TSTP Solution File: NUN066+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 10:53:21 EDT 2023
% Result : Theorem 81.83s 65.45s
% Output : CNFRefutation 81.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 82 ( 19 unt; 28 typ; 0 def)
% Number of atoms : 113 ( 48 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 38 ~; 48 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 27 >; 15 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 1 con; 0-2 aty)
% Number of variables : 85 (; 76 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > r1 > #nlpp > #skF_11 > #skF_21 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_24 > #skF_19 > #skF_22 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #skF_23 > #skF_13 > #skF_17 > #skF_14 > #skF_7 > #skF_9 > #skF_5 > #skF_4 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r2,type,
r2: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(r3,type,
r3: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(r4,type,
r4: ( $i * $i * $i ) > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(r1,type,
r1: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(f_63,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& ( X19 != Y24 ) )
| ( r1(X19)
& ( X19 = Y24 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
tff(f_114,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& ( Y5 = Y4 ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
tff(f_180,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| ( Y20 != Y10 ) )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
tff(f_87,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( ~ r3(X13,X14,X15)
& ( X15 != Y22 ) )
| ( r3(X13,X14,X15)
& ( X15 = Y22 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
tff(f_149,axiom,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& ( Y9 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
tff(f_205,negated_conjecture,
~ ? [Y1] :
( ! [Y2] :
( ! [Y3] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y3) )
| ~ r2(Y3,Y2) )
| ( Y1 != Y2 ) )
& ! [Y5] :
( ~ r1(Y5)
| ( Y1 != Y5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
tff(f_141,axiom,
! [X3,X10] :
( ! [Y12] :
( ! [Y13] :
( ~ r2(X3,Y13)
| ( Y13 != Y12 ) )
| ~ r2(X10,Y12) )
| ( X3 = X10 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
tff(c_7,plain,
r1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_464,plain,
! [X1_157,X8_158] : r2('#skF_8'(X1_157,X8_158),'#skF_5'(X1_157,X8_158)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_82,plain,
! [X7_80,Y20_83] :
( ~ r2(X7_80,Y20_83)
| ~ r1(Y20_83) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_472,plain,
! [X1_157,X8_158] : ~ r1('#skF_5'(X1_157,X8_158)),
inference(resolution,[status(thm)],[c_464,c_82]) ).
tff(c_38,plain,
! [X1_23,X8_24] : r3(X1_23,X8_24,'#skF_8'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_615,plain,
! [X13_178,X14_179,X15_180] :
( ~ r3(X13_178,X14_179,X15_180)
| ( X15_180 = '#skF_3'(X13_178,X14_179) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_653,plain,
! [X1_182,X8_183] : ( '#skF_3'(X1_182,X8_183) = '#skF_8'(X1_182,X8_183) ),
inference(resolution,[status(thm)],[c_38,c_615]) ).
tff(c_64,plain,
! [X4_63] : r1('#skF_14'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_124,plain,
! [X19_102] :
( ~ r1(X19_102)
| ( X19_102 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_137,plain,
! [X4_63] : ( '#skF_14'(X4_63) = '#skF_1' ),
inference(resolution,[status(thm)],[c_64,c_124]) ).
tff(c_60,plain,
! [X4_63] : ( '#skF_13'(X4_63) = X4_63 ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_62,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),'#skF_13'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_100,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_62]) ).
tff(c_183,plain,
! [X4_63] : r3(X4_63,'#skF_1',X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_137,c_100]) ).
tff(c_636,plain,
! [X4_63] : ( '#skF_3'(X4_63,'#skF_1') = X4_63 ),
inference(resolution,[status(thm)],[c_183,c_615]) ).
tff(c_694,plain,
! [X1_188] : ( '#skF_8'(X1_188,'#skF_1') = X1_188 ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_636]) ).
tff(c_40,plain,
! [X1_23,X8_24] : r2('#skF_8'(X1_23,X8_24),'#skF_5'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_703,plain,
! [X1_188] : r2(X1_188,'#skF_5'(X1_188,'#skF_1')),
inference(superposition,[status(thm),theory(equality)],[c_694,c_40]) ).
tff(c_84,plain,
! [Y1_84] :
( ( '#skF_21'(Y1_84) = Y1_84 )
| ( '#skF_24'(Y1_84) = Y1_84 ) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_367,plain,
! [Y1_149] :
( r2('#skF_22'(Y1_149),'#skF_21'(Y1_149))
| ( '#skF_24'(Y1_149) = Y1_149 ) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_3352,plain,
! [Y1_279] :
( r2('#skF_22'(Y1_279),Y1_279)
| ( '#skF_24'(Y1_279) = Y1_279 )
| ( '#skF_24'(Y1_279) = Y1_279 ) ),
inference(superposition,[status(thm),theory(equality)],[c_84,c_367]) ).
tff(c_58,plain,
! [X3_55,X10_56,Y13_62] :
( ( X3_55 = X10_56 )
| ~ r2(X10_56,Y13_62)
| ~ r2(X3_55,Y13_62) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_5405,plain,
! [X3_319,Y1_320] :
( ( X3_319 = '#skF_22'(Y1_320) )
| ~ r2(X3_319,Y1_320)
| ( '#skF_24'(Y1_320) = Y1_320 ) ),
inference(resolution,[status(thm)],[c_3352,c_58]) ).
tff(c_5451,plain,
! [X1_188] :
( ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 )
| ( '#skF_24'('#skF_5'(X1_188,'#skF_1')) = '#skF_5'(X1_188,'#skF_1') ) ),
inference(resolution,[status(thm)],[c_703,c_5405]) ).
tff(c_132691,plain,
! [X1_1201] :
( ( '#skF_22'('#skF_5'(X1_1201,'#skF_1')) = X1_1201 )
| ( '#skF_24'('#skF_5'(X1_1201,'#skF_1')) = '#skF_5'(X1_1201,'#skF_1') ) ),
inference(resolution,[status(thm)],[c_703,c_5405]) ).
tff(c_92,plain,
! [Y1_84] :
( ( '#skF_21'(Y1_84) = Y1_84 )
| r1('#skF_24'(Y1_84)) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_132898,plain,
! [X1_1201] :
( ( '#skF_21'('#skF_5'(X1_1201,'#skF_1')) = '#skF_5'(X1_1201,'#skF_1') )
| r1('#skF_5'(X1_1201,'#skF_1'))
| ( '#skF_22'('#skF_5'(X1_1201,'#skF_1')) = X1_1201 ) ),
inference(superposition,[status(thm),theory(equality)],[c_132691,c_92]) ).
tff(c_285890,plain,
! [X1_2295] :
( ( '#skF_21'('#skF_5'(X1_2295,'#skF_1')) = '#skF_5'(X1_2295,'#skF_1') )
| ( '#skF_22'('#skF_5'(X1_2295,'#skF_1')) = X1_2295 ) ),
inference(negUnitSimplification,[status(thm)],[c_472,c_132898]) ).
tff(c_94,plain,
! [Y1_84] :
( r2('#skF_22'(Y1_84),'#skF_21'(Y1_84))
| r1('#skF_24'(Y1_84)) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_296377,plain,
! [X1_2328] :
( r2('#skF_22'('#skF_5'(X1_2328,'#skF_1')),'#skF_5'(X1_2328,'#skF_1'))
| r1('#skF_24'('#skF_5'(X1_2328,'#skF_1')))
| ( '#skF_22'('#skF_5'(X1_2328,'#skF_1')) = X1_2328 ) ),
inference(superposition,[status(thm),theory(equality)],[c_285890,c_94]) ).
tff(c_884,plain,
! [X3_208,X10_209,Y13_210] :
( ( X3_208 = X10_209 )
| ~ r2(X10_209,Y13_210)
| ~ r2(X3_208,Y13_210) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_901,plain,
! [X3_208,X1_188] :
( ( X3_208 = X1_188 )
| ~ r2(X3_208,'#skF_5'(X1_188,'#skF_1')) ),
inference(resolution,[status(thm)],[c_703,c_884]) ).
tff(c_296701,plain,
! [X1_2329] :
( r1('#skF_24'('#skF_5'(X1_2329,'#skF_1')))
| ( '#skF_22'('#skF_5'(X1_2329,'#skF_1')) = X1_2329 ) ),
inference(resolution,[status(thm)],[c_296377,c_901]) ).
tff(c_296737,plain,
! [X1_188] :
( r1('#skF_5'(X1_188,'#skF_1'))
| ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 )
| ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 ) ),
inference(superposition,[status(thm),theory(equality)],[c_5451,c_296701]) ).
tff(c_296878,plain,
! [X1_188] :
( ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 )
| ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 ) ),
inference(negUnitSimplification,[status(thm)],[c_472,c_296737]) ).
tff(c_296906,plain,
! [X1_188] : ( '#skF_22'('#skF_5'(X1_188,'#skF_1')) = X1_188 ),
inference(factorization,[status(thm),theory(equality)],[c_296878]) ).
tff(c_297768,plain,
! [X1_2331] : ( '#skF_22'('#skF_5'(X1_2331,'#skF_1')) = X1_2331 ),
inference(factorization,[status(thm),theory(equality)],[c_296878]) ).
tff(c_501,plain,
! [Y1_162] :
( r2('#skF_23'(Y1_162),'#skF_22'(Y1_162))
| ( '#skF_24'(Y1_162) = Y1_162 ) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_509,plain,
! [Y1_162] :
( ~ r1('#skF_22'(Y1_162))
| ( '#skF_24'(Y1_162) = Y1_162 ) ),
inference(resolution,[status(thm)],[c_501,c_82]) ).
tff(c_316132,plain,
! [X1_2357] :
( ~ r1(X1_2357)
| ( '#skF_24'('#skF_5'(X1_2357,'#skF_1')) = '#skF_5'(X1_2357,'#skF_1') ) ),
inference(superposition,[status(thm),theory(equality)],[c_297768,c_509]) ).
tff(c_241,plain,
! [Y1_134] :
( r2('#skF_23'(Y1_134),'#skF_22'(Y1_134))
| r1('#skF_24'(Y1_134)) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_245,plain,
! [Y1_134] :
( ~ r1('#skF_22'(Y1_134))
| r1('#skF_24'(Y1_134)) ),
inference(resolution,[status(thm)],[c_241,c_82]) ).
tff(c_316430,plain,
! [X1_2357] :
( ~ r1('#skF_22'('#skF_5'(X1_2357,'#skF_1')))
| r1('#skF_5'(X1_2357,'#skF_1'))
| ~ r1(X1_2357) ),
inference(superposition,[status(thm),theory(equality)],[c_316132,c_245]) ).
tff(c_316723,plain,
! [X1_2357] :
( ~ r1(X1_2357)
| r1('#skF_5'(X1_2357,'#skF_1'))
| ~ r1(X1_2357) ),
inference(demodulation,[status(thm),theory(equality)],[c_296906,c_316430]) ).
tff(c_316752,plain,
! [X1_2358] :
( ~ r1(X1_2358)
| ~ r1(X1_2358) ),
inference(negUnitSimplification,[status(thm)],[c_472,c_316723]) ).
tff(c_316926,plain,
~ r1('#skF_1'),
inference(resolution,[status(thm)],[c_7,c_316752]) ).
tff(c_317016,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7,c_316926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n005.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 18:37:41 EDT 2023
% 0.13/0.36 % CPUTime :
% 81.83/65.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 81.83/65.46
% 81.83/65.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 81.83/65.50
% 81.83/65.50 Inference rules
% 81.83/65.50 ----------------------
% 81.83/65.50 #Ref : 0
% 81.83/65.50 #Sup : 94741
% 81.83/65.50 #Fact : 8
% 81.83/65.50 #Define : 0
% 81.83/65.50 #Split : 1
% 81.83/65.50 #Chain : 0
% 81.83/65.50 #Close : 0
% 81.83/65.50
% 81.83/65.50 Ordering : KBO
% 81.83/65.50
% 81.83/65.50 Simplification rules
% 81.83/65.50 ----------------------
% 81.83/65.50 #Subsume : 31432
% 81.83/65.50 #Demod : 26949
% 81.83/65.50 #Tautology : 16136
% 81.83/65.50 #SimpNegUnit : 773
% 81.83/65.50 #BackRed : 38
% 81.83/65.50
% 81.83/65.50 #Partial instantiations: 0
% 81.83/65.50 #Strategies tried : 1
% 81.83/65.50
% 81.83/65.50 Timing (in seconds)
% 81.83/65.50 ----------------------
% 81.83/65.50 Preprocessing : 0.55
% 81.83/65.50 Parsing : 0.26
% 81.83/65.50 CNF conversion : 0.05
% 81.83/65.50 Main loop : 63.87
% 81.83/65.50 Inferencing : 6.43
% 81.83/65.50 Reduction : 21.37
% 81.83/65.50 Demodulation : 17.11
% 81.83/65.50 BG Simplification : 0.56
% 81.83/65.50 Subsumption : 30.27
% 81.83/65.50 Abstraction : 1.07
% 81.83/65.50 MUC search : 0.00
% 81.83/65.50 Cooper : 0.00
% 81.83/65.50 Total : 64.48
% 81.83/65.50 Index Insertion : 0.00
% 81.83/65.50 Index Deletion : 0.00
% 81.83/65.50 Index Matching : 0.00
% 81.83/65.50 BG Taut test : 0.00
%------------------------------------------------------------------------------