TSTP Solution File: KRS112+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS112+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 10:45:12 EDT 2023
% Result : Unsatisfiable 4.15s 1.98s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 70 ( 7 unt; 23 typ; 0 def)
% Number of atoms : 104 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 46 ~; 39 |; 7 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 22 >; 7 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 63 (; 58 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rs > rinvS > rinvF1 > rinvF > rf1 > rf > ra_Px1 > xsd_string > xsd_integer > cpxcomp > cp > cowlThing > cowlNothing > ca_Vx3 > ca_Ax2 > cUnsatisfiable > #nlpp > i2003_11_14_17_21_19256 > #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(i2003_11_14_17_21_19256,type,
i2003_11_14_17_21_19256: $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rinvS,type,
rinvS: ( $i * $i ) > $o ).
tff(rs,type,
rs: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ca_Ax2,type,
ca_Ax2: $i > $o ).
tff(rinvF,type,
rinvF: ( $i * $i ) > $o ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(cpxcomp,type,
cpxcomp: $i > $o ).
tff(ra_Px1,type,
ra_Px1: ( $i * $i ) > $o ).
tff(ca_Vx3,type,
ca_Vx3: $i > $o ).
tff(rf1,type,
rf1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cp,type,
cp: $i > $o ).
tff(rinvF1,type,
rinvF1: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(f_259,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
tff(f_190,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
tff(f_245,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
tff(f_213,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cpxcomp(X)
& ! [Y] :
( rinvF1(X,Y)
=> ca_Vx3(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
tff(f_221,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
tff(f_263,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
tff(f_228,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
tff(f_203,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
tff(f_197,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
tff(f_267,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
tff(f_235,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
tff(c_106,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_62,plain,
! [X_63] :
( ca_Ax2('#skF_1'(X_63))
| ~ cUnsatisfiable(X_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_64,plain,
! [X_63] :
( rf1(X_63,'#skF_1'(X_63))
| ~ cUnsatisfiable(X_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_98,plain,
! [X_94,Y_95] :
( rinvF1(X_94,Y_95)
| ~ rf1(Y_95,X_94) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_232,plain,
! [Y_153,X_154] :
( ca_Vx3(Y_153)
| ~ rinvF1(X_154,Y_153)
| ~ ca_Ax2(X_154) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_237,plain,
! [Y_155,X_156] :
( ca_Vx3(Y_155)
| ~ ca_Ax2(X_156)
| ~ rf1(Y_155,X_156) ),
inference(resolution,[status(thm)],[c_98,c_232]) ).
tff(c_246,plain,
! [X_157] :
( ca_Vx3(X_157)
| ~ ca_Ax2('#skF_1'(X_157))
| ~ cUnsatisfiable(X_157) ),
inference(resolution,[status(thm)],[c_64,c_237]) ).
tff(c_250,plain,
! [X_63] :
( ca_Vx3(X_63)
| ~ cUnsatisfiable(X_63) ),
inference(resolution,[status(thm)],[c_62,c_246]) ).
tff(c_86,plain,
! [X_82] :
( rs(X_82,'#skF_6'(X_82))
| ~ ca_Vx3(X_82) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_135,plain,
! [X_122,Y_123] :
( rf(X_122,Y_123)
| ~ rs(X_122,Y_123) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_139,plain,
! [X_82] :
( rf(X_82,'#skF_6'(X_82))
| ~ ca_Vx3(X_82) ),
inference(resolution,[status(thm)],[c_86,c_135]) ).
tff(c_60,plain,
! [X_63] :
( rf(X_63,'#skF_2'(X_63))
| ~ cUnsatisfiable(X_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_256,plain,
! [Z_159,Y_160,X_161] :
( ( Z_159 = Y_160 )
| ~ rf(X_161,Z_159)
| ~ rf(X_161,Y_160) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_302,plain,
! [Y_174,X_175] :
( ( Y_174 = '#skF_2'(X_175) )
| ~ rf(X_175,Y_174)
| ~ cUnsatisfiable(X_175) ),
inference(resolution,[status(thm)],[c_60,c_256]) ).
tff(c_343,plain,
! [X_183] :
( ( '#skF_2'(X_183) = '#skF_6'(X_183) )
| ~ cUnsatisfiable(X_183)
| ~ ca_Vx3(X_183) ),
inference(resolution,[status(thm)],[c_139,c_302]) ).
tff(c_348,plain,
! [X_184] :
( ( '#skF_2'(X_184) = '#skF_6'(X_184) )
| ~ cUnsatisfiable(X_184) ),
inference(resolution,[status(thm)],[c_250,c_343]) ).
tff(c_352,plain,
'#skF_2'(i2003_11_14_17_21_19256) = '#skF_6'(i2003_11_14_17_21_19256),
inference(resolution,[status(thm)],[c_106,c_348]) ).
tff(c_58,plain,
! [X_63] :
( cp('#skF_2'(X_63))
| ~ cUnsatisfiable(X_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_76,plain,
! [X_78] :
( cpxcomp(X_78)
| ~ ca_Ax2(X_78) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_151,plain,
! [X_130] :
( ra_Px1(X_130,'#skF_4'(X_130))
| ~ cpxcomp(X_130) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_66,plain,
! [X_70,Y_73] :
( ~ ra_Px1(X_70,Y_73)
| ~ cp(X_70) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_161,plain,
! [X_132] :
( ~ cp(X_132)
| ~ cpxcomp(X_132) ),
inference(resolution,[status(thm)],[c_151,c_66]) ).
tff(c_166,plain,
! [X_133] :
( ~ cp(X_133)
| ~ ca_Ax2(X_133) ),
inference(resolution,[status(thm)],[c_76,c_161]) ).
tff(c_170,plain,
! [X_63] :
( ~ ca_Ax2('#skF_2'(X_63))
| ~ cUnsatisfiable(X_63) ),
inference(resolution,[status(thm)],[c_58,c_166]) ).
tff(c_356,plain,
( ~ ca_Ax2('#skF_6'(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm),theory(equality)],[c_352,c_170]) ).
tff(c_366,plain,
~ ca_Ax2('#skF_6'(i2003_11_14_17_21_19256)),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_356]) ).
tff(c_140,plain,
! [X_124,Y_125] :
( rf1(X_124,Y_125)
| ~ rs(X_124,Y_125) ),
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_144,plain,
! [X_82] :
( rf1(X_82,'#skF_6'(X_82))
| ~ ca_Vx3(X_82) ),
inference(resolution,[status(thm)],[c_86,c_140]) ).
tff(c_264,plain,
! [Z_163,Y_164,X_165] :
( ( Z_163 = Y_164 )
| ~ rf1(X_165,Z_163)
| ~ rf1(X_165,Y_164) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_312,plain,
! [Y_176,X_177] :
( ( Y_176 = '#skF_1'(X_177) )
| ~ rf1(X_177,Y_176)
| ~ cUnsatisfiable(X_177) ),
inference(resolution,[status(thm)],[c_64,c_264]) ).
tff(c_444,plain,
! [X_192] :
( ( '#skF_1'(X_192) = '#skF_6'(X_192) )
| ~ cUnsatisfiable(X_192)
| ~ ca_Vx3(X_192) ),
inference(resolution,[status(thm)],[c_144,c_312]) ).
tff(c_449,plain,
! [X_193] :
( ( '#skF_1'(X_193) = '#skF_6'(X_193) )
| ~ cUnsatisfiable(X_193) ),
inference(resolution,[status(thm)],[c_250,c_444]) ).
tff(c_453,plain,
'#skF_1'(i2003_11_14_17_21_19256) = '#skF_6'(i2003_11_14_17_21_19256),
inference(resolution,[status(thm)],[c_106,c_449]) ).
tff(c_460,plain,
( ca_Ax2('#skF_6'(i2003_11_14_17_21_19256))
| ~ cUnsatisfiable(i2003_11_14_17_21_19256) ),
inference(superposition,[status(thm),theory(equality)],[c_453,c_62]) ).
tff(c_466,plain,
ca_Ax2('#skF_6'(i2003_11_14_17_21_19256)),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_460]) ).
tff(c_468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_366,c_466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS112+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 20:04:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 4.15/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.15/1.99
% 4.15/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.36/2.02
% 4.36/2.02 Inference rules
% 4.36/2.02 ----------------------
% 4.36/2.02 #Ref : 0
% 4.36/2.02 #Sup : 74
% 4.36/2.02 #Fact : 0
% 4.36/2.02 #Define : 0
% 4.36/2.02 #Split : 0
% 4.36/2.02 #Chain : 0
% 4.36/2.02 #Close : 0
% 4.36/2.02
% 4.36/2.02 Ordering : KBO
% 4.36/2.02
% 4.36/2.02 Simplification rules
% 4.36/2.02 ----------------------
% 4.36/2.02 #Subsume : 9
% 4.36/2.02 #Demod : 13
% 4.36/2.02 #Tautology : 52
% 4.36/2.02 #SimpNegUnit : 1
% 4.36/2.02 #BackRed : 0
% 4.36/2.02
% 4.36/2.02 #Partial instantiations: 0
% 4.36/2.02 #Strategies tried : 1
% 4.36/2.02
% 4.36/2.02 Timing (in seconds)
% 4.36/2.02 ----------------------
% 4.36/2.02 Preprocessing : 0.58
% 4.36/2.02 Parsing : 0.31
% 4.36/2.02 CNF conversion : 0.05
% 4.36/2.02 Main loop : 0.35
% 4.36/2.02 Inferencing : 0.15
% 4.36/2.02 Reduction : 0.08
% 4.36/2.02 Demodulation : 0.05
% 4.36/2.03 BG Simplification : 0.03
% 4.36/2.03 Subsumption : 0.07
% 4.36/2.03 Abstraction : 0.02
% 4.36/2.03 MUC search : 0.00
% 4.36/2.03 Cooper : 0.00
% 4.36/2.03 Total : 0.98
% 4.36/2.03 Index Insertion : 0.00
% 4.36/2.03 Index Deletion : 0.00
% 4.36/2.03 Index Matching : 0.00
% 4.36/2.03 BG Taut test : 0.00
%------------------------------------------------------------------------------