TSTP Solution File: RNG118+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG118+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 20:25:03 EDT 2022

% Result   : Theorem 8.05s 2.39s
% Output   : CNFRefutation 8.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  15 unt;   8 nHn;  33 RR)
%            Number of literals    :   83 (  27 equ;  48 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_26) ).

cnf(i_0_176,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_176) ).

cnf(i_0_149,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_149) ).

cnf(i_0_197,negated_conjecture,
    ( sdtpldt0(sdtasdt0(X1,xu),X2) != xb
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_197) ).

cnf(i_0_68,plain,
    ( X1 = sz00
    | esk15_2(X2,X1) = sz00
    | iLess0(sbrdtbr0(esk15_2(X2,X1)),sbrdtbr0(X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_68) ).

cnf(i_0_175,hypothesis,
    sz00 != xu,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_175) ).

cnf(i_0_69,plain,
    ( X1 = sz00
    | sdtpldt0(sdtasdt0(esk14_2(X2,X1),X1),esk15_2(X2,X1)) = X2
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_69) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_94) ).

cnf(i_0_71,plain,
    ( X1 = sz00
    | aElement0(esk14_2(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_71) ).

cnf(i_0_70,plain,
    ( X1 = sz00
    | aElement0(esk15_2(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_70) ).

cnf(i_0_198,negated_conjecture,
    ( X1 != sz00
    | sdtpldt0(sdtasdt0(X2,xu),X1) != xb
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_198) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td3v_656/lgb.p',i_0_2) ).

cnf(c_0_211,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_212,hypothesis,
    aElementOf0(xu,xI),
    i_0_176 ).

cnf(c_0_213,hypothesis,
    aSet0(xI),
    i_0_149 ).

cnf(c_0_214,negated_conjecture,
    ( sdtpldt0(sdtasdt0(X1,xu),X2) != xb
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ),
    i_0_197 ).

cnf(c_0_215,plain,
    ( X1 = sz00
    | esk15_2(X2,X1) = sz00
    | iLess0(sbrdtbr0(esk15_2(X2,X1)),sbrdtbr0(X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    i_0_68 ).

cnf(c_0_216,hypothesis,
    sz00 != xu,
    i_0_175 ).

cnf(c_0_217,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213])]) ).

cnf(c_0_218,negated_conjecture,
    ( esk15_2(X1,xu) = sz00
    | sdtpldt0(sdtasdt0(X2,xu),esk15_2(X1,xu)) != xb
    | ~ aElement0(esk15_2(X1,xu))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217])]) ).

cnf(c_0_219,plain,
    ( X1 = sz00
    | sdtpldt0(sdtasdt0(esk14_2(X2,X1),X1),esk15_2(X2,X1)) = X2
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    i_0_69 ).

cnf(c_0_220,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_221,plain,
    ( esk15_2(xb,xu) = sz00
    | ~ aElement0(esk15_2(xb,xu))
    | ~ aElement0(esk14_2(xb,xu)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_217])]),c_0_216])]),c_0_220])]) ).

cnf(c_0_222,plain,
    ( X1 = sz00
    | aElement0(esk14_2(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    i_0_71 ).

cnf(c_0_223,plain,
    ( esk15_2(xb,xu) = sz00
    | ~ aElement0(esk15_2(xb,xu)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_220]),c_0_217])]),c_0_216]) ).

cnf(c_0_224,plain,
    ( X1 = sz00
    | aElement0(esk15_2(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    i_0_70 ).

cnf(c_0_225,negated_conjecture,
    ( X1 != sz00
    | sdtpldt0(sdtasdt0(X2,xu),X1) != xb
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_198 ).

cnf(c_0_226,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_227,plain,
    esk15_2(xb,xu) = sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_220]),c_0_217])]),c_0_216]) ).

cnf(c_0_228,negated_conjecture,
    ( sdtpldt0(sdtasdt0(X1,xu),sz00) != xb
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_225]),c_0_226])]) ).

cnf(c_0_229,plain,
    sdtpldt0(sdtasdt0(esk14_2(xb,xu),xu),sz00) = xb,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_227]),c_0_220]),c_0_217])]),c_0_216]) ).

cnf(c_0_230,negated_conjecture,
    ~ aElement0(esk14_2(xb,xu)),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_231,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_222]),c_0_220]),c_0_217])]),c_0_216]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG118+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.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 : Mon May 30 18:06:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.05/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.05/2.39  # No SInE strategy applied
% 8.05/2.39  # Trying AutoSched0 for 150 seconds
% 8.05/2.39  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.05/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.05/2.39  #
% 8.05/2.39  # Preprocessing time       : 0.024 s
% 8.05/2.39  
% 8.05/2.39  # Proof found!
% 8.05/2.39  # SZS status Theorem
% 8.05/2.39  # SZS output start CNFRefutation
% See solution above
% 8.05/2.39  # Training examples: 0 positive, 0 negative
% 8.05/2.39  
% 8.05/2.39  # -------------------------------------------------
% 8.05/2.39  # User time                : 0.030 s
% 8.05/2.39  # System time              : 0.005 s
% 8.05/2.39  # Total time               : 0.035 s
% 8.05/2.39  # Maximum resident set size: 7124 pages
% 8.05/2.39  
%------------------------------------------------------------------------------