TSTP Solution File: NUM604+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM604+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/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 : n023.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 10:52:17 EDT 2023
% Result : Theorem 115.70s 94.23s
% Output : CNFRefutation 115.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 95
% Syntax : Number of formulae : 184 ( 39 unt; 69 typ; 5 def)
% Number of atoms : 297 ( 54 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 301 ( 119 ~; 112 |; 35 &)
% ( 8 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 106 ( 54 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 15 con; 0-4 aty)
% Number of variables : 90 (; 87 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xx > xk > xi > xe > xd > xc > xT > xS > 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(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(xe,type,
xe: $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('#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(szmzizndt0,type,
szmzizndt0: $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_30',type,
'#skF_30': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_868,negated_conjecture,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_667,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
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_866,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5045) ).
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_852,hypothesis,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
tff(f_862,hypothesis,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).
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_865,hypothesis,
( aElementOf0(xi,szNzAzT0)
& ( sdtlpdtrp0(xe,xi) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
tff(f_829,hypothesis,
( aFunction0(xe)
& ( szDzozmdt0(xe) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
tff(f_809,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ? [W1] :
( aElementOf0(W1,xT)
& ? [W2] :
( aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(W2)
& ! [W3] :
( ( aSet0(W3)
& aElementOf0(W3,slbdtsldtrb0(W2,xk)) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W3) = W1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4411) ).
tff(f_730,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
tff(f_190,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
tff(f_708,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
tff(f_471,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sbrdtbr0(slbdtrb0(W0)) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
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/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_774,hypothesis,
( aFunction0(xC)
& ( szDzozmdt0(xC) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& ( szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk) )
& ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
tff(f_519,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ! [W1] :
( ( aElementOf0(W1,szNzAzT0)
& ( W1 != sz00 ) )
=> isCountable0(slbdtsldtrb0(W0,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
tff(f_163,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> ( sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
tff(f_181,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtpldt0(W1,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
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/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
tff(f_388,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzizndt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
tff(c_450,plain,
~ aElementOf0(xx,xS),
inference(cnfTransformation,[status(thm)],[f_868]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_340,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_660,plain,
! [W1_441,W0_442] :
( aSet0(W1_441)
| ~ aSubsetOf0(W1_441,W0_442)
| ~ aSet0(W0_442) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_675,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_340,c_660]) ).
tff(c_686,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_675]) ).
tff(c_448,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnfTransformation,[status(thm)],[f_866]) ).
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_457,plain,
~ isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_434,plain,
aSet0(xO),
inference(cnfTransformation,[status(thm)],[f_852]) ).
tff(c_442,plain,
aElementOf0(xx,xO),
inference(cnfTransformation,[status(thm)],[f_862]) ).
tff(c_595,plain,
! [W1_438,W0_439] :
( aElement0(W1_438)
| ~ aElementOf0(W1_438,W0_439)
| ~ aSet0(W0_439) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_613,plain,
( aElement0(xx)
| ~ aSet0(xO) ),
inference(resolution,[status(thm)],[c_442,c_595]) ).
tff(c_631,plain,
aElement0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_613]) ).
tff(c_114368,plain,
! [W0_2127,W1_2128,W2_2129] :
( aElementOf0('#skF_5'(W0_2127,W1_2128,W2_2129),W0_2127)
| aElementOf0('#skF_6'(W0_2127,W1_2128,W2_2129),W2_2129)
| ( sdtmndt0(W0_2127,W1_2128) = W2_2129 )
| ~ aSet0(W2_2129)
| ~ aElement0(W1_2128)
| ~ aSet0(W0_2127) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_114572,plain,
! [W0_2127,W1_2128] :
( aElementOf0('#skF_5'(W0_2127,W1_2128,slcrc0),W0_2127)
| ( sdtmndt0(W0_2127,W1_2128) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(W1_2128)
| ~ aSet0(W0_2127) ),
inference(resolution,[status(thm)],[c_114368,c_12]) ).
tff(c_189711,plain,
! [W0_3124,W1_3125] :
( aElementOf0('#skF_5'(W0_3124,W1_3125,slcrc0),W0_3124)
| ( sdtmndt0(W0_3124,W1_3125) = slcrc0 )
| ~ aElement0(W1_3125)
| ~ aSet0(W0_3124) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_114572]) ).
tff(c_189849,plain,
! [W1_3125] :
( ( sdtmndt0(slcrc0,W1_3125) = slcrc0 )
| ~ aElement0(W1_3125)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_189711,c_12]) ).
tff(c_189919,plain,
! [W1_3126] :
( ( sdtmndt0(slcrc0,W1_3126) = slcrc0 )
| ~ aElement0(W1_3126) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_189849]) ).
tff(c_190084,plain,
sdtmndt0(slcrc0,xx) = slcrc0,
inference(resolution,[status(thm)],[c_631,c_189919]) ).
tff(c_680,plain,
( aSet0(sdtlpdtrp0(xN,xi))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_448,c_660]) ).
tff(c_726,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(demodulation,[status(thm),theory(equality)],[c_686,c_680]) ).
tff(c_70,plain,
! [W0_44,W1_45] :
( aSet0(sdtmndt0(W0_44,W1_45))
| ~ aElement0(W1_45)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_446,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_865]) ).
tff(c_444,plain,
sdtlpdtrp0(xe,xi) = xx,
inference(cnfTransformation,[status(thm)],[f_865]) ).
tff(c_410,plain,
! [W0_420] :
( ( szmzizndt0(sdtlpdtrp0(xN,W0_420)) = sdtlpdtrp0(xe,W0_420) )
| ~ aElementOf0(W0_420,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_829]) ).
tff(c_4009,plain,
! [W0_675] :
( aSubsetOf0('#skF_29'(W0_675),sdtmndt0(sdtlpdtrp0(xN,W0_675),szmzizndt0(sdtlpdtrp0(xN,W0_675))))
| ~ aElementOf0(W0_675,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_809]) ).
tff(c_239201,plain,
! [W0_3537] :
( aSubsetOf0('#skF_29'(W0_3537),sdtmndt0(sdtlpdtrp0(xN,W0_3537),sdtlpdtrp0(xe,W0_3537)))
| ~ aElementOf0(W0_3537,szNzAzT0)
| ~ aElementOf0(W0_3537,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_4009]) ).
tff(c_239243,plain,
( aSubsetOf0('#skF_29'(xi),sdtmndt0(sdtlpdtrp0(xN,xi),xx))
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_444,c_239201]) ).
tff(c_239261,plain,
aSubsetOf0('#skF_29'(xi),sdtmndt0(sdtlpdtrp0(xN,xi),xx)),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_446,c_239243]) ).
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_239340,plain,
( aSet0('#skF_29'(xi))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)) ),
inference(resolution,[status(thm)],[c_239261,c_26]) ).
tff(c_239897,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)),
inference(splitLeft,[status(thm)],[c_239340]) ).
tff(c_239900,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_239897]) ).
tff(c_239904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_726,c_631,c_239900]) ).
tff(c_239906,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)),
inference(splitRight,[status(thm)],[c_239340]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_100,plain,
! [W1_65,W0_63] :
( isCountable0(sdtmndt0(W1_65,W0_63))
| ~ isCountable0(W1_65)
| ~ aSet0(W1_65)
| ~ aElement0(W0_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_362,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_224,plain,
! [W0_150] :
( ( sbrdtbr0(slbdtrb0(W0_150)) = W0_150 )
| ~ aElementOf0(W0_150,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_471]) ).
tff(c_188,plain,
! [W0_133] :
( aSet0(slbdtrb0(W0_133))
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_632,plain,
! [W0_440] :
( ( slcrc0 = W0_440 )
| ( sbrdtbr0(W0_440) != sz00 )
| ~ aSet0(W0_440) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_2368,plain,
! [W0_589] :
( ( slbdtrb0(W0_589) = slcrc0 )
| ( sbrdtbr0(slbdtrb0(W0_589)) != sz00 )
| ~ aElementOf0(W0_589,szNzAzT0) ),
inference(resolution,[status(thm)],[c_188,c_632]) ).
tff(c_114651,plain,
! [W0_2130] :
( ( slbdtrb0(W0_2130) = slcrc0 )
| ( sz00 != W0_2130 )
| ~ aElementOf0(W0_2130,szNzAzT0)
| ~ aElementOf0(W0_2130,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_224,c_2368]) ).
tff(c_114708,plain,
( ( slbdtrb0(xk) = slcrc0 )
| ( xk != sz00 )
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[status(thm)],[c_362,c_114651]) ).
tff(c_114764,plain,
( ( slbdtrb0(xk) = slcrc0 )
| ( xk != sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_114708]) ).
tff(c_114771,plain,
xk != sz00,
inference(splitLeft,[status(thm)],[c_114764]) ).
tff(c_7091,plain,
! [W0_775] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_775),szmzizndt0(sdtlpdtrp0(xN,W0_775))),xk) = szDzozmdt0(sdtlpdtrp0(xC,W0_775)) )
| ~ aElementOf0(W0_775,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_310714,plain,
! [W0_4133] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_4133),sdtlpdtrp0(xe,W0_4133)),xk) = szDzozmdt0(sdtlpdtrp0(xC,W0_4133)) )
| ~ aElementOf0(W0_4133,szNzAzT0)
| ~ aElementOf0(W0_4133,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_7091]) ).
tff(c_310800,plain,
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),xx),xk) = szDzozmdt0(sdtlpdtrp0(xC,xi)) )
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_444,c_310714]) ).
tff(c_310849,plain,
slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),xx),xk) = szDzozmdt0(sdtlpdtrp0(xC,xi)),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_446,c_310800]) ).
tff(c_250,plain,
! [W0_168,W1_170] :
( isCountable0(slbdtsldtrb0(W0_168,W1_170))
| ( sz00 = W1_170 )
| ~ aElementOf0(W1_170,szNzAzT0)
| ~ isCountable0(W0_168)
| ~ aSet0(W0_168) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_310976,plain,
( isCountable0(szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ( xk = sz00 )
| ~ aElementOf0(xk,szNzAzT0)
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xi),xx))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)) ),
inference(superposition,[status(thm),theory(equality)],[c_310849,c_250]) ).
tff(c_311009,plain,
( isCountable0(szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ( xk = sz00 )
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_239906,c_362,c_310976]) ).
tff(c_311010,plain,
( isCountable0(szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)) ),
inference(negUnitSimplification,[status(thm)],[c_114771,c_311009]) ).
tff(c_313194,plain,
~ isCountable0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)),
inference(splitLeft,[status(thm)],[c_311010]) ).
tff(c_313491,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[c_100,c_313194]) ).
tff(c_313494,plain,
~ isCountable0(sdtlpdtrp0(xN,xi)),
inference(demodulation,[status(thm),theory(equality)],[c_631,c_726,c_313491]) ).
tff(c_313497,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_374,c_313494]) ).
tff(c_313501,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_446,c_313497]) ).
tff(c_313503,plain,
isCountable0(sdtmndt0(sdtlpdtrp0(xN,xi),xx)),
inference(splitRight,[status(thm)],[c_311010]) ).
tff(c_2037,plain,
! [W0_567,W1_568] :
( ( sdtpldt0(sdtmndt0(W0_567,W1_568),W1_568) = W0_567 )
| ~ aElementOf0(W1_568,W0_567)
| ~ aSet0(W0_567) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_98,plain,
! [W1_62,W0_60] :
( isCountable0(sdtpldt0(W1_62,W0_60))
| ~ isCountable0(W1_62)
| ~ aSet0(W1_62)
| ~ aElement0(W0_60) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_2046,plain,
! [W0_567,W1_568] :
( isCountable0(W0_567)
| ~ isCountable0(sdtmndt0(W0_567,W1_568))
| ~ aSet0(sdtmndt0(W0_567,W1_568))
| ~ aElement0(W1_568)
| ~ aElementOf0(W1_568,W0_567)
| ~ aSet0(W0_567) ),
inference(superposition,[status(thm),theory(equality)],[c_2037,c_98]) ).
tff(c_313513,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),xx))
| ~ aElement0(xx)
| ~ aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_313503,c_2046]) ).
tff(c_313519,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(xx,sdtlpdtrp0(xN,xi)) ),
inference(demodulation,[status(thm),theory(equality)],[c_726,c_631,c_239906,c_313513]) ).
tff(c_313523,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,xi)),
inference(splitLeft,[status(thm)],[c_313519]) ).
tff(c_5201,plain,
! [W0_695,W2_696,W1_697] :
( aSubsetOf0(W0_695,W2_696)
| ~ aSubsetOf0(W1_697,W2_696)
| ~ aSubsetOf0(W0_695,W1_697)
| ~ aSet0(W2_696)
| ~ aSet0(W1_697)
| ~ aSet0(W0_695) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_5241,plain,
! [W0_695] :
( aSubsetOf0(W0_695,szNzAzT0)
| ~ aSubsetOf0(W0_695,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(W0_695) ),
inference(resolution,[status(thm)],[c_340,c_5201]) ).
tff(c_5292,plain,
! [W0_698] :
( aSubsetOf0(W0_698,szNzAzT0)
| ~ aSubsetOf0(W0_698,xS)
| ~ aSet0(W0_698) ),
inference(demodulation,[status(thm),theory(equality)],[c_686,c_108,c_5241]) ).
tff(c_5306,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_448,c_5292]) ).
tff(c_5318,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_726,c_5306]) ).
tff(c_1381,plain,
! [W0_507] :
( ( szmzizndt0(sdtlpdtrp0(xN,W0_507)) = sdtlpdtrp0(xe,W0_507) )
| ~ aElementOf0(W0_507,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_316198,plain,
! [W0_4179] :
( aElementOf0(sdtlpdtrp0(xe,W0_4179),sdtlpdtrp0(xN,W0_4179))
| ( sdtlpdtrp0(xN,W0_4179) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,W0_4179),szNzAzT0)
| ~ aElementOf0(W0_4179,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_1381,c_170]) ).
tff(c_316245,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_444,c_316198]) ).
tff(c_316266,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_5318,c_316245]) ).
tff(c_316267,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(negUnitSimplification,[status(thm)],[c_313523,c_316266]) ).
tff(c_316269,plain,
isCountable0(sdtmndt0(slcrc0,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_316267,c_313503]) ).
tff(c_316288,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_190084,c_316269]) ).
tff(c_316290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_457,c_316288]) ).
tff(c_316292,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xi)),
inference(splitRight,[status(thm)],[c_313519]) ).
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_316305,plain,
! [W0_4180] :
( aElementOf0(xx,W0_4180)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),W0_4180)
| ~ aSet0(W0_4180) ),
inference(resolution,[status(thm)],[c_316292,c_24]) ).
tff(c_316367,plain,
( aElementOf0(xx,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_448,c_316305]) ).
tff(c_316415,plain,
aElementOf0(xx,xS),
inference(demodulation,[status(thm),theory(equality)],[c_686,c_316367]) ).
tff(c_316417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_316415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:28:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 115.70/94.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.70/94.24
% 115.70/94.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 115.70/94.28
% 115.70/94.28 Inference rules
% 115.70/94.28 ----------------------
% 115.70/94.29 #Ref : 11
% 115.70/94.29 #Sup : 62499
% 115.70/94.29 #Fact : 18
% 115.70/94.29 #Define : 0
% 115.70/94.29 #Split : 1110
% 115.70/94.29 #Chain : 0
% 115.70/94.29 #Close : 0
% 115.70/94.29
% 115.70/94.29 Ordering : KBO
% 115.70/94.29
% 115.70/94.29 Simplification rules
% 115.70/94.29 ----------------------
% 115.70/94.29 #Subsume : 14585
% 115.70/94.29 #Demod : 78894
% 115.70/94.29 #Tautology : 11918
% 115.70/94.29 #SimpNegUnit : 5576
% 115.70/94.29 #BackRed : 3972
% 115.70/94.29
% 115.70/94.29 #Partial instantiations: 0
% 115.70/94.29 #Strategies tried : 1
% 115.70/94.29
% 115.70/94.29 Timing (in seconds)
% 115.70/94.29 ----------------------
% 115.70/94.29 Preprocessing : 0.91
% 115.70/94.29 Parsing : 0.44
% 115.70/94.29 CNF conversion : 0.09
% 115.70/94.29 Main loop : 92.28
% 115.70/94.29 Inferencing : 15.72
% 115.70/94.29 Reduction : 47.33
% 115.70/94.29 Demodulation : 37.08
% 115.70/94.29 BG Simplification : 0.48
% 115.70/94.29 Subsumption : 21.53
% 115.70/94.29 Abstraction : 0.87
% 115.70/94.29 MUC search : 0.00
% 115.70/94.29 Cooper : 0.00
% 115.70/94.29 Total : 93.26
% 115.70/94.29 Index Insertion : 0.00
% 115.70/94.29 Index Deletion : 0.00
% 115.70/94.29 Index Matching : 0.00
% 115.70/94.29 BG Taut test : 0.00
%------------------------------------------------------------------------------