TSTP Solution File: RNG062+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG062+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 20:24:51 EDT 2022

% Result   : Theorem 8.85s 2.51s
% Output   : CNFRefutation 8.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   31
% Syntax   : Number of clauses     :  102 (  47 unt;   6 nHn; 102 RR)
%            Number of literals    :  206 (  77 equ; 106 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :   86 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_49) ).

cnf(i_0_61,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_61) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_60) ).

cnf(i_0_50,plain,
    ( aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_50) ).

cnf(i_0_64,hypothesis,
    sziznziztdt0(xt) = xq,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_64) ).

cnf(i_0_57,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_57) ).

cnf(i_0_46,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_46) ).

cnf(i_0_65,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_65) ).

cnf(i_0_4,plain,
    ( aNaturalNumber0(szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_4) ).

cnf(i_0_31,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_31) ).

cnf(i_0_92,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_92) ).

cnf(i_0_23,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_23) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_45) ).

cnf(i_0_32,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_32) ).

cnf(i_0_87,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_87) ).

cnf(i_0_93,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_93) ).

cnf(i_0_83,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_83) ).

cnf(i_0_30,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_30) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_86) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_77) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_73) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_14) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_13) ).

cnf(i_0_16,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_16) ).

cnf(i_0_89,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_89) ).

cnf(i_0_28,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_28) ).

cnf(i_0_25,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_25) ).

cnf(i_0_97,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_97) ).

cnf(i_0_26,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_26) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_12) ).

cnf(i_0_95,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t6d_gndc/input.p',i_0_95) ).

cnf(c_0_129,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    i_0_49 ).

cnf(c_0_130,hypothesis,
    aDimensionOf0(xs) != sz00,
    i_0_61 ).

cnf(c_0_131,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_132,plain,
    ( aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    i_0_50 ).

cnf(c_0_133,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_129]) ).

cnf(c_0_134,hypothesis,
    sziznziztdt0(xt) = xq,
    i_0_64 ).

cnf(c_0_135,hypothesis,
    aVector0(xt),
    i_0_57 ).

cnf(c_0_136,hypothesis,
    aDimensionOf0(xt) != sz00,
    inference(rw,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,plain,
    ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_132]) ).

cnf(c_0_138,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    i_0_46 ).

cnf(c_0_139,hypothesis,
    ( sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]),c_0_136]) ).

cnf(c_0_140,hypothesis,
    aVector0(xq),
    i_0_65 ).

cnf(c_0_141,plain,
    ( aNaturalNumber0(szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_4 ).

cnf(c_0_142,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_134]),c_0_135])]),c_0_136]) ).

cnf(c_0_143,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_144,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    i_0_92 ).

cnf(c_0_145,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_146,plain,
    ( aScalar0(sdtlbdtrb0(xt,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_147,plain,
    ( aNaturalNumber0(aDimensionOf0(xt))
    | ~ aNaturalNumber0(aDimensionOf0(xq)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_148,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_149,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_32 ).

cnf(c_0_150,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_151,hypothesis,
    aScalar0(xS),
    i_0_87 ).

cnf(c_0_152,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_153,plain,
    aNaturalNumber0(aDimensionOf0(xt)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_140])]) ).

cnf(c_0_154,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    i_0_93 ).

cnf(c_0_155,hypothesis,
    aScalar0(xR),
    i_0_83 ).

cnf(c_0_156,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_30 ).

cnf(c_0_157,plain,
    ( smndt0(sdtasdt0(xS,xS)) = sdtasdt0(xS,smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).

cnf(c_0_158,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_159,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_160,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_161,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_162,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(smndt0(xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_154]),c_0_155])]) ).

cnf(c_0_163,plain,
    ( sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_151])]) ).

cnf(c_0_164,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_165,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_166,hypothesis,
    sdtasdt0(xD,xF) = xS,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161])]) ).

cnf(c_0_167,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    i_0_16 ).

cnf(c_0_168,plain,
    ( smndt0(smndt0(xN)) = sdtasdt0(xS,xR)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_162]),c_0_155]),c_0_151])]) ).

cnf(c_0_169,hypothesis,
    aScalar0(xN),
    i_0_89 ).

cnf(c_0_170,plain,
    ( smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(smndt0(smndt0(xS)),xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_163]),c_0_151])]) ).

cnf(c_0_171,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_143]),c_0_165]) ).

cnf(c_0_172,plain,
    sdtasdt0(xD,smndt0(xF)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_166]),c_0_160]),c_0_161])]) ).

cnf(c_0_173,plain,
    ( sdtasdt0(xS,xR) = xN
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169])]) ).

cnf(c_0_174,plain,
    ( sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_170]),c_0_144]),c_0_151])]) ).

cnf(c_0_175,plain,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_160]),c_0_161])]) ).

cnf(c_0_176,plain,
    sdtasdt0(xS,xR) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_164]),c_0_151])]) ).

cnf(c_0_177,plain,
    ( sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,smndt0(smndt0(xS)))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_170]),c_0_151])]) ).

cnf(c_0_178,plain,
    sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]) ).

cnf(c_0_179,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_28 ).

cnf(c_0_180,plain,
    sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_176]),c_0_155]),c_0_151])]) ).

cnf(c_0_181,plain,
    sdtasdt0(xS,smndt0(smndt0(xS))) = sdtasdt0(xS,xS),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_175])]),c_0_178]) ).

cnf(c_0_182,hypothesis,
    ( sdtpldt0(sdtasdt0(smndt0(xS),X1),smndt0(xN)) = sdtasdt0(smndt0(xS),sdtpldt0(X1,xR))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_154]),c_0_155])]),c_0_175])]) ).

cnf(c_0_183,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_25 ).

cnf(c_0_184,hypothesis,
    ( sdtpldt0(sdtasdt0(smndt0(xS),X1),sdtasdt0(xS,xS)) = sdtasdt0(smndt0(xS),sdtpldt0(X1,smndt0(xS)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_144]),c_0_175])]) ).

cnf(c_0_185,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    i_0_97 ).

cnf(c_0_186,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_26 ).

cnf(c_0_187,plain,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_180]),c_0_155]),c_0_151])]) ).

cnf(c_0_188,plain,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_181]),c_0_175]),c_0_151])]) ).

cnf(c_0_189,hypothesis,
    sdtasdt0(smndt0(xS),sdtpldt0(smndt0(xS),xR)) = sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_144]),c_0_175])]) ).

cnf(c_0_190,hypothesis,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_169]) ).

cnf(c_0_191,hypothesis,
    sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_154]),c_0_155])]) ).

cnf(c_0_192,negated_conjecture,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188])]) ).

cnf(c_0_193,hypothesis,
    sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)) = sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_155]),c_0_175])]) ).

cnf(c_0_194,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_195,negated_conjecture,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(rw,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_196,plain,
    ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X4) = sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_186]),c_0_194]) ).

cnf(c_0_197,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    i_0_95 ).

cnf(c_0_198,plain,
    ~ aScalar0(sdtasdt0(xR,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_193]),c_0_197]),c_0_187]),c_0_188])]) ).

cnf(c_0_199,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_165]),c_0_155])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG062+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 : n025.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 05:39:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.85/2.51  # ENIGMATIC: Solved by autoschedule:
% 8.85/2.51  # No SInE strategy applied
% 8.85/2.51  # Trying AutoSched0 for 150 seconds
% 8.85/2.51  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.85/2.51  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.85/2.51  #
% 8.85/2.51  # Preprocessing time       : 0.025 s
% 8.85/2.51  
% 8.85/2.51  # Proof found!
% 8.85/2.51  # SZS status Theorem
% 8.85/2.51  # SZS output start CNFRefutation
% See solution above
% 8.85/2.51  # Training examples: 0 positive, 0 negative
% 8.85/2.51  
% 8.85/2.51  # -------------------------------------------------
% 8.85/2.51  # User time                : 0.297 s
% 8.85/2.51  # System time              : 0.014 s
% 8.85/2.51  # Total time               : 0.311 s
% 8.85/2.51  # Maximum resident set size: 7116 pages
% 8.85/2.51  
%------------------------------------------------------------------------------