TSTP Solution File: NUM620+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 10:52:21 EDT 2023
% Result : Theorem 36.24s 21.66s
% Output : CNFRefutation 36.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 98
% Syntax : Number of formulae : 206 ( 54 unt; 73 typ; 4 def)
% Number of atoms : 318 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 331 ( 146 ~; 119 |; 33 &)
% ( 6 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 106 ( 54 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 19 con; 0-4 aty)
% Number of variables : 93 (; 90 !; 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 > xx > xp > xn > xm > xk > xe > xd > xc > xT > xS > xQ > xP > xO > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_31 > #skF_18 > #skF_4 > #skF_29 > #skF_12 > #skF_23 > #skF_28 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_24 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_21 > #skF_9 > #skF_22 > #skF_30 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
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(xd,type,
xd: $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_31',type,
'#skF_31': $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(xe,type,
xe: $i ).
tff(xP,type,
xP: $i ).
tff('#skF_29',type,
'#skF_29': $i > $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(xx,type,
xx: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': $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(xN,type,
xN: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xC,type,
xC: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $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(xO,type,
xO: $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(xQ,type,
xQ: $i ).
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(xp,type,
xp: $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(xn,type,
xn: $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_30',type,
'#skF_30': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_892,hypothesis,
( aElementOf0(xm,szNzAzT0)
& ( xx = sdtlpdtrp0(xe,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
tff(f_730,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
tff(f_889,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_884,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& ( sdtlpdtrp0(xe,xn) = xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
tff(f_897,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_190,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
tff(f_156,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtmndt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& ( W3 != W1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_893,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
tff(f_809,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ? [W1] :
( aElementOf0(W1,xT)
& ? [W2] :
( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(W2)
& ! [W3] :
( ( aSet0(W3)
& aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4411) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_360,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
tff(f_119,axiom,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
tff(f_388,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzizndt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
tff(f_208,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isFinite0(W1) )
=> isFinite0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
tff(f_708,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
tff(f_774,hypothesis,
( aFunction0(xC)
& ( szDzozmdt0(xC) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& ( szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk) )
& ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
tff(f_496,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(W0,W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_488,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_892]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_484,plain,
aElementOf0(xx,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_786,plain,
! [W1_441,W0_442] :
( aElement0(W1_441)
| ~ aElementOf0(W1_441,W0_442)
| ~ aSet0(W0_442) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_816,plain,
( aElement0(xx)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_484,c_786]) ).
tff(c_853,plain,
aElement0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_816]) ).
tff(c_474,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_884]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_1042,plain,
! [W0_461] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_461),szNzAzT0)
| ~ aElementOf0(W0_461,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
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_1045,plain,
! [W0_461] :
( aSet0(sdtlpdtrp0(xN,W0_461))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_461,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1042,c_26]) ).
tff(c_1054,plain,
! [W0_462] :
( aSet0(sdtlpdtrp0(xN,W0_462))
| ~ aElementOf0(W0_462,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_1045]) ).
tff(c_494,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnfTransformation,[status(thm)],[f_897]) ).
tff(c_720,plain,
! [W1_439,W0_440] :
( aSet0(W1_439)
| ~ aSubsetOf0(W1_439,W0_440)
| ~ aSet0(W0_440) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_774,plain,
( aSet0(sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[status(thm)],[c_494,c_720]) ).
tff(c_869,plain,
~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_774]) ).
tff(c_1064,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[c_1054,c_869]) ).
tff(c_1070,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_1064]) ).
tff(c_1074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_1070]) ).
tff(c_1075,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_774]) ).
tff(c_100,plain,
! [W1_65,W0_63] :
( isCountable0(sdtmndt0(W1_65,W0_63))
| ~ isCountable0(W1_65)
| ~ aSet0(W1_65)
| ~ aElement0(W0_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_70,plain,
! [W0_44,W1_45] :
( aSet0(sdtmndt0(W0_44,W1_45))
| ~ aElement0(W1_45)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_490,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
inference(cnfTransformation,[status(thm)],[f_893]) ).
tff(c_16087,plain,
! [W0_1136] :
( aSubsetOf0('#skF_29'(W0_1136),sdtmndt0(sdtlpdtrp0(xN,W0_1136),szmzizndt0(sdtlpdtrp0(xN,W0_1136))))
| ~ aElementOf0(W0_1136,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_809]) ).
tff(c_16101,plain,
( aSubsetOf0('#skF_29'(xm),sdtmndt0(sdtlpdtrp0(xN,xm),xx))
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_16087]) ).
tff(c_16112,plain,
aSubsetOf0('#skF_29'(xm),sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(demodulation,[status(thm),theory(equality)],[c_488,c_16101]) ).
tff(c_16139,plain,
( aSet0('#skF_29'(xm))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)) ),
inference(resolution,[status(thm)],[c_16112,c_26]) ).
tff(c_18806,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(splitLeft,[status(thm)],[c_16139]) ).
tff(c_18809,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_70,c_18806]) ).
tff(c_18813,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_853,c_18809]) ).
tff(c_18815,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(splitRight,[status(thm)],[c_16139]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_492,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnfTransformation,[status(thm)],[f_897]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_14223,plain,
! [W0_1065,W1_1066] :
( aElementOf0('#skF_2'(W0_1065,W1_1066),W1_1066)
| aSubsetOf0(W1_1066,W0_1065)
| ~ aSet0(W1_1066)
| ~ aSet0(W0_1065) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_14276,plain,
! [W0_1065] :
( aSubsetOf0(slcrc0,W0_1065)
| ~ aSet0(slcrc0)
| ~ aSet0(W0_1065) ),
inference(resolution,[status(thm)],[c_14223,c_12]) ).
tff(c_14304,plain,
! [W0_1065] :
( aSubsetOf0(slcrc0,W0_1065)
| ~ aSet0(W0_1065) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14276]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_500,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_14575,plain,
! [W1_1074,W0_1075] :
( sdtlseqdt0(sbrdtbr0(W1_1074),sbrdtbr0(W0_1075))
| ~ aSubsetOf0(W1_1074,W0_1075)
| ~ isFinite0(W0_1075)
| ~ aSet0(W0_1075) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_14593,plain,
! [W1_1074] :
( sdtlseqdt0(sbrdtbr0(W1_1074),sz00)
| ~ aSubsetOf0(W1_1074,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_14575]) ).
tff(c_14837,plain,
! [W1_1089] :
( sdtlseqdt0(sbrdtbr0(W1_1089),sz00)
| ~ aSubsetOf0(W1_1089,slcrc0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_14593]) ).
tff(c_14846,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_14837]) ).
tff(c_14847,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(splitLeft,[status(thm)],[c_14846]) ).
tff(c_14850,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c_14304,c_14847]) ).
tff(c_14857,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14850]) ).
tff(c_14859,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(splitRight,[status(thm)],[c_14846]) ).
tff(c_1076,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_774]) ).
tff(c_16330,plain,
! [W0_1145,W2_1146,W1_1147] :
( aSubsetOf0(W0_1145,W2_1146)
| ~ aSubsetOf0(W1_1147,W2_1146)
| ~ aSubsetOf0(W0_1145,W1_1147)
| ~ aSet0(W2_1146)
| ~ aSet0(W1_1147)
| ~ aSet0(W0_1145) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_16394,plain,
! [W0_1145] :
( aSubsetOf0(W0_1145,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_1145,sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1145) ),
inference(resolution,[status(thm)],[c_494,c_16330]) ).
tff(c_16727,plain,
! [W0_1151] :
( aSubsetOf0(W0_1151,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_1151,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1151) ),
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_1076,c_16394]) ).
tff(c_38,plain,
! [W0_30,W2_32,W1_31] :
( aSubsetOf0(W0_30,W2_32)
| ~ aSubsetOf0(W1_31,W2_32)
| ~ aSubsetOf0(W0_30,W1_31)
| ~ aSet0(W2_32)
| ~ aSet0(W1_31)
| ~ aSet0(W0_30) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_16729,plain,
! [W0_30,W0_1151] :
( aSubsetOf0(W0_30,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_30,W0_1151)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(W0_30)
| ~ aSubsetOf0(W0_1151,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1151) ),
inference(resolution,[status(thm)],[c_16727,c_38]) ).
tff(c_19929,plain,
! [W0_1218,W0_1219] :
( aSubsetOf0(W0_1218,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_1218,W0_1219)
| ~ aSet0(W0_1218)
| ~ aSubsetOf0(W0_1219,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1219) ),
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_16729]) ).
tff(c_19969,plain,
( aSubsetOf0(slcrc0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(slcrc0,sdtlpdtrp0(xN,xm))
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_14859,c_19929]) ).
tff(c_20071,plain,
( aSubsetOf0(slcrc0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(slcrc0,sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_19969]) ).
tff(c_24387,plain,
~ aSubsetOf0(slcrc0,sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_20071]) ).
tff(c_24390,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c_14304,c_24387]) ).
tff(c_24394,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_24390]) ).
tff(c_24396,plain,
aSubsetOf0(slcrc0,sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_20071]) ).
tff(c_24400,plain,
! [W0_30] :
( aSubsetOf0(W0_30,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(W0_30,slcrc0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSet0(slcrc0)
| ~ aSet0(W0_30) ),
inference(resolution,[status(thm)],[c_24396,c_38]) ).
tff(c_29532,plain,
! [W0_1411] :
( aSubsetOf0(W0_1411,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(W0_1411,slcrc0)
| ~ aSet0(W0_1411) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_1075,c_24400]) ).
tff(c_16796,plain,
! [W0_30,W0_1151] :
( aSubsetOf0(W0_30,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_30,W0_1151)
| ~ aSet0(W0_30)
| ~ aSubsetOf0(W0_1151,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1151) ),
inference(demodulation,[status(thm),theory(equality)],[c_1076,c_16729]) ).
tff(c_29638,plain,
! [W0_1411] :
( aSubsetOf0(W0_1411,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(W0_1411,slcrc0)
| ~ aSet0(W0_1411) ),
inference(resolution,[status(thm)],[c_29532,c_16796]) ).
tff(c_29819,plain,
! [W0_1411] :
( aSubsetOf0(W0_1411,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(W0_1411,slcrc0)
| ~ aSet0(W0_1411) ),
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_29638]) ).
tff(c_33544,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_29819]) ).
tff(c_33558,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c_34,c_33544]) ).
tff(c_33568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_33558]) ).
tff(c_33570,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_29819]) ).
tff(c_16478,plain,
! [W0_1145] :
( aSubsetOf0(W0_1145,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(W0_1145,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_1145) ),
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_1076,c_16394]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_2278,plain,
! [W0_553] :
( aElementOf0(szmzizndt0(W0_553),W0_553)
| ( slcrc0 = W0_553 )
| ~ aSubsetOf0(W0_553,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_2300,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_2278]) ).
tff(c_65761,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_2300]) ).
tff(c_65778,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_65761]) ).
tff(c_65785,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_65778]) ).
tff(c_65786,plain,
( ( sdtlpdtrp0(xN,xm) = slcrc0 )
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(splitRight,[status(thm)],[c_2300]) ).
tff(c_65831,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_65786]) ).
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_66193,plain,
! [W0_1938] :
( aElementOf0(xx,W0_1938)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),W0_1938)
| ~ aSet0(W0_1938) ),
inference(resolution,[status(thm)],[c_65831,c_24]) ).
tff(c_66259,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_16478,c_66193]) ).
tff(c_66328,plain,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(demodulation,[status(thm),theory(equality)],[c_1075,c_33570,c_1076,c_66259]) ).
tff(c_66330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_492,c_66328]) ).
tff(c_66331,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(splitRight,[status(thm)],[c_65786]) ).
tff(c_104,plain,
! [W1_71,W0_69] :
( isFinite0(sdtmndt0(W1_71,W0_69))
| ~ isFinite0(W1_71)
| ~ aSet0(W1_71)
| ~ aElement0(W0_69) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_362,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_19353,plain,
! [W0_1202] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_1202),szmzizndt0(sdtlpdtrp0(xN,W0_1202))),xk) = szDzozmdt0(sdtlpdtrp0(xC,W0_1202)) )
| ~ aElementOf0(W0_1202,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_19382,plain,
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xm),xx),xk) = szDzozmdt0(sdtlpdtrp0(xC,xm)) )
| ~ aElementOf0(xm,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_19353]) ).
tff(c_19405,plain,
slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xm),xx),xk) = szDzozmdt0(sdtlpdtrp0(xC,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_488,c_19382]) ).
tff(c_246,plain,
! [W0_162,W1_164] :
( isFinite0(slbdtsldtrb0(W0_162,W1_164))
| ~ aElementOf0(W1_164,szNzAzT0)
| ~ isFinite0(W0_162)
| ~ aSet0(W0_162) ),
inference(cnfTransformation,[status(thm)],[f_496]) ).
tff(c_32318,plain,
( isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xm)))
| ~ aElementOf0(xk,szNzAzT0)
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xm),xx))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_19405,c_246]) ).
tff(c_32344,plain,
( isFinite0(szDzozmdt0(sdtlpdtrp0(xC,xm)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_18815,c_362,c_32318]) ).
tff(c_34260,plain,
~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(splitLeft,[status(thm)],[c_32344]) ).
tff(c_34263,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c_104,c_34260]) ).
tff(c_34266,plain,
~ isFinite0(sdtlpdtrp0(xN,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_853,c_1075,c_34263]) ).
tff(c_66366,plain,
~ isFinite0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_66331,c_34266]) ).
tff(c_66416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_66366]) ).
tff(c_66418,plain,
isFinite0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(splitRight,[status(thm)],[c_32344]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_66460,plain,
( ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xm),xx))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)) ),
inference(resolution,[status(thm)],[c_66418,c_20]) ).
tff(c_66463,plain,
~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xm),xx)),
inference(demodulation,[status(thm),theory(equality)],[c_18815,c_66460]) ).
tff(c_66466,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c_100,c_66463]) ).
tff(c_66469,plain,
~ isCountable0(sdtlpdtrp0(xN,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_853,c_1075,c_66466]) ).
tff(c_66472,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_374,c_66469]) ).
tff(c_66476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_66472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM620+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n028.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 15:11:39 EDT 2023
% 0.17/0.36 % CPUTime :
% 36.24/21.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.24/21.68
% 36.24/21.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 36.24/21.72
% 36.24/21.72 Inference rules
% 36.24/21.72 ----------------------
% 36.24/21.72 #Ref : 6
% 36.24/21.72 #Sup : 12833
% 36.24/21.72 #Fact : 4
% 36.24/21.72 #Define : 0
% 36.24/21.72 #Split : 418
% 36.24/21.72 #Chain : 0
% 36.24/21.72 #Close : 0
% 36.24/21.72
% 36.24/21.72 Ordering : KBO
% 36.24/21.72
% 36.24/21.72 Simplification rules
% 36.24/21.72 ----------------------
% 36.24/21.72 #Subsume : 2601
% 36.24/21.72 #Demod : 13895
% 36.24/21.72 #Tautology : 2194
% 36.24/21.72 #SimpNegUnit : 773
% 36.24/21.72 #BackRed : 343
% 36.24/21.72
% 36.24/21.72 #Partial instantiations: 0
% 36.24/21.72 #Strategies tried : 1
% 36.24/21.72
% 36.24/21.72 Timing (in seconds)
% 36.24/21.72 ----------------------
% 36.24/21.73 Preprocessing : 0.91
% 36.24/21.73 Parsing : 0.45
% 36.24/21.73 CNF conversion : 0.09
% 36.24/21.73 Main loop : 19.71
% 36.24/21.73 Inferencing : 4.00
% 36.24/21.73 Reduction : 9.84
% 36.24/21.73 Demodulation : 7.61
% 36.24/21.73 BG Simplification : 0.17
% 36.24/21.73 Subsumption : 4.59
% 36.24/21.73 Abstraction : 0.23
% 36.24/21.73 MUC search : 0.00
% 36.24/21.73 Cooper : 0.00
% 36.24/21.73 Total : 20.70
% 36.24/21.73 Index Insertion : 0.00
% 36.24/21.73 Index Deletion : 0.00
% 36.24/21.73 Index Matching : 0.00
% 36.24/21.73 BG Taut test : 0.00
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