%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM480+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/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 : 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 : Wed Apr 9 07:56:04 PM UTC 2025
% Result : Theorem 18.42s 6.32s
% Output : CNFRefutation 18.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 14 ~; 12 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xn > xm > xl > sz10 > sz00 > #skF_3 > #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_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_373,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
tff(f_383,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
tff(f_73,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_400,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& ( xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ) )
=> ( ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) )
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
tff(c_121,plain,
aNaturalNumber0(xm),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_133,plain,
aNaturalNumber0(xn),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_1722,plain,
! [W1_108,W0_109] :
( ( sdtasdt0(W1_108,W0_109) = sdtasdt0(W0_109,W1_108) )
| ~ aNaturalNumber0(W1_108)
| ~ aNaturalNumber0(W0_109) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2092,plain,
! [W0_114] :
( ( sdtasdt0(xn,W0_114) = sdtasdt0(W0_114,xn) )
| ~ aNaturalNumber0(W0_114) ),
inference(resolution,[status(thm)],[c_133,c_1722]) ).
tff(c_2175,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[status(thm)],[c_121,c_2092]) ).
tff(c_147,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_2192,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_2175,c_147]) ).
tff(c_151,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_2174,plain,
sdtasdt0(sdtsldt0(xm,xl),xn) = sdtasdt0(xn,sdtsldt0(xm,xl)),
inference(resolution,[status(thm)],[c_151,c_2092]) ).
tff(c_123,plain,
aNaturalNumber0(xl),
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_149,plain,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_32917,plain,
! [W0_464,W1_465,W2_466] :
( ( sdtasdt0(sdtasdt0(W0_464,W1_465),W2_466) = sdtasdt0(W0_464,sdtasdt0(W1_465,W2_466)) )
| ~ aNaturalNumber0(W2_466)
| ~ aNaturalNumber0(W1_465)
| ~ aNaturalNumber0(W0_464) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_33163,plain,
! [W2_466] :
( ( sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),W2_466)) = sdtasdt0(xm,W2_466) )
| ~ aNaturalNumber0(W2_466)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm),theory(equality)],[c_149,c_32917]) ).
tff(c_33318,plain,
! [W2_467] :
( ( sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),W2_467)) = sdtasdt0(xm,W2_467) )
| ~ aNaturalNumber0(W2_467) ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_151,c_33163]) ).
tff(c_33349,plain,
( ( sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm),theory(equality)],[c_2174,c_33318]) ).
tff(c_33378,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_133,c_33349]) ).
tff(c_33380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2192,c_33378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM480+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 12:50:27 EDT 2025
% 0.13/0.34 % CPUTime :
% 18.42/6.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.42/6.33
% 18.42/6.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------