TSTP Solution File: RNG066+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG066+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 20:24:52 EDT 2022
% Result : Theorem 32.40s 5.42s
% Output : CNFRefutation 32.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 46
% Syntax : Number of clauses : 165 ( 97 unt; 0 nHn; 165 RR)
% Number of literals : 323 ( 81 equ; 164 neg)
% Maximal clause size : 8 ( 1 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 : 121 ( 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-ixvgayl8/input.p',i_0_23) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_93) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_42) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_19) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_11) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_18) ).
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-ixvgayl8/input.p',i_0_31) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_77) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_81) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_80) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_71) ).
cnf(i_0_56,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_56) ).
cnf(i_0_76,hypothesis,
sdtasasdt0(xq,xq) = xD,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_76) ).
cnf(i_0_69,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_69) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_14) ).
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-ixvgayl8/input.p',i_0_38) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_20) ).
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-ixvgayl8/input.p',i_0_37) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_21) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_91) ).
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-ixvgayl8/input.p',i_0_40) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_34) ).
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-ixvgayl8/input.p',i_0_30) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_16) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_15) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_86) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_83) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_75) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_88) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_85) ).
cnf(i_0_79,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_79) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_82) ).
cnf(i_0_73,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_73) ).
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-ixvgayl8/input.p',i_0_35) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_87) ).
cnf(i_0_89,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_89) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_13) ).
cnf(i_0_74,hypothesis,
sdtasasdt0(xp,xp) = xC,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_74) ).
cnf(i_0_65,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_65) ).
cnf(i_0_27,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_27) ).
cnf(i_0_95,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_95) ).
cnf(i_0_92,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_92) ).
cnf(i_0_97,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_97) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_22) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ixvgayl8/input.p',i_0_12) ).
cnf(c_0_144,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_145,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_146,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_147,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_148,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_149,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_150,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_151,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_152,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_153,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_154,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_155,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_80 ).
cnf(c_0_156,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_157,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
i_0_56 ).
cnf(c_0_158,hypothesis,
sdtasasdt0(xq,xq) = xD,
i_0_76 ).
cnf(c_0_159,hypothesis,
aVector0(xq),
i_0_69 ).
cnf(c_0_160,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_161,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_162,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_20 ).
cnf(c_0_163,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).
cnf(c_0_164,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_165,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_166,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_167,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_150,c_0_151]),c_0_152]),c_0_153])]) ).
cnf(c_0_168,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_169,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_40 ).
cnf(c_0_170,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_154]),c_0_153]),c_0_152])]) ).
cnf(c_0_171,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_155]),c_0_156])]) ).
cnf(c_0_172,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).
cnf(c_0_173,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_150]) ).
cnf(c_0_174,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_161,c_0_162]),c_0_163]),c_0_148])]) ).
cnf(c_0_175,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_176,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_177,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_155]),c_0_156])]) ).
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_164,c_0_165]),c_0_148])]) ).
cnf(c_0_179,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
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_166,c_0_167]),c_0_151]),c_0_151]),c_0_168]),c_0_152]),c_0_153])]) ).
cnf(c_0_180,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_169,c_0_170]),c_0_171]),c_0_172]),c_0_153]),c_0_152])]) ).
cnf(c_0_181,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_173,c_0_167]),c_0_151]),c_0_168]),c_0_152]),c_0_153])]) ).
cnf(c_0_182,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_183,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_184,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_176,c_0_151]),c_0_152]),c_0_153])]) ).
cnf(c_0_185,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_177]),c_0_155]),c_0_153]),c_0_156])]) ).
cnf(c_0_186,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]),c_0_168])]) ).
cnf(c_0_187,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_188,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_189,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_190,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_191,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_88 ).
cnf(c_0_192,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_193,hypothesis,
aScalar0(xE),
i_0_79 ).
cnf(c_0_194,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_82 ).
cnf(c_0_195,hypothesis,
aScalar0(xB),
i_0_73 ).
cnf(c_0_196,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_150]) ).
cnf(c_0_197,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_198,hypothesis,
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_183,c_0_184]),c_0_172]),c_0_152]),c_0_185])]) ).
cnf(c_0_199,plain,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_175]),c_0_181])]) ).
cnf(c_0_200,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_187,c_0_145]) ).
cnf(c_0_201,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_150,c_0_188]),c_0_189]),c_0_190])]) ).
cnf(c_0_202,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_203,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_150,c_0_154]) ).
cnf(c_0_204,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_150,c_0_191]),c_0_192]),c_0_193])]) ).
cnf(c_0_205,hypothesis,
aScalar0(xP),
i_0_89 ).
cnf(c_0_206,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_207,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_176]) ).
cnf(c_0_208,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_154]) ).
cnf(c_0_209,hypothesis,
sdtasasdt0(xp,xp) = xC,
i_0_74 ).
cnf(c_0_210,hypothesis,
aVector0(xp),
i_0_65 ).
cnf(c_0_211,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_194]),c_0_195])]) ).
cnf(c_0_212,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
i_0_27 ).
cnf(c_0_213,hypothesis,
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_196,c_0_167]),c_0_151]),c_0_151]),c_0_168]),c_0_152]),c_0_153])]) ).
cnf(c_0_214,plain,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_148]),c_0_181])]) ).
cnf(c_0_215,plain,
( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_162]),c_0_200]),c_0_148])]) ).
cnf(c_0_216,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_196,c_0_201]),c_0_188]),c_0_188]),c_0_202]),c_0_189]),c_0_190])]) ).
cnf(c_0_217,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_173,c_0_201]),c_0_188]),c_0_202]),c_0_189]),c_0_190])]) ).
cnf(c_0_218,plain,
( sdtasdt0(X1,smndt0(X2)) = sdtasdt0(smndt0(X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_203]) ).
cnf(c_0_219,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_196,c_0_204]),c_0_191]),c_0_191]),c_0_205]),c_0_192]),c_0_193])]) ).
cnf(c_0_220,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_173,c_0_204]),c_0_191]),c_0_205]),c_0_192]),c_0_193])]) ).
cnf(c_0_221,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_222,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_149]) ).
cnf(c_0_223,hypothesis,
sdtasdt0(smndt0(xG),xC) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_188]),c_0_190]),c_0_189])]) ).
cnf(c_0_224,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_209]),c_0_210])]) ).
cnf(c_0_225,plain,
aScalar0(smndt0(xG)),
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_211]),c_0_194]),c_0_189]),c_0_195])]) ).
cnf(c_0_226,plain,
smndt0(smndt0(xG)) = xG,
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_211]),c_0_194]),c_0_194]),c_0_189]),c_0_195])]) ).
cnf(c_0_227,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X1)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_154]) ).
cnf(c_0_228,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
i_0_95 ).
cnf(c_0_229,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_92 ).
cnf(c_0_230,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_200]) ).
cnf(c_0_231,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217])]) ).
cnf(c_0_232,plain,
( sdtasdt0(X1,xP) = sdtasdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).
cnf(c_0_233,plain,
( aScalar0(sdtasdt0(X1,xP))
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_219]),c_0_220])]) ).
cnf(c_0_234,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
i_0_97 ).
cnf(c_0_235,plain,
( sdtlseqdt0(smndt0(X1),sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_175]) ).
cnf(c_0_236,plain,
sdtlseqdt0(sz0z00,smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_223]),c_0_224]),c_0_190]),c_0_225])]) ).
cnf(c_0_237,hypothesis,
sdtasdt0(xG,xC) = 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_208,c_0_201]),c_0_216]),c_0_226]),c_0_190]),c_0_225])]) ).
cnf(c_0_238,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_194]),c_0_195])]) ).
cnf(c_0_239,hypothesis,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_227,c_0_154]) ).
cnf(c_0_240,hypothesis,
( sdtasdt0(xP,xP) = xN
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_228]),c_0_145])]) ).
cnf(c_0_241,hypothesis,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_242,plain,
sdtlseqdt0(sz0z00,sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_232]),c_0_205])]) ).
cnf(c_0_243,plain,
aScalar0(sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_220]),c_0_205])]) ).
cnf(c_0_244,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,sz0z00),sdtpldt0(xR,sz0z00))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_230]),c_0_230]) ).
cnf(c_0_245,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_246,plain,
sdtlseqdt0(xR,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_216]),c_0_236]),c_0_202]),c_0_217])]) ).
cnf(c_0_247,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_169,c_0_237]),c_0_224]),c_0_238]),c_0_190]),c_0_189])]) ).
cnf(c_0_248,plain,
( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_147]),c_0_200]),c_0_148])]) ).
cnf(c_0_249,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(X1,X3),X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_154]) ).
cnf(c_0_250,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(xP,X1)) = sdtasdt0(sdtpldt0(X2,xP),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_232]),c_0_205])]) ).
cnf(c_0_251,hypothesis,
sdtasdt0(xP,xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241]),c_0_241]),c_0_242]),c_0_243])]) ).
cnf(c_0_252,hypothesis,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_200]),c_0_148])]) ).
cnf(c_0_253,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_202])]) ).
cnf(c_0_254,plain,
xR = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_246]),c_0_247]),c_0_202]),c_0_148])]) ).
cnf(c_0_255,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_200]),c_0_148])]) ).
cnf(c_0_256,plain,
( sdtpldt0(sdtasdt0(X1,xP),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(xP,X2),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_232]),c_0_205])]) ).
cnf(c_0_257,plain,
sdtasdt0(sdtpldt0(xP,xP),xP) = sz0z00,
inference(cn,[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_251]),c_0_252]),c_0_205])]) ).
cnf(c_0_258,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sz0z00),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254]),c_0_254]),c_0_255]) ).
cnf(c_0_259,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sz0z00
| ~ aScalar0(sdtpldt0(xP,xP)) ),
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_257]),c_0_257]),c_0_252]),c_0_205])]) ).
cnf(c_0_260,plain,
~ aScalar0(sdtpldt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_163])]) ).
cnf(c_0_261,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_262,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_205])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG066+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n022.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 13:14:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 32.40/5.42 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 32.40/5.42 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 32.40/5.42 # Preprocessing time : 1.231 s
% 32.40/5.42 # Presaturation interreduction done
% 32.40/5.42
% 32.40/5.42 # Proof found!
% 32.40/5.42 # SZS status Theorem
% 32.40/5.42 # SZS output start CNFRefutation
% See solution above
% 32.40/5.42 # Training examples: 0 positive, 0 negative
% 32.40/5.42
% 32.40/5.42 # -------------------------------------------------
% 32.40/5.42 # User time : 2.846 s
% 32.40/5.42 # System time : 0.184 s
% 32.40/5.42 # Total time : 3.030 s
% 32.40/5.42 # ...preprocessing : 1.231 s
% 32.40/5.42 # ...main loop : 1.799 s
% 32.40/5.42 # Maximum resident set size: 186952 pages
% 32.40/5.42
%------------------------------------------------------------------------------