TSTP Solution File: KRS104+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS104+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 : n020.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 3.83s 1.96s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 61
% Syntax : Number of formulae : 113 ( 7 unt; 41 typ; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 136 ( 60 ~; 51 |; 6 &)
% ( 17 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 40 >; 7 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 87 (; 75 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ra_Px8 > ra_Px7 > ra_Px6 > ra_Px5 > ra_Px3 > ra_Px2 > ra_Px1 > xsd_string > xsd_integer > cowlThing > cowlNothing > ccxcomp > cc > cbxcomp > cb > ca_Cx8xcomp > ca_Cx8 > ca_Cx7xcomp > ca_Cx7 > ca_Cx6xcomp > ca_Cx6 > ca_Cx1xcomp > ca_Cx1 > ca > cUnsatisfiablexcomp > cUnsatisfiable > #nlpp > i2003_11_14_17_20_50869 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_8 > #skF_10 > #skF_13 > #skF_3 > #skF_11 > #skF_14 > #skF_12 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(ra_Px5,type,
ra_Px5: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(ra_Px2,type,
ra_Px2: ( $i * $i ) > $o ).
tff(ca_Cx8xcomp,type,
ca_Cx8xcomp: $i > $o ).
tff(cc,type,
cc: $i > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(ca_Cx8,type,
ca_Cx8: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ra_Px8,type,
ra_Px8: ( $i * $i ) > $o ).
tff(cUnsatisfiablexcomp,type,
cUnsatisfiablexcomp: $i > $o ).
tff(ra_Px6,type,
ra_Px6: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(ca_Cx1xcomp,type,
ca_Cx1xcomp: $i > $o ).
tff(cbxcomp,type,
cbxcomp: $i > $o ).
tff(ca_Cx7xcomp,type,
ca_Cx7xcomp: $i > $o ).
tff(ca_Cx6xcomp,type,
ca_Cx6xcomp: $i > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(i2003_11_14_17_20_50869,type,
i2003_11_14_17_20_50869: $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(ra_Px7,type,
ra_Px7: ( $i * $i ) > $o ).
tff(ca,type,
ca: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ccxcomp,type,
ccxcomp: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(ca_Cx1,type,
ca_Cx1: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff(ca_Cx6,type,
ca_Cx6: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(ca_Cx7,type,
ca_Cx7: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(cb,type,
cb: $i > $o ).
tff(ra_Px3,type,
ra_Px3: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_126,axiom,
! [X] :
( ca_Cx6(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
tff(f_139,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
tff(f_133,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ( ca(X)
& cb(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
tff(f_159,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
tff(f_145,axiom,
! [X] :
( ca_Cx7(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
tff(f_152,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ( cc(X)
& ca(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
tff(f_179,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ( cc(X)
& cb(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
tff(f_79,axiom,
! [X] :
( cb(X)
=> ccxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_92,axiom,
! [X] :
( cc(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(f_99,axiom,
! [X] :
( ccxcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_166,axiom,
! [X] :
( ca_Cx8(X)
<=> ~ ? [Y] : ra_Px8(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
tff(f_172,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ? [Y0] : ra_Px8(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
tff(f_57,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ( ca_Cx7(X)
& ca_Cx8(X)
& ca_Cx6(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_68,axiom,
! [X] :
( ca(X)
=> ca_Cx1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_106,axiom,
! [X] :
( ca_Cx1(X)
<=> ( cbxcomp(X)
& ccxcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(f_74,axiom,
! [X] :
( cb(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_86,axiom,
! [X] :
( cbxcomp(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_63,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_48,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_181,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
tff(c_329,plain,
! [X_144] :
( ca_Cx6(X_144)
| ra_Px6(X_144,'#skF_9'(X_144)) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_72,plain,
! [X_44,Y0_47] :
( ca_Cx6xcomp(X_44)
| ~ ra_Px6(X_44,Y0_47) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_338,plain,
! [X_145] :
( ca_Cx6xcomp(X_145)
| ca_Cx6(X_145) ),
inference(resolution,[status(thm)],[c_329,c_72]) ).
tff(c_68,plain,
! [X_43] :
( ca(X_43)
| ~ ca_Cx6xcomp(X_43) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_350,plain,
! [X_145] :
( ca(X_145)
| ca_Cx6(X_145) ),
inference(resolution,[status(thm)],[c_338,c_68]) ).
tff(c_245,plain,
! [X_130] :
( ca_Cx7xcomp(X_130)
| ra_Px7(X_130,'#skF_12'(X_130)) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_76,plain,
! [X_48,Y0_51] :
( ca_Cx7(X_48)
| ~ ra_Px7(X_48,Y0_51) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_254,plain,
! [X_131] :
( ca_Cx7(X_131)
| ca_Cx7xcomp(X_131) ),
inference(resolution,[status(thm)],[c_245,c_76]) ).
tff(c_80,plain,
! [X_52] :
( ca(X_52)
| ~ ca_Cx7xcomp(X_52) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_258,plain,
! [X_131] :
( ca(X_131)
| ca_Cx7(X_131) ),
inference(resolution,[status(thm)],[c_254,c_80]) ).
tff(c_98,plain,
! [X_65] :
( cb(X_65)
| ~ ca_Cx8xcomp(X_65) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_100,plain,
! [X_65] :
( cc(X_65)
| ~ ca_Cx8xcomp(X_65) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_32,plain,
! [X_17] :
( ccxcomp(X_17)
| ~ cb(X_17) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_269,plain,
! [X_134] :
( ra_Px2(X_134,'#skF_5'(X_134))
| ~ cc(X_134) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_42,plain,
! [X_26,Y_29] :
( ~ ra_Px2(X_26,Y_29)
| ~ ccxcomp(X_26) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_283,plain,
! [X_136] :
( ~ ccxcomp(X_136)
| ~ cc(X_136) ),
inference(resolution,[status(thm)],[c_269,c_42]) ).
tff(c_292,plain,
! [X_137] :
( ~ cc(X_137)
| ~ cb(X_137) ),
inference(resolution,[status(thm)],[c_32,c_283]) ).
tff(c_310,plain,
! [X_139] :
( ~ cb(X_139)
| ~ ca_Cx8xcomp(X_139) ),
inference(resolution,[status(thm)],[c_100,c_292]) ).
tff(c_317,plain,
! [X_65] : ~ ca_Cx8xcomp(X_65),
inference(resolution,[status(thm)],[c_98,c_310]) ).
tff(c_206,plain,
! [X_123] :
( ca_Cx8(X_123)
| ra_Px8(X_123,'#skF_13'(X_123)) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_94,plain,
! [X_61,Y0_64] :
( ca_Cx8xcomp(X_61)
| ~ ra_Px8(X_61,Y0_64) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_213,plain,
! [X_123] :
( ca_Cx8xcomp(X_123)
| ca_Cx8(X_123) ),
inference(resolution,[status(thm)],[c_206,c_94]) ).
tff(c_319,plain,
! [X_123] : ca_Cx8(X_123),
inference(negUnitSimplification,[status(thm)],[c_317,c_213]) ).
tff(c_14,plain,
! [X_7] :
( cUnsatisfiablexcomp(X_7)
| ~ ca_Cx6(X_7)
| ~ ca_Cx8(X_7)
| ~ ca_Cx7(X_7) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_428,plain,
! [X_160] :
( cUnsatisfiablexcomp(X_160)
| ~ ca_Cx6(X_160)
| ~ ca_Cx7(X_160) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_14]) ).
tff(c_445,plain,
! [X_161] :
( cUnsatisfiablexcomp(X_161)
| ~ ca_Cx6(X_161)
| ca(X_161) ),
inference(resolution,[status(thm)],[c_258,c_428]) ).
tff(c_456,plain,
! [X_145] :
( cUnsatisfiablexcomp(X_145)
| ca(X_145) ),
inference(resolution,[status(thm)],[c_350,c_445]) ).
tff(c_26,plain,
! [X_12] :
( ca_Cx1(X_12)
| ~ ca(X_12) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_66,plain,
! [X_43] :
( cb(X_43)
| ~ ca_Cx6xcomp(X_43) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_50,plain,
! [X_30] :
( cbxcomp(X_30)
| ~ ca_Cx1(X_30) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_168,plain,
! [X_117] :
( ra_Px3(X_117,'#skF_3'(X_117))
| ~ cb(X_117) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_34,plain,
! [X_18,Y_21] :
( ~ ra_Px3(X_18,Y_21)
| ~ cbxcomp(X_18) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_186,plain,
! [X_119] :
( ~ cbxcomp(X_119)
| ~ cb(X_119) ),
inference(resolution,[status(thm)],[c_168,c_34]) ).
tff(c_195,plain,
! [X_120] :
( ~ cb(X_120)
| ~ ca_Cx1(X_120) ),
inference(resolution,[status(thm)],[c_50,c_186]) ).
tff(c_203,plain,
! [X_43] :
( ~ ca_Cx1(X_43)
| ~ ca_Cx6xcomp(X_43) ),
inference(resolution,[status(thm)],[c_66,c_195]) ).
tff(c_349,plain,
! [X_145] :
( ~ ca_Cx1(X_145)
| ca_Cx6(X_145) ),
inference(resolution,[status(thm)],[c_338,c_203]) ).
tff(c_253,plain,
! [X_130] :
( ca_Cx7(X_130)
| ca_Cx7xcomp(X_130) ),
inference(resolution,[status(thm)],[c_245,c_76]) ).
tff(c_82,plain,
! [X_52] :
( cc(X_52)
| ~ ca_Cx7xcomp(X_52) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_48,plain,
! [X_30] :
( ccxcomp(X_30)
| ~ ca_Cx1(X_30) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_301,plain,
! [X_138] :
( ~ cc(X_138)
| ~ ca_Cx1(X_138) ),
inference(resolution,[status(thm)],[c_48,c_283]) ).
tff(c_375,plain,
! [X_150] :
( ~ ca_Cx1(X_150)
| ~ ca_Cx7xcomp(X_150) ),
inference(resolution,[status(thm)],[c_82,c_301]) ).
tff(c_379,plain,
! [X_130] :
( ~ ca_Cx1(X_130)
| ca_Cx7(X_130) ),
inference(resolution,[status(thm)],[c_253,c_375]) ).
tff(c_459,plain,
! [X_163] :
( cUnsatisfiablexcomp(X_163)
| ~ ca_Cx6(X_163)
| ~ ca_Cx1(X_163) ),
inference(resolution,[status(thm)],[c_379,c_428]) ).
tff(c_472,plain,
! [X_164] :
( cUnsatisfiablexcomp(X_164)
| ~ ca_Cx1(X_164) ),
inference(resolution,[status(thm)],[c_349,c_459]) ).
tff(c_477,plain,
! [X_165] :
( cUnsatisfiablexcomp(X_165)
| ~ ca(X_165) ),
inference(resolution,[status(thm)],[c_26,c_472]) ).
tff(c_481,plain,
! [X_145] : cUnsatisfiablexcomp(X_145),
inference(resolution,[status(thm)],[c_456,c_477]) ).
tff(c_215,plain,
! [X_124] :
( ra_Px5(X_124,'#skF_2'(X_124))
| ~ cUnsatisfiablexcomp(X_124) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_10,plain,
! [X_3,Y_6] :
( ~ ra_Px5(X_3,Y_6)
| ~ cUnsatisfiable(X_3) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_223,plain,
! [X_124] :
( ~ cUnsatisfiable(X_124)
| ~ cUnsatisfiablexcomp(X_124) ),
inference(resolution,[status(thm)],[c_215,c_10]) ).
tff(c_487,plain,
! [X_124] : ~ cUnsatisfiable(X_124),
inference(demodulation,[status(thm),theory(equality)],[c_481,c_223]) ).
tff(c_102,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_487,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 20:03:52 EDT 2023
% 0.15/0.37 % CPUTime :
% 3.83/1.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.97
% 3.83/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.30/2.01
% 4.30/2.01 Inference rules
% 4.30/2.01 ----------------------
% 4.30/2.01 #Ref : 0
% 4.30/2.01 #Sup : 71
% 4.30/2.01 #Fact : 0
% 4.30/2.01 #Define : 0
% 4.30/2.01 #Split : 0
% 4.30/2.01 #Chain : 0
% 4.30/2.01 #Close : 0
% 4.30/2.01
% 4.30/2.01 Ordering : KBO
% 4.30/2.01
% 4.30/2.01 Simplification rules
% 4.30/2.01 ----------------------
% 4.30/2.01 #Subsume : 17
% 4.30/2.01 #Demod : 15
% 4.30/2.01 #Tautology : 36
% 4.30/2.01 #SimpNegUnit : 5
% 4.30/2.01 #BackRed : 9
% 4.30/2.01
% 4.30/2.01 #Partial instantiations: 0
% 4.30/2.01 #Strategies tried : 1
% 4.30/2.01
% 4.30/2.01 Timing (in seconds)
% 4.30/2.01 ----------------------
% 4.30/2.01 Preprocessing : 0.50
% 4.30/2.01 Parsing : 0.26
% 4.30/2.01 CNF conversion : 0.04
% 4.30/2.01 Main loop : 0.41
% 4.30/2.01 Inferencing : 0.18
% 4.30/2.01 Reduction : 0.09
% 4.30/2.01 Demodulation : 0.06
% 4.30/2.01 BG Simplification : 0.03
% 4.30/2.01 Subsumption : 0.07
% 4.30/2.01 Abstraction : 0.01
% 4.30/2.01 MUC search : 0.00
% 4.30/2.01 Cooper : 0.00
% 4.30/2.01 Total : 0.97
% 4.30/2.01 Index Insertion : 0.00
% 4.30/2.01 Index Deletion : 0.00
% 4.30/2.01 Index Matching : 0.00
% 4.30/2.01 BG Taut test : 0.00
%------------------------------------------------------------------------------