TSTP Solution File: RNG058+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG058+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 20:24:50 EDT 2022

% Result   : Theorem 15.48s 3.50s
% Output   : CNFRefutation 15.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   54
% Syntax   : Number of clauses     :  189 ( 110 unt;   7 nHn; 189 RR)
%            Number of literals    :  377 (  99 equ; 189 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  17 con; 0-2 aty)
%            Number of variables   :  136 (   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-zylzxr6n/lgb.p',i_0_49) ).

cnf(i_0_62,hypothesis,
    sziznziztdt0(xs) = xp,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_62) ).

cnf(i_0_58,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_58) ).

cnf(i_0_61,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_61) ).

cnf(i_0_46,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_46) ).

cnf(i_0_63,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_63) ).

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-zylzxr6n/lgb.p',i_0_23) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_2) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_82) ).

cnf(i_0_71,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_71) ).

cnf(i_0_79,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_79) ).

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-zylzxr6n/lgb.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-zylzxr6n/lgb.p',i_0_13) ).

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-zylzxr6n/lgb.p',i_0_30) ).

cnf(i_0_88,hypothesis,
    sdtasdt0(xR,xS) = xN,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_88) ).

cnf(i_0_87,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_87) ).

cnf(i_0_83,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_83) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_14) ).

cnf(i_0_76,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_76) ).

cnf(i_0_67,hypothesis,
    aScalar0(xA),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_67) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_86) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_73) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_77) ).

cnf(i_0_16,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_16) ).

cnf(i_0_56,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_56) ).

cnf(i_0_70,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_70) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_42) ).

cnf(i_0_78,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_78) ).

cnf(i_0_69,hypothesis,
    aScalar0(xB),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_69) ).

cnf(i_0_89,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_89) ).

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-zylzxr6n/lgb.p',i_0_40) ).

cnf(i_0_72,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_72) ).

cnf(i_0_65,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_65) ).

cnf(i_0_15,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_15) ).

cnf(i_0_75,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_75) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_19) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_11) ).

cnf(i_0_84,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_84) ).

cnf(i_0_81,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_81) ).

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-zylzxr6n/lgb.p',i_0_37) ).

cnf(i_0_21,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_21) ).

cnf(i_0_17,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_17) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_39) ).

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-zylzxr6n/lgb.p',i_0_38) ).

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-zylzxr6n/lgb.p',i_0_26) ).

cnf(i_0_18,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_18) ).

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-zylzxr6n/lgb.p',i_0_35) ).

cnf(i_0_91,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_91) ).

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-zylzxr6n/lgb.p',i_0_36) ).

cnf(i_0_85,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_85) ).

cnf(i_0_22,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_22) ).

cnf(i_0_92,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zylzxr6n/lgb.p',i_0_92) ).

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-zylzxr6n/lgb.p',i_0_28) ).

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-zylzxr6n/lgb.p',i_0_24) ).

cnf(c_0_147,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    i_0_49 ).

cnf(c_0_148,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_147]) ).

cnf(c_0_149,hypothesis,
    sziznziztdt0(xs) = xp,
    i_0_62 ).

cnf(c_0_150,hypothesis,
    aVector0(xs),
    i_0_58 ).

cnf(c_0_151,hypothesis,
    aDimensionOf0(xs) != sz00,
    i_0_61 ).

cnf(c_0_152,plain,
    ( aScalar0(sdtlbdtrb0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    i_0_46 ).

cnf(c_0_153,hypothesis,
    ( sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]),c_0_151]) ).

cnf(c_0_154,hypothesis,
    aVector0(xp),
    i_0_63 ).

cnf(c_0_155,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_156,plain,
    ( aScalar0(sdtlbdtrb0(xs,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154])]) ).

cnf(c_0_157,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_158,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_159,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_82 ).

cnf(c_0_160,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_161,hypothesis,
    aScalar0(xC),
    i_0_71 ).

cnf(c_0_162,hypothesis,
    aScalar0(xG),
    i_0_79 ).

cnf(c_0_163,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_164,hypothesis,
    sdtasdt0(xG,xC) = xR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162])]) ).

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

cnf(c_0_166,plain,
    sdtasdt0(xG,smndt0(xC)) = smndt0(xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_161]),c_0_162])]) ).

cnf(c_0_167,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_30 ).

cnf(c_0_168,hypothesis,
    sdtasdt0(xR,xS) = xN,
    i_0_88 ).

cnf(c_0_169,hypothesis,
    aScalar0(xS),
    i_0_87 ).

cnf(c_0_170,hypothesis,
    aScalar0(xR),
    i_0_83 ).

cnf(c_0_171,plain,
    ( aScalar0(smndt0(xR))
    | ~ aScalar0(smndt0(xC)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_162])]) ).

cnf(c_0_172,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_173,hypothesis,
    sdtasdt0(smndt0(xR),xS) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_170])]) ).

cnf(c_0_174,plain,
    aScalar0(smndt0(xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_161])]) ).

cnf(c_0_175,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_76 ).

cnf(c_0_176,hypothesis,
    aScalar0(xA),
    i_0_67 ).

cnf(c_0_177,hypothesis,
    sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_160]),c_0_169])]),c_0_174])]) ).

cnf(c_0_178,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_179,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_180,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_181,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_163]),c_0_165]) ).

cnf(c_0_182,hypothesis,
    sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_175]),c_0_176])]) ).

cnf(c_0_183,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    i_0_16 ).

cnf(c_0_184,plain,
    sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_177]),c_0_174]),c_0_169])]) ).

cnf(c_0_185,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    i_0_56 ).

cnf(c_0_186,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_70 ).

cnf(c_0_187,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_188,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_78 ).

cnf(c_0_189,hypothesis,
    aScalar0(xB),
    i_0_69 ).

cnf(c_0_190,hypothesis,
    sdtasdt0(smndt0(xF),xD) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_178]),c_0_179]),c_0_180])]) ).

cnf(c_0_191,plain,
    aScalar0(smndt0(xF)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_176])]) ).

cnf(c_0_192,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_163]),c_0_165]) ).

cnf(c_0_193,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_163,c_0_178]),c_0_179]),c_0_180])]) ).

cnf(c_0_194,plain,
    smndt0(smndt0(xN)) = sdtasdt0(xS,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_183]),c_0_170])]) ).

cnf(c_0_195,hypothesis,
    aScalar0(xN),
    i_0_89 ).

cnf(c_0_196,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_40 ).

cnf(c_0_197,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_154])]) ).

cnf(c_0_198,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]) ).

cnf(c_0_199,plain,
    sdtasdt0(xD,smndt0(xF)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_190]),c_0_179])]),c_0_191])]) ).

cnf(c_0_200,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_192,c_0_193]),c_0_178]),c_0_179]),c_0_180])]) ).

cnf(c_0_201,plain,
    smndt0(smndt0(xF)) = xF,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_182]),c_0_175]),c_0_176])]) ).

cnf(c_0_202,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_72 ).

cnf(c_0_203,hypothesis,
    aVector0(xq),
    i_0_65 ).

cnf(c_0_204,plain,
    ( smndt0(sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_15 ).

cnf(c_0_205,hypothesis,
    aScalar0(xE),
    i_0_75 ).

cnf(c_0_206,plain,
    sdtasdt0(xS,xR) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_194]),c_0_195])]) ).

cnf(c_0_207,plain,
    sdtlseqdt0(sz0z00,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_196,c_0_164]),c_0_161]),c_0_162]),c_0_197]),c_0_198])]) ).

cnf(c_0_208,plain,
    sdtasdt0(xD,xF) = 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_163,c_0_199]),c_0_200]),c_0_201]),c_0_191]),c_0_179])]) ).

cnf(c_0_209,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_175]),c_0_176])]) ).

cnf(c_0_210,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_202]),c_0_203])]) ).

cnf(c_0_211,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_19 ).

cnf(c_0_212,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_213,hypothesis,
    smndt0(sz0z00) = sz0z00,
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_214,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_84 ).

cnf(c_0_215,hypothesis,
    aScalar0(xH),
    i_0_81 ).

cnf(c_0_216,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_217,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    i_0_21 ).

cnf(c_0_218,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_17 ).

cnf(c_0_219,plain,
    smndt0(smndt0(xN)) = xN,
    inference(rw,[status(thm)],[c_0_194,c_0_206]) ).

cnf(c_0_220,plain,
    aScalar0(smndt0(xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_177]),c_0_174]),c_0_169])]) ).

cnf(c_0_221,plain,
    ( sdtlseqdt0(sz0z00,xN)
    | ~ sdtlseqdt0(sz0z00,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_206]),c_0_170]),c_0_169]),c_0_207])]) ).

cnf(c_0_222,plain,
    sdtlseqdt0(sz0z00,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_196,c_0_208]),c_0_180]),c_0_179]),c_0_209]),c_0_210])]) ).

cnf(c_0_223,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_224,plain,
    ( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_211]),c_0_212])]),c_0_213]) ).

cnf(c_0_225,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_192,c_0_166]),c_0_164]),c_0_161]),c_0_162])]) ).

cnf(c_0_226,hypothesis,
    sdtasdt0(xH,xE) = xP,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_160]),c_0_205]),c_0_215])]) ).

cnf(c_0_227,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_212])]) ).

cnf(c_0_228,plain,
    sdtpldt0(xN,smndt0(xN)) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).

cnf(c_0_229,plain,
    sdtlseqdt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222])]) ).

cnf(c_0_230,plain,
    ( sdtlseqdt0(smndt0(xN),X1)
    | sdtlseqdt0(X1,smndt0(xN))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_223,c_0_220]) ).

cnf(c_0_231,plain,
    sdtasdt0(sz0z00,xR) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_174])]) ).

cnf(c_0_232,plain,
    sdtasdt0(xH,smndt0(xE)) = smndt0(xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_226]),c_0_205]),c_0_215])]) ).

cnf(c_0_233,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,smndt0(xN)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_220]),c_0_195]),c_0_229])]) ).

cnf(c_0_234,plain,
    sdtlseqdt0(smndt0(xN),smndt0(xN)),
    inference(spm,[status(thm)],[c_0_230,c_0_220]) ).

cnf(c_0_235,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_236,plain,
    sdtasdt0(xR,sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_231]),c_0_170]),c_0_212])]) ).

cnf(c_0_237,plain,
    ( sdtlseqdt0(smndt0(xR),X1)
    | sdtlseqdt0(X1,smndt0(xR))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_223,c_0_174]) ).

cnf(c_0_238,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_26 ).

cnf(c_0_239,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_18 ).

cnf(c_0_240,plain,
    ( X1 = X2
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_35 ).

cnf(c_0_241,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    i_0_91 ).

cnf(c_0_242,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_243,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_163,c_0_214]),c_0_215]),c_0_205])]) ).

cnf(c_0_244,plain,
    ( aScalar0(smndt0(xP))
    | ~ aScalar0(smndt0(xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_232]),c_0_215])]) ).

cnf(c_0_245,plain,
    sdtlseqdt0(smndt0(xN),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_220])]) ).

cnf(c_0_246,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,smndt0(xR))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X2,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_173]),c_0_169])]),c_0_174])]) ).

cnf(c_0_247,plain,
    sdtasdt0(smndt0(xR),sz0z00) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_236]),c_0_213]),c_0_212]),c_0_170])]) ).

cnf(c_0_248,plain,
    sdtlseqdt0(smndt0(xR),smndt0(xR)),
    inference(spm,[status(thm)],[c_0_237,c_0_174]) ).

cnf(c_0_249,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_211]),c_0_212])]) ).

cnf(c_0_250,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_218]),c_0_172]) ).

cnf(c_0_251,plain,
    sdtpldt0(smndt0(xN),xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_219]),c_0_220])]) ).

cnf(c_0_252,hypothesis,
    ( sdtasdt0(xP,xP) = xN
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_195])]) ).

cnf(c_0_253,plain,
    ( sdtlseqdt0(X1,sdtasdt0(X2,X2))
    | ~ aScalar0(sdtasdt0(X2,X2))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_187]),c_0_212])]) ).

cnf(c_0_254,hypothesis,
    aScalar0(xP),
    i_0_85 ).

cnf(c_0_255,hypothesis,
    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_192,c_0_243]),c_0_214]),c_0_215]),c_0_205])]) ).

cnf(c_0_256,plain,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_172]),c_0_205])]) ).

cnf(c_0_257,plain,
    ( smndt0(xN) = sz0z00
    | ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_245]),c_0_220]),c_0_212])]) ).

cnf(c_0_258,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_246,c_0_247]),c_0_212]),c_0_174]),c_0_248]),c_0_249]),c_0_222])]) ).

cnf(c_0_259,plain,
    ( sdtpldt0(X1,sz0z00) = X1
    | ~ aScalar0(X1) ),
    i_0_22 ).

cnf(c_0_260,plain,
    sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
    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_250,c_0_251]),c_0_194]),c_0_206]),c_0_195]),c_0_220])]) ).

cnf(c_0_261,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    i_0_92 ).

cnf(c_0_262,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_263,hypothesis,
    ( sdtasdt0(xP,xP) = xN
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ sdtlseqdt0(xN,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_195]),c_0_254])]) ).

cnf(c_0_264,plain,
    ( aScalar0(sdtasdt0(X1,xP))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_255]),c_0_256])]) ).

cnf(c_0_265,plain,
    smndt0(xN) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_258])]) ).

cnf(c_0_266,plain,
    sdtpldt0(sz0z00,xN) = xN,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_195])]) ).

cnf(c_0_267,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_24 ).

cnf(c_0_268,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,sdtpldt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_254])]) ).

cnf(c_0_269,plain,
    ( sdtlseqdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(X4,X5))
    | ~ aScalar0(X5)
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sdtasdt0(X1,X3),X5)
    | ~ sdtlseqdt0(sdtasdt0(X1,X2),X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_262]),c_0_165]),c_0_165]) ).

cnf(c_0_270,plain,
    ( sdtasdt0(xP,xP) = xN
    | ~ sdtlseqdt0(xN,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_254])]) ).

cnf(c_0_271,plain,
    xN = sz0z00,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_265]),c_0_266]) ).

cnf(c_0_272,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_267]),c_0_165]) ).

cnf(c_0_273,hypothesis,
    ( sdtasdt0(xF,sdtasdt0(xD,X1)) = sdtasdt0(xS,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_178]),c_0_179]),c_0_180])]) ).

cnf(c_0_274,hypothesis,
    ( sdtasdt0(xC,sdtasdt0(xG,X1)) = sdtasdt0(xR,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_159]),c_0_162]),c_0_161])]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR))
    | ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xS,xS))
    | ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_254])]) ).

cnf(c_0_276,plain,
    sdtasdt0(xP,xP) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_271]),c_0_271]),c_0_249])]) ).

cnf(c_0_277,plain,
    sdtlseqdt0(sz0z00,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(spm,[status(thm)],[c_0_272,c_0_273]),c_0_178]),c_0_179]),c_0_180]),c_0_178]),c_0_169])]) ).

cnf(c_0_278,plain,
    sdtlseqdt0(sz0z00,sdtasdt0(xR,xR)),
    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_272,c_0_274]),c_0_159]),c_0_162]),c_0_161]),c_0_159]),c_0_170])]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276]),c_0_277]),c_0_276]),c_0_278])]) ).

cnf(c_0_280,plain,
    ~ aScalar0(sdtasdt0(xR,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_165]),c_0_169])]) ).

cnf(c_0_281,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_165]),c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG058+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 17:04:03 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 15.48/3.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 15.48/3.50  # No SInE strategy applied
% 15.48/3.50  # Trying AutoSched0 for 150 seconds
% 15.48/3.50  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 15.48/3.50  # and selection function SelectMaxLComplexAvoidPosPred.
% 15.48/3.50  #
% 15.48/3.50  # Preprocessing time       : 0.022 s
% 15.48/3.50  
% 15.48/3.50  # Proof found!
% 15.48/3.50  # SZS status Theorem
% 15.48/3.50  # SZS output start CNFRefutation
% See solution above
% 15.48/3.50  # Training examples: 0 positive, 0 negative
% 15.48/3.50  
% 15.48/3.50  # -------------------------------------------------
% 15.48/3.50  # User time                : 0.997 s
% 15.48/3.50  # System time              : 0.043 s
% 15.48/3.50  # Total time               : 1.040 s
% 15.48/3.50  # Maximum resident set size: 7120 pages
% 15.48/3.50  
%------------------------------------------------------------------------------