%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM560+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 : n009.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 07:56:24 PM UTC 2025
% Result : Theorem 39.92s 24.35s
% Output : CNFRefutation 39.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 61 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 26 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 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 : 34 ( 34 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlbdtrb0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > slbdtrb0 > sbrdtbr0 > xy > xF > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_5 > #skF_10 > #skF_8 > #skF_15 > #skF_13 > #skF_14 > #skF_3 > #skF_2 > #skF_9 > #skF_16
%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('#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(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(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xy,type,
xy: $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(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
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('#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_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(xF,type,
xF: $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_585,hypothesis,
( aFunction0(xF)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2693) ).
tff(f_582,definition,
! [W0,W1] :
( ( aFunction0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtlbdtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElementOf0(W3,szDzozmdt0(W0))
& ( sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
tff(f_559,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
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_587,negated_conjecture,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_288,plain,
aFunction0(xF),
inference(cnfTransformation,[status(thm)],[f_585]) ).
tff(c_286,plain,
aElement0(xy),
inference(cnfTransformation,[status(thm)],[f_585]) ).
tff(c_268,plain,
! [W0_188,W1_189] :
( aSet0(sdtlbdtrb0(W0_188,W1_189))
| ~ aElement0(W1_189)
| ~ aFunction0(W0_188) ),
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_262,plain,
! [W0_184] :
( aSet0(szDzozmdt0(W0_184))
| ~ aFunction0(W0_184) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_30,plain,
! [W0_14,W1_20] :
( aElementOf0('#skF_2'(W0_14,W1_20),W1_20)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_12098,plain,
! [W3_710,W0_711,W1_712] :
( aElementOf0(W3_710,szDzozmdt0(W0_711))
| ~ aElementOf0(W3_710,sdtlbdtrb0(W0_711,W1_712))
| ~ aElement0(W1_712)
| ~ aFunction0(W0_711) ),
inference(cnfTransformation,[status(thm)],[f_582]) ).
tff(c_108167,plain,
! [W0_1893,W0_1894,W1_1895] :
( aElementOf0('#skF_2'(W0_1893,sdtlbdtrb0(W0_1894,W1_1895)),szDzozmdt0(W0_1894))
| ~ aElement0(W1_1895)
| ~ aFunction0(W0_1894)
| aSubsetOf0(sdtlbdtrb0(W0_1894,W1_1895),W0_1893)
| ~ aSet0(sdtlbdtrb0(W0_1894,W1_1895))
| ~ aSet0(W0_1893) ),
inference(resolution,[status(thm)],[c_30,c_12098]) ).
tff(c_28,plain,
! [W0_14,W1_20] :
( ~ aElementOf0('#skF_2'(W0_14,W1_20),W0_14)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_120776,plain,
! [W1_1978,W0_1979] :
( ~ aElement0(W1_1978)
| ~ aFunction0(W0_1979)
| aSubsetOf0(sdtlbdtrb0(W0_1979,W1_1978),szDzozmdt0(W0_1979))
| ~ aSet0(sdtlbdtrb0(W0_1979,W1_1978))
| ~ aSet0(szDzozmdt0(W0_1979)) ),
inference(resolution,[status(thm)],[c_108167,c_28]) ).
tff(c_290,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(cnfTransformation,[status(thm)],[f_587]) ).
tff(c_120827,plain,
( ~ aElement0(xy)
| ~ aFunction0(xF)
| ~ aSet0(sdtlbdtrb0(xF,xy))
| ~ aSet0(szDzozmdt0(xF)) ),
inference(resolution,[status(thm)],[c_120776,c_290]) ).
tff(c_120852,plain,
( ~ aSet0(sdtlbdtrb0(xF,xy))
| ~ aSet0(szDzozmdt0(xF)) ),
inference(demodulation,[status(thm),theory(equality)],[c_288,c_286,c_120827]) ).
tff(c_120853,plain,
~ aSet0(szDzozmdt0(xF)),
inference(splitLeft,[status(thm)],[c_120852]) ).
tff(c_120856,plain,
~ aFunction0(xF),
inference(resolution,[status(thm)],[c_262,c_120853]) ).
tff(c_120860,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_288,c_120856]) ).
tff(c_120861,plain,
~ aSet0(sdtlbdtrb0(xF,xy)),
inference(splitRight,[status(thm)],[c_120852]) ).
tff(c_120881,plain,
( ~ aElement0(xy)
| ~ aFunction0(xF) ),
inference(resolution,[status(thm)],[c_268,c_120861]) ).
tff(c_120885,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_288,c_286,c_120881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.26 % Problem : NUM560+1 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.27 % 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
% 0.15/0.49 % Computer : n009.cluster.edu
% 0.15/0.49 % Model : x86_64 x86_64
% 0.15/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.49 % Memory : 8042.1875MB
% 0.15/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.50 % CPULimit : 300
% 0.15/0.50 % WCLimit : 300
% 0.15/0.50 % DateTime : Tue Apr 8 13:34:56 EDT 2025
% 0.15/0.50 % CPUTime :
% 39.92/24.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.92/24.36
% 39.92/24.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------