TSTP Solution File: KRS114+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS114+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 : n025.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 4.20s 1.96s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 36
% Syntax : Number of formulae : 62 ( 4 unt; 28 typ; 0 def)
% Number of atoms : 81 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 38 ~; 31 |; 7 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 27 >; 5 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 46 (; 41 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rr > rinvR > ra_Px2 > ra_Px1 > xsd_string > xsd_integer > cqxcomp > cq > cpxcomp > cp > cowlThing > cowlNothing > ca_Vx5 > ca_Ax4 > ca_Ax3 > cUnsatisfiable > #nlpp > i2003_11_14_17_21_262 > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_1 > #skF_8 > #skF_10 > #skF_3 > #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(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(ra_Px2,type,
ra_Px2: ( $i * $i ) > $o ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(cqxcomp,type,
cqxcomp: $i > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(cpxcomp,type,
cpxcomp: $i > $o ).
tff(i2003_11_14_17_21_262,type,
i2003_11_14_17_21_262: $i ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ca_Ax3,type,
ca_Ax3: $i > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(ca_Vx5,type,
ca_Vx5: $i > $o ).
tff(cp,type,
cp: $i > $o ).
tff(cq,type,
cq: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(ca_Ax4,type,
ca_Ax4: $i > $o ).
tff(f_184,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Ax4(Y) )
& ? [Y] :
( rs(X,Y)
& ca_Ax3(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_245,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_232,axiom,
! [X] :
( ca_Ax4(X)
<=> ( ! [Y0,Y1] :
( ( rinvR(X,Y0)
& rinvR(X,Y1) )
=> ( Y0 = Y1 ) )
& ? [Y] :
( rinvR(X,Y)
& ca_Vx5(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(f_240,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rs(X,Y)
=> cp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
tff(f_217,axiom,
! [X] :
( ca_Ax3(X)
<=> ( cqxcomp(X)
& cpxcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_197,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_191,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_247,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
tff(c_60,plain,
! [X_57] :
( ca_Ax4('#skF_1'(X_57))
| ~ cUnsatisfiable(X_57) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_62,plain,
! [X_57] :
( rr(X_57,'#skF_1'(X_57))
| ~ cUnsatisfiable(X_57) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_142,plain,
! [X_123,Y_124] :
( rinvR(X_123,Y_124)
| ~ rr(Y_124,X_123) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_149,plain,
! [X_57] :
( rinvR('#skF_1'(X_57),X_57)
| ~ cUnsatisfiable(X_57) ),
inference(resolution,[status(thm)],[c_62,c_142]) ).
tff(c_88,plain,
! [X_81] :
( rinvR(X_81,'#skF_9'(X_81))
| ~ ca_Ax4(X_81) ),
inference(cnfTransformation,[status(thm)],[f_232]) ).
tff(c_223,plain,
! [Y1_138,Y0_139,X_140] :
( ( Y1_138 = Y0_139 )
| ~ rinvR(X_140,Y1_138)
| ~ rinvR(X_140,Y0_139)
| ~ ca_Ax4(X_140) ),
inference(cnfTransformation,[status(thm)],[f_232]) ).
tff(c_255,plain,
! [Y0_147,X_148] :
( ( Y0_147 = '#skF_9'(X_148) )
| ~ rinvR(X_148,Y0_147)
| ~ ca_Ax4(X_148) ),
inference(resolution,[status(thm)],[c_88,c_223]) ).
tff(c_265,plain,
! [X_149] :
( ( '#skF_9'('#skF_1'(X_149)) = X_149 )
| ~ ca_Ax4('#skF_1'(X_149))
| ~ cUnsatisfiable(X_149) ),
inference(resolution,[status(thm)],[c_149,c_255]) ).
tff(c_270,plain,
! [X_150] :
( ( '#skF_9'('#skF_1'(X_150)) = X_150 )
| ~ cUnsatisfiable(X_150) ),
inference(resolution,[status(thm)],[c_60,c_265]) ).
tff(c_86,plain,
! [X_81] :
( ca_Vx5('#skF_9'(X_81))
| ~ ca_Ax4(X_81) ),
inference(cnfTransformation,[status(thm)],[f_232]) ).
tff(c_288,plain,
! [X_151] :
( ca_Vx5(X_151)
| ~ ca_Ax4('#skF_1'(X_151))
| ~ cUnsatisfiable(X_151) ),
inference(superposition,[status(thm),theory(equality)],[c_270,c_86]) ).
tff(c_300,plain,
! [X_154] :
( ca_Vx5(X_154)
| ~ cUnsatisfiable(X_154) ),
inference(resolution,[status(thm)],[c_60,c_288]) ).
tff(c_56,plain,
! [X_57] :
( ca_Ax3('#skF_2'(X_57))
| ~ cUnsatisfiable(X_57) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_58,plain,
! [X_57] :
( rs(X_57,'#skF_2'(X_57))
| ~ cUnsatisfiable(X_57) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_214,plain,
! [Y_136,X_137] :
( cp(Y_136)
| ~ rs(X_137,Y_136)
| ~ ca_Vx5(X_137) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_230,plain,
! [X_141] :
( cp('#skF_2'(X_141))
| ~ ca_Vx5(X_141)
| ~ cUnsatisfiable(X_141) ),
inference(resolution,[status(thm)],[c_58,c_214]) ).
tff(c_82,plain,
! [X_80] :
( cpxcomp(X_80)
| ~ ca_Ax3(X_80) ),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_161,plain,
! [X_127] :
( ra_Px1(X_127,'#skF_4'(X_127))
| ~ cpxcomp(X_127) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_64,plain,
! [X_64,Y_67] :
( ~ ra_Px1(X_64,Y_67)
| ~ cp(X_64) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_170,plain,
! [X_128] :
( ~ cp(X_128)
| ~ cpxcomp(X_128) ),
inference(resolution,[status(thm)],[c_161,c_64]) ).
tff(c_178,plain,
! [X_80] :
( ~ cp(X_80)
| ~ ca_Ax3(X_80) ),
inference(resolution,[status(thm)],[c_82,c_170]) ).
tff(c_235,plain,
! [X_142] :
( ~ ca_Ax3('#skF_2'(X_142))
| ~ ca_Vx5(X_142)
| ~ cUnsatisfiable(X_142) ),
inference(resolution,[status(thm)],[c_230,c_178]) ).
tff(c_239,plain,
! [X_57] :
( ~ ca_Vx5(X_57)
| ~ cUnsatisfiable(X_57) ),
inference(resolution,[status(thm)],[c_56,c_235]) ).
tff(c_304,plain,
! [X_154] : ~ cUnsatisfiable(X_154),
inference(resolution,[status(thm)],[c_300,c_239]) ).
tff(c_108,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_304,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS114+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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:16:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.20/1.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.20/1.97
% 4.20/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.23/2.00
% 4.23/2.00 Inference rules
% 4.23/2.00 ----------------------
% 4.23/2.00 #Ref : 0
% 4.23/2.00 #Sup : 39
% 4.23/2.00 #Fact : 0
% 4.23/2.00 #Define : 0
% 4.23/2.00 #Split : 0
% 4.23/2.00 #Chain : 0
% 4.23/2.00 #Close : 0
% 4.23/2.00
% 4.23/2.00 Ordering : KBO
% 4.23/2.00
% 4.23/2.00 Simplification rules
% 4.23/2.00 ----------------------
% 4.23/2.00 #Subsume : 16
% 4.23/2.00 #Demod : 0
% 4.23/2.00 #Tautology : 38
% 4.23/2.00 #SimpNegUnit : 1
% 4.23/2.00 #BackRed : 1
% 4.23/2.00
% 4.23/2.00 #Partial instantiations: 0
% 4.23/2.00 #Strategies tried : 1
% 4.23/2.00
% 4.23/2.00 Timing (in seconds)
% 4.23/2.00 ----------------------
% 4.23/2.00 Preprocessing : 0.57
% 4.23/2.00 Parsing : 0.29
% 4.23/2.00 CNF conversion : 0.04
% 4.23/2.00 Main loop : 0.27
% 4.23/2.00 Inferencing : 0.12
% 4.23/2.00 Reduction : 0.06
% 4.23/2.00 Demodulation : 0.04
% 4.23/2.00 BG Simplification : 0.03
% 4.23/2.00 Subsumption : 0.05
% 4.23/2.00 Abstraction : 0.02
% 4.23/2.00 MUC search : 0.00
% 4.23/2.00 Cooper : 0.00
% 4.23/2.00 Total : 0.90
% 4.23/2.00 Index Insertion : 0.00
% 4.23/2.00 Index Deletion : 0.00
% 4.23/2.00 Index Matching : 0.00
% 4.23/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------