TSTP Solution File: KRS101+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS101+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 : n027.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 10:45:10 EDT 2023
% Result : Unsatisfiable 3.31s 1.73s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 37 ( 5 unt; 17 typ; 0 def)
% Number of atoms : 58 ( 10 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 68 ( 30 ~; 27 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 16 >; 2 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 29 (; 26 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rr > xsd_string > xsd_integer > cowlThing > cowlNothing > cd > cc > cUnsatisfiable > #nlpp > i2003_11_14_17_20_36582 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_3 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(rr,type,
rr: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $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(i2003_11_14_17_20_36582,type,
i2003_11_14_17_20_36582: $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_148,axiom,
cUnsatisfiable(i2003_11_14_17_20_36582),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_140,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ( ~ ? [Z0,Z1] :
( rs(Y,Z0)
& rs(Y,Z1)
& ( Z0 != Z1 ) )
| cc(Y) ) )
& ? [Y] :
( rr(X,Y)
& ~ ! [Z0,Z1] :
( ( rs(Y,Z0)
& rs(Y,Z1) )
=> ( Z0 = Z1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_146,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(c_66,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_76,plain,
! [X_73] :
( ( '#skF_7'(X_73) != '#skF_6'(X_73) )
| ~ cUnsatisfiable(X_73) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_80,plain,
'#skF_7'(i2003_11_14_17_20_36582) != '#skF_6'(i2003_11_14_17_20_36582),
inference(resolution,[status(thm)],[c_66,c_76]) ).
tff(c_38,plain,
! [X_29] :
( rr(X_29,'#skF_5'(X_29))
| ~ cUnsatisfiable(X_29) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_34,plain,
! [X_29] :
( rs('#skF_5'(X_29),'#skF_7'(X_29))
| ~ cUnsatisfiable(X_29) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_36,plain,
! [X_29] :
( rs('#skF_5'(X_29),'#skF_6'(X_29))
| ~ cUnsatisfiable(X_29) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_95,plain,
! [Y_81,Z1_82,Z0_83,X_84] :
( cc(Y_81)
| ( Z1_82 = Z0_83 )
| ~ rs(Y_81,Z1_82)
| ~ rs(Y_81,Z0_83)
| ~ rr(X_84,Y_81)
| ~ cUnsatisfiable(X_84) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_103,plain,
! [X_89,Z0_90,X_91] :
( cc('#skF_5'(X_89))
| ( Z0_90 = '#skF_6'(X_89) )
| ~ rs('#skF_5'(X_89),Z0_90)
| ~ rr(X_91,'#skF_5'(X_89))
| ~ cUnsatisfiable(X_91)
| ~ cUnsatisfiable(X_89) ),
inference(resolution,[status(thm)],[c_36,c_95]) ).
tff(c_111,plain,
! [X_92,X_93] :
( cc('#skF_5'(X_92))
| ( '#skF_7'(X_92) = '#skF_6'(X_92) )
| ~ rr(X_93,'#skF_5'(X_92))
| ~ cUnsatisfiable(X_93)
| ~ cUnsatisfiable(X_92) ),
inference(resolution,[status(thm)],[c_34,c_103]) ).
tff(c_116,plain,
! [X_94] :
( cc('#skF_5'(X_94))
| ( '#skF_7'(X_94) = '#skF_6'(X_94) )
| ~ cUnsatisfiable(X_94) ),
inference(resolution,[status(thm)],[c_38,c_111]) ).
tff(c_82,plain,
! [Y_75,X_76] :
( cd(Y_75)
| ~ rr(X_76,Y_75)
| ~ cUnsatisfiable(X_76) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_87,plain,
! [X_77] :
( cd('#skF_5'(X_77))
| ~ cUnsatisfiable(X_77) ),
inference(resolution,[status(thm)],[c_38,c_82]) ).
tff(c_64,plain,
! [X_67] :
( ~ cd(X_67)
| ~ cc(X_67) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_91,plain,
! [X_77] :
( ~ cc('#skF_5'(X_77))
| ~ cUnsatisfiable(X_77) ),
inference(resolution,[status(thm)],[c_87,c_64]) ).
tff(c_128,plain,
! [X_99] :
( ( '#skF_7'(X_99) = '#skF_6'(X_99) )
| ~ cUnsatisfiable(X_99) ),
inference(resolution,[status(thm)],[c_116,c_91]) ).
tff(c_131,plain,
'#skF_7'(i2003_11_14_17_20_36582) = '#skF_6'(i2003_11_14_17_20_36582),
inference(resolution,[status(thm)],[c_66,c_128]) ).
tff(c_135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS101+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
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 20:34:09 EDT 2023
% 0.12/0.35 % CPUTime :
% 3.31/1.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.39/1.74
% 3.39/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.39/1.76
% 3.39/1.76 Inference rules
% 3.39/1.76 ----------------------
% 3.39/1.76 #Ref : 0
% 3.39/1.76 #Sup : 13
% 3.39/1.76 #Fact : 0
% 3.39/1.76 #Define : 0
% 3.39/1.76 #Split : 0
% 3.39/1.76 #Chain : 0
% 3.39/1.76 #Close : 0
% 3.39/1.76
% 3.39/1.76 Ordering : KBO
% 3.39/1.76
% 3.39/1.76 Simplification rules
% 3.39/1.76 ----------------------
% 3.39/1.76 #Subsume : 2
% 3.39/1.76 #Demod : 0
% 3.39/1.76 #Tautology : 13
% 3.39/1.76 #SimpNegUnit : 1
% 3.39/1.76 #BackRed : 0
% 3.39/1.76
% 3.39/1.76 #Partial instantiations: 0
% 3.39/1.76 #Strategies tried : 1
% 3.39/1.76
% 3.39/1.76 Timing (in seconds)
% 3.39/1.76 ----------------------
% 3.39/1.77 Preprocessing : 0.51
% 3.39/1.77 Parsing : 0.25
% 3.39/1.77 CNF conversion : 0.04
% 3.39/1.77 Main loop : 0.22
% 3.39/1.77 Inferencing : 0.08
% 3.39/1.77 Reduction : 0.05
% 3.39/1.77 Demodulation : 0.04
% 3.39/1.77 BG Simplification : 0.03
% 3.39/1.77 Subsumption : 0.05
% 3.39/1.77 Abstraction : 0.01
% 3.39/1.77 MUC search : 0.00
% 3.39/1.77 Cooper : 0.00
% 3.39/1.77 Total : 0.77
% 3.39/1.77 Index Insertion : 0.00
% 3.39/1.77 Index Deletion : 0.00
% 3.39/1.77 Index Matching : 0.00
% 3.39/1.77 BG Taut test : 0.00
%------------------------------------------------------------------------------