TSTP Solution File: RNG068+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG068+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 20:24:53 EDT 2022
% Result : Theorem 37.57s 6.14s
% Output : CNFRefutation 37.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 57
% Syntax : Number of clauses : 214 ( 133 unt; 5 nHn; 214 RR)
% Number of literals : 394 ( 129 equ; 182 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-2 aty)
% Number of variables : 141 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
( aDimensionOf0(X1) = sz00
| aDimensionOf0(sziznziztdt0(X2)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_52) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_60) ).
cnf(i_0_66,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_66) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_57) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_61) ).
cnf(i_0_62,hypothesis,
sziznziztdt0(xs) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_62) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_58) ).
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_23) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_46) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_45) ).
cnf(i_0_65,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_65) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_15) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_11) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_16) ).
cnf(i_0_31,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_31) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_13) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_86) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_83) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_75) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_14) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_19) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_82) ).
cnf(i_0_73,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_73) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_24) ).
cnf(i_0_30,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_30) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_87) ).
cnf(i_0_26,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_26) ).
cnf(i_0_17,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_17) ).
cnf(i_0_38,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_38) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_42) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_18) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_22) ).
cnf(i_0_39,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_39) ).
cnf(i_0_56,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_56) ).
cnf(i_0_74,hypothesis,
sdtasasdt0(xp,xp) = xC,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_74) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_88) ).
cnf(i_0_79,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_79) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_85) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_84) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_71) ).
cnf(i_0_92,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_92) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_91) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_34) ).
cnf(i_0_37,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_37) ).
cnf(i_0_40,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_40) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_77) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_81) ).
cnf(i_0_35,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_35) ).
cnf(i_0_89,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_89) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_21) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_93) ).
cnf(i_0_99,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_99) ).
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/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_28) ).
cnf(i_0_25,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_25) ).
cnf(i_0_95,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_95) ).
cnf(i_0_96,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fh9neyrf/lgb.p',i_0_96) ).
cnf(c_0_157,plain,
( aDimensionOf0(X1) = sz00
| aDimensionOf0(sziznziztdt0(X2)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
i_0_52 ).
cnf(c_0_158,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_159,hypothesis,
sziznziztdt0(xt) = xq,
i_0_66 ).
cnf(c_0_160,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_161,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_162,hypothesis,
( aDimensionOf0(sziznziztdt0(X1)) = aDimensionOf0(xq)
| aDimensionOf0(xs) != 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_157,c_0_158]),c_0_159]),c_0_160])]),c_0_161]) ).
cnf(c_0_163,hypothesis,
sziznziztdt0(xs) = xp,
i_0_62 ).
cnf(c_0_164,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_165,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_166,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_167,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_168,hypothesis,
aDimensionOf0(xp) = aDimensionOf0(xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164])]) ).
cnf(c_0_169,hypothesis,
aVector0(xp),
i_0_65 ).
cnf(c_0_170,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,plain,
aNaturalNumber0(aDimensionOf0(xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169])]) ).
cnf(c_0_172,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_173,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_174,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_175,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_176,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_177,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_178,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_179,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_180,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_181,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_182,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_183,plain,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_184,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_185,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_175,c_0_177]),c_0_178]),c_0_179])]) ).
cnf(c_0_186,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_175]),c_0_176]) ).
cnf(c_0_187,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_169]) ).
cnf(c_0_188,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_175,c_0_182]),c_0_173])]),c_0_183]) ).
cnf(c_0_189,hypothesis,
smndt0(smndt0(xR)) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_177]),c_0_178]),c_0_179])]) ).
cnf(c_0_190,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_185]),c_0_178]),c_0_179])]) ).
cnf(c_0_191,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_82 ).
cnf(c_0_192,hypothesis,
aScalar0(xB),
i_0_73 ).
cnf(c_0_193,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_194,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_195,hypothesis,
sdtasdt0(xG,xC) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_187]),c_0_179]),c_0_178])]) ).
cnf(c_0_196,hypothesis,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]) ).
cnf(c_0_197,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_198,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_191]),c_0_192])]) ).
cnf(c_0_199,plain,
( sdtasdt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_182]),c_0_173])]) ).
cnf(c_0_200,plain,
sdtasdt0(smndt0(xG),xC) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_179]),c_0_178])]) ).
cnf(c_0_201,plain,
sdtasdt0(sz0z00,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_196]),c_0_183]),c_0_197]),c_0_173])]) ).
cnf(c_0_202,plain,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_198]),c_0_192])]) ).
cnf(c_0_203,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_204,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_17 ).
cnf(c_0_205,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_179]),c_0_202])]) ).
cnf(c_0_206,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_180]) ).
cnf(c_0_207,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_189]),c_0_190])]) ).
cnf(c_0_208,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_209,hypothesis,
sdtasdt0(smndt0(xC),xG) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_177]),c_0_178]),c_0_179])]) ).
cnf(c_0_210,hypothesis,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_205]),c_0_179]),c_0_173])]) ).
cnf(c_0_211,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_212,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_213,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_214,plain,
sdtpldt0(smndt0(xR),sz0z00) = sdtpldt0(sz0z00,smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_190]),c_0_197])]) ).
cnf(c_0_215,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
i_0_39 ).
cnf(c_0_216,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
i_0_56 ).
cnf(c_0_217,hypothesis,
sdtasasdt0(xp,xp) = xC,
i_0_74 ).
cnf(c_0_218,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_88 ).
cnf(c_0_219,hypothesis,
aScalar0(xE),
i_0_79 ).
cnf(c_0_220,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_221,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_84 ).
cnf(c_0_222,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_223,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_92 ).
cnf(c_0_224,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_225,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xR))
| ~ aScalar0(smndt0(xC))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xC))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_178])]) ).
cnf(c_0_226,plain,
sdtasdt0(smndt0(xC),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_210]),c_0_183]),c_0_173]),c_0_179])]) ).
cnf(c_0_227,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_182]),c_0_173])]) ).
cnf(c_0_228,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_191]),c_0_192])]) ).
cnf(c_0_229,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_230,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_231,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_189]),c_0_190])]) ).
cnf(c_0_232,plain,
sdtpldt0(sz0z00,smndt0(xR)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_190])]) ).
cnf(c_0_233,plain,
( sdtlseqdt0(smndt0(xR),X1)
| sdtlseqdt0(X1,smndt0(xR))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_190]) ).
cnf(c_0_234,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_40 ).
cnf(c_0_235,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_169])]) ).
cnf(c_0_236,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_237,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_238,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_239,hypothesis,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_187]),c_0_219]),c_0_220])]) ).
cnf(c_0_240,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_175,c_0_221]),c_0_192]),c_0_222])]) ).
cnf(c_0_241,hypothesis,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_223]),c_0_224]),c_0_197])]) ).
cnf(c_0_242,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_223]),c_0_224]),c_0_197])]) ).
cnf(c_0_243,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_244,plain,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_173]),c_0_227]),c_0_228])]),c_0_229]) ).
cnf(c_0_245,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(X2,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_197]),c_0_190])]) ).
cnf(c_0_246,plain,
sdtpldt0(smndt0(xR),sz0z00) = smndt0(xR),
inference(rw,[status(thm)],[c_0_214,c_0_232]) ).
cnf(c_0_247,hypothesis,
sdtlseqdt0(smndt0(xR),smndt0(xR)),
inference(spm,[status(thm)],[c_0_233,c_0_190]) ).
cnf(c_0_248,hypothesis,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_177]),c_0_178]),c_0_179])]),c_0_228]),c_0_235])]) ).
cnf(c_0_249,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_175,c_0_236]),c_0_237]),c_0_238])]) ).
cnf(c_0_250,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_193]),c_0_176]) ).
cnf(c_0_251,plain,
sdtasdt0(smndt0(xH),xE) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_239]),c_0_219]),c_0_220])]) ).
cnf(c_0_252,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_240]),c_0_192]),c_0_222])]) ).
cnf(c_0_253,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_175,c_0_218]),c_0_220]),c_0_219])]) ).
cnf(c_0_254,hypothesis,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_187]),c_0_190]),c_0_224])]) ).
cnf(c_0_255,hypothesis,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_242]),c_0_223]),c_0_224]),c_0_197])]) ).
cnf(c_0_256,plain,
( smndt0(xR) = sz0z00
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(smndt0(xR),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_173]),c_0_190])]) ).
cnf(c_0_257,plain,
sdtlseqdt0(smndt0(xR),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_245,c_0_246]),c_0_173]),c_0_190]),c_0_247]),c_0_248])]) ).
cnf(c_0_258,hypothesis,
smndt0(smndt0(xS)) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_249]),c_0_236]),c_0_237]),c_0_238])]) ).
cnf(c_0_259,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_249]),c_0_237]),c_0_238])]) ).
cnf(c_0_260,plain,
( aScalar0(sdtasdt0(X1,smndt0(xP)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_219]),c_0_252])]) ).
cnf(c_0_261,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_253]),c_0_220]),c_0_219])]) ).
cnf(c_0_262,plain,
sdtasdt0(smndt0(xS),smndt0(xR)) = xN,
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_254]),c_0_255]),c_0_190]),c_0_224])]) ).
cnf(c_0_263,plain,
( smndt0(xR) = sz0z00
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257])]) ).
cnf(c_0_264,hypothesis,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_258]),c_0_259])]) ).
cnf(c_0_265,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_193]),c_0_176]) ).
cnf(c_0_266,hypothesis,
( sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_218]),c_0_220]),c_0_219])]) ).
cnf(c_0_267,hypothesis,
aScalar0(xP),
i_0_89 ).
cnf(c_0_268,hypothesis,
( aScalar0(sdtasdt0(smndt0(xP),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_187]),c_0_261])]) ).
cnf(c_0_269,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_194]) ).
cnf(c_0_270,hypothesis,
( sdtasdt0(xR,sdtasdt0(xS,X1)) = sdtasdt0(xN,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_223]),c_0_224]),c_0_197])]) ).
cnf(c_0_271,plain,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_254]),c_0_255]),c_0_189]),c_0_190]),c_0_224])]) ).
cnf(c_0_272,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_258]),c_0_259])]) ).
cnf(c_0_273,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_274,plain,
sdtpldt0(sz0z00,xR) = sdtpldt0(xR,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_231]),c_0_189]),c_0_197]),c_0_190])]) ).
cnf(c_0_275,hypothesis,
sdtasdt0(smndt0(xR),smndt0(xS)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_262]),c_0_190]),c_0_259])]) ).
cnf(c_0_276,plain,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_180]),c_0_179])]) ).
cnf(c_0_277,plain,
sdtasdt0(sz0z00,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_175,c_0_264]),c_0_183]),c_0_224]),c_0_173])]) ).
cnf(c_0_278,plain,
sdtlseqdt0(sz0z00,sdtasdt0(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_265,c_0_266]),c_0_218]),c_0_220]),c_0_219]),c_0_218]),c_0_267])]) ).
cnf(c_0_279,plain,
( aScalar0(sdtasdt0(xP,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_267])]) ).
cnf(c_0_280,hypothesis,
smndt0(smndt0(xP)) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_253]),c_0_218]),c_0_220]),c_0_219])]) ).
cnf(c_0_281,hypothesis,
sdtasdt0(xN,smndt0(xR)) = sdtasdt0(xR,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_254]),c_0_190])]) ).
cnf(c_0_282,plain,
sdtasdt0(xN,xR) = sdtasdt0(xR,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_197])]) ).
cnf(c_0_283,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_284,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_242]),c_0_224]),c_0_197])]) ).
cnf(c_0_285,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
i_0_99 ).
cnf(c_0_286,plain,
sdtpldt0(sz0z00,xS) = sdtpldt0(xS,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_272]),c_0_258]),c_0_224]),c_0_259])]) ).
cnf(c_0_287,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_197])]) ).
cnf(c_0_288,hypothesis,
sz0z00 = xN,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
cnf(c_0_289,plain,
( sdtasdt0(xP,xP) = sz0z00
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_278]),c_0_173])]) ).
cnf(c_0_290,hypothesis,
aScalar0(sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_261])]) ).
cnf(c_0_291,plain,
smndt0(sdtasdt0(xR,smndt0(xN))) = sdtasdt0(xR,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_281]),c_0_189]),c_0_282]),c_0_190]),c_0_283])]) ).
cnf(c_0_292,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_255]),c_0_284])]) ).
cnf(c_0_293,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(rw,[status(thm)],[c_0_285,c_0_223]) ).
cnf(c_0_294,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_295,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_25 ).
cnf(c_0_296,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_286]),c_0_224])]) ).
cnf(c_0_297,plain,
xN = xR,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_276]),c_0_287]),c_0_288]) ).
cnf(c_0_298,plain,
( sdtasdt0(xP,xP) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290])]) ).
cnf(c_0_299,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
i_0_95 ).
cnf(c_0_300,plain,
sdtasdt0(smndt0(xR),smndt0(xN)) = sdtasdt0(xR,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_291]),c_0_284]),c_0_197])]) ).
cnf(c_0_301,plain,
sdtasdt0(sz0z00,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_292]),c_0_183]),c_0_283]),c_0_173])]) ).
cnf(c_0_302,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_224]),c_0_197])]) ).
cnf(c_0_303,hypothesis,
( sdtpldt0(sdtasdt0(xR,X1),xN) = sdtasdt0(xR,sdtpldt0(X1,xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_223]),c_0_224]),c_0_197])]) ).
cnf(c_0_304,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_173]) ).
cnf(c_0_305,plain,
sdtpldt0(xS,xR) = xS,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_288]),c_0_297]) ).
cnf(c_0_306,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
i_0_96 ).
cnf(c_0_307,plain,
sdtasdt0(xP,xP) = xR,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_288]),c_0_288]),c_0_299])]),c_0_297]) ).
cnf(c_0_308,plain,
sdtpldt0(xR,xR) = xR,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288]),c_0_297]) ).
cnf(c_0_309,plain,
sdtasdt0(xR,xR) = xR,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_276]),c_0_301]),c_0_297]),c_0_288]),c_0_297]) ).
cnf(c_0_310,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_197])]) ).
cnf(c_0_311,plain,
sdtpldt0(xR,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_197]),c_0_224])]) ).
cnf(c_0_312,hypothesis,
sdtlseqdt0(xR,sdtpldt0(xR,sdtasdt0(xS,xS))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307]),c_0_307]),c_0_308]),c_0_309]) ).
cnf(c_0_313,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_307]),c_0_307]),c_0_307]),c_0_307]),c_0_308]),c_0_308]),c_0_308]),c_0_311]),c_0_223]),c_0_297]),c_0_311]),c_0_312])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG068+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon May 30 11:34:23 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 37.57/6.14 # ENIGMATIC: Solved by autoschedule-lgb:
% 37.57/6.14 # No SInE strategy applied
% 37.57/6.14 # Trying AutoSched0 for 150 seconds
% 37.57/6.14 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 37.57/6.14 # and selection function SelectMaxLComplexAvoidPosPred.
% 37.57/6.14 #
% 37.57/6.14 # Preprocessing time : 0.023 s
% 37.57/6.14
% 37.57/6.14 # Proof found!
% 37.57/6.14 # SZS status Theorem
% 37.57/6.14 # SZS output start CNFRefutation
% See solution above
% 37.57/6.14 # Training examples: 0 positive, 0 negative
% 37.57/6.14
% 37.57/6.14 # -------------------------------------------------
% 37.57/6.14 # User time : 3.191 s
% 37.57/6.14 # System time : 0.126 s
% 37.57/6.14 # Total time : 3.317 s
% 37.57/6.14 # Maximum resident set size: 7128 pages
% 37.57/6.14
%------------------------------------------------------------------------------