TSTP Solution File: KRS117+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS117+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 : n010.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 10:45:12 EDT 2023
% Result : Unsatisfiable 4.08s 1.97s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 69 ( 5 unt; 21 typ; 0 def)
% Number of atoms : 111 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 117 ( 54 ~; 44 |; 8 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 20 >; 5 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 69 (; 64 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rr > rinvR > rinvF > rf > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cd > ccxcomp > cc > ca_Vx3 > cUnsatisfiable > #nlpp > i2003_11_14_17_21_37349 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_3 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(rf,type,
rf: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(rinvR,type,
rinvR: ( $i * $i ) > $o ).
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(i2003_11_14_17_21_37349,type,
i2003_11_14_17_21_37349: $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ccxcomp,type,
ccxcomp: $i > $o ).
tff(ca_Vx3,type,
ca_Vx3: $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('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_169,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ccxcomp(X)
& ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) )
& ? [Y] :
( rinvF(X,Y)
& cd(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_200,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rinvF(X,Y)
& cd(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_215,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_233,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
tff(f_220,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(f_192,axiom,
! [X] :
( cd(X)
<=> ( ? [Y] :
( rf(X,Y)
& ccxcomp(Y) )
& cc(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_148,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
tff(f_210,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_182,axiom,
! [X] :
( ccxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_176,axiom,
! [X] :
( cc(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_229,axiom,
cUnsatisfiable(i2003_11_14_17_21_37349),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(c_48,plain,
! [X_51] :
( cd('#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_50,plain,
! [X_51] :
( rinvF(X_51,'#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_199,plain,
! [X_128,Y_129] :
( ca_Vx3(X_128)
| ~ cd(Y_129)
| ~ rinvF(X_128,Y_129) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_241,plain,
! [X_138] :
( ca_Vx3(X_138)
| ~ cd('#skF_2'(X_138))
| ~ cUnsatisfiable(X_138) ),
inference(resolution,[status(thm)],[c_50,c_199]) ).
tff(c_245,plain,
! [X_51] :
( ca_Vx3(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_48,c_241]) ).
tff(c_186,plain,
! [X_122] :
( rinvF(X_122,'#skF_6'(X_122))
| ~ ca_Vx3(X_122) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_84,plain,
! [Y_80,X_79] :
( rf(Y_80,X_79)
| ~ rinvF(X_79,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_190,plain,
! [X_122] :
( rf('#skF_6'(X_122),X_122)
| ~ ca_Vx3(X_122) ),
inference(resolution,[status(thm)],[c_186,c_84]) ).
tff(c_96,plain,
! [X_86,Y_87] :
( rr(X_86,Y_87)
| ~ rf(X_86,Y_87) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_177,plain,
! [X_120,Y_121] :
( rinvR(X_120,Y_121)
| ~ rr(Y_121,X_120) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_184,plain,
! [Y_87,X_86] :
( rinvR(Y_87,X_86)
| ~ rf(X_86,Y_87) ),
inference(resolution,[status(thm)],[c_96,c_177]) ).
tff(c_212,plain,
! [Y_130,X_131] :
( ca_Vx3(Y_130)
| ~ rinvR(X_131,Y_130)
| ~ cUnsatisfiable(X_131) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_254,plain,
! [X_143,Y_144] :
( ca_Vx3(X_143)
| ~ cUnsatisfiable(Y_144)
| ~ rf(X_143,Y_144) ),
inference(resolution,[status(thm)],[c_184,c_212]) ).
tff(c_265,plain,
! [X_122] :
( ca_Vx3('#skF_6'(X_122))
| ~ cUnsatisfiable(X_122)
| ~ ca_Vx3(X_122) ),
inference(resolution,[status(thm)],[c_190,c_254]) ).
tff(c_115,plain,
! [X_96] :
( cd('#skF_6'(X_96))
| ~ ca_Vx3(X_96) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_70,plain,
! [X_66] :
( cc(X_66)
| ~ cd(X_66) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_119,plain,
! [X_96] :
( cc('#skF_6'(X_96))
| ~ ca_Vx3(X_96) ),
inference(resolution,[status(thm)],[c_115,c_70]) ).
tff(c_78,plain,
! [X_70] :
( cd('#skF_6'(X_70))
| ~ ca_Vx3(X_70) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_74,plain,
! [X_66] :
( rf(X_66,'#skF_5'(X_66))
| ~ cd(X_66) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_40,plain,
! [X_49] : cowlThing(X_49),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_82,plain,
! [Y1_78,Y0_77,X_74] :
( ( Y1_78 = Y0_77 )
| ~ rf(X_74,Y1_78)
| ~ rf(X_74,Y0_77)
| ~ cowlThing(X_74) ),
inference(cnfTransformation,[status(thm)],[f_210]) ).
tff(c_217,plain,
! [Y1_132,Y0_133,X_134] :
( ( Y1_132 = Y0_133 )
| ~ rf(X_134,Y1_132)
| ~ rf(X_134,Y0_133) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_82]) ).
tff(c_283,plain,
! [Y0_150,X_151] :
( ( Y0_150 = '#skF_5'(X_151) )
| ~ rf(X_151,Y0_150)
| ~ cd(X_151) ),
inference(resolution,[status(thm)],[c_74,c_217]) ).
tff(c_405,plain,
! [X_180] :
( ( '#skF_5'('#skF_6'(X_180)) = X_180 )
| ~ cd('#skF_6'(X_180))
| ~ ca_Vx3(X_180) ),
inference(resolution,[status(thm)],[c_190,c_283]) ).
tff(c_410,plain,
! [X_181] :
( ( '#skF_5'('#skF_6'(X_181)) = X_181 )
| ~ ca_Vx3(X_181) ),
inference(resolution,[status(thm)],[c_78,c_405]) ).
tff(c_72,plain,
! [X_66] :
( ccxcomp('#skF_5'(X_66))
| ~ cd(X_66) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_135,plain,
! [X_106] :
( ra_Px1(X_106,'#skF_4'(X_106))
| ~ ccxcomp(X_106) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_60,plain,
! [X_58,Y_61] :
( ~ ra_Px1(X_58,Y_61)
| ~ cc(X_58) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_144,plain,
! [X_107] :
( ~ cc(X_107)
| ~ ccxcomp(X_107) ),
inference(resolution,[status(thm)],[c_135,c_60]) ).
tff(c_155,plain,
! [X_66] :
( ~ cc('#skF_5'(X_66))
| ~ cd(X_66) ),
inference(resolution,[status(thm)],[c_72,c_144]) ).
tff(c_434,plain,
! [X_182] :
( ~ cc(X_182)
| ~ cd('#skF_6'(X_182))
| ~ ca_Vx3(X_182) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_155]) ).
tff(c_439,plain,
! [X_183] :
( ~ cc(X_183)
| ~ ca_Vx3(X_183) ),
inference(resolution,[status(thm)],[c_78,c_434]) ).
tff(c_448,plain,
! [X_184] :
( ~ ca_Vx3('#skF_6'(X_184))
| ~ ca_Vx3(X_184) ),
inference(resolution,[status(thm)],[c_119,c_439]) ).
tff(c_467,plain,
! [X_187] :
( ~ cUnsatisfiable(X_187)
| ~ ca_Vx3(X_187) ),
inference(resolution,[status(thm)],[c_265,c_448]) ).
tff(c_478,plain,
! [X_51] : ~ cUnsatisfiable(X_51),
inference(resolution,[status(thm)],[c_245,c_467]) ).
tff(c_94,plain,
cUnsatisfiable(i2003_11_14_17_21_37349),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_478,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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 : n010.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 19:52:28 EDT 2023
% 0.13/0.36 % CPUTime :
% 4.08/1.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.08/1.98
% 4.08/1.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.08/2.01
% 4.08/2.01 Inference rules
% 4.08/2.01 ----------------------
% 4.08/2.01 #Ref : 0
% 4.08/2.01 #Sup : 86
% 4.08/2.01 #Fact : 0
% 4.08/2.01 #Define : 0
% 4.08/2.01 #Split : 0
% 4.08/2.01 #Chain : 0
% 4.08/2.01 #Close : 0
% 4.08/2.01
% 4.08/2.01 Ordering : KBO
% 4.08/2.01
% 4.08/2.01 Simplification rules
% 4.08/2.01 ----------------------
% 4.08/2.01 #Subsume : 34
% 4.08/2.01 #Demod : 1
% 4.08/2.01 #Tautology : 38
% 4.08/2.01 #SimpNegUnit : 4
% 4.08/2.01 #BackRed : 4
% 4.08/2.01
% 4.08/2.01 #Partial instantiations: 0
% 4.08/2.01 #Strategies tried : 1
% 4.08/2.01
% 4.08/2.01 Timing (in seconds)
% 4.08/2.01 ----------------------
% 4.08/2.01 Preprocessing : 0.55
% 4.08/2.01 Parsing : 0.29
% 4.08/2.01 CNF conversion : 0.04
% 4.08/2.01 Main loop : 0.39
% 4.08/2.01 Inferencing : 0.17
% 4.08/2.01 Reduction : 0.08
% 4.08/2.01 Demodulation : 0.05
% 4.08/2.01 BG Simplification : 0.03
% 4.08/2.01 Subsumption : 0.09
% 4.08/2.02 Abstraction : 0.01
% 4.08/2.02 MUC search : 0.00
% 4.08/2.02 Cooper : 0.00
% 4.08/2.02 Total : 1.01
% 4.08/2.02 Index Insertion : 0.00
% 4.08/2.02 Index Deletion : 0.00
% 4.08/2.02 Index Matching : 0.00
% 4.08/2.02 BG Taut test : 0.00
%------------------------------------------------------------------------------