TSTP Solution File: KRS134+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS134+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 : n026.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 10:45:15 EDT 2023
% Result : Theorem 3.02s 1.90s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 42 unt; 12 typ; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 164 ( 73 ~; 82 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 6 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 14 (; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rprop > xsd_string > xsd_integer > cowlThing > cowlNothing > cA > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cA,type,
cA: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rprop,type,
rprop: ( $i * $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('#skF_1',type,
'#skF_1': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $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_67,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cowlThing(X)
=> ! [Y] :
( rprop(X,Y)
=> cA(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
tff(f_44,axiom,
! [X,Y] :
( rprop(X,Y)
=> cA(Y) ),
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_18,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_18]) ).
tff(c_58,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40]) ).
tff(c_80,plain,
~ cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_26,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_41,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_60,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_41]) ).
tff(c_81,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_24,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_43,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_24]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_43]) ).
tff(c_82,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_85,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_82]) ).
tff(c_89,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81,c_85]) ).
tff(c_91,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_20,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_39,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_39]) ).
tff(c_114,plain,
( xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_56]) ).
tff(c_115,plain,
rprop('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_114]) ).
tff(c_10,plain,
! [Y_4,X_3] :
( cA(Y_4)
| ~ rprop(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_122,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_115,c_10]) ).
tff(c_126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_122]) ).
tff(c_128,plain,
~ rprop('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_90,plain,
( rprop('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_96,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_90]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_100,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_96,c_6]) ).
tff(c_102,plain,
( xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_56]) ).
tff(c_103,plain,
rprop('#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_100,c_102]) ).
tff(c_106,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_103,c_10]) ).
tff(c_110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_106]) ).
tff(c_111,plain,
rprop('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_90]) ).
tff(c_134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_111]) ).
tff(c_135,plain,
( rprop('#skF_5','#skF_6')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_143,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_135]) ).
tff(c_147,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_143,c_6]) ).
tff(c_136,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_22,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_45,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_22]) ).
tff(c_68,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_150,plain,
( xsd_integer('#skF_4')
| rprop('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_68]) ).
tff(c_151,plain,
rprop('#skF_5','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_147,c_150]) ).
tff(c_154,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_151,c_10]) ).
tff(c_158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_154]) ).
tff(c_159,plain,
rprop('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_135]) ).
tff(c_167,plain,
cA('#skF_6'),
inference(resolution,[status(thm)],[c_159,c_10]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_167]) ).
tff(c_173,plain,
cA('#skF_6'),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_16,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_37,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_37]) ).
tff(c_174,plain,
~ cA('#skF_6'),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_173,c_174]) ).
tff(c_177,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_180,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_177]) ).
tff(c_184,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_180]) ).
tff(c_172,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_186,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_172]) ).
tff(c_190,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_186,c_6]) ).
tff(c_14,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_42,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_14]) ).
tff(c_62,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_42]) ).
tff(c_192,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_184,c_62]) ).
tff(c_193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190,c_192]) ).
tff(c_194,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_177]) ).
tff(c_199,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_194,c_6]) ).
tff(c_195,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_177]) ).
tff(c_12,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_44,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_12]) ).
tff(c_66,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ cA('#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_44]) ).
tff(c_209,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_173,c_195,c_66]) ).
tff(c_210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199,c_209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.07 % 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
% 0.10/0.28 % Computer : n026.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Thu Aug 3 20:23:32 EDT 2023
% 0.13/0.29 % CPUTime :
% 3.02/1.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.02/1.91
% 3.02/1.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.17/1.95
% 3.17/1.95 Inference rules
% 3.17/1.95 ----------------------
% 3.17/1.95 #Ref : 0
% 3.17/1.95 #Sup : 17
% 3.17/1.95 #Fact : 0
% 3.17/1.95 #Define : 0
% 3.17/1.95 #Split : 9
% 3.17/1.95 #Chain : 0
% 3.17/1.95 #Close : 0
% 3.17/1.95
% 3.17/1.95 Ordering : KBO
% 3.17/1.95
% 3.17/1.95 Simplification rules
% 3.17/1.95 ----------------------
% 3.17/1.95 #Subsume : 7
% 3.17/1.95 #Demod : 30
% 3.17/1.95 #Tautology : 8
% 3.17/1.95 #SimpNegUnit : 24
% 3.17/1.95 #BackRed : 0
% 3.17/1.95
% 3.17/1.95 #Partial instantiations: 0
% 3.17/1.95 #Strategies tried : 1
% 3.17/1.95
% 3.17/1.95 Timing (in seconds)
% 3.17/1.95 ----------------------
% 3.17/1.95 Preprocessing : 0.50
% 3.17/1.95 Parsing : 0.24
% 3.17/1.95 CNF conversion : 0.05
% 3.17/1.95 Main loop : 0.37
% 3.17/1.95 Inferencing : 0.13
% 3.17/1.95 Reduction : 0.09
% 3.17/1.95 Demodulation : 0.05
% 3.17/1.95 BG Simplification : 0.03
% 3.17/1.95 Subsumption : 0.10
% 3.17/1.95 Abstraction : 0.02
% 3.17/1.95 MUC search : 0.00
% 3.17/1.95 Cooper : 0.00
% 3.17/1.95 Total : 0.94
% 3.17/1.95 Index Insertion : 0.00
% 3.17/1.95 Index Deletion : 0.00
% 3.17/1.95 Index Matching : 0.00
% 3.17/1.95 BG Taut test : 0.00
%------------------------------------------------------------------------------