TSTP Solution File: KRS105+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS105+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 : n008.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 10:45:11 EDT 2023
% Result : Unsatisfiable 3.08s 1.72s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 40 ( 4 unt; 15 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 16 |; 0 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 14 >; 2 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 28 (; 26 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cdxcomp > cd > cc > ca_Ax2 > cUnsatisfiable > #nlpp > i2003_11_14_17_20_53634 > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cdxcomp,type,
cdxcomp: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ca_Ax2,type,
ca_Ax2: $i > $o ).
tff(i2003_11_14_17_20_53634,type,
i2003_11_14_17_20_53634: $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cd,type,
cd: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_49,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_78,axiom,
! [X] :
( ca_Ax2(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_57,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_83,axiom,
! [X] :
( ca_Ax2(X)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_44,axiom,
! [X] :
( cUnsatisfiable(X)
=> cdxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_70,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_64,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_85,axiom,
cUnsatisfiable(i2003_11_14_17_20_53634),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(c_12,plain,
! [X_4] :
( cc(X_4)
| ~ cUnsatisfiable(X_4) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_28,plain,
! [X_16] :
( rr(X_16,'#skF_3'(X_16))
| ca_Ax2(X_16) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_92,plain,
! [Y_43,X_44] :
( cc(Y_43)
| ~ rr(X_44,Y_43)
| ~ cc(X_44) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_97,plain,
! [X_45] :
( cc('#skF_3'(X_45))
| ~ cc(X_45)
| ca_Ax2(X_45) ),
inference(resolution,[status(thm)],[c_28,c_92]) ).
tff(c_26,plain,
! [X_16] :
( ~ cc('#skF_3'(X_16))
| ca_Ax2(X_16) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_102,plain,
! [X_46] :
( ~ cc(X_46)
| ca_Ax2(X_46) ),
inference(resolution,[status(thm)],[c_97,c_26]) ).
tff(c_107,plain,
! [X_47] :
( ca_Ax2(X_47)
| ~ cUnsatisfiable(X_47) ),
inference(resolution,[status(thm)],[c_12,c_102]) ).
tff(c_30,plain,
! [X_20] :
( cd(X_20)
| ~ ca_Ax2(X_20) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_10,plain,
! [X_3] :
( cdxcomp(X_3)
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_62,plain,
! [X_36] :
( ra_Px1(X_36,'#skF_2'(X_36))
| ~ cdxcomp(X_36) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_16,plain,
! [X_8,Y_11] :
( ~ ra_Px1(X_8,Y_11)
| ~ cd(X_8) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_72,plain,
! [X_38] :
( ~ cd(X_38)
| ~ cdxcomp(X_38) ),
inference(resolution,[status(thm)],[c_62,c_16]) ).
tff(c_81,plain,
! [X_39] :
( ~ cd(X_39)
| ~ cUnsatisfiable(X_39) ),
inference(resolution,[status(thm)],[c_10,c_72]) ).
tff(c_85,plain,
! [X_20] :
( ~ cUnsatisfiable(X_20)
| ~ ca_Ax2(X_20) ),
inference(resolution,[status(thm)],[c_30,c_81]) ).
tff(c_111,plain,
! [X_47] : ~ cUnsatisfiable(X_47),
inference(resolution,[status(thm)],[c_107,c_85]) ).
tff(c_32,plain,
cUnsatisfiable(i2003_11_14_17_20_53634),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % 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
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 20:11:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.08/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.08/1.72
% 3.08/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.08/1.75
% 3.08/1.75 Inference rules
% 3.08/1.75 ----------------------
% 3.08/1.75 #Ref : 0
% 3.08/1.75 #Sup : 14
% 3.08/1.75 #Fact : 0
% 3.08/1.75 #Define : 0
% 3.08/1.75 #Split : 0
% 3.08/1.75 #Chain : 0
% 3.08/1.75 #Close : 0
% 3.08/1.75
% 3.08/1.75 Ordering : KBO
% 3.08/1.75
% 3.08/1.75 Simplification rules
% 3.08/1.75 ----------------------
% 3.08/1.75 #Subsume : 7
% 3.08/1.75 #Demod : 0
% 3.08/1.75 #Tautology : 5
% 3.08/1.75 #SimpNegUnit : 1
% 3.08/1.75 #BackRed : 1
% 3.08/1.75
% 3.08/1.75 #Partial instantiations: 0
% 3.08/1.75 #Strategies tried : 1
% 3.08/1.75
% 3.08/1.75 Timing (in seconds)
% 3.08/1.75 ----------------------
% 3.08/1.75 Preprocessing : 0.45
% 3.08/1.75 Parsing : 0.25
% 3.08/1.75 CNF conversion : 0.03
% 3.08/1.75 Main loop : 0.22
% 3.08/1.75 Inferencing : 0.11
% 3.08/1.75 Reduction : 0.05
% 3.08/1.75 Demodulation : 0.03
% 3.08/1.75 BG Simplification : 0.02
% 3.08/1.75 Subsumption : 0.04
% 3.08/1.75 Abstraction : 0.01
% 3.08/1.75 MUC search : 0.00
% 3.08/1.75 Cooper : 0.00
% 3.08/1.75 Total : 0.72
% 3.08/1.75 Index Insertion : 0.00
% 3.08/1.75 Index Deletion : 0.00
% 3.08/1.75 Index Matching : 0.00
% 3.08/1.75 BG Taut test : 0.00
%------------------------------------------------------------------------------