TSTP Solution File: NUM471+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM471+2 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 10:51:47 EDT 2023
% Result : Theorem 20.23s 9.12s
% Output : CNFRefutation 20.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 111 ( 39 unt; 19 typ; 2 def)
% Number of atoms : 250 ( 93 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 272 ( 114 ~; 109 |; 32 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 10 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 65 (; 61 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xq > xp > xn > xm > xl > sz10 > sz00 > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xq,type,
xq: $i ).
tff(xl,type,
xl: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $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(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $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_365,hypothesis,
( ? [W0] :
( aNaturalNumber0(W0)
& ( xm = sdtasdt0(xl,W0) ) )
& doDivides0(xl,xm)
& ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
tff(f_367,hypothesis,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
tff(f_352,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
tff(f_377,hypothesis,
( aNaturalNumber0(xq)
& ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
& ( xq = sdtsldt0(sdtpldt0(xm,xn),xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
tff(f_372,hypothesis,
( aNaturalNumber0(xp)
& ( xm = sdtasdt0(xl,xp) )
& ( xp = sdtsldt0(xm,xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
tff(f_212,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( ( W1 != W0 )
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
tff(f_162,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
<=> ? [W2] :
( aNaturalNumber0(W2)
& ( sdtpldt0(W0,W2) = W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
tff(f_384,negated_conjecture,
~ ( ? [W0] :
( aNaturalNumber0(W0)
& ( sdtpldt0(xp,W0) = xq ) )
| sdtlseqdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_67,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
tff(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
tff(f_73,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_189,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
tff(f_258,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& sdtlseqdt0(W1,W2) )
=> ( ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2) )
& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& ( sdtasdt0(W1,W0) != sdtasdt0(W2,W0) )
& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
tff(c_127,plain,
aNaturalNumber0('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_135,plain,
xl != sz00,
inference(cnfTransformation,[status(thm)],[f_367]) ).
tff(c_121,plain,
aNaturalNumber0(xl),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_147,plain,
aNaturalNumber0(xq),
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_125,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_145,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_153,plain,
sdtasdt0(xl,xq) = sdtasdt0(xl,'#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_145]) ).
tff(c_572,plain,
! [W0_89,W1_90] :
( aNaturalNumber0(sdtasdt0(W0_89,W1_90))
| ~ aNaturalNumber0(W1_90)
| ~ aNaturalNumber0(W0_89) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_605,plain,
( aNaturalNumber0(sdtasdt0(xl,'#skF_3'))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_153,c_572]) ).
tff(c_671,plain,
aNaturalNumber0(sdtasdt0(xl,'#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_147,c_605]) ).
tff(c_143,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_152,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_143]) ).
tff(c_154,plain,
sdtsldt0(sdtasdt0(xl,'#skF_3'),xl) = xq,
inference(demodulation,[status(thm),theory(equality)],[c_153,c_152]) ).
tff(c_123,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_155,plain,
doDivides0(xl,sdtasdt0(xl,'#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_123]) ).
tff(c_14994,plain,
! [W0_262,W2_263] :
( ( sdtsldt0(sdtasdt0(W0_262,W2_263),W0_262) = W2_263 )
| ~ aNaturalNumber0(W2_263)
| ~ doDivides0(W0_262,sdtasdt0(W0_262,W2_263))
| ( sz00 = W0_262 )
| ~ aNaturalNumber0(sdtasdt0(W0_262,W2_263))
| ~ aNaturalNumber0(W0_262) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_15138,plain,
( ( sdtsldt0(sdtasdt0(xl,'#skF_3'),xl) = '#skF_3' )
| ~ aNaturalNumber0('#skF_3')
| ( xl = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,'#skF_3'))
| ~ aNaturalNumber0(xl) ),
inference(resolution,[status(thm)],[c_155,c_14994]) ).
tff(c_15274,plain,
( ( xq = '#skF_3' )
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_671,c_127,c_154,c_15138]) ).
tff(c_15275,plain,
xq = '#skF_3',
inference(negUnitSimplification,[status(thm)],[c_135,c_15274]) ).
tff(c_131,plain,
sdtasdt0(xl,'#skF_4') = xm,
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_133,plain,
aNaturalNumber0('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_141,plain,
aNaturalNumber0(xp),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_139,plain,
sdtasdt0(xl,xp) = xm,
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_7922,plain,
! [W0_208,W2_209,W1_210] :
( ( sdtasdt0(W0_208,W2_209) != sdtasdt0(W0_208,W1_210) )
| ( W2_209 = W1_210 )
| ~ aNaturalNumber0(W2_209)
| ~ aNaturalNumber0(W1_210)
| ( sz00 = W0_208 )
| ~ aNaturalNumber0(W0_208) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_8078,plain,
! [W2_209] :
( ( sdtasdt0(xl,W2_209) != xm )
| ( xp = W2_209 )
| ~ aNaturalNumber0(W2_209)
| ~ aNaturalNumber0(xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_7922]) ).
tff(c_8297,plain,
! [W2_209] :
( ( sdtasdt0(xl,W2_209) != xm )
| ( xp = W2_209 )
| ~ aNaturalNumber0(W2_209)
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_141,c_8078]) ).
tff(c_12659,plain,
! [W2_246] :
( ( sdtasdt0(xl,W2_246) != xm )
| ( xp = W2_246 )
| ~ aNaturalNumber0(W2_246) ),
inference(negUnitSimplification,[status(thm)],[c_135,c_8297]) ).
tff(c_12707,plain,
( ( sdtasdt0(xl,'#skF_4') != xm )
| ( xp = '#skF_4' ) ),
inference(resolution,[status(thm)],[c_133,c_12659]) ).
tff(c_12746,plain,
xp = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_131,c_12707]) ).
tff(c_70,plain,
! [W1_50,W0_49] :
( sdtlseqdt0(W1_50,W0_49)
| sdtlseqdt0(W0_49,W1_50)
| ~ aNaturalNumber0(W1_50)
| ~ aNaturalNumber0(W0_49) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_5183,plain,
! [W0_168,W1_169] :
( ( sdtpldt0(W0_168,'#skF_1'(W0_168,W1_169)) = W1_169 )
| ~ sdtlseqdt0(W0_168,W1_169)
| ~ aNaturalNumber0(W1_169)
| ~ aNaturalNumber0(W0_168) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_2892,plain,
! [W0_124,W1_125] :
( aNaturalNumber0('#skF_1'(W0_124,W1_125))
| ~ sdtlseqdt0(W0_124,W1_125)
| ~ aNaturalNumber0(W1_125)
| ~ aNaturalNumber0(W0_124) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_151,plain,
! [W0_80] :
( ( sdtpldt0(xp,W0_80) != xq )
| ~ aNaturalNumber0(W0_80) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_2933,plain,
! [W0_124,W1_125] :
( ( sdtpldt0(xp,'#skF_1'(W0_124,W1_125)) != xq )
| ~ sdtlseqdt0(W0_124,W1_125)
| ~ aNaturalNumber0(W1_125)
| ~ aNaturalNumber0(W0_124) ),
inference(resolution,[status(thm)],[c_2892,c_151]) ).
tff(c_5193,plain,
! [W1_169] :
( ( xq != W1_169 )
| ~ sdtlseqdt0(xp,W1_169)
| ~ aNaturalNumber0(W1_169)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,W1_169)
| ~ aNaturalNumber0(W1_169)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_5183,c_2933]) ).
tff(c_5236,plain,
! [W1_170] :
( ( xq != W1_170 )
| ~ sdtlseqdt0(xp,W1_170)
| ~ aNaturalNumber0(W1_170) ),
inference(demodulation,[status(thm),theory(equality)],[c_141,c_141,c_5193]) ).
tff(c_5255,plain,
! [W1_50] :
( ( xq != W1_50 )
| sdtlseqdt0(W1_50,xp)
| ~ aNaturalNumber0(W1_50)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_70,c_5236]) ).
tff(c_5274,plain,
! [W1_50] :
( ( xq != W1_50 )
| sdtlseqdt0(W1_50,xp)
| ~ aNaturalNumber0(W1_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_141,c_5255]) ).
tff(c_12797,plain,
! [W1_50] :
( ( xq != W1_50 )
| sdtlseqdt0(W1_50,'#skF_4')
| ~ aNaturalNumber0(W1_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_12746,c_5274]) ).
tff(c_36955,plain,
! [W1_50] :
( ( W1_50 != '#skF_3' )
| sdtlseqdt0(W1_50,'#skF_4')
| ~ aNaturalNumber0(W1_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_15275,c_12797]) ).
tff(c_340,plain,
! [W0_85] :
( ( sdtpldt0(W0_85,sz00) = W0_85 )
| ~ aNaturalNumber0(W0_85) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_370,plain,
sdtpldt0(xp,sz00) = xp,
inference(resolution,[status(thm)],[c_141,c_340]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_206,plain,
! [W0_83] :
( ( sdtpldt0(xp,W0_83) != xq )
| ~ aNaturalNumber0(W0_83) ),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_241,plain,
sdtpldt0(xp,sz00) != xq,
inference(resolution,[status(thm)],[c_4,c_206]) ).
tff(c_1070,plain,
xq != xp,
inference(demodulation,[status(thm),theory(equality)],[c_370,c_241]) ).
tff(c_12822,plain,
xq != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_12746,c_1070]) ).
tff(c_15300,plain,
'#skF_3' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_15275,c_12822]) ).
tff(c_1555,plain,
! [W1_102,W0_103] :
( ( sdtasdt0(W1_102,W0_103) = sdtasdt0(W0_103,W1_102) )
| ~ aNaturalNumber0(W1_102)
| ~ aNaturalNumber0(W0_103) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1597,plain,
! [W0_103] :
( ( sdtasdt0(xq,W0_103) = sdtasdt0(W0_103,xq) )
| ~ aNaturalNumber0(W0_103) ),
inference(resolution,[status(thm)],[c_147,c_1555]) ).
tff(c_17202,plain,
! [W0_276] :
( ( sdtasdt0(W0_276,'#skF_3') = sdtasdt0('#skF_3',W0_276) )
| ~ aNaturalNumber0(W0_276) ),
inference(demodulation,[status(thm),theory(equality)],[c_15275,c_15275,c_1597]) ).
tff(c_17283,plain,
sdtasdt0(xl,'#skF_3') = sdtasdt0('#skF_3',xl),
inference(resolution,[status(thm)],[c_121,c_17202]) ).
tff(c_12728,plain,
( ( sdtasdt0(xl,xq) != xm )
| ( xq = xp ) ),
inference(resolution,[status(thm)],[c_147,c_12659]) ).
tff(c_12761,plain,
( ( sdtasdt0(xl,'#skF_3') != xm )
| ( xq = xp ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153,c_12728]) ).
tff(c_12762,plain,
sdtasdt0(xl,'#skF_3') != xm,
inference(negUnitSimplification,[status(thm)],[c_1070,c_12761]) ).
tff(c_17632,plain,
sdtasdt0('#skF_3',xl) != xm,
inference(demodulation,[status(thm),theory(equality)],[c_17283,c_12762]) ).
tff(c_17639,plain,
aNaturalNumber0(sdtasdt0('#skF_3',xl)),
inference(demodulation,[status(thm),theory(equality)],[c_17283,c_671]) ).
tff(c_119,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_117,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_4933,plain,
! [W0_164,W2_165] :
( sdtlseqdt0(W0_164,sdtpldt0(W0_164,W2_165))
| ~ aNaturalNumber0(W2_165)
| ~ aNaturalNumber0(sdtpldt0(W0_164,W2_165))
| ~ aNaturalNumber0(W0_164) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_5007,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,'#skF_3'))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_4933]) ).
tff(c_5061,plain,
sdtlseqdt0(xm,sdtasdt0(xl,'#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_119,c_671,c_125,c_117,c_5007]) ).
tff(c_17635,plain,
sdtlseqdt0(xm,sdtasdt0('#skF_3',xl)),
inference(demodulation,[status(thm),theory(equality)],[c_17283,c_5061]) ).
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_17834,plain,
( ( sdtasdt0('#skF_3',xl) = xm )
| ~ sdtlseqdt0(sdtasdt0('#skF_3',xl),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0('#skF_3',xl)) ),
inference(resolution,[status(thm)],[c_17635,c_66]) ).
tff(c_17844,plain,
( ( sdtasdt0('#skF_3',xl) = xm )
| ~ sdtlseqdt0(sdtasdt0('#skF_3',xl),xm) ),
inference(demodulation,[status(thm),theory(equality)],[c_17639,c_119,c_17834]) ).
tff(c_17845,plain,
~ sdtlseqdt0(sdtasdt0('#skF_3',xl),xm),
inference(negUnitSimplification,[status(thm)],[c_17632,c_17844]) ).
tff(c_13754,plain,
! [W0_256,W1_257,W2_258] :
( sdtlseqdt0(sdtasdt0(W0_256,W1_257),sdtasdt0(W0_256,W2_258))
| ~ sdtlseqdt0(W1_257,W2_258)
| ( W2_258 = W1_257 )
| ( sz00 = W0_256 )
| ~ aNaturalNumber0(W2_258)
| ~ aNaturalNumber0(W1_257)
| ~ aNaturalNumber0(W0_256) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_14043,plain,
! [W1_257] :
( sdtlseqdt0(sdtasdt0(xl,W1_257),xm)
| ~ sdtlseqdt0(W1_257,'#skF_4')
| ( W1_257 = '#skF_4' )
| ( xl = sz00 )
| ~ aNaturalNumber0('#skF_4')
| ~ aNaturalNumber0(W1_257)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_13754]) ).
tff(c_14309,plain,
! [W1_257] :
( sdtlseqdt0(sdtasdt0(xl,W1_257),xm)
| ~ sdtlseqdt0(W1_257,'#skF_4')
| ( W1_257 = '#skF_4' )
| ( xl = sz00 )
| ~ aNaturalNumber0(W1_257) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_133,c_14043]) ).
tff(c_39321,plain,
! [W1_366] :
( sdtlseqdt0(sdtasdt0(xl,W1_366),xm)
| ~ sdtlseqdt0(W1_366,'#skF_4')
| ( W1_366 = '#skF_4' )
| ~ aNaturalNumber0(W1_366) ),
inference(negUnitSimplification,[status(thm)],[c_135,c_14309]) ).
tff(c_39343,plain,
( sdtlseqdt0(sdtasdt0('#skF_3',xl),xm)
| ~ sdtlseqdt0('#skF_3','#skF_4')
| ( '#skF_3' = '#skF_4' )
| ~ aNaturalNumber0('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_17283,c_39321]) ).
tff(c_39377,plain,
( sdtlseqdt0(sdtasdt0('#skF_3',xl),xm)
| ~ sdtlseqdt0('#skF_3','#skF_4')
| ( '#skF_3' = '#skF_4' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127,c_39343]) ).
tff(c_39378,plain,
~ sdtlseqdt0('#skF_3','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_15300,c_17845,c_39377]) ).
tff(c_39395,plain,
~ aNaturalNumber0('#skF_3'),
inference(resolution,[status(thm)],[c_36955,c_39378]) ).
tff(c_39405,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_39395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n003.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 14:30:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 20.23/9.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.28/9.13
% 20.28/9.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.41/9.16
% 20.41/9.16 Inference rules
% 20.41/9.16 ----------------------
% 20.41/9.16 #Ref : 5
% 20.41/9.16 #Sup : 8037
% 20.41/9.16 #Fact : 2
% 20.41/9.16 #Define : 0
% 20.41/9.16 #Split : 31
% 20.41/9.16 #Chain : 0
% 20.41/9.16 #Close : 0
% 20.41/9.16
% 20.41/9.16 Ordering : KBO
% 20.41/9.16
% 20.41/9.16 Simplification rules
% 20.41/9.16 ----------------------
% 20.41/9.16 #Subsume : 957
% 20.41/9.16 #Demod : 16058
% 20.41/9.16 #Tautology : 2688
% 20.41/9.16 #SimpNegUnit : 1214
% 20.41/9.16 #BackRed : 885
% 20.41/9.16
% 20.41/9.16 #Partial instantiations: 0
% 20.41/9.16 #Strategies tried : 1
% 20.41/9.16
% 20.41/9.16 Timing (in seconds)
% 20.41/9.16 ----------------------
% 20.41/9.17 Preprocessing : 0.65
% 20.41/9.17 Parsing : 0.33
% 20.41/9.17 CNF conversion : 0.05
% 20.41/9.17 Main loop : 7.56
% 20.41/9.17 Inferencing : 1.13
% 20.41/9.17 Reduction : 4.35
% 20.41/9.17 Demodulation : 3.69
% 20.41/9.17 BG Simplification : 0.11
% 20.41/9.17 Subsumption : 1.45
% 20.41/9.17 Abstraction : 0.12
% 20.41/9.17 MUC search : 0.00
% 20.41/9.17 Cooper : 0.00
% 20.41/9.17 Total : 8.27
% 20.41/9.17 Index Insertion : 0.00
% 20.41/9.17 Index Deletion : 0.00
% 20.41/9.17 Index Matching : 0.00
% 20.41/9.17 BG Taut test : 0.00
%------------------------------------------------------------------------------