TSTP Solution File: NUM518+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM518+1 : 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 : 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 : 300s
% DateTime : Tue Aug 22 10:51:57 EDT 2023
% Result : Theorem 107.80s 90.00s
% Output : CNFRefutation 107.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of formulae : 102 ( 33 unt; 20 typ; 3 def)
% Number of atoms : 236 ( 56 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 260 ( 106 ~; 109 |; 26 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 13 >; 9 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 64 (; 63 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xp > xn > xm > xk > sz10 > sz00 > #skF_4 > #skF_3 > #skF_2 > #skF_1
%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(sz10,type,
sz10: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
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(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(f_493,negated_conjecture,
~ ( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_423,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
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_403,definition,
! [W0] :
( aNaturalNumber0(W0)
=> ( isPrime0(W0)
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1] :
( ( aNaturalNumber0(W1)
& doDivides0(W1,W0) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
tff(f_470,hypothesis,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
tff(f_35,axiom,
( aNaturalNumber0(sz10)
& ( sz10 != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
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_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_481,hypothesis,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
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_489,hypothesis,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
tff(f_81,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
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_93,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
tff(f_347,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( doDivides0(W0,W1)
& doDivides0(W0,W2) )
=> doDivides0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
tff(f_335,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( doDivides0(W0,W1)
& doDivides0(W1,W2) )
=> doDivides0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
tff(c_205,plain,
~ doDivides0(xp,xn),
inference(cnfTransformation,[status(thm)],[f_493]) ).
tff(c_147,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_408,plain,
! [W0_104] :
( ( sdtpldt0(W0_104,sz00) = W0_104 )
| ~ aNaturalNumber0(W0_104) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_427,plain,
sdtpldt0(xn,sz00) = xn,
inference(resolution,[status(thm)],[c_147,c_408]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_135,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_211,plain,
~ isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135]) ).
tff(c_181,plain,
aNaturalNumber0(xr),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_8,plain,
aNaturalNumber0(sz10),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_328,plain,
! [W0_102] :
( ( sdtasdt0(sz10,W0_102) = W0_102 )
| ~ aNaturalNumber0(W0_102) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_348,plain,
sdtasdt0(sz10,xr) = xr,
inference(resolution,[status(thm)],[c_181,c_328]) ).
tff(c_1689,plain,
! [W1_131,W0_132] :
( sdtlseqdt0(W1_131,sdtasdt0(W1_131,W0_132))
| ( sz00 = W0_132 )
| ~ aNaturalNumber0(W1_131)
| ~ aNaturalNumber0(W0_132) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_1770,plain,
( sdtlseqdt0(sz10,xr)
| ( xr = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm),theory(equality)],[c_348,c_1689]) ).
tff(c_1861,plain,
( sdtlseqdt0(sz10,xr)
| ( xr = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181,c_8,c_1770]) ).
tff(c_2254,plain,
xr = sz00,
inference(splitLeft,[status(thm)],[c_1861]) ).
tff(c_177,plain,
isPrime0(xr),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_2281,plain,
isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_2254,c_177]) ).
tff(c_2301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_211,c_2281]) ).
tff(c_2303,plain,
xr != sz00,
inference(splitRight,[status(thm)],[c_1861]) ).
tff(c_193,plain,
doDivides0(xr,xn),
inference(cnfTransformation,[status(thm)],[f_481]) ).
tff(c_111,plain,
! [W1_71,W0_70] :
( aNaturalNumber0(sdtsldt0(W1_71,W0_70))
| ~ doDivides0(W0_70,W1_71)
| ( sz00 = W0_70 )
| ~ aNaturalNumber0(W1_71)
| ~ aNaturalNumber0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_143,plain,
aNaturalNumber0(xp),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_203,plain,
~ doDivides0(xp,xm),
inference(cnfTransformation,[status(thm)],[f_493]) ).
tff(c_201,plain,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_206,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(negUnitSimplification,[status(thm)],[c_203,c_201]) ).
tff(c_101287,plain,
! [W1_624,W0_625] :
( ( W1_624 = W0_625 )
| ( sz10 = W1_624 )
| ~ doDivides0(W1_624,W0_625)
| ~ aNaturalNumber0(W1_624)
| ~ isPrime0(W0_625)
| ~ aNaturalNumber0(W0_625) ),
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_101323,plain,
( ( sdtsldt0(xn,xr) = xp )
| ( xp = sz10 )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[status(thm)],[c_206,c_101287]) ).
tff(c_101364,plain,
( ( sdtsldt0(xn,xr) = xp )
| ( xp = sz10 )
| ~ isPrime0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_101323]) ).
tff(c_101381,plain,
~ aNaturalNumber0(sdtsldt0(xn,xr)),
inference(splitLeft,[status(thm)],[c_101364]) ).
tff(c_101476,plain,
( ~ doDivides0(xr,xn)
| ( xr = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[status(thm)],[c_111,c_101381]) ).
tff(c_101479,plain,
xr = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_181,c_147,c_193,c_101476]) ).
tff(c_101481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2303,c_101479]) ).
tff(c_101483,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(splitRight,[status(thm)],[c_101364]) ).
tff(c_365,plain,
! [W0_103] :
( ( sdtasdt0(W0_103,sz10) = W0_103 )
| ~ aNaturalNumber0(W0_103) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_384,plain,
sdtasdt0(xn,sz10) = xn,
inference(resolution,[status(thm)],[c_147,c_365]) ).
tff(c_28,plain,
! [W0_17] :
( ( sdtasdt0(W0_17,sz10) = W0_17 )
| ~ aNaturalNumber0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_101617,plain,
sdtasdt0(sdtsldt0(xn,xr),sz10) = sdtsldt0(xn,xr),
inference(resolution,[status(thm)],[c_101483,c_28]) ).
tff(c_109,plain,
! [W0_70,W1_71] :
( ( sdtasdt0(W0_70,sdtsldt0(W1_71,W0_70)) = W1_71 )
| ~ doDivides0(W0_70,W1_71)
| ( sz00 = W0_70 )
| ~ aNaturalNumber0(W1_71)
| ~ aNaturalNumber0(W0_70) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_102920,plain,
! [W0_648,W1_649,W2_650] :
( ( sdtasdt0(sdtasdt0(W0_648,W1_649),W2_650) = sdtasdt0(W0_648,sdtasdt0(W1_649,W2_650)) )
| ~ aNaturalNumber0(W2_650)
| ~ aNaturalNumber0(W1_649)
| ~ aNaturalNumber0(W0_648) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_219646,plain,
! [W0_1149,W1_1150,W2_1151] :
( ( sdtasdt0(W0_1149,sdtasdt0(sdtsldt0(W1_1150,W0_1149),W2_1151)) = sdtasdt0(W1_1150,W2_1151) )
| ~ aNaturalNumber0(W2_1151)
| ~ aNaturalNumber0(sdtsldt0(W1_1150,W0_1149))
| ~ aNaturalNumber0(W0_1149)
| ~ doDivides0(W0_1149,W1_1150)
| ( sz00 = W0_1149 )
| ~ aNaturalNumber0(W1_1150)
| ~ aNaturalNumber0(W0_1149) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_102920]) ).
tff(c_220153,plain,
( ( sdtasdt0(xr,sdtsldt0(xn,xr)) = sdtasdt0(xn,sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xn)
| ( xr = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm),theory(equality)],[c_101617,c_219646]) ).
tff(c_220423,plain,
( ( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn )
| ( xr = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181,c_147,c_193,c_181,c_101483,c_8,c_384,c_220153]) ).
tff(c_220424,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(negUnitSimplification,[status(thm)],[c_2303,c_220423]) ).
tff(c_728,plain,
! [W1_112,W0_113] :
( ( sdtasdt0(W1_112,W0_113) = sdtasdt0(W0_113,W1_112) )
| ~ aNaturalNumber0(W1_112)
| ~ aNaturalNumber0(W0_113) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_114014,plain,
! [W0_708] :
( ( sdtasdt0(xr,W0_708) = sdtasdt0(W0_708,xr) )
| ~ aNaturalNumber0(W0_708) ),
inference(resolution,[status(thm)],[c_181,c_728]) ).
tff(c_114141,plain,
sdtasdt0(sdtsldt0(xn,xr),xr) = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(resolution,[status(thm)],[c_101483,c_114014]) ).
tff(c_220443,plain,
sdtasdt0(sdtsldt0(xn,xr),xr) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_220424,c_114141]) ).
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_220879,plain,
( doDivides0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm),theory(equality)],[c_220443,c_101]) ).
tff(c_221016,plain,
doDivides0(sdtsldt0(xn,xr),xn),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_147,c_220443,c_181,c_220879]) ).
tff(c_32,plain,
! [W0_18] :
( ( sdtasdt0(W0_18,sz00) = sz00 )
| ~ aNaturalNumber0(W0_18) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_101621,plain,
sdtasdt0(sdtsldt0(xn,xr),sz00) = sz00,
inference(resolution,[status(thm)],[c_101483,c_32]) ).
tff(c_102170,plain,
( doDivides0(sdtsldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm),theory(equality)],[c_101621,c_101]) ).
tff(c_102182,plain,
doDivides0(sdtsldt0(xn,xr),sz00),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_4,c_101621,c_4,c_102170]) ).
tff(c_104976,plain,
! [W0_660,W1_661,W2_662] :
( doDivides0(W0_660,sdtpldt0(W1_661,W2_662))
| ~ doDivides0(W0_660,W2_662)
| ~ doDivides0(W0_660,W1_661)
| ~ aNaturalNumber0(W2_662)
| ~ aNaturalNumber0(W1_661)
| ~ aNaturalNumber0(W0_660) ),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_113,plain,
! [W0_74,W2_76,W1_75] :
( doDivides0(W0_74,W2_76)
| ~ doDivides0(W1_75,W2_76)
| ~ doDivides0(W0_74,W1_75)
| ~ aNaturalNumber0(W2_76)
| ~ aNaturalNumber0(W1_75)
| ~ aNaturalNumber0(W0_74) ),
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_205347,plain,
! [W0_1057,W1_1058,W2_1059,W0_1060] :
( doDivides0(W0_1057,sdtpldt0(W1_1058,W2_1059))
| ~ doDivides0(W0_1057,W0_1060)
| ~ aNaturalNumber0(sdtpldt0(W1_1058,W2_1059))
| ~ aNaturalNumber0(W0_1057)
| ~ doDivides0(W0_1060,W2_1059)
| ~ doDivides0(W0_1060,W1_1058)
| ~ aNaturalNumber0(W2_1059)
| ~ aNaturalNumber0(W1_1058)
| ~ aNaturalNumber0(W0_1060) ),
inference(resolution,[status(thm)],[c_104976,c_113]) ).
tff(c_205515,plain,
! [W1_1058,W2_1059] :
( doDivides0(xp,sdtpldt0(W1_1058,W2_1059))
| ~ aNaturalNumber0(sdtpldt0(W1_1058,W2_1059))
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sdtsldt0(xn,xr),W2_1059)
| ~ doDivides0(sdtsldt0(xn,xr),W1_1058)
| ~ aNaturalNumber0(W2_1059)
| ~ aNaturalNumber0(W1_1058)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(resolution,[status(thm)],[c_206,c_205347]) ).
tff(c_206108,plain,
! [W1_1062,W2_1063] :
( doDivides0(xp,sdtpldt0(W1_1062,W2_1063))
| ~ aNaturalNumber0(sdtpldt0(W1_1062,W2_1063))
| ~ doDivides0(sdtsldt0(xn,xr),W2_1063)
| ~ doDivides0(sdtsldt0(xn,xr),W1_1062)
| ~ aNaturalNumber0(W2_1063)
| ~ aNaturalNumber0(W1_1062) ),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_143,c_205515]) ).
tff(c_206127,plain,
! [W1_1062] :
( doDivides0(xp,sdtpldt0(W1_1062,sz00))
| ~ aNaturalNumber0(sdtpldt0(W1_1062,sz00))
| ~ doDivides0(sdtsldt0(xn,xr),W1_1062)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(W1_1062) ),
inference(resolution,[status(thm)],[c_102182,c_206108]) ).
tff(c_206151,plain,
! [W1_1062] :
( doDivides0(xp,sdtpldt0(W1_1062,sz00))
| ~ aNaturalNumber0(sdtpldt0(W1_1062,sz00))
| ~ doDivides0(sdtsldt0(xn,xr),W1_1062)
| ~ aNaturalNumber0(W1_1062) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_206127]) ).
tff(c_221035,plain,
( doDivides0(xp,sdtpldt0(xn,sz00))
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_221016,c_206151]) ).
tff(c_221055,plain,
doDivides0(xp,xn),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_147,c_427,c_427,c_221035]) ).
tff(c_221057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205,c_221055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % 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
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:08:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 107.80/90.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 107.80/90.01
% 107.80/90.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 107.82/90.05
% 107.82/90.05 Inference rules
% 107.82/90.05 ----------------------
% 107.82/90.05 #Ref : 16
% 107.82/90.05 #Sup : 45815
% 107.82/90.05 #Fact : 2
% 107.82/90.05 #Define : 0
% 107.82/90.05 #Split : 96
% 107.82/90.05 #Chain : 0
% 107.82/90.05 #Close : 0
% 107.82/90.05
% 107.82/90.05 Ordering : KBO
% 107.82/90.05
% 107.82/90.05 Simplification rules
% 107.82/90.05 ----------------------
% 107.82/90.05 #Subsume : 7383
% 107.82/90.05 #Demod : 89969
% 107.82/90.05 #Tautology : 13696
% 107.82/90.05 #SimpNegUnit : 8451
% 107.82/90.05 #BackRed : 1770
% 107.82/90.05
% 107.82/90.05 #Partial instantiations: 0
% 107.82/90.05 #Strategies tried : 1
% 107.82/90.05
% 107.82/90.05 Timing (in seconds)
% 107.82/90.05 ----------------------
% 108.06/90.06 Preprocessing : 0.71
% 108.06/90.06 Parsing : 0.36
% 108.06/90.06 CNF conversion : 0.05
% 108.06/90.06 Main loop : 88.25
% 108.06/90.06 Inferencing : 7.45
% 108.06/90.06 Reduction : 58.28
% 108.06/90.06 Demodulation : 48.53
% 108.06/90.06 BG Simplification : 0.35
% 108.06/90.06 Subsumption : 18.29
% 108.06/90.06 Abstraction : 0.65
% 108.06/90.06 MUC search : 0.00
% 108.06/90.06 Cooper : 0.00
% 108.06/90.06 Total : 89.04
% 108.06/90.06 Index Insertion : 0.00
% 108.06/90.06 Index Deletion : 0.00
% 108.06/90.06 Index Matching : 0.00
% 108.06/90.06 BG Taut test : 0.00
%------------------------------------------------------------------------------