%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS130+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 : n018.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 07:07:24 PM UTC 2025
% Result : Theorem 2.68s 1.62s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 39 ~; 48 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 17 ( 15 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rp > xsd_string > xsd_integer > cowlThing > cowlNothing > cNothing > #nlpp > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(cNothing,type,
cNothing: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(rp,type,
rp: ( $i * $i ) > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_53,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_47,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_34,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_73,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cNothing(X)
<=> cowlNothing(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_40,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(c_78,plain,
! [X_14] :
( rp(X_14,'#skF_1'(X_14))
| ~ cNothing(X_14) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_10,plain,
! [X_3,Y_5] :
( ~ rp(X_3,Y_5)
| ~ cNothing(X_3) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_82,plain,
! [X_14] : ~ cNothing(X_14),
inference(resolution,[status(thm)],[c_78,c_10]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cowlNothing('#skF_6')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_49,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4,c_44]) ).
tff(c_66,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49]) ).
tff(c_90,plain,
( ~ xsd_integer('#skF_4')
| xsd_string('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_82,c_66]) ).
tff(c_91,plain,
~ xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cowlNothing('#skF_6')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_59,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4,c_42]) ).
tff(c_68,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_4')
| xsd_string('#skF_5') ),
inference(negUnitSimplification,[status(thm)],[c_82,c_68]) ).
tff(c_85,plain,
~ xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_89,plain,
xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_8,c_85]) ).
tff(c_92,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91,c_89]) ).
tff(c_93,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_98,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_93,c_6]) ).
tff(c_94,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cowlNothing('#skF_6')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_45,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4,c_40]) ).
tff(c_62,plain,
( ~ xsd_integer('#skF_4')
| xsd_integer('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_100,plain,
( xsd_integer('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_62]) ).
tff(c_101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_98,c_100]) ).
tff(c_102,plain,
xsd_string('#skF_5'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_107,plain,
~ xsd_integer('#skF_5'),
inference(resolution,[status(thm)],[c_102,c_6]) ).
tff(c_103,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cowlNothing('#skF_6')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3')
| cowlNothing('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cNothing('#skF_7')
| ~ cowlThing('#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_4,c_38]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_4')
| xsd_integer('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48]) ).
tff(c_116,plain,
( xsd_integer('#skF_5')
| cNothing('#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_103,c_64]) ).
tff(c_117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_107,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : KRS130+1 : TPTP v9.0.0. Released v3.1.0.
% 0.05/0.08 % 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
% 0.08/0.27 % Computer : n018.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 8 02:59:47 EDT 2025
% 0.08/0.27 % CPUTime :
% 2.68/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.68/1.62
% 2.68/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------