TSTP Solution File: NUM566+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM566+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 : n029.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 10:52:09 EDT 2023
% Result : Theorem 35.84s 19.89s
% Output : CNFRefutation 35.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 79
% Syntax : Number of formulae : 168 ( 40 unt; 58 typ; 3 def)
% Number of atoms : 255 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 252 ( 107 ~; 106 |; 16 &)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 51 >; 53 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 7 con; 0-4 aty)
% Number of variables : 78 (; 76 !; 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 > xc > xT > xS > xK > 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_28 > #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('#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(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('#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(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_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_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_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_702,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
tff(f_672,hypothesis,
( aFunction0(xc)
& ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
tff(f_720,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( aSubsetOf0(W1,xS)
& isCountable0(W1)
& ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> ( sdtlpdtrp0(xc,W2) = W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_707,hypothesis,
! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xS,sz00))
=> ( sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3507) ).
tff(f_663,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
tff(f_703,hypothesis,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3476) ).
tff(f_664,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
tff(f_507,axiom,
! [W0] :
( ( aSet0(W0)
& ~ isFinite0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> ( slbdtsldtrb0(W0,W1) != slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
tff(f_559,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_440,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
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_257,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
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/sandbox/benchmark/theBenchmark.p',mDefSel) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_613,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
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_547,plain,
! [W1_417,W0_418] :
( aSet0(W1_417)
| ~ aSubsetOf0(W1_417,W0_418)
| ~ aSet0(W0_418) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_559,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_340,c_547]) ).
tff(c_567,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_559]) ).
tff(c_338,plain,
isCountable0(xS),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_356,plain,
xK = sz00,
inference(cnfTransformation,[status(thm)],[f_702]) ).
tff(c_344,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_370,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_344]) ).
tff(c_364,plain,
! [W0_382,W1_386] :
( aElementOf0('#skF_28'(W0_382,W1_386),slbdtsldtrb0(W1_386,xK))
| ~ isCountable0(W1_386)
| ~ aSubsetOf0(W1_386,xS)
| ~ aElementOf0(W0_382,xT) ),
inference(cnfTransformation,[status(thm)],[f_720]) ).
tff(c_365,plain,
! [W0_382,W1_386] :
( aElementOf0('#skF_28'(W0_382,W1_386),slbdtsldtrb0(W1_386,sz00))
| ~ isCountable0(W1_386)
| ~ aSubsetOf0(W1_386,xS)
| ~ aElementOf0(W0_382,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_364]) ).
tff(c_404,plain,
! [W0_382] :
( aElementOf0('#skF_28'(W0_382,xS),szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_382,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_365]) ).
tff(c_408,plain,
! [W0_382] :
( aElementOf0('#skF_28'(W0_382,xS),szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_382,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_404]) ).
tff(c_440,plain,
~ aSubsetOf0(xS,xS),
inference(splitLeft,[status(thm)],[c_408]) ).
tff(c_444,plain,
~ aSet0(xS),
inference(resolution,[status(thm)],[c_34,c_440]) ).
tff(c_486,plain,
! [W1_408,W0_409] :
( aSet0(W1_408)
| ~ aSubsetOf0(W1_408,W0_409)
| ~ aSet0(W0_409) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_495,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_340,c_486]) ).
tff(c_502,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_495]) ).
tff(c_504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_502]) ).
tff(c_506,plain,
aSubsetOf0(xS,xS),
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_505,plain,
! [W0_382] :
( aElementOf0('#skF_28'(W0_382,xS),szDzozmdt0(xc))
| ~ aElementOf0(W0_382,xT) ),
inference(splitRight,[status(thm)],[c_408]) ).
tff(c_360,plain,
! [W0_381] :
( ( sdtlpdtrp0(xc,slcrc0) = sdtlpdtrp0(xc,W0_381) )
| ~ aElementOf0(W0_381,slbdtsldtrb0(xS,sz00)) ),
inference(cnfTransformation,[status(thm)],[f_707]) ).
tff(c_1113,plain,
! [W0_485] :
( ( sdtlpdtrp0(xc,slcrc0) = sdtlpdtrp0(xc,W0_485) )
| ~ aElementOf0(W0_485,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_360]) ).
tff(c_1149,plain,
! [W0_489] :
( ( sdtlpdtrp0(xc,'#skF_28'(W0_489,xS)) = sdtlpdtrp0(xc,slcrc0) )
| ~ aElementOf0(W0_489,xT) ),
inference(resolution,[status(thm)],[c_505,c_1113]) ).
tff(c_362,plain,
! [W0_382,W1_386] :
( ( sdtlpdtrp0(xc,'#skF_28'(W0_382,W1_386)) != W0_382 )
| ~ isCountable0(W1_386)
| ~ aSubsetOf0(W1_386,xS)
| ~ aElementOf0(W0_382,xT) ),
inference(cnfTransformation,[status(thm)],[f_720]) ).
tff(c_1158,plain,
! [W0_489] :
( ( sdtlpdtrp0(xc,slcrc0) != W0_489 )
| ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_489,xT)
| ~ aElementOf0(W0_489,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_1149,c_362]) ).
tff(c_1167,plain,
~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(demodulation,[status(thm),theory(equality)],[c_506,c_338,c_1158]) ).
tff(c_334,plain,
aSet0(xT),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_342,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_358,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnfTransformation,[status(thm)],[f_703]) ).
tff(c_372,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_358]) ).
tff(c_336,plain,
aElementOf0(xK,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_373,plain,
aElementOf0(sz00,szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_356,c_336]) ).
tff(c_1254,plain,
! [W0_509,W1_510] :
( ( slbdtsldtrb0(W0_509,W1_510) != slcrc0 )
| ~ aElementOf0(W1_510,szNzAzT0)
| isFinite0(W0_509)
| ~ aSet0(W0_509) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_1256,plain,
( ( szDzozmdt0(xc) != slcrc0 )
| ~ aElementOf0(sz00,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_1254]) ).
tff(c_1258,plain,
( ( szDzozmdt0(xc) != slcrc0 )
| isFinite0(xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_373,c_1256]) ).
tff(c_1259,plain,
szDzozmdt0(xc) != slcrc0,
inference(splitLeft,[status(thm)],[c_1258]) ).
tff(c_346,plain,
aFunction0(xc),
inference(cnfTransformation,[status(thm)],[f_672]) ).
tff(c_262,plain,
! [W0_184] :
( aSet0(szDzozmdt0(W0_184))
| ~ aFunction0(W0_184) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_568,plain,
! [W1_419,W0_420] :
( aElement0(W1_419)
| ~ aElementOf0(W1_419,W0_420)
| ~ aSet0(W0_420) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_589,plain,
( aElement0(slcrc0)
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_372,c_568]) ).
tff(c_625,plain,
~ aSet0(szDzozmdt0(xc)),
inference(splitLeft,[status(thm)],[c_589]) ).
tff(c_628,plain,
~ aFunction0(xc),
inference(resolution,[status(thm)],[c_262,c_625]) ).
tff(c_632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_346,c_628]) ).
tff(c_634,plain,
aSet0(szDzozmdt0(xc)),
inference(splitRight,[status(thm)],[c_589]) ).
tff(c_208,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnfTransformation,[status(thm)],[f_440]) ).
tff(c_204,plain,
! [W0_133,W1_139] :
( aElementOf0('#skF_11'(W0_133,W1_139),szNzAzT0)
| aElementOf0('#skF_12'(W0_133,W1_139),W1_139)
| ( slbdtrb0(W0_133) = W1_139 )
| ~ aSet0(W1_139)
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_95948,plain,
! [W0_2872,W1_2873] :
( sdtlseqdt0(szszuzczcdt0('#skF_11'(W0_2872,W1_2873)),W0_2872)
| aElementOf0('#skF_12'(W0_2872,W1_2873),W1_2873)
| ( slbdtrb0(W0_2872) = W1_2873 )
| ~ aSet0(W1_2873)
| ~ aElementOf0(W0_2872,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_128,plain,
! [W0_81] :
( ~ sdtlseqdt0(szszuzczcdt0(W0_81),sz00)
| ~ aElementOf0(W0_81,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_95985,plain,
! [W1_2873] :
( ~ aElementOf0('#skF_11'(sz00,W1_2873),szNzAzT0)
| aElementOf0('#skF_12'(sz00,W1_2873),W1_2873)
| ( slbdtrb0(sz00) = W1_2873 )
| ~ aSet0(W1_2873)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c_95948,c_128]) ).
tff(c_96090,plain,
! [W1_2874] :
( ~ aElementOf0('#skF_11'(sz00,W1_2874),szNzAzT0)
| aElementOf0('#skF_12'(sz00,W1_2874),W1_2874)
| ( slcrc0 = W1_2874 )
| ~ aSet0(W1_2874) ),
inference(demodulation,[status(thm),theory(equality)],[c_373,c_208,c_95985]) ).
tff(c_96093,plain,
! [W1_139] :
( ( slcrc0 = W1_139 )
| aElementOf0('#skF_12'(sz00,W1_139),W1_139)
| ( slbdtrb0(sz00) = W1_139 )
| ~ aSet0(W1_139)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c_204,c_96090]) ).
tff(c_96097,plain,
! [W1_2875] :
( aElementOf0('#skF_12'(sz00,W1_2875),W1_2875)
| ( slcrc0 = W1_2875 )
| ~ aSet0(W1_2875) ),
inference(demodulation,[status(thm),theory(equality)],[c_373,c_208,c_96093]) ).
tff(c_29256,plain,
! [W3_1364,W1_1365,W0_1366] :
( ( sbrdtbr0(W3_1364) = W1_1365 )
| ~ aElementOf0(W3_1364,slbdtsldtrb0(W0_1366,W1_1365))
| ~ aElementOf0(W1_1365,szNzAzT0)
| ~ aSet0(W0_1366) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_29279,plain,
! [W3_1364] :
( ( sbrdtbr0(W3_1364) = sz00 )
| ~ aElementOf0(W3_1364,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_29256]) ).
tff(c_29289,plain,
! [W3_1364] :
( ( sbrdtbr0(W3_1364) = sz00 )
| ~ aElementOf0(W3_1364,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_373,c_29279]) ).
tff(c_96127,plain,
( ( sbrdtbr0('#skF_12'(sz00,szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_96097,c_29289]) ).
tff(c_96210,plain,
( ( sbrdtbr0('#skF_12'(sz00,szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634,c_96127]) ).
tff(c_96211,plain,
sbrdtbr0('#skF_12'(sz00,szDzozmdt0(xc))) = sz00,
inference(negUnitSimplification,[status(thm)],[c_1259,c_96210]) ).
tff(c_28932,plain,
! [W3_1349,W0_1350,W1_1351] :
( aSubsetOf0(W3_1349,W0_1350)
| ~ aElementOf0(W3_1349,slbdtsldtrb0(W0_1350,W1_1351))
| ~ aElementOf0(W1_1351,szNzAzT0)
| ~ aSet0(W0_1350) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_28955,plain,
! [W3_1349] :
( aSubsetOf0(W3_1349,xS)
| ~ aElementOf0(W3_1349,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_370,c_28932]) ).
tff(c_28965,plain,
! [W3_1349] :
( aSubsetOf0(W3_1349,xS)
| ~ aElementOf0(W3_1349,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_373,c_28955]) ).
tff(c_96135,plain,
( aSubsetOf0('#skF_12'(sz00,szDzozmdt0(xc)),xS)
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_96097,c_28965]) ).
tff(c_96215,plain,
( aSubsetOf0('#skF_12'(sz00,szDzozmdt0(xc)),xS)
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634,c_96135]) ).
tff(c_96216,plain,
aSubsetOf0('#skF_12'(sz00,szDzozmdt0(xc)),xS),
inference(negUnitSimplification,[status(thm)],[c_1259,c_96215]) ).
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_96275,plain,
( aSet0('#skF_12'(sz00,szDzozmdt0(xc)))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_96216,c_26]) ).
tff(c_96301,plain,
aSet0('#skF_12'(sz00,szDzozmdt0(xc))),
inference(demodulation,[status(thm),theory(equality)],[c_567,c_96275]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_96305,plain,
( ( '#skF_12'(sz00,szDzozmdt0(xc)) = slcrc0 )
| ( sbrdtbr0('#skF_12'(sz00,szDzozmdt0(xc))) != sz00 ) ),
inference(resolution,[status(thm)],[c_96301,c_156]) ).
tff(c_97078,plain,
'#skF_12'(sz00,szDzozmdt0(xc)) = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_96211,c_96305]) ).
tff(c_371,plain,
! [W0_381] :
( ( sdtlpdtrp0(xc,slcrc0) = sdtlpdtrp0(xc,W0_381) )
| ~ aElementOf0(W0_381,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_370,c_360]) ).
tff(c_96164,plain,
( ( sdtlpdtrp0(xc,'#skF_12'(sz00,szDzozmdt0(xc))) = sdtlpdtrp0(xc,slcrc0) )
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_96097,c_371]) ).
tff(c_96232,plain,
( ( sdtlpdtrp0(xc,'#skF_12'(sz00,szDzozmdt0(xc))) = sdtlpdtrp0(xc,slcrc0) )
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_634,c_96164]) ).
tff(c_96233,plain,
sdtlpdtrp0(xc,'#skF_12'(sz00,szDzozmdt0(xc))) = sdtlpdtrp0(xc,slcrc0),
inference(negUnitSimplification,[status(thm)],[c_1259,c_96232]) ).
tff(c_308,plain,
! [W0_285,W1_287] :
( aElementOf0(sdtlpdtrp0(W0_285,W1_287),sdtlcdtrc0(W0_285,szDzozmdt0(W0_285)))
| ~ aElementOf0(W1_287,szDzozmdt0(W0_285))
| ~ aFunction0(W0_285) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_96830,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0('#skF_12'(sz00,szDzozmdt0(xc)),szDzozmdt0(xc))
| ~ aFunction0(xc) ),
inference(superposition,[status(thm),theory(equality)],[c_96233,c_308]) ).
tff(c_96838,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0('#skF_12'(sz00,szDzozmdt0(xc)),szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_96830]) ).
tff(c_113247,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(demodulation,[status(thm),theory(equality)],[c_372,c_97078,c_96838]) ).
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_113258,plain,
! [W0_3203] :
( aElementOf0(sdtlpdtrp0(xc,slcrc0),W0_3203)
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),W0_3203)
| ~ aSet0(W0_3203) ),
inference(resolution,[status(thm)],[c_113247,c_24]) ).
tff(c_113289,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_342,c_113258]) ).
tff(c_113318,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(demodulation,[status(thm),theory(equality)],[c_334,c_113289]) ).
tff(c_113320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1167,c_113318]) ).
tff(c_113321,plain,
isFinite0(xS),
inference(splitRight,[status(thm)],[c_1258]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_113325,plain,
( ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_113321,c_20]) ).
tff(c_113329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_567,c_338,c_113325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM566+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n029.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 15:09:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 35.84/19.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.84/19.90
% 35.84/19.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.84/19.94
% 35.84/19.94 Inference rules
% 35.84/19.94 ----------------------
% 35.84/19.94 #Ref : 5
% 35.84/19.94 #Sup : 23167
% 35.84/19.94 #Fact : 0
% 35.84/19.94 #Define : 0
% 35.84/19.94 #Split : 263
% 35.84/19.94 #Chain : 0
% 35.84/19.94 #Close : 0
% 35.84/19.94
% 35.84/19.94 Ordering : KBO
% 35.84/19.94
% 35.84/19.94 Simplification rules
% 35.84/19.94 ----------------------
% 35.84/19.94 #Subsume : 7680
% 35.84/19.94 #Demod : 24469
% 35.84/19.94 #Tautology : 4167
% 35.84/19.94 #SimpNegUnit : 1585
% 35.84/19.94 #BackRed : 417
% 35.84/19.94
% 35.84/19.94 #Partial instantiations: 0
% 35.84/19.94 #Strategies tried : 1
% 35.84/19.94
% 35.84/19.94 Timing (in seconds)
% 35.84/19.94 ----------------------
% 35.84/19.94 Preprocessing : 0.83
% 35.84/19.94 Parsing : 0.39
% 35.84/19.94 CNF conversion : 0.09
% 35.84/19.94 Main loop : 17.95
% 35.84/19.94 Inferencing : 4.45
% 35.84/19.94 Reduction : 7.24
% 35.84/19.94 Demodulation : 5.23
% 35.84/19.94 BG Simplification : 0.23
% 35.84/19.94 Subsumption : 5.04
% 35.84/19.95 Abstraction : 0.32
% 35.84/19.95 MUC search : 0.00
% 35.84/19.95 Cooper : 0.00
% 35.84/19.95 Total : 18.85
% 35.84/19.95 Index Insertion : 0.00
% 35.84/19.95 Index Deletion : 0.00
% 35.84/19.95 Index Matching : 0.00
% 35.84/19.95 BG Taut test : 0.00
%------------------------------------------------------------------------------