TSTP Solution File: RNG075+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG075+2 : 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 20:24:54 EDT 2022
% Result : Theorem 252.56s 33.54s
% Output : CNFRefutation 252.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 63
% Syntax : Number of clauses : 291 ( 162 unt; 17 nHn; 291 RR)
% Number of literals : 571 ( 216 equ; 273 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-2 aty)
% Number of variables : 188 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_7) ).
cnf(i_0_5,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_5) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_4) ).
cnf(i_0_3,plain,
( szszuzczcdt0(X1) != sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_3) ).
cnf(i_0_68,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_68) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_45) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_60) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_58) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_61) ).
cnf(i_0_6,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_6) ).
cnf(i_0_69,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_69) ).
cnf(i_0_64,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_64) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_15) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_93) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_16) ).
cnf(i_0_31,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_31) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_13) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_82) ).
cnf(i_0_73,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_73) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_14) ).
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-ua64z5fj/input.p',i_0_23) ).
cnf(i_0_53,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_53) ).
cnf(i_0_65,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_65) ).
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-ua64z5fj/input.p',i_0_30) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_20) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_11) ).
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-ua64z5fj/input.p',i_0_24) ).
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-ua64z5fj/input.p',i_0_26) ).
cnf(i_0_17,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_17) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_18) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_83) ).
cnf(i_0_32,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_32) ).
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-ua64z5fj/input.p',i_0_27) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_22) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_84) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_71) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_19) ).
cnf(i_0_39,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_39) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_80) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_42) ).
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-ua64z5fj/input.p',i_0_37) ).
cnf(i_0_43,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_43) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_21) ).
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-ua64z5fj/input.p',i_0_38) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_81) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_85) ).
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-ua64z5fj/input.p',i_0_28) ).
cnf(i_0_35,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_35) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_34) ).
cnf(i_0_70,hypothesis,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_70) ).
cnf(i_0_55,plain,
( aDimensionOf0(X1) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_55) ).
cnf(i_0_62,hypothesis,
sziznziztdt0(xs) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_62) ).
cnf(i_0_72,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_72) ).
cnf(i_0_66,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_66) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_57) ).
cnf(i_0_74,hypothesis,
sdtasasdt0(xp,xp) = xC,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_74) ).
cnf(i_0_76,hypothesis,
sdtasasdt0(xq,xq) = xD,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_76) ).
cnf(i_0_78,hypothesis,
sdtasasdt0(xp,xq) = xE,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_78) ).
cnf(i_0_96,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_96) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_77) ).
cnf(i_0_79,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_79) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_75) ).
cnf(i_0_94,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ua64z5fj/input.p',i_0_94) ).
cnf(c_0_160,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_161,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_162,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_163,plain,
( szszuzczcdt0(X1) != sz00
| ~ aNaturalNumber0(X1) ),
i_0_3 ).
cnf(c_0_164,plain,
( esk1_1(szszuzczcdt0(X1)) = X1
| ~ aNaturalNumber0(esk1_1(szszuzczcdt0(X1)))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161])]),c_0_162]),c_0_163]) ).
cnf(c_0_165,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
i_0_68 ).
cnf(c_0_166,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_167,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_168,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_169,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_170,hypothesis,
( esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq)
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xt)))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_172,hypothesis,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).
cnf(c_0_173,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_169,c_0_167]) ).
cnf(c_0_174,plain,
( esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172])]),c_0_173]) ).
cnf(c_0_175,hypothesis,
aVector0(xq),
i_0_69 ).
cnf(c_0_176,plain,
esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_166]),c_0_175])]) ).
cnf(c_0_177,hypothesis,
( X1 = aDimensionOf0(xq)
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_165]) ).
cnf(c_0_178,plain,
aNaturalNumber0(aDimensionOf0(xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_176]),c_0_172])]),c_0_173]) ).
cnf(c_0_179,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
i_0_64 ).
cnf(c_0_180,hypothesis,
( X1 = aDimensionOf0(xq)
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_181,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xt),
inference(rw,[status(thm)],[c_0_179,c_0_167]) ).
cnf(c_0_182,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_183,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_184,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_185,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_186,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_187,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_82 ).
cnf(c_0_188,hypothesis,
aScalar0(xB),
i_0_73 ).
cnf(c_0_189,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_190,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_191,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
i_0_53 ).
cnf(c_0_192,hypothesis,
( aDimensionOf0(xq) = aDimensionOf0(xp)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_193,hypothesis,
aVector0(xp),
i_0_65 ).
cnf(c_0_194,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_195,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_20 ).
cnf(c_0_196,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_197,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_198,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_199,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_187]),c_0_188])]) ).
cnf(c_0_200,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_185]),c_0_186]) ).
cnf(c_0_201,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| ~ aVector0(X4)
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_202,plain,
aDimensionOf0(xq) = aDimensionOf0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_166]),c_0_193])]) ).
cnf(c_0_203,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_204,plain,
( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196])]),c_0_197]) ).
cnf(c_0_205,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_187]),c_0_188])]) ).
cnf(c_0_206,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_199]),c_0_188])]) ).
cnf(c_0_207,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_208,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_17 ).
cnf(c_0_209,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_210,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| aDimensionOf0(X3) != aDimensionOf0(xp)
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_175])]) ).
cnf(c_0_211,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_187]),c_0_188])]) ).
cnf(c_0_212,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206])]) ).
cnf(c_0_213,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_189]) ).
cnf(c_0_214,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_205]),c_0_206])]) ).
cnf(c_0_215,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_216,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_32 ).
cnf(c_0_217,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_218,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_210]),c_0_193])]) ).
cnf(c_0_219,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_195]),c_0_212]),c_0_196]),c_0_188])]) ).
cnf(c_0_220,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_221,plain,
sdtpldt0(xG,sz0z00) = sdtpldt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_205]),c_0_215]),c_0_206])]) ).
cnf(c_0_222,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_205]),c_0_206])]) ).
cnf(c_0_223,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_84 ).
cnf(c_0_224,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_225,plain,
( sdtasdt0(smndt0(X1),xG) = sdtasdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_205]),c_0_206])]) ).
cnf(c_0_226,hypothesis,
( sdtpldt0(sdtasdt0(X1,xB),xG) = sdtasdt0(sdtpldt0(X1,xB),xB)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_187]),c_0_188])]) ).
cnf(c_0_227,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_196]),c_0_188])]) ).
cnf(c_0_228,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_215])]) ).
cnf(c_0_229,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_230,plain,
sdtpldt0(smndt0(xG),sz0z00) = sdtpldt0(sz0z00,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_222]),c_0_206]),c_0_215])]) ).
cnf(c_0_231,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
i_0_39 ).
cnf(c_0_232,hypothesis,
sdtasdt0(xA,smndt0(xB)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_223]),c_0_188]),c_0_224])]) ).
cnf(c_0_233,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_80 ).
cnf(c_0_234,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_235,hypothesis,
sdtasdt0(smndt0(xG),smndt0(xG)) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_205]),c_0_206])]) ).
cnf(c_0_236,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_203]),c_0_186]) ).
cnf(c_0_237,plain,
sdtasdt0(sdtpldt0(sz0z00,xB),xB) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_196])]) ).
cnf(c_0_238,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_185,c_0_229]),c_0_196])]),c_0_197]) ).
cnf(c_0_239,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_240,plain,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_230]),c_0_206])]) ).
cnf(c_0_241,plain,
( sdtlseqdt0(smndt0(xG),X1)
| sdtlseqdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_206]) ).
cnf(c_0_242,hypothesis,
smndt0(smndt0(xH)) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_232]),c_0_223]),c_0_188]),c_0_224])]) ).
cnf(c_0_243,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_232]),c_0_188]),c_0_224])]) ).
cnf(c_0_244,plain,
( sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2)) = sz0z00
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_185]),c_0_186]) ).
cnf(c_0_245,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_233]),c_0_224])]) ).
cnf(c_0_246,hypothesis,
( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_223]),c_0_188]),c_0_224])]) ).
cnf(c_0_247,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_43 ).
cnf(c_0_248,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_187]),c_0_188])]) ).
cnf(c_0_249,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_203]),c_0_186]) ).
cnf(c_0_250,plain,
smndt0(sdtasdt0(xG,xG)) = sdtasdt0(smndt0(xG),xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_235]),c_0_205]),c_0_206])]) ).
cnf(c_0_251,plain,
( aScalar0(sdtasdt0(X1,xG))
| ~ aScalar0(sdtpldt0(sz0z00,xB))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_188])]) ).
cnf(c_0_252,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_253,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_254,plain,
sdtasdt0(smndt0(xG),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_212]),c_0_197]),c_0_196]),c_0_215])]) ).
cnf(c_0_255,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_229]),c_0_196])]) ).
cnf(c_0_256,hypothesis,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_205]),c_0_206])]) ).
cnf(c_0_257,hypothesis,
( sdtlseqdt0(xG,X1)
| sdtlseqdt0(X1,xG)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_215]) ).
cnf(c_0_258,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ sdtlseqdt0(X2,xG)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_214]),c_0_215]),c_0_206])]) ).
cnf(c_0_259,plain,
sdtpldt0(smndt0(xG),sz0z00) = smndt0(xG),
inference(rw,[status(thm)],[c_0_230,c_0_240]) ).
cnf(c_0_260,hypothesis,
sdtlseqdt0(smndt0(xG),smndt0(xG)),
inference(spm,[status(thm)],[c_0_241,c_0_206]) ).
cnf(c_0_261,hypothesis,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_242]),c_0_243])]) ).
cnf(c_0_262,hypothesis,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_233]),c_0_245]),c_0_224])]) ).
cnf(c_0_263,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_245]),c_0_233]),c_0_224])]) ).
cnf(c_0_264,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_265,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_245]),c_0_224])]) ).
cnf(c_0_266,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_185]),c_0_186]) ).
cnf(c_0_267,hypothesis,
sdtasdt0(xH,xB) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_187]),c_0_188])]) ).
cnf(c_0_268,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_269,plain,
( X1 = xG
| sdtasdt0(X1,X1) != sdtasdt0(xG,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_215])]) ).
cnf(c_0_270,plain,
sdtlseqdt0(sz0z00,sdtasdt0(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_249,c_0_211]),c_0_187]),c_0_188]),c_0_187]),c_0_215])]) ).
cnf(c_0_271,plain,
sdtasdt0(smndt0(xG),xG) = sdtasdt0(xG,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_235]),c_0_205]),c_0_206])]),c_0_250]) ).
cnf(c_0_272,plain,
( aScalar0(sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_188])]) ).
cnf(c_0_273,plain,
( sdtasdt0(smndt0(xG),X1) = sdtasdt0(xG,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_205]),c_0_206])]) ).
cnf(c_0_274,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(smndt0(xG),X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_196]),c_0_206])]) ).
cnf(c_0_275,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_256]),c_0_215]),c_0_196])]) ).
cnf(c_0_276,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_257,c_0_215]) ).
cnf(c_0_277,plain,
sdtlseqdt0(smndt0(xG),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_258,c_0_259]),c_0_260]),c_0_248]),c_0_196]),c_0_206])]) ).
cnf(c_0_278,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_28 ).
cnf(c_0_279,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_195]),c_0_261]),c_0_196]),c_0_188])]) ).
cnf(c_0_280,hypothesis,
sdtpldt0(xF,sz0z00) = sdtpldt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_262]),c_0_263]),c_0_264]),c_0_265])]) ).
cnf(c_0_281,hypothesis,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_232]),c_0_223]),c_0_188]),c_0_224])]) ).
cnf(c_0_282,plain,
sdtasdt0(xB,xH) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_267]),c_0_188]),c_0_268])]) ).
cnf(c_0_283,plain,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)) != sdtasdt0(xG,xG)
| ~ aScalar0(sdtasdt0(xG,xG)) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_284,plain,
smndt0(sdtasdt0(xG,smndt0(xG))) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_271]),c_0_235]),c_0_215]),c_0_206])]) ).
cnf(c_0_285,plain,
aScalar0(sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_206]),c_0_215])]) ).
cnf(c_0_286,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_287,plain,
sdtlseqdt0(sz0z00,sdtasdt0(xG,smndt0(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_274,c_0_271]),c_0_260]),c_0_248]),c_0_215]),c_0_206])]) ).
cnf(c_0_288,plain,
sdtlseqdt0(sdtasdt0(xG,smndt0(xG)),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_275,c_0_271]),c_0_248]),c_0_276]),c_0_277]),c_0_215]),c_0_206])]) ).
cnf(c_0_289,plain,
( sdtpldt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz0z00,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_195]),c_0_196])]) ).
cnf(c_0_290,plain,
( sdtasdt0(smndt0(X1),xF) = sdtasdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_263]),c_0_265])]) ).
cnf(c_0_291,hypothesis,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_245]),c_0_233]),c_0_224])]) ).
cnf(c_0_292,hypothesis,
( sdtpldt0(sdtasdt0(X1,xA),xF) = sdtasdt0(sdtpldt0(X1,xA),xA)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_233]),c_0_224])]) ).
cnf(c_0_293,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_279]),c_0_196]),c_0_224])]) ).
cnf(c_0_294,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_280]),c_0_264])]) ).
cnf(c_0_295,hypothesis,
sdtpldt0(smndt0(xH),sz0z00) = sdtpldt0(sz0z00,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_281]),c_0_243]),c_0_268])]) ).
cnf(c_0_296,plain,
( sdtlseqdt0(smndt0(xH),X1)
| sdtlseqdt0(X1,smndt0(xH))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_243]) ).
cnf(c_0_297,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_233]),c_0_224])]) ).
cnf(c_0_298,hypothesis,
sdtasdt0(xA,sdtasdt0(xA,xG)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_282]),c_0_268])]) ).
cnf(c_0_299,plain,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(xG,sdtasdt0(xG,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG)
| ~ aScalar0(sdtasdt0(xG,xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_203]),c_0_215])]) ).
cnf(c_0_300,plain,
aScalar0(sdtasdt0(xG,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_235]),c_0_206])]) ).
cnf(c_0_301,plain,
sdtpldt0(sdtasdt0(xG,smndt0(xG)),sdtasdt0(xG,xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_284]),c_0_285])]) ).
cnf(c_0_302,plain,
sdtasdt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]),c_0_196]),c_0_285])]) ).
cnf(c_0_303,plain,
sdtpldt0(sz0z00,sdtasdt0(xG,xG)) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_235]),c_0_240]),c_0_235]),c_0_206])]) ).
cnf(c_0_304,hypothesis,
sdtasdt0(smndt0(xF),smndt0(xF)) = sdtasdt0(xF,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_263]),c_0_265])]) ).
cnf(c_0_305,hypothesis,
sdtpldt0(smndt0(xF),sz0z00) = sdtpldt0(sz0z00,smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_291]),c_0_265]),c_0_264])]) ).
cnf(c_0_306,plain,
( sdtlseqdt0(smndt0(xF),X1)
| sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_265]) ).
cnf(c_0_307,plain,
sdtasdt0(sdtpldt0(sz0z00,xA),xA) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]),c_0_196])]) ).
cnf(c_0_308,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_309,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_197]),c_0_196])]) ).
cnf(c_0_310,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(smndt0(xH),X2)
| ~ sdtlseqdt0(xH,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_281]),c_0_243]),c_0_268])]) ).
cnf(c_0_311,plain,
sdtpldt0(sz0z00,smndt0(xH)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_295]),c_0_243])]) ).
cnf(c_0_312,hypothesis,
sdtlseqdt0(smndt0(xH),smndt0(xH)),
inference(spm,[status(thm)],[c_0_296,c_0_243]) ).
cnf(c_0_313,plain,
( sdtasdt0(smndt0(X1),xH) = sdtasdt0(X1,smndt0(xH))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_242]),c_0_243])]) ).
cnf(c_0_314,hypothesis,
sdtasdt0(xH,xH) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_215])]) ).
cnf(c_0_315,plain,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(xG,sdtasdt0(xG,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300])]) ).
cnf(c_0_316,plain,
sdtasdt0(xG,xG) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).
cnf(c_0_317,hypothesis,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_263]),c_0_265])]) ).
cnf(c_0_318,plain,
smndt0(sdtasdt0(xF,xF)) = sdtasdt0(smndt0(xF),xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_304]),c_0_263]),c_0_265])]) ).
cnf(c_0_319,hypothesis,
( sdtlseqdt0(xF,X1)
| sdtlseqdt0(X1,xF)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_264]) ).
cnf(c_0_320,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(X2,smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_291]),c_0_265]),c_0_264])]) ).
cnf(c_0_321,plain,
sdtpldt0(sz0z00,smndt0(xF)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_305]),c_0_265])]) ).
cnf(c_0_322,hypothesis,
sdtlseqdt0(smndt0(xF),smndt0(xF)),
inference(spm,[status(thm)],[c_0_306,c_0_265]) ).
cnf(c_0_323,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_233]),c_0_224])]) ).
cnf(c_0_324,plain,
( aScalar0(sdtasdt0(X1,xF))
| ~ aScalar0(sdtpldt0(sz0z00,xA))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_307]),c_0_224])]) ).
cnf(c_0_325,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_263]),c_0_265])]) ).
cnf(c_0_326,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_308]),c_0_196])]),c_0_309]) ).
cnf(c_0_327,plain,
( sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_312]),c_0_243]),c_0_196])]) ).
cnf(c_0_328,hypothesis,
sdtasdt0(smndt0(xH),smndt0(xH)) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_242]),c_0_314]),c_0_243])]) ).
cnf(c_0_329,plain,
xG = 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)],[c_0_315,c_0_316]),c_0_316]),c_0_212]),c_0_212]),c_0_316])]) ).
cnf(c_0_330,hypothesis,
( sdtlseqdt0(xH,X1)
| sdtlseqdt0(X1,xH)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_268]) ).
cnf(c_0_331,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xF)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_317]),c_0_264]),c_0_196])]) ).
cnf(c_0_332,plain,
sdtasdt0(smndt0(xF),xF) = sdtasdt0(xF,smndt0(xF)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_304]),c_0_263]),c_0_265])]),c_0_318]) ).
cnf(c_0_333,hypothesis,
sdtlseqdt0(xF,xF),
inference(spm,[status(thm)],[c_0_319,c_0_264]) ).
cnf(c_0_334,plain,
sdtlseqdt0(smndt0(xF),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_320,c_0_321]),c_0_322]),c_0_323]),c_0_265]),c_0_196])]) ).
cnf(c_0_335,plain,
( aScalar0(sdtasdt0(X1,xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_252]),c_0_224])]) ).
cnf(c_0_336,plain,
( sdtasdt0(smndt0(xF),X1) = sdtasdt0(xF,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_263]),c_0_265])]) ).
cnf(c_0_337,plain,
sdtasdt0(smndt0(xF),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_325]),c_0_197]),c_0_196]),c_0_264])]) ).
cnf(c_0_338,hypothesis,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
i_0_70 ).
cnf(c_0_339,plain,
( smndt0(xH) = sz0z00
| ~ sdtlseqdt0(xH,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_326,c_0_327]),c_0_328]),c_0_329]),c_0_325]),c_0_243])]) ).
cnf(c_0_340,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xH,sz0z00) ),
inference(spm,[status(thm)],[c_0_330,c_0_196]) ).
cnf(c_0_341,plain,
( X1 = xF
| sdtasdt0(X1,X1) != sdtasdt0(xF,xF)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_323]),c_0_264])]) ).
cnf(c_0_342,plain,
sdtlseqdt0(sz0z00,sdtasdt0(xF,xF)),
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_249,c_0_297]),c_0_233]),c_0_224]),c_0_233]),c_0_264])]) ).
cnf(c_0_343,plain,
sdtlseqdt0(sdtasdt0(xF,smndt0(xF)),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_331,c_0_332]),c_0_323]),c_0_333]),c_0_334]),c_0_264]),c_0_265])]) ).
cnf(c_0_344,plain,
aScalar0(sdtasdt0(xF,smndt0(xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_265]),c_0_264])]) ).
cnf(c_0_345,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(smndt0(xF),X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_337]),c_0_255]),c_0_196]),c_0_265])]) ).
cnf(c_0_346,plain,
( aDimensionOf0(X1) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
i_0_55 ).
cnf(c_0_347,hypothesis,
sziznziztdt0(xs) = xp,
i_0_62 ).
cnf(c_0_348,hypothesis,
sdtlbdtrb0(xs,aDimensionOf0(xt)) = xA,
inference(rw,[status(thm)],[c_0_338,c_0_167]) ).
cnf(c_0_349,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
i_0_72 ).
cnf(c_0_350,hypothesis,
sziznziztdt0(xt) = xq,
i_0_66 ).
cnf(c_0_351,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_352,plain,
( smndt0(xH) = sz0z00
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_353,plain,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(sdtasdt0(xF,xF),sdtasdt0(xF,xF)) != sdtasdt0(xF,xF)
| ~ aScalar0(sdtasdt0(xF,xF)) ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_354,plain,
( sdtasdt0(xF,smndt0(xF)) = sz0z00
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xF,smndt0(xF))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_343]),c_0_344]),c_0_196])]) ).
cnf(c_0_355,plain,
sdtlseqdt0(sz0z00,sdtasdt0(xF,smndt0(xF))),
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_345,c_0_332]),c_0_322]),c_0_323]),c_0_264]),c_0_265])]) ).
cnf(c_0_356,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs)
| aDimensionOf0(xt) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_167]),c_0_347]),c_0_348]),c_0_168])]),c_0_173]) ).
cnf(c_0_357,hypothesis,
sdtasasdt0(xp,xp) = xC,
i_0_74 ).
cnf(c_0_358,hypothesis,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xt) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_349]),c_0_350]),c_0_351])]),c_0_173]) ).
cnf(c_0_359,hypothesis,
sdtasasdt0(xq,xq) = xD,
i_0_76 ).
cnf(c_0_360,hypothesis,
sdtasasdt0(xp,xq) = xE,
i_0_78 ).
cnf(c_0_361,plain,
( smndt0(xH) = sz0z00
| xH = 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_326,c_0_352]),c_0_314]),c_0_329]),c_0_325]),c_0_268])]) ).
cnf(c_0_362,plain,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(xF,sdtasdt0(xF,sdtasdt0(xF,xF))) != sdtasdt0(xF,xF)
| ~ aScalar0(sdtasdt0(xF,xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_203]),c_0_264])]) ).
cnf(c_0_363,plain,
aScalar0(sdtasdt0(xF,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_304]),c_0_265])]) ).
cnf(c_0_364,plain,
smndt0(sdtasdt0(xF,smndt0(xF))) = sdtasdt0(xF,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_332]),c_0_304]),c_0_264]),c_0_265])]) ).
cnf(c_0_365,plain,
sdtasdt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_355])]) ).
cnf(c_0_366,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
i_0_96 ).
cnf(c_0_367,hypothesis,
sdtpldt0(xC,xF) = sdtasasdt0(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_356,c_0_167]),c_0_347]),c_0_357]),c_0_348]),c_0_233]),c_0_168])]) ).
cnf(c_0_368,hypothesis,
sdtpldt0(xD,xG) = sdtasasdt0(xt,xt),
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_358,c_0_349]),c_0_350]),c_0_359]),c_0_187]),c_0_351])]) ).
cnf(c_0_369,hypothesis,
sdtpldt0(xE,xH) = sdtasasdt0(xs,xt),
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_358,c_0_167]),c_0_347]),c_0_360]),c_0_348]),c_0_223]),c_0_168])]) ).
cnf(c_0_370,plain,
xH = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_361]),c_0_197]),c_0_268])]) ).
cnf(c_0_371,plain,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(xF,sdtasdt0(xF,sdtasdt0(xF,xF))) != sdtasdt0(xF,xF) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_363])]) ).
cnf(c_0_372,plain,
sdtasdt0(xF,xF) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_365]),c_0_197]) ).
cnf(c_0_373,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))),
inference(rw,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_374,hypothesis,
sdtpldt0(xD,sz0z00) = sdtasasdt0(xt,xt),
inference(rw,[status(thm)],[c_0_368,c_0_329]) ).
cnf(c_0_375,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_376,hypothesis,
sdtpldt0(xE,sz0z00) = sdtasasdt0(xs,xt),
inference(rw,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_377,hypothesis,
aScalar0(xE),
i_0_79 ).
cnf(c_0_378,plain,
xF = 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)],[c_0_371,c_0_372]),c_0_372]),c_0_325]),c_0_325]),c_0_372])]) ).
cnf(c_0_379,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_369]),c_0_369]),c_0_368]) ).
cnf(c_0_380,plain,
sdtasasdt0(xt,xt) = xD,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_374]),c_0_375])]) ).
cnf(c_0_381,plain,
sdtasasdt0(xs,xt) = xE,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_376]),c_0_377])]) ).
cnf(c_0_382,hypothesis,
sdtpldt0(xC,sz0z00) = sdtasasdt0(xs,xs),
inference(rw,[status(thm)],[c_0_367,c_0_378]) ).
cnf(c_0_383,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_384,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(sdtasasdt0(xs,xs),xD)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_380]),c_0_381]),c_0_381]) ).
cnf(c_0_385,plain,
sdtasasdt0(xs,xs) = xC,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_382]),c_0_383])]) ).
cnf(c_0_386,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
i_0_94 ).
cnf(c_0_387,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_385]),c_0_386])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG075+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 : n021.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 11:03:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 252.56/33.54 # ENIGMATIC: Solved by autoschedule:
% 252.56/33.54 # No SInE strategy applied
% 252.56/33.54 # Trying AutoSched0 for 150 seconds
% 252.56/33.54 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 252.56/33.54 # and selection function SelectMaxLComplexAvoidPosPred.
% 252.56/33.54 #
% 252.56/33.54 # Preprocessing time : 0.025 s
% 252.56/33.54
% 252.56/33.54 # Proof found!
% 252.56/33.54 # SZS status Theorem
% 252.56/33.54 # SZS output start CNFRefutation
% See solution above
% 252.56/33.54 # Training examples: 0 positive, 0 negative
% 252.56/33.54
% 252.56/33.54 # -------------------------------------------------
% 252.56/33.54 # User time : 29.702 s
% 252.56/33.54 # System time : 0.961 s
% 252.56/33.54 # Total time : 30.662 s
% 252.56/33.54 # Maximum resident set size: 7116 pages
% 252.56/33.54
%------------------------------------------------------------------------------