TSTP Solution File: NUM510+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM510+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 : 300s
% DateTime : Tue Aug 22 10:51:56 EDT 2023
% Result : Theorem 66.16s 47.95s
% Output : CNFRefutation 66.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 58
% Syntax : Number of formulae : 218 ( 100 unt; 34 typ; 3 def)
% Number of atoms : 425 ( 208 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 398 ( 157 ~; 153 |; 61 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 17 >; 17 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-3 aty)
% Number of variables : 89 (; 77 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xp > xn > xm > xk > sz10 > sz00 > #skF_4 > #skF_18 > #skF_17 > #skF_11 > #skF_6 > #skF_15 > #skF_10 > #skF_16 > #skF_14 > #skF_13 > #skF_5 > #skF_9 > #skF_7 > #skF_3 > #skF_2 > #skF_8 > #skF_1 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff(xr,type,
xr: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xp,type,
xp: $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(xm,type,
xm: $i ).
tff(sdtsldt0,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_579,hypothesis,
( aNaturalNumber0(xr)
& ? [W0] :
( aNaturalNumber0(W0)
& ( xk = sdtasdt0(xr,W0) ) )
& doDivides0(xr,xk)
& ( xr != sz00 )
& ( xr != sz10 )
& ! [W0] :
( ( aNaturalNumber0(W0)
& ( ? [W1] :
( aNaturalNumber0(W1)
& ( xr = sdtasdt0(W0,W1) ) )
| doDivides0(W0,xr) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
tff(f_423,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
tff(f_87,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
tff(f_35,axiom,
( aNaturalNumber0(sz10)
& ( sz10 != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_590,hypothesis,
( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xr,W0) = xk ) )
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtasdt0(xn,xm) = sdtasdt0(xr,W0) ) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
tff(f_93,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
tff(f_67,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
tff(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
tff(f_212,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( ( W1 != W0 )
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
tff(f_618,hypothesis,
( ? [W0] :
( aNaturalNumber0(W0)
& ( xn = sdtasdt0(xr,W0) ) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
tff(f_636,negated_conjecture,
~ ( ~ ( aNaturalNumber0(sdtsldt0(xn,xr))
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
& ( sdtsldt0(xn,xr) = xn ) )
& ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& ( xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ) )
=> ( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(sdtsldt0(xn,xr),W0) = xn ) )
| sdtlseqdt0(sdtsldt0(xn,xr),xn) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_131,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( W0 != sz00 )
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2) )
| ( sdtasdt0(W1,W0) = sdtasdt0(W2,W0) ) )
=> ( W1 = W2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
tff(f_278,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( W0 != sz00 )
=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
tff(f_189,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
tff(f_162,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
<=> ? [W2] :
( aNaturalNumber0(W2)
& ( sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
tff(f_151,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtasdt0(W0,W1) = sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
tff(f_370,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( doDivides0(W0,W1)
& ( W1 != sz00 ) )
=> sdtlseqdt0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
tff(f_73,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_307,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( doDivides0(W0,W1)
<=> ? [W2] :
( aNaturalNumber0(W2)
& ( W1 = sdtasdt0(W0,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
tff(f_535,hypothesis,
( ( xn != xp )
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xn,W0) = xp ) )
& sdtlseqdt0(xn,xp)
& ( xm != xp )
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xm,W0) = xp ) )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
tff(f_502,hypothesis,
( ( xp != sz00 )
& ( xp != sz10 )
& ! [W0] :
( ( aNaturalNumber0(W0)
& ( ? [W1] :
( aNaturalNumber0(W1)
& ( xp = sdtasdt0(W0,W1) ) )
| doDivides0(W0,xp) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& isPrime0(xp)
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtasdt0(xn,xm) = sdtasdt0(xp,W0) ) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
tff(f_540,hypothesis,
( aNaturalNumber0(xk)
& ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk) )
& ( xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
tff(f_323,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( ( W0 != sz00 )
& doDivides0(W0,W1) )
=> ! [W2] :
( ( W2 = sdtsldt0(W1,W0) )
<=> ( aNaturalNumber0(W2)
& ( W1 = sdtasdt0(W0,W2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
tff(f_549,hypothesis,
( ( xk != sz00 )
& ( xk != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
tff(c_457,plain,
xr != sz10,
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_147,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_167858,plain,
! [W0_1421] :
( ( sdtasdt0(sz10,W0_1421) = W0_1421 )
| ~ aNaturalNumber0(W0_1421) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_167915,plain,
sdtasdt0(sz10,xn) = xn,
inference(resolution,[status(thm)],[c_147,c_167858]) ).
tff(c_8,plain,
aNaturalNumber0(sz10),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_459,plain,
xr != sz00,
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_467,plain,
aNaturalNumber0(xr),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_477,plain,
aNaturalNumber0('#skF_13'),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_145,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_168021,plain,
! [W0_1423] :
( ( sdtasdt0(sz00,W0_1423) = sz00 )
| ~ aNaturalNumber0(W0_1423) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_168076,plain,
sdtasdt0(sz00,xm) = sz00,
inference(resolution,[status(thm)],[c_145,c_168021]) ).
tff(c_167338,plain,
! [W0_1415] :
( ( sdtpldt0(W0_1415,sz00) = W0_1415 )
| ~ aNaturalNumber0(W0_1415) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_167395,plain,
sdtpldt0(xn,sz00) = xn,
inference(resolution,[status(thm)],[c_147,c_167338]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_72,plain,
! [W1_50] :
( sdtlseqdt0(W1_50,W1_50)
| ~ aNaturalNumber0(W1_50) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_511,plain,
sdtasdt0(xr,'#skF_18') = xn,
inference(cnfTransformation,[status(thm)],[f_618]) ).
tff(c_513,plain,
aNaturalNumber0('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_618]) ).
tff(c_537,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnfTransformation,[status(thm)],[f_636]) ).
tff(c_529,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(cnfTransformation,[status(thm)],[f_636]) ).
tff(c_163194,plain,
! [W0_1390,W2_1391,W1_1392] :
( ( sdtasdt0(W0_1390,W2_1391) != sdtasdt0(W0_1390,W1_1392) )
| ( W2_1391 = W1_1392 )
| ~ aNaturalNumber0(W2_1391)
| ~ aNaturalNumber0(W1_1392)
| ( sz00 = W0_1390 )
| ~ aNaturalNumber0(W0_1390) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_163514,plain,
! [W2_1391] :
( ( sdtasdt0(xr,W2_1391) != xn )
| ( sdtsldt0(xn,xr) = W2_1391 )
| ~ aNaturalNumber0(W2_1391)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( xr = sz00 )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm),theory(equality)],[c_529,c_163194]) ).
tff(c_163973,plain,
! [W2_1391] :
( ( sdtasdt0(xr,W2_1391) != xn )
| ( sdtsldt0(xn,xr) = W2_1391 )
| ~ aNaturalNumber0(W2_1391)
| ( xr = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_537,c_163514]) ).
tff(c_164790,plain,
! [W2_1399] :
( ( sdtasdt0(xr,W2_1399) != xn )
| ( sdtsldt0(xn,xr) = W2_1399 )
| ~ aNaturalNumber0(W2_1399) ),
inference(negUnitSimplification,[status(thm)],[c_459,c_163973]) ).
tff(c_164928,plain,
( ( sdtasdt0(xr,'#skF_18') != xn )
| ( sdtsldt0(xn,xr) = '#skF_18' ) ),
inference(resolution,[status(thm)],[c_513,c_164790]) ).
tff(c_164987,plain,
sdtsldt0(xn,xr) = '#skF_18',
inference(demodulation,[status(thm),theory(equality)],[c_511,c_164928]) ).
tff(c_1189,plain,
! [W0_122] :
( ( sdtasdt0(sz10,W0_122) = W0_122 )
| ~ aNaturalNumber0(W0_122) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1258,plain,
sdtasdt0(sz10,'#skF_18') = '#skF_18',
inference(resolution,[status(thm)],[c_513,c_1189]) ).
tff(c_4116,plain,
! [W1_155,W0_156] :
( sdtlseqdt0(W1_155,sdtasdt0(W1_155,W0_156))
| ( sz00 = W0_156 )
| ~ aNaturalNumber0(W1_155)
| ~ aNaturalNumber0(W0_156) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_4227,plain,
( sdtlseqdt0(sz10,'#skF_18')
| ( sz00 = '#skF_18' )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_1258,c_4116]) ).
tff(c_4434,plain,
( sdtlseqdt0(sz10,'#skF_18')
| ( sz00 = '#skF_18' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_8,c_4227]) ).
tff(c_43130,plain,
sz00 = '#skF_18',
inference(splitLeft,[status(thm)],[c_4434]) ).
tff(c_43230,plain,
xr != '#skF_18',
inference(demodulation,[status(thm),theory(equality)],[c_43130,c_459]) ).
tff(c_1083,plain,
! [W0_121] :
( ( sdtasdt0(W0_121,sz00) = sz00 )
| ~ aNaturalNumber0(W0_121) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1138,plain,
sdtasdt0(xr,sz00) = sz00,
inference(resolution,[status(thm)],[c_467,c_1083]) ).
tff(c_43164,plain,
sdtasdt0(xr,'#skF_18') = '#skF_18',
inference(demodulation,[status(thm),theory(equality)],[c_43130,c_43130,c_1138]) ).
tff(c_43623,plain,
xn = '#skF_18',
inference(demodulation,[status(thm),theory(equality)],[c_43164,c_511]) ).
tff(c_4341,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm),theory(equality)],[c_529,c_4116]) ).
tff(c_4533,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_537,c_467,c_4341]) ).
tff(c_4534,plain,
sdtsldt0(xn,xr) = sz00,
inference(splitLeft,[status(thm)],[c_4533]) ).
tff(c_4574,plain,
sdtasdt0(xr,sz00) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_4534,c_529]) ).
tff(c_4587,plain,
xn = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1138,c_4574]) ).
tff(c_655,plain,
! [W0_117] :
( ( sdtpldt0(W0_117,sz00) = W0_117 )
| ~ aNaturalNumber0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_719,plain,
sdtpldt0(sdtsldt0(xn,xr),sz00) = sdtsldt0(xn,xr),
inference(resolution,[status(thm)],[c_537,c_655]) ).
tff(c_521,plain,
! [W0_114] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),W0_114) != xn )
| ~ aNaturalNumber0(W0_114) ),
inference(cnfTransformation,[status(thm)],[f_636]) ).
tff(c_558,plain,
! [W0_114] :
( ( sdtpldt0(sdtsldt0(xn,xr),W0_114) != xn )
| ~ aNaturalNumber0(W0_114) ),
inference(splitLeft,[status(thm)],[c_521]) ).
tff(c_915,plain,
( ( sdtsldt0(xn,xr) != xn )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_719,c_558]) ).
tff(c_919,plain,
sdtsldt0(xn,xr) != xn,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_915]) ).
tff(c_4567,plain,
xn != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_4534,c_919]) ).
tff(c_4753,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4587,c_4567]) ).
tff(c_4754,plain,
sdtlseqdt0(xr,xn),
inference(splitRight,[status(thm)],[c_4533]) ).
tff(c_43679,plain,
sdtlseqdt0(xr,'#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_43623,c_4754]) ).
tff(c_66,plain,
! [W1_45,W0_44] :
( ( W1_45 = W0_44 )
| ~ sdtlseqdt0(W1_45,W0_44)
| ~ sdtlseqdt0(W0_44,W1_45)
| ~ aNaturalNumber0(W1_45)
| ~ aNaturalNumber0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_44165,plain,
( ( xr = '#skF_18' )
| ~ sdtlseqdt0('#skF_18',xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0('#skF_18') ),
inference(resolution,[status(thm)],[c_43679,c_66]) ).
tff(c_44172,plain,
( ( xr = '#skF_18' )
| ~ sdtlseqdt0('#skF_18',xr) ),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_467,c_44165]) ).
tff(c_44173,plain,
~ sdtlseqdt0('#skF_18',xr),
inference(negUnitSimplification,[status(thm)],[c_43230,c_44172]) ).
tff(c_586,plain,
! [W0_116] :
( ( sdtpldt0(sz00,W0_116) = W0_116 )
| ~ aNaturalNumber0(W0_116) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_641,plain,
sdtpldt0(sz00,xr) = xr,
inference(resolution,[status(thm)],[c_467,c_586]) ).
tff(c_43202,plain,
sdtpldt0('#skF_18',xr) = xr,
inference(demodulation,[status(thm),theory(equality)],[c_43130,c_641]) ).
tff(c_44470,plain,
! [W0_483,W2_484] :
( sdtlseqdt0(W0_483,sdtpldt0(W0_483,W2_484))
| ~ aNaturalNumber0(W2_484)
| ~ aNaturalNumber0(sdtpldt0(W0_483,W2_484))
| ~ aNaturalNumber0(W0_483) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_44478,plain,
( sdtlseqdt0('#skF_18',xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0('#skF_18',xr))
| ~ aNaturalNumber0('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_43202,c_44470]) ).
tff(c_44554,plain,
sdtlseqdt0('#skF_18',xr),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_467,c_43202,c_467,c_44478]) ).
tff(c_44556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44173,c_44554]) ).
tff(c_44558,plain,
sz00 != '#skF_18',
inference(splitRight,[status(thm)],[c_4434]) ).
tff(c_132521,plain,
! [W1_1161,W0_1162] :
( ( sz00 = W1_1161 )
| ( sz00 = W0_1162 )
| ( sdtasdt0(W0_1162,W1_1161) != sz00 )
| ~ aNaturalNumber0(W1_1161)
| ~ aNaturalNumber0(W0_1162) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_132669,plain,
( ( sz00 = '#skF_18' )
| ( xr = sz00 )
| ( xn != sz00 )
| ~ aNaturalNumber0('#skF_18')
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm),theory(equality)],[c_511,c_132521]) ).
tff(c_132955,plain,
( ( sz00 = '#skF_18' )
| ( xr = sz00 )
| ( xn != sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_513,c_132669]) ).
tff(c_132956,plain,
xn != sz00,
inference(negUnitSimplification,[status(thm)],[c_459,c_44558,c_132955]) ).
tff(c_136850,plain,
! [W0_1206,W1_1207] :
( sdtlseqdt0(W0_1206,W1_1207)
| ( sz00 = W1_1207 )
| ~ doDivides0(W0_1206,W1_1207)
| ~ aNaturalNumber0(W1_1207)
| ~ aNaturalNumber0(W0_1206) ),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_515,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(cnfTransformation,[status(thm)],[f_636]) ).
tff(c_557,plain,
~ sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(splitLeft,[status(thm)],[c_515]) ).
tff(c_136870,plain,
( ( xn = sz00 )
| ~ doDivides0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[status(thm)],[c_136850,c_557]) ).
tff(c_136897,plain,
( ( xn = sz00 )
| ~ doDivides0(sdtsldt0(xn,xr),xn) ),
inference(demodulation,[status(thm),theory(equality)],[c_537,c_147,c_136870]) ).
tff(c_136898,plain,
~ doDivides0(sdtsldt0(xn,xr),xn),
inference(negUnitSimplification,[status(thm)],[c_132956,c_136897]) ).
tff(c_165005,plain,
~ doDivides0('#skF_18',xn),
inference(demodulation,[status(thm),theory(equality)],[c_164987,c_136898]) ).
tff(c_2732,plain,
! [W1_140,W0_141] :
( ( sdtasdt0(W1_140,W0_141) = sdtasdt0(W0_141,W1_140) )
| ~ aNaturalNumber0(W1_140)
| ~ aNaturalNumber0(W0_141) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2806,plain,
! [W0_141] :
( ( sdtasdt0(sdtsldt0(xn,xr),W0_141) = sdtasdt0(W0_141,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(W0_141) ),
inference(resolution,[status(thm)],[c_537,c_2732]) ).
tff(c_166958,plain,
! [W0_1411] :
( ( sdtasdt0(W0_1411,'#skF_18') = sdtasdt0('#skF_18',W0_1411) )
| ~ aNaturalNumber0(W0_1411) ),
inference(demodulation,[status(thm),theory(equality)],[c_164987,c_164987,c_2806]) ).
tff(c_167042,plain,
sdtasdt0(xr,'#skF_18') = sdtasdt0('#skF_18',xr),
inference(resolution,[status(thm)],[c_467,c_166958]) ).
tff(c_167107,plain,
sdtasdt0('#skF_18',xr) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_511,c_167042]) ).
tff(c_101,plain,
! [W0_65,W2_69] :
( doDivides0(W0_65,sdtasdt0(W0_65,W2_69))
| ~ aNaturalNumber0(W2_69)
| ~ aNaturalNumber0(sdtasdt0(W0_65,W2_69))
| ~ aNaturalNumber0(W0_65) ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_167143,plain,
( doDivides0('#skF_18',xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0('#skF_18',xr))
| ~ aNaturalNumber0('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_167107,c_101]) ).
tff(c_167177,plain,
doDivides0('#skF_18',xn),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_147,c_167107,c_467,c_167143]) ).
tff(c_167179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165005,c_167177]) ).
tff(c_167180,plain,
sdtsldt0(xn,xr) = xn,
inference(splitRight,[status(thm)],[c_521]) ).
tff(c_167219,plain,
~ sdtlseqdt0(xn,xn),
inference(demodulation,[status(thm),theory(equality)],[c_167180,c_557]) ).
tff(c_167222,plain,
~ aNaturalNumber0(xn),
inference(resolution,[status(thm)],[c_72,c_167219]) ).
tff(c_167226,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147,c_167222]) ).
tff(c_167227,plain,
sdtsldt0(xn,xr) = xn,
inference(splitRight,[status(thm)],[c_515]) ).
tff(c_167229,plain,
! [W0_114] :
( ( sdtpldt0(sdtsldt0(xn,xr),W0_114) != xn )
| ~ aNaturalNumber0(W0_114) ),
inference(splitLeft,[status(thm)],[c_521]) ).
tff(c_167416,plain,
! [W0_1416] :
( ( sdtpldt0(xn,W0_1416) != xn )
| ~ aNaturalNumber0(W0_1416) ),
inference(demodulation,[status(thm),theory(equality)],[c_167227,c_167229]) ).
tff(c_167478,plain,
sdtpldt0(xn,sz00) != xn,
inference(resolution,[status(thm)],[c_4,c_167416]) ).
tff(c_167714,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167395,c_167478]) ).
tff(c_167715,plain,
sdtsldt0(xn,xr) = xn,
inference(splitRight,[status(thm)],[c_521]) ).
tff(c_167716,plain,
sdtasdt0(xr,xn) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_167715,c_529]) ).
tff(c_169957,plain,
! [W1_1454,W0_1455] :
( sdtlseqdt0(W1_1454,sdtasdt0(W1_1454,W0_1455))
| ( sz00 = W0_1455 )
| ~ aNaturalNumber0(W1_1454)
| ~ aNaturalNumber0(W0_1455) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_170161,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_167716,c_169957]) ).
tff(c_170336,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_467,c_170161]) ).
tff(c_170337,plain,
xn = sz00,
inference(splitLeft,[status(thm)],[c_170336]) ).
tff(c_475,plain,
sdtasdt0(xr,'#skF_13') = sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_590]) ).
tff(c_170365,plain,
sdtasdt0(xr,'#skF_13') = sdtasdt0(sz00,xm),
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_475]) ).
tff(c_170391,plain,
sdtasdt0(xr,'#skF_13') = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_170365]) ).
tff(c_50,plain,
! [W1_33,W0_32] :
( ( sz00 = W1_33 )
| ( sz00 = W0_32 )
| ( sdtasdt0(W0_32,W1_33) != sz00 )
| ~ aNaturalNumber0(W1_33)
| ~ aNaturalNumber0(W0_32) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_176856,plain,
( ( sz00 = '#skF_13' )
| ( xr = sz00 )
| ~ aNaturalNumber0('#skF_13')
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm),theory(equality)],[c_170391,c_50]) ).
tff(c_176890,plain,
( ( sz00 = '#skF_13' )
| ( xr = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_477,c_176856]) ).
tff(c_176891,plain,
sz00 = '#skF_13',
inference(negUnitSimplification,[status(thm)],[c_459,c_176890]) ).
tff(c_437,plain,
aNaturalNumber0('#skF_11'),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_167935,plain,
! [W0_1422] :
( ( sdtpldt0(sz00,W0_1422) = W0_1422 )
| ~ aNaturalNumber0(W0_1422) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_167994,plain,
sdtpldt0(sz00,'#skF_11') = '#skF_11',
inference(resolution,[status(thm)],[c_437,c_167935]) ).
tff(c_435,plain,
sdtpldt0(xn,'#skF_11') = xp,
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_170370,plain,
sdtpldt0(sz00,'#skF_11') = xp,
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_435]) ).
tff(c_170395,plain,
xp = '#skF_11',
inference(demodulation,[status(thm),theory(equality)],[c_167994,c_170370]) ).
tff(c_411,plain,
xp != sz00,
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_170432,plain,
sz00 != '#skF_11',
inference(demodulation,[status(thm),theory(equality)],[c_170395,c_411]) ).
tff(c_177575,plain,
'#skF_11' != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_170432]) ).
tff(c_403,plain,
sdtasdt0(xp,'#skF_9') = sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_170357,plain,
sdtasdt0(xp,'#skF_9') = sdtasdt0(sz00,xm),
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_403]) ).
tff(c_170387,plain,
sdtasdt0(xp,'#skF_9') = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_170357]) ).
tff(c_180489,plain,
sdtasdt0('#skF_11','#skF_9') = '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_170395,c_170387]) ).
tff(c_401,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_170367,plain,
doDivides0(xp,sdtasdt0(sz00,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_401]) ).
tff(c_170393,plain,
doDivides0(xp,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_170367]) ).
tff(c_170487,plain,
doDivides0('#skF_11',sz00),
inference(demodulation,[status(thm),theory(equality)],[c_170395,c_170393]) ).
tff(c_177569,plain,
doDivides0('#skF_11','#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_170487]) ).
tff(c_405,plain,
aNaturalNumber0('#skF_9'),
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_441,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_170366,plain,
sdtsldt0(sdtasdt0(sz00,xm),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_441]) ).
tff(c_170392,plain,
sdtsldt0(sz00,xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_170366]) ).
tff(c_180355,plain,
sdtsldt0('#skF_13','#skF_11') = xk,
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_170395,c_170392]) ).
tff(c_107,plain,
! [W0_70,W2_73] :
( ( sdtsldt0(sdtasdt0(W0_70,W2_73),W0_70) = W2_73 )
| ~ aNaturalNumber0(W2_73)
| ~ doDivides0(W0_70,sdtasdt0(W0_70,W2_73))
| ( sz00 = W0_70 )
| ~ aNaturalNumber0(sdtasdt0(W0_70,W2_73))
| ~ aNaturalNumber0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_178713,plain,
! [W0_70,W2_73] :
( ( sdtsldt0(sdtasdt0(W0_70,W2_73),W0_70) = W2_73 )
| ~ aNaturalNumber0(W2_73)
| ~ doDivides0(W0_70,sdtasdt0(W0_70,W2_73))
| ( W0_70 = '#skF_13' )
| ~ aNaturalNumber0(sdtasdt0(W0_70,W2_73))
| ~ aNaturalNumber0(W0_70) ),
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_107]) ).
tff(c_180505,plain,
( ( sdtsldt0(sdtasdt0('#skF_11','#skF_9'),'#skF_11') = '#skF_9' )
| ~ aNaturalNumber0('#skF_9')
| ~ doDivides0('#skF_11','#skF_13')
| ( '#skF_11' = '#skF_13' )
| ~ aNaturalNumber0(sdtasdt0('#skF_11','#skF_9'))
| ~ aNaturalNumber0('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_180489,c_178713]) ).
tff(c_180561,plain,
( ( xk = '#skF_9' )
| ( '#skF_11' = '#skF_13' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_437,c_477,c_180489,c_177569,c_405,c_180355,c_180489,c_180505]) ).
tff(c_180562,plain,
xk = '#skF_9',
inference(negUnitSimplification,[status(thm)],[c_177575,c_180561]) ).
tff(c_453,plain,
xk != sz00,
inference(cnfTransformation,[status(thm)],[f_549]) ).
tff(c_177647,plain,
xk != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_453]) ).
tff(c_180606,plain,
'#skF_13' != '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_180562,c_177647]) ).
tff(c_168319,plain,
! [W0_1426] :
( ( sdtasdt0(W0_1426,sz00) = sz00 )
| ~ aNaturalNumber0(W0_1426) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_168379,plain,
sdtasdt0('#skF_11',sz00) = sz00,
inference(resolution,[status(thm)],[c_437,c_168319]) ).
tff(c_177612,plain,
sdtasdt0('#skF_11','#skF_13') = '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_176891,c_168379]) ).
tff(c_186333,plain,
( ( sdtsldt0(sdtasdt0('#skF_11','#skF_13'),'#skF_11') = '#skF_13' )
| ~ aNaturalNumber0('#skF_13')
| ~ doDivides0('#skF_11','#skF_13')
| ( '#skF_11' = '#skF_13' )
| ~ aNaturalNumber0(sdtasdt0('#skF_11','#skF_13'))
| ~ aNaturalNumber0('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_177612,c_178713]) ).
tff(c_186409,plain,
( ( sdtsldt0('#skF_13','#skF_11') = '#skF_13' )
| ( '#skF_11' = '#skF_13' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_437,c_477,c_177612,c_177569,c_477,c_177612,c_186333]) ).
tff(c_186410,plain,
sdtsldt0('#skF_13','#skF_11') = '#skF_13',
inference(negUnitSimplification,[status(thm)],[c_177575,c_186409]) ).
tff(c_443,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_170363,plain,
sdtasdt0(xp,xk) = sdtasdt0(sz00,xm),
inference(demodulation,[status(thm),theory(equality)],[c_170337,c_443]) ).
tff(c_170389,plain,
sdtasdt0(xp,xk) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_170363]) ).
tff(c_180032,plain,
sdtasdt0('#skF_11',xk) = '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_176891,c_170395,c_170389]) ).
tff(c_445,plain,
aNaturalNumber0(xk),
inference(cnfTransformation,[status(thm)],[f_540]) ).
tff(c_180044,plain,
( ( sdtsldt0(sdtasdt0('#skF_11',xk),'#skF_11') = xk )
| ~ aNaturalNumber0(xk)
| ~ doDivides0('#skF_11','#skF_13')
| ( '#skF_11' = '#skF_13' )
| ~ aNaturalNumber0(sdtasdt0('#skF_11',xk))
| ~ aNaturalNumber0('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_180032,c_178713]) ).
tff(c_180096,plain,
( ( sdtsldt0('#skF_13','#skF_11') = xk )
| ( '#skF_11' = '#skF_13' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_437,c_477,c_180032,c_177569,c_445,c_180032,c_180044]) ).
tff(c_180097,plain,
sdtsldt0('#skF_13','#skF_11') = xk,
inference(negUnitSimplification,[status(thm)],[c_177575,c_180096]) ).
tff(c_190885,plain,
'#skF_13' = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_186410,c_180562,c_180097]) ).
tff(c_190886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180606,c_190885]) ).
tff(c_190888,plain,
xn != sz00,
inference(splitRight,[status(thm)],[c_170336]) ).
tff(c_234305,plain,
! [W2_2113,W0_2114,W1_2115] :
( ( sdtasdt0(W2_2113,W0_2114) != sdtasdt0(W1_2115,W0_2114) )
| ( W2_2113 = W1_2115 )
| ~ aNaturalNumber0(W2_2113)
| ~ aNaturalNumber0(W1_2115)
| ( sz00 = W0_2114 )
| ~ aNaturalNumber0(W0_2114) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_234591,plain,
! [W1_2115] :
( ( sdtasdt0(W1_2115,xn) != xn )
| ( xr = W1_2115 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(W1_2115)
| ( xn = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_167716,c_234305]) ).
tff(c_234977,plain,
! [W1_2115] :
( ( sdtasdt0(W1_2115,xn) != xn )
| ( xr = W1_2115 )
| ~ aNaturalNumber0(W1_2115)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_467,c_234591]) ).
tff(c_235001,plain,
! [W1_2116] :
( ( sdtasdt0(W1_2116,xn) != xn )
| ( xr = W1_2116 )
| ~ aNaturalNumber0(W1_2116) ),
inference(negUnitSimplification,[status(thm)],[c_190888,c_234977]) ).
tff(c_235052,plain,
( ( sdtasdt0(sz10,xn) != xn )
| ( xr = sz10 ) ),
inference(resolution,[status(thm)],[c_8,c_235001]) ).
tff(c_235098,plain,
xr = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_167915,c_235052]) ).
tff(c_235100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_457,c_235098]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM510+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:56:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 66.16/47.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.16/47.98
% 66.16/47.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 66.16/48.03
% 66.16/48.03 Inference rules
% 66.16/48.03 ----------------------
% 66.16/48.03 #Ref : 109
% 66.16/48.03 #Sup : 49189
% 66.16/48.03 #Fact : 4
% 66.16/48.03 #Define : 0
% 66.16/48.03 #Split : 129
% 66.16/48.03 #Chain : 0
% 66.16/48.03 #Close : 0
% 66.16/48.03
% 66.16/48.03 Ordering : KBO
% 66.16/48.03
% 66.16/48.03 Simplification rules
% 66.16/48.03 ----------------------
% 66.16/48.03 #Subsume : 3144
% 66.16/48.03 #Demod : 99181
% 66.16/48.03 #Tautology : 14297
% 66.16/48.03 #SimpNegUnit : 8467
% 66.16/48.03 #BackRed : 4898
% 66.16/48.03
% 66.16/48.03 #Partial instantiations: 0
% 66.16/48.03 #Strategies tried : 1
% 66.16/48.03
% 66.16/48.03 Timing (in seconds)
% 66.16/48.03 ----------------------
% 66.16/48.03 Preprocessing : 0.92
% 66.16/48.03 Parsing : 0.38
% 66.16/48.03 CNF conversion : 0.10
% 66.16/48.03 Main loop : 46.00
% 66.16/48.03 Inferencing : 6.18
% 66.16/48.03 Reduction : 28.57
% 66.16/48.03 Demodulation : 24.55
% 66.16/48.03 BG Simplification : 0.42
% 66.16/48.04 Subsumption : 8.57
% 66.16/48.04 Abstraction : 0.59
% 66.16/48.04 MUC search : 0.00
% 66.16/48.04 Cooper : 0.00
% 66.16/48.04 Total : 47.02
% 66.16/48.04 Index Insertion : 0.00
% 66.16/48.04 Index Deletion : 0.00
% 66.16/48.04 Index Matching : 0.00
% 66.16/48.04 BG Taut test : 0.00
%------------------------------------------------------------------------------