TSTP Solution File: NUM563+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM563+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 : n025.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 10:52:08 EDT 2023
% Result : Theorem 47.59s 31.87s
% Output : CNFRefutation 47.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 74
% Syntax : Number of formulae : 163 ( 35 unt; 58 typ; 3 def)
% Number of atoms : 256 ( 44 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 277 ( 126 ~; 116 |; 15 &)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 51 >; 53 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 7 con; 0-4 aty)
% Number of variables : 85 (; 82 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xc > xT > xS > xK > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_23 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_24 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzozmdt0,type,
szDzozmdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(xK,type,
xK: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_667,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(f_716,negated_conjecture,
~ ( ( xK = sz00 )
=> ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( aSubsetOf0(W1,xS)
& isCountable0(W1)
& ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> ( sdtlpdtrp0(xc,W2) = W0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_664,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
tff(f_672,hypothesis,
( aFunction0(xc)
& ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
tff(f_507,axiom,
! [W0] :
( ( aSet0(W0)
& ~ isFinite0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> ( slbdtsldtrb0(W0,W1) != slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
tff(f_559,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_663,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
tff(f_613,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_340,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_538,plain,
! [W1_412,W0_413] :
( aSet0(W1_412)
| ~ aSubsetOf0(W1_412,W0_413)
| ~ aSet0(W0_413) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_550,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_340,c_538]) ).
tff(c_558,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_550]) ).
tff(c_338,plain,
isCountable0(xS),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_356,plain,
xK = sz00,
inference(cnfTransformation,[status(thm)],[f_716]) ).
tff(c_336,plain,
aElementOf0(xK,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_367,plain,
aElementOf0(sz00,szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_336]) ).
tff(c_344,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_366,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_344]) ).
tff(c_1134,plain,
! [W0_488,W1_489] :
( ( slbdtsldtrb0(W0_488,W1_489) != slcrc0 )
| ~ aElementOf0(W1_489,szNzAzT0)
| isFinite0(W0_488)
| ~ aSet0(W0_488) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_1136,plain,
( ( szDzozmdt0(xc) != slcrc0 )
| ~ aElementOf0(sz00,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_1134]) ).
tff(c_1138,plain,
( ( szDzozmdt0(xc) != slcrc0 )
| isFinite0(xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_367,c_1136]) ).
tff(c_1139,plain,
szDzozmdt0(xc) != slcrc0,
inference(splitLeft,[status(thm)],[c_1138]) ).
tff(c_346,plain,
aFunction0(xc),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_262,plain,
! [W0_184] :
( aSet0(szDzozmdt0(W0_184))
| ~ aFunction0(W0_184) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_360,plain,
! [W0_381,W1_385] :
( aElementOf0('#skF_28'(W0_381,W1_385),slbdtsldtrb0(W1_385,xK))
| ~ isCountable0(W1_385)
| ~ aSubsetOf0(W1_385,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(cnfTransformation,[status(thm)],[f_716]) ).
tff(c_361,plain,
! [W0_381,W1_385] :
( aElementOf0('#skF_28'(W0_381,W1_385),slbdtsldtrb0(W1_385,sz00))
| ~ isCountable0(W1_385)
| ~ aSubsetOf0(W1_385,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_360]) ).
tff(c_399,plain,
! [W0_381] :
( aElementOf0('#skF_28'(W0_381,xS),szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_361]) ).
tff(c_403,plain,
! [W0_381] :
( aElementOf0('#skF_28'(W0_381,xS),szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_399]) ).
tff(c_429,plain,
~ aSubsetOf0(xS,xS),
inference(splitLeft,[status(thm)],[c_403]) ).
tff(c_433,plain,
~ aSet0(xS),
inference(resolution,[status(thm)],[c_34,c_429]) ).
tff(c_500,plain,
! [W1_409,W0_410] :
( aSet0(W1_409)
| ~ aSubsetOf0(W1_409,W0_410)
| ~ aSet0(W0_410) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_509,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_340,c_500]) ).
tff(c_516,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_509]) ).
tff(c_518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_433,c_516]) ).
tff(c_520,plain,
aSubsetOf0(xS,xS),
inference(splitRight,[status(thm)],[c_403]) ).
tff(c_570,plain,
! [W1_417,W0_418] :
( aElement0(W1_417)
| ~ aElementOf0(W1_417,W0_418)
| ~ aSet0(W0_418) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_644,plain,
! [W0_423,W1_424] :
( aElement0('#skF_28'(W0_423,W1_424))
| ~ aSet0(slbdtsldtrb0(W1_424,sz00))
| ~ isCountable0(W1_424)
| ~ aSubsetOf0(W1_424,xS)
| ~ aElementOf0(W0_423,xT) ),
inference(resolution,[status(thm)],[c_361,c_570]) ).
tff(c_646,plain,
! [W0_423] :
( aElement0('#skF_28'(W0_423,xS))
| ~ aSet0(szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_423,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_644]) ).
tff(c_648,plain,
! [W0_423] :
( aElement0('#skF_28'(W0_423,xS))
| ~ aSet0(szDzozmdt0(xc))
| ~ aElementOf0(W0_423,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_520,c_338,c_646]) ).
tff(c_690,plain,
~ aSet0(szDzozmdt0(xc)),
inference(splitLeft,[status(thm)],[c_648]) ).
tff(c_693,plain,
~ aFunction0(xc),
inference(resolution,[status(thm)],[c_262,c_690]) ).
tff(c_697,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_346,c_693]) ).
tff(c_699,plain,
aSet0(szDzozmdt0(xc)),
inference(splitRight,[status(thm)],[c_648]) ).
tff(c_10,plain,
! [W0_7] :
( ( slcrc0 = W0_7 )
| aElementOf0('#skF_1'(W0_7),W0_7)
| ~ aSet0(W0_7) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_43014,plain,
! [W3_1598,W0_1599,W1_1600] :
( aSubsetOf0(W3_1598,W0_1599)
| ~ aElementOf0(W3_1598,slbdtsldtrb0(W0_1599,W1_1600))
| ~ aElementOf0(W1_1600,szNzAzT0)
| ~ aSet0(W0_1599) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_43037,plain,
! [W3_1598] :
( aSubsetOf0(W3_1598,xS)
| ~ aElementOf0(W3_1598,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_43014]) ).
tff(c_43051,plain,
! [W3_1601] :
( aSubsetOf0(W3_1601,xS)
| ~ aElementOf0(W3_1601,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_367,c_43037]) ).
tff(c_43071,plain,
( aSubsetOf0('#skF_1'(szDzozmdt0(xc)),xS)
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_10,c_43051]) ).
tff(c_43089,plain,
( aSubsetOf0('#skF_1'(szDzozmdt0(xc)),xS)
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_699,c_43071]) ).
tff(c_43090,plain,
aSubsetOf0('#skF_1'(szDzozmdt0(xc)),xS),
inference(negUnitSimplification,[status(thm)],[c_1139,c_43089]) ).
tff(c_26,plain,
! [W1_20,W0_14] :
( aSet0(W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_43099,plain,
( aSet0('#skF_1'(szDzozmdt0(xc)))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_43090,c_26]) ).
tff(c_43108,plain,
aSet0('#skF_1'(szDzozmdt0(xc))),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_43099]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_43153,plain,
( ( '#skF_1'(szDzozmdt0(xc)) = slcrc0 )
| ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00 ) ),
inference(resolution,[status(thm)],[c_43108,c_156]) ).
tff(c_43416,plain,
sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00,
inference(splitLeft,[status(thm)],[c_43153]) ).
tff(c_44243,plain,
! [W3_1657,W1_1658,W0_1659] :
( ( sbrdtbr0(W3_1657) = W1_1658 )
| ~ aElementOf0(W3_1657,slbdtsldtrb0(W0_1659,W1_1658))
| ~ aElementOf0(W1_1658,szNzAzT0)
| ~ aSet0(W0_1659) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_44270,plain,
! [W3_1657] :
( ( sbrdtbr0(W3_1657) = sz00 )
| ~ aElementOf0(W3_1657,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_44243]) ).
tff(c_44285,plain,
! [W3_1660] :
( ( sbrdtbr0(W3_1660) = sz00 )
| ~ aElementOf0(W3_1660,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_367,c_44270]) ).
tff(c_44309,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_10,c_44285]) ).
tff(c_44328,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_699,c_44309]) ).
tff(c_44330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1139,c_43416,c_44328]) ).
tff(c_44331,plain,
'#skF_1'(szDzozmdt0(xc)) = slcrc0,
inference(splitRight,[status(thm)],[c_43153]) ).
tff(c_44342,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(superposition,[status(thm),theory(equality)],[c_44331,c_10]) ).
tff(c_44349,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_699,c_44342]) ).
tff(c_44350,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_1139,c_44349]) ).
tff(c_334,plain,
aSet0(xT),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_342,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_47684,plain,
! [W0_1779,W1_1780] :
( aElementOf0(sdtlpdtrp0(W0_1779,W1_1780),sdtlcdtrc0(W0_1779,szDzozmdt0(W0_1779)))
| ~ aElementOf0(W1_1780,szDzozmdt0(W0_1779))
| ~ aFunction0(W0_1779) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_24,plain,
! [W2_23,W0_14,W1_20] :
( aElementOf0(W2_23,W0_14)
| ~ aElementOf0(W2_23,W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_167070,plain,
! [W0_4168,W1_4169,W0_4170] :
( aElementOf0(sdtlpdtrp0(W0_4168,W1_4169),W0_4170)
| ~ aSubsetOf0(sdtlcdtrc0(W0_4168,szDzozmdt0(W0_4168)),W0_4170)
| ~ aSet0(W0_4170)
| ~ aElementOf0(W1_4169,szDzozmdt0(W0_4168))
| ~ aFunction0(W0_4168) ),
inference(resolution,[status(thm)],[c_47684,c_24]) ).
tff(c_167115,plain,
! [W1_4169] :
( aElementOf0(sdtlpdtrp0(xc,W1_4169),xT)
| ~ aSet0(xT)
| ~ aElementOf0(W1_4169,szDzozmdt0(xc))
| ~ aFunction0(xc) ),
inference(resolution,[status(thm)],[c_342,c_167070]) ).
tff(c_167146,plain,
! [W1_4169] :
( aElementOf0(sdtlpdtrp0(xc,W1_4169),xT)
| ~ aElementOf0(W1_4169,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_334,c_167115]) ).
tff(c_167148,plain,
! [W1_4171] :
( aElementOf0(sdtlpdtrp0(xc,W1_4171),xT)
| ~ aElementOf0(W1_4171,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_334,c_167115]) ).
tff(c_44405,plain,
! [W3_1663,W1_1664,W0_1665] :
( ( sbrdtbr0(W3_1663) = W1_1664 )
| ~ aElementOf0(W3_1663,slbdtsldtrb0(W0_1665,W1_1664))
| ~ aElementOf0(W1_1664,szNzAzT0)
| ~ aSet0(W0_1665) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_44431,plain,
! [W0_381,W1_385] :
( ( sbrdtbr0('#skF_28'(W0_381,W1_385)) = sz00 )
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(W1_385)
| ~ isCountable0(W1_385)
| ~ aSubsetOf0(W1_385,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(resolution,[status(thm)],[c_361,c_44405]) ).
tff(c_44441,plain,
! [W0_381,W1_385] :
( ( sbrdtbr0('#skF_28'(W0_381,W1_385)) = sz00 )
| ~ aSet0(W1_385)
| ~ isCountable0(W1_385)
| ~ aSubsetOf0(W1_385,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_367,c_44431]) ).
tff(c_519,plain,
! [W0_381] :
( aElementOf0('#skF_28'(W0_381,xS),szDzozmdt0(xc))
| ~ aElementOf0(W0_381,xT) ),
inference(splitRight,[status(thm)],[c_403]) ).
tff(c_43274,plain,
! [W0_1605] :
( aSubsetOf0('#skF_28'(W0_1605,xS),xS)
| ~ aElementOf0(W0_1605,xT) ),
inference(resolution,[status(thm)],[c_519,c_43051]) ).
tff(c_43282,plain,
! [W0_1605] :
( aSet0('#skF_28'(W0_1605,xS))
| ~ aSet0(xS)
| ~ aElementOf0(W0_1605,xT) ),
inference(resolution,[status(thm)],[c_43274,c_26]) ).
tff(c_43292,plain,
! [W0_1606] :
( aSet0('#skF_28'(W0_1606,xS))
| ~ aElementOf0(W0_1606,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_558,c_43282]) ).
tff(c_45457,plain,
! [W0_1712] :
( ( '#skF_28'(W0_1712,xS) = slcrc0 )
| ( sbrdtbr0('#skF_28'(W0_1712,xS)) != sz00 )
| ~ aElementOf0(W0_1712,xT) ),
inference(resolution,[status(thm)],[c_43292,c_156]) ).
tff(c_45461,plain,
! [W0_381] :
( ( '#skF_28'(W0_381,xS) = slcrc0 )
| ~ aSet0(xS)
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_44441,c_45457]) ).
tff(c_45467,plain,
! [W0_381] :
( ( '#skF_28'(W0_381,xS) = slcrc0 )
| ~ aElementOf0(W0_381,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_520,c_338,c_558,c_45461]) ).
tff(c_167587,plain,
! [W1_4173] :
( ( '#skF_28'(sdtlpdtrp0(xc,W1_4173),xS) = slcrc0 )
| ~ aElementOf0(W1_4173,szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_167148,c_45467]) ).
tff(c_167974,plain,
'#skF_28'(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0,
inference(resolution,[status(thm)],[c_44350,c_167587]) ).
tff(c_358,plain,
! [W0_381,W1_385] :
( ( sdtlpdtrp0(xc,'#skF_28'(W0_381,W1_385)) != W0_381 )
| ~ isCountable0(W1_385)
| ~ aSubsetOf0(W1_385,xS)
| ~ aElementOf0(W0_381,xT) ),
inference(cnfTransformation,[status(thm)],[f_716]) ).
tff(c_168348,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(superposition,[status(thm),theory(equality)],[c_167974,c_358]) ).
tff(c_168486,plain,
~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(demodulation,[status(thm),theory(equality)],[c_520,c_338,c_168348]) ).
tff(c_168490,plain,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(resolution,[status(thm)],[c_167146,c_168486]) ).
tff(c_168496,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44350,c_168490]) ).
tff(c_168497,plain,
isFinite0(xS),
inference(splitRight,[status(thm)],[c_1138]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_168501,plain,
( ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_168497,c_20]) ).
tff(c_168505,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_338,c_168501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM563+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 15:03:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 47.59/31.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.59/31.88
% 47.59/31.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 47.83/31.92
% 47.83/31.92 Inference rules
% 47.83/31.92 ----------------------
% 47.83/31.92 #Ref : 4
% 47.83/31.92 #Sup : 34655
% 47.83/31.92 #Fact : 0
% 47.83/31.92 #Define : 0
% 47.83/31.92 #Split : 370
% 47.83/31.92 #Chain : 0
% 47.83/31.92 #Close : 0
% 47.83/31.92
% 47.83/31.92 Ordering : KBO
% 47.83/31.92
% 47.83/31.92 Simplification rules
% 47.83/31.92 ----------------------
% 47.83/31.92 #Subsume : 11587
% 47.83/31.92 #Demod : 41599
% 47.83/31.92 #Tautology : 7492
% 47.83/31.92 #SimpNegUnit : 3017
% 47.83/31.92 #BackRed : 522
% 47.83/31.92
% 47.83/31.92 #Partial instantiations: 0
% 47.83/31.92 #Strategies tried : 1
% 47.83/31.92
% 47.83/31.92 Timing (in seconds)
% 47.83/31.92 ----------------------
% 47.83/31.93 Preprocessing : 0.88
% 47.83/31.93 Parsing : 0.40
% 47.83/31.93 CNF conversion : 0.10
% 47.83/31.93 Main loop : 29.95
% 47.83/31.93 Inferencing : 6.94
% 47.83/31.93 Reduction : 12.46
% 47.83/31.93 Demodulation : 9.18
% 47.83/31.93 BG Simplification : 0.29
% 47.83/31.93 Subsumption : 8.56
% 47.83/31.93 Abstraction : 0.46
% 47.83/31.93 MUC search : 0.00
% 47.83/31.93 Cooper : 0.00
% 47.83/31.93 Total : 30.90
% 47.83/31.93 Index Insertion : 0.00
% 47.83/31.93 Index Deletion : 0.00
% 47.83/31.93 Index Matching : 0.00
% 47.83/31.93 BG Taut test : 0.00
%------------------------------------------------------------------------------