TSTP Solution File: NUN080+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN080+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 : n008.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 10:53:24 EDT 2023
% Result : Theorem 4.11s 2.07s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 72 ( 31 unt; 24 typ; 0 def)
% Number of atoms : 88 ( 29 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 65 ( 25 ~; 15 |; 25 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 23 >; 15 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 99 (; 76 !; 23 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > r1 > #nlpp > #skF_11 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_19 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #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_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_19',type,
'#skF_19': $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_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_160,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& ( Y8 = Y18 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
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_99,axiom,
! [X16,X17] :
? [Y23] :
! [X18] :
( ( ~ r4(X16,X17,X18)
& ( X18 != Y23 ) )
| ( r4(X16,X17,X18)
& ( X18 = Y23 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
tff(f_128,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& ( Y3 = Y2 ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
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_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_75,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& ( X12 != Y21 ) )
| ( r2(X11,X12)
& ( X12 = Y21 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
tff(f_196,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( ( Y3 = Y2 )
& ? [Y4] :
( r3(Y1,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplustwoeqy) ).
tff(c_68,plain,
! [X5_68] : r1('#skF_17'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_111,plain,
! [X19_107] :
( ~ r1(X19_107)
| ( X19_107 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_126,plain,
! [X5_68] : ( '#skF_17'(X5_68) = '#skF_1' ),
inference(resolution,[status(thm)],[c_68,c_111]) ).
tff(c_72,plain,
! [X5_68] : r1('#skF_16'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_124,plain,
! [X5_68] : ( '#skF_16'(X5_68) = '#skF_1' ),
inference(resolution,[status(thm)],[c_72,c_111]) ).
tff(c_66,plain,
! [X5_68] : ( '#skF_15'(X5_68) = '#skF_17'(X5_68) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_70,plain,
! [X5_68] : r4(X5_68,'#skF_16'(X5_68),'#skF_15'(X5_68)),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_85,plain,
! [X5_68] : r4(X5_68,'#skF_16'(X5_68),'#skF_17'(X5_68)),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_70]) ).
tff(c_216,plain,
! [X5_68] : r4(X5_68,'#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_85]) ).
tff(c_677,plain,
! [X16_210,X17_211,X18_212] :
( ~ r4(X16_210,X17_211,X18_212)
| ( X18_212 = '#skF_4'(X16_210,X17_211) ) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_690,plain,
! [X5_68] : ( '#skF_4'(X5_68,'#skF_1') = '#skF_1' ),
inference(resolution,[status(thm)],[c_216,c_677]) ).
tff(c_48,plain,
! [X2_39,X9_40] : r4(X2_39,X9_40,'#skF_12'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_687,plain,
! [X2_39,X9_40] : ( '#skF_12'(X2_39,X9_40) = '#skF_4'(X2_39,X9_40) ),
inference(resolution,[status(thm)],[c_48,c_677]) ).
tff(c_50,plain,
! [X2_39,X9_40] : r3('#skF_12'(X2_39,X9_40),X2_39,'#skF_9'(X2_39,X9_40)),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_739,plain,
! [X2_224,X9_225] : r3('#skF_4'(X2_224,X9_225),X2_224,'#skF_9'(X2_224,X9_225)),
inference(demodulation,[status(thm),theory(equality)],[c_687,c_50]) ).
tff(c_742,plain,
! [X5_68] : r3('#skF_1',X5_68,'#skF_9'(X5_68,'#skF_1')),
inference(superposition,[status(thm),theory(equality)],[c_690,c_739]) ).
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_522,plain,
! [X13_189,X14_190,X15_191] :
( ~ r3(X13_189,X14_190,X15_191)
| ( X15_191 = '#skF_3'(X13_189,X14_190) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_552,plain,
! [X1_193,X8_194] : ( '#skF_3'(X1_193,X8_194) = '#skF_8'(X1_193,X8_194) ),
inference(resolution,[status(thm)],[c_38,c_522]) ).
tff(c_64,plain,
! [X4_63] : r1('#skF_14'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_125,plain,
! [X4_63] : ( '#skF_14'(X4_63) = '#skF_1' ),
inference(resolution,[status(thm)],[c_64,c_111]) ).
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_86,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_62]) ).
tff(c_205,plain,
! [X4_63] : r3(X4_63,'#skF_1',X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_125,c_86]) ).
tff(c_535,plain,
! [X4_63] : ( '#skF_3'(X4_63,'#skF_1') = X4_63 ),
inference(resolution,[status(thm)],[c_205,c_522]) ).
tff(c_569,plain,
! [X1_197] : ( '#skF_8'(X1_197,'#skF_1') = X1_197 ),
inference(superposition,[status(thm),theory(equality)],[c_552,c_535]) ).
tff(c_324,plain,
! [X1_155,X8_156] : r2('#skF_8'(X1_155,X8_156),'#skF_5'(X1_155,X8_156)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_14,plain,
! [X11_3,X12_8] :
( ~ r2(X11_3,X12_8)
| ( X12_8 = '#skF_2'(X11_3) ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_333,plain,
! [X1_155,X8_156] : ( '#skF_2'('#skF_8'(X1_155,X8_156)) = '#skF_5'(X1_155,X8_156) ),
inference(resolution,[status(thm)],[c_324,c_14]) ).
tff(c_575,plain,
! [X1_197] : ( '#skF_2'(X1_197) = '#skF_5'(X1_197,'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_569,c_333]) ).
tff(c_16,plain,
! [X11_3] : r2(X11_3,'#skF_2'(X11_3)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_138,plain,
! [Y3_109,Y4_113,Y5_111,Y1_110,Y6_112] :
( ~ r2(Y6_112,Y5_111)
| ~ r1(Y6_112)
| ~ r2(Y5_111,Y4_113)
| ~ r3(Y1_110,Y4_113,Y3_109) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_192,plain,
! [X11_128,Y4_129,Y1_130,Y3_131] :
( ~ r1(X11_128)
| ~ r2('#skF_2'(X11_128),Y4_129)
| ~ r3(Y1_130,Y4_129,Y3_131) ),
inference(resolution,[status(thm)],[c_16,c_138]) ).
tff(c_204,plain,
! [X11_128,Y1_130,Y3_131] :
( ~ r1(X11_128)
| ~ r3(Y1_130,'#skF_2'('#skF_2'(X11_128)),Y3_131) ),
inference(resolution,[status(thm)],[c_16,c_192]) ).
tff(c_995,plain,
! [X11_244,Y1_245,Y3_246] :
( ~ r1(X11_244)
| ~ r3(Y1_245,'#skF_5'('#skF_5'(X11_244,'#skF_1'),'#skF_1'),Y3_246) ),
inference(demodulation,[status(thm),theory(equality)],[c_575,c_575,c_204]) ).
tff(c_1011,plain,
! [X11_244] : ~ r1(X11_244),
inference(resolution,[status(thm)],[c_742,c_995]) ).
tff(c_7,plain,
r1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1011,c_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN080+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:39:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.11/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/2.08
% 4.32/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.32/2.11
% 4.32/2.11 Inference rules
% 4.32/2.11 ----------------------
% 4.32/2.11 #Ref : 0
% 4.32/2.11 #Sup : 227
% 4.32/2.11 #Fact : 0
% 4.32/2.11 #Define : 0
% 4.32/2.11 #Split : 0
% 4.32/2.11 #Chain : 0
% 4.32/2.11 #Close : 0
% 4.32/2.11
% 4.32/2.11 Ordering : KBO
% 4.32/2.11
% 4.32/2.11 Simplification rules
% 4.32/2.11 ----------------------
% 4.32/2.11 #Subsume : 56
% 4.32/2.11 #Demod : 71
% 4.32/2.11 #Tautology : 103
% 4.32/2.11 #SimpNegUnit : 9
% 4.32/2.11 #BackRed : 27
% 4.32/2.11
% 4.32/2.11 #Partial instantiations: 0
% 4.32/2.11 #Strategies tried : 1
% 4.32/2.11
% 4.32/2.11 Timing (in seconds)
% 4.32/2.11 ----------------------
% 4.32/2.11 Preprocessing : 0.54
% 4.32/2.11 Parsing : 0.26
% 4.32/2.11 CNF conversion : 0.05
% 4.32/2.11 Main loop : 0.48
% 4.32/2.11 Inferencing : 0.18
% 4.32/2.11 Reduction : 0.14
% 4.32/2.11 Demodulation : 0.10
% 4.32/2.11 BG Simplification : 0.03
% 4.32/2.11 Subsumption : 0.09
% 4.32/2.11 Abstraction : 0.02
% 4.32/2.11 MUC search : 0.00
% 4.32/2.11 Cooper : 0.00
% 4.32/2.11 Total : 1.07
% 4.32/2.11 Index Insertion : 0.00
% 4.32/2.11 Index Deletion : 0.00
% 4.32/2.11 Index Matching : 0.00
% 4.32/2.11 BG Taut test : 0.00
%------------------------------------------------------------------------------