TSTP Solution File: NUM579+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM579+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 : 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 10:52:12 EDT 2023
% Result : Theorem 91.41s 69.65s
% Output : CNFRefutation 91.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 85
% Syntax : Number of formulae : 151 ( 36 unt; 73 typ; 1 def)
% Number of atoms : 218 ( 21 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 216 ( 76 ~; 68 |; 39 &)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 129 ( 61 >; 68 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 12 con; 0-4 aty)
% Number of variables : 58 (; 58 !; 0 ?; 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 > xc > xT > xS > xN > xK > szNzAzT0 > sz00 > slcrc0 > #skF_41 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #skF_40 > #skF_38 > #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_41',type,
'#skF_41': $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('#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_37',type,
'#skF_37': $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_40',type,
'#skF_40': $i ).
tff('#skF_38',type,
'#skF_38': ( $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_988,negated_conjecture,
~ ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& ( W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ( sbrdtbr0(W1) = xk )
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ) )
=> ( ( aSet0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& ( aElementOf0(W2,W1)
| ( W2 = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ) )
=> ( ( ( ! [W2] :
( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
=> aElementOf0(W2,xS) )
| aSubsetOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),xS) )
& ( sbrdtbr0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) = xK ) )
| aElementOf0(sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_252,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
tff(f_824,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
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_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_342,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ( ~ aElementOf0(W1,W0)
=> ( sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
tff(f_674,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
tff(f_212,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
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_899,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( ! [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(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(c_8442,plain,
aElementOf0('#skF_39',szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_126,plain,
! [W0_80] :
( sdtlseqdt0(sz00,W0_80)
| ~ aElementOf0(W0_80,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_8430,plain,
! [W2_614] :
( aElementOf0(W2_614,sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39'))))
| ~ aElementOf0(W2_614,'#skF_40') ),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8458,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')),sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_9206,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')),'#skF_40'),
inference(resolution,[status(thm)],[c_8430,c_8458]) ).
tff(c_8440,plain,
aSet0('#skF_40'),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8320,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_8426,plain,
sbrdtbr0('#skF_40') = xk,
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8919,plain,
! [W0_657] :
( isFinite0(W0_657)
| ~ aElementOf0(sbrdtbr0(W0_657),szNzAzT0)
| ~ aSet0(W0_657) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_8928,plain,
( isFinite0('#skF_40')
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0('#skF_40') ),
inference(superposition,[status(thm),theory(equality)],[c_8426,c_8919]) ).
tff(c_8934,plain,
isFinite0('#skF_40'),
inference(demodulation,[status(thm),theory(equality)],[c_8440,c_8320,c_8928]) ).
tff(c_8400,plain,
! [W0_581] :
( aSet0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_8438,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')),sdtlpdtrp0(xN,'#skF_39')),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8591,plain,
! [W1_631,W0_632] :
( aElement0(W1_631)
| ~ aElementOf0(W1_631,W0_632)
| ~ aSet0(W0_632) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_8607,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))
| ~ aSet0(sdtlpdtrp0(xN,'#skF_39')) ),
inference(resolution,[status(thm)],[c_8438,c_8591]) ).
tff(c_18361,plain,
~ aSet0(sdtlpdtrp0(xN,'#skF_39')),
inference(splitLeft,[status(thm)],[c_8607]) ).
tff(c_18364,plain,
~ aElementOf0('#skF_39',szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_18361]) ).
tff(c_18368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_18364]) ).
tff(c_18369,plain,
aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39'))),
inference(splitRight,[status(thm)],[c_8607]) ).
tff(c_8318,plain,
szszuzczcdt0(xk) = xK,
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_33832,plain,
! [W0_1535,W1_1536] :
( ( szszuzczcdt0(sbrdtbr0(W0_1535)) = sbrdtbr0(sdtpldt0(W0_1535,W1_1536)) )
| aElementOf0(W1_1536,W0_1535)
| ~ aElement0(W1_1536)
| ~ isFinite0(W0_1535)
| ~ aSet0(W0_1535) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_8446,plain,
( ~ aElementOf0('#skF_41',xS)
| ( sbrdtbr0(sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) != xK ) ),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8888,plain,
sbrdtbr0(sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) != xK,
inference(splitLeft,[status(thm)],[c_8446]) ).
tff(c_33950,plain,
( ( szszuzczcdt0(sbrdtbr0('#skF_40')) != xK )
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')),'#skF_40')
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))
| ~ isFinite0('#skF_40')
| ~ aSet0('#skF_40') ),
inference(superposition,[status(thm),theory(equality)],[c_33832,c_8888]) ).
tff(c_34022,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,'#skF_39')),'#skF_40'),
inference(demodulation,[status(thm),theory(equality)],[c_8440,c_8934,c_18369,c_8318,c_8426,c_33950]) ).
tff(c_34024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9206,c_34022]) ).
tff(c_34025,plain,
~ aElementOf0('#skF_41',xS),
inference(splitRight,[status(thm)],[c_8446]) ).
tff(c_344,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_110,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_8322,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_66440,plain,
! [W0_2575,W1_2576] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2575),sdtlpdtrp0(xN,W1_2576))
| ~ sdtlseqdt0(W1_2576,W0_2575)
| ~ aElementOf0(W1_2576,szNzAzT0)
| ~ aElementOf0(W0_2575,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_66463,plain,
! [W0_2575] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2575),xS)
| ~ sdtlseqdt0(sz00,W0_2575)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_2575,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_66440]) ).
tff(c_67125,plain,
! [W0_2593] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2593),xS)
| ~ sdtlseqdt0(sz00,W0_2593)
| ~ aElementOf0(W0_2593,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_66463]) ).
tff(c_54398,plain,
! [W0_2236,W1_2237] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2236),sdtlpdtrp0(xN,W1_2237))
| ~ sdtlseqdt0(W1_2237,W0_2236)
| ~ aElementOf0(W1_2237,szNzAzT0)
| ~ aElementOf0(W0_2236,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_54425,plain,
! [W0_2236] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2236),xS)
| ~ sdtlseqdt0(sz00,W0_2236)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_2236,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_54398]) ).
tff(c_57024,plain,
! [W0_2284] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_2284),xS)
| ~ sdtlseqdt0(sz00,W0_2284)
| ~ aElementOf0(W0_2284,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_54425]) ).
tff(c_8434,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_8428,plain,
aSubsetOf0('#skF_40',sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_34026,plain,
sbrdtbr0(sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) = xK,
inference(splitRight,[status(thm)],[c_8446]) ).
tff(c_8448,plain,
( aElementOf0('#skF_41',sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39'))))
| ( sbrdtbr0(sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) != xK ) ),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_42720,plain,
aElementOf0('#skF_41',sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))),
inference(demodulation,[status(thm),theory(equality)],[c_34026,c_8448]) ).
tff(c_8450,plain,
! [W2_616] :
( ( szmzizndt0(sdtlpdtrp0(xN,'#skF_39')) = W2_616 )
| aElementOf0(W2_616,'#skF_40')
| ~ aElementOf0(W2_616,sdtpldt0('#skF_40',szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) ),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_42730,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,'#skF_39')) = '#skF_41' )
| aElementOf0('#skF_41','#skF_40') ),
inference(resolution,[status(thm)],[c_42720,c_8450]) ).
tff(c_42736,plain,
aElementOf0('#skF_41','#skF_40'),
inference(splitLeft,[status(thm)],[c_42730]) ).
tff(c_43033,plain,
! [W2_1906,W0_1907,W1_1908] :
( aElementOf0(W2_1906,W0_1907)
| ~ aElementOf0(W2_1906,W1_1908)
| ~ aSubsetOf0(W1_1908,W0_1907)
| ~ aSet0(W0_1907) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_43197,plain,
! [W0_1913] :
( aElementOf0('#skF_41',W0_1913)
| ~ aSubsetOf0('#skF_40',W0_1913)
| ~ aSet0(W0_1913) ),
inference(resolution,[status(thm)],[c_42736,c_43033]) ).
tff(c_43207,plain,
( aElementOf0('#skF_41',sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39'))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) ),
inference(resolution,[status(thm)],[c_8428,c_43197]) ).
tff(c_43220,plain,
aElementOf0('#skF_41',sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))),
inference(demodulation,[status(thm),theory(equality)],[c_8434,c_43207]) ).
tff(c_8460,plain,
! [W2_613] :
( aElementOf0(W2_613,sdtlpdtrp0(xN,'#skF_39'))
| ~ aElementOf0(W2_613,sdtmndt0(sdtlpdtrp0(xN,'#skF_39'),szmzizndt0(sdtlpdtrp0(xN,'#skF_39')))) ),
inference(cnfTransformation,[status(thm)],[f_988]) ).
tff(c_47960,plain,
aElementOf0('#skF_41',sdtlpdtrp0(xN,'#skF_39')),
inference(resolution,[status(thm)],[c_43220,c_8460]) ).
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_47979,plain,
! [W0_14] :
( aElementOf0('#skF_41',W0_14)
| ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_39'),W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_47960,c_24]) ).
tff(c_57040,plain,
( aElementOf0('#skF_41',xS)
| ~ aSet0(xS)
| ~ sdtlseqdt0(sz00,'#skF_39')
| ~ aElementOf0('#skF_39',szNzAzT0) ),
inference(resolution,[status(thm)],[c_57024,c_47979]) ).
tff(c_57070,plain,
( aElementOf0('#skF_41',xS)
| ~ sdtlseqdt0(sz00,'#skF_39') ),
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_344,c_57040]) ).
tff(c_57071,plain,
~ sdtlseqdt0(sz00,'#skF_39'),
inference(negUnitSimplification,[status(thm)],[c_34025,c_57070]) ).
tff(c_57087,plain,
~ aElementOf0('#skF_39',szNzAzT0),
inference(resolution,[status(thm)],[c_126,c_57071]) ).
tff(c_57091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_57087]) ).
tff(c_57092,plain,
szmzizndt0(sdtlpdtrp0(xN,'#skF_39')) = '#skF_41',
inference(splitRight,[status(thm)],[c_42730]) ).
tff(c_57129,plain,
aElementOf0('#skF_41',sdtlpdtrp0(xN,'#skF_39')),
inference(demodulation,[status(thm),theory(equality)],[c_57092,c_8438]) ).
tff(c_58041,plain,
! [W2_2343,W0_2344,W1_2345] :
( aElementOf0(W2_2343,W0_2344)
| ~ aElementOf0(W2_2343,W1_2345)
| ~ aSubsetOf0(W1_2345,W0_2344)
| ~ aSet0(W0_2344) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_58099,plain,
! [W0_2344] :
( aElementOf0('#skF_41',W0_2344)
| ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_39'),W0_2344)
| ~ aSet0(W0_2344) ),
inference(resolution,[status(thm)],[c_57129,c_58041]) ).
tff(c_67139,plain,
( aElementOf0('#skF_41',xS)
| ~ aSet0(xS)
| ~ sdtlseqdt0(sz00,'#skF_39')
| ~ aElementOf0('#skF_39',szNzAzT0) ),
inference(resolution,[status(thm)],[c_67125,c_58099]) ).
tff(c_67167,plain,
( aElementOf0('#skF_41',xS)
| ~ sdtlseqdt0(sz00,'#skF_39') ),
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_344,c_67139]) ).
tff(c_67168,plain,
~ sdtlseqdt0(sz00,'#skF_39'),
inference(negUnitSimplification,[status(thm)],[c_34025,c_67167]) ).
tff(c_67333,plain,
~ aElementOf0('#skF_39',szNzAzT0),
inference(resolution,[status(thm)],[c_126,c_67168]) ).
tff(c_67337,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_67333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM579+3 : 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 15:13:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 91.41/69.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.41/69.67
% 91.41/69.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 91.41/69.70
% 91.41/69.70 Inference rules
% 91.41/69.70 ----------------------
% 91.41/69.70 #Ref : 16
% 91.41/69.70 #Sup : 10811
% 91.41/69.70 #Fact : 0
% 91.41/69.70 #Define : 0
% 91.41/69.70 #Split : 582
% 91.41/69.70 #Chain : 0
% 91.41/69.70 #Close : 0
% 91.41/69.70
% 91.41/69.70 Ordering : KBO
% 91.41/69.70
% 91.41/69.70 Simplification rules
% 91.41/69.70 ----------------------
% 91.41/69.70 #Subsume : 3081
% 91.41/69.70 #Demod : 9680
% 91.41/69.70 #Tautology : 2319
% 91.41/69.70 #SimpNegUnit : 774
% 91.41/69.70 #BackRed : 359
% 91.41/69.70
% 91.41/69.70 #Partial instantiations: 0
% 91.41/69.70 #Strategies tried : 1
% 91.41/69.70
% 91.41/69.70 Timing (in seconds)
% 91.41/69.70 ----------------------
% 91.41/69.70 Preprocessing : 2.11
% 91.41/69.70 Parsing : 0.47
% 91.41/69.71 CNF conversion : 0.17
% 91.41/69.71 Main loop : 66.50
% 91.41/69.71 Inferencing : 2.55
% 91.41/69.71 Reduction : 47.42
% 91.41/69.71 Demodulation : 40.51
% 91.41/69.71 BG Simplification : 0.72
% 91.41/69.71 Subsumption : 12.79
% 91.41/69.71 Abstraction : 0.55
% 91.41/69.71 MUC search : 0.00
% 91.41/69.71 Cooper : 0.00
% 91.41/69.71 Total : 68.67
% 91.41/69.71 Index Insertion : 0.00
% 91.41/69.71 Index Deletion : 0.00
% 91.41/69.71 Index Matching : 0.00
% 91.41/69.71 BG Taut test : 0.00
%------------------------------------------------------------------------------