%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS139+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 : n004.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 07:07:26 PM UTC 2025
% Result : Theorem 2.92s 1.71s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 177 ( 83 ~; 85 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rpath > xsd_string > xsd_integer > cowlThing > cowlNothing > #nlpp > iGhent > iAntwerp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(iAntwerp,type,
iAntwerp: $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(iGhent,type,
iGhent: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(rpath,type,
rpath: ( $i * $i ) > $o ).
tff(f_49,axiom,
rpath(iGhent,iAntwerp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_44,axiom,
! [X,Y] :
( rpath(X,Y)
=> rpath(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_46,axiom,
cowlThing(iAntwerp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_48,axiom,
cowlThing(iGhent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_71,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iAntwerp)
& rpath(iAntwerp,iGhent)
& cowlThing(iGhent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
tff(c_16,plain,
rpath(iGhent,iAntwerp),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_63,plain,
! [Y_9,X_10] :
( rpath(Y_9,X_10)
| ~ rpath(X_10,Y_9) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_66,plain,
rpath(iAntwerp,iGhent),
inference(resolution,[status(thm)],[c_16,c_63]) ).
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_12,plain,
cowlThing(iAntwerp),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_14,plain,
cowlThing(iGhent),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_24,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_26,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_24]) ).
tff(c_34,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_26]) ).
tff(c_43,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_52,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43]) ).
tff(c_79,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_52]) ).
tff(c_80,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_79]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_18,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_18]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_30]) ).
tff(c_41,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41]) ).
tff(c_72,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_48]) ).
tff(c_73,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_77,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_73]) ).
tff(c_81,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_77]) ).
tff(c_82,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_79]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_87,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_82,c_6]) ).
tff(c_83,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_79]) ).
tff(c_20,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_20]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_28]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rpath(iAntwerp,iGhent) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44]) ).
tff(c_89,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_83,c_54]) ).
tff(c_90,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87,c_89]) ).
tff(c_91,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_92,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_22,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_32,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_40,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_32]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_50,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rpath(iAntwerp,iGhent) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42]) ).
tff(c_102,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_92,c_50]) ).
tff(c_105,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_102,c_6]) ).
tff(c_109,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS139+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % 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 : n004.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 02:59:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.92/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.92/1.72
% 2.92/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------