TSTP Solution File: NUM453+6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM453+6 : 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 : n031.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 10:51:43 EDT 2023
% Result : Theorem 32.54s 18.03s
% Output : CNFRefutation 32.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 71
% Syntax : Number of formulae : 153 ( 45 unt; 59 typ; 0 def)
% Number of atoms : 221 ( 95 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 193 ( 66 ~; 68 |; 43 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 50 >; 37 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 49 ( 49 usr; 9 con; 0-3 aty)
% Number of variables : 62 (; 56 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aSubsetOf0 > aElementOf0 > aDivisorOf0 > isPrime0 > isOpen0 > isFinite0 > isClosed0 > aSet0 > aInteger0 > szAzrzSzezqlpdtcmdtrp0 > sdtslmnbsdt0 > sdtpldt0 > sdtbsmnsldt0 > sdtasdt0 > #nlpp > stldt0 > smndt0 > sbsmnsldt0 > xp > xS > sz10 > sz00 > cS2076 > cS2043 > cS1395 > #skF_25 > #skF_33 > #skF_11 > #skF_2 > #skF_18 > #skF_24 > #skF_26 > #skF_6 > #skF_19 > #skF_17 > #skF_31 > #skF_22 > #skF_12 > #skF_8 > #skF_4 > #skF_3 > #skF_13 > #skF_14 > #skF_32 > #skF_28 > #skF_5 > #skF_10 > #skF_7 > #skF_15 > #skF_23 > #skF_27 > #skF_29 > #skF_21 > #skF_1 > #skF_9 > #skF_30 > #skF_20 > #skF_16 > #skF_34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(sbsmnsldt0,type,
sbsmnsldt0: $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_33',type,
'#skF_33': $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(cS2043,type,
cS2043: $i ).
tff(stldt0,type,
stldt0: $i > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(isClosed0,type,
isClosed0: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(szAzrzSzezqlpdtcmdtrp0,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(cS1395,type,
cS1395: $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(cS2076,type,
cS2076: $i ).
tff(xS,type,
xS: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(isOpen0,type,
isOpen0: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(sdtbsmnsldt0,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(xp,type,
xp: $i ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_737,hypothesis,
( aInteger0(xp)
& ( xp != sz00 )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& ( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ( aInteger0(W0)
& ( ? [W1] :
( aInteger0(W1)
& ( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ) )
| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
tff(f_758,hypothesis,
( ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
tff(f_764,negated_conjecture,
~ ( ( sdtpldt0(sz10,xp) != sz10 )
& ( sdtpldt0(sz10,smndt0(xp)) != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_73,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
tff(f_125,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( ( sdtasdt0(W0,W1) = sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
tff(f_543,hypothesis,
( aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ( W0 = sz10 )
| ( W0 = smndt0(sz10) ) ) )
& ( stldt0(sbsmnsldt0(xS)) = cS2076 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
tff(f_67,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_61,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(f_55,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_87,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
tff(c_450,plain,
xp != sz00,
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_452,plain,
aInteger0(xp),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_498,plain,
aInteger0('#skF_34'),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_500,plain,
( ( sdtpldt0(sz10,smndt0(xp)) = sz10 )
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(cnfTransformation,[status(thm)],[f_764]) ).
tff(c_584,plain,
sdtpldt0(sz10,xp) = sz10,
inference(splitLeft,[status(thm)],[c_500]) ).
tff(c_496,plain,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = sdtasdt0(xp,'#skF_34'),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_2504,plain,
sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0(xp,'#skF_34'),
inference(demodulation,[status(thm),theory(equality)],[c_584,c_496]) ).
tff(c_24,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2511,plain,
( ( sdtasdt0(xp,'#skF_34') = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_2504,c_24]) ).
tff(c_2520,plain,
sdtasdt0(xp,'#skF_34') = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2511]) ).
tff(c_6434,plain,
! [W1_439,W0_440] :
( ( sz00 = W1_439 )
| ( sz00 = W0_440 )
| ( sdtasdt0(W0_440,W1_439) != sz00 )
| ~ aInteger0(W1_439)
| ~ aInteger0(W0_440) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_6524,plain,
( ( sz00 = '#skF_34' )
| ( xp = sz00 )
| ~ aInteger0('#skF_34')
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_2520,c_6434]) ).
tff(c_6750,plain,
( ( sz00 = '#skF_34' )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_498,c_6524]) ).
tff(c_6751,plain,
sz00 = '#skF_34',
inference(negUnitSimplification,[status(thm)],[c_450,c_6750]) ).
tff(c_7000,plain,
xp != '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_6751,c_450]) ).
tff(c_322,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_334,plain,
aElementOf0(smndt0(sz10),stldt0(sbsmnsldt0(xS))),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_513,plain,
aElementOf0(smndt0(sz10),cS2076),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_334]) ).
tff(c_456,plain,
! [W0_288] :
( aInteger0(W0_288)
| ~ aElementOf0(W0_288,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_599,plain,
! [W0_299] :
( aInteger0(W0_299)
| ~ aElementOf0(W0_299,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_456]) ).
tff(c_606,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[c_513,c_599]) ).
tff(c_610,plain,
! [W0_301] :
( ( sdtpldt0(W0_301,sz00) = W0_301 )
| ~ aInteger0(W0_301) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_636,plain,
sdtpldt0(xp,sz00) = xp,
inference(resolution,[status(thm)],[c_452,c_610]) ).
tff(c_6991,plain,
sdtpldt0(xp,'#skF_34') = xp,
inference(demodulation,[status(thm),theory(equality)],[c_6751,c_636]) ).
tff(c_2549,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_2520,c_2504]) ).
tff(c_6932,plain,
sdtpldt0(sz10,smndt0(sz10)) = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_6751,c_2549]) ).
tff(c_6966,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = '#skF_34' )
| ~ aInteger0(W0_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_6751,c_24]) ).
tff(c_2592,plain,
! [W1_377,W0_378] :
( ( sdtpldt0(W1_377,W0_378) = sdtpldt0(W0_378,W1_377) )
| ~ aInteger0(W1_377)
| ~ aInteger0(W0_378) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2643,plain,
! [W0_379] :
( ( sdtpldt0(sz10,W0_379) = sdtpldt0(W0_379,sz10) )
| ~ aInteger0(W0_379) ),
inference(resolution,[status(thm)],[c_6,c_2592]) ).
tff(c_2685,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(resolution,[status(thm)],[c_452,c_2643]) ).
tff(c_2709,plain,
sdtpldt0(xp,sz10) = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_584,c_2685]) ).
tff(c_33876,plain,
! [W0_803,W1_804,W2_805] :
( ( sdtpldt0(sdtpldt0(W0_803,W1_804),W2_805) = sdtpldt0(W0_803,sdtpldt0(W1_804,W2_805)) )
| ~ aInteger0(W2_805)
| ~ aInteger0(W1_804)
| ~ aInteger0(W0_803) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_33951,plain,
! [W2_805] :
( ( sdtpldt0(xp,sdtpldt0(sz10,W2_805)) = sdtpldt0(sz10,W2_805) )
| ~ aInteger0(W2_805)
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_2709,c_33876]) ).
tff(c_107026,plain,
! [W2_1516] :
( ( sdtpldt0(xp,sdtpldt0(sz10,W2_1516)) = sdtpldt0(sz10,W2_1516) )
| ~ aInteger0(W2_1516) ),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_6,c_33951]) ).
tff(c_107109,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(xp,'#skF_34') )
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_6966,c_107026]) ).
tff(c_107147,plain,
xp = '#skF_34',
inference(demodulation,[status(thm),theory(equality)],[c_6,c_606,c_6991,c_6932,c_107109]) ).
tff(c_107149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7000,c_107147]) ).
tff(c_107151,plain,
sdtpldt0(sz10,xp) != sz10,
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_490,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_440,plain,
! [W0_287] :
( aElementOf0(W0_287,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0_287,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_108254,plain,
! [W0_1564] :
( aElementOf0(W0_1564,cS2076)
| ~ aElementOf0(W0_1564,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_440]) ).
tff(c_108263,plain,
aElementOf0(sdtpldt0(sz10,xp),cS2076),
inference(resolution,[status(thm)],[c_490,c_108254]) ).
tff(c_324,plain,
! [W0_221] :
( ( smndt0(sz10) = W0_221 )
| ( sz10 = W0_221 )
| ~ aElementOf0(W0_221,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_108291,plain,
! [W0_1568] :
( ( smndt0(sz10) = W0_1568 )
| ( sz10 = W0_1568 )
| ~ aElementOf0(W0_1568,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_324]) ).
tff(c_108294,plain,
( ( sdtpldt0(sz10,xp) = smndt0(sz10) )
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(resolution,[status(thm)],[c_108263,c_108291]) ).
tff(c_108303,plain,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(negUnitSimplification,[status(thm)],[c_107151,c_108294]) ).
tff(c_108319,plain,
smndt0(sz10) != sz10,
inference(demodulation,[status(thm),theory(equality)],[c_108303,c_107151]) ).
tff(c_488,plain,
aInteger0('#skF_33'),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_109236,plain,
! [W1_1597,W0_1598] :
( ( sdtasdt0(W1_1597,W0_1598) = sdtasdt0(W0_1598,W1_1597) )
| ~ aInteger0(W1_1597)
| ~ aInteger0(W0_1598) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_109433,plain,
! [W0_1601] :
( ( sdtasdt0(xp,W0_1601) = sdtasdt0(W0_1601,xp) )
| ~ aInteger0(W0_1601) ),
inference(resolution,[status(thm)],[c_452,c_109236]) ).
tff(c_109499,plain,
sdtasdt0(xp,'#skF_33') = sdtasdt0('#skF_33',xp),
inference(resolution,[status(thm)],[c_488,c_109433]) ).
tff(c_107150,plain,
sdtpldt0(sz10,smndt0(xp)) = sz10,
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_486,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) = sdtasdt0(xp,'#skF_33'),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_110033,plain,
sdtpldt0(sz10,smndt0(sz10)) = sdtasdt0('#skF_33',xp),
inference(demodulation,[status(thm),theory(equality)],[c_109499,c_107150,c_486]) ).
tff(c_110040,plain,
( ( sdtasdt0('#skF_33',xp) = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_110033,c_24]) ).
tff(c_110049,plain,
sdtasdt0('#skF_33',xp) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_110040]) ).
tff(c_110058,plain,
sdtasdt0(xp,'#skF_33') = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_110049,c_109499]) ).
tff(c_112629,plain,
! [W1_1649,W0_1650] :
( ( sz00 = W1_1649 )
| ( sz00 = W0_1650 )
| ( sdtasdt0(W0_1650,W1_1649) != sz00 )
| ~ aInteger0(W1_1649)
| ~ aInteger0(W0_1650) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_112697,plain,
( ( sz00 = '#skF_33' )
| ( xp = sz00 )
| ~ aInteger0('#skF_33')
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_110058,c_112629]) ).
tff(c_112911,plain,
( ( sz00 = '#skF_33' )
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_488,c_112697]) ).
tff(c_112912,plain,
sz00 = '#skF_33',
inference(negUnitSimplification,[status(thm)],[c_450,c_112911]) ).
tff(c_107238,plain,
! [W0_1526] :
( ( sdtpldt0(sz00,W0_1526) = W0_1526 )
| ~ aInteger0(W0_1526) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_107266,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(resolution,[status(thm)],[c_6,c_107238]) ).
tff(c_113170,plain,
sdtpldt0('#skF_33',sz10) = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_112912,c_107266]) ).
tff(c_109647,plain,
! [W1_1603,W0_1604] :
( ( sdtpldt0(W1_1603,W0_1604) = sdtpldt0(W0_1604,W1_1603) )
| ~ aInteger0(W1_1603)
| ~ aInteger0(W0_1604) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_109899,plain,
! [W0_1611] :
( ( sdtpldt0(W0_1611,'#skF_33') = sdtpldt0('#skF_33',W0_1611) )
| ~ aInteger0(W0_1611) ),
inference(resolution,[status(thm)],[c_488,c_109647]) ).
tff(c_109967,plain,
sdtpldt0(sz10,'#skF_33') = sdtpldt0('#skF_33',sz10),
inference(resolution,[status(thm)],[c_6,c_109899]) ).
tff(c_113314,plain,
sdtpldt0(sz10,'#skF_33') = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_113170,c_109967]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_113142,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = '#skF_33' )
| ~ aInteger0(W0_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_112912,c_22]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_117014,plain,
! [W0_1753,W1_1754,W2_1755] :
( ( sdtpldt0(sdtpldt0(W0_1753,W1_1754),W2_1755) = sdtpldt0(W0_1753,sdtpldt0(W1_1754,W2_1755)) )
| ~ aInteger0(W2_1755)
| ~ aInteger0(W1_1754)
| ~ aInteger0(W0_1753) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_117115,plain,
! [W2_1755] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(xp),W2_1755)) = sdtpldt0(sz10,W2_1755) )
| ~ aInteger0(W2_1755)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_107150,c_117014]) ).
tff(c_117161,plain,
! [W2_1755] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(xp),W2_1755)) = sdtpldt0(sz10,W2_1755) )
| ~ aInteger0(W2_1755)
| ~ aInteger0(smndt0(xp)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_117115]) ).
tff(c_117259,plain,
~ aInteger0(smndt0(xp)),
inference(splitLeft,[status(thm)],[c_117161]) ).
tff(c_117262,plain,
~ aInteger0(xp),
inference(resolution,[status(thm)],[c_8,c_117259]) ).
tff(c_117266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_117262]) ).
tff(c_117481,plain,
! [W2_1758] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(xp),W2_1758)) = sdtpldt0(sz10,W2_1758) )
| ~ aInteger0(W2_1758) ),
inference(splitRight,[status(thm)],[c_117161]) ).
tff(c_117500,plain,
( ( sdtpldt0(sz10,xp) = sdtpldt0(sz10,'#skF_33') )
| ~ aInteger0(xp)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_113142,c_117481]) ).
tff(c_117515,plain,
smndt0(sz10) = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_452,c_452,c_108303,c_113314,c_117500]) ).
tff(c_117517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108319,c_117515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM453+6 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % 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
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 15:04:14 EDT 2023
% 0.16/0.37 % CPUTime :
% 32.54/18.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.54/18.04
% 32.54/18.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.61/18.07
% 32.61/18.07 Inference rules
% 32.61/18.07 ----------------------
% 32.61/18.07 #Ref : 0
% 32.61/18.07 #Sup : 24090
% 32.61/18.07 #Fact : 0
% 32.61/18.07 #Define : 0
% 32.61/18.07 #Split : 100
% 32.61/18.07 #Chain : 0
% 32.61/18.07 #Close : 0
% 32.61/18.07
% 32.61/18.07 Ordering : KBO
% 32.61/18.07
% 32.61/18.07 Simplification rules
% 32.61/18.07 ----------------------
% 32.61/18.07 #Subsume : 2068
% 32.61/18.07 #Demod : 31819
% 32.61/18.07 #Tautology : 10268
% 32.61/18.07 #SimpNegUnit : 733
% 32.61/18.07 #BackRed : 1083
% 32.61/18.07
% 32.61/18.07 #Partial instantiations: 0
% 32.61/18.07 #Strategies tried : 1
% 32.61/18.07
% 32.61/18.07 Timing (in seconds)
% 32.61/18.07 ----------------------
% 32.61/18.08 Preprocessing : 0.84
% 32.61/18.08 Parsing : 0.40
% 32.61/18.08 CNF conversion : 0.09
% 32.61/18.08 Main loop : 16.07
% 32.61/18.08 Inferencing : 3.13
% 32.61/18.08 Reduction : 7.58
% 32.61/18.08 Demodulation : 6.34
% 32.61/18.08 BG Simplification : 0.25
% 32.61/18.08 Subsumption : 3.95
% 32.61/18.08 Abstraction : 0.32
% 32.61/18.08 MUC search : 0.00
% 32.61/18.08 Cooper : 0.00
% 32.61/18.08 Total : 16.98
% 32.61/18.08 Index Insertion : 0.00
% 32.61/18.08 Index Deletion : 0.00
% 32.61/18.08 Index Matching : 0.00
% 32.61/18.08 BG Taut test : 0.00
%------------------------------------------------------------------------------