TSTP Solution File: NUM493+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM493+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/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 : n032.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 10:51:52 EDT 2023
% Result : Timeout 296.22s 250.55s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 38
% Syntax : Number of formulae : 121 ( 37 unt; 19 typ; 2 def)
% Number of atoms : 326 ( 70 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 395 ( 171 ~; 178 |; 26 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 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 : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 91 (; 90 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xp > xn > xm > sz10 > sz00 > #skF_4 > #skF_3 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
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_448,hypothesis,
( ( xr != xn )
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1894) ).
tff(f_423,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
tff(f_53,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
tff(f_443,hypothesis,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
tff(f_444,hypothesis,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
tff(f_175,definition,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
=> ! [W2] :
( ( W2 = sdtmndt0(W1,W0) )
<=> ( aNaturalNumber0(W2)
& ( sdtpldt0(W0,W2) = W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_115,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2) )
| ( sdtpldt0(W1,W0) = sdtpldt0(W2,W0) ) )
=> ( W1 = W2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
tff(f_41,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
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_453,negated_conjecture,
~ ( doDivides0(xp,xr)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_31,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
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_61,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
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_449,hypothesis,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1913) ).
tff(f_296,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( ( W0 != W1 )
& sdtlseqdt0(W0,W1) )
=> iLess0(W0,W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
tff(f_442,hypothesis,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
tff(f_439,hypothesis,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( isPrime0(W2)
& doDivides0(W2,sdtasdt0(W0,W1)) )
=> ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(W2,W0)
| doDivides0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
tff(f_234,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( ( W0 != W1 )
& sdtlseqdt0(W0,W1) )
=> ! [W2] :
( aNaturalNumber0(W2)
=> ( ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1) )
& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
& ( sdtpldt0(W0,W2) != sdtpldt0(W1,W2) )
& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
tff(c_161,plain,
xr != xn,
inference(cnfTransformation,[status(thm)],[f_448]) ).
tff(c_147,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_143,plain,
aNaturalNumber0(xp),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_635,plain,
! [W1_114,W0_115] :
( ( sdtpldt0(W1_114,W0_115) = sdtpldt0(W0_115,W1_114) )
| ~ aNaturalNumber0(W1_114)
| ~ aNaturalNumber0(W0_115) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1081,plain,
! [W0_126] :
( ( sdtpldt0(xp,W0_126) = sdtpldt0(W0_126,xp) )
| ~ aNaturalNumber0(W0_126) ),
inference(resolution,[status(thm)],[c_143,c_635]) ).
tff(c_1121,plain,
sdtpldt0(xp,xn) = sdtpldt0(xn,xp),
inference(resolution,[status(thm)],[c_147,c_1081]) ).
tff(c_155,plain,
sdtlseqdt0(xp,xn),
inference(cnfTransformation,[status(thm)],[f_443]) ).
tff(c_157,plain,
sdtmndt0(xn,xp) = xr,
inference(cnfTransformation,[status(thm)],[f_444]) ).
tff(c_1647,plain,
! [W1_134,W0_135] :
( aNaturalNumber0(sdtmndt0(W1_134,W0_135))
| ~ sdtlseqdt0(W0_135,W1_134)
| ~ aNaturalNumber0(W1_134)
| ~ aNaturalNumber0(W0_135) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_1684,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_1647]) ).
tff(c_1698,plain,
aNaturalNumber0(xr),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_147,c_155,c_1684]) ).
tff(c_3887,plain,
! [W0_176,W1_177] :
( ( sdtpldt0(W0_176,sdtmndt0(W1_177,W0_176)) = W1_177 )
| ~ sdtlseqdt0(W0_176,W1_177)
| ~ aNaturalNumber0(W1_177)
| ~ aNaturalNumber0(W0_176) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_3906,plain,
( ( sdtpldt0(xp,xr) = xn )
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_157,c_3887]) ).
tff(c_3910,plain,
sdtpldt0(xp,xr) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_143,c_147,c_155,c_3906]) ).
tff(c_40,plain,
! [W0_22,W2_24,W1_23] :
( ( sdtpldt0(W0_22,W2_24) != sdtpldt0(W0_22,W1_23) )
| ( W2_24 = W1_23 )
| ~ aNaturalNumber0(W2_24)
| ~ aNaturalNumber0(W1_23)
| ~ aNaturalNumber0(W0_22) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_4333,plain,
! [W1_23] :
( ( sdtpldt0(xp,W1_23) != xn )
| ( xr = W1_23 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(W1_23)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_3910,c_40]) ).
tff(c_27551,plain,
! [W1_327] :
( ( sdtpldt0(xp,W1_327) != xn )
| ( xr = W1_327 )
| ~ aNaturalNumber0(W1_327) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_1698,c_4333]) ).
tff(c_27629,plain,
( ( sdtpldt0(xp,xn) != xn )
| ( xr = xn ) ),
inference(resolution,[status(thm)],[c_147,c_27551]) ).
tff(c_27671,plain,
( ( sdtpldt0(xn,xp) != xn )
| ( xr = xn ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1121,c_27629]) ).
tff(c_27672,plain,
sdtpldt0(xn,xp) != xn,
inference(negUnitSimplification,[status(thm)],[c_161,c_27671]) ).
tff(c_145,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_423]) ).
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_1135,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_1121,c_10]) ).
tff(c_1143,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_147,c_1135]) ).
tff(c_12231,plain,
! [W0_245] :
( ( sdtpldt0(xn,W0_245) = sdtpldt0(W0_245,xn) )
| ~ aNaturalNumber0(W0_245) ),
inference(resolution,[status(thm)],[c_147,c_635]) ).
tff(c_12329,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[status(thm)],[c_145,c_12231]) ).
tff(c_12522,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_12329,c_10]) ).
tff(c_12558,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_145,c_12522]) ).
tff(c_52,plain,
! [W0_34,W2_38] :
( sdtlseqdt0(W0_34,sdtpldt0(W0_34,W2_38))
| ~ aNaturalNumber0(W2_38)
| ~ aNaturalNumber0(sdtpldt0(W0_34,W2_38))
| ~ aNaturalNumber0(W0_34) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_8038,plain,
! [W0_225,W2_226] :
( ( sdtmndt0(sdtpldt0(W0_225,W2_226),W0_225) = W2_226 )
| ~ aNaturalNumber0(W2_226)
| ~ sdtlseqdt0(W0_225,sdtpldt0(W0_225,W2_226))
| ~ aNaturalNumber0(sdtpldt0(W0_225,W2_226))
| ~ aNaturalNumber0(W0_225) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_28801,plain,
! [W0_335,W2_336] :
( ( sdtmndt0(sdtpldt0(W0_335,W2_336),W0_335) = W2_336 )
| ~ aNaturalNumber0(W2_336)
| ~ aNaturalNumber0(sdtpldt0(W0_335,W2_336))
| ~ aNaturalNumber0(W0_335) ),
inference(resolution,[status(thm)],[c_52,c_8038]) ).
tff(c_28829,plain,
( ( sdtmndt0(sdtpldt0(xm,xn),xm) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[c_12558,c_28801]) ).
tff(c_28927,plain,
sdtmndt0(sdtpldt0(xm,xn),xm) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_147,c_28829]) ).
tff(c_165,plain,
~ doDivides0(xp,xm),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_4,plain,
aNaturalNumber0(sz00),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_315,plain,
! [W0_103] :
( ( sdtpldt0(sz00,W0_103) = W0_103 )
| ~ aNaturalNumber0(W0_103) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_331,plain,
sdtpldt0(sz00,xn) = xn,
inference(resolution,[status(thm)],[c_147,c_315]) ).
tff(c_18,plain,
! [W0_11] :
( ( sdtpldt0(sz00,W0_11) = W0_11 )
| ~ aNaturalNumber0(W0_11) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1186,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(resolution,[status(thm)],[c_1143,c_18]) ).
tff(c_5623,plain,
! [W0_201,W1_202,W2_203] :
( ( sdtpldt0(sdtpldt0(W0_201,W1_202),W2_203) = sdtpldt0(W0_201,sdtpldt0(W1_202,W2_203)) )
| ~ aNaturalNumber0(W2_203)
| ~ aNaturalNumber0(W1_202)
| ~ aNaturalNumber0(W0_201) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_92839,plain,
! [W0_621,W1_622,W2_623] :
( sdtlseqdt0(sdtpldt0(W0_621,W1_622),sdtpldt0(W0_621,sdtpldt0(W1_622,W2_623)))
| ~ aNaturalNumber0(W2_623)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(W0_621,W1_622),W2_623))
| ~ aNaturalNumber0(sdtpldt0(W0_621,W1_622))
| ~ aNaturalNumber0(W2_623)
| ~ aNaturalNumber0(W1_622)
| ~ aNaturalNumber0(W0_621) ),
inference(superposition,[status(thm),theory(equality)],[c_5623,c_52]) ).
tff(c_93107,plain,
( sdtlseqdt0(sdtpldt0(sz00,xn),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xn),xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_1186,c_92839]) ).
tff(c_93608,plain,
sdtlseqdt0(xn,sdtpldt0(xn,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_147,c_143,c_147,c_331,c_1143,c_331,c_143,c_331,c_93107]) ).
tff(c_16,plain,
! [W0_8,W1_9,W2_10] :
( ( sdtpldt0(sdtpldt0(W0_8,W1_9),W2_10) = sdtpldt0(W0_8,sdtpldt0(W1_9,W2_10)) )
| ~ aNaturalNumber0(W2_10)
| ~ aNaturalNumber0(W1_9)
| ~ aNaturalNumber0(W0_8) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_610,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_13725,plain,
! [W0_248] :
( ( sdtasdt0(xm,W0_248) = sdtasdt0(W0_248,xm) )
| ~ aNaturalNumber0(W0_248) ),
inference(resolution,[status(thm)],[c_145,c_610]) ).
tff(c_13820,plain,
sdtasdt0(xr,xm) = sdtasdt0(xm,xr),
inference(resolution,[status(thm)],[c_1698,c_13725]) ).
tff(c_163,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_13843,plain,
doDivides0(xp,sdtasdt0(xm,xr)),
inference(demodulation,[status(thm),theory(equality)],[c_13820,c_163]) ).
tff(c_3610,plain,
! [W0_170,W2_171] :
( sdtlseqdt0(W0_170,sdtpldt0(W0_170,W2_171))
| ~ aNaturalNumber0(W2_171)
| ~ aNaturalNumber0(sdtpldt0(W0_170,W2_171))
| ~ aNaturalNumber0(W0_170) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_99,plain,
! [W0_63,W1_64] :
( iLess0(W0_63,W1_64)
| ~ sdtlseqdt0(W0_63,W1_64)
| ( W1_64 = W0_63 )
| ~ aNaturalNumber0(W1_64)
| ~ aNaturalNumber0(W0_63) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_3658,plain,
! [W0_170,W2_171] :
( iLess0(W0_170,sdtpldt0(W0_170,W2_171))
| ( sdtpldt0(W0_170,W2_171) = W0_170 )
| ~ aNaturalNumber0(W2_171)
| ~ aNaturalNumber0(sdtpldt0(W0_170,W2_171))
| ~ aNaturalNumber0(W0_170) ),
inference(resolution,[status(thm)],[c_3610,c_99]) ).
tff(c_167,plain,
~ doDivides0(xp,xr),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_153,plain,
isPrime0(xp),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_657,plain,
! [W0_115] :
( ( sdtpldt0(xp,W0_115) = sdtpldt0(W0_115,xp) )
| ~ aNaturalNumber0(W0_115) ),
inference(resolution,[status(thm)],[c_143,c_635]) ).
tff(c_1733,plain,
sdtpldt0(xr,xp) = sdtpldt0(xp,xr),
inference(resolution,[status(thm)],[c_1698,c_657]) ).
tff(c_7108,plain,
sdtpldt0(xr,xp) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_3910,c_1733]) ).
tff(c_9872,plain,
! [W2_238,W1_239,W0_240] :
( doDivides0(W2_238,W1_239)
| doDivides0(W2_238,W0_240)
| ~ iLess0(sdtpldt0(sdtpldt0(W0_240,W1_239),W2_238),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(W2_238,sdtasdt0(W0_240,W1_239))
| ~ isPrime0(W2_238)
| ~ aNaturalNumber0(W2_238)
| ~ aNaturalNumber0(W1_239)
| ~ aNaturalNumber0(W0_240) ),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_9887,plain,
! [W2_10,W1_9,W0_8] :
( doDivides0(W2_10,W1_9)
| doDivides0(W2_10,W0_8)
| ~ iLess0(sdtpldt0(W0_8,sdtpldt0(W1_9,W2_10)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(W2_10,sdtasdt0(W0_8,W1_9))
| ~ isPrime0(W2_10)
| ~ aNaturalNumber0(W2_10)
| ~ aNaturalNumber0(W1_9)
| ~ aNaturalNumber0(W0_8)
| ~ aNaturalNumber0(W2_10)
| ~ aNaturalNumber0(W1_9)
| ~ aNaturalNumber0(W0_8) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_9872]) ).
tff(c_271588,plain,
! [W2_1013,W1_1014,W0_1015] :
( doDivides0(W2_1013,W1_1014)
| doDivides0(W2_1013,W0_1015)
| ~ iLess0(sdtpldt0(W0_1015,sdtpldt0(W1_1014,W2_1013)),sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ doDivides0(W2_1013,sdtasdt0(W0_1015,W1_1014))
| ~ isPrime0(W2_1013)
| ~ aNaturalNumber0(W2_1013)
| ~ aNaturalNumber0(W1_1014)
| ~ aNaturalNumber0(W0_1015)
| ~ aNaturalNumber0(W2_1013)
| ~ aNaturalNumber0(W1_1014)
| ~ aNaturalNumber0(W0_1015) ),
inference(demodulation,[status(thm),theory(equality)],[c_12329,c_9887]) ).
tff(c_272029,plain,
! [W0_1015] :
( doDivides0(xp,xr)
| doDivides0(xp,W0_1015)
| ~ iLess0(sdtpldt0(W0_1015,xn),sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ doDivides0(xp,sdtasdt0(W0_1015,xr))
| ~ isPrime0(xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(W0_1015)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(W0_1015) ),
inference(superposition,[status(thm),theory(equality)],[c_7108,c_271588]) ).
tff(c_272285,plain,
! [W0_1015] :
( doDivides0(xp,xr)
| doDivides0(xp,W0_1015)
| ~ iLess0(sdtpldt0(W0_1015,xn),sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ doDivides0(xp,sdtasdt0(W0_1015,xr))
| ~ aNaturalNumber0(W0_1015) ),
inference(demodulation,[status(thm),theory(equality)],[c_1698,c_143,c_1698,c_143,c_153,c_272029]) ).
tff(c_272342,plain,
! [W0_1016] :
( doDivides0(xp,W0_1016)
| ~ iLess0(sdtpldt0(W0_1016,xn),sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ doDivides0(xp,sdtasdt0(W0_1016,xr))
| ~ aNaturalNumber0(W0_1016) ),
inference(negUnitSimplification,[status(thm)],[c_167,c_272285]) ).
tff(c_272397,plain,
( doDivides0(xp,xm)
| ~ doDivides0(xp,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[status(thm)],[c_3658,c_272342]) ).
tff(c_272462,plain,
( doDivides0(xp,xm)
| ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12558,c_143,c_145,c_13843,c_272397]) ).
tff(c_272463,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp)) ),
inference(negUnitSimplification,[status(thm)],[c_165,c_272462]) ).
tff(c_277068,plain,
~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp)),
inference(splitLeft,[status(thm)],[c_272463]) ).
tff(c_277077,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[status(thm)],[c_10,c_277068]) ).
tff(c_277085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12558,c_143,c_277077]) ).
tff(c_277087,plain,
aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),xp)),
inference(splitRight,[status(thm)],[c_272463]) ).
tff(c_277313,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_277087]) ).
tff(c_277403,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xp))),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_147,c_143,c_277313]) ).
tff(c_7175,plain,
! [W2_219,W0_220,W1_221] :
( sdtlseqdt0(sdtpldt0(W2_219,W0_220),sdtpldt0(W2_219,W1_221))
| ~ aNaturalNumber0(W2_219)
| ~ sdtlseqdt0(W0_220,W1_221)
| ( W1_221 = W0_220 )
| ~ aNaturalNumber0(W1_221)
| ~ aNaturalNumber0(W0_220) ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_7304,plain,
! [W2_219,W0_220,W1_221] :
( iLess0(sdtpldt0(W2_219,W0_220),sdtpldt0(W2_219,W1_221))
| ( sdtpldt0(W2_219,W1_221) = sdtpldt0(W2_219,W0_220) )
| ~ aNaturalNumber0(sdtpldt0(W2_219,W1_221))
| ~ aNaturalNumber0(sdtpldt0(W2_219,W0_220))
| ~ aNaturalNumber0(W2_219)
| ~ sdtlseqdt0(W0_220,W1_221)
| ( W1_221 = W0_220 )
| ~ aNaturalNumber0(W1_221)
| ~ aNaturalNumber0(W0_220) ),
inference(resolution,[status(thm)],[c_7175,c_99]) ).
tff(c_272425,plain,
! [W0_1016] :
( doDivides0(xp,W0_1016)
| ~ iLess0(sdtpldt0(W0_1016,xn),sdtpldt0(xm,sdtpldt0(xn,xp)))
| ~ doDivides0(xp,sdtasdt0(W0_1016,xr))
| ~ aNaturalNumber0(W0_1016)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_272342]) ).
tff(c_362568,plain,
! [W0_1124] :
( doDivides0(xp,W0_1124)
| ~ iLess0(sdtpldt0(W0_1124,xn),sdtpldt0(xm,sdtpldt0(xn,xp)))
| ~ doDivides0(xp,sdtasdt0(W0_1124,xr))
| ~ aNaturalNumber0(W0_1124) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_147,c_143,c_272425]) ).
tff(c_362586,plain,
( doDivides0(xp,xm)
| ~ doDivides0(xp,sdtasdt0(xm,xr))
| ( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_7304,c_362568]) ).
tff(c_362665,plain,
( doDivides0(xp,xm)
| ( sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn) )
| ( sdtpldt0(xn,xp) = xn ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_1143,c_93608,c_145,c_12558,c_277403,c_13843,c_362586]) ).
tff(c_362666,plain,
sdtpldt0(xm,sdtpldt0(xn,xp)) = sdtpldt0(xm,xn),
inference(negUnitSimplification,[status(thm)],[c_27672,c_165,c_362665]) ).
tff(c_28975,plain,
! [W0_2,W1_3] :
( ( sdtmndt0(sdtpldt0(W0_2,W1_3),W0_2) = W1_3 )
| ~ aNaturalNumber0(W1_3)
| ~ aNaturalNumber0(W0_2) ),
inference(resolution,[status(thm)],[c_10,c_28801]) ).
tff(c_364082,plain,
( ( sdtmndt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_362666,c_28975]) ).
tff(c_364343,plain,
sdtpldt0(xn,xp) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_145,c_1143,c_28927,c_364082]) ).
tff(c_364345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27672,c_364343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM493+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 3 15:25:51 EDT 2023
% 0.11/0.31 % CPUTime :
% 296.22/250.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 296.22/250.57
% 296.22/250.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 296.22/250.61
% 296.22/250.61 Inference rules
% 296.22/250.61 ----------------------
% 296.22/250.61 #Ref : 9
% 296.22/250.61 #Sup : 76947
% 296.22/250.61 #Fact : 14
% 296.22/250.61 #Define : 0
% 296.22/250.61 #Split : 55
% 296.22/250.61 #Chain : 0
% 296.22/250.61 #Close : 0
% 296.22/250.61
% 296.22/250.61 Ordering : KBO
% 296.22/250.61
% 296.22/250.61 Simplification rules
% 296.22/250.61 ----------------------
% 296.22/250.61 #Subsume : 8286
% 296.22/250.61 #Demod : 153721
% 296.22/250.61 #Tautology : 15583
% 296.22/250.61 #SimpNegUnit : 10868
% 296.22/250.61 #BackRed : 607
% 296.22/250.61
% 296.22/250.61 #Partial instantiations: 0
% 296.22/250.61 #Strategies tried : 1
% 296.22/250.61
% 296.22/250.61 Timing (in seconds)
% 296.22/250.61 ----------------------
% 296.22/250.61 Preprocessing : 0.68
% 296.22/250.61 Parsing : 0.34
% 296.22/250.61 CNF conversion : 0.05
% 296.22/250.61 Main loop : 248.86
% 296.22/250.61 Inferencing : 11.42
% 296.22/250.61 Reduction : 166.78
% 296.22/250.61 Demodulation : 143.46
% 296.22/250.61 BG Simplification : 0.84
% 296.22/250.61 Subsumption : 55.66
% 296.22/250.61 Abstraction : 1.40
% 296.22/250.61 MUC search : 0.00
% 296.22/250.61 Cooper : 0.00
% 296.22/250.61 Total : 249.60
% 296.22/250.61 Index Insertion : 0.00
% 296.22/250.61 Index Deletion : 0.00
% 296.22/250.61 Index Matching : 0.00
% 296.22/250.61 BG Taut test : 0.00
%------------------------------------------------------------------------------