TSTP Solution File: RNG068+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG068+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 23.80s 4.38s
% Output : CNFRefutation 23.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 62
% Syntax : Number of clauses : 223 ( 119 unt; 9 nHn; 223 RR)
% Number of literals : 441 ( 129 equ; 219 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 : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 160 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_49) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_60) ).
cnf(i_0_50,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_50) ).
cnf(i_0_64,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_64) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_57) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_46) ).
cnf(i_0_65,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_65) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_4) ).
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-ymehsmcj/input.p',i_0_23) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_45) ).
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-ymehsmcj/input.p',i_0_30) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_88) ).
cnf(i_0_87,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_87) ).
cnf(i_0_83,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_83) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/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-ymehsmcj/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-ymehsmcj/input.p',i_0_13) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_86) ).
cnf(i_0_77,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_77) ).
cnf(i_0_73,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_73) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_82) ).
cnf(i_0_79,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_79) ).
cnf(i_0_71,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_71) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_84) ).
cnf(i_0_81,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_81) ).
cnf(i_0_75,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_75) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_14) ).
cnf(i_0_89,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_89) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_42) ).
cnf(i_0_76,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_76) ).
cnf(i_0_67,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_67) ).
cnf(i_0_56,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_56) ).
cnf(i_0_72,hypothesis,
sdtasasdt0(xq,xq) = xD,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_72) ).
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-ymehsmcj/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-ymehsmcj/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-ymehsmcj/input.p',i_0_18) ).
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-ymehsmcj/input.p',i_0_40) ).
cnf(i_0_70,hypothesis,
sdtasasdt0(xp,xp) = xC,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_70) ).
cnf(i_0_63,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_63) ).
cnf(i_0_78,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_78) ).
cnf(i_0_69,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_69) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_15) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_80) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_20) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/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-ymehsmcj/input.p',i_0_24) ).
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-ymehsmcj/input.p',i_0_28) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_22) ).
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-ymehsmcj/input.p',i_0_37) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_21) ).
cnf(i_0_39,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_39) ).
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-ymehsmcj/input.p',i_0_35) ).
cnf(i_0_41,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_41) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_12) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_19) ).
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-ymehsmcj/input.p',i_0_38) ).
cnf(i_0_85,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_85) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_34) ).
cnf(i_0_95,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/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_95) ).
cnf(i_0_91,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ymehsmcj/input.p',i_0_91) ).
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-ymehsmcj/input.p',i_0_27) ).
cnf(c_0_158,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
i_0_49 ).
cnf(c_0_159,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_160,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_161,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_50 ).
cnf(c_0_162,plain,
( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_158]) ).
cnf(c_0_163,hypothesis,
sziznziztdt0(xt) = xq,
i_0_64 ).
cnf(c_0_164,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_165,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_166,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_161]) ).
cnf(c_0_167,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_168,hypothesis,
( sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164])]),c_0_165]) ).
cnf(c_0_169,hypothesis,
aVector0(xq),
i_0_65 ).
cnf(c_0_170,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_171,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_163]),c_0_164])]),c_0_165]) ).
cnf(c_0_172,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_173,plain,
( aScalar0(sdtlbdtrb0(xt,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169])]) ).
cnf(c_0_174,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_175,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_176,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_177,plain,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_169])]) ).
cnf(c_0_178,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_179,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_88 ).
cnf(c_0_180,hypothesis,
aScalar0(xS),
i_0_87 ).
cnf(c_0_181,hypothesis,
aScalar0(xR),
i_0_83 ).
cnf(c_0_182,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_183,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_184,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_185,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_186,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_178,c_0_179]),c_0_180]),c_0_181])]) ).
cnf(c_0_187,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_86 ).
cnf(c_0_188,hypothesis,
aScalar0(xF),
i_0_77 ).
cnf(c_0_189,hypothesis,
aScalar0(xD),
i_0_73 ).
cnf(c_0_190,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_191,plain,
( sdtasdt0(xS,smndt0(xR)) = smndt0(xN)
| ~ aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_180])]) ).
cnf(c_0_192,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_82 ).
cnf(c_0_193,hypothesis,
aScalar0(xG),
i_0_79 ).
cnf(c_0_194,hypothesis,
aScalar0(xC),
i_0_71 ).
cnf(c_0_195,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_84 ).
cnf(c_0_196,hypothesis,
aScalar0(xH),
i_0_81 ).
cnf(c_0_197,hypothesis,
aScalar0(xE),
i_0_75 ).
cnf(c_0_198,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_185]),c_0_188]),c_0_189])]) ).
cnf(c_0_199,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_200,plain,
( smndt0(smndt0(xN)) = sdtasdt0(xS,xR)
| ~ aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_181]),c_0_180])]) ).
cnf(c_0_201,hypothesis,
aScalar0(xN),
i_0_89 ).
cnf(c_0_202,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_178,c_0_192]),c_0_193]),c_0_194])]) ).
cnf(c_0_203,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_183,c_0_192]),c_0_193]),c_0_194])]) ).
cnf(c_0_204,hypothesis,
sdtasdt0(smndt0(xE),xH) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_195]),c_0_196]),c_0_197])]) ).
cnf(c_0_205,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_183,c_0_195]),c_0_196]),c_0_197])]) ).
cnf(c_0_206,plain,
sdtasdt0(xD,smndt0(xF)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_198]),c_0_188]),c_0_189])]) ).
cnf(c_0_207,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_183]),c_0_184]) ).
cnf(c_0_208,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_183,c_0_187]),c_0_189]),c_0_188])]) ).
cnf(c_0_209,plain,
( sdtasdt0(xS,xR) = xN
| ~ aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_200]),c_0_201])]) ).
cnf(c_0_210,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_211,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_76 ).
cnf(c_0_212,hypothesis,
aScalar0(xA),
i_0_67 ).
cnf(c_0_213,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
i_0_56 ).
cnf(c_0_214,hypothesis,
sdtasasdt0(xq,xq) = xD,
i_0_72 ).
cnf(c_0_215,plain,
( sdtasdt0(xG,smndt0(xC)) = smndt0(xR)
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_202]),c_0_193])]) ).
cnf(c_0_216,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_190,c_0_203]),c_0_192]),c_0_193]),c_0_194])]) ).
cnf(c_0_217,plain,
( sdtasdt0(xH,smndt0(xE)) = smndt0(xP)
| ~ aScalar0(smndt0(xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_204]),c_0_196])]) ).
cnf(c_0_218,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_190,c_0_205]),c_0_195]),c_0_196]),c_0_197])]) ).
cnf(c_0_219,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_220,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_17 ).
cnf(c_0_221,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_222,plain,
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_190,c_0_206]),c_0_198]),c_0_188]),c_0_189])]) ).
cnf(c_0_223,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_189]),c_0_188])]) ).
cnf(c_0_224,plain,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_199]),c_0_181])]) ).
cnf(c_0_225,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_40 ).
cnf(c_0_226,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212])]) ).
cnf(c_0_227,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_169])]) ).
cnf(c_0_228,plain,
( sdtasdt0(xG,xC) = xR
| ~ aScalar0(smndt0(xC)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_215]),c_0_194]),c_0_193])]),c_0_216]) ).
cnf(c_0_229,hypothesis,
sdtasasdt0(xp,xp) = xC,
i_0_70 ).
cnf(c_0_230,hypothesis,
aVector0(xp),
i_0_63 ).
cnf(c_0_231,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_78 ).
cnf(c_0_232,hypothesis,
aScalar0(xB),
i_0_69 ).
cnf(c_0_233,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_234,plain,
( sdtasdt0(xH,xE) = xP
| ~ aScalar0(smndt0(xE)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_217]),c_0_197]),c_0_196])]),c_0_218]) ).
cnf(c_0_235,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_80 ).
cnf(c_0_236,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_199]) ).
cnf(c_0_237,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223])]) ).
cnf(c_0_238,plain,
( smndt0(smndt0(xN)) = xN
| ~ aScalar0(smndt0(xR)) ),
inference(rw,[status(thm)],[c_0_200,c_0_224]) ).
cnf(c_0_239,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_203]),c_0_193]),c_0_194])]) ).
cnf(c_0_240,plain,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_191]),c_0_180])]) ).
cnf(c_0_241,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_225,c_0_198]),c_0_226]),c_0_227]),c_0_188]),c_0_189])]) ).
cnf(c_0_242,plain,
sdtasdt0(xG,xC) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_199]),c_0_194])]) ).
cnf(c_0_243,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_229]),c_0_230])]) ).
cnf(c_0_244,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_231]),c_0_232])]) ).
cnf(c_0_245,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_20 ).
cnf(c_0_246,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_247,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_233,c_0_201]) ).
cnf(c_0_248,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_249,plain,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_199]),c_0_197])]) ).
cnf(c_0_250,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_183,c_0_235]),c_0_232]),c_0_212])]) ).
cnf(c_0_251,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_252,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_253,plain,
sdtpldt0(xS,sz0z00) = sdtpldt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_222]),c_0_180]),c_0_223])]) ).
cnf(c_0_254,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_255,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_256,plain,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239])]) ).
cnf(c_0_257,plain,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_239])]) ).
cnf(c_0_258,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
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_224]),c_0_241]),c_0_181]),c_0_180])]) ).
cnf(c_0_259,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_225,c_0_242]),c_0_243]),c_0_244]),c_0_194]),c_0_193])]) ).
cnf(c_0_260,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
i_0_39 ).
cnf(c_0_261,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_178,c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_262,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_248]),c_0_184]) ).
cnf(c_0_263,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_178,c_0_249]),c_0_197]),c_0_196])]) ).
cnf(c_0_264,plain,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_250]),c_0_232]),c_0_212])]) ).
cnf(c_0_265,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_266,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_41 ).
cnf(c_0_267,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_268,plain,
( sdtpldt0(sdtasdt0(X1,X2),sz0z00) = sdtasdt0(X1,sdtpldt0(X2,sz0z00))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_245]),c_0_246])]) ).
cnf(c_0_269,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_180])]) ).
cnf(c_0_270,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_271,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_254,c_0_255]),c_0_246])]) ).
cnf(c_0_272,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_256]),c_0_257])]) ).
cnf(c_0_273,plain,
sdtlseqdt0(sz0z00,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259])]) ).
cnf(c_0_274,plain,
( sdtlseqdt0(smndt0(xN),X1)
| sdtlseqdt0(X1,smndt0(xN))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_257]) ).
cnf(c_0_275,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_276,hypothesis,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_216]),c_0_239])]) ).
cnf(c_0_277,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_262,c_0_263]),c_0_197]),c_0_264])]) ).
cnf(c_0_278,hypothesis,
aScalar0(smndt0(xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_205]),c_0_196]),c_0_197])]) ).
cnf(c_0_279,plain,
( sdtpldt0(X1,X2) = sz0z00
| ~ sdtlseqdt0(sdtpldt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_246])]),c_0_267]) ).
cnf(c_0_280,hypothesis,
sdtpldt0(smndt0(xN),sz0z00) = smndt0(xN),
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_268,c_0_186]),c_0_253]),c_0_269]),c_0_186]),c_0_180]),c_0_239])]) ).
cnf(c_0_281,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_270]),c_0_246])]) ).
cnf(c_0_282,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xN))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]),c_0_257]),c_0_201])]) ).
cnf(c_0_283,plain,
sdtlseqdt0(smndt0(xN),smndt0(xN)),
inference(spm,[status(thm)],[c_0_274,c_0_257]) ).
cnf(c_0_284,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xN))
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xS)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_186]),c_0_180])]),c_0_239])]) ).
cnf(c_0_285,plain,
sdtasdt0(smndt0(xR),sz0z00) = sz0z00,
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_276]),c_0_247]),c_0_246]),c_0_181])]) ).
cnf(c_0_286,plain,
( aScalar0(sdtasdt0(smndt0(xP),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_185]),c_0_278])]) ).
cnf(c_0_287,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_178]) ).
cnf(c_0_288,hypothesis,
aScalar0(xP),
i_0_85 ).
cnf(c_0_289,plain,
( smndt0(xN) = sz0z00
| ~ sdtlseqdt0(smndt0(xN),sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]),c_0_246]),c_0_257])]) ).
cnf(c_0_290,plain,
sdtlseqdt0(smndt0(xN),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_257])]) ).
cnf(c_0_291,plain,
( sdtlseqdt0(sz0z00,smndt0(xN))
| ~ sdtlseqdt0(smndt0(xR),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_284,c_0_285]),c_0_281]),c_0_241]),c_0_246]),c_0_239])]) ).
cnf(c_0_292,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_293,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_256]),c_0_257])]) ).
cnf(c_0_294,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_95 ).
cnf(c_0_295,hypothesis,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
i_0_91 ).
cnf(c_0_296,plain,
( aScalar0(sdtasdt0(xP,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288])]) ).
cnf(c_0_297,plain,
( smndt0(xN) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xN)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290])]) ).
cnf(c_0_298,plain,
sdtlseqdt0(sz0z00,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_239])]) ).
cnf(c_0_299,plain,
sdtpldt0(xN,sz0z00) = sdtpldt0(sz0z00,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_293]),c_0_256]),c_0_201]),c_0_257])]) ).
cnf(c_0_300,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_294,c_0_179]) ).
cnf(c_0_301,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_265,c_0_295]),c_0_201])]) ).
cnf(c_0_302,hypothesis,
aScalar0(sdtasdt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_218]),c_0_278])]) ).
cnf(c_0_303,plain,
smndt0(xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298])]) ).
cnf(c_0_304,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_299]),c_0_201])]) ).
cnf(c_0_305,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_248]),c_0_184]) ).
cnf(c_0_306,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_248,c_0_195]),c_0_196]),c_0_197])]) ).
cnf(c_0_307,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_300,c_0_251]),c_0_180]),c_0_181])]) ).
cnf(c_0_308,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_251,c_0_179]),c_0_180]),c_0_181])]) ).
cnf(c_0_309,hypothesis,
( sdtasdt0(xP,xP) = xN
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]) ).
cnf(c_0_310,plain,
xN = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_303]),c_0_299]),c_0_304]) ).
cnf(c_0_311,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_305,c_0_306]),c_0_195]),c_0_196]),c_0_197]),c_0_195]),c_0_288])]) ).
cnf(c_0_312,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_307,c_0_308]),c_0_181])]) ).
cnf(c_0_313,hypothesis,
sdtasdt0(xP,xP) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310]),c_0_310]),c_0_311])]) ).
cnf(c_0_314,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_247]),c_0_246])]) ).
cnf(c_0_315,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
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_312,c_0_313]),c_0_313]),c_0_314]),c_0_313]),c_0_313]),c_0_314]),c_0_314]) ).
cnf(c_0_316,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_317,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_180]),c_0_181])]),c_0_210]) ).
cnf(c_0_318,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_267]),c_0_180]),c_0_181])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG068+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 06:26:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 23.80/4.38 # ENIGMATIC: Solved by autoschedule:
% 23.80/4.38 # No SInE strategy applied
% 23.80/4.38 # Trying AutoSched0 for 150 seconds
% 23.80/4.38 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 23.80/4.38 # and selection function SelectMaxLComplexAvoidPosPred.
% 23.80/4.38 #
% 23.80/4.38 # Preprocessing time : 0.025 s
% 23.80/4.38
% 23.80/4.38 # Proof found!
% 23.80/4.38 # SZS status Theorem
% 23.80/4.38 # SZS output start CNFRefutation
% See solution above
% 23.80/4.38 # Training examples: 0 positive, 0 negative
% 23.80/4.38
% 23.80/4.38 # -------------------------------------------------
% 23.80/4.38 # User time : 1.923 s
% 23.80/4.38 # System time : 0.091 s
% 23.80/4.38 # Total time : 2.014 s
% 23.80/4.38 # Maximum resident set size: 7116 pages
% 23.80/4.38
%------------------------------------------------------------------------------