TSTP Solution File: RNG054+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG054+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 20:24:49 EDT 2022

% Result   : Theorem 22.51s 4.28s
% Output   : CNFRefutation 22.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   42
% Syntax   : Number of clauses     :  132 (  69 unt;   4 nHn; 132 RR)
%            Number of literals    :  285 (  46 equ; 157 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  15 con; 0-2 aty)
%            Number of variables   :  111 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_23) ).

cnf(i_0_89,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_89) ).

cnf(i_0_56,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_56) ).

cnf(i_0_72,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_72) ).

cnf(i_0_65,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_65) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_42) ).

cnf(i_0_76,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_76) ).

cnf(i_0_67,hypothesis,
    aScalar0(xA),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_67) ).

cnf(i_0_78,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_78) ).

cnf(i_0_69,hypothesis,
    aScalar0(xB),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_69) ).

cnf(i_0_70,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_70) ).

cnf(i_0_63,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_63) ).

cnf(i_0_31,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_31) ).

cnf(i_0_16,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_16) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_13) ).

cnf(i_0_84,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_84) ).

cnf(i_0_81,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_81) ).

cnf(i_0_75,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_75) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_14) ).

cnf(i_0_40,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_40) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_86) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_73) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_77) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_82) ).

cnf(i_0_79,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_79) ).

cnf(i_0_71,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_71) ).

cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_37) ).

cnf(i_0_21,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_21) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_11) ).

cnf(i_0_30,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_30) ).

cnf(i_0_88,hypothesis,
    sdtasdt0(xR,xS) = xN,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_88) ).

cnf(i_0_87,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_87) ).

cnf(i_0_83,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_83) ).

cnf(i_0_18,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_18) ).

cnf(i_0_36,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_36) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_19) ).

cnf(i_0_34,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_34) ).

cnf(i_0_85,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_85) ).

cnf(i_0_91,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_91) ).

cnf(i_0_38,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3)
    | ~ sdtlseqdt0(sz0z00,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_38) ).

cnf(i_0_20,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_20) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qbml772b/input.p',i_0_39) ).

cnf(c_0_134,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_135,hypothesis,
    aScalar0(xN),
    i_0_89 ).

cnf(c_0_136,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    i_0_56 ).

cnf(c_0_137,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_72 ).

cnf(c_0_138,hypothesis,
    aVector0(xq),
    i_0_65 ).

cnf(c_0_139,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_140,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_76 ).

cnf(c_0_141,hypothesis,
    aScalar0(xA),
    i_0_67 ).

cnf(c_0_142,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_78 ).

cnf(c_0_143,hypothesis,
    aScalar0(xB),
    i_0_69 ).

cnf(c_0_144,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_70 ).

cnf(c_0_145,hypothesis,
    aVector0(xp),
    i_0_63 ).

cnf(c_0_146,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_147,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_148,plain,
    ( smndt0(smndt0(X1)) = X1
    | ~ aScalar0(X1) ),
    i_0_16 ).

cnf(c_0_149,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_150,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_84 ).

cnf(c_0_151,hypothesis,
    aScalar0(xH),
    i_0_81 ).

cnf(c_0_152,hypothesis,
    aScalar0(xE),
    i_0_75 ).

cnf(c_0_153,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_154,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_40 ).

cnf(c_0_155,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_156,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]) ).

cnf(c_0_157,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).

cnf(c_0_158,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_159,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_160,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_82 ).

cnf(c_0_161,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_142]),c_0_143])]) ).

cnf(c_0_162,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_144]),c_0_145])]) ).

cnf(c_0_163,hypothesis,
    aScalar0(xG),
    i_0_79 ).

cnf(c_0_164,hypothesis,
    aScalar0(xC),
    i_0_71 ).

cnf(c_0_165,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_166,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    i_0_21 ).

cnf(c_0_167,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_168,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_169,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_30 ).

cnf(c_0_170,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_146]),c_0_149]) ).

cnf(c_0_171,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_146,c_0_150]),c_0_151]),c_0_152])]) ).

cnf(c_0_172,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_146]),c_0_149]) ).

cnf(c_0_173,hypothesis,
    sdtasdt0(xR,xS) = xN,
    i_0_88 ).

cnf(c_0_174,hypothesis,
    aScalar0(xS),
    i_0_87 ).

cnf(c_0_175,hypothesis,
    aScalar0(xR),
    i_0_83 ).

cnf(c_0_176,hypothesis,
    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_154,c_0_155]),c_0_156]),c_0_157]),c_0_158]),c_0_159])]) ).

cnf(c_0_177,hypothesis,
    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_154,c_0_160]),c_0_161]),c_0_162]),c_0_163]),c_0_164])]) ).

cnf(c_0_178,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_165,c_0_166]),c_0_167])]) ).

cnf(c_0_179,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_18 ).

cnf(c_0_180,plain,
    ( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_168]),c_0_149]) ).

cnf(c_0_181,plain,
    ( sdtasdt0(X1,smndt0(X2)) = sdtasdt0(smndt0(X2),X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(spm,[status(thm)],[c_0_169,c_0_168]) ).

cnf(c_0_182,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_170,c_0_171]),c_0_150]),c_0_151]),c_0_152])]) ).

cnf(c_0_183,plain,
    aScalar0(smndt0(xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_171]),c_0_151]),c_0_152])]) ).

cnf(c_0_184,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_185,hypothesis,
    sdtlseqdt0(sz0z00,xN),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_173]),c_0_174]),c_0_175])]),c_0_176]),c_0_177])]) ).

cnf(c_0_186,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_19 ).

cnf(c_0_187,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X1,smndt0(X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_153]) ).

cnf(c_0_188,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    i_0_34 ).

cnf(c_0_189,plain,
    ( smndt0(sdtasdt0(smndt0(X1),X2)) = sdtasdt0(X1,X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_190,plain,
    ( sdtasdt0(X1,xP) = sdtasdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]) ).

cnf(c_0_191,hypothesis,
    aScalar0(xP),
    i_0_85 ).

cnf(c_0_192,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
    i_0_91 ).

cnf(c_0_193,plain,
    ( sdtlseqdt0(X1,xN)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_167]),c_0_135])]) ).

cnf(c_0_194,plain,
    ( aScalar0(sdtasdt0(X1,xP))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_182]),c_0_183])]) ).

cnf(c_0_195,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_196,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_20 ).

cnf(c_0_197,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_186]),c_0_167])]) ).

cnf(c_0_198,plain,
    ( sdtlseqdt0(smndt0(X1),sz0z00)
    | ~ sdtlseqdt0(sz0z00,X1)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_153]) ).

cnf(c_0_199,plain,
    ( smndt0(sdtasdt0(xP,smndt0(X1))) = sdtasdt0(X1,xP)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191])]),c_0_153]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00)
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_201,plain,
    aScalar0(sdtasdt0(xP,xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_190]),c_0_191])]) ).

cnf(c_0_202,plain,
    ( smndt0(sdtasdt0(smndt0(X1),X2)) = sdtasdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(spm,[status(thm)],[c_0_170,c_0_181]) ).

cnf(c_0_203,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X3,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_167])]) ).

cnf(c_0_204,plain,
    ( sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(sz0z00,smndt0(X1))
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_148]),c_0_153]) ).

cnf(c_0_205,plain,
    smndt0(sdtasdt0(xP,xP)) = sdtasdt0(smndt0(xP),xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_182]),c_0_183])]) ).

cnf(c_0_206,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).

cnf(c_0_207,plain,
    ( smndt0(sdtasdt0(xP,smndt0(X1))) = sdtasdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_190]),c_0_191])]),c_0_153]) ).

cnf(c_0_208,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),X3)
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X2,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).

cnf(c_0_209,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_210,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_203,c_0_188]) ).

cnf(c_0_211,plain,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(smndt0(xP),xP)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_201])]),c_0_206]) ).

cnf(c_0_212,plain,
    sdtasdt0(smndt0(xP),xP) = sdtasdt0(xP,smndt0(xP)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_182]),c_0_183])]),c_0_205]) ).

cnf(c_0_213,plain,
    ( sdtlseqdt0(sz0z00,X1)
    | ~ sdtlseqdt0(smndt0(X2),X1)
    | ~ sdtlseqdt0(X2,sz0z00)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_179]),c_0_153]) ).

cnf(c_0_214,hypothesis,
    ( sdtlseqdt0(xP,X1)
    | sdtlseqdt0(X1,xP)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_209,c_0_191]) ).

cnf(c_0_215,plain,
    ( sdtlseqdt0(X1,sdtasdt0(X2,X3))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(sz0z00,X3)
    | ~ aScalar0(X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_210]),c_0_167])]),c_0_149]) ).

cnf(c_0_216,plain,
    ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP))),
    inference(rw,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_217,plain,
    ( sdtlseqdt0(sz0z00,smndt0(X1))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_188]),c_0_153]) ).

cnf(c_0_218,plain,
    ( sdtlseqdt0(sz0z00,xP)
    | sdtlseqdt0(xP,sz0z00) ),
    inference(spm,[status(thm)],[c_0_214,c_0_167]) ).

cnf(c_0_219,plain,
    ~ sdtlseqdt0(sz0z00,xP),
    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_211,c_0_215]),c_0_197]),c_0_167]),c_0_191]),c_0_183])]) ).

cnf(c_0_220,plain,
    ~ sdtlseqdt0(sz0z00,smndt0(xP)),
    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_216,c_0_215]),c_0_197]),c_0_167]),c_0_183]),c_0_191])]) ).

cnf(c_0_221,plain,
    ( sdtlseqdt0(X1,smndt0(X2))
    | ~ sdtlseqdt0(X1,sz0z00)
    | ~ sdtlseqdt0(X2,sz0z00)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_217]),c_0_167])]),c_0_153]) ).

cnf(c_0_222,plain,
    sdtlseqdt0(xP,sz0z00),
    inference(sr,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_223,plain,
    $false,
    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_220,c_0_221]),c_0_197]),c_0_222]),c_0_167]),c_0_191])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG054+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.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 19:09:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 22.51/4.28  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 22.51/4.28  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 22.51/4.28  # Preprocessing time       : 1.103 s
% 22.51/4.28  
% 22.51/4.28  # Proof found!
% 22.51/4.28  # SZS status Theorem
% 22.51/4.28  # SZS output start CNFRefutation
% See solution above
% 22.51/4.28  # Training examples: 0 positive, 0 negative
% 22.51/4.28  
% 22.51/4.28  # -------------------------------------------------
% 22.51/4.28  # User time                : 1.745 s
% 22.51/4.28  # System time              : 0.137 s
% 22.51/4.28  # Total time               : 1.882 s
% 22.51/4.28  # ...preprocessing         : 1.103 s
% 22.51/4.28  # ...main loop             : 0.779 s
% 22.51/4.28  # Maximum resident set size: 176524 pages
% 22.51/4.28  
%------------------------------------------------------------------------------