TSTP Solution File: NUM619+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM619+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/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 : 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 10:52:21 EDT 2023
% Result : Theorem 147.96s 121.66s
% Output : CNFRefutation 147.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 112
% Syntax : Number of formulae : 163 ( 28 unt; 98 typ; 0 def)
% Number of atoms : 165 ( 26 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 159 ( 59 ~; 52 |; 32 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 154 ( 76 >; 78 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 89 ( 89 usr; 22 con; 0-4 aty)
% Number of variables : 42 (; 40 !; 2 ?; 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_53 > #skF_47 > #skF_7 > #skF_11 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_55 > #skF_37 > #skF_56 > #skF_54 > #skF_38 > #skF_4 > #skF_29 > #skF_52 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_49 > #skF_19 > #skF_10 > #skF_42 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_50 > #skF_25 > #skF_3 > #skF_2 > #skF_48 > #skF_40 > #skF_27 > #skF_36 > #skF_43 > #skF_46 > #skF_21 > #skF_45 > #skF_9 > #skF_22 > #skF_16 > #skF_51 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff(xk,type,
xk: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $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('#skF_44',type,
'#skF_44': ( $i * $i * $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(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('#skF_55',type,
'#skF_55': $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff('#skF_56',type,
'#skF_56': $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff('#skF_54',type,
'#skF_54': $i ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $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(xe,type,
xe: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': $i > $i ).
tff(xP,type,
xP: $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(xx,type,
xx: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $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_49',type,
'#skF_49': ( $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_42',type,
'#skF_42': ( $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_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(xO,type,
xO: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $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('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_46',type,
'#skF_46': $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_45',type,
'#skF_45': $i > $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('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_1421,hypothesis,
( aElementOf0(xp,xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& ( xp = szmzizndt0(xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
tff(f_1476,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ( xx != szmzizndt0(xQ) )
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
tff(f_1482,hypothesis,
( aElementOf0(xx,szNzAzT0)
& ? [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xe,W0) = xx ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
tff(f_1298,hypothesis,
( aFunction0(xd)
& ( szDzozmdt0(xd) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& ( sbrdtbr0(W1) = xk ) )
| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> ( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
tff(f_1344,hypothesis,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) )
& ! [W0] :
( aElementOf0(W0,xO)
<=> ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xe,W1) = W0 ) ) )
& ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
tff(f_1467,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& ( sdtlpdtrp0(xe,xn) = xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
tff(f_1276,hypothesis,
( aFunction0(xe)
& ( szDzozmdt0(xe) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
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/sandbox2/benchmark/theBenchmark.p',m__3754) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
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_1491,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_1440,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
tff(f_1398,hypothesis,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
tff(c_9818,plain,
szmzizndt0(xQ) = xp,
inference(cnfTransformation,[status(thm)],[f_1421]) ).
tff(c_9870,plain,
szmzizndt0(xQ) != xx,
inference(cnfTransformation,[status(thm)],[f_1476]) ).
tff(c_9891,plain,
xx != xp,
inference(demodulation,[status(thm),theory(equality)],[c_9818,c_9870]) ).
tff(c_9872,plain,
aElementOf0(xx,xQ),
inference(cnfTransformation,[status(thm)],[f_1476]) ).
tff(c_9880,plain,
aElementOf0(xx,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1482]) ).
tff(c_9878,plain,
aElementOf0('#skF_56',sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnfTransformation,[status(thm)],[f_1482]) ).
tff(c_9712,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnfTransformation,[status(thm)],[f_1298]) ).
tff(c_9762,plain,
! [W0_799] :
( aElementOf0(W0_799,szDzozmdt0(xd))
| ~ aElementOf0(W0_799,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnfTransformation,[status(thm)],[f_1344]) ).
tff(c_11865,plain,
! [W0_922] :
( aElementOf0(W0_922,szNzAzT0)
| ~ aElementOf0(W0_922,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(demodulation,[status(thm),theory(equality)],[c_9712,c_9762]) ).
tff(c_11885,plain,
aElementOf0('#skF_56',szNzAzT0),
inference(resolution,[status(thm)],[c_9878,c_11865]) ).
tff(c_9858,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1467]) ).
tff(c_9856,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(cnfTransformation,[status(thm)],[f_1467]) ).
tff(c_117763,plain,
! [W0_2884] :
( aElementOf0(sdtlpdtrp0(xe,W0_2884),sdtlpdtrp0(xN,W0_2884))
| ~ aElementOf0(W0_2884,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_117787,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9856,c_117763]) ).
tff(c_117804,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_117787]) ).
tff(c_130108,plain,
! [W2_3199,W1_3200,W0_3201] :
( aElementOf0(W2_3199,sdtlpdtrp0(xN,W1_3200))
| ~ aElementOf0(W2_3199,sdtlpdtrp0(xN,W0_3201))
| ~ sdtlseqdt0(W1_3200,W0_3201)
| ~ aElementOf0(W1_3200,szNzAzT0)
| ~ aElementOf0(W0_3201,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_130144,plain,
! [W1_3200] :
( aElementOf0(xp,sdtlpdtrp0(xN,W1_3200))
| ~ sdtlseqdt0(W1_3200,xn)
| ~ aElementOf0(W1_3200,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_117804,c_130108]) ).
tff(c_193993,plain,
! [W1_4025] :
( aElementOf0(xp,sdtlpdtrp0(xN,W1_4025))
| ~ sdtlseqdt0(W1_4025,xn)
| ~ aElementOf0(W1_4025,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_130144]) ).
tff(c_9876,plain,
sdtlpdtrp0(xe,'#skF_56') = xx,
inference(cnfTransformation,[status(thm)],[f_1482]) ).
tff(c_120902,plain,
! [W0_3011,W1_3012] :
( sdtlseqdt0(sdtlpdtrp0(xe,W0_3011),W1_3012)
| ~ aElementOf0(W1_3012,sdtlpdtrp0(xN,W0_3011))
| ~ aElementOf0(W0_3011,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_120914,plain,
! [W1_3012] :
( sdtlseqdt0(xx,W1_3012)
| ~ aElementOf0(W1_3012,sdtlpdtrp0(xN,'#skF_56'))
| ~ aElementOf0('#skF_56',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9876,c_120902]) ).
tff(c_120927,plain,
! [W1_3012] :
( sdtlseqdt0(xx,W1_3012)
| ~ aElementOf0(W1_3012,sdtlpdtrp0(xN,'#skF_56')) ),
inference(demodulation,[status(thm),theory(equality)],[c_11885,c_120914]) ).
tff(c_194015,plain,
( sdtlseqdt0(xx,xp)
| ~ sdtlseqdt0('#skF_56',xn)
| ~ aElementOf0('#skF_56',szNzAzT0) ),
inference(resolution,[status(thm)],[c_193993,c_120927]) ).
tff(c_194057,plain,
( sdtlseqdt0(xx,xp)
| ~ sdtlseqdt0('#skF_56',xn) ),
inference(demodulation,[status(thm),theory(equality)],[c_11885,c_194015]) ).
tff(c_194075,plain,
~ sdtlseqdt0('#skF_56',xn),
inference(splitLeft,[status(thm)],[c_194057]) ).
tff(c_142,plain,
! [W1_92,W0_91] :
( sdtlseqdt0(szszuzczcdt0(W1_92),W0_91)
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_117781,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,'#skF_56'))
| ~ aElementOf0('#skF_56',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9876,c_117763]) ).
tff(c_117800,plain,
aElementOf0(xx,sdtlpdtrp0(xN,'#skF_56')),
inference(demodulation,[status(thm),theory(equality)],[c_11885,c_117781]) ).
tff(c_130146,plain,
! [W1_3200] :
( aElementOf0(xx,sdtlpdtrp0(xN,W1_3200))
| ~ sdtlseqdt0(W1_3200,'#skF_56')
| ~ aElementOf0(W1_3200,szNzAzT0)
| ~ aElementOf0('#skF_56',szNzAzT0) ),
inference(resolution,[status(thm)],[c_117800,c_130108]) ).
tff(c_196182,plain,
! [W1_4051] :
( aElementOf0(xx,sdtlpdtrp0(xN,W1_4051))
| ~ sdtlseqdt0(W1_4051,'#skF_56')
| ~ aElementOf0(W1_4051,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_11885,c_130146]) ).
tff(c_9888,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnfTransformation,[status(thm)],[f_1491]) ).
tff(c_196263,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),'#skF_56')
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_196182,c_9888]) ).
tff(c_196678,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_196263]) ).
tff(c_196681,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_196678]) ).
tff(c_196685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_196681]) ).
tff(c_196686,plain,
~ sdtlseqdt0(szszuzczcdt0(xn),'#skF_56'),
inference(splitRight,[status(thm)],[c_196263]) ).
tff(c_196690,plain,
( sdtlseqdt0('#skF_56',xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0('#skF_56',szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_196686]) ).
tff(c_196696,plain,
sdtlseqdt0('#skF_56',xn),
inference(demodulation,[status(thm),theory(equality)],[c_11885,c_9858,c_196690]) ).
tff(c_196698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194075,c_196696]) ).
tff(c_196699,plain,
sdtlseqdt0(xx,xp),
inference(splitRight,[status(thm)],[c_194057]) ).
tff(c_9838,plain,
aElementOf0(xp,xQ),
inference(cnfTransformation,[status(thm)],[f_1440]) ).
tff(c_10054,plain,
! [W0_824] :
( aElementOf0(W0_824,szNzAzT0)
| ~ aElementOf0(W0_824,xQ) ),
inference(cnfTransformation,[status(thm)],[f_1398]) ).
tff(c_10064,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[status(thm)],[c_9838,c_10054]) ).
tff(c_9820,plain,
! [W0_810] :
( sdtlseqdt0(xp,W0_810)
| ~ aElementOf0(W0_810,xQ) ),
inference(cnfTransformation,[status(thm)],[f_1421]) ).
tff(c_121960,plain,
! [W1_3044,W0_3045] :
( ( W1_3044 = W0_3045 )
| ~ sdtlseqdt0(W1_3044,W0_3045)
| ~ sdtlseqdt0(W0_3045,W1_3044)
| ~ aElementOf0(W1_3044,szNzAzT0)
| ~ aElementOf0(W0_3045,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_122006,plain,
! [W0_810] :
( ( xp = W0_810 )
| ~ sdtlseqdt0(W0_810,xp)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(W0_810,szNzAzT0)
| ~ aElementOf0(W0_810,xQ) ),
inference(resolution,[status(thm)],[c_9820,c_121960]) ).
tff(c_122073,plain,
! [W0_810] :
( ( xp = W0_810 )
| ~ sdtlseqdt0(W0_810,xp)
| ~ aElementOf0(W0_810,szNzAzT0)
| ~ aElementOf0(W0_810,xQ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10064,c_122006]) ).
tff(c_196703,plain,
( ( xx = xp )
| ~ aElementOf0(xx,szNzAzT0)
| ~ aElementOf0(xx,xQ) ),
inference(resolution,[status(thm)],[c_196699,c_122073]) ).
tff(c_196710,plain,
xx = xp,
inference(demodulation,[status(thm),theory(equality)],[c_9872,c_9880,c_196703]) ).
tff(c_196712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9891,c_196710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM619+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/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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:38:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 147.96/121.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 147.96/121.67
% 147.96/121.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 147.96/121.70
% 147.96/121.70 Inference rules
% 147.96/121.70 ----------------------
% 147.96/121.70 #Ref : 9
% 147.96/121.70 #Sup : 35686
% 147.96/121.70 #Fact : 4
% 147.96/121.70 #Define : 0
% 147.96/121.70 #Split : 607
% 147.96/121.70 #Chain : 0
% 147.96/121.70 #Close : 0
% 147.96/121.70
% 147.96/121.70 Ordering : KBO
% 147.96/121.70
% 147.96/121.70 Simplification rules
% 147.96/121.70 ----------------------
% 147.96/121.70 #Subsume : 7137
% 147.96/121.70 #Demod : 28940
% 147.96/121.70 #Tautology : 4840
% 147.96/121.70 #SimpNegUnit : 1445
% 147.96/121.70 #BackRed : 510
% 147.96/121.70
% 147.96/121.70 #Partial instantiations: 0
% 147.96/121.70 #Strategies tried : 1
% 147.96/121.70
% 147.96/121.70 Timing (in seconds)
% 147.96/121.70 ----------------------
% 147.96/121.71 Preprocessing : 2.28
% 147.96/121.71 Parsing : 0.57
% 147.96/121.71 CNF conversion : 0.17
% 147.96/121.71 Main loop : 118.36
% 147.96/121.71 Inferencing : 8.08
% 147.96/121.71 Reduction : 77.61
% 147.96/121.71 Demodulation : 65.39
% 147.96/121.71 BG Simplification : 1.04
% 147.96/121.71 Subsumption : 24.75
% 147.96/121.71 Abstraction : 1.05
% 147.96/121.71 MUC search : 0.00
% 147.96/121.71 Cooper : 0.00
% 147.96/121.71 Total : 120.70
% 147.96/121.71 Index Insertion : 0.00
% 147.96/121.71 Index Deletion : 0.00
% 147.96/121.71 Index Matching : 0.00
% 147.96/121.71 BG Taut test : 0.00
%------------------------------------------------------------------------------