%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS160+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n024.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 07:07:59 PM UTC 2025
% Result : Theorem 3.63s 1.81s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 241 ( 114 ~; 114 |; 9 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ra_Px4 > ra_Px2 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTEST > cC8xcomp > cC8 > cC6xcomp > cC6 > cC4 > cC2xcomp > cC2 > cC12 > cC10 > #nlpp > iV21081 > iV21080 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_11 > #skF_1 > #skF_8 > #skF_10 > #skF_9 > #skF_3 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cC8,type,
cC8: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(ra_Px2,type,
ra_Px2: ( $i * $i ) > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(cC2,type,
cC2: $i > $o ).
tff(iV21081,type,
iV21081: $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cC10,type,
cC10: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cTEST,type,
cTEST: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(cC12,type,
cC12: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(cC6,type,
cC6: $i > $o ).
tff(cC6xcomp,type,
cC6xcomp: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(cC8xcomp,type,
cC8xcomp: $i > $o ).
tff(rR1,type,
rR1: ( $i * $i ) > $o ).
tff(cC2xcomp,type,
cC2xcomp: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cC4,type,
cC4: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(iV21080,type,
iV21080: $i ).
tff(ra_Px4,type,
ra_Px4: ( $i * $i ) > $o ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_121,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
tff(f_135,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
tff(f_161,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_117,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
tff(f_115,axiom,
! [X] :
( cTEST(X)
<=> ( cC8xcomp(X)
& cC12(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
tff(f_133,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
tff(f_129,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
tff(f_46,axiom,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_68,plain,
cowlThing(iV21080),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_80,plain,
cowlThing(iV21081),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_84,plain,
( ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_94,plain,
( ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_84]) ).
tff(c_100,plain,
( ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_94]) ).
tff(c_107,plain,
( ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_100]) ).
tff(c_116,plain,
( ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_107]) ).
tff(c_122,plain,
~ cC12(iV21080),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_64,plain,
cTEST(iV21080),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_138,plain,
! [X_48] :
( cC12(X_48)
| ~ cTEST(X_48) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_141,plain,
cC12(iV21080),
inference(resolution,[status(thm)],[c_64,c_138]) ).
tff(c_145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_141]) ).
tff(c_147,plain,
cC12(iV21080),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_88,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_90,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_88]) ).
tff(c_102,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_90]) ).
tff(c_108,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_102]) ).
tff(c_118,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_108]) ).
tff(c_149,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081) ),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_118]) ).
tff(c_150,plain,
~ cC10(iV21081),
inference(splitLeft,[status(thm)],[c_149]) ).
tff(c_78,plain,
cC2(iV21081),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_74,plain,
cC4(iV21081),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_226,plain,
! [X_77] :
( cC10(X_77)
| ~ cC2(X_77)
| ~ cC4(X_77) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_235,plain,
( cC10(iV21081)
| ~ cC2(iV21081) ),
inference(resolution,[status(thm)],[c_74,c_226]) ).
tff(c_240,plain,
cC10(iV21081),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_235]) ).
tff(c_242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150,c_240]) ).
tff(c_244,plain,
cC10(iV21081),
inference(splitRight,[status(thm)],[c_149]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_86]) ).
tff(c_98,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_92]) ).
tff(c_106,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_98]) ).
tff(c_114,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_106]) ).
tff(c_246,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12')
| ~ cC10(iV21081) ),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_114]) ).
tff(c_247,plain,
~ cC10(iV21081),
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_244,c_247]) ).
tff(c_250,plain,
( ~ xsd_string('#skF_11')
| xsd_string('#skF_12') ),
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_265,plain,
~ xsd_string('#skF_11'),
inference(splitLeft,[status(thm)],[c_250]) ).
tff(c_269,plain,
xsd_integer('#skF_11'),
inference(resolution,[status(thm)],[c_8,c_265]) ).
tff(c_243,plain,
( ~ xsd_integer('#skF_11')
| xsd_string('#skF_12') ),
inference(splitRight,[status(thm)],[c_149]) ).
tff(c_273,plain,
xsd_string('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_269,c_243]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_277,plain,
~ xsd_integer('#skF_12'),
inference(resolution,[status(thm)],[c_273,c_6]) ).
tff(c_146,plain,
( ~ cC10(iV21081)
| ~ xsd_integer('#skF_11')
| xsd_integer('#skF_12') ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_295,plain,
xsd_integer('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_269,c_244,c_146]) ).
tff(c_296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_277,c_295]) ).
tff(c_297,plain,
xsd_string('#skF_12'),
inference(splitRight,[status(thm)],[c_250]) ).
tff(c_302,plain,
~ xsd_integer('#skF_12'),
inference(resolution,[status(thm)],[c_297,c_6]) ).
tff(c_298,plain,
xsd_string('#skF_11'),
inference(splitRight,[status(thm)],[c_250]) ).
tff(c_82,plain,
( ~ xsd_string('#skF_11')
| xsd_integer('#skF_12')
| ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_96,plain,
( ~ xsd_string('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_82]) ).
tff(c_104,plain,
( ~ xsd_string('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10')
| cowlNothing('#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_96]) ).
tff(c_105,plain,
( ~ xsd_string('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing('#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_104]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_11')
| xsd_integer('#skF_12')
| ~ cC10(iV21081)
| ~ cC12(iV21080) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_105]) ).
tff(c_318,plain,
xsd_integer('#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_244,c_298,c_112]) ).
tff(c_319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_302,c_318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS160+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % 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
% 0.13/0.34 % Computer : n024.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 03:00:51 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.63/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.63/1.82
% 3.63/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------