------------------------
% 7.07/2.24  # User time                : 0.025 s
% 7.07/2.24  # System time              : 0.006 s
% 7.07/2.24  # Total time               : 0.032 s
% 7.07/2.24  # Maximum resident set size: 7124 pages
% 7.07/2.24  
%------------------------------------------------------------------------------