TSTP Solution File: NUM342+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM342+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:24:22 EDT 2022

% Result   : Theorem 8.49s 2.41s
% Output   : CNFRefutation 8.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (  18 unt;   0 nHn;  34 RR)
%            Number of literals    :   64 (   0 equ;  33 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_157,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-un_3zewq/lgb.p',i_0_157) ).

cnf(i_0_22,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_22) ).

cnf(i_0_18,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_18) ).

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-un_3zewq/lgb.p',i_0_1) ).

cnf(i_0_77,plain,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_77) ).

cnf(i_0_26,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_26) ).

cnf(i_0_117,plain,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_117) ).

cnf(i_0_17,plain,
    ( difference(X1,X2,X3)
    | ~ sum(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_17) ).

cnf(i_0_81,plain,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_81) ).

cnf(i_0_152,negated_conjecture,
    ( ~ sum(X1,X2,n8)
    | ~ difference(X1,X2,n0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-un_3zewq/lgb.p',i_0_152) ).

cnf(c_0_168,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_157 ).

cnf(c_0_169,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    i_0_22 ).

cnf(c_0_170,plain,
    ( sum(X1,X2,n4)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_pos(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X3,rdnn(n4)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_171,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    i_0_18 ).

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(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    i_0_77 ).

cnf(c_0_174,plain,
    ( sum(X1,n0,n4)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_add_with_carry(rdnn(n0),X2,rdnn(n0),rdnn(n4)) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_175,plain,
    ( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n4))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n4),rdnn(n0)) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_176,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    i_0_26 ).

cnf(c_0_177,plain,
    ( sum(n4,n0,n4)
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)) ),
    inference(spm,[status(thm)],[c_0_174,c_0_169]) ).

cnf(c_0_178,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
    inference(spm,[status(thm)],[c_0_175,c_0_173]) ).

cnf(c_0_179,plain,
    ( sum(X1,X2,n8)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_pos(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X3,rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_176]) ).

cnf(c_0_180,plain,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    i_0_117 ).

cnf(c_0_181,plain,
    ( difference(X1,X2,X3)
    | ~ sum(X2,X3,X1) ),
    i_0_17 ).

cnf(c_0_182,plain,
    sum(n4,n0,n4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).

cnf(c_0_183,plain,
    ( sum(X1,n4,n8)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_add_with_carry(rdnn(n0),X2,rdnn(n4),rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_169]) ).

cnf(c_0_184,plain,
    ( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n8))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n8),rdnn(n0)) ),
    inference(spm,[status(thm)],[c_0_172,c_0_180]) ).

cnf(c_0_185,plain,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    i_0_81 ).

cnf(c_0_186,negated_conjecture,
    ( ~ sum(X1,X2,n8)
    | ~ difference(X1,X2,n0) ),
    i_0_152 ).

cnf(c_0_187,plain,
    difference(n4,n4,n0),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_188,plain,
    ( sum(n4,n4,n8)
    | ~ rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)) ),
    inference(spm,[status(thm)],[c_0_183,c_0_169]) ).

cnf(c_0_189,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_190,negated_conjecture,
    ~ sum(n4,n4,n8),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM342+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 09:30:44 EDT 2022
% 0.13/0.34  % 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
% 8.49/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.49/2.41  # No SInE strategy applied
% 8.49/2.41  # Trying AutoSched0 for 150 seconds
% 8.49/2.41  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.49/2.41  # and selection function SelectNewComplexAHP.
% 8.49/2.41  #
% 8.49/2.41  # Preprocessing time       : 0.024 s
% 8.49/2.41  # Presaturation interreduction done
% 8.49/2.41  
% 8.49/2.41  # Proof found!
% 8.49/2.41  # SZS status Theorem
% 8.49/2.41  # SZS output start CNFRefutation
% See solution above
% 8.49/2.41  # Training examples: 0 positive, 0 negative
% 8.49/2.41  
% 8.49/2.41  # -------------------------------------------------
% 8.49/2.41  # User time                : 0.057 s
% 8.49/2.41  # System time              : 0.005 s
% 8.49/2.41  # Total time               : 0.062 s
% 8.49/2.41  # Maximum resident set size: 7128 pages
% 8.49/2.41  
%------------------------------------------------------------------------------