TSTP Solution File: NUM503+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM503+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 : n022.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 10:51:54 EDT 2023
% Result : Theorem 31.04s 18.79s
% Output : CNFRefutation 31.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 47
% Syntax : Number of formulae : 313 ( 144 unt; 20 typ; 4 def)
% Number of atoms : 683 ( 246 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 685 ( 295 ~; 309 |; 47 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 128 (; 126 !; 2 ?; 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_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_423,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
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_442,hypothesis,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
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_455,hypothesis,
( ( xn != xp )
& sdtlseqdt0(xn,xp)
& ( xm != xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
tff(f_465,hypothesis,
( ( xk != sz00 )
& ( xk != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
tff(f_474,hypothesis,
sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2389) ).
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_47,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
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_93,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtasdt0(W0,sz00) = sz00 )
& ( sz00 = sdtasdt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
tff(f_484,negated_conjecture,
~ ( ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ( sdtasdt0(xp,xm) != sdtasdt0(xp,xk) )
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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_456,hypothesis,
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_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_201,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
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_67,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
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_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_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_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(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_193,plain,
~ isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_135]) ).
tff(c_143,plain,
aNaturalNumber0(xp),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_8,plain,
aNaturalNumber0(sz10),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_89177,plain,
! [W0_762] :
( ( sdtasdt0(sz10,W0_762) = W0_762 )
| ~ aNaturalNumber0(W0_762) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_89199,plain,
sdtasdt0(sz10,xp) = xp,
inference(resolution,[status(thm)],[c_143,c_89177]) ).
tff(c_103327,plain,
! [W1_944,W0_945] :
( sdtlseqdt0(W1_944,sdtasdt0(W1_944,W0_945))
| ( sz00 = W0_945 )
| ~ aNaturalNumber0(W1_944)
| ~ aNaturalNumber0(W0_945) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_103447,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_89199,c_103327]) ).
tff(c_103561,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_8,c_103447]) ).
tff(c_113827,plain,
xp = sz00,
inference(splitLeft,[status(thm)],[c_103561]) ).
tff(c_153,plain,
isPrime0(xp),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_113876,plain,
isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_113827,c_153]) ).
tff(c_113914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193,c_113876]) ).
tff(c_113916,plain,
xp != sz00,
inference(splitRight,[status(thm)],[c_103561]) ).
tff(c_145,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_101416,plain,
! [W1_921,W0_922] :
( ( sdtasdt0(W1_921,W0_922) = sdtasdt0(W0_922,W1_921) )
| ~ aNaturalNumber0(W1_921)
| ~ aNaturalNumber0(W0_922) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_102697,plain,
! [W0_939] :
( ( sdtasdt0(xp,W0_939) = sdtasdt0(W0_939,xp) )
| ~ aNaturalNumber0(W0_939) ),
inference(resolution,[status(thm)],[c_143,c_101416]) ).
tff(c_102784,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(resolution,[status(thm)],[c_145,c_102697]) ).
tff(c_165,plain,
xp != xn,
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_147,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_89906,plain,
! [W1_780,W0_781] :
( ( sdtasdt0(W1_780,W0_781) = sdtasdt0(W0_781,W1_780) )
| ~ aNaturalNumber0(W1_780)
| ~ aNaturalNumber0(W0_781) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_90362,plain,
! [W0_788] :
( ( sdtasdt0(xn,W0_788) = sdtasdt0(W0_788,xn) )
| ~ aNaturalNumber0(W0_788) ),
inference(resolution,[status(thm)],[c_147,c_89906]) ).
tff(c_90417,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_145,c_90362]) ).
tff(c_175,plain,
xk != sz00,
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_13376,plain,
! [W0_234] :
( ( sdtasdt0(sz10,W0_234) = W0_234 )
| ~ aNaturalNumber0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_13398,plain,
sdtasdt0(sz10,xp) = xp,
inference(resolution,[status(thm)],[c_143,c_13376]) ).
tff(c_19906,plain,
! [W1_324,W0_325] :
( sdtlseqdt0(W1_324,sdtasdt0(W1_324,W0_325))
| ( sz00 = W0_325 )
| ~ aNaturalNumber0(W1_324)
| ~ aNaturalNumber0(W0_325) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_19975,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_13398,c_19906]) ).
tff(c_20067,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_8,c_19975]) ).
tff(c_20173,plain,
xp = sz00,
inference(splitLeft,[status(thm)],[c_20067]) ).
tff(c_20212,plain,
isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_20173,c_153]) ).
tff(c_20240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193,c_20212]) ).
tff(c_20242,plain,
xp != sz00,
inference(splitRight,[status(thm)],[c_20067]) ).
tff(c_187,plain,
sdtlseqdt0(xp,xk),
inference(cnfTransformation,[status(thm)],[f_474]) ).
tff(c_33001,plain,
! [W0_480,W1_481] :
( iLess0(W0_480,W1_481)
| ~ sdtlseqdt0(W0_480,W1_481)
| ( W1_481 = W0_480 )
| ~ aNaturalNumber0(W1_481)
| ~ aNaturalNumber0(W0_480) ),
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_33058,plain,
( iLess0(xp,xk)
| ( xp = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_187,c_33001]) ).
tff(c_33125,plain,
( iLess0(xp,xk)
| ( xp = xk )
| ~ aNaturalNumber0(xk) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_33058]) ).
tff(c_33794,plain,
~ aNaturalNumber0(xk),
inference(splitLeft,[status(thm)],[c_33125]) ).
tff(c_12,plain,
! [W0_4,W1_5] :
( aNaturalNumber0(sdtasdt0(W0_4,W1_5))
| ~ aNaturalNumber0(W1_5)
| ~ aNaturalNumber0(W0_4) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_13928,plain,
! [W1_250,W0_251] :
( sdtlseqdt0(W1_250,W0_251)
| sdtlseqdt0(W0_251,W1_250)
| ~ aNaturalNumber0(W1_250)
| ~ aNaturalNumber0(W0_251) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_6,plain,
sz10 != sz00,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_196,plain,
! [W0_99] :
( ( sdtasdt0(W0_99,sz10) = W0_99 )
| ~ aNaturalNumber0(W0_99) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_219,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(resolution,[status(thm)],[c_4,c_196]) ).
tff(c_1728,plain,
! [W1_133,W0_134] :
( sdtlseqdt0(W1_133,sdtasdt0(W1_133,W0_134))
| ( sz00 = W0_134 )
| ~ aNaturalNumber0(W1_133)
| ~ aNaturalNumber0(W0_134) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_1806,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_219,c_1728]) ).
tff(c_1881,plain,
( sdtlseqdt0(sz00,sz00)
| ( sz10 = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_1806]) ).
tff(c_1882,plain,
sdtlseqdt0(sz00,sz00),
inference(negUnitSimplification,[status(thm)],[c_6,c_1881]) ).
tff(c_370,plain,
! [W0_103] :
( ( sdtasdt0(W0_103,sz00) = sz00 )
| ~ aNaturalNumber0(W0_103) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_392,plain,
sdtasdt0(xp,sz00) = sz00,
inference(resolution,[status(thm)],[c_143,c_370]) ).
tff(c_390,plain,
sdtasdt0(xn,sz00) = sz00,
inference(resolution,[status(thm)],[c_147,c_370]) ).
tff(c_416,plain,
! [W0_104] :
( ( sdtasdt0(sz10,W0_104) = W0_104 )
| ~ aNaturalNumber0(W0_104) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_438,plain,
sdtasdt0(sz10,xm) = xm,
inference(resolution,[status(thm)],[c_145,c_416]) ).
tff(c_1764,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_438,c_1728]) ).
tff(c_1846,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_8,c_1764]) ).
tff(c_2367,plain,
xm = sz00,
inference(splitLeft,[status(thm)],[c_1846]) ).
tff(c_189,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_194,plain,
~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(splitLeft,[status(thm)],[c_189]) ).
tff(c_2388,plain,
~ sdtlseqdt0(sdtasdt0(xn,sz00),sdtasdt0(xp,sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_2367,c_2367,c_194]) ).
tff(c_2412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1882,c_392,c_390,c_2388]) ).
tff(c_2414,plain,
xm != sz00,
inference(splitRight,[status(thm)],[c_1846]) ).
tff(c_163,plain,
sdtlseqdt0(xn,xp),
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_12809,plain,
! [W1_226,W0_227,W2_228] :
( sdtlseqdt0(sdtasdt0(W1_226,W0_227),sdtasdt0(W2_228,W0_227))
| ~ sdtlseqdt0(W1_226,W2_228)
| ( W2_228 = W1_226 )
| ( sz00 = W0_227 )
| ~ aNaturalNumber0(W2_228)
| ~ aNaturalNumber0(W1_226)
| ~ aNaturalNumber0(W0_227) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_12819,plain,
( ~ sdtlseqdt0(xn,xp)
| ( xp = xn )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[c_12809,c_194]) ).
tff(c_13203,plain,
( ( xp = xn )
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_147,c_143,c_163,c_12819]) ).
tff(c_13205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2414,c_165,c_13203]) ).
tff(c_13206,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) )
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ) ),
inference(splitRight,[status(thm)],[c_189]) ).
tff(c_13208,plain,
~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(splitLeft,[status(thm)],[c_13206]) ).
tff(c_13954,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(resolution,[status(thm)],[c_13928,c_13208]) ).
tff(c_14010,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(splitLeft,[status(thm)],[c_13954]) ).
tff(c_14013,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_12,c_14010]) ).
tff(c_14017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143,c_145,c_14013]) ).
tff(c_14019,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(splitRight,[status(thm)],[c_13954]) ).
tff(c_13207,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(splitRight,[status(thm)],[c_189]) ).
tff(c_33067,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_13207,c_33001]) ).
tff(c_33135,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14019,c_33067]) ).
tff(c_33317,plain,
~ aNaturalNumber0(sdtasdt0(xn,xm)),
inference(splitLeft,[status(thm)],[c_33135]) ).
tff(c_33320,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_12,c_33317]) ).
tff(c_33324,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147,c_145,c_33320]) ).
tff(c_33326,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(splitRight,[status(thm)],[c_33135]) ).
tff(c_151,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_167,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_34958,plain,
! [W1_496,W0_497] :
( aNaturalNumber0(sdtsldt0(W1_496,W0_497))
| ~ doDivides0(W0_497,W1_496)
| ( sz00 = W0_497 )
| ~ aNaturalNumber0(W1_496)
| ~ aNaturalNumber0(W0_497) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_34998,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_34958]) ).
tff(c_35013,plain,
( aNaturalNumber0(xk)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_33326,c_151,c_34998]) ).
tff(c_35015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20242,c_33794,c_35013]) ).
tff(c_35017,plain,
aNaturalNumber0(xk),
inference(splitRight,[status(thm)],[c_33125]) ).
tff(c_14100,plain,
! [W1_252,W0_253] :
( ( sdtasdt0(W1_252,W0_253) = sdtasdt0(W0_253,W1_252) )
| ~ aNaturalNumber0(W1_252)
| ~ aNaturalNumber0(W0_253) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_68762,plain,
! [W0_633] :
( ( sdtasdt0(xp,W0_633) = sdtasdt0(W0_633,xp) )
| ~ aNaturalNumber0(W0_633) ),
inference(resolution,[status(thm)],[c_143,c_14100]) ).
tff(c_68890,plain,
sdtasdt0(xp,xk) = sdtasdt0(xk,xp),
inference(resolution,[status(thm)],[c_35017,c_68762]) ).
tff(c_52198,plain,
! [W0_594] :
( ( sdtasdt0(xm,W0_594) = sdtasdt0(W0_594,xm) )
| ~ aNaturalNumber0(W0_594) ),
inference(resolution,[status(thm)],[c_145,c_14100]) ).
tff(c_52387,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_147,c_52198]) ).
tff(c_38357,plain,
! [W0_527,W1_528] :
( ( sdtasdt0(W0_527,sdtsldt0(W1_528,W0_527)) = W1_528 )
| ~ doDivides0(W0_527,W1_528)
| ( sz00 = W0_527 )
| ~ aNaturalNumber0(W1_528)
| ~ aNaturalNumber0(W0_527) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_38377,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xn,xm) )
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_38357]) ).
tff(c_38381,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xn,xm) )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_33326,c_151,c_38377]) ).
tff(c_38382,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(negUnitSimplification,[status(thm)],[c_20242,c_38381]) ).
tff(c_53588,plain,
sdtasdt0(xp,xk) = sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_38382]) ).
tff(c_75756,plain,
sdtasdt0(xm,xn) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_68890,c_53588]) ).
tff(c_28,plain,
! [W0_17] :
( ( sdtasdt0(W0_17,sz10) = W0_17 )
| ~ aNaturalNumber0(W0_17) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_35053,plain,
sdtasdt0(xk,sz10) = xk,
inference(resolution,[status(thm)],[c_35017,c_28]) ).
tff(c_37167,plain,
! [W0_517,W2_518] :
( doDivides0(W0_517,sdtasdt0(W0_517,W2_518))
| ~ aNaturalNumber0(W2_518)
| ~ aNaturalNumber0(sdtasdt0(W0_517,W2_518))
| ~ aNaturalNumber0(W0_517) ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_37194,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sz10))
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm),theory(equality)],[c_35053,c_37167]) ).
tff(c_37350,plain,
doDivides0(xk,xk),
inference(demodulation,[status(thm),theory(equality)],[c_35017,c_35017,c_35053,c_8,c_37194]) ).
tff(c_159,plain,
sdtlseqdt0(xm,xp),
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_38427,plain,
! [W0_529,W2_530,W1_531] :
( sdtlseqdt0(W0_529,W2_530)
| ~ sdtlseqdt0(W1_531,W2_530)
| ~ sdtlseqdt0(W0_529,W1_531)
| ~ aNaturalNumber0(W2_530)
| ~ aNaturalNumber0(W1_531)
| ~ aNaturalNumber0(W0_529) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_38505,plain,
! [W0_529] :
( sdtlseqdt0(W0_529,xk)
| ~ sdtlseqdt0(W0_529,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(W0_529) ),
inference(resolution,[status(thm)],[c_187,c_38427]) ).
tff(c_54039,plain,
! [W0_598] :
( sdtlseqdt0(W0_598,xk)
| ~ sdtlseqdt0(W0_598,xp)
| ~ aNaturalNumber0(W0_598) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_35017,c_38505]) ).
tff(c_54080,plain,
( sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[c_159,c_54039]) ).
tff(c_54114,plain,
sdtlseqdt0(xm,xk),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_54080]) ).
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_54137,plain,
( iLess0(xm,xk)
| ( xm = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[c_54114,c_99]) ).
tff(c_54146,plain,
( iLess0(xm,xk)
| ( xm = xk ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_35017,c_54137]) ).
tff(c_54296,plain,
xm = xk,
inference(splitLeft,[status(thm)],[c_54146]) ).
tff(c_13413,plain,
! [W0_235] :
( ( sdtasdt0(W0_235,sz00) = sz00 )
| ~ aNaturalNumber0(W0_235) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_13436,plain,
sdtasdt0(xp,sz00) = sz00,
inference(resolution,[status(thm)],[c_143,c_13413]) ).
tff(c_13397,plain,
sdtasdt0(sz10,xm) = xm,
inference(resolution,[status(thm)],[c_145,c_13376]) ).
tff(c_19960,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_13397,c_19906]) ).
tff(c_20053,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_8,c_19960]) ).
tff(c_30597,plain,
xm = sz00,
inference(splitLeft,[status(thm)],[c_20053]) ).
tff(c_30624,plain,
~ sdtlseqdt0(sdtasdt0(xp,sz00),sdtasdt0(xp,xk)),
inference(demodulation,[status(thm),theory(equality)],[c_30597,c_13208]) ).
tff(c_30658,plain,
~ sdtlseqdt0(sz00,sdtasdt0(xp,xk)),
inference(demodulation,[status(thm),theory(equality)],[c_13436,c_30624]) ).
tff(c_14709,plain,
! [W1_260,W0_261] :
( sdtlseqdt0(W1_260,sdtasdt0(W1_260,W0_261))
| ( sz00 = W0_261 )
| ~ aNaturalNumber0(W1_260)
| ~ aNaturalNumber0(W0_261) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_14784,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_13398,c_14709]) ).
tff(c_14883,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_8,c_14784]) ).
tff(c_17601,plain,
xp = sz00,
inference(splitLeft,[status(thm)],[c_14883]) ).
tff(c_17639,plain,
isPrime0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_17601,c_153]) ).
tff(c_17668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193,c_17639]) ).
tff(c_17670,plain,
xp != sz00,
inference(splitRight,[status(thm)],[c_14883]) ).
tff(c_13947,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(resolution,[status(thm)],[c_13928,c_13208]) ).
tff(c_14181,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14019,c_13947]) ).
tff(c_14182,plain,
~ aNaturalNumber0(sdtasdt0(xp,xk)),
inference(splitLeft,[status(thm)],[c_14181]) ).
tff(c_14185,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_12,c_14182]) ).
tff(c_14188,plain,
~ aNaturalNumber0(xk),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_14185]) ).
tff(c_18252,plain,
! [W1_306,W0_307] :
( ( W1_306 = W0_307 )
| ~ sdtlseqdt0(W1_306,W0_307)
| ~ sdtlseqdt0(W0_307,W1_306)
| ~ aNaturalNumber0(W1_306)
| ~ aNaturalNumber0(W0_307) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_18296,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(resolution,[status(thm)],[c_13207,c_18252]) ).
tff(c_18364,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14019,c_18296]) ).
tff(c_18383,plain,
~ aNaturalNumber0(sdtasdt0(xn,xm)),
inference(splitLeft,[status(thm)],[c_18364]) ).
tff(c_18386,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_12,c_18383]) ).
tff(c_18390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_147,c_145,c_18386]) ).
tff(c_18392,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(splitRight,[status(thm)],[c_18364]) ).
tff(c_19324,plain,
! [W1_316,W0_317] :
( aNaturalNumber0(sdtsldt0(W1_316,W0_317))
| ~ doDivides0(W0_317,W1_316)
| ( sz00 = W0_317 )
| ~ aNaturalNumber0(W1_316)
| ~ aNaturalNumber0(W0_317) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_19361,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_167,c_19324]) ).
tff(c_19375,plain,
( aNaturalNumber0(xk)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_18392,c_151,c_19361]) ).
tff(c_19377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17670,c_14188,c_19375]) ).
tff(c_19379,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(splitRight,[status(thm)],[c_14181]) ).
tff(c_18,plain,
! [W0_11] :
( ( sdtpldt0(sz00,W0_11) = W0_11 )
| ~ aNaturalNumber0(W0_11) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_19412,plain,
sdtpldt0(sz00,sdtasdt0(xp,xk)) = sdtasdt0(xp,xk),
inference(resolution,[status(thm)],[c_19379,c_18]) ).
tff(c_32597,plain,
! [W0_475,W2_476] :
( sdtlseqdt0(W0_475,sdtpldt0(W0_475,W2_476))
| ~ aNaturalNumber0(W2_476)
| ~ aNaturalNumber0(sdtpldt0(W0_475,W2_476))
| ~ aNaturalNumber0(W0_475) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_32629,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xk)))
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_19412,c_32597]) ).
tff(c_32675,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xk)),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_19379,c_19412,c_19379,c_32629]) ).
tff(c_32677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30658,c_32675]) ).
tff(c_32679,plain,
xm != sz00,
inference(splitRight,[status(thm)],[c_20053]) ).
tff(c_119,plain,
! [W0_83,W1_84] :
( sdtlseqdt0(W0_83,W1_84)
| ( sz00 = W1_84 )
| ~ doDivides0(W0_83,W1_84)
| ~ aNaturalNumber0(W1_84)
| ~ aNaturalNumber0(W0_83) ),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_38509,plain,
! [W0_529] :
( sdtlseqdt0(W0_529,xp)
| ~ sdtlseqdt0(W0_529,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(W0_529) ),
inference(resolution,[status(thm)],[c_159,c_38427]) ).
tff(c_40836,plain,
! [W0_549] :
( sdtlseqdt0(W0_549,xp)
| ~ sdtlseqdt0(W0_549,xm)
| ~ aNaturalNumber0(W0_549) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_143,c_38509]) ).
tff(c_35142,plain,
! [W1_498,W0_499] :
( ( W1_498 = W0_499 )
| ~ sdtlseqdt0(W1_498,W0_499)
| ~ sdtlseqdt0(W0_499,W1_498)
| ~ aNaturalNumber0(W1_498)
| ~ aNaturalNumber0(W0_499) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_35184,plain,
( ( xp = xk )
| ~ sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[c_187,c_35142]) ).
tff(c_35257,plain,
( ( xp = xk )
| ~ sdtlseqdt0(xk,xp) ),
inference(demodulation,[status(thm),theory(equality)],[c_35017,c_143,c_35184]) ).
tff(c_35711,plain,
~ sdtlseqdt0(xk,xp),
inference(splitLeft,[status(thm)],[c_35257]) ).
tff(c_40846,plain,
( ~ sdtlseqdt0(xk,xm)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[c_40836,c_35711]) ).
tff(c_40863,plain,
~ sdtlseqdt0(xk,xm),
inference(demodulation,[status(thm),theory(equality)],[c_35017,c_40846]) ).
tff(c_40872,plain,
( ( xm = sz00 )
| ~ doDivides0(xk,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[c_119,c_40863]) ).
tff(c_40877,plain,
( ( xm = sz00 )
| ~ doDivides0(xk,xm) ),
inference(demodulation,[status(thm),theory(equality)],[c_35017,c_145,c_40872]) ).
tff(c_40878,plain,
~ doDivides0(xk,xm),
inference(negUnitSimplification,[status(thm)],[c_32679,c_40877]) ).
tff(c_54389,plain,
~ doDivides0(xk,xk),
inference(demodulation,[status(thm),theory(equality)],[c_54296,c_40878]) ).
tff(c_54452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37350,c_54389]) ).
tff(c_54454,plain,
xm != xk,
inference(splitRight,[status(thm)],[c_54146]) ).
tff(c_69399,plain,
( aNaturalNumber0(sdtasdt0(xk,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_68890,c_12]) ).
tff(c_69450,plain,
aNaturalNumber0(sdtasdt0(xk,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_35017,c_69399]) ).
tff(c_69574,plain,
sdtasdt0(xm,xn) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_68890,c_53588]) ).
tff(c_52390,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(resolution,[status(thm)],[c_143,c_52198]) ).
tff(c_52750,plain,
aNaturalNumber0(sdtasdt0(xm,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_52390,c_14019]) ).
tff(c_52751,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_52390,c_13207]) ).
tff(c_52977,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_52751,c_99]) ).
tff(c_52986,plain,
( iLess0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))
| ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33326,c_52750,c_52977]) ).
tff(c_69010,plain,
( iLess0(sdtasdt0(xm,xn),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = sdtasdt0(xm,xn) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_52387,c_52986]) ).
tff(c_69011,plain,
sdtasdt0(xm,xp) = sdtasdt0(xm,xn),
inference(splitLeft,[status(thm)],[c_69010]) ).
tff(c_71964,plain,
sdtasdt0(xm,xp) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_69574,c_69011]) ).
tff(c_71989,plain,
sdtasdt0(xp,xm) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_71964,c_52390]) ).
tff(c_53607,plain,
doDivides0(xp,sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_151]) ).
tff(c_69585,plain,
doDivides0(xp,sdtasdt0(xk,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_69574,c_53607]) ).
tff(c_53606,plain,
sdtsldt0(sdtasdt0(xm,xn),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_167]) ).
tff(c_70153,plain,
sdtsldt0(sdtasdt0(xk,xp),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_69574,c_53606]) ).
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_75199,plain,
( ( sdtsldt0(sdtasdt0(xp,xm),xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xp,sdtasdt0(xk,xp))
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_71989,c_107]) ).
tff(c_75256,plain,
( ( xm = xk )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_69450,c_71989,c_69585,c_145,c_70153,c_71989,c_75199]) ).
tff(c_75258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20242,c_54454,c_75256]) ).
tff(c_75260,plain,
sdtasdt0(xm,xp) != sdtasdt0(xm,xn),
inference(splitRight,[status(thm)],[c_69010]) ).
tff(c_79724,plain,
sdtasdt0(xm,xp) != sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_75756,c_75260]) ).
tff(c_82,plain,
! [W1_56,W0_55,W2_57] :
( sdtlseqdt0(sdtasdt0(W1_56,W0_55),sdtasdt0(W2_57,W0_55))
| ~ sdtlseqdt0(W1_56,W2_57)
| ( W2_57 = W1_56 )
| ( sz00 = W0_55 )
| ~ aNaturalNumber0(W2_57)
| ~ aNaturalNumber0(W1_56)
| ~ aNaturalNumber0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_54715,plain,
! [W0_601] :
( ( sdtasdt0(xp,W0_601) = sdtasdt0(W0_601,xp) )
| ~ aNaturalNumber0(W0_601) ),
inference(resolution,[status(thm)],[c_143,c_14100]) ).
tff(c_54843,plain,
sdtasdt0(xp,xk) = sdtasdt0(xk,xp),
inference(resolution,[status(thm)],[c_35017,c_54715]) ).
tff(c_61788,plain,
sdtasdt0(xm,xn) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_54843,c_53588]) ).
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_52974,plain,
( ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(resolution,[status(thm)],[c_52751,c_66]) ).
tff(c_52983,plain,
( ( sdtasdt0(xn,xm) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_52750,c_33326,c_52974]) ).
tff(c_54455,plain,
( ( sdtasdt0(xm,xp) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_52387,c_52387,c_52983]) ).
tff(c_54456,plain,
~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xn)),
inference(splitLeft,[status(thm)],[c_54455]) ).
tff(c_68484,plain,
~ sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xk,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_61788,c_54456]) ).
tff(c_68487,plain,
( ~ sdtlseqdt0(xm,xk)
| ( xm = xk )
| ( xp = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[status(thm)],[c_82,c_68484]) ).
tff(c_68499,plain,
( ( xm = xk )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_145,c_35017,c_54114,c_68487]) ).
tff(c_68501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20242,c_54454,c_68499]) ).
tff(c_68502,plain,
sdtasdt0(xm,xp) = sdtasdt0(xm,xn),
inference(splitRight,[status(thm)],[c_54455]) ).
tff(c_80708,plain,
sdtasdt0(xm,xp) = sdtasdt0(xk,xp),
inference(demodulation,[status(thm),theory(equality)],[c_75756,c_68502]) ).
tff(c_80709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79724,c_80708]) ).
tff(c_80710,plain,
xp = xk,
inference(splitRight,[status(thm)],[c_35257]) ).
tff(c_161,plain,
xp != xm,
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_80769,plain,
xm != xk,
inference(demodulation,[status(thm),theory(equality)],[c_80710,c_161]) ).
tff(c_80765,plain,
sdtlseqdt0(xm,xk),
inference(demodulation,[status(thm),theory(equality)],[c_80710,c_159]) ).
tff(c_88880,plain,
! [W0_757,W1_758,W2_759] :
( sdtlseqdt0(sdtasdt0(W0_757,W1_758),sdtasdt0(W0_757,W2_759))
| ~ sdtlseqdt0(W1_758,W2_759)
| ( W2_759 = W1_758 )
| ( sz00 = W0_757 )
| ~ aNaturalNumber0(W2_759)
| ~ aNaturalNumber0(W1_758)
| ~ aNaturalNumber0(W0_757) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_80760,plain,
~ sdtlseqdt0(sdtasdt0(xk,xm),sdtasdt0(xk,xk)),
inference(demodulation,[status(thm),theory(equality)],[c_80710,c_80710,c_13208]) ).
tff(c_88885,plain,
( ~ sdtlseqdt0(xm,xk)
| ( xm = xk )
| ( xk = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[status(thm)],[c_88880,c_80760]) ).
tff(c_89134,plain,
( ( xm = xk )
| ( xk = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35017,c_145,c_80765,c_88885]) ).
tff(c_89136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175,c_80769,c_89134]) ).
tff(c_89137,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ) ),
inference(splitRight,[status(thm)],[c_13206]) ).
tff(c_89215,plain,
sdtasdt0(xp,xm) = sdtasdt0(xn,xm),
inference(splitLeft,[status(thm)],[c_89137]) ).
tff(c_90458,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_90417,c_89215]) ).
tff(c_91779,plain,
! [W1_802,W0_803] :
( sdtlseqdt0(W1_802,sdtasdt0(W1_802,W0_803))
| ( sz00 = W0_803 )
| ~ aNaturalNumber0(W1_802)
| ~ aNaturalNumber0(W0_803) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_91821,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_90458,c_91779]) ).
tff(c_91952,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xn))
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_143,c_91821]) ).
tff(c_92030,plain,
xm = sz00,
inference(splitLeft,[status(thm)],[c_91952]) ).
tff(c_92067,plain,
xp != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_92030,c_161]) ).
tff(c_89295,plain,
! [W0_764] :
( ( sdtasdt0(sz00,W0_764) = sz00 )
| ~ aNaturalNumber0(W0_764) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_89315,plain,
sdtasdt0(sz00,xn) = sz00,
inference(resolution,[status(thm)],[c_147,c_89295]) ).
tff(c_90459,plain,
doDivides0(xp,sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_90417,c_151]) ).
tff(c_92051,plain,
doDivides0(xp,sdtasdt0(sz00,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_92030,c_90459]) ).
tff(c_92087,plain,
doDivides0(xp,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_89315,c_92051]) ).
tff(c_90457,plain,
sdtsldt0(sdtasdt0(xm,xn),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_90417,c_167]) ).
tff(c_92049,plain,
sdtsldt0(sdtasdt0(sz00,xn),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_92030,c_90457]) ).
tff(c_92085,plain,
sdtsldt0(sz00,xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_89315,c_92049]) ).
tff(c_92708,plain,
! [W1_813,W0_814] :
( aNaturalNumber0(sdtsldt0(W1_813,W0_814))
| ~ doDivides0(W0_814,W1_813)
| ( sz00 = W0_814 )
| ~ aNaturalNumber0(W1_813)
| ~ aNaturalNumber0(W0_814) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_92751,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sz00)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_92085,c_92708]) ).
tff(c_92767,plain,
( aNaturalNumber0(xk)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_4,c_92087,c_92751]) ).
tff(c_92768,plain,
aNaturalNumber0(xk),
inference(negUnitSimplification,[status(thm)],[c_92067,c_92767]) ).
tff(c_94316,plain,
! [W0_836,W1_837] :
( ( sdtasdt0(W0_836,sdtsldt0(W1_837,W0_836)) = W1_837 )
| ~ doDivides0(W0_836,W1_837)
| ( sz00 = W0_836 )
| ~ aNaturalNumber0(W1_837)
| ~ aNaturalNumber0(W0_836) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_94336,plain,
( ( sdtasdt0(xp,xk) = sz00 )
| ~ doDivides0(xp,sz00)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_92085,c_94316]) ).
tff(c_94340,plain,
( ( sdtasdt0(xp,xk) = sz00 )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_4,c_92087,c_94336]) ).
tff(c_94341,plain,
sdtasdt0(xp,xk) = sz00,
inference(negUnitSimplification,[status(thm)],[c_92067,c_94340]) ).
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_94349,plain,
( ( xk = sz00 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_94341,c_50]) ).
tff(c_94362,plain,
( ( xk = sz00 )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_92768,c_94349]) ).
tff(c_94364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92067,c_175,c_94362]) ).
tff(c_94366,plain,
xm != sz00,
inference(splitRight,[status(thm)],[c_91952]) ).
tff(c_100038,plain,
! [W2_902,W0_903,W1_904] :
( ( sdtasdt0(W2_902,W0_903) != sdtasdt0(W1_904,W0_903) )
| ( W2_902 = W1_904 )
| ~ aNaturalNumber0(W2_902)
| ~ aNaturalNumber0(W1_904)
| ( sz00 = W0_903 )
| ~ aNaturalNumber0(W0_903) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_100144,plain,
! [W1_904] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_904,xm) )
| ( xp = W1_904 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(W1_904)
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm),theory(equality)],[c_90458,c_100038]) ).
tff(c_100414,plain,
! [W1_904] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_904,xm) )
| ( xp = W1_904 )
| ~ aNaturalNumber0(W1_904)
| ( xm = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145,c_143,c_100144]) ).
tff(c_100661,plain,
! [W1_905] :
( ( sdtasdt0(xm,xn) != sdtasdt0(W1_905,xm) )
| ( xp = W1_905 )
| ~ aNaturalNumber0(W1_905) ),
inference(negUnitSimplification,[status(thm)],[c_94366,c_100414]) ).
tff(c_100739,plain,
( ( sdtasdt0(xn,xm) != sdtasdt0(xm,xn) )
| ( xp = xn ) ),
inference(resolution,[status(thm)],[c_147,c_100661]) ).
tff(c_100781,plain,
xp = xn,
inference(demodulation,[status(thm),theory(equality)],[c_90417,c_100739]) ).
tff(c_100783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165,c_100781]) ).
tff(c_100784,plain,
sdtasdt0(xp,xm) = sdtasdt0(xp,xk),
inference(splitRight,[status(thm)],[c_89137]) ).
tff(c_102790,plain,
sdtasdt0(xp,xk) = sdtasdt0(xm,xp),
inference(demodulation,[status(thm),theory(equality)],[c_102784,c_100784]) ).
tff(c_101495,plain,
! [W0_924] :
( ( sdtasdt0(xn,W0_924) = sdtasdt0(W0_924,xn) )
| ~ aNaturalNumber0(W0_924) ),
inference(resolution,[status(thm)],[c_147,c_101416]) ).
tff(c_101534,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_145,c_101495]) ).
tff(c_100785,plain,
sdtasdt0(xp,xm) != sdtasdt0(xn,xm),
inference(splitRight,[status(thm)],[c_89137]) ).
tff(c_100855,plain,
sdtasdt0(xp,xk) != sdtasdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_100784,c_100785]) ).
tff(c_101540,plain,
sdtasdt0(xp,xk) != sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_101534,c_100855]) ).
tff(c_102933,plain,
sdtasdt0(xm,xp) != sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_102790,c_101540]) ).
tff(c_101547,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_101534,c_12]) ).
tff(c_101551,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_145,c_101547]) ).
tff(c_101542,plain,
doDivides0(xp,sdtasdt0(xm,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_101534,c_151]) ).
tff(c_101539,plain,
sdtsldt0(sdtasdt0(xm,xn),xp) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_101534,c_167]) ).
tff(c_117472,plain,
! [W0_1126,W1_1127] :
( ( sdtasdt0(W0_1126,sdtsldt0(W1_1127,W0_1126)) = W1_1127 )
| ~ doDivides0(W0_1126,W1_1127)
| ( sz00 = W0_1126 )
| ~ aNaturalNumber0(W1_1127)
| ~ aNaturalNumber0(W0_1126) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_117492,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xm,xn) )
| ~ doDivides0(xp,sdtasdt0(xm,xn))
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_101539,c_117472]) ).
tff(c_117496,plain,
( ( sdtasdt0(xm,xp) = sdtasdt0(xm,xn) )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143,c_101551,c_101542,c_102790,c_117492]) ).
tff(c_117498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113916,c_102933,c_117496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM503+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
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 14:35:03 EDT 2023
% 0.17/0.35 % CPUTime :
% 31.04/18.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.21/18.83
% 31.21/18.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 31.21/18.89
% 31.21/18.89 Inference rules
% 31.21/18.89 ----------------------
% 31.21/18.89 #Ref : 33
% 31.21/18.89 #Sup : 23709
% 31.21/18.89 #Fact : 8
% 31.21/18.89 #Define : 0
% 31.21/18.89 #Split : 220
% 31.21/18.89 #Chain : 0
% 31.21/18.89 #Close : 0
% 31.21/18.89
% 31.21/18.89 Ordering : KBO
% 31.21/18.89
% 31.21/18.89 Simplification rules
% 31.21/18.89 ----------------------
% 31.21/18.89 #Subsume : 1124
% 31.21/18.89 #Demod : 42327
% 31.21/18.89 #Tautology : 9797
% 31.21/18.89 #SimpNegUnit : 3602
% 31.21/18.89 #BackRed : 4277
% 31.21/18.89
% 31.21/18.89 #Partial instantiations: 0
% 31.21/18.89 #Strategies tried : 1
% 31.21/18.89
% 31.21/18.89 Timing (in seconds)
% 31.21/18.89 ----------------------
% 31.21/18.89 Preprocessing : 0.70
% 31.21/18.89 Parsing : 0.35
% 31.21/18.89 CNF conversion : 0.05
% 31.21/18.89 Main loop : 17.06
% 31.21/18.89 Inferencing : 2.77
% 31.21/18.89 Reduction : 9.83
% 31.21/18.89 Demodulation : 8.17
% 31.21/18.89 BG Simplification : 0.19
% 31.21/18.89 Subsumption : 3.42
% 31.21/18.89 Abstraction : 0.29
% 31.21/18.89 MUC search : 0.00
% 31.21/18.89 Cooper : 0.00
% 31.21/18.89 Total : 17.87
% 31.21/18.89 Index Insertion : 0.00
% 31.21/18.89 Index Deletion : 0.00
% 31.21/18.89 Index Matching : 0.00
% 31.21/18.89 BG Taut test : 0.00
%------------------------------------------------------------------------------