TSTP Solution File: NUM453+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM453+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 : n006.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 14.94s 4.57s
% Output : CNFRefutation 15.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 59
% Syntax : Number of formulae : 135 ( 37 unt; 45 typ; 0 def)
% Number of atoms : 181 ( 66 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 169 ( 78 ~; 66 |; 14 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 70 ( 38 >; 32 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 7 con; 0-3 aty)
% Number of variables : 58 (; 57 !; 1 ?; 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_11 > #skF_2 > #skF_18 > #skF_6 > #skF_19 > #skF_17 > #skF_12 > #skF_8 > #skF_4 > #skF_3 > #skF_13 > #skF_14 > #skF_5 > #skF_10 > #skF_7 > #skF_15 > #skF_1 > #skF_9 > #skF_20 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(sbsmnsldt0,type,
sbsmnsldt0: $i > $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_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(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(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
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(isFinite0,type,
isFinite0: $i > $o ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(xp,type,
xp: $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_439,hypothesis,
( aInteger0(xp)
& ( xp != sz00 )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
tff(f_233,axiom,
! [W0] :
( aInteger0(W0)
=> ( ? [W1] :
( aDivisorOf0(W1,W0)
& isPrime0(W1) )
<=> ( ( W0 != sz10 )
& ( W0 != smndt0(sz10) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimeDivisor) ).
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_41,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
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_30,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
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_448,negated_conjecture,
~ ( ( sdtpldt0(sz10,xp) != sz10 )
& ( sdtpldt0(sz10,smndt0(xp)) != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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_115,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
& ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
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_47,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
tff(c_284,plain,
xp != sz00,
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_78,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_944,plain,
~ aInteger0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_947,plain,
~ aInteger0(sz10),
inference(resolution,[status(thm)],[c_8,c_944]) ).
tff(c_951,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_947]) ).
tff(c_953,plain,
aInteger0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_286,plain,
aInteger0(xp),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_1075,plain,
! [W1_219,W0_220] :
( ( sdtpldt0(W1_219,W0_220) = sdtpldt0(W0_220,W1_219) )
| ~ aInteger0(W1_219)
| ~ aInteger0(W0_220) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_1231,plain,
! [W0_224] :
( ( sdtpldt0(xp,W0_224) = sdtpldt0(W0_224,xp) )
| ~ aInteger0(W0_224) ),
inference(resolution,[status(thm)],[c_286,c_1075]) ).
tff(c_1256,plain,
sdtpldt0(smndt0(sz10),xp) = sdtpldt0(xp,smndt0(sz10)),
inference(resolution,[status(thm)],[c_953,c_1231]) ).
tff(c_10,plain,
! [W0_3,W1_4] :
( aInteger0(sdtpldt0(W0_3,W1_4))
| ~ aInteger0(W1_4)
| ~ aInteger0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1315,plain,
( aInteger0(sdtpldt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_1256,c_10]) ).
tff(c_1319,plain,
aInteger0(sdtpldt0(xp,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_953,c_286,c_1315]) ).
tff(c_426,plain,
! [W0_186] :
( ( sdtpldt0(W0_186,sz00) = W0_186 )
| ~ aInteger0(W0_186) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_443,plain,
sdtpldt0(xp,sz00) = xp,
inference(resolution,[status(thm)],[c_286,c_426]) ).
tff(c_4,plain,
aInteger0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_397,plain,
! [W0_185] :
( ( sdtpldt0(sz00,W0_185) = W0_185 )
| ~ aInteger0(W0_185) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_411,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[c_4,c_397]) ).
tff(c_1276,plain,
! [W0_225] :
( ( sdtpldt0(sz10,W0_225) = sdtpldt0(W0_225,sz10) )
| ~ aInteger0(W0_225) ),
inference(resolution,[status(thm)],[c_6,c_1075]) ).
tff(c_1301,plain,
sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[c_953,c_1276]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1386,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_1301,c_22]) ).
tff(c_1395,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1386]) ).
tff(c_3970,plain,
! [W0_288] :
( ( sdtpldt0(smndt0(sz10),W0_288) = sdtpldt0(W0_288,smndt0(sz10)) )
| ~ aInteger0(W0_288) ),
inference(resolution,[status(thm)],[c_953,c_1075]) ).
tff(c_4007,plain,
! [W0_288] :
( aInteger0(sdtpldt0(W0_288,smndt0(sz10)))
| ~ aInteger0(W0_288)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(W0_288) ),
inference(superposition,[status(thm),theory(equality)],[c_3970,c_10]) ).
tff(c_4065,plain,
! [W0_288] :
( aInteger0(sdtpldt0(W0_288,smndt0(sz10)))
| ~ aInteger0(W0_288) ),
inference(demodulation,[status(thm),theory(equality)],[c_953,c_4007]) ).
tff(c_292,plain,
( ( sdtpldt0(sz10,smndt0(xp)) = sz10 )
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(cnfTransformation,[status(thm)],[f_448]) ).
tff(c_308,plain,
sdtpldt0(sz10,xp) = sz10,
inference(splitLeft,[status(thm)],[c_292]) ).
tff(c_6855,plain,
! [W0_334,W1_335,W2_336] :
( ( sdtpldt0(sdtpldt0(W0_334,W1_335),W2_336) = sdtpldt0(W0_334,sdtpldt0(W1_335,W2_336)) )
| ~ aInteger0(W2_336)
| ~ aInteger0(W1_335)
| ~ aInteger0(W0_334) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_6988,plain,
! [W2_336] :
( ( sdtpldt0(sz10,sdtpldt0(xp,W2_336)) = sdtpldt0(sz10,W2_336) )
| ~ aInteger0(W2_336)
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_308,c_6855]) ).
tff(c_7052,plain,
! [W2_336] :
( ( sdtpldt0(sz10,sdtpldt0(xp,W2_336)) = sdtpldt0(sz10,W2_336) )
| ~ aInteger0(W2_336) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_286,c_6988]) ).
tff(c_412,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(resolution,[status(thm)],[c_6,c_397]) ).
tff(c_6982,plain,
! [W2_336] :
( ( sdtpldt0(sz00,sdtpldt0(sz10,W2_336)) = sdtpldt0(sz10,W2_336) )
| ~ aInteger0(W2_336)
| ~ aInteger0(sz10)
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_6855]) ).
tff(c_7323,plain,
! [W2_339] :
( ( sdtpldt0(sz00,sdtpldt0(sz10,W2_339)) = sdtpldt0(sz10,W2_339) )
| ~ aInteger0(W2_339) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_6982]) ).
tff(c_7701,plain,
! [W2_347] :
( ( sdtpldt0(sz10,sdtpldt0(xp,W2_347)) = sdtpldt0(sz00,sdtpldt0(sz10,W2_347)) )
| ~ aInteger0(sdtpldt0(xp,W2_347))
| ~ aInteger0(W2_347) ),
inference(superposition,[status(thm),theory(equality)],[c_7052,c_7323]) ).
tff(c_7708,plain,
( ( sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(sz10))) )
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp) ),
inference(resolution,[status(thm)],[c_4065,c_7701]) ).
tff(c_7731,plain,
sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_953,c_411,c_1395,c_7708]) ).
tff(c_1252,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(resolution,[status(thm)],[c_6,c_1231]) ).
tff(c_1264,plain,
sdtpldt0(xp,sz10) = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_308,c_1252]) ).
tff(c_6948,plain,
! [W2_336] :
( ( sdtpldt0(xp,sdtpldt0(sz10,W2_336)) = sdtpldt0(sz10,W2_336) )
| ~ aInteger0(W2_336)
| ~ aInteger0(sz10)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_1264,c_6855]) ).
tff(c_11912,plain,
! [W2_397] :
( ( sdtpldt0(xp,sdtpldt0(sz10,W2_397)) = sdtpldt0(sz10,W2_397) )
| ~ aInteger0(W2_397) ),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_6,c_6948]) ).
tff(c_11954,plain,
( ( sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(xp,sz00) )
| ~ aInteger0(sdtpldt0(xp,smndt0(sz10))) ),
inference(superposition,[status(thm),theory(equality)],[c_7731,c_11912]) ).
tff(c_11990,plain,
xp = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1319,c_443,c_7731,c_11954]) ).
tff(c_11992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_284,c_11990]) ).
tff(c_11994,plain,
sdtpldt0(sz10,xp) != sz10,
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_12116,plain,
! [W0_406] :
( ( sdtpldt0(W0_406,sz00) = W0_406 )
| ~ aInteger0(W0_406) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_12132,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[c_6,c_12116]) ).
tff(c_42,plain,
! [W0_24] :
( ( sdtasdt0(W0_24,smndt0(sz10)) = smndt0(W0_24) )
| ~ aInteger0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_12607,plain,
~ aInteger0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_12611,plain,
~ aInteger0(sz10),
inference(resolution,[status(thm)],[c_8,c_12607]) ).
tff(c_12615,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_12611]) ).
tff(c_12617,plain,
aInteger0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_13178,plain,
! [W1_456,W0_457] :
( ( sdtasdt0(W1_456,W0_457) = sdtasdt0(W0_457,W1_456) )
| ~ aInteger0(W1_456)
| ~ aInteger0(W0_457) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_13271,plain,
! [W0_460] :
( ( sdtasdt0(xp,W0_460) = sdtasdt0(W0_460,xp) )
| ~ aInteger0(W0_460) ),
inference(resolution,[status(thm)],[c_286,c_13178]) ).
tff(c_13304,plain,
sdtasdt0(smndt0(sz10),xp) = sdtasdt0(xp,smndt0(sz10)),
inference(resolution,[status(thm)],[c_12617,c_13271]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aInteger0(sdtasdt0(W0_5,W1_6))
| ~ aInteger0(W1_6)
| ~ aInteger0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_13413,plain,
( aInteger0(sdtasdt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_13304,c_12]) ).
tff(c_13422,plain,
aInteger0(sdtasdt0(xp,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_12617,c_286,c_13413]) ).
tff(c_13468,plain,
( aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_13422]) ).
tff(c_13484,plain,
aInteger0(smndt0(xp)),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_13468]) ).
tff(c_12838,plain,
! [W1_445,W0_446] :
( ( sdtpldt0(W1_445,W0_446) = sdtpldt0(W0_446,W1_445) )
| ~ aInteger0(W1_445)
| ~ aInteger0(W0_446) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12862,plain,
! [W0_446] :
( ( sdtpldt0(xp,W0_446) = sdtpldt0(W0_446,xp) )
| ~ aInteger0(W0_446) ),
inference(resolution,[status(thm)],[c_286,c_12838]) ).
tff(c_13549,plain,
sdtpldt0(smndt0(xp),xp) = sdtpldt0(xp,smndt0(xp)),
inference(resolution,[status(thm)],[c_13484,c_12862]) ).
tff(c_13965,plain,
( ( sdtpldt0(xp,smndt0(xp)) = sz00 )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_13549,c_22]) ).
tff(c_13974,plain,
sdtpldt0(xp,smndt0(xp)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_13965]) ).
tff(c_13016,plain,
! [W0_451] :
( ( sdtpldt0(xp,W0_451) = sdtpldt0(W0_451,xp) )
| ~ aInteger0(W0_451) ),
inference(resolution,[status(thm)],[c_286,c_12838]) ).
tff(c_13049,plain,
! [W0_2] :
( ( sdtpldt0(smndt0(W0_2),xp) = sdtpldt0(xp,smndt0(W0_2)) )
| ~ aInteger0(W0_2) ),
inference(resolution,[status(thm)],[c_8,c_13016]) ).
tff(c_11993,plain,
sdtpldt0(sz10,smndt0(xp)) = sz10,
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_18238,plain,
! [W0_556,W1_557,W2_558] :
( ( sdtpldt0(sdtpldt0(W0_556,W1_557),W2_558) = sdtpldt0(W0_556,sdtpldt0(W1_557,W2_558)) )
| ~ aInteger0(W2_558)
| ~ aInteger0(W1_557)
| ~ aInteger0(W0_556) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18383,plain,
! [W2_558] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(xp),W2_558)) = sdtpldt0(sz10,W2_558) )
| ~ aInteger0(W2_558)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_11993,c_18238]) ).
tff(c_18524,plain,
! [W2_562] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(xp),W2_562)) = sdtpldt0(sz10,W2_562) )
| ~ aInteger0(W2_562) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_13484,c_18383]) ).
tff(c_18554,plain,
( ( sdtpldt0(sz10,sdtpldt0(xp,smndt0(xp))) = sdtpldt0(sz10,xp) )
| ~ aInteger0(xp)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_13049,c_18524]) ).
tff(c_18595,plain,
sdtpldt0(sz10,xp) = sz10,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_286,c_12132,c_13974,c_18554]) ).
tff(c_18597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11994,c_18595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : NUM453+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16 % 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
% 0.17/0.37 % Computer : n006.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu Aug 3 15:04:13 EDT 2023
% 0.17/0.37 % CPUTime :
% 14.94/4.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.94/4.58
% 14.94/4.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.23/4.62
% 15.23/4.62 Inference rules
% 15.23/4.62 ----------------------
% 15.23/4.62 #Ref : 0
% 15.23/4.62 #Sup : 3841
% 15.23/4.62 #Fact : 0
% 15.23/4.62 #Define : 0
% 15.23/4.62 #Split : 18
% 15.23/4.62 #Chain : 0
% 15.23/4.62 #Close : 0
% 15.23/4.62
% 15.23/4.62 Ordering : KBO
% 15.23/4.62
% 15.23/4.62 Simplification rules
% 15.23/4.62 ----------------------
% 15.23/4.62 #Subsume : 309
% 15.23/4.62 #Demod : 5237
% 15.23/4.62 #Tautology : 2183
% 15.23/4.62 #SimpNegUnit : 110
% 15.23/4.62 #BackRed : 250
% 15.23/4.62
% 15.23/4.62 #Partial instantiations: 0
% 15.23/4.62 #Strategies tried : 1
% 15.23/4.62
% 15.23/4.62 Timing (in seconds)
% 15.23/4.62 ----------------------
% 15.23/4.62 Preprocessing : 0.83
% 15.23/4.62 Parsing : 0.40
% 15.23/4.62 CNF conversion : 0.08
% 15.23/4.62 Main loop : 2.70
% 15.23/4.62 Inferencing : 0.87
% 15.23/4.62 Reduction : 0.99
% 15.23/4.62 Demodulation : 0.75
% 15.23/4.62 BG Simplification : 0.10
% 15.23/4.62 Subsumption : 0.56
% 15.23/4.62 Abstraction : 0.08
% 15.23/4.62 MUC search : 0.00
% 15.23/4.62 Cooper : 0.00
% 15.23/4.62 Total : 3.59
% 15.23/4.62 Index Insertion : 0.00
% 15.23/4.62 Index Deletion : 0.00
% 15.23/4.62 Index Matching : 0.00
% 15.23/4.62 BG Taut test : 0.00
%------------------------------------------------------------------------------