TSTP Solution File: NUM622+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM622+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 : 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 10:52:22 EDT 2023
% Result : Theorem 179.36s 157.16s
% Output : CNFRefutation 179.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 95
% Syntax : Number of formulae : 188 ( 46 unt; 73 typ; 5 def)
% Number of atoms : 258 ( 39 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 251 ( 108 ~; 96 |; 20 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 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 : 75 (; 74 !; 1 ?; 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_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_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_892,hypothesis,
( aElementOf0(xm,szNzAzT0)
& ( xx = sdtlpdtrp0(xe,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
tff(f_896,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).
tff(f_898,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_893,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
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_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_829,hypothesis,
( aFunction0(xe)
& ( szDzozmdt0(xe) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
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_435,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( W1 = slbdtrb0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
tff(f_471,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sbrdtbr0(slbdtrb0(W0)) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
tff(f_318,axiom,
! [W0] :
( aSet0(W0)
=> aElement0(sbrdtbr0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_474,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_884]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_488,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_892]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_1503,plain,
! [W0_494] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_494),szNzAzT0)
| ~ aElementOf0(W0_494,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_1506,plain,
! [W0_494] :
( aSet0(sdtlpdtrp0(xN,W0_494))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_494,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1503,c_26]) ).
tff(c_1512,plain,
! [W0_494] :
( aSet0(sdtlpdtrp0(xN,W0_494))
| ~ aElementOf0(W0_494,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_1506]) ).
tff(c_494,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnfTransformation,[status(thm)],[f_896]) ).
tff(c_844,plain,
( aSet0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_494,c_26]) ).
tff(c_1786,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_844]) ).
tff(c_1789,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_1512,c_1786]) ).
tff(c_1793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_1789]) ).
tff(c_1794,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_844]) ).
tff(c_496,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnfTransformation,[status(thm)],[f_898]) ).
tff(c_1795,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_844]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_490,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
inference(cnfTransformation,[status(thm)],[f_893]) ).
tff(c_1881,plain,
! [W0_519] :
( aElementOf0(szmzizndt0(W0_519),W0_519)
| ( slcrc0 = W0_519 )
| ~ aSubsetOf0(W0_519,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_1903,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_1881]) ).
tff(c_234569,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1903]) ).
tff(c_234591,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_234569]) ).
tff(c_234598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_234591]) ).
tff(c_234600,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitRight,[status(thm)],[c_1903]) ).
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_234627,plain,
! [W0_30] :
( aSubsetOf0(W0_30,szNzAzT0)
| ~ aSubsetOf0(W0_30,sdtlpdtrp0(xN,xm))
| ~ aSet0(szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_30) ),
inference(resolution,[status(thm)],[c_234600,c_38]) ).
tff(c_235809,plain,
! [W0_2906] :
( aSubsetOf0(W0_2906,szNzAzT0)
| ~ aSubsetOf0(W0_2906,sdtlpdtrp0(xN,xm))
| ~ aSet0(W0_2906) ),
inference(demodulation,[status(thm),theory(equality)],[c_1795,c_108,c_234627]) ).
tff(c_235846,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_494,c_235809]) ).
tff(c_235878,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_1794,c_235846]) ).
tff(c_472,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(cnfTransformation,[status(thm)],[f_884]) ).
tff(c_2115,plain,
! [W0_536] :
( ( szmzizndt0(sdtlpdtrp0(xN,W0_536)) = sdtlpdtrp0(xe,W0_536) )
| ~ aElementOf0(W0_536,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_829]) ).
tff(c_170,plain,
! [W0_111] :
( aElementOf0(szmzizndt0(W0_111),W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_405174,plain,
! [W0_4073] :
( aElementOf0(sdtlpdtrp0(xe,W0_4073),sdtlpdtrp0(xN,W0_4073))
| ( sdtlpdtrp0(xN,W0_4073) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,W0_4073),szNzAzT0)
| ~ aElementOf0(W0_4073,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_2115,c_170]) ).
tff(c_405222,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ( sdtlpdtrp0(xN,xn) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_472,c_405174]) ).
tff(c_405251,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ( sdtlpdtrp0(xN,xn) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_474,c_235878,c_405222]) ).
tff(c_405409,plain,
sdtlpdtrp0(xN,xn) = slcrc0,
inference(splitLeft,[status(thm)],[c_405251]) ).
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_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_504,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_10,plain,
! [W0_7] :
( ( slcrc0 = W0_7 )
| aElementOf0('#skF_1'(W0_7),W0_7)
| ~ aSet0(W0_7) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_188,plain,
! [W0_133] :
( aSet0(slbdtrb0(W0_133))
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_855,plain,
! [W0_444] :
( ( sbrdtbr0(slbdtrb0(W0_444)) = W0_444 )
| ~ aElementOf0(W0_444,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_471]) ).
tff(c_148,plain,
! [W0_96] :
( aElement0(sbrdtbr0(W0_96))
| ~ aSet0(W0_96) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_1622,plain,
! [W0_506] :
( aElement0(W0_506)
| ~ aSet0(slbdtrb0(W0_506))
| ~ aElementOf0(W0_506,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_855,c_148]) ).
tff(c_1632,plain,
! [W0_507] :
( aElement0(W0_507)
| ~ aElementOf0(W0_507,szNzAzT0) ),
inference(resolution,[status(thm)],[c_188,c_1622]) ).
tff(c_1639,plain,
( aElement0('#skF_1'(szNzAzT0))
| ( szNzAzT0 = slcrc0 )
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_10,c_1632]) ).
tff(c_1667,plain,
( aElement0('#skF_1'(szNzAzT0))
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_1639]) ).
tff(c_1682,plain,
szNzAzT0 = slcrc0,
inference(splitLeft,[status(thm)],[c_1667]) ).
tff(c_1373,plain,
! [W0_483] :
( ( slcrc0 = W0_483 )
| ( sbrdtbr0(W0_483) != sz00 )
| ~ aSet0(W0_483) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_1423,plain,
( ( szNzAzT0 = slcrc0 )
| ( sbrdtbr0(szNzAzT0) != sz00 ) ),
inference(resolution,[status(thm)],[c_108,c_1373]) ).
tff(c_1440,plain,
sbrdtbr0(szNzAzT0) != sz00,
inference(splitLeft,[status(thm)],[c_1423]) ).
tff(c_1697,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1682,c_1440]) ).
tff(c_1732,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_504,c_1697]) ).
tff(c_1734,plain,
szNzAzT0 != slcrc0,
inference(splitRight,[status(thm)],[c_1667]) ).
tff(c_1629,plain,
! [W0_133] :
( aElement0(W0_133)
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(resolution,[status(thm)],[c_188,c_1622]) ).
tff(c_1885,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1881,c_1629]) ).
tff(c_1909,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_1734,c_1885]) ).
tff(c_1964,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_1909]) ).
tff(c_1967,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_1964]) ).
tff(c_1971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_1967]) ).
tff(c_1973,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_1909]) ).
tff(c_150,plain,
! [W0_97] :
( aElementOf0(sbrdtbr0(W0_97),szNzAzT0)
| ~ isFinite0(W0_97)
| ~ aSet0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_9647,plain,
! [W2_856,W0_857,W1_858] :
( aElementOf0(W2_856,W0_857)
| ~ aElementOf0(W2_856,W1_858)
| ~ aSubsetOf0(W1_858,W0_857)
| ~ aSet0(W0_857) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_9709,plain,
! [W0_97,W0_857] :
( aElementOf0(sbrdtbr0(W0_97),W0_857)
| ~ aSubsetOf0(szNzAzT0,W0_857)
| ~ aSet0(W0_857)
| ~ isFinite0(W0_97)
| ~ aSet0(W0_97) ),
inference(resolution,[status(thm)],[c_150,c_9647]) ).
tff(c_228,plain,
! [W0_151,W1_152] :
( aSet0(slbdtsldtrb0(W0_151,W1_152))
| ~ aElementOf0(W1_152,szNzAzT0)
| ~ aSet0(W0_151) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_15171,plain,
! [W3_1073,W0_1074] :
( aElementOf0(W3_1073,slbdtsldtrb0(W0_1074,sbrdtbr0(W3_1073)))
| ~ aSubsetOf0(W3_1073,W0_1074)
| ~ aElementOf0(sbrdtbr0(W3_1073),szNzAzT0)
| ~ aSet0(W0_1074) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
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_376013,plain,
! [W3_3863,W0_3864] :
( aElement0(W3_3863)
| ~ aSet0(slbdtsldtrb0(W0_3864,sbrdtbr0(W3_3863)))
| ~ aSubsetOf0(W3_3863,W0_3864)
| ~ aElementOf0(sbrdtbr0(W3_3863),szNzAzT0)
| ~ aSet0(W0_3864) ),
inference(resolution,[status(thm)],[c_15171,c_6]) ).
tff(c_376205,plain,
! [W3_3867,W0_3868] :
( aElement0(W3_3867)
| ~ aSubsetOf0(W3_3867,W0_3868)
| ~ aElementOf0(sbrdtbr0(W3_3867),szNzAzT0)
| ~ aSet0(W0_3868) ),
inference(resolution,[status(thm)],[c_228,c_376013]) ).
tff(c_376359,plain,
( aElement0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(sbrdtbr0(sdtlpdtrp0(xN,xn)),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_494,c_376205]) ).
tff(c_376583,plain,
( aElement0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(sbrdtbr0(sdtlpdtrp0(xN,xn)),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1795,c_376359]) ).
tff(c_382572,plain,
~ aElementOf0(sbrdtbr0(sdtlpdtrp0(xN,xn)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_376583]) ).
tff(c_382575,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_9709,c_382572]) ).
tff(c_382581,plain,
~ isFinite0(sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_1794,c_108,c_1973,c_382575]) ).
tff(c_405410,plain,
~ isFinite0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_405409,c_382581]) ).
tff(c_405425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405410]) ).
tff(c_405426,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_405251]) ).
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_405880,plain,
! [W0_4079] :
( aElementOf0(xp,W0_4079)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_4079)
| ~ aSet0(W0_4079) ),
inference(resolution,[status(thm)],[c_405426,c_24]) ).
tff(c_405954,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_494,c_405880]) ).
tff(c_406015,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(demodulation,[status(thm),theory(equality)],[c_1795,c_405954]) ).
tff(c_406017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_496,c_406015]) ).
tff(c_406019,plain,
aElementOf0(sbrdtbr0(sdtlpdtrp0(xN,xn)),szNzAzT0),
inference(splitRight,[status(thm)],[c_376583]) ).
tff(c_152,plain,
! [W0_97] :
( isFinite0(W0_97)
| ~ aElementOf0(sbrdtbr0(W0_97),szNzAzT0)
| ~ aSet0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_406050,plain,
( isFinite0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_406019,c_152]) ).
tff(c_406075,plain,
isFinite0(sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_1794,c_406050]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_406086,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_406075,c_20]) ).
tff(c_406092,plain,
~ isCountable0(sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_1794,c_406086]) ).
tff(c_406095,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_374,c_406092]) ).
tff(c_406099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_406095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NUM622+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.14/0.35 % Computer : n009.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 14:48:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 179.36/157.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 179.36/157.17
% 179.36/157.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 179.45/157.22
% 179.45/157.22 Inference rules
% 179.45/157.22 ----------------------
% 179.45/157.22 #Ref : 17
% 179.45/157.22 #Sup : 75919
% 179.45/157.22 #Fact : 6
% 179.45/157.22 #Define : 0
% 179.45/157.22 #Split : 1450
% 179.45/157.22 #Chain : 0
% 179.45/157.22 #Close : 0
% 179.45/157.22
% 179.45/157.22 Ordering : KBO
% 179.45/157.22
% 179.45/157.22 Simplification rules
% 179.45/157.22 ----------------------
% 179.45/157.22 #Subsume : 21690
% 179.45/157.22 #Demod : 102441
% 179.45/157.22 #Tautology : 13648
% 179.45/157.22 #SimpNegUnit : 8265
% 179.45/157.22 #BackRed : 6314
% 179.45/157.22
% 179.45/157.22 #Partial instantiations: 0
% 179.45/157.22 #Strategies tried : 1
% 179.45/157.22
% 179.45/157.22 Timing (in seconds)
% 179.45/157.22 ----------------------
% 179.67/157.23 Preprocessing : 0.88
% 179.67/157.23 Parsing : 0.42
% 179.67/157.23 CNF conversion : 0.09
% 179.67/157.23 Main loop : 155.20
% 179.67/157.23 Inferencing : 22.64
% 179.67/157.23 Reduction : 85.30
% 179.67/157.23 Demodulation : 67.76
% 179.67/157.23 BG Simplification : 0.52
% 179.67/157.23 Subsumption : 36.08
% 179.67/157.23 Abstraction : 1.00
% 179.67/157.23 MUC search : 0.00
% 179.67/157.23 Cooper : 0.00
% 179.67/157.23 Total : 156.16
% 179.67/157.23 Index Insertion : 0.00
% 179.67/157.23 Index Deletion : 0.00
% 179.67/157.23 Index Matching : 0.00
% 179.67/157.23 BG Taut test : 0.00
%------------------------------------------------------------------------------