TSTP Solution File: NUM337+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM337+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:24:20 EDT 2022

% Result   : Theorem 8.45s 2.53s
% Output   : CNFRefutation 8.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  17 unt;   0 nHn;  31 RR)
%            Number of literals    :   61 (   5 equ;  32 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 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/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_1) ).

cnf(i_0_89,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_89) ).

cnf(i_0_158,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/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_158) ).

cnf(i_0_71,plain,
    rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_71) ).

cnf(i_0_25,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_25) ).

cnf(i_0_18,plain,
    ( sum(X1,X2,X3)
    | ~ difference(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_18) ).

cnf(i_0_7,negated_conjecture,
    difference(n5,esk1_0,n2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_7) ).

cnf(i_0_22,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_22) ).

cnf(i_0_160,plain,
    ( X1 = X2
    | ~ sum(X2,X3,X4)
    | ~ sum(X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_160) ).

cnf(i_0_23,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_23) ).

cnf(i_0_6,negated_conjecture,
    esk1_0 != n3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-979zs343/lgb.p',i_0_6) ).

cnf(c_0_172,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_173,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    i_0_89 ).

cnf(c_0_174,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_158 ).

cnf(c_0_175,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_172,c_0_173]) ).

cnf(c_0_176,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(X2,rdn_pos(rdnn(X4)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(X5)))
    | ~ rdn_digit_add(rdnn(X5),rdnn(X4),rdnn(n5),rdnn(n0)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_177,plain,
    rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
    i_0_71 ).

cnf(c_0_178,plain,
    ( sum(X1,X2,X3)
    | ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
    | ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_179,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    i_0_25 ).

cnf(c_0_180,plain,
    ( sum(X1,X2,X3)
    | ~ difference(X3,X1,X2) ),
    i_0_18 ).

cnf(c_0_181,negated_conjecture,
    difference(n5,esk1_0,n2),
    i_0_7 ).

cnf(c_0_182,plain,
    ( sum(X1,X2,n5)
    | ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
    | ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_183,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    i_0_22 ).

cnf(c_0_184,plain,
    ( X1 = X2
    | ~ sum(X2,X3,X4)
    | ~ sum(X1,X3,X4) ),
    i_0_160 ).

cnf(c_0_185,plain,
    sum(esk1_0,n2,n5),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_186,plain,
    ( sum(X1,n2,n5)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_187,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    i_0_23 ).

cnf(c_0_188,plain,
    ( X1 = esk1_0
    | ~ sum(X1,n2,n5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_189,plain,
    sum(n3,n2,n5),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_190,negated_conjecture,
    esk1_0 != n3,
    i_0_6 ).

cnf(c_0_191,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : NUM337+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.15  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Thu Jul  7 21:33:46 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.23/0.48  # ENIGMATIC: Selected SinE mode:
% 0.23/0.50  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.23/0.50  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.23/0.50  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.45/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.45/2.53  # No SInE strategy applied
% 8.45/2.53  # Trying AutoSched0 for 150 seconds
% 8.45/2.53  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.45/2.53  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.45/2.53  #
% 8.45/2.53  # Preprocessing time       : 0.024 s
% 8.45/2.53  # Presaturation interreduction done
% 8.45/2.53  
% 8.45/2.53  # Proof found!
% 8.45/2.53  # SZS status Theorem
% 8.45/2.53  # SZS output start CNFRefutation
% See solution above
% 8.45/2.53  # Training examples: 0 positive, 0 negative
% 8.45/2.53  
% 8.45/2.53  # -------------------------------------------------
% 8.45/2.53  # User time                : 0.036 s
% 8.45/2.53  # System time              : 0.008 s
% 8.45/2.53  # Total time               : 0.044 s
% 8.45/2.53  # Maximum resident set size: 7124 pages
% 8.45/2.53  
%------------------------------------------------------------------------------