TSTP Solution File: NUM471+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM471+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 : n021.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 114.11s 96.87s
% Output : CNFRefutation 114.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of formulae : 99 ( 33 unt; 17 typ; 2 def)
% Number of atoms : 245 ( 81 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 270 ( 107 ~; 119 |; 25 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 59 (; 58 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xq > xp > xn > xm > xl > sz10 > sz00 > #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(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
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_361,negated_conjecture,
~ sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_357,hypothesis,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
tff(f_352,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
tff(f_355,hypothesis,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
tff(f_358,hypothesis,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
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_53,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(f_41,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
tff(f_359,hypothesis,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
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_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_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_296,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( ( W0 != W1 )
& sdtlseqdt0(W0,W1) )
=> iLess0(W0,W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
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/sandbox/benchmark/theBenchmark.p',mMonMul) ).
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_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(c_133,plain,
~ sdtlseqdt0(xp,xq),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_127,plain,
xl != sz00,
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_121,plain,
aNaturalNumber0(xl),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_119,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_125,plain,
doDivides0(xl,xm),
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_129,plain,
sdtsldt0(xm,xl) = xp,
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_5427,plain,
! [W1_218,W0_219] :
( aNaturalNumber0(sdtsldt0(W1_218,W0_219))
| ~ doDivides0(W0_219,W1_218)
| ( sz00 = W0_219 )
| ~ aNaturalNumber0(W1_218)
| ~ aNaturalNumber0(W0_219) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_5464,plain,
( aNaturalNumber0(xp)
| ~ doDivides0(xl,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_5427]) ).
tff(c_5480,plain,
( aNaturalNumber0(xp)
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_119,c_125,c_5464]) ).
tff(c_5481,plain,
aNaturalNumber0(xp),
inference(negUnitSimplification,[status(thm)],[c_127,c_5480]) ).
tff(c_117,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_567,plain,
! [W1_94,W0_95] :
( ( sdtpldt0(W1_94,W0_95) = sdtpldt0(W0_95,W1_94) )
| ~ aNaturalNumber0(W1_94)
| ~ aNaturalNumber0(W0_95) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_666,plain,
! [W0_99] :
( ( sdtpldt0(xm,W0_99) = sdtpldt0(W0_99,xm) )
| ~ aNaturalNumber0(W0_99) ),
inference(resolution,[status(thm)],[c_119,c_567]) ).
tff(c_694,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[status(thm)],[c_117,c_666]) ).
tff(c_10,plain,
! [W0_2,W1_3] :
( aNaturalNumber0(sdtpldt0(W0_2,W1_3))
| ~ aNaturalNumber0(W1_3)
| ~ aNaturalNumber0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_800,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_694,c_10]) ).
tff(c_808,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_119,c_800]) ).
tff(c_123,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_131,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_5461,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ( xl = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_5427]) ).
tff(c_5477,plain,
( aNaturalNumber0(xq)
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_808,c_123,c_5461]) ).
tff(c_5478,plain,
aNaturalNumber0(xq),
inference(negUnitSimplification,[status(thm)],[c_127,c_5477]) ).
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_20,plain,
! [W0_11] :
( ( sdtpldt0(W0_11,sz00) = W0_11 )
| ~ aNaturalNumber0(W0_11) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_5519,plain,
sdtpldt0(xp,sz00) = xp,
inference(resolution,[status(thm)],[c_5481,c_20]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_5808,plain,
! [W0_224,W2_225] :
( sdtlseqdt0(W0_224,sdtpldt0(W0_224,W2_225))
| ~ aNaturalNumber0(W2_225)
| ~ aNaturalNumber0(sdtpldt0(W0_224,W2_225))
| ~ aNaturalNumber0(W0_224) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_5819,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sz00))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_5519,c_5808]) ).
tff(c_5864,plain,
sdtlseqdt0(xp,xp),
inference(demodulation,[status(thm),theory(equality)],[c_5481,c_5481,c_5519,c_4,c_5819]) ).
tff(c_5313,plain,
! [W0_216,W1_217] :
( iLess0(W0_216,W1_217)
| ~ sdtlseqdt0(W0_216,W1_217)
| ( W1_217 = W0_216 )
| ~ aNaturalNumber0(W1_217)
| ~ aNaturalNumber0(W0_216) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_25094,plain,
! [W1_323,W0_324] :
( iLess0(W1_323,W0_324)
| ( W1_323 = W0_324 )
| sdtlseqdt0(W0_324,W1_323)
| ~ aNaturalNumber0(W1_323)
| ~ aNaturalNumber0(W0_324) ),
inference(resolution,[status(thm)],[c_70,c_5313]) ).
tff(c_25151,plain,
( iLess0(xq,xp)
| ( xq = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_25094,c_133]) ).
tff(c_25213,plain,
( iLess0(xq,xp)
| ( xq = xp ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5481,c_5478,c_25151]) ).
tff(c_25214,plain,
xq = xp,
inference(splitLeft,[status(thm)],[c_25213]) ).
tff(c_25289,plain,
~ sdtlseqdt0(xp,xp),
inference(demodulation,[status(thm),theory(equality)],[c_25214,c_133]) ).
tff(c_25356,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5864,c_25289]) ).
tff(c_25358,plain,
xq != xp,
inference(splitRight,[status(thm)],[c_25213]) ).
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_10582,plain,
! [W0_282,W1_283,W2_284] :
( sdtlseqdt0(sdtasdt0(W0_282,W1_283),sdtasdt0(W0_282,W2_284))
| ~ sdtlseqdt0(W1_283,W2_284)
| ( W2_284 = W1_283 )
| ( sz00 = W0_282 )
| ~ aNaturalNumber0(W2_284)
| ~ aNaturalNumber0(W1_283)
| ~ aNaturalNumber0(W0_282) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_188791,plain,
! [W0_1019,W1_1020,W1_1021] :
( sdtlseqdt0(sdtasdt0(W0_1019,W1_1020),W1_1021)
| ~ sdtlseqdt0(W1_1020,sdtsldt0(W1_1021,W0_1019))
| ( sdtsldt0(W1_1021,W0_1019) = W1_1020 )
| ( sz00 = W0_1019 )
| ~ aNaturalNumber0(sdtsldt0(W1_1021,W0_1019))
| ~ aNaturalNumber0(W1_1020)
| ~ aNaturalNumber0(W0_1019)
| ~ doDivides0(W0_1019,W1_1021)
| ( sz00 = W0_1019 )
| ~ aNaturalNumber0(W1_1021)
| ~ aNaturalNumber0(W0_1019) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_10582]) ).
tff(c_6296,plain,
! [W0_236,W1_237] :
( ( sdtasdt0(W0_236,sdtsldt0(W1_237,W0_236)) = W1_237 )
| ~ doDivides0(W0_236,W1_237)
| ( sz00 = W0_236 )
| ~ aNaturalNumber0(W1_237)
| ~ aNaturalNumber0(W0_236) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_6319,plain,
( ( sdtasdt0(xl,xp) = xm )
| ~ doDivides0(xl,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_129,c_6296]) ).
tff(c_6326,plain,
( ( sdtasdt0(xl,xp) = xm )
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_119,c_125,c_6319]) ).
tff(c_6327,plain,
sdtasdt0(xl,xp) = xm,
inference(negUnitSimplification,[status(thm)],[c_127,c_6326]) ).
tff(c_7045,plain,
! [W0_250,W2_251,W1_252] :
( ( sdtasdt0(W0_250,W2_251) != sdtasdt0(W0_250,W1_252) )
| ( W2_251 = W1_252 )
| ~ aNaturalNumber0(W2_251)
| ~ aNaturalNumber0(W1_252)
| ( sz00 = W0_250 )
| ~ aNaturalNumber0(W0_250) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_7063,plain,
! [W1_252] :
( ( sdtasdt0(xl,W1_252) != xm )
| ( xp = W1_252 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(W1_252)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_6327,c_7045]) ).
tff(c_7189,plain,
! [W1_252] :
( ( sdtasdt0(xl,W1_252) != xm )
| ( xp = W1_252 )
| ~ aNaturalNumber0(W1_252)
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_5481,c_7063]) ).
tff(c_26304,plain,
! [W1_328] :
( ( sdtasdt0(xl,W1_328) != xm )
| ( xp = W1_328 )
| ~ aNaturalNumber0(W1_328) ),
inference(negUnitSimplification,[status(thm)],[c_127,c_7189]) ).
tff(c_26361,plain,
( ( sdtasdt0(xl,xq) != xm )
| ( xq = xp ) ),
inference(resolution,[status(thm)],[c_5478,c_26304]) ).
tff(c_26427,plain,
sdtasdt0(xl,xq) != xm,
inference(negUnitSimplification,[status(thm)],[c_25358,c_26361]) ).
tff(c_6316,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ( xl = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_6296]) ).
tff(c_6323,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_808,c_123,c_6316]) ).
tff(c_6324,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(negUnitSimplification,[status(thm)],[c_127,c_6323]) ).
tff(c_13023,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(demodulation,[status(thm),theory(equality)],[c_6324,c_808]) ).
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_44207,plain,
! [W0_422,W2_423] :
( ( sdtpldt0(W0_422,W2_423) = W0_422 )
| ~ sdtlseqdt0(sdtpldt0(W0_422,W2_423),W0_422)
| ~ aNaturalNumber0(W2_423)
| ~ aNaturalNumber0(sdtpldt0(W0_422,W2_423))
| ~ aNaturalNumber0(W0_422) ),
inference(resolution,[status(thm)],[c_5808,c_66]) ).
tff(c_44289,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_6324,c_44207]) ).
tff(c_44418,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(demodulation,[status(thm),theory(equality)],[c_119,c_13023,c_6324,c_117,c_6324,c_44289]) ).
tff(c_44419,plain,
~ sdtlseqdt0(sdtasdt0(xl,xq),xm),
inference(negUnitSimplification,[status(thm)],[c_26427,c_44418]) ).
tff(c_188934,plain,
( ~ sdtlseqdt0(xq,sdtsldt0(xm,xl))
| ( sdtsldt0(xm,xl) = xq )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xq)
| ~ doDivides0(xl,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[status(thm)],[c_188791,c_44419]) ).
tff(c_189584,plain,
( ~ sdtlseqdt0(xq,xp)
| ( xq = xp )
| ( xl = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_119,c_125,c_5478,c_5481,c_129,c_129,c_129,c_188934]) ).
tff(c_189585,plain,
~ sdtlseqdt0(xq,xp),
inference(negUnitSimplification,[status(thm)],[c_127,c_25358,c_189584]) ).
tff(c_190004,plain,
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_70,c_189585]) ).
tff(c_190020,plain,
sdtlseqdt0(xp,xq),
inference(demodulation,[status(thm),theory(equality)],[c_5481,c_5478,c_190004]) ).
tff(c_190022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133,c_190020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 14:39:21 EDT 2023
% 0.14/0.34 % CPUTime :
% 114.11/96.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.11/96.88
% 114.11/96.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 114.11/96.92
% 114.11/96.92 Inference rules
% 114.11/96.92 ----------------------
% 114.11/96.92 #Ref : 10
% 114.11/96.92 #Sup : 40604
% 114.11/96.92 #Fact : 28
% 114.11/96.92 #Define : 0
% 114.11/96.92 #Split : 50
% 114.11/96.92 #Chain : 0
% 114.11/96.92 #Close : 0
% 114.11/96.92
% 114.11/96.92 Ordering : KBO
% 114.11/96.92
% 114.11/96.92 Simplification rules
% 114.11/96.92 ----------------------
% 114.11/96.92 #Subsume : 4366
% 114.11/96.92 #Demod : 87346
% 114.11/96.92 #Tautology : 8865
% 114.11/96.92 #SimpNegUnit : 6422
% 114.11/96.92 #BackRed : 622
% 114.11/96.92
% 114.11/96.92 #Partial instantiations: 0
% 114.11/96.92 #Strategies tried : 1
% 114.11/96.92
% 114.11/96.92 Timing (in seconds)
% 114.11/96.92 ----------------------
% 114.11/96.92 Preprocessing : 0.67
% 114.11/96.92 Parsing : 0.34
% 114.11/96.92 CNF conversion : 0.05
% 114.11/96.92 Main loop : 95.12
% 114.11/96.92 Inferencing : 5.99
% 114.11/96.92 Reduction : 65.46
% 114.11/96.92 Demodulation : 55.50
% 114.11/96.93 BG Simplification : 0.44
% 114.11/96.93 Subsumption : 20.71
% 114.11/96.93 Abstraction : 0.75
% 114.11/96.93 MUC search : 0.00
% 114.11/96.93 Cooper : 0.00
% 114.11/96.93 Total : 95.87
% 114.11/96.93 Index Insertion : 0.00
% 114.11/96.93 Index Deletion : 0.00
% 114.11/96.93 Index Matching : 0.00
% 114.11/96.93 BG Taut test : 0.00
%------------------------------------------------------------------------------