TSTP Solution File: RNG063+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG063+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 17.83s 3.64s
% Output   : CNFRefutation 17.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   65
% Syntax   : Number of clauses     :  255 ( 134 unt;   9 nHn; 255 RR)
%            Number of literals    :  505 ( 161 equ; 248 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  177 (   7 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-5b0ozu8g/input.p',i_0_49) ).

cnf(i_0_61,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_61) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/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-5b0ozu8g/input.p',i_0_50) ).

cnf(i_0_64,hypothesis,
    sziznziztdt0(xt) = xq,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_64) ).

cnf(i_0_57,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/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-5b0ozu8g/input.p',i_0_46) ).

cnf(i_0_65,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_65) ).

cnf(i_0_4,plain,
    ( aNaturalNumber0(szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_4) ).

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-5b0ozu8g/input.p',i_0_23) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_45) ).

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-5b0ozu8g/input.p',i_0_30) ).

cnf(i_0_84,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_84) ).

cnf(i_0_81,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_81) ).

cnf(i_0_75,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_75) ).

cnf(i_0_16,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_16) ).

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-5b0ozu8g/input.p',i_0_31) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_13) ).

cnf(i_0_93,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_93) ).

cnf(i_0_83,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_83) ).

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-5b0ozu8g/input.p',i_0_32) ).

cnf(i_0_87,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_87) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_14) ).

cnf(i_0_80,hypothesis,
    sdtasdt0(xA,xB) = xH,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_80) ).

cnf(i_0_69,hypothesis,
    aScalar0(xB),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_69) ).

cnf(i_0_67,hypothesis,
    aScalar0(xA),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_67) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_82) ).

cnf(i_0_79,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_79) ).

cnf(i_0_71,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_71) ).

cnf(i_0_89,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_89) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_86) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_77) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_73) ).

cnf(i_0_24,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_24) ).

cnf(i_0_92,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_92) ).

cnf(i_0_78,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_78) ).

cnf(i_0_85,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_85) ).

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-5b0ozu8g/input.p',i_0_26) ).

cnf(i_0_17,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_17) ).

cnf(i_0_36,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_36) ).

cnf(i_0_91,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_91) ).

cnf(i_0_18,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_18) ).

cnf(i_0_22,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_22) ).

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/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_37) ).

cnf(i_0_21,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_21) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_11) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_42) ).

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-5b0ozu8g/input.p',i_0_28) ).

cnf(i_0_35,plain,
    ( X1 = X2
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_35) ).

cnf(i_0_41,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_41) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_12) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_19) ).

cnf(i_0_15,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_15) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_39) ).

cnf(i_0_40,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_40) ).

cnf(i_0_56,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_56) ).

cnf(i_0_70,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_70) ).

cnf(i_0_63,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_63) ).

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-5b0ozu8g/input.p',i_0_25) ).

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-5b0ozu8g/input.p',i_0_95) ).

cnf(i_0_34,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_34) ).

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/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_38) ).

cnf(i_0_97,hypothesis,
    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-5b0ozu8g/input.p',i_0_97) ).

cnf(i_0_20,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_20) ).

cnf(i_0_98,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5b0ozu8g/input.p',i_0_98) ).

cnf(c_0_164,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    i_0_49 ).

cnf(c_0_165,hypothesis,
    aDimensionOf0(xs) != sz00,
    i_0_61 ).

cnf(c_0_166,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_167,plain,
    ( aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    i_0_50 ).

cnf(c_0_168,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_164]) ).

cnf(c_0_169,hypothesis,
    sziznziztdt0(xt) = xq,
    i_0_64 ).

cnf(c_0_170,hypothesis,
    aVector0(xt),
    i_0_57 ).

cnf(c_0_171,hypothesis,
    aDimensionOf0(xt) != sz00,
    inference(rw,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_172,plain,
    ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_167]) ).

cnf(c_0_173,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    i_0_46 ).

cnf(c_0_174,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_168,c_0_169]),c_0_170])]),c_0_171]) ).

cnf(c_0_175,hypothesis,
    aVector0(xq),
    i_0_65 ).

cnf(c_0_176,plain,
    ( aNaturalNumber0(szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_4 ).

cnf(c_0_177,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_169]),c_0_170])]),c_0_171]) ).

cnf(c_0_178,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_179,plain,
    ( aScalar0(sdtlbdtrb0(xt,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175])]) ).

cnf(c_0_180,plain,
    ( aNaturalNumber0(aDimensionOf0(xt))
    | ~ aNaturalNumber0(aDimensionOf0(xq)) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_181,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_182,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_183,plain,
    aNaturalNumber0(aDimensionOf0(xt)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_175])]) ).

cnf(c_0_184,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_30 ).

cnf(c_0_185,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_84 ).

cnf(c_0_186,hypothesis,
    aScalar0(xH),
    i_0_81 ).

cnf(c_0_187,hypothesis,
    aScalar0(xE),
    i_0_75 ).

cnf(c_0_188,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    i_0_16 ).

cnf(c_0_189,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_190,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_191,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_192,hypothesis,
    sdtasdt0(smndt0(xE),xH) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187])]) ).

cnf(c_0_193,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).

cnf(c_0_194,hypothesis,
    sdtasdt0(xE,smndt0(xH)) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_185]),c_0_186]),c_0_187])]) ).

cnf(c_0_195,hypothesis,
    sdtasdt0(smndt0(xS),xR) = smndt0(xN),
    i_0_93 ).

cnf(c_0_196,hypothesis,
    aScalar0(xR),
    i_0_83 ).

cnf(c_0_197,plain,
    ( sdtasdt0(xH,smndt0(xE)) = smndt0(xP)
    | ~ aScalar0(smndt0(xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_186])]) ).

cnf(c_0_198,plain,
    smndt0(smndt0(xP)) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_185]),c_0_186]),c_0_187])]) ).

cnf(c_0_199,plain,
    ( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_32 ).

cnf(c_0_200,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_189,c_0_195]),c_0_196])]) ).

cnf(c_0_201,hypothesis,
    aScalar0(xS),
    i_0_87 ).

cnf(c_0_202,plain,
    ( sdtasdt0(xH,xE) = xP
    | ~ aScalar0(smndt0(xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_197]),c_0_198]),c_0_187]),c_0_186])]) ).

cnf(c_0_203,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_204,hypothesis,
    sdtasdt0(xA,xB) = xH,
    i_0_80 ).

cnf(c_0_205,hypothesis,
    aScalar0(xB),
    i_0_69 ).

cnf(c_0_206,hypothesis,
    aScalar0(xA),
    i_0_67 ).

cnf(c_0_207,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_82 ).

cnf(c_0_208,hypothesis,
    aScalar0(xG),
    i_0_79 ).

cnf(c_0_209,hypothesis,
    aScalar0(xC),
    i_0_71 ).

cnf(c_0_210,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_199,c_0_200]),c_0_196]),c_0_201])]) ).

cnf(c_0_211,hypothesis,
    aScalar0(xN),
    i_0_89 ).

cnf(c_0_212,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_213,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_214,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_215,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_24 ).

cnf(c_0_216,plain,
    sdtasdt0(xH,xE) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_187])]) ).

cnf(c_0_217,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_189]),c_0_190]) ).

cnf(c_0_218,hypothesis,
    sdtasdt0(xA,smndt0(xB)) = smndt0(xH),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_204]),c_0_205]),c_0_206])]) ).

cnf(c_0_219,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    i_0_92 ).

cnf(c_0_220,hypothesis,
    sdtasdt0(smndt0(xC),xG) = smndt0(xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_207]),c_0_208]),c_0_209])]) ).

cnf(c_0_221,hypothesis,
    sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_207]),c_0_208]),c_0_209])]) ).

cnf(c_0_222,plain,
    ( sdtasdt0(xS,xR) = xN
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_210]),c_0_211])]) ).

cnf(c_0_223,hypothesis,
    sdtasdt0(xD,xF) = xS,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_191]),c_0_213]),c_0_214])]) ).

cnf(c_0_224,plain,
    ( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_215]),c_0_190]) ).

cnf(c_0_225,plain,
    sdtasdt0(smndt0(xH),xE) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_216]),c_0_187]),c_0_186])]) ).

cnf(c_0_226,plain,
    aScalar0(smndt0(xH)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_205]),c_0_206])]) ).

cnf(c_0_227,hypothesis,
    ( sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_189,c_0_219]) ).

cnf(c_0_228,plain,
    ( sdtasdt0(xG,smndt0(xC)) = smndt0(xR)
    | ~ aScalar0(smndt0(xC)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_220]),c_0_208])]) ).

cnf(c_0_229,plain,
    smndt0(smndt0(xR)) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_221]),c_0_207]),c_0_208]),c_0_209])]) ).

cnf(c_0_230,plain,
    sdtasdt0(xS,xR) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_203]),c_0_201])]) ).

cnf(c_0_231,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_189,c_0_223]),c_0_213]),c_0_214])]) ).

cnf(c_0_232,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(xP)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_187]),c_0_226])]) ).

cnf(c_0_233,plain,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_194]),c_0_186]),c_0_187])]) ).

cnf(c_0_234,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_199,c_0_227]),c_0_201])]) ).

cnf(c_0_235,plain,
    ( sdtasdt0(xG,xC) = xR
    | ~ aScalar0(smndt0(xC)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_228]),c_0_229]),c_0_209]),c_0_208])]) ).

cnf(c_0_236,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_78 ).

cnf(c_0_237,plain,
    ( smndt0(smndt0(xN)) = xN
    | ~ aScalar0(smndt0(xS)) ),
    inference(rw,[status(thm)],[c_0_210,c_0_230]) ).

cnf(c_0_238,plain,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_231]),c_0_213]),c_0_214])]) ).

cnf(c_0_239,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_189,c_0_230]),c_0_196]),c_0_201])]) ).

cnf(c_0_240,plain,
    ( aScalar0(sdtasdt0(smndt0(xP),X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_191]),c_0_233])]) ).

cnf(c_0_241,plain,
    ( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_184]) ).

cnf(c_0_242,hypothesis,
    aScalar0(xP),
    i_0_85 ).

cnf(c_0_243,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_184,c_0_234]),c_0_201])]) ).

cnf(c_0_244,plain,
    sdtasdt0(xG,xC) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_203]),c_0_209])]) ).

cnf(c_0_245,hypothesis,
    sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_236]),c_0_205])]) ).

cnf(c_0_246,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_26 ).

cnf(c_0_247,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_17 ).

cnf(c_0_248,plain,
    smndt0(smndt0(xN)) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238])]) ).

cnf(c_0_249,plain,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_239]),c_0_196]),c_0_201])]) ).

cnf(c_0_250,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_251,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    i_0_91 ).

cnf(c_0_252,plain,
    ( aScalar0(sdtasdt0(xP,smndt0(X1)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242])]) ).

cnf(c_0_253,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_184,c_0_243]),c_0_201])]) ).

cnf(c_0_254,plain,
    sdtasdt0(smndt0(xG),xC) = smndt0(xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_244]),c_0_209]),c_0_208])]) ).

cnf(c_0_255,plain,
    aScalar0(smndt0(xG)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_245]),c_0_205])]) ).

cnf(c_0_256,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_203]) ).

cnf(c_0_257,plain,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249])]) ).

cnf(c_0_258,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(X1,sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_211])]) ).

cnf(c_0_259,plain,
    aScalar0(sdtasdt0(xP,xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_198]),c_0_233])]) ).

cnf(c_0_260,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_18 ).

cnf(c_0_261,plain,
    ( smndt0(sdtasdt0(xS,xS)) = sdtasdt0(smndt0(xS),xS)
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_188]),c_0_201])]) ).

cnf(c_0_262,plain,
    smndt0(sdtasdt0(xS,xS)) = sdtasdt0(xS,smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_238])]) ).

cnf(c_0_263,hypothesis,
    sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_212]),c_0_214]),c_0_213])]) ).

cnf(c_0_264,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_184,c_0_253]),c_0_219]),c_0_201])]) ).

cnf(c_0_265,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(xR)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_254]),c_0_209]),c_0_255])]) ).

cnf(c_0_266,plain,
    aScalar0(smndt0(xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_221]),c_0_208]),c_0_209])]) ).

cnf(c_0_267,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    i_0_22 ).

cnf(c_0_268,plain,
    sdtpldt0(smndt0(xN),sz0z00) = sdtpldt0(sz0z00,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_249]),c_0_211])]) ).

cnf(c_0_269,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_270,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    i_0_21 ).

cnf(c_0_271,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_272,hypothesis,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(X1,sdtasdt0(xP,xP))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259])]) ).

cnf(c_0_273,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_274,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_189]),c_0_190]) ).

cnf(c_0_275,plain,
    sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_238])]),c_0_262]) ).

cnf(c_0_276,hypothesis,
    smndt0(smndt0(xS)) = xS,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_263]),c_0_212]),c_0_214]),c_0_213])]) ).

cnf(c_0_277,plain,
    sdtasdt0(smndt0(smndt0(xS)),xS) = sdtasdt0(xS,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_238])]) ).

cnf(c_0_278,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_279,plain,
    ( aScalar0(sdtasdt0(smndt0(xR),X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_191]),c_0_266])]) ).

cnf(c_0_280,plain,
    ( X1 = X2
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_35 ).

cnf(c_0_281,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_41 ).

cnf(c_0_282,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_283,plain,
    sdtpldt0(sz0z00,smndt0(xN)) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_249])]) ).

cnf(c_0_284,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_19 ).

cnf(c_0_285,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]) ).

cnf(c_0_286,plain,
    sdtlseqdt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_271]),c_0_242])]) ).

cnf(c_0_287,hypothesis,
    sdtpldt0(sdtasdt0(xS,smndt0(xS)),sdtasdt0(xS,xS)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_219]),c_0_275]),c_0_201]),c_0_238])]) ).

cnf(c_0_288,plain,
    sdtpldt0(smndt0(xS),xS) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_276]),c_0_238])]) ).

cnf(c_0_289,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_15 ).

cnf(c_0_290,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_291,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_40 ).

cnf(c_0_292,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_236]),c_0_205])]) ).

cnf(c_0_293,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    i_0_56 ).

cnf(c_0_294,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_70 ).

cnf(c_0_295,hypothesis,
    aVector0(xp),
    i_0_63 ).

cnf(c_0_296,plain,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(smndt0(xS))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_277]),c_0_201])]) ).

cnf(c_0_297,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_278,c_0_195]),c_0_196])]),c_0_238])]) ).

cnf(c_0_298,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_25 ).

cnf(c_0_299,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_278,c_0_219]),c_0_238])]) ).

cnf(c_0_300,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_301,plain,
    ( aScalar0(sdtasdt0(xR,smndt0(X1)))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_241]),c_0_196])]) ).

cnf(c_0_302,plain,
    ( sdtpldt0(X1,X2) = sz0z00
    | ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_271])]),c_0_282]) ).

cnf(c_0_303,plain,
    sdtpldt0(smndt0(xN),sz0z00) = smndt0(xN),
    inference(rw,[status(thm)],[c_0_268,c_0_283]) ).

cnf(c_0_304,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_284]),c_0_271])]) ).

cnf(c_0_305,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X1,smndt0(xN))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_257]),c_0_286]),c_0_249]),c_0_211])]) ).

cnf(c_0_306,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    i_0_34 ).

cnf(c_0_307,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_308,plain,
    sdtasdt0(xS,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_287]),c_0_288]),c_0_201]),c_0_238])]) ).

cnf(c_0_309,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_289,c_0_211]) ).

cnf(c_0_310,plain,
    ( sdtlseqdt0(smndt0(xS),X1)
    | sdtlseqdt0(X1,smndt0(xS))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_290,c_0_238]) ).

cnf(c_0_311,plain,
    ( sdtlseqdt0(sz0z00,xR)
    | ~ sdtlseqdt0(sz0z00,xC) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_244]),c_0_292]),c_0_209]),c_0_208])]) ).

cnf(c_0_312,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295])]) ).

cnf(c_0_313,plain,
    sdtpldt0(xS,smndt0(xS)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_276]),c_0_238])]) ).

cnf(c_0_314,plain,
    sdtpldt0(smndt0(xN),xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_248]),c_0_249])]) ).

cnf(c_0_315,hypothesis,
    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_316,plain,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_188]),c_0_201])]) ).

cnf(c_0_317,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_297,c_0_219]),c_0_238])]) ).

cnf(c_0_318,hypothesis,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_298,c_0_211]) ).

cnf(c_0_319,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_299,c_0_195]),c_0_196])]) ).

cnf(c_0_320,hypothesis,
    ( sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_246]),c_0_249])]) ).

cnf(c_0_321,plain,
    aScalar0(sdtasdt0(xR,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_229]),c_0_266])]) ).

cnf(c_0_322,plain,
    ( aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3)))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_278]),c_0_190]),c_0_190]) ).

cnf(c_0_323,plain,
    ( smndt0(xN) = sz0z00
    | ~ sdtlseqdt0(smndt0(xN),sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]),c_0_271]),c_0_249])]) ).

cnf(c_0_324,plain,
    sdtlseqdt0(smndt0(xN),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_249])]) ).

cnf(c_0_325,hypothesis,
    ( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
    | ~ sdtlseqdt0(X1,smndt0(xS))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,xR)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_195]),c_0_196])]),c_0_238])]) ).

cnf(c_0_326,plain,
    sdtasdt0(smndt0(xS),sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_308]),c_0_309]),c_0_271]),c_0_201])]) ).

cnf(c_0_327,plain,
    sdtlseqdt0(smndt0(xS),smndt0(xS)),
    inference(spm,[status(thm)],[c_0_310,c_0_238]) ).

cnf(c_0_328,plain,
    sdtlseqdt0(sz0z00,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_312])]) ).

cnf(c_0_329,plain,
    sdtpldt0(smndt0(xS),sz0z00) = sdtpldt0(sz0z00,smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_313]),c_0_238]),c_0_201])]) ).

cnf(c_0_330,plain,
    sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_314]),c_0_248]),c_0_211]),c_0_249])]) ).

cnf(c_0_331,hypothesis,
    ( 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_315,c_0_246]),c_0_249]),c_0_316])]) ).

cnf(c_0_332,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_317,c_0_318]),c_0_319]),c_0_196]),c_0_238])]) ).

cnf(c_0_333,hypothesis,
    ( sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_321])]) ).

cnf(c_0_334,plain,
    aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_319]),c_0_238]),c_0_196])]) ).

cnf(c_0_335,plain,
    ( smndt0(xN) = sz0z00
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_324])]) ).

cnf(c_0_336,plain,
    sdtlseqdt0(sz0z00,smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]),c_0_304]),c_0_328]),c_0_271]),c_0_238])]) ).

cnf(c_0_337,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_20 ).

cnf(c_0_338,plain,
    sdtpldt0(sz0z00,smndt0(xS)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_329]),c_0_238])]) ).

cnf(c_0_339,plain,
    sdtpldt0(sz0z00,xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_330]),c_0_211])]) ).

cnf(c_0_340,hypothesis,
    ( 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_331,c_0_332]) ).

cnf(c_0_341,hypothesis,
    sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_334])]) ).

cnf(c_0_342,plain,
    smndt0(xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_336])]) ).

cnf(c_0_343,plain,
    sdtpldt0(sz0z00,sdtasdt0(xS,xS)) = sdtasdt0(xS,xS),
    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_299,c_0_337]),c_0_338]),c_0_219]),c_0_271]),c_0_238])]) ).

cnf(c_0_344,negated_conjecture,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    i_0_98 ).

cnf(c_0_345,plain,
    sdtpldt0(xN,sz0z00) = xN,
    inference(rw,[status(thm)],[c_0_330,c_0_339]) ).

cnf(c_0_346,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_321])]) ).

cnf(c_0_347,hypothesis,
    sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_342]),c_0_342]),c_0_343]),c_0_343]) ).

cnf(c_0_348,negated_conjecture,
    ( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(xN,xN)) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_246]),c_0_211])]) ).

cnf(c_0_349,plain,
    xN = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_342]),c_0_345]) ).

cnf(c_0_350,plain,
    sdtpldt0(sz0z00,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_309]),c_0_271])]) ).

cnf(c_0_351,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_342]),c_0_343]),c_0_342]),c_0_347]) ).

cnf(c_0_352,negated_conjecture,
    ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349]),c_0_349]),c_0_350]),c_0_347]),c_0_351]),c_0_347])]) ).

cnf(c_0_353,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_282]),c_0_316]),c_0_321])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : RNG063+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 16:44:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 17.83/3.64  # ENIGMATIC: Solved by autoschedule:
% 17.83/3.64  # No SInE strategy applied
% 17.83/3.64  # Trying AutoSched0 for 150 seconds
% 17.83/3.64  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 17.83/3.64  # and selection function SelectMaxLComplexAvoidPosPred.
% 17.83/3.64  #
% 17.83/3.64  # Preprocessing time       : 0.025 s
% 17.83/3.64  
% 17.83/3.64  # Proof found!
% 17.83/3.64  # SZS status Theorem
% 17.83/3.64  # SZS output start CNFRefutation
% See solution above
% 17.83/3.64  # Training examples: 0 positive, 0 negative
% 17.83/3.64  
% 17.83/3.64  # -------------------------------------------------
% 17.83/3.64  # User time                : 1.205 s
% 17.83/3.64  # System time              : 0.070 s
% 17.83/3.64  # Total time               : 1.276 s
% 17.83/3.64  # Maximum resident set size: 7120 pages
% 17.83/3.64  
%------------------------------------------------------------------------------