%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM466+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 : n023.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 07:56:01 PM UTC 2025
% Result : Theorem 12.63s 4.19s
% Output : CNFRefutation 12.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 17 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 52 ( 19 ~; 17 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 18 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xn > xm > xl > sz10 > sz00 > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xl,type,
xl: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(sdtsldt0,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_349,negated_conjecture,
~ ( ( ? [W0] :
( aNaturalNumber0(W0)
& ( xm = sdtasdt0(xl,W0) ) )
& doDivides0(xl,xm)
& ? [W0] :
( aNaturalNumber0(W0)
& ( xn = sdtasdt0(xm,W0) ) )
& doDivides0(xm,xn) )
=> ( ? [W0] :
( aNaturalNumber0(W0)
& ( xn = sdtasdt0(xl,W0) ) )
| doDivides0(xl,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_73,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_328,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1218) ).
tff(f_81,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
tff(c_133,plain,
aNaturalNumber0('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_127,plain,
aNaturalNumber0('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_887,plain,
! [W1_90,W0_91] :
( ( sdtasdt0(W1_90,W0_91) = sdtasdt0(W0_91,W1_90) )
| ~ aNaturalNumber0(W1_90)
| ~ aNaturalNumber0(W0_91) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_959,plain,
! [W0_93] :
( ( sdtasdt0(W0_93,'#skF_3') = sdtasdt0('#skF_3',W0_93) )
| ~ aNaturalNumber0(W0_93) ),
inference(resolution,[status(thm)],[c_133,c_887]) ).
tff(c_997,plain,
sdtasdt0('#skF_3','#skF_4') = sdtasdt0('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_127,c_959]) ).
tff(c_12,plain,
! [W0_4,W1_5] :
( aNaturalNumber0(sdtasdt0(W0_4,W1_5))
| ~ aNaturalNumber0(W1_5)
| ~ aNaturalNumber0(W0_4) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_1048,plain,
( aNaturalNumber0(sdtasdt0('#skF_4','#skF_3'))
| ~ aNaturalNumber0('#skF_4')
| ~ aNaturalNumber0('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_997,c_12]) ).
tff(c_1054,plain,
aNaturalNumber0(sdtasdt0('#skF_4','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_133,c_127,c_1048]) ).
tff(c_121,plain,
! [W0_74] :
( ( sdtasdt0(xl,W0_74) != xn )
| ~ aNaturalNumber0(W0_74) ),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_1095,plain,
sdtasdt0(xl,sdtasdt0('#skF_4','#skF_3')) != xn,
inference(resolution,[status(thm)],[c_1054,c_121]) ).
tff(c_125,plain,
sdtasdt0(xm,'#skF_4') = xn,
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_117,plain,
aNaturalNumber0(xl),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_131,plain,
sdtasdt0(xl,'#skF_3') = xm,
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_7731,plain,
! [W0_188,W1_189,W2_190] :
( ( sdtasdt0(sdtasdt0(W0_188,W1_189),W2_190) = sdtasdt0(W0_188,sdtasdt0(W1_189,W2_190)) )
| ~ aNaturalNumber0(W2_190)
| ~ aNaturalNumber0(W1_189)
| ~ aNaturalNumber0(W0_188) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_7944,plain,
! [W2_190] :
( ( sdtasdt0(xl,sdtasdt0('#skF_3',W2_190)) = sdtasdt0(xm,W2_190) )
| ~ aNaturalNumber0(W2_190)
| ~ aNaturalNumber0('#skF_3')
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_131,c_7731]) ).
tff(c_12245,plain,
! [W2_215] :
( ( sdtasdt0(xl,sdtasdt0('#skF_3',W2_215)) = sdtasdt0(xm,W2_215) )
| ~ aNaturalNumber0(W2_215) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_133,c_7944]) ).
tff(c_12308,plain,
( ( sdtasdt0(xl,sdtasdt0('#skF_4','#skF_3')) = sdtasdt0(xm,'#skF_4') )
| ~ aNaturalNumber0('#skF_4') ),
inference(superposition,[status(thm),theory(equality)],[c_997,c_12245]) ).
tff(c_12363,plain,
sdtasdt0(xl,sdtasdt0('#skF_4','#skF_3')) = xn,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_125,c_12308]) ).
tff(c_12365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1095,c_12363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.27 % Problem : NUM466+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.28 % 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
% 0.13/0.50 % Computer : n023.cluster.edu
% 0.13/0.50 % Model : x86_64 x86_64
% 0.13/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.50 % Memory : 8042.1875MB
% 0.13/0.50 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.50 % CPULimit : 300
% 0.13/0.50 % WCLimit : 300
% 0.13/0.50 % DateTime : Tue Apr 8 12:44:10 EDT 2025
% 0.13/0.50 % CPUTime :
% 12.63/4.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.63/4.20
% 12.63/4.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------