TSTP Solution File: NUM315+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 08:24:13 EDT 2022

% Result   : Theorem 8.12s 2.50s
% Output   : CNFRefutation 8.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  14 unt;   0 nHn;  21 RR)
%            Number of literals    :   39 (   0 equ;  21 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_155,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_translate(X2,rdn_neg(X5))
    | ~ rdn_translate(X1,rdn_neg(X6))
    | ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_155) ).

cnf(i_0_140,plain,
    rdn_translate(nn7,rdn_neg(rdnn(n7))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_140) ).

cnf(i_0_139,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_139) ).

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/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_1) ).

cnf(i_0_107,plain,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_107) ).

cnf(i_0_138,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_138) ).

cnf(i_0_161,negated_conjecture,
    ~ sum(nn2,nn5,nn7),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_161) ).

cnf(i_0_62,plain,
    rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnancktt/lgb.p',i_0_62) ).

cnf(c_0_170,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_translate(X2,rdn_neg(X5))
    | ~ rdn_translate(X1,rdn_neg(X6))
    | ~ rdn_add_with_carry(rdnn(n0),X6,X5,X4) ),
    i_0_155 ).

cnf(c_0_171,plain,
    rdn_translate(nn7,rdn_neg(rdnn(n7))),
    i_0_140 ).

cnf(c_0_172,plain,
    ( sum(X1,X2,nn7)
    | ~ rdn_translate(X2,rdn_neg(X3))
    | ~ rdn_translate(X1,rdn_neg(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X3,rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_173,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    i_0_139 ).

cnf(c_0_174,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_175,plain,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    i_0_107 ).

cnf(c_0_176,plain,
    ( sum(X1,nn5,nn7)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_add_with_carry(rdnn(n0),X2,rdnn(n5),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_177,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    i_0_138 ).

cnf(c_0_178,negated_conjecture,
    ~ sum(nn2,nn5,nn7),
    i_0_161 ).

cnf(c_0_179,plain,
    ( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n7))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n7),rdnn(n0)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_180,plain,
    rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
    i_0_62 ).

cnf(c_0_181,plain,
    ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).

cnf(c_0_182,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jul  6 10:12:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.22/0.46  # ENIGMATIC: Selected SinE mode:
% 0.22/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.12/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.12/2.50  # No SInE strategy applied
% 8.12/2.50  # Trying AutoSched0 for 150 seconds
% 8.12/2.50  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.12/2.50  # and selection function SelectNewComplexAHP.
% 8.12/2.50  #
% 8.12/2.50  # Preprocessing time       : 0.015 s
% 8.12/2.50  # Presaturation interreduction done
% 8.12/2.50  
% 8.12/2.50  # Proof found!
% 8.12/2.50  # SZS status Theorem
% 8.12/2.50  # SZS output start CNFRefutation
% See solution above
% 8.12/2.50  # Training examples: 0 positive, 0 negative
% 8.12/2.50  
% 8.12/2.50  # -------------------------------------------------
% 8.12/2.50  # User time                : 0.075 s
% 8.12/2.50  # System time              : 0.008 s
% 8.12/2.50  # Total time               : 0.083 s
% 8.12/2.50  # Maximum resident set size: 7120 pages
% 8.12/2.50  
%------------------------------------------------------------------------------