TSTP Solution File: RNG099+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG099+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 20:24:59 EDT 2022

% Result   : Theorem 7.66s 2.36s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   42 (  24 unt;   0 nHn;  42 RR)
%            Number of literals    :   75 (   2 equ;  35 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_26) ).

cnf(i_0_65,hypothesis,
    aElementOf0(xb,xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_65) ).

cnf(i_0_5,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_5) ).

cnf(i_0_67,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_67) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_54) ).

cnf(i_0_59,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_59) ).

cnf(i_0_66,hypothesis,
    aElementOf0(xa,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_66) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_6) ).

cnf(i_0_63,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_63) ).

cnf(i_0_60,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_60) ).

cnf(i_0_57,plain,
    ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_57) ).

cnf(i_0_69,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_69) ).

cnf(i_0_62,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_62) ).

cnf(i_0_68,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_68) ).

cnf(i_0_70,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,xx,xI)
    | ~ sdteqdtlpzmzozddtrp0(X1,xy,xJ) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pe8ht85v/lgb.p',i_0_70) ).

cnf(c_0_86,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_87,hypothesis,
    aElementOf0(xb,xJ),
    i_0_65 ).

cnf(c_0_88,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_5 ).

cnf(c_0_89,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    i_0_67 ).

cnf(c_0_90,hypothesis,
    ( aElement0(xb)
    | ~ aSet0(xJ) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_92,hypothesis,
    aIdeal0(xJ),
    i_0_59 ).

cnf(c_0_93,hypothesis,
    aElementOf0(xa,xI),
    i_0_66 ).

cnf(c_0_94,plain,
    ( aElement0(xw)
    | ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_95,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_96,plain,
    aElement0(xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_97,hypothesis,
    aElement0(xx),
    i_0_63 ).

cnf(c_0_98,hypothesis,
    ( aElement0(xa)
    | ~ aSet0(xI) ),
    inference(spm,[status(thm)],[c_0_86,c_0_93]) ).

cnf(c_0_99,hypothesis,
    aIdeal0(xI),
    i_0_60 ).

cnf(c_0_100,plain,
    ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(X2)),X3) ),
    i_0_57 ).

cnf(c_0_101,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    i_0_69 ).

cnf(c_0_102,hypothesis,
    aElement0(xy),
    i_0_62 ).

cnf(c_0_103,plain,
    ( aElement0(xw)
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97])]) ).

cnf(c_0_104,plain,
    aElement0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_91]),c_0_99])]) ).

cnf(c_0_105,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    i_0_68 ).

cnf(c_0_106,hypothesis,
    ( sdteqdtlpzmzozddtrp0(xw,xy,xJ)
    | ~ aElement0(xw) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_92]),c_0_102])]) ).

cnf(c_0_107,plain,
    aElement0(xw),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_95]),c_0_104]),c_0_102])]) ).

cnf(c_0_108,hypothesis,
    ( sdteqdtlpzmzozddtrp0(xw,xx,xI)
    | ~ aElement0(xw) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_105]),c_0_99]),c_0_97])]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,xx,xI)
    | ~ sdteqdtlpzmzozddtrp0(X1,xy,xJ) ),
    i_0_70 ).

cnf(c_0_110,hypothesis,
    sdteqdtlpzmzozddtrp0(xw,xy,xJ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).

cnf(c_0_111,hypothesis,
    sdteqdtlpzmzozddtrp0(xw,xx,xI),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_107])]) ).

cnf(c_0_112,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_107])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG099+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 08:34:03 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 7.66/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.66/2.36  # No SInE strategy applied
% 7.66/2.36  # Trying AutoSched0 for 150 seconds
% 7.66/2.36  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.66/2.36  # and selection function SelectNewComplexAHP.
% 7.66/2.36  #
% 7.66/2.36  # Preprocessing time       : 0.024 s
% 7.66/2.36  # Presaturation interreduction done
% 7.66/2.36  
% 7.66/2.36  # Proof found!
% 7.66/2.36  # SZS status Theorem
% 7.66/2.36  # SZS output start CNFRefutation
% See solution above
% 7.66/2.36  # Training examples: 0 positive, 0 negative
% 7.66/2.36  
% 7.66/2.36  # -------------------------------------------------
% 7.66/2.36  # User time                : 0.030 s
% 7.66/2.36  # System time              : 0.006 s
% 7.66/2.36  # Total time               : 0.036 s
% 7.66/2.36  # Maximum resident set size: 7124 pages
% 7.66/2.36  
%------------------------------------------------------------------------------