TSTP Solution File: KRS137+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS137+1 : TPTP v8.1.2. 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 : n016.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 : Tue Aug 22 10:45:16 EDT 2023
% Result : Theorem 3.02s 1.78s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 68 ( 26 unt; 12 typ; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 223 ( 106 ~; 107 |; 7 &)
% ( 3 <=>; 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 : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 11 (; 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ xsd_string > xsd_integer > cowlThing > cowlNothing > cCar > cAutomobile > #nlpp > icar > iauto > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(icar,type,
icar: $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(iauto,type,
iauto: $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(cCar,type,
cCar: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cAutomobile,type,
cAutomobile: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_49,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_45,axiom,
! [X] :
( cCar(X)
<=> cAutomobile(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_53,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_34,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_47,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_51,axiom,
cowlThing(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_79,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& cAutomobile(icar) ),
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_16,plain,
cAutomobile(iauto),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_12,plain,
! [X_3] :
( cCar(X_3)
| ~ cAutomobile(X_3) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_20,plain,
cCar(icar),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_68,plain,
! [X_9] :
( cAutomobile(X_9)
| ~ cCar(X_9) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_76,plain,
cAutomobile(icar),
inference(resolution,[status(thm)],[c_20,c_68]) ).
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_14,plain,
cowlThing(iauto),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_18,plain,
cowlThing(icar),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_22,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_22]) ).
tff(c_40,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_34]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_58,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48]) ).
tff(c_78,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cCar(iauto) ),
inference(demodulation,[status(thm),theory(equality)],[c_76,c_58]) ).
tff(c_79,plain,
~ cCar(iauto),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_82,plain,
~ cAutomobile(iauto),
inference(resolution,[status(thm)],[c_12,c_79]) ).
tff(c_86,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_82]) ).
tff(c_88,plain,
cCar(iauto),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_87,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_94,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_87]) ).
tff(c_98,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_94]) ).
tff(c_24,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_24]) ).
tff(c_38,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_32]) ).
tff(c_47,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_56,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47]) ).
tff(c_100,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_76,c_98,c_56]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_30,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_28]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_30]) ).
tff(c_46,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44]) ).
tff(c_54,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46]) ).
tff(c_102,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_76,c_98,c_54]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
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_100,c_105]) ).
tff(c_110,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_87]) ).
tff(c_111,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_87]) ).
tff(c_26,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_36,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_26]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_36]) ).
tff(c_45,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto)
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cAutomobile(icar)
| ~ cCar(iauto) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_121,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_88,c_76,c_111,c_52]) ).
tff(c_124,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_121,c_6]) ).
tff(c_128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS137+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 20:38:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.02/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.02/1.78
% 3.02/1.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.23/1.82
% 3.23/1.82 Inference rules
% 3.23/1.82 ----------------------
% 3.23/1.82 #Ref : 0
% 3.23/1.82 #Sup : 9
% 3.23/1.82 #Fact : 0
% 3.23/1.82 #Define : 0
% 3.23/1.82 #Split : 2
% 3.23/1.82 #Chain : 0
% 3.23/1.82 #Close : 0
% 3.23/1.82
% 3.23/1.82 Ordering : KBO
% 3.23/1.82
% 3.23/1.82 Simplification rules
% 3.23/1.82 ----------------------
% 3.23/1.82 #Subsume : 1
% 3.23/1.82 #Demod : 33
% 3.23/1.82 #Tautology : 6
% 3.23/1.82 #SimpNegUnit : 4
% 3.23/1.82 #BackRed : 0
% 3.23/1.82
% 3.23/1.82 #Partial instantiations: 0
% 3.23/1.82 #Strategies tried : 1
% 3.23/1.82
% 3.23/1.82 Timing (in seconds)
% 3.23/1.82 ----------------------
% 3.23/1.82 Preprocessing : 0.45
% 3.23/1.82 Parsing : 0.25
% 3.23/1.82 CNF conversion : 0.03
% 3.23/1.82 Main loop : 0.24
% 3.23/1.82 Inferencing : 0.08
% 3.23/1.82 Reduction : 0.06
% 3.23/1.82 Demodulation : 0.04
% 3.23/1.82 BG Simplification : 0.02
% 3.23/1.82 Subsumption : 0.06
% 3.23/1.82 Abstraction : 0.01
% 3.23/1.82 MUC search : 0.00
% 3.23/1.82 Cooper : 0.00
% 3.23/1.82 Total : 0.74
% 3.23/1.82 Index Insertion : 0.00
% 3.23/1.82 Index Deletion : 0.00
% 3.23/1.82 Index Matching : 0.00
% 3.23/1.82 BG Taut test : 0.00
%------------------------------------------------------------------------------