%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM592+1 : TPTP v9.0.0. 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 : n032.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 : Wed Apr 9 07:56:31 PM UTC 2025
% Result : Theorem 8.47s 3.16s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 15 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 91 ( 43 ~; 37 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 15 con; 0-4 aty)
% Number of variables : 24 ( 22 !; 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 > xu > xk > xi > xd > xc > xY > xX > 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_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(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(xX,type,
xX: $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(xu,type,
xu: $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(xY,type,
xY: $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_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_818,hypothesis,
( aElementOf0(xu,xT)
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [W0] :
( ( aSet0(W0)
& aElementOf0(W0,slbdtsldtrb0(xX,xk)) )
=> ( sdtlpdtrp0(xd,W0) = xu ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4545) ).
tff(f_797,hypothesis,
( ( xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) )
& ( xd = sdtlpdtrp0(xC,xi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
tff(f_833,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),W2) = W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_420,plain,
aSubsetOf0(xX,xY),
inference(cnfTransformation,[status(thm)],[f_818]) ).
tff(c_418,plain,
isCountable0(xX),
inference(cnfTransformation,[status(thm)],[f_818]) ).
tff(c_404,plain,
sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
inference(cnfTransformation,[status(thm)],[f_797]) ).
tff(c_428,plain,
! [W0_402,W1_406] :
( aSet0('#skF_28'(W0_402,W1_406))
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(W0_402,xT) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_430,plain,
! [W0_402,W1_406] :
( aSet0('#skF_28'(W0_402,W1_406))
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_428]) ).
tff(c_426,plain,
! [W0_402,W1_406] :
( aElementOf0('#skF_28'(W0_402,W1_406),slbdtsldtrb0(W1_406,xk))
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(W0_402,xT) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_429,plain,
! [W0_402,W1_406] :
( aElementOf0('#skF_28'(W0_402,W1_406),slbdtsldtrb0(W1_406,xk))
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_426]) ).
tff(c_2086,plain,
! [W0_564] :
( ( sdtlpdtrp0(xd,W0_564) = xu )
| ~ aElementOf0(W0_564,slbdtsldtrb0(xX,xk))
| ~ aSet0(W0_564) ),
inference(cnfTransformation,[status(thm)],[f_818]) ).
tff(c_2102,plain,
! [W0_402] :
( ( sdtlpdtrp0(xd,'#skF_28'(W0_402,xX)) = xu )
| ~ aSet0('#skF_28'(W0_402,xX))
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(resolution,[status(thm)],[c_429,c_2086]) ).
tff(c_2204,plain,
! [W0_573] :
( ( sdtlpdtrp0(xd,'#skF_28'(W0_573,xX)) = xu )
| ~ aSet0('#skF_28'(W0_573,xX))
| ~ aElementOf0(W0_573,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_418,c_2102]) ).
tff(c_2208,plain,
! [W0_402] :
( ( sdtlpdtrp0(xd,'#skF_28'(W0_402,xX)) = xu )
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(resolution,[status(thm)],[c_430,c_2204]) ).
tff(c_2308,plain,
! [W0_577] :
( ( sdtlpdtrp0(xd,'#skF_28'(W0_577,xX)) = xu )
| ~ aElementOf0(W0_577,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_418,c_2208]) ).
tff(c_402,plain,
sdtlpdtrp0(xC,xi) = xd,
inference(cnfTransformation,[status(thm)],[f_797]) ).
tff(c_424,plain,
! [W0_402,W1_406] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_28'(W0_402,W1_406)) != W0_402 )
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(W0_402,xT) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_431,plain,
! [W0_402,W1_406] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),'#skF_28'(W0_402,W1_406)) != W0_402 )
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_404,c_424]) ).
tff(c_432,plain,
! [W0_402,W1_406] :
( ( sdtlpdtrp0(xd,'#skF_28'(W0_402,W1_406)) != W0_402 )
| ~ isCountable0(W1_406)
| ~ aSubsetOf0(W1_406,xY)
| ~ aElementOf0(W0_402,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_431]) ).
tff(c_2314,plain,
! [W0_577] :
( ( xu != W0_577 )
| ~ isCountable0(xX)
| ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(W0_577,xT)
| ~ aElementOf0(W0_577,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_2308,c_432]) ).
tff(c_2322,plain,
~ aElementOf0(xu,xT),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_418,c_2314]) ).
tff(c_422,plain,
aElementOf0(xu,xT),
inference(cnfTransformation,[status(thm)],[f_818]) ).
tff(c_2324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2322,c_422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.42 % Problem : NUM592+1 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.43 % 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
% 0.15/0.63 % Computer : n032.cluster.edu
% 0.15/0.63 % Model : x86_64 x86_64
% 0.15/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.63 % Memory : 8042.1875MB
% 0.15/0.63 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.64 % CPULimit : 300
% 0.15/0.64 % WCLimit : 300
% 0.15/0.64 % DateTime : Tue Apr 8 13:54:46 EDT 2025
% 0.15/0.64 % CPUTime :
% 8.47/3.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.47/3.16
% 8.47/3.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------