TSTP Solution File: KRS118+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS118+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 : n016.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 10:45:13 EDT 2023
% Result : Unsatisfiable 4.14s 2.12s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of formulae : 66 ( 4 unt; 21 typ; 0 def)
% Number of atoms : 103 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 50 ~; 41 |; 7 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 64 (; 59 !; 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_4056 > #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('#skF_1',type,
'#skF_1': $i > $i ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(i2003_11_14_17_21_4056,type,
i2003_11_14_17_21_4056: $i ).
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)
<=> ( ! [Y] :
( rinvR(X,Y)
=> ca_Vx3(Y) )
& ? [Y] :
( rinvF(X,Y)
& cd(Y) )
& ccxcomp(X) ) ),
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_212,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_230,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
tff(f_217,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_207,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
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_226,axiom,
cUnsatisfiable(i2003_11_14_17_21_4056),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(c_50,plain,
! [X_51] :
( cd('#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_52,plain,
! [X_51] :
( rinvF(X_51,'#skF_2'(X_51))
| ~ cUnsatisfiable(X_51) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_202,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_225,plain,
! [X_133] :
( ca_Vx3(X_133)
| ~ cd('#skF_2'(X_133))
| ~ cUnsatisfiable(X_133) ),
inference(resolution,[status(thm)],[c_52,c_202]) ).
tff(c_229,plain,
! [X_51] :
( ca_Vx3(X_51)
| ~ cUnsatisfiable(X_51) ),
inference(resolution,[status(thm)],[c_50,c_225]) ).
tff(c_189,plain,
! [X_121] :
( rinvF(X_121,'#skF_6'(X_121))
| ~ ca_Vx3(X_121) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_84,plain,
! [Y_78,X_77] :
( rf(Y_78,X_77)
| ~ rinvF(X_77,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_193,plain,
! [X_121] :
( rf('#skF_6'(X_121),X_121)
| ~ ca_Vx3(X_121) ),
inference(resolution,[status(thm)],[c_189,c_84]) ).
tff(c_96,plain,
! [X_84,Y_85] :
( rr(X_84,Y_85)
| ~ rf(X_84,Y_85) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_175,plain,
! [X_118,Y_119] :
( rinvR(X_118,Y_119)
| ~ rr(Y_119,X_118) ),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_183,plain,
! [Y_85,X_84] :
( rinvR(Y_85,X_84)
| ~ rf(X_84,Y_85) ),
inference(resolution,[status(thm)],[c_96,c_175]) ).
tff(c_197,plain,
! [Y_126,X_127] :
( ca_Vx3(Y_126)
| ~ rinvR(X_127,Y_126)
| ~ cUnsatisfiable(X_127) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_252,plain,
! [X_141,Y_142] :
( ca_Vx3(X_141)
| ~ cUnsatisfiable(Y_142)
| ~ rf(X_141,Y_142) ),
inference(resolution,[status(thm)],[c_183,c_197]) ).
tff(c_262,plain,
! [X_121] :
( ca_Vx3('#skF_6'(X_121))
| ~ cUnsatisfiable(X_121)
| ~ ca_Vx3(X_121) ),
inference(resolution,[status(thm)],[c_193,c_252]) ).
tff(c_114,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_118,plain,
! [X_96] :
( cc('#skF_6'(X_96))
| ~ ca_Vx3(X_96) ),
inference(resolution,[status(thm)],[c_114,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_215,plain,
! [Z_130,Y_131,X_132] :
( ( Z_130 = Y_131 )
| ~ rf(X_132,Z_130)
| ~ rf(X_132,Y_131) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_281,plain,
! [Y_148,X_149] :
( ( Y_148 = '#skF_5'(X_149) )
| ~ rf(X_149,Y_148)
| ~ cd(X_149) ),
inference(resolution,[status(thm)],[c_74,c_215]) ).
tff(c_346,plain,
! [X_165] :
( ( '#skF_5'('#skF_6'(X_165)) = X_165 )
| ~ cd('#skF_6'(X_165))
| ~ ca_Vx3(X_165) ),
inference(resolution,[status(thm)],[c_193,c_281]) ).
tff(c_351,plain,
! [X_166] :
( ( '#skF_5'('#skF_6'(X_166)) = X_166 )
| ~ ca_Vx3(X_166) ),
inference(resolution,[status(thm)],[c_78,c_346]) ).
tff(c_72,plain,
! [X_66] :
( ccxcomp('#skF_5'(X_66))
| ~ cd(X_66) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_134,plain,
! [X_107] :
( ra_Px1(X_107,'#skF_4'(X_107))
| ~ ccxcomp(X_107) ),
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_148,plain,
! [X_110] :
( ~ cc(X_110)
| ~ ccxcomp(X_110) ),
inference(resolution,[status(thm)],[c_134,c_60]) ).
tff(c_159,plain,
! [X_66] :
( ~ cc('#skF_5'(X_66))
| ~ cd(X_66) ),
inference(resolution,[status(thm)],[c_72,c_148]) ).
tff(c_385,plain,
! [X_169] :
( ~ cc(X_169)
| ~ cd('#skF_6'(X_169))
| ~ ca_Vx3(X_169) ),
inference(superposition,[status(thm),theory(equality)],[c_351,c_159]) ).
tff(c_390,plain,
! [X_170] :
( ~ cc(X_170)
| ~ ca_Vx3(X_170) ),
inference(resolution,[status(thm)],[c_78,c_385]) ).
tff(c_399,plain,
! [X_171] :
( ~ ca_Vx3('#skF_6'(X_171))
| ~ ca_Vx3(X_171) ),
inference(resolution,[status(thm)],[c_118,c_390]) ).
tff(c_418,plain,
! [X_174] :
( ~ cUnsatisfiable(X_174)
| ~ ca_Vx3(X_174) ),
inference(resolution,[status(thm)],[c_262,c_399]) ).
tff(c_430,plain,
! [X_51] : ~ cUnsatisfiable(X_51),
inference(resolution,[status(thm)],[c_229,c_418]) ).
tff(c_94,plain,
cUnsatisfiable(i2003_11_14_17_21_4056),
inference(cnfTransformation,[status(thm)],[f_226]) ).
tff(c_434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS118+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
% 0.14/0.35 % Computer : n016.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 20:33:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.14/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.14/2.12
% 4.14/2.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.14/2.16
% 4.14/2.16 Inference rules
% 4.14/2.16 ----------------------
% 4.14/2.16 #Ref : 0
% 4.14/2.16 #Sup : 72
% 4.14/2.16 #Fact : 0
% 4.14/2.16 #Define : 0
% 4.14/2.16 #Split : 0
% 4.14/2.16 #Chain : 0
% 4.14/2.16 #Close : 0
% 4.14/2.16
% 4.14/2.16 Ordering : KBO
% 4.14/2.16
% 4.14/2.16 Simplification rules
% 4.14/2.16 ----------------------
% 4.14/2.16 #Subsume : 28
% 4.14/2.16 #Demod : 0
% 4.14/2.16 #Tautology : 35
% 4.14/2.16 #SimpNegUnit : 3
% 4.14/2.16 #BackRed : 3
% 4.14/2.16
% 4.14/2.16 #Partial instantiations: 0
% 4.14/2.16 #Strategies tried : 1
% 4.14/2.16
% 4.14/2.16 Timing (in seconds)
% 4.14/2.16 ----------------------
% 4.14/2.16 Preprocessing : 0.61
% 4.14/2.16 Parsing : 0.31
% 4.14/2.16 CNF conversion : 0.05
% 4.14/2.16 Main loop : 0.39
% 4.14/2.16 Inferencing : 0.17
% 4.14/2.16 Reduction : 0.08
% 4.14/2.16 Demodulation : 0.05
% 4.14/2.16 BG Simplification : 0.03
% 4.14/2.16 Subsumption : 0.09
% 4.14/2.16 Abstraction : 0.01
% 4.14/2.16 MUC search : 0.00
% 4.14/2.16 Cooper : 0.00
% 4.14/2.16 Total : 1.05
% 4.14/2.16 Index Insertion : 0.00
% 4.14/2.16 Index Deletion : 0.00
% 4.14/2.16 Index Matching : 0.00
% 4.14/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------