TSTP Solution File: RNG048+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:24:47 EDT 2022

% Result   : Theorem 10.05s 2.79s
% Output   : CNFRefutation 10.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   90 (  36 unt;   3 nHn;  90 RR)
%            Number of literals    :  210 (  48 equ; 119 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   84 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
    ( aScalar0(sdtasasdt0(X1,X2))
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_53) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_39) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_11) ).

cnf(i_0_58,negated_conjecture,
    aVector0(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_58) ).

cnf(i_0_56,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_56) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_14) ).

cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_37) ).

cnf(i_0_34,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_34) ).

cnf(i_0_17,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_17) ).

cnf(i_0_22,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_22) ).

cnf(i_0_38,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_38) ).

cnf(i_0_20,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_20) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_13) ).

cnf(i_0_31,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_31) ).

cnf(i_0_35,plain,
    ( X1 = X2
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_35) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_19) ).

cnf(i_0_32,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_32) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_12) ).

cnf(i_0_43,plain,
    ( X1 = X2
    | sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_43) ).

cnf(i_0_16,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_16) ).

cnf(i_0_15,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_15) ).

cnf(i_0_21,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_s8du5c4/lgb.p',i_0_21) ).

cnf(c_0_81,plain,
    ( aScalar0(sdtasasdt0(X1,X2))
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    i_0_53 ).

cnf(c_0_82,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_83,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_84,plain,
    ( aScalar0(sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    aVector0(esk3_0),
    i_0_58 ).

cnf(c_0_86,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_87,negated_conjecture,
    aScalar0(sdtasasdt0(esk3_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)),
    i_0_56 ).

cnf(c_0_89,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_90,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_37 ).

cnf(c_0_91,negated_conjecture,
    sdtlseqdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_92,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    i_0_34 ).

cnf(c_0_93,plain,
    aScalar0(smndt0(sdtasasdt0(esk3_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_89,c_0_87]) ).

cnf(c_0_94,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_17 ).

cnf(c_0_95,plain,
    ( sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sz0z00))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_83]),c_0_87])]) ).

cnf(c_0_96,plain,
    sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_97,plain,
    sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
    inference(spm,[status(thm)],[c_0_94,c_0_87]) ).

cnf(c_0_98,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    i_0_22 ).

cnf(c_0_99,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_93])]) ).

cnf(c_0_100,plain,
    sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00) = smndt0(sdtasasdt0(esk3_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_98,c_0_93]) ).

cnf(c_0_101,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    i_0_38 ).

cnf(c_0_102,plain,
    sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))),
    inference(rw,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(spm,[status(thm)],[c_0_92,c_0_83]) ).

cnf(c_0_104,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_20 ).

cnf(c_0_105,plain,
    ( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_93]),c_0_83]),c_0_103])]) ).

cnf(c_0_106,plain,
    sdtlseqdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_92,c_0_87]) ).

cnf(c_0_107,plain,
    sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_104,c_0_87]) ).

cnf(c_0_108,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_109,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_110,plain,
    ( X1 = X2
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_35 ).

cnf(c_0_111,plain,
    sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_87])]) ).

cnf(c_0_112,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_93]) ).

cnf(c_0_113,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_19 ).

cnf(c_0_114,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_32 ).

cnf(c_0_115,plain,
    ( aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0)))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_87]) ).

cnf(c_0_116,plain,
    ( smndt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0)))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_87]) ).

cnf(c_0_117,plain,
    ( sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00
    | ~ aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_83])]) ).

cnf(c_0_118,negated_conjecture,
    aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
    inference(spm,[status(thm)],[c_0_112,c_0_87]) ).

cnf(c_0_119,plain,
    ( sdtlseqdt0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_96]),c_0_93])]),c_0_102])]) ).

cnf(c_0_120,plain,
    sdtasdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
    inference(spm,[status(thm)],[c_0_113,c_0_93]) ).

cnf(c_0_121,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_122,plain,
    ( X1 = X2
    | sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_43 ).

cnf(c_0_123,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_104,c_0_83]) ).

cnf(c_0_124,negated_conjecture,
    ( sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_87]) ).

cnf(c_0_125,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    i_0_16 ).

cnf(c_0_126,negated_conjecture,
    aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_115,c_0_87]) ).

cnf(c_0_127,negated_conjecture,
    smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_116,c_0_87]) ).

cnf(c_0_128,plain,
    ( sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00
    | ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).

cnf(c_0_129,negated_conjecture,
    sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_91]),c_0_120]),c_0_83]),c_0_87])]) ).

cnf(c_0_130,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_15 ).

cnf(c_0_131,plain,
    ( sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_102]),c_0_93]),c_0_83])]) ).

cnf(c_0_132,plain,
    ( aScalar0(sdtpldt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_93]) ).

cnf(c_0_133,plain,
    ( X1 = sz0z00
    | sdtasdt0(X1,X1) != sz0z00
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_83]),c_0_103])]) ).

cnf(c_0_134,negated_conjecture,
    sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_124,c_0_87]) ).

cnf(c_0_135,plain,
    smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).

cnf(c_0_136,plain,
    sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).

cnf(c_0_137,plain,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_130,c_0_83]) ).

cnf(c_0_138,plain,
    ( sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sdtasasdt0(esk3_0,esk3_0)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_106]),c_0_87])]) ).

cnf(c_0_139,plain,
    sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_96]),c_0_100]),c_0_93])]) ).

cnf(c_0_140,plain,
    aScalar0(sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
    inference(spm,[status(thm)],[c_0_132,c_0_93]) ).

cnf(c_0_141,plain,
    ( smndt0(sdtasasdt0(esk3_0,esk3_0)) = sz0z00
    | sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) != sz0z00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_93]),c_0_102])]) ).

cnf(c_0_142,plain,
    sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).

cnf(c_0_143,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    i_0_21 ).

cnf(c_0_144,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasasdt0(esk3_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_97]),c_0_140]),c_0_93])]) ).

cnf(c_0_145,plain,
    smndt0(sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).

cnf(c_0_146,plain,
    sdtpldt0(sz0z00,sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_98,c_0_83]) ).

cnf(c_0_147,plain,
    sdtpldt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)) = sdtasasdt0(esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_143,c_0_87]) ).

cnf(c_0_148,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145]),c_0_145]),c_0_146]),c_0_147]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.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 22:17:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 10.05/2.79  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.05/2.79  # No SInE strategy applied
% 10.05/2.79  # Trying AutoSched0 for 150 seconds
% 10.05/2.79  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2i
% 10.05/2.79  # and selection function SelectGrCQArEqFirst.
% 10.05/2.79  #
% 10.05/2.79  # Preprocessing time       : 0.024 s
% 10.05/2.79  # Presaturation interreduction done
% 10.05/2.79  
% 10.05/2.79  # Proof found!
% 10.05/2.79  # SZS status Theorem
% 10.05/2.79  # SZS output start CNFRefutation
% See solution above
% 10.05/2.79  # Training examples: 0 positive, 0 negative
% 10.05/2.79  
% 10.05/2.79  # -------------------------------------------------
% 10.05/2.79  # User time                : 0.358 s
% 10.05/2.79  # System time              : 0.014 s
% 10.05/2.79  # Total time               : 0.372 s
% 10.05/2.79  # Maximum resident set size: 7128 pages
% 10.05/2.79  
%------------------------------------------------------------------------------