TSTP Solution File: NUM346+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM346+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 08:24:23 EDT 2022

% Result   : Theorem 8.74s 2.44s
% Output   : CNFRefutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  23 unt;   0 nHn;  38 RR)
%            Number of literals    :   71 (   4 equ;  35 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ( rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
    | ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_1) ).

cnf(i_0_87,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_87) ).

cnf(i_0_60,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_60) ).

cnf(i_0_156,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_translate(X2,rdn_pos(X5))
    | ~ rdn_translate(X1,rdn_pos(X6))
    | ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_156) ).

cnf(i_0_23,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_23) ).

cnf(i_0_21,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_21) ).

cnf(i_0_8,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_8) ).

cnf(i_0_144,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_144) ).

cnf(i_0_162,plain,
    ( X1 = X2
    | ~ sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_162) ).

cnf(i_0_159,negated_conjecture,
    sum(n2,n3,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_159) ).

cnf(i_0_20,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_20) ).

cnf(i_0_22,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_22) ).

cnf(i_0_158,negated_conjecture,
    ~ less(n4,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3hm4og7l/lgb.p',i_0_158) ).

cnf(c_0_176,plain,
    ( rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
    | ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
    i_0_1 ).

cnf(c_0_177,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    i_0_87 ).

cnf(c_0_178,plain,
    ( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n5))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n5),rdnn(n0)) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_179,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    i_0_60 ).

cnf(c_0_180,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_translate(X2,rdn_pos(X5))
    | ~ rdn_translate(X1,rdn_pos(X6))
    | ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
    i_0_156 ).

cnf(c_0_181,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_182,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_183,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    i_0_23 ).

cnf(c_0_184,plain,
    ( sum(X1,X2,n5)
    | ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_185,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    i_0_21 ).

cnf(c_0_186,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    i_0_8 ).

cnf(c_0_187,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    i_0_144 ).

cnf(c_0_188,plain,
    ( X1 = X2
    | ~ sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    i_0_162 ).

cnf(c_0_189,negated_conjecture,
    sum(n2,n3,esk1_0),
    i_0_159 ).

cnf(c_0_190,plain,
    ( sum(X1,n3,n5)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_191,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    i_0_20 ).

cnf(c_0_192,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_193,negated_conjecture,
    ( X1 = esk1_0
    | ~ sum(n2,n3,X1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_194,plain,
    sum(n2,n3,n5),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_195,plain,
    ( less(X1,n5)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
    inference(spm,[status(thm)],[c_0_192,c_0_183]) ).

cnf(c_0_196,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    i_0_22 ).

cnf(c_0_197,negated_conjecture,
    ~ less(n4,esk1_0),
    i_0_158 ).

cnf(c_0_198,negated_conjecture,
    esk1_0 = n5,
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_199,plain,
    less(n4,n5),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_200,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198]),c_0_199])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM346+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 00:15:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.74/2.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.44  # No SInE strategy applied
% 8.74/2.44  # Trying AutoSched0 for 150 seconds
% 8.74/2.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 8.74/2.44  # and selection function SelectCQArNp.
% 8.74/2.44  #
% 8.74/2.44  # Preprocessing time       : 0.025 s
% 8.74/2.44  # Presaturation interreduction done
% 8.74/2.44  
% 8.74/2.44  # Proof found!
% 8.74/2.44  # SZS status Theorem
% 8.74/2.44  # SZS output start CNFRefutation
% See solution above
% 8.74/2.44  # Training examples: 0 positive, 0 negative
% 8.74/2.44  
% 8.74/2.44  # -------------------------------------------------
% 8.74/2.44  # User time                : 0.050 s
% 8.74/2.44  # System time              : 0.009 s
% 8.74/2.44  # Total time               : 0.059 s
% 8.74/2.44  # Maximum resident set size: 7132 pages
% 8.74/2.44  
%------------------------------------------------------------------------------