TSTP Solution File: NUM598+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM598+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 : n013.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 10:52:16 EDT 2023
% Result : Theorem 153.28s 129.02s
% Output : CNFRefutation 153.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 77
% Syntax : Number of formulae : 140 ( 27 unt; 66 typ; 0 def)
% Number of atoms : 195 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 218 ( 97 ~; 94 |; 14 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 105 ( 53 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 13 con; 0-4 aty)
% Number of variables : 49 (; 49 !; 0 ?; 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 > xk > 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_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_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('#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('#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_851,negated_conjecture,
~ isCountable0(xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_663,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
tff(f_846,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_842,hypothesis,
( aFunction0(xd)
& ( szDzozmdt0(xd) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) )
=> ( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
tff(f_588,axiom,
! [W0,W1] :
( ( aFunction0(W0)
& aElement0(W1) )
=> aSubsetOf0(sdtlbdtrb0(W0,W1),szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
tff(f_849,hypothesis,
( aSet0(xO)
& ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
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_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/sandbox/benchmark/theBenchmark.p',mImgCount) ).
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_748,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& ( W0 != W1 ) )
=> ( szmzizndt0(sdtlpdtrp0(xN,W0)) != szmzizndt0(sdtlpdtrp0(xN,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
tff(c_432,plain,
~ isCountable0(xO),
inference(cnfTransformation,[status(thm)],[f_851]) ).
tff(c_334,plain,
aSet0(xT),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_426,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnfTransformation,[status(thm)],[f_846]) ).
tff(c_643,plain,
! [W1_442,W0_443] :
( aElement0(W1_442)
| ~ aElementOf0(W1_442,W0_443)
| ~ aSet0(W0_443) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_649,plain,
( aElement0(szDzizrdt0(xd))
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_426,c_643]) ).
tff(c_664,plain,
aElement0(szDzizrdt0(xd)),
inference(demodulation,[status(thm),theory(equality)],[c_334,c_649]) ).
tff(c_420,plain,
aFunction0(xd),
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_418,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_1402,plain,
! [W0_519,W1_520] :
( aSubsetOf0(sdtlbdtrb0(W0_519,W1_520),szDzozmdt0(W0_519))
| ~ aElement0(W1_520)
| ~ aFunction0(W0_519) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_1426,plain,
! [W1_520] :
( aSubsetOf0(sdtlbdtrb0(xd,W1_520),szNzAzT0)
| ~ aElement0(W1_520)
| ~ aFunction0(xd) ),
inference(superposition,[status(thm),theory(equality)],[c_418,c_1402]) ).
tff(c_1438,plain,
! [W1_520] :
( aSubsetOf0(sdtlbdtrb0(xd,W1_520),szNzAzT0)
| ~ aElement0(W1_520) ),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_1426]) ).
tff(c_424,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnfTransformation,[status(thm)],[f_846]) ).
tff(c_428,plain,
sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
inference(cnfTransformation,[status(thm)],[f_849]) ).
tff(c_414,plain,
aFunction0(xe),
inference(cnfTransformation,[status(thm)],[f_829]) ).
tff(c_412,plain,
szDzozmdt0(xe) = szNzAzT0,
inference(cnfTransformation,[status(thm)],[f_829]) ).
tff(c_6674,plain,
! [W0_744,W1_745] :
( ( '#skF_24'(W0_744,W1_745) != '#skF_25'(W0_744,W1_745) )
| isCountable0(sdtlcdtrc0(W0_744,W1_745))
| ~ isCountable0(W1_745)
| ~ aSubsetOf0(W1_745,szDzozmdt0(W0_744))
| ~ aFunction0(W0_744) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_6736,plain,
! [W1_745] :
( ( '#skF_24'(xe,W1_745) != '#skF_25'(xe,W1_745) )
| isCountable0(sdtlcdtrc0(xe,W1_745))
| ~ isCountable0(W1_745)
| ~ aSubsetOf0(W1_745,szNzAzT0)
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_6674]) ).
tff(c_206450,plain,
! [W1_3361] :
( ( '#skF_24'(xe,W1_3361) != '#skF_25'(xe,W1_3361) )
| isCountable0(sdtlcdtrc0(xe,W1_3361))
| ~ isCountable0(W1_3361)
| ~ aSubsetOf0(W1_3361,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_6736]) ).
tff(c_206453,plain,
( ( '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| isCountable0(xO)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_206450]) ).
tff(c_206455,plain,
( ( '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| isCountable0(xO)
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_424,c_206453]) ).
tff(c_206456,plain,
( ( '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_206455]) ).
tff(c_206511,plain,
~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_206456]) ).
tff(c_206547,plain,
~ aElement0(szDzizrdt0(xd)),
inference(resolution,[status(thm)],[c_1438,c_206511]) ).
tff(c_206552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_664,c_206547]) ).
tff(c_206554,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(splitRight,[status(thm)],[c_206456]) ).
tff(c_8357,plain,
! [W0_783,W1_784] :
( aElementOf0('#skF_25'(W0_783,W1_784),szDzozmdt0(W0_783))
| isCountable0(sdtlcdtrc0(W0_783,W1_784))
| ~ isCountable0(W1_784)
| ~ aSubsetOf0(W1_784,szDzozmdt0(W0_783))
| ~ aFunction0(W0_783) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_8443,plain,
! [W1_784] :
( aElementOf0('#skF_25'(xe,W1_784),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_784))
| ~ isCountable0(W1_784)
| ~ aSubsetOf0(W1_784,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_8357]) ).
tff(c_8494,plain,
! [W1_784] :
( aElementOf0('#skF_25'(xe,W1_784),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_784))
| ~ isCountable0(W1_784)
| ~ aSubsetOf0(W1_784,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_8443]) ).
tff(c_206553,plain,
'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(splitRight,[status(thm)],[c_206456]) ).
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_6863,plain,
! [W0_748,W1_749] :
( aElementOf0('#skF_24'(W0_748,W1_749),szDzozmdt0(W0_748))
| isCountable0(sdtlcdtrc0(W0_748,W1_749))
| ~ isCountable0(W1_749)
| ~ aSubsetOf0(W1_749,szDzozmdt0(W0_748))
| ~ aFunction0(W0_748) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_6934,plain,
! [W1_749] :
( aElementOf0('#skF_24'(xe,W1_749),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_749))
| ~ isCountable0(W1_749)
| ~ aSubsetOf0(W1_749,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_6863]) ).
tff(c_6985,plain,
! [W1_749] :
( aElementOf0('#skF_24'(xe,W1_749),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_749))
| ~ isCountable0(W1_749)
| ~ aSubsetOf0(W1_749,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_6934]) ).
tff(c_118709,plain,
! [W0_2216,W1_2217] :
( ( sdtlpdtrp0(W0_2216,'#skF_24'(W0_2216,W1_2217)) = sdtlpdtrp0(W0_2216,'#skF_25'(W0_2216,W1_2217)) )
| isCountable0(sdtlcdtrc0(W0_2216,W1_2217))
| ~ isCountable0(W1_2217)
| ~ aSubsetOf0(W1_2217,szDzozmdt0(W0_2216))
| ~ aFunction0(W0_2216) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_118764,plain,
! [W1_2217] :
( ( sdtlpdtrp0(xe,'#skF_24'(xe,W1_2217)) = sdtlpdtrp0(xe,'#skF_25'(xe,W1_2217)) )
| isCountable0(sdtlcdtrc0(xe,W1_2217))
| ~ isCountable0(W1_2217)
| ~ aSubsetOf0(W1_2217,szNzAzT0)
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_118709]) ).
tff(c_384498,plain,
! [W1_5398] :
( ( sdtlpdtrp0(xe,'#skF_24'(xe,W1_5398)) = sdtlpdtrp0(xe,'#skF_25'(xe,W1_5398)) )
| isCountable0(sdtlcdtrc0(xe,W1_5398))
| ~ isCountable0(W1_5398)
| ~ aSubsetOf0(W1_5398,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_118764]) ).
tff(c_384501,plain,
( ( sdtlpdtrp0(xe,'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| isCountable0(xO)
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_384498]) ).
tff(c_384503,plain,
( ( sdtlpdtrp0(xe,'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| isCountable0(xO) ),
inference(demodulation,[status(thm),theory(equality)],[c_206554,c_424,c_384501]) ).
tff(c_384504,plain,
sdtlpdtrp0(xe,'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(negUnitSimplification,[status(thm)],[c_432,c_384503]) ).
tff(c_3618,plain,
! [W0_634,W1_635] :
( aElementOf0(sdtlpdtrp0(W0_634,W1_635),sdtlcdtrc0(W0_634,szDzozmdt0(W0_634)))
| ~ aElementOf0(W1_635,szDzozmdt0(W0_634))
| ~ aFunction0(W0_634) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_3662,plain,
! [W1_635] :
( aElementOf0(sdtlpdtrp0(xe,W1_635),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(W1_635,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_3618]) ).
tff(c_3688,plain,
! [W1_635] :
( aElementOf0(sdtlpdtrp0(xe,W1_635),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(W1_635,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_3662]) ).
tff(c_384644,plain,
( aElementOf0(sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_384504,c_3688]) ).
tff(c_385396,plain,
~ aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_384644]) ).
tff(c_385399,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_6985,c_385396]) ).
tff(c_385402,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_206554,c_424,c_428,c_385399]) ).
tff(c_385404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_385402]) ).
tff(c_385406,plain,
aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitRight,[status(thm)],[c_384644]) ).
tff(c_5184,plain,
! [W1_676,W0_677] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_676)) != szmzizndt0(sdtlpdtrp0(xN,W0_677)) )
| ( W1_676 = W0_677 )
| ~ aElementOf0(W1_676,szNzAzT0)
| ~ aElementOf0(W0_677,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_5190,plain,
! [W1_676,W0_420] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_676)) != sdtlpdtrp0(xe,W0_420) )
| ( W1_676 = W0_420 )
| ~ aElementOf0(W1_676,szNzAzT0)
| ~ aElementOf0(W0_420,szNzAzT0)
| ~ aElementOf0(W0_420,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_5184]) ).
tff(c_384628,plain,
! [W1_676] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_676)) != sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| ( W1_676 = '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(W1_676,szNzAzT0)
| ~ aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_384504,c_5190]) ).
tff(c_387205,plain,
! [W1_5409] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_5409)) != sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| ( W1_5409 = '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(W1_5409,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_385406,c_385406,c_384628]) ).
tff(c_387222,plain,
! [W0_420] :
( ( sdtlpdtrp0(xe,W0_420) != sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| ( W0_420 = '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(W0_420,szNzAzT0)
| ~ aElementOf0(W0_420,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_387205]) ).
tff(c_401677,plain,
( ( '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(reflexivity,[status(thm),theory(equality)],[c_387222]) ).
tff(c_401678,plain,
( ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_206553,c_401677]) ).
tff(c_402048,plain,
~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_401678]) ).
tff(c_402054,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_8494,c_402048]) ).
tff(c_402060,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_206554,c_424,c_428,c_402054]) ).
tff(c_402062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_402060]) ).
tff(c_402063,plain,
~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitRight,[status(thm)],[c_401678]) ).
tff(c_402070,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_8494,c_402063]) ).
tff(c_402076,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_206554,c_424,c_428,c_402070]) ).
tff(c_402078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_402076]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM598+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
% 0.15/0.36 % Computer : n013.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 14:45:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 153.28/129.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 153.28/129.03
% 153.28/129.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 153.28/129.06
% 153.28/129.06 Inference rules
% 153.28/129.06 ----------------------
% 153.28/129.06 #Ref : 15
% 153.28/129.06 #Sup : 78127
% 153.28/129.06 #Fact : 18
% 153.28/129.06 #Define : 0
% 153.28/129.06 #Split : 1219
% 153.28/129.06 #Chain : 0
% 153.28/129.06 #Close : 0
% 153.28/129.06
% 153.28/129.06 Ordering : KBO
% 153.28/129.06
% 153.28/129.06 Simplification rules
% 153.28/129.06 ----------------------
% 153.28/129.06 #Subsume : 19206
% 153.28/129.06 #Demod : 102568
% 153.28/129.06 #Tautology : 14591
% 153.28/129.06 #SimpNegUnit : 9493
% 153.28/129.06 #BackRed : 5220
% 153.28/129.06
% 153.28/129.06 #Partial instantiations: 0
% 153.28/129.06 #Strategies tried : 1
% 153.28/129.06
% 153.28/129.06 Timing (in seconds)
% 153.28/129.06 ----------------------
% 153.28/129.07 Preprocessing : 0.90
% 153.28/129.07 Parsing : 0.44
% 153.28/129.07 CNF conversion : 0.09
% 153.28/129.07 Main loop : 126.99
% 153.28/129.07 Inferencing : 21.36
% 153.28/129.07 Reduction : 66.90
% 153.28/129.07 Demodulation : 53.37
% 153.28/129.07 BG Simplification : 0.65
% 153.28/129.07 Subsumption : 29.02
% 153.28/129.07 Abstraction : 1.24
% 153.28/129.07 MUC search : 0.00
% 153.28/129.07 Cooper : 0.00
% 153.28/129.07 Total : 127.95
% 153.28/129.07 Index Insertion : 0.00
% 153.28/129.07 Index Deletion : 0.00
% 153.28/129.07 Index Matching : 0.00
% 153.28/129.07 BG Taut test : 0.00
%------------------------------------------------------------------------------