%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM434+3 : 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 : n011.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 07:55:54 PM UTC 2025
% Result : Theorem 4.49s 2.46s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 2 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aDivisorOf0 > aInteger0 > sdtpldt0 > sdtasdt0 > #nlpp > smndt0 > xq > xp > xb > xa > sz10 > sz00 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(xq,type,
xq: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(xa,type,
xa: $i ).
tff(sz10,type,
sz10: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(xb,type,
xb: $i ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(xp,type,
xp: $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_216,hypothesis,
( ( sdtasdt0(xp,xq) != sz00 )
& ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ) )
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).
tff(f_221,negated_conjecture,
~ ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_86,plain,
aInteger0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_84,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_90,plain,
! [W0_49] :
( ( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(sdtasdt0(xp,xq),W0_49) )
| ~ aInteger0(W0_49) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_91,plain,
! [W0_49] :
( ( sdtasdt0(sdtasdt0(xp,xq),W0_49) != sdtasdt0(sdtasdt0(xp,xq),'#skF_2') )
| ~ aInteger0(W0_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_84,c_90]) ).
tff(c_95,plain,
~ aInteger0('#skF_2'),
inference(reflexivity,[status(thm),theory(equality)],[c_91]) ).
tff(c_98,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_86,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM434+3 : TPTP v9.0.0. Released v4.0.0.
% 0.09/0.10 % 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
% 0.09/0.32 % Computer : n011.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 8 12:22:33 EDT 2025
% 0.09/0.32 % CPUTime :
% 4.49/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.49/2.47
% 4.49/2.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------