TSTP Solution File: SWV182+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 : Wed Jul 20 17:46:07 EDT 2022

% Result   : Theorem 7.48s 2.36s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  25 unt;   4 nHn;  40 RR)
%            Number of literals    :   77 (  18 equ;  35 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_174,plain,
    ( a_select2(rho_init,X1) = init
    | ~ epred1_0
    | ~ leq(X1,n4)
    | ~ leq(n0,X1)
    | ~ gt(loopcounter,n0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_174) ).

cnf(i_0_4,negated_conjecture,
    epred1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_4) ).

cnf(i_0_1,negated_conjecture,
    a_select2(rho_init,esk1_0) != init,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    leq(esk1_0,n4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    leq(n0,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_3) ).

cnf(i_0_168,plain,
    ( X1 = X2
    | gt(X2,X1)
    | gt(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_168) ).

cnf(i_0_43,plain,
    ( leq(X1,X2)
    | ~ gt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_43) ).

cnf(i_0_178,plain,
    ( leq(n1,loopcounter)
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_178) ).

cnf(i_0_42,plain,
    ~ gt(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_42) ).

cnf(i_0_51,plain,
    ( gt(plus(X1,n1),X2)
    | ~ leq(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_51) ).

cnf(i_0_7,plain,
    ( X1 = n0
    | ~ leq(X1,n0)
    | ~ leq(n0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_7) ).

cnf(i_0_170,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_170) ).

cnf(i_0_14,plain,
    gt(n1,n0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_14) ).

cnf(i_0_154,plain,
    plus(n1,X1) = plus(X1,n1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_154) ).

cnf(i_0_149,plain,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2sb8c9cm/lgb.p',i_0_149) ).

cnf(c_0_194,plain,
    ( a_select2(rho_init,X1) = init
    | ~ epred1_0
    | ~ leq(X1,n4)
    | ~ leq(n0,X1)
    | ~ gt(loopcounter,n0) ),
    i_0_174 ).

cnf(c_0_195,negated_conjecture,
    epred1_0,
    i_0_4 ).

cnf(c_0_196,negated_conjecture,
    a_select2(rho_init,esk1_0) != init,
    i_0_1 ).

cnf(c_0_197,plain,
    ( a_select2(rho_init,X1) = init
    | ~ gt(loopcounter,n0)
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).

cnf(c_0_198,negated_conjecture,
    leq(esk1_0,n4),
    i_0_2 ).

cnf(c_0_199,negated_conjecture,
    leq(n0,esk1_0),
    i_0_3 ).

cnf(c_0_200,negated_conjecture,
    ~ gt(loopcounter,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199])]) ).

cnf(c_0_201,plain,
    ( X1 = X2
    | gt(X2,X1)
    | gt(X1,X2) ),
    i_0_168 ).

cnf(c_0_202,plain,
    ( leq(X1,X2)
    | ~ gt(X2,X1) ),
    i_0_43 ).

cnf(c_0_203,negated_conjecture,
    ( loopcounter = n0
    | gt(n0,loopcounter) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_204,plain,
    ( leq(n1,loopcounter)
    | ~ epred1_0 ),
    i_0_178 ).

cnf(c_0_205,plain,
    ~ gt(X1,X1),
    i_0_42 ).

cnf(c_0_206,plain,
    ( gt(plus(X1,n1),X2)
    | ~ leq(X2,X1) ),
    i_0_51 ).

cnf(c_0_207,plain,
    ( X1 = n0
    | ~ leq(X1,n0)
    | ~ leq(n0,X1) ),
    i_0_7 ).

cnf(c_0_208,plain,
    ( loopcounter = n0
    | leq(loopcounter,n0) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_209,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    i_0_170 ).

cnf(c_0_210,plain,
    leq(n1,loopcounter),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_195])]) ).

cnf(c_0_211,plain,
    gt(n1,n0),
    i_0_14 ).

cnf(c_0_212,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_213,plain,
    plus(n1,X1) = plus(X1,n1),
    i_0_154 ).

cnf(c_0_214,plain,
    plus(n0,n1) = n1,
    i_0_149 ).

cnf(c_0_215,plain,
    ( loopcounter = n0
    | ~ leq(n0,loopcounter) ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_216,plain,
    ( leq(X1,loopcounter)
    | ~ leq(X1,n1) ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_217,plain,
    leq(n0,n1),
    inference(spm,[status(thm)],[c_0_202,c_0_211]) ).

cnf(c_0_218,plain,
    ~ leq(plus(n1,X1),X1),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_219,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_214,c_0_213]) ).

cnf(c_0_220,plain,
    loopcounter = n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217])]) ).

cnf(c_0_221,plain,
    ~ leq(n1,n0),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_222,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_220]),c_0_221]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 16:09:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.48/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.48/2.36  # No SInE strategy applied
% 7.48/2.36  # Trying AutoSched0 for 150 seconds
% 7.48/2.36  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.48/2.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.48/2.36  #
% 7.48/2.36  # Preprocessing time       : 0.013 s
% 7.48/2.36  # Presaturation interreduction done
% 7.48/2.36  
% 7.48/2.36  # Proof found!
% 7.48/2.36  # SZS status Theorem
% 7.48/2.36  # SZS output start CNFRefutation
% See solution above
% 7.48/2.36  # Training examples: 0 positive, 0 negative
% 7.48/2.36  
% 7.48/2.36  # -------------------------------------------------
% 7.48/2.36  # User time                : 0.026 s
% 7.48/2.36  # System time              : 0.002 s
% 7.48/2.36  # Total time               : 0.028 s
% 7.48/2.36  # Maximum resident set size: 7128 pages
% 7.48/2.36  
%------------------------------------------------------------------------------