TSTP Solution File: NUM599+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM599+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 : n005.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 137.84s 114.91s
% Output : CNFRefutation 137.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 73
% Syntax : Number of formulae : 122 ( 19 unt; 66 typ; 0 def)
% Number of atoms : 157 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 185 ( 84 ~; 84 |; 9 &)
% ( 0 <=>; 8 =>; 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 : 37 (; 37 !; 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_854,negated_conjecture,
~ isCountable0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_852,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4930) ).
tff(f_849,hypothesis,
( aSet0(xO)
& ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__3821) ).
tff(c_436,plain,
~ isCountable0(xO),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_434,plain,
aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_852]) ).
tff(c_432,plain,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnfTransformation,[status(thm)],[f_852]) ).
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_7477,plain,
! [W0_771,W1_772] :
( aElementOf0('#skF_25'(W0_771,W1_772),szDzozmdt0(W0_771))
| isCountable0(sdtlcdtrc0(W0_771,W1_772))
| ~ isCountable0(W1_772)
| ~ aSubsetOf0(W1_772,szDzozmdt0(W0_771))
| ~ aFunction0(W0_771) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_7551,plain,
! [W1_772] :
( aElementOf0('#skF_25'(xe,W1_772),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_772))
| ~ isCountable0(W1_772)
| ~ aSubsetOf0(W1_772,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_7477]) ).
tff(c_7603,plain,
! [W1_772] :
( aElementOf0('#skF_25'(xe,W1_772),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_772))
| ~ isCountable0(W1_772)
| ~ aSubsetOf0(W1_772,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_7551]) ).
tff(c_8578,plain,
! [W0_795,W1_796] :
( ( '#skF_24'(W0_795,W1_796) != '#skF_25'(W0_795,W1_796) )
| isCountable0(sdtlcdtrc0(W0_795,W1_796))
| ~ isCountable0(W1_796)
| ~ aSubsetOf0(W1_796,szDzozmdt0(W0_795))
| ~ aFunction0(W0_795) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_8656,plain,
! [W1_796] :
( ( '#skF_24'(xe,W1_796) != '#skF_25'(xe,W1_796) )
| isCountable0(sdtlcdtrc0(xe,W1_796))
| ~ isCountable0(W1_796)
| ~ aSubsetOf0(W1_796,szNzAzT0)
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_8578]) ).
tff(c_208250,plain,
! [W1_3363] :
( ( '#skF_24'(xe,W1_3363) != '#skF_25'(xe,W1_3363) )
| isCountable0(sdtlcdtrc0(xe,W1_3363))
| ~ isCountable0(W1_3363)
| ~ aSubsetOf0(W1_3363,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_8656]) ).
tff(c_208253,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_208250]) ).
tff(c_208255,plain,
( ( '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| isCountable0(xO) ),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_432,c_208253]) ).
tff(c_208256,plain,
'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != '#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(negUnitSimplification,[status(thm)],[c_436,c_208255]) ).
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_7113,plain,
! [W0_766,W1_767] :
( aElementOf0('#skF_24'(W0_766,W1_767),szDzozmdt0(W0_766))
| isCountable0(sdtlcdtrc0(W0_766,W1_767))
| ~ isCountable0(W1_767)
| ~ aSubsetOf0(W1_767,szDzozmdt0(W0_766))
| ~ aFunction0(W0_766) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_7181,plain,
! [W1_767] :
( aElementOf0('#skF_24'(xe,W1_767),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_767))
| ~ isCountable0(W1_767)
| ~ aSubsetOf0(W1_767,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_7113]) ).
tff(c_7233,plain,
! [W1_767] :
( aElementOf0('#skF_24'(xe,W1_767),szNzAzT0)
| isCountable0(sdtlcdtrc0(xe,W1_767))
| ~ isCountable0(W1_767)
| ~ aSubsetOf0(W1_767,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_7181]) ).
tff(c_112508,plain,
! [W0_2151,W1_2152] :
( ( sdtlpdtrp0(W0_2151,'#skF_24'(W0_2151,W1_2152)) = sdtlpdtrp0(W0_2151,'#skF_25'(W0_2151,W1_2152)) )
| isCountable0(sdtlcdtrc0(W0_2151,W1_2152))
| ~ isCountable0(W1_2152)
| ~ aSubsetOf0(W1_2152,szDzozmdt0(W0_2151))
| ~ aFunction0(W0_2151) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_112561,plain,
! [W1_2152] :
( ( sdtlpdtrp0(xe,'#skF_24'(xe,W1_2152)) = sdtlpdtrp0(xe,'#skF_25'(xe,W1_2152)) )
| isCountable0(sdtlcdtrc0(xe,W1_2152))
| ~ isCountable0(W1_2152)
| ~ aSubsetOf0(W1_2152,szNzAzT0)
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_112508]) ).
tff(c_365215,plain,
! [W1_4667] :
( ( sdtlpdtrp0(xe,'#skF_24'(xe,W1_4667)) = sdtlpdtrp0(xe,'#skF_25'(xe,W1_4667)) )
| isCountable0(sdtlcdtrc0(xe,W1_4667))
| ~ isCountable0(W1_4667)
| ~ aSubsetOf0(W1_4667,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_112561]) ).
tff(c_365218,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_365215]) ).
tff(c_365220,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_434,c_432,c_365218]) ).
tff(c_365221,plain,
sdtlpdtrp0(xe,'#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) = sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(negUnitSimplification,[status(thm)],[c_436,c_365220]) ).
tff(c_3306,plain,
! [W0_631,W1_632] :
( aElementOf0(sdtlpdtrp0(W0_631,W1_632),sdtlcdtrc0(W0_631,szDzozmdt0(W0_631)))
| ~ aElementOf0(W1_632,szDzozmdt0(W0_631))
| ~ aFunction0(W0_631) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_3332,plain,
! [W1_632] :
( aElementOf0(sdtlpdtrp0(xe,W1_632),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(W1_632,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_3306]) ).
tff(c_3349,plain,
! [W1_632] :
( aElementOf0(sdtlpdtrp0(xe,W1_632),sdtlcdtrc0(xe,szNzAzT0))
| ~ aElementOf0(W1_632,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_412,c_3332]) ).
tff(c_365329,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_365221,c_3349]) ).
tff(c_367039,plain,
~ aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_365329]) ).
tff(c_367045,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_7233,c_367039]) ).
tff(c_367051,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_432,c_428,c_367045]) ).
tff(c_367053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_367051]) ).
tff(c_367055,plain,
aElementOf0('#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitRight,[status(thm)],[c_365329]) ).
tff(c_5879,plain,
! [W1_717,W0_718] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_717)) != szmzizndt0(sdtlpdtrp0(xN,W0_718)) )
| ( W1_717 = W0_718 )
| ~ aElementOf0(W1_717,szNzAzT0)
| ~ aElementOf0(W0_718,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_5885,plain,
! [W1_717,W0_420] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_717)) != sdtlpdtrp0(xe,W0_420) )
| ( W1_717 = W0_420 )
| ~ aElementOf0(W1_717,szNzAzT0)
| ~ aElementOf0(W0_420,szNzAzT0)
| ~ aElementOf0(W0_420,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_5879]) ).
tff(c_365310,plain,
! [W1_717] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_717)) != sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| ( W1_717 = '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(W1_717,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_365221,c_5885]) ).
tff(c_369175,plain,
! [W1_4700] :
( ( szmzizndt0(sdtlpdtrp0(xN,W1_4700)) != sdtlpdtrp0(xe,'#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) )
| ( W1_4700 = '#skF_24'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
| ~ aElementOf0(W1_4700,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_367055,c_367055,c_365310]) ).
tff(c_369192,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_369175]) ).
tff(c_380720,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_369192]) ).
tff(c_380721,plain,
( ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
| ~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_208256,c_380720]) ).
tff(c_381044,plain,
~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_380721]) ).
tff(c_381065,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_7603,c_381044]) ).
tff(c_381071,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_432,c_428,c_381065]) ).
tff(c_381073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_381071]) ).
tff(c_381074,plain,
~ aElementOf0('#skF_25'(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0),
inference(splitRight,[status(thm)],[c_380721]) ).
tff(c_381147,plain,
( isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))
| ~ isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_7603,c_381074]) ).
tff(c_381153,plain,
isCountable0(xO),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_432,c_428,c_381147]) ).
tff(c_381155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_381153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM599+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n005.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 14:55:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 137.84/114.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 137.84/114.91
% 137.84/114.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 137.93/114.94
% 137.93/114.95 Inference rules
% 137.93/114.95 ----------------------
% 137.93/114.95 #Ref : 16
% 137.93/114.95 #Sup : 74489
% 137.93/114.95 #Fact : 18
% 137.93/114.95 #Define : 0
% 137.93/114.95 #Split : 1207
% 137.93/114.95 #Chain : 0
% 137.93/114.95 #Close : 0
% 137.93/114.95
% 137.93/114.95 Ordering : KBO
% 137.93/114.95
% 137.93/114.95 Simplification rules
% 137.93/114.95 ----------------------
% 137.93/114.95 #Subsume : 19016
% 137.93/114.95 #Demod : 98008
% 137.93/114.95 #Tautology : 14978
% 137.93/114.95 #SimpNegUnit : 8211
% 137.93/114.95 #BackRed : 4665
% 137.93/114.95
% 137.93/114.95 #Partial instantiations: 0
% 137.93/114.95 #Strategies tried : 1
% 137.93/114.95
% 137.93/114.95 Timing (in seconds)
% 137.93/114.95 ----------------------
% 137.93/114.95 Preprocessing : 0.87
% 137.93/114.95 Parsing : 0.42
% 137.93/114.95 CNF conversion : 0.09
% 137.93/114.95 Main loop : 112.99
% 137.93/114.95 Inferencing : 20.11
% 137.93/114.95 Reduction : 58.04
% 137.93/114.95 Demodulation : 46.07
% 137.93/114.95 BG Simplification : 0.55
% 137.93/114.95 Subsumption : 25.83
% 137.93/114.95 Abstraction : 1.05
% 137.93/114.95 MUC search : 0.00
% 137.93/114.95 Cooper : 0.00
% 137.93/114.95 Total : 113.92
% 137.93/114.95 Index Insertion : 0.00
% 137.93/114.95 Index Deletion : 0.00
% 137.93/114.95 Index Matching : 0.00
% 137.93/114.95 BG Taut test : 0.00
%------------------------------------------------------------------------------