%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG054+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 31.72s 5.58s
% Output : CNFRefutation 31.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 39
% Syntax : Number of clauses : 138 ( 68 unt; 4 nHn; 138 RR)
% Number of literals : 319 ( 56 equ; 185 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 : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 119 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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-u9zpohh6/input.p',i_0_23) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_93) ).
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-u9zpohh6/input.p',i_0_38) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_42) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_19) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_11) ).
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-u9zpohh6/input.p',i_0_31) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_16) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_88) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_85) ).
cnf(i_0_79,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_79) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_14) ).
cnf(i_0_37,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_37) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_21) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_80) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_71) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_86) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_83) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_75) ).
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-u9zpohh6/input.p',i_0_30) ).
cnf(i_0_89,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_89) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_34) ).
cnf(i_0_56,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_56) ).
cnf(i_0_76,hypothesis,
sdtasasdt0(xq,xq) = xD,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_76) ).
cnf(i_0_69,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_69) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_18) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_77) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_81) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_87) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_91) ).
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-u9zpohh6/input.p',i_0_35) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_20) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_15) ).
cnf(i_0_92,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_92) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_13) ).
cnf(i_0_95,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_95) ).
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-u9zpohh6/input.p',i_0_36) ).
cnf(i_0_39,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u9zpohh6/input.p',i_0_39) ).
cnf(c_0_135,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_136,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_137,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_138,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_140,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_141,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_142,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_143,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_144,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_88 ).
cnf(c_0_145,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_146,hypothesis,
aScalar0(xE),
i_0_79 ).
cnf(c_0_147,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_148,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X4)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_149,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).
cnf(c_0_150,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_151,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_152,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_138]) ).
cnf(c_0_153,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_80 ).
cnf(c_0_154,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_155,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_156,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_157,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_158,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_159,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_142]) ).
cnf(c_0_160,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_142,c_0_144]),c_0_145]),c_0_146])]) ).
cnf(c_0_161,hypothesis,
aScalar0(xP),
i_0_89 ).
cnf(c_0_162,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_142]) ).
cnf(c_0_163,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_148,c_0_140]),c_0_149]),c_0_141])]) ).
cnf(c_0_164,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_165,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
i_0_56 ).
cnf(c_0_166,hypothesis,
sdtasasdt0(xq,xq) = xD,
i_0_76 ).
cnf(c_0_167,hypothesis,
aVector0(xq),
i_0_69 ).
cnf(c_0_168,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_150,c_0_151]),c_0_141])]) ).
cnf(c_0_169,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_170,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_171,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_172,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_173,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(sdtasdt0(X2,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_152]) ).
cnf(c_0_174,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_153]),c_0_154])]) ).
cnf(c_0_175,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_142,c_0_155]),c_0_156]),c_0_157])]) ).
cnf(c_0_176,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_177,plain,
( sdtasdt0(X1,smndt0(X2)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_152]) ).
cnf(c_0_178,plain,
smndt0(smndt0(xP)) = xP,
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_159,c_0_160]),c_0_144]),c_0_144]),c_0_161]),c_0_145]),c_0_146])]) ).
cnf(c_0_179,plain,
aScalar0(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_162,c_0_160]),c_0_144]),c_0_161]),c_0_145]),c_0_146])]) ).
cnf(c_0_180,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_181,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).
cnf(c_0_182,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_183,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_142,c_0_170]),c_0_171]),c_0_172])]) ).
cnf(c_0_184,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_185,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_158,c_0_170]),c_0_171]),c_0_172])]) ).
cnf(c_0_186,plain,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_153]),c_0_172]),c_0_154])]) ).
cnf(c_0_187,plain,
smndt0(smndt0(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_159,c_0_175]),c_0_155]),c_0_155]),c_0_176]),c_0_156]),c_0_157])]) ).
cnf(c_0_188,plain,
aScalar0(smndt0(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_162,c_0_175]),c_0_155]),c_0_176]),c_0_156]),c_0_157])]) ).
cnf(c_0_189,plain,
( sdtasdt0(X1,xP) = sdtasdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]) ).
cnf(c_0_190,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_191,hypothesis,
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_180,c_0_170]),c_0_181]),c_0_171]),c_0_172])]) ).
cnf(c_0_192,plain,
( sdtlseqdt0(smndt0(X1),sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_164]) ).
cnf(c_0_193,plain,
smndt0(smndt0(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_159,c_0_183]),c_0_170]),c_0_170]),c_0_184]),c_0_171]),c_0_172])]) ).
cnf(c_0_194,plain,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_185]),c_0_181]),c_0_171]),c_0_186])]) ).
cnf(c_0_195,plain,
aScalar0(smndt0(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_162,c_0_183]),c_0_170]),c_0_184]),c_0_171]),c_0_172])]) ).
cnf(c_0_196,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_20 ).
cnf(c_0_197,plain,
( sdtasdt0(X1,xR) = sdtasdt0(xR,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_187]),c_0_188])]) ).
cnf(c_0_198,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_199,plain,
( smndt0(sdtasdt0(X1,xP)) = sdtasdt0(X1,smndt0(xP))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_189]),c_0_161])]) ).
cnf(c_0_200,plain,
( xS = sz0z00
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_141]),c_0_184])]) ).
cnf(c_0_201,plain,
sdtlseqdt0(xS,sz0z00),
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_194]),c_0_184]),c_0_195])]) ).
cnf(c_0_202,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_176]),c_0_141])]) ).
cnf(c_0_203,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_198,c_0_136]) ).
cnf(c_0_204,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_138]) ).
cnf(c_0_205,plain,
smndt0(sdtasdt0(xP,xP)) = sdtasdt0(xP,smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_189]),c_0_161])]) ).
cnf(c_0_206,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_92 ).
cnf(c_0_207,plain,
xS = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).
cnf(c_0_208,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
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_152,c_0_202]),c_0_203]),c_0_203]),c_0_141]),c_0_176])]) ).
cnf(c_0_209,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_210,plain,
sdtasdt0(smndt0(xP),xP) = sdtasdt0(xP,smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_161])]) ).
cnf(c_0_211,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
i_0_95 ).
cnf(c_0_212,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_213,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_150,c_0_151]),c_0_141])]) ).
cnf(c_0_214,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_143]) ).
cnf(c_0_215,plain,
aScalar0(sdtasdt0(xP,smndt0(xP))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_161]),c_0_179])]) ).
cnf(c_0_216,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00),
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,plain,
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(X2),X1)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_213,c_0_169]) ).
cnf(c_0_218,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_219,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xP,smndt0(xP)))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_205]),c_0_215])]),c_0_216]) ).
cnf(c_0_220,plain,
( sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_36 ).
cnf(c_0_221,plain,
( sdtlseqdt0(sz0z00,smndt0(X1))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_164]) ).
cnf(c_0_222,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
i_0_39 ).
cnf(c_0_223,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X3,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_196]),c_0_149]),c_0_141])]) ).
cnf(c_0_224,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(xP))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_180]),c_0_179]),c_0_161])]) ).
cnf(c_0_225,plain,
( sdtlseqdt0(X1,smndt0(X2))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_141])]) ).
cnf(c_0_226,hypothesis,
( sdtlseqdt0(xP,X1)
| sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_161]) ).
cnf(c_0_227,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_223,c_0_164]) ).
cnf(c_0_228,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(sdtasdt0(xP,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_224,c_0_225]),c_0_149]),c_0_179]),c_0_141]),c_0_161])]) ).
cnf(c_0_229,plain,
( sdtlseqdt0(xP,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(spm,[status(thm)],[c_0_226,c_0_141]) ).
cnf(c_0_230,plain,
( ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_227]),c_0_161]),c_0_179])]) ).
cnf(c_0_231,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_232,plain,
~ aScalar0(sdtasdt0(xP,xP)),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_233,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_209]),c_0_161])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG054+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 19:31:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 31.72/5.58 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l16000-e0.15+coop-eprover73:
% 31.72/5.58 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l16000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 31.72/5.58 # Preprocessing time : 2.155 s
% 31.72/5.58 # Presaturation interreduction done
% 31.72/5.58
% 31.72/5.58 # Proof found!
% 31.72/5.58 # SZS status Theorem
% 31.72/5.58 # SZS output start CNFRefutation
% See solution above
% 31.72/5.59 # Training examples: 0 positive, 0 negative
% 31.72/5.59
% 31.72/5.59 # -------------------------------------------------
% 31.72/5.59 # User time : 2.818 s
% 31.72/5.59 # System time : 0.249 s
% 31.72/5.59 # Total time : 3.067 s
% 31.72/5.59 # ...preprocessing : 2.155 s
% 31.72/5.59 # ...main loop : 0.911 s
% 31.72/5.59 # Maximum resident set size: 309108 pages
% 31.72/5.59
%------------------------------------------------------------------------------