TSTP Solution File: KRS092+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS092+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/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 10:45:09 EDT 2023
% Result : Unsatisfiable 3.19s 1.75s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 4 unt; 15 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 14 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 (; 13 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > xsd_string > xsd_integer > cowlThing > cowlNothing > cf > ce3 > cd1 > cd > cc1 > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_20_04172 > #skF_2 > #skF_1
%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(cd1,type,
cd1: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cc1,type,
cc1: $i > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(ce3,type,
ce3: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(i2003_11_14_17_20_04172,type,
i2003_11_14_17_20_04172: $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(cf,type,
cf: $i > $o ).
tff(cd,type,
cd: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_56,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ! [Y] :
( rr(X,Y)
=> ( cd(Y)
& cc(Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_62,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_85,axiom,
cUnsatisfiable(i2003_11_14_17_20_04172),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(c_12,plain,
! [X_3] :
( rr(X_3,'#skF_2'(X_3))
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_66,plain,
! [Y_30,X_31] :
( cc(Y_30)
| ~ rr(X_31,Y_30)
| ~ cUnsatisfiable(X_31) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_71,plain,
! [X_32] :
( cc('#skF_2'(X_32))
| ~ cUnsatisfiable(X_32) ),
inference(resolution,[status(thm)],[c_12,c_66]) ).
tff(c_55,plain,
! [Y_26,X_27] :
( cd(Y_26)
| ~ rr(X_27,Y_26)
| ~ cUnsatisfiable(X_27) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_60,plain,
! [X_28] :
( cd('#skF_2'(X_28))
| ~ cUnsatisfiable(X_28) ),
inference(resolution,[status(thm)],[c_12,c_55]) ).
tff(c_22,plain,
! [X_10] :
( ~ cd(X_10)
| ~ cc(X_10) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_64,plain,
! [X_28] :
( ~ cc('#skF_2'(X_28))
| ~ cUnsatisfiable(X_28) ),
inference(resolution,[status(thm)],[c_60,c_22]) ).
tff(c_75,plain,
! [X_32] : ~ cUnsatisfiable(X_32),
inference(resolution,[status(thm)],[c_71,c_64]) ).
tff(c_32,plain,
cUnsatisfiable(i2003_11_14_17_20_04172),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_77,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : KRS092+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 20:09:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.19/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/1.75
% 3.19/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.26/1.77
% 3.26/1.77 Inference rules
% 3.26/1.77 ----------------------
% 3.26/1.77 #Ref : 0
% 3.26/1.77 #Sup : 6
% 3.26/1.77 #Fact : 0
% 3.26/1.77 #Define : 0
% 3.26/1.77 #Split : 0
% 3.26/1.77 #Chain : 0
% 3.26/1.77 #Close : 0
% 3.26/1.77
% 3.26/1.77 Ordering : KBO
% 3.26/1.77
% 3.26/1.77 Simplification rules
% 3.26/1.77 ----------------------
% 3.26/1.77 #Subsume : 9
% 3.26/1.77 #Demod : 2
% 3.26/1.77 #Tautology : 2
% 3.26/1.77 #SimpNegUnit : 1
% 3.26/1.77 #BackRed : 1
% 3.26/1.78
% 3.26/1.78 #Partial instantiations: 0
% 3.26/1.78 #Strategies tried : 1
% 3.26/1.78
% 3.26/1.78 Timing (in seconds)
% 3.26/1.78 ----------------------
% 3.26/1.78 Preprocessing : 0.46
% 3.26/1.78 Parsing : 0.26
% 3.26/1.78 CNF conversion : 0.03
% 3.26/1.78 Main loop : 0.21
% 3.26/1.78 Inferencing : 0.09
% 3.26/1.78 Reduction : 0.05
% 3.26/1.78 Demodulation : 0.03
% 3.26/1.78 BG Simplification : 0.02
% 3.26/1.78 Subsumption : 0.04
% 3.26/1.78 Abstraction : 0.01
% 3.26/1.78 MUC search : 0.00
% 3.26/1.78 Cooper : 0.00
% 3.26/1.78 Total : 0.71
% 3.26/1.78 Index Insertion : 0.00
% 3.26/1.78 Index Deletion : 0.00
% 3.26/1.78 Index Matching : 0.00
% 3.26/1.78 BG Taut test : 0.00
%------------------------------------------------------------------------------