TSTP Solution File: RNG125+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 20:25:04 EDT 2022

% Result   : Theorem 8.29s 2.42s
% Output   : CNFRefutation 8.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  16 unt;   0 nHn;  25 RR)
%            Number of literals    :   40 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_26) ).

cnf(i_0_108,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_108) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_54) ).

cnf(i_0_99,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_99) ).

cnf(i_0_75,plain,
    ( aDivisorOf0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_75) ).

cnf(i_0_114,hypothesis,
    doDivides0(xu,xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_114) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_94) ).

cnf(i_0_109,hypothesis,
    ( ~ aDivisorOf0(xu,xa)
    | ~ aDivisorOf0(xu,xb) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_109) ).

cnf(i_0_113,hypothesis,
    doDivides0(xu,xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_113) ).

cnf(i_0_95,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8qwtct04/lgb.p',i_0_95) ).

cnf(c_0_125,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_126,hypothesis,
    aElementOf0(xu,xI),
    i_0_108 ).

cnf(c_0_127,hypothesis,
    ( aElement0(xu)
    | ~ aSet0(xI) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_128,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_129,hypothesis,
    aIdeal0(xI),
    i_0_99 ).

cnf(c_0_130,plain,
    ( aDivisorOf0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ doDivides0(X1,X2) ),
    i_0_75 ).

cnf(c_0_131,hypothesis,
    doDivides0(xu,xb),
    i_0_114 ).

cnf(c_0_132,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_133,plain,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_134,hypothesis,
    ( ~ aDivisorOf0(xu,xa)
    | ~ aDivisorOf0(xu,xb) ),
    i_0_109 ).

cnf(c_0_135,hypothesis,
    aDivisorOf0(xu,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]),c_0_133])]) ).

cnf(c_0_136,hypothesis,
    doDivides0(xu,xa),
    i_0_113 ).

cnf(c_0_137,hypothesis,
    aElement0(xa),
    i_0_95 ).

cnf(c_0_138,hypothesis,
    ~ aDivisorOf0(xu,xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]) ).

cnf(c_0_139,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_136]),c_0_137])]),c_0_133])]),c_0_138]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.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 : Mon May 30 04:55:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.29/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.29/2.42  # No SInE strategy applied
% 8.29/2.42  # Trying AutoSched0 for 150 seconds
% 8.29/2.42  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.29/2.42  # and selection function SelectNewComplexAHPNS.
% 8.29/2.42  #
% 8.29/2.42  # Preprocessing time       : 0.024 s
% 8.29/2.42  
% 8.29/2.42  # Proof found!
% 8.29/2.42  # SZS status Theorem
% 8.29/2.42  # SZS output start CNFRefutation
% See solution above
% 8.29/2.42  # Training examples: 0 positive, 0 negative
% 8.29/2.42  
% 8.29/2.42  # -------------------------------------------------
% 8.29/2.42  # User time                : 0.031 s
% 8.29/2.42  # System time              : 0.003 s
% 8.29/2.42  # Total time               : 0.034 s
% 8.29/2.42  # Maximum resident set size: 7124 pages
% 8.29/2.42  
%------------------------------------------------------------------------------