%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM544+2 : 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/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 : n006.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 07:56:19 PM UTC 2025
% Result : Theorem 8.19s 2.88s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 1 def)
% Number of atoms : 66 ( 7 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 69 ( 26 ~; 21 |; 10 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 17 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xS > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_14 > #skF_13 > #skF_5 > #skF_10 > #skF_8 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $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(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $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_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_498,negated_conjecture,
~ ( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
| ( xS = slcrc0 ) )
=> ( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,szmzazxdt0(xS)) ) )
=> ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_468,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
tff(f_405,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& isFinite0(W0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzazxdt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
tff(f_265,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
tff(c_242,plain,
xS != slcrc0,
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_222,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_468]) ).
tff(c_220,plain,
isFinite0(xS),
inference(cnfTransformation,[status(thm)],[f_468]) ).
tff(c_232,plain,
aElementOf0('#skF_14',xS),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_176,plain,
! [W2_130,W0_121] :
( sdtlseqdt0(W2_130,szmzazxdt0(W0_121))
| ~ aElementOf0(W2_130,W0_121)
| ( slcrc0 = W0_121 )
| ~ isFinite0(W0_121)
| ~ aSubsetOf0(W0_121,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_274,plain,
! [W0_155] :
( aElementOf0(W0_155,szNzAzT0)
| ~ aElementOf0(W0_155,xS) ),
inference(cnfTransformation,[status(thm)],[f_468]) ).
tff(c_286,plain,
aElementOf0('#skF_14',szNzAzT0),
inference(resolution,[status(thm)],[c_232,c_274]) ).
tff(c_240,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_284,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(resolution,[status(thm)],[c_240,c_274]) ).
tff(c_3335,plain,
! [W0_348,W1_349] :
( sdtlseqdt0(szszuzczcdt0(W0_348),szszuzczcdt0(W1_349))
| ~ sdtlseqdt0(W0_348,W1_349)
| ~ aElementOf0(W1_349,szNzAzT0)
| ~ aElementOf0(W0_348,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_234,plain,
! [W0_150] :
( aElementOf0(W0_150,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sdtlseqdt0(szszuzczcdt0(W0_150),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(W0_150,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_3339,plain,
! [W0_348] :
( aElementOf0(W0_348,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sdtlseqdt0(W0_348,szmzazxdt0(xS))
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ aElementOf0(W0_348,szNzAzT0) ),
inference(resolution,[status(thm)],[c_3335,c_234]) ).
tff(c_3512,plain,
! [W0_353] :
( aElementOf0(W0_353,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sdtlseqdt0(W0_353,szmzazxdt0(xS))
| ~ aElementOf0(W0_353,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_284,c_3339]) ).
tff(c_230,plain,
~ aElementOf0('#skF_14',slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_3533,plain,
( ~ sdtlseqdt0('#skF_14',szmzazxdt0(xS))
| ~ aElementOf0('#skF_14',szNzAzT0) ),
inference(resolution,[status(thm)],[c_3512,c_230]) ).
tff(c_3548,plain,
~ sdtlseqdt0('#skF_14',szmzazxdt0(xS)),
inference(demodulation,[status(thm),theory(equality)],[c_286,c_3533]) ).
tff(c_3551,plain,
( ~ aElementOf0('#skF_14',xS)
| ( xS = slcrc0 )
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_176,c_3548]) ).
tff(c_3557,plain,
xS = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_222,c_220,c_232,c_3551]) ).
tff(c_3559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_3557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM544+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 13:27:09 EDT 2025
% 0.12/0.34 % CPUTime :
% 8.19/2.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.55/2.88
% 8.55/2.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------