TSTP Solution File: NUM316+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM316+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:24:14 EDT 2022

% Result   : Theorem 8.78s 2.42s
% Output   : CNFRefutation 8.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  22 unt;   0 nHn;  34 RR)
%            Number of literals    :   63 (   0 equ;  31 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-1 aty)
%            Number of variables   :   39 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_153,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_153) ).

cnf(i_0_145,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_145) ).

cnf(i_0_156,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_positive_less(X4,X5)
    | ~ rdn_translate(X3,rdn_neg(X6))
    | ~ rdn_translate(X2,rdn_neg(X5))
    | ~ rdn_translate(X1,rdn_pos(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X6,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_156) ).

cnf(i_0_138,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_138) ).

cnf(i_0_146,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_146) ).

cnf(i_0_144,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_144) ).

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-8vmy_81s/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-8vmy_81s/lgb.p',i_0_87) ).

cnf(i_0_139,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_139) ).

cnf(i_0_60,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_60) ).

cnf(i_0_20,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_20) ).

cnf(i_0_160,negated_conjecture,
    ~ sum(n2,nn5,nn3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8vmy_81s/lgb.p',i_0_160) ).

cnf(c_0_173,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    i_0_153 ).

cnf(c_0_174,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    i_0_145 ).

cnf(c_0_175,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_positive_less(X4,X5)
    | ~ rdn_translate(X3,rdn_neg(X6))
    | ~ rdn_translate(X2,rdn_neg(X5))
    | ~ rdn_translate(X1,rdn_pos(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X6,X5) ),
    i_0_156 ).

cnf(c_0_176,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    i_0_138 ).

cnf(c_0_177,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    i_0_146 ).

cnf(c_0_178,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n4))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_179,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    i_0_144 ).

cnf(c_0_180,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_181,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    i_0_87 ).

cnf(c_0_182,plain,
    ( sum(X1,X2,nn3)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_neg(X4))
    | ~ rdn_translate(X1,rdn_pos(X3))
    | ~ rdn_add_with_carry(rdnn(n0),X3,rdnn(n3),X4) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_183,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    i_0_139 ).

cnf(c_0_184,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n5))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_177]) ).

cnf(c_0_185,plain,
    rdn_positive_less(rdnn(n2),rdnn(n4)),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_186,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_180,c_0_181]) ).

cnf(c_0_187,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    i_0_60 ).

cnf(c_0_188,plain,
    ( sum(X1,nn5,nn3)
    | ~ rdn_positive_less(X2,rdnn(n5))
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_add_with_carry(rdnn(n0),X2,rdnn(n3),rdnn(n5)) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_189,plain,
    rdn_positive_less(rdnn(n2),rdnn(n5)),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_190,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_191,plain,
    ( sum(X1,nn5,nn3)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]) ).

cnf(c_0_192,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    i_0_20 ).

cnf(c_0_193,negated_conjecture,
    ~ sum(n2,nn5,nn3),
    i_0_160 ).

cnf(c_0_194,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM316+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 : Thu Jul  7 02:54:10 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
% 8.78/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.78/2.42  # No SInE strategy applied
% 8.78/2.42  # Trying AutoSched0 for 150 seconds
% 8.78/2.42  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.78/2.42  # and selection function SelectNewComplexAHP.
% 8.78/2.42  #
% 8.78/2.42  # Preprocessing time       : 0.015 s
% 8.78/2.42  # Presaturation interreduction done
% 8.78/2.42  
% 8.78/2.42  # Proof found!
% 8.78/2.42  # SZS status Theorem
% 8.78/2.42  # SZS output start CNFRefutation
% See solution above
% 8.78/2.42  # Training examples: 0 positive, 0 negative
% 8.78/2.42  
% 8.78/2.42  # -------------------------------------------------
% 8.78/2.42  # User time                : 0.163 s
% 8.78/2.42  # System time              : 0.004 s
% 8.78/2.42  # Total time               : 0.167 s
% 8.78/2.42  # Maximum resident set size: 7128 pages
% 8.78/2.42  
%------------------------------------------------------------------------------