TSTP Solution File: NUM586+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM586+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 : 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 10:52:13 EDT 2023
% Result : Theorem 26.83s 12.75s
% Output : CNFRefutation 27.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 80
% Syntax : Number of formulae : 156 ( 38 unt; 62 typ; 6 def)
% Number of atoms : 222 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 231 ( 103 ~; 72 |; 26 &)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 50 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 12 con; 0-4 aty)
% Number of variables : 73 (; 70 !; 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 > xc > xT > xS > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_23 > #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_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('#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_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('#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(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('#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_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_775,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).
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/sandbox2/benchmark/theBenchmark.p',m__4151) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_72,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ( W0 != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
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_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_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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_708,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
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_781,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_650,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( ( aSubsetOf0(W1,szDzozmdt0(W0))
& isCountable0(W1) )
=> ( ! [W2,W3] :
( ( aElementOf0(W2,szDzozmdt0(W0))
& aElementOf0(W3,szDzozmdt0(W0))
& ( W2 != W3 ) )
=> ( sdtlpdtrp0(W0,W2) != sdtlpdtrp0(W0,W3) ) )
=> isCountable0(sdtlcdtrc0(W0,W1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgCount) ).
tff(f_606,definition,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aSubsetOf0(W1,szDzozmdt0(W0))
=> ! [W2] :
( ( W2 = sdtlcdtrc0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ? [W4] :
( aElementOf0(W4,W1)
& ( sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
tff(f_776,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).
tff(c_394,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_775]) ).
tff(c_390,plain,
! [W0_390] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_390),szmzizndt0(sdtlpdtrp0(xN,W0_390))),xk) = szDzozmdt0(sdtlpdtrp0(xC,W0_390)) )
| ~ aElementOf0(W0_390,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_7063,plain,
! [W0_773] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0_773),szmzizndt0(sdtlpdtrp0(xN,W0_773))),xk) = szDzozmdt0(sdtlpdtrp0(xC,W0_773)) )
| ~ aElementOf0(W0_773,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
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_403,plain,
~ isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_401,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_749,plain,
! [W0_426] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_426),szNzAzT0)
| ~ aElementOf0(W0_426,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_752,plain,
! [W0_426] :
( aSet0(sdtlpdtrp0(xN,W0_426))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_426,szNzAzT0) ),
inference(resolution,[status(thm)],[c_749,c_26]) ).
tff(c_758,plain,
! [W0_426] :
( aSet0(sdtlpdtrp0(xN,W0_426))
| ~ aElementOf0(W0_426,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_752]) ).
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_362,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_1036,plain,
! [W0_447,W1_448] :
( aSet0(slbdtsldtrb0(W0_447,W1_448))
| ~ aElementOf0(W1_448,szNzAzT0)
| ~ aSet0(W0_447) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_664,plain,
! [W0_419] :
( ( slcrc0 = W0_419 )
| aElementOf0('#skF_1'(W0_419),W0_419)
| ~ aSet0(W0_419) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_398,plain,
! [W0_393] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0_393) != xx )
| ~ aElementOf0(W0_393,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(cnfTransformation,[status(thm)],[f_781]) ).
tff(c_695,plain,
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_1'(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))) != xx )
| ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk) = slcrc0 )
| ~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(resolution,[status(thm)],[c_664,c_398]) ).
tff(c_720,plain,
~ aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(splitLeft,[status(thm)],[c_695]) ).
tff(c_1039,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_1036,c_720]) ).
tff(c_1048,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_1039]) ).
tff(c_1132,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_1048]) ).
tff(c_1147,plain,
~ aSet0(sdtlpdtrp0(xN,xi)),
inference(splitLeft,[status(thm)],[c_1132]) ).
tff(c_1159,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_758,c_1147]) ).
tff(c_1163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_1159]) ).
tff(c_1165,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(splitRight,[status(thm)],[c_1132]) ).
tff(c_951,plain,
! [W0_443] :
( aElementOf0(szmzizndt0(W0_443),W0_443)
| ( slcrc0 = W0_443 )
| ~ aSubsetOf0(W0_443,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_6,plain,
! [W1_5,W0_3] :
( aElement0(W1_5)
| ~ aElementOf0(W1_5,W0_3)
| ~ aSet0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1353,plain,
! [W0_489] :
( aElement0(szmzizndt0(W0_489))
| ~ aSet0(W0_489)
| ( slcrc0 = W0_489 )
| ~ aSubsetOf0(W0_489,szNzAzT0) ),
inference(resolution,[status(thm)],[c_951,c_6]) ).
tff(c_1164,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitRight,[status(thm)],[c_1132]) ).
tff(c_1356,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1353,c_1164]) ).
tff(c_1359,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1165,c_1356]) ).
tff(c_1360,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1359]) ).
tff(c_1383,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_1360]) ).
tff(c_1387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_1383]) ).
tff(c_1388,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_1359]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_1169,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00 ) ),
inference(resolution,[status(thm)],[c_1165,c_156]) ).
tff(c_1170,plain,
sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00,
inference(splitLeft,[status(thm)],[c_1169]) ).
tff(c_1390,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_1170]) ).
tff(c_1399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_401,c_1390]) ).
tff(c_1400,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_1169]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_1418,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_1400,c_374]) ).
tff(c_1426,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_1418]) ).
tff(c_1428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403,c_1426]) ).
tff(c_1430,plain,
aSet0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(splitRight,[status(thm)],[c_695]) ).
tff(c_7104,plain,
( aSet0(szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_7063,c_1430]) ).
tff(c_7144,plain,
aSet0(szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_7104]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_392,plain,
! [W0_390] :
( aFunction0(sdtlpdtrp0(xC,W0_390))
| ~ aElementOf0(W0_390,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_774]) ).
tff(c_8326,plain,
! [W0_802,W1_803] :
( aElementOf0('#skF_25'(W0_802,W1_803),szDzozmdt0(W0_802))
| isCountable0(sdtlcdtrc0(W0_802,W1_803))
| ~ isCountable0(W1_803)
| ~ aSubsetOf0(W1_803,szDzozmdt0(W0_802))
| ~ aFunction0(W0_802) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_7107,plain,
! [W0_393] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0_393) != xx )
| ~ aElementOf0(W0_393,szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_7063,c_398]) ).
tff(c_7146,plain,
! [W0_393] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0_393) != xx )
| ~ aElementOf0(W0_393,szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_7107]) ).
tff(c_8389,plain,
! [W1_803] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_25'(sdtlpdtrp0(xC,xi),W1_803)) != xx )
| isCountable0(sdtlcdtrc0(sdtlpdtrp0(xC,xi),W1_803))
| ~ isCountable0(W1_803)
| ~ aSubsetOf0(W1_803,szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(resolution,[status(thm)],[c_8326,c_7146]) ).
tff(c_8981,plain,
~ aFunction0(sdtlpdtrp0(xC,xi)),
inference(splitLeft,[status(thm)],[c_8389]) ).
tff(c_8984,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_392,c_8981]) ).
tff(c_8988,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_8984]) ).
tff(c_8990,plain,
aFunction0(sdtlpdtrp0(xC,xi)),
inference(splitRight,[status(thm)],[c_8389]) ).
tff(c_12076,plain,
! [W0_890,W1_891,W3_892] :
( ( sdtlpdtrp0(W0_890,'#skF_22'(W0_890,W1_891,sdtlcdtrc0(W0_890,W1_891),W3_892)) = W3_892 )
| ~ aElementOf0(W3_892,sdtlcdtrc0(W0_890,W1_891))
| ~ aSubsetOf0(W1_891,szDzozmdt0(W0_890))
| ~ aFunction0(W0_890) ),
inference(cnfTransformation,[status(thm)],[f_606]) ).
tff(c_10389,plain,
! [W0_851,W1_852,W3_853] :
( aElementOf0('#skF_22'(W0_851,W1_852,sdtlcdtrc0(W0_851,W1_852),W3_853),W1_852)
| ~ aElementOf0(W3_853,sdtlcdtrc0(W0_851,W1_852))
| ~ aSubsetOf0(W1_852,szDzozmdt0(W0_851))
| ~ aFunction0(W0_851) ),
inference(cnfTransformation,[status(thm)],[f_606]) ).
tff(c_10510,plain,
! [W0_851,W3_853] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_22'(W0_851,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),sdtlcdtrc0(W0_851,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),W3_853)) != xx )
| ~ aElementOf0(W3_853,sdtlcdtrc0(W0_851,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))
| ~ aSubsetOf0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),szDzozmdt0(W0_851))
| ~ aFunction0(W0_851) ),
inference(resolution,[status(thm)],[c_10389,c_398]) ).
tff(c_12095,plain,
! [W3_892] :
( ( xx != W3_892 )
| ~ aElementOf0(W3_892,sdtlcdtrc0(sdtlpdtrp0(xC,xi),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))
| ~ aSubsetOf0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi))
| ~ aElementOf0(W3_892,sdtlcdtrc0(sdtlpdtrp0(xC,xi),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))
| ~ aSubsetOf0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(superposition,[status(thm),theory(equality)],[c_12076,c_10510]) ).
tff(c_12184,plain,
! [W3_892] :
( ( xx != W3_892 )
| ~ aElementOf0(W3_892,sdtlcdtrc0(sdtlpdtrp0(xC,xi),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)))
| ~ aSubsetOf0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),szDzozmdt0(sdtlpdtrp0(xC,xi))) ),
inference(demodulation,[status(thm),theory(equality)],[c_8990,c_8990,c_12095]) ).
tff(c_12254,plain,
~ aSubsetOf0(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(splitLeft,[status(thm)],[c_12184]) ).
tff(c_27550,plain,
( ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_12254]) ).
tff(c_27552,plain,
~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_27550]) ).
tff(c_28035,plain,
~ aSet0(szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(resolution,[status(thm)],[c_34,c_27552]) ).
tff(c_28039,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7144,c_28035]) ).
tff(c_44353,plain,
! [W3_1552] :
( ( xx != W3_1552 )
| ~ aElementOf0(W3_1552,sdtlcdtrc0(sdtlpdtrp0(xC,xi),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))) ),
inference(splitRight,[status(thm)],[c_12184]) ).
tff(c_44464,plain,
! [W3_1552] :
( ( xx != W3_1552 )
| ~ aElementOf0(W3_1552,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_44353]) ).
tff(c_44540,plain,
~ aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_44464]) ).
tff(c_396,plain,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(cnfTransformation,[status(thm)],[f_776]) ).
tff(c_44542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44540,c_396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM586+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % 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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:31:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 26.83/12.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.83/12.76
% 26.83/12.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 27.04/12.80
% 27.04/12.80 Inference rules
% 27.04/12.80 ----------------------
% 27.04/12.80 #Ref : 4
% 27.04/12.80 #Sup : 8943
% 27.04/12.80 #Fact : 6
% 27.04/12.80 #Define : 0
% 27.04/12.80 #Split : 258
% 27.04/12.80 #Chain : 0
% 27.04/12.80 #Close : 0
% 27.04/12.80
% 27.04/12.80 Ordering : KBO
% 27.04/12.80
% 27.04/12.80 Simplification rules
% 27.04/12.80 ----------------------
% 27.04/12.80 #Subsume : 1432
% 27.04/12.80 #Demod : 9204
% 27.04/12.80 #Tautology : 1630
% 27.04/12.80 #SimpNegUnit : 431
% 27.04/12.80 #BackRed : 407
% 27.04/12.80
% 27.04/12.80 #Partial instantiations: 0
% 27.04/12.80 #Strategies tried : 1
% 27.04/12.80
% 27.04/12.80 Timing (in seconds)
% 27.04/12.80 ----------------------
% 27.04/12.80 Preprocessing : 0.88
% 27.04/12.80 Parsing : 0.42
% 27.04/12.80 CNF conversion : 0.09
% 27.04/12.80 Main loop : 10.84
% 27.04/12.80 Inferencing : 2.39
% 27.04/12.80 Reduction : 4.89
% 27.04/12.80 Demodulation : 3.57
% 27.04/12.80 BG Simplification : 0.17
% 27.04/12.80 Subsumption : 2.68
% 27.04/12.80 Abstraction : 0.19
% 27.04/12.80 MUC search : 0.00
% 27.04/12.80 Cooper : 0.00
% 27.04/12.80 Total : 11.77
% 27.04/12.80 Index Insertion : 0.00
% 27.04/12.80 Index Deletion : 0.00
% 27.04/12.80 Index Matching : 0.00
% 27.04/12.80 BG Taut test : 0.00
%------------------------------------------------------------------------------