TSTP Solution File: NUM573+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM573+3 : 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 : n009.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 10:52:10 EDT 2023
% Result : Theorem 92.90s 68.89s
% Output : CNFRefutation 92.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 91
% Syntax : Number of formulae : 180 ( 40 unt; 73 typ; 4 def)
% Number of atoms : 297 ( 60 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 307 ( 117 ~; 116 |; 37 &)
% ( 7 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 127 ( 60 >; 67 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 13 con; 0-4 aty)
% Number of variables : 78 (; 75 !; 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 > xk > xj > xi > xc > xT > xS > xN > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_38 > #skF_37 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_39 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(xj,type,
xj: $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('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $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(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('#skF_38',type,
'#skF_38': $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(xi,type,
xi: $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_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': $i ).
tff('#skF_35',type,
'#skF_35': ( $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(xN,type,
xN: $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_26',type,
'#skF_26': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $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('#skF_27',type,
'#skF_27': $i > $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $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_920,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [W0] :
( aElementOf0(W0,szNzAzT0)
& ( szszuzczcdt0(W0) = xi ) ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_72,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ( W0 != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
tff(f_889,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
tff(f_236,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( W0 = sz00 )
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( W0 = szszuzczcdt0(W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
tff(f_227,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( szszuzczcdt0(W0) = szszuzczcdt0(W1) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
tff(f_314,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_886,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
tff(f_873,hypothesis,
( aFunction0(xN)
& ( szDzozmdt0(xN) = szNzAzT0 )
& ( sdtlpdtrp0(xN,sz00) = xS )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
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_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/sandbox/benchmark/theBenchmark.p',mDefMin) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_904,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( iLess0(W0,xi)
=> ( ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
tff(c_8414,plain,
aElementOf0('#skF_39',sdtlpdtrp0(xN,xi)),
inference(cnfTransformation,[status(thm)],[f_920]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_22,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_8427,plain,
~ isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_8404,plain,
aElementOf0(xj,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_118,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_120,plain,
! [W0_75] :
( aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_8420,plain,
aElementOf0('#skF_38',szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_920]) ).
tff(c_8418,plain,
szszuzczcdt0('#skF_38') = xi,
inference(cnfTransformation,[status(thm)],[f_920]) ).
tff(c_11499,plain,
! [W1_759,W0_760] :
( ( W1_759 = W0_760 )
| ( szszuzczcdt0(W1_759) != szszuzczcdt0(W0_760) )
| ~ aElementOf0(W1_759,szNzAzT0)
| ~ aElementOf0(W0_760,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_11509,plain,
! [W0_760] :
( ( W0_760 = '#skF_38' )
| ( szszuzczcdt0(W0_760) != xi )
| ~ aElementOf0('#skF_38',szNzAzT0)
| ~ aElementOf0(W0_760,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8418,c_11499]) ).
tff(c_11636,plain,
! [W0_762] :
( ( W0_762 = '#skF_38' )
| ( szszuzczcdt0(W0_762) != xi )
| ~ aElementOf0(W0_762,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_11509]) ).
tff(c_12092,plain,
! [W0_788] :
( ( '#skF_7'(W0_788) = '#skF_38' )
| ( szszuzczcdt0('#skF_7'(W0_788)) != xi )
| ( sz00 = W0_788 )
| ~ aElementOf0(W0_788,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_11636]) ).
tff(c_12652,plain,
! [W0_817] :
( ( '#skF_7'(W0_817) = '#skF_38' )
| ( xi != W0_817 )
| ( sz00 = W0_817 )
| ~ aElementOf0(W0_817,szNzAzT0)
| ( sz00 = W0_817 )
| ~ aElementOf0(W0_817,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_12092]) ).
tff(c_12696,plain,
( ( '#skF_7'(xj) = '#skF_38' )
| ( xj != xi )
| ( xj = sz00 )
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8404,c_12652]) ).
tff(c_12750,plain,
( ( '#skF_7'(xj) = '#skF_38' )
| ( xj != xi )
| ( xj = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8404,c_12696]) ).
tff(c_12851,plain,
xj != xi,
inference(splitLeft,[status(thm)],[c_12750]) ).
tff(c_8422,plain,
sdtlseqdt0(xj,xi),
inference(cnfTransformation,[status(thm)],[f_920]) ).
tff(c_8402,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_12514,plain,
! [W1_802,W0_803] :
( sdtlseqdt0(szszuzczcdt0(W1_802),W0_803)
| sdtlseqdt0(W0_803,W1_802)
| ~ aElementOf0(W1_802,szNzAzT0)
| ~ aElementOf0(W0_803,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_12527,plain,
! [W0_803] :
( sdtlseqdt0(xi,W0_803)
| sdtlseqdt0(W0_803,'#skF_38')
| ~ aElementOf0('#skF_38',szNzAzT0)
| ~ aElementOf0(W0_803,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8418,c_12514]) ).
tff(c_12534,plain,
! [W0_803] :
( sdtlseqdt0(xi,W0_803)
| sdtlseqdt0(W0_803,'#skF_38')
| ~ aElementOf0(W0_803,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_12527]) ).
tff(c_14199,plain,
! [W1_861,W0_862] :
( ( W1_861 = W0_862 )
| ~ sdtlseqdt0(W1_861,W0_862)
| ~ sdtlseqdt0(W0_862,W1_861)
| ~ aElementOf0(W1_861,szNzAzT0)
| ~ aElementOf0(W0_862,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_14207,plain,
! [W0_803] :
( ( xi = W0_803 )
| ~ sdtlseqdt0(W0_803,xi)
| ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(W0_803,'#skF_38')
| ~ aElementOf0(W0_803,szNzAzT0) ),
inference(resolution,[status(thm)],[c_12534,c_14199]) ).
tff(c_17037,plain,
! [W0_930] :
( ( xi = W0_930 )
| ~ sdtlseqdt0(W0_930,xi)
| sdtlseqdt0(W0_930,'#skF_38')
| ~ aElementOf0(W0_930,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8402,c_14207]) ).
tff(c_17085,plain,
( ( xj = xi )
| sdtlseqdt0(xj,'#skF_38')
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8422,c_17037]) ).
tff(c_17132,plain,
( ( xj = xi )
| sdtlseqdt0(xj,'#skF_38') ),
inference(demodulation,[status(thm),theory(equality)],[c_8404,c_17085]) ).
tff(c_17133,plain,
sdtlseqdt0(xj,'#skF_38'),
inference(negUnitSimplification,[status(thm)],[c_12851,c_17132]) ).
tff(c_8557,plain,
! [W0_601] :
( iLess0(W0_601,szszuzczcdt0(W0_601))
| ~ aElementOf0(W0_601,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_314]) ).
tff(c_8563,plain,
( iLess0('#skF_38',xi)
| ~ aElementOf0('#skF_38',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8418,c_8557]) ).
tff(c_8567,plain,
iLess0('#skF_38',xi),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_8563]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_8425,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_8396,plain,
! [W0_581] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_581),szNzAzT0)
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_8394,plain,
! [W0_581] :
( isCountable0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_21013,plain,
! [W0_1017] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1017),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0_1017)))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1017))
| ~ aElementOf0(W0_1017,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_21031,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,'#skF_38'))
| ~ aElementOf0('#skF_38',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8418,c_21013]) ).
tff(c_21035,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,'#skF_38')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_21031]) ).
tff(c_21053,plain,
~ isCountable0(sdtlpdtrp0(xN,'#skF_38')),
inference(splitLeft,[status(thm)],[c_21035]) ).
tff(c_21056,plain,
~ aElementOf0('#skF_38',szNzAzT0),
inference(resolution,[status(thm)],[c_8394,c_21053]) ).
tff(c_21060,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_21056]) ).
tff(c_21061,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(splitRight,[status(thm)],[c_21035]) ).
tff(c_21063,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0),
inference(splitLeft,[status(thm)],[c_21061]) ).
tff(c_21069,plain,
~ aElementOf0('#skF_38',szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_21063]) ).
tff(c_21074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_21069]) ).
tff(c_21076,plain,
aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0),
inference(splitRight,[status(thm)],[c_21061]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
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_21116,plain,
( aSet0(sdtlpdtrp0(xN,'#skF_38'))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_21076,c_26]) ).
tff(c_21129,plain,
aSet0(sdtlpdtrp0(xN,'#skF_38')),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_21116]) ).
tff(c_9175,plain,
! [W0_638] :
( aElementOf0(szmzizndt0(W0_638),W0_638)
| ( slcrc0 = W0_638 )
| ~ aSubsetOf0(W0_638,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_6,plain,
! [W1_5,W0_3] :
( aElement0(W1_5)
| ~ aElementOf0(W1_5,W0_3)
| ~ aSet0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_9221,plain,
! [W0_638] :
( aElement0(szmzizndt0(W0_638))
| ~ aSet0(W0_638)
| ( slcrc0 = W0_638 )
| ~ aSubsetOf0(W0_638,szNzAzT0) ),
inference(resolution,[status(thm)],[c_9175,c_6]) ).
tff(c_21062,plain,
isCountable0(sdtlpdtrp0(xN,'#skF_38')),
inference(splitRight,[status(thm)],[c_21035]) ).
tff(c_8376,plain,
! [W0_573] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_573),szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,W0_573),szmzizndt0(sdtlpdtrp0(xN,W0_573))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_573))
| ~ aElementOf0(W0_573,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_41408,plain,
! [W0_1311] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1311),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0_1311)),sdtmndt0(sdtlpdtrp0(xN,W0_1311),szmzizndt0(sdtlpdtrp0(xN,W0_1311))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1311))
| ~ aElementOf0(W0_1311,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_41454,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38'))))
| ~ isCountable0(sdtlpdtrp0(xN,'#skF_38'))
| ~ aElementOf0('#skF_38',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8418,c_41408]) ).
tff(c_41470,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38')))),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_21062,c_21076,c_41454]) ).
tff(c_9911,plain,
! [W2_703,W0_704,W1_705] :
( aElementOf0(W2_703,W0_704)
| ~ aElementOf0(W2_703,W1_705)
| ~ aSubsetOf0(W1_705,W0_704)
| ~ aSet0(W0_704) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_9968,plain,
! [W0_704] :
( aElementOf0('#skF_39',W0_704)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),W0_704)
| ~ aSet0(W0_704) ),
inference(resolution,[status(thm)],[c_8414,c_9911]) ).
tff(c_41514,plain,
( aElementOf0('#skF_39',sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38'))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38')))) ),
inference(resolution,[status(thm)],[c_41470,c_9968]) ).
tff(c_41672,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38')))),
inference(splitLeft,[status(thm)],[c_41514]) ).
tff(c_41678,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,'#skF_38'))
| ~ aElementOf0('#skF_38',szNzAzT0) ),
inference(resolution,[status(thm)],[c_8376,c_41672]) ).
tff(c_41688,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_21062,c_21076,c_41678]) ).
tff(c_41689,plain,
aElementOf0('#skF_39',sdtmndt0(sdtlpdtrp0(xN,'#skF_38'),szmzizndt0(sdtlpdtrp0(xN,'#skF_38')))),
inference(splitRight,[status(thm)],[c_41514]) ).
tff(c_74,plain,
! [W3_54,W0_44,W1_45] :
( aElementOf0(W3_54,W0_44)
| ~ aElementOf0(W3_54,sdtmndt0(W0_44,W1_45))
| ~ aElement0(W1_45)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_41700,plain,
( aElementOf0('#skF_39',sdtlpdtrp0(xN,'#skF_38'))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_38')))
| ~ aSet0(sdtlpdtrp0(xN,'#skF_38')) ),
inference(resolution,[status(thm)],[c_41689,c_74]) ).
tff(c_41716,plain,
( aElementOf0('#skF_39',sdtlpdtrp0(xN,'#skF_38'))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_38'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_21129,c_41700]) ).
tff(c_41725,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_38'))),
inference(splitLeft,[status(thm)],[c_41716]) ).
tff(c_41728,plain,
( ~ aSet0(sdtlpdtrp0(xN,'#skF_38'))
| ( sdtlpdtrp0(xN,'#skF_38') = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_38'),szNzAzT0) ),
inference(resolution,[status(thm)],[c_9221,c_41725]) ).
tff(c_41731,plain,
sdtlpdtrp0(xN,'#skF_38') = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_21076,c_21129,c_41728]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_21133,plain,
( ( sdtlpdtrp0(xN,'#skF_38') = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,'#skF_38')) != sz00 ) ),
inference(resolution,[status(thm)],[c_21129,c_156]) ).
tff(c_21154,plain,
sbrdtbr0(sdtlpdtrp0(xN,'#skF_38')) != sz00,
inference(splitLeft,[status(thm)],[c_21133]) ).
tff(c_41912,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_41731,c_21154]) ).
tff(c_41918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8425,c_41912]) ).
tff(c_41919,plain,
aElementOf0('#skF_39',sdtlpdtrp0(xN,'#skF_38')),
inference(splitRight,[status(thm)],[c_41716]) ).
tff(c_8408,plain,
! [W2_587,W1_585,W0_584] :
( aElementOf0(W2_587,sdtlpdtrp0(xN,W1_585))
| ~ aElementOf0(W2_587,sdtlpdtrp0(xN,W0_584))
| ~ iLess0(W0_584,xi)
| ~ sdtlseqdt0(W1_585,W0_584)
| ~ aElementOf0(W1_585,szNzAzT0)
| ~ aElementOf0(W0_584,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_904]) ).
tff(c_41922,plain,
! [W1_585] :
( aElementOf0('#skF_39',sdtlpdtrp0(xN,W1_585))
| ~ iLess0('#skF_38',xi)
| ~ sdtlseqdt0(W1_585,'#skF_38')
| ~ aElementOf0(W1_585,szNzAzT0)
| ~ aElementOf0('#skF_38',szNzAzT0) ),
inference(resolution,[status(thm)],[c_41919,c_8408]) ).
tff(c_42291,plain,
! [W1_1322] :
( aElementOf0('#skF_39',sdtlpdtrp0(xN,W1_1322))
| ~ sdtlseqdt0(W1_1322,'#skF_38')
| ~ aElementOf0(W1_1322,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8420,c_8567,c_41922]) ).
tff(c_8412,plain,
~ aElementOf0('#skF_39',sdtlpdtrp0(xN,xj)),
inference(cnfTransformation,[status(thm)],[f_920]) ).
tff(c_42306,plain,
( ~ sdtlseqdt0(xj,'#skF_38')
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c_42291,c_8412]) ).
tff(c_42326,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8404,c_17133,c_42306]) ).
tff(c_42327,plain,
sdtlpdtrp0(xN,'#skF_38') = slcrc0,
inference(splitRight,[status(thm)],[c_21133]) ).
tff(c_42331,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_42327,c_21062]) ).
tff(c_42335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8427,c_42331]) ).
tff(c_42337,plain,
xj = xi,
inference(splitRight,[status(thm)],[c_12750]) ).
tff(c_42544,plain,
~ aElementOf0('#skF_39',sdtlpdtrp0(xN,xi)),
inference(demodulation,[status(thm),theory(equality)],[c_42337,c_8412]) ).
tff(c_42550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_42544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n009.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 14:51:53 EDT 2023
% 0.17/0.35 % CPUTime :
% 92.90/68.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.90/68.90
% 92.90/68.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 92.90/68.94
% 92.90/68.94 Inference rules
% 92.90/68.94 ----------------------
% 92.90/68.94 #Ref : 1
% 92.90/68.94 #Sup : 6229
% 92.90/68.94 #Fact : 4
% 92.90/68.94 #Define : 0
% 92.90/68.94 #Split : 171
% 92.90/68.94 #Chain : 0
% 92.90/68.94 #Close : 0
% 92.90/68.94
% 92.90/68.94 Ordering : KBO
% 92.90/68.94
% 92.90/68.94 Simplification rules
% 92.90/68.94 ----------------------
% 92.90/68.94 #Subsume : 2066
% 92.90/68.94 #Demod : 6420
% 92.90/68.94 #Tautology : 1158
% 92.90/68.94 #SimpNegUnit : 598
% 92.90/68.94 #BackRed : 214
% 92.90/68.94
% 92.90/68.94 #Partial instantiations: 0
% 92.90/68.94 #Strategies tried : 1
% 92.90/68.94
% 92.90/68.94 Timing (in seconds)
% 92.90/68.94 ----------------------
% 92.90/68.94 Preprocessing : 2.09
% 92.90/68.94 Parsing : 0.43
% 92.90/68.94 CNF conversion : 0.16
% 92.90/68.94 Main loop : 65.61
% 92.90/68.94 Inferencing : 1.85
% 92.90/68.94 Reduction : 45.60
% 92.90/68.94 Demodulation : 38.76
% 92.90/68.94 BG Simplification : 0.75
% 92.90/68.95 Subsumption : 15.10
% 92.90/68.95 Abstraction : 0.56
% 92.90/68.95 MUC search : 0.00
% 92.90/68.95 Cooper : 0.00
% 92.90/68.95 Total : 67.78
% 92.90/68.95 Index Insertion : 0.00
% 92.90/68.95 Index Deletion : 0.00
% 92.90/68.95 Index Matching : 0.00
% 92.90/68.95 BG Taut test : 0.00
%------------------------------------------------------------------------------