TSTP Solution File: NUN085+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN085+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 : n010.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 10:53:25 EDT 2023
% Result : Theorem 4.36s 2.14s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 92 ( 49 unt; 29 typ; 0 def)
% Number of atoms : 92 ( 40 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 17 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 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 : 25 ( 25 usr; 6 con; 0-2 aty)
% Number of variables : 76 (; 67 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > r1 > #nlpp > #skF_11 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_19 > #skF_25 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #skF_21 > #skF_13 > #skF_17 > #skF_22 > #skF_14 > #skF_24 > #skF_23 > #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_25',type,
'#skF_25': $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('#skF_21',type,
'#skF_21': $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_22',type,
'#skF_22': $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_23',type,
'#skF_23': $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_205,negated_conjecture,
~ ! [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r3(Y3,Y2,Y1) )
| ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y2) ) )
| ! [Y5] :
( ( Y1 != Y5 )
| ~ r1(Y5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero) ).
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_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_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_180,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| ( Y20 != Y10 ) )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
tff(c_94,plain,
r1('#skF_23'),
inference(cnfTransformation,[status(thm)],[f_205]) ).
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_501,plain,
! [X13_144,X14_145,X15_146] :
( ~ r3(X13_144,X14_145,X15_146)
| ( X15_146 = '#skF_3'(X13_144,X14_145) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_553,plain,
! [X1_151,X8_152] : ( '#skF_3'(X1_151,X8_152) = '#skF_8'(X1_151,X8_152) ),
inference(resolution,[status(thm)],[c_38,c_501]) ).
tff(c_117,plain,
! [X19_97] :
( ~ r1(X19_97)
| ( X19_97 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_146,plain,
'#skF_1' = '#skF_23',
inference(resolution,[status(thm)],[c_94,c_117]) ).
tff(c_90,plain,
r1('#skF_24'),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_143,plain,
'#skF_1' = '#skF_24',
inference(resolution,[status(thm)],[c_90,c_117]) ).
tff(c_168,plain,
'#skF_24' = '#skF_23',
inference(demodulation,[status(thm),theory(equality)],[c_146,c_143]) ).
tff(c_86,plain,
'#skF_25' = '#skF_21',
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_84,plain,
r1('#skF_25'),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_95,plain,
r1('#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_86,c_84]) ).
tff(c_142,plain,
'#skF_1' = '#skF_21',
inference(resolution,[status(thm)],[c_95,c_117]) ).
tff(c_154,plain,
'#skF_21' = '#skF_24',
inference(demodulation,[status(thm),theory(equality)],[c_143,c_142]) ).
tff(c_92,plain,
r3('#skF_23','#skF_22','#skF_21'),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_173,plain,
r3('#skF_23','#skF_22','#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_92]) ).
tff(c_244,plain,
r3('#skF_23','#skF_22','#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_173]) ).
tff(c_518,plain,
'#skF_3'('#skF_23','#skF_22') = '#skF_23',
inference(resolution,[status(thm)],[c_244,c_501]) ).
tff(c_559,plain,
'#skF_8'('#skF_23','#skF_22') = '#skF_23',
inference(superposition,[status(thm),theory(equality)],[c_553,c_518]) ).
tff(c_64,plain,
! [X4_63] : r1('#skF_14'(X4_63)),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_139,plain,
! [X4_63] : ( '#skF_14'(X4_63) = '#skF_1' ),
inference(resolution,[status(thm)],[c_64,c_117]) ).
tff(c_198,plain,
! [X4_63] : ( '#skF_14'(X4_63) = '#skF_23' ),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_139]) ).
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_97,plain,
! [X4_63] : r3(X4_63,'#skF_14'(X4_63),X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_62]) ).
tff(c_260,plain,
! [X4_63] : r3(X4_63,'#skF_23',X4_63),
inference(demodulation,[status(thm),theory(equality)],[c_198,c_97]) ).
tff(c_517,plain,
! [X4_63] : ( '#skF_3'(X4_63,'#skF_23') = X4_63 ),
inference(resolution,[status(thm)],[c_260,c_501]) ).
tff(c_587,plain,
! [X4_153] : ( '#skF_8'(X4_153,'#skF_23') = X4_153 ),
inference(superposition,[status(thm),theory(equality)],[c_517,c_553]) ).
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_626,plain,
! [X4_156] : r2(X4_156,'#skF_5'(X4_156,'#skF_23')),
inference(superposition,[status(thm),theory(equality)],[c_587,c_40]) ).
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_666,plain,
! [X4_161] : ( '#skF_2'(X4_161) = '#skF_5'(X4_161,'#skF_23') ),
inference(resolution,[status(thm)],[c_626,c_14]) ).
tff(c_88,plain,
r2('#skF_24','#skF_22'),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_182,plain,
r2('#skF_23','#skF_22'),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_88]) ).
tff(c_308,plain,
! [X11_129,X12_130] :
( ~ r2(X11_129,X12_130)
| ( X12_130 = '#skF_2'(X11_129) ) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_323,plain,
'#skF_2'('#skF_23') = '#skF_22',
inference(resolution,[status(thm)],[c_182,c_308]) ).
tff(c_672,plain,
'#skF_5'('#skF_23','#skF_23') = '#skF_22',
inference(superposition,[status(thm),theory(equality)],[c_666,c_323]) ).
tff(c_633,plain,
! [X4_156] : ( '#skF_2'(X4_156) = '#skF_5'(X4_156,'#skF_23') ),
inference(resolution,[status(thm)],[c_626,c_14]) ).
tff(c_46,plain,
! [X8_24,X1_23] : r2(X8_24,'#skF_7'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_321,plain,
! [X1_23,X8_24] : ( '#skF_7'(X1_23,X8_24) = '#skF_2'(X8_24) ),
inference(resolution,[status(thm)],[c_46,c_308]) ).
tff(c_661,plain,
! [X1_23,X8_24] : ( '#skF_7'(X1_23,X8_24) = '#skF_5'(X8_24,'#skF_23') ),
inference(demodulation,[status(thm),theory(equality)],[c_633,c_321]) ).
tff(c_42,plain,
! [X1_23,X8_24] : ( '#skF_6'(X1_23,X8_24) = '#skF_5'(X1_23,X8_24) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_44,plain,
! [X1_23,X8_24] : r3(X1_23,'#skF_7'(X1_23,X8_24),'#skF_6'(X1_23,X8_24)),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_99,plain,
! [X1_23,X8_24] : r3(X1_23,'#skF_7'(X1_23,X8_24),'#skF_5'(X1_23,X8_24)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_879,plain,
! [X1_186,X8_187] : r3(X1_186,'#skF_5'(X8_187,'#skF_23'),'#skF_5'(X1_186,X8_187)),
inference(demodulation,[status(thm),theory(equality)],[c_661,c_99]) ).
tff(c_885,plain,
r3('#skF_23','#skF_5'('#skF_23','#skF_23'),'#skF_22'),
inference(superposition,[status(thm),theory(equality)],[c_672,c_879]) ).
tff(c_889,plain,
r3('#skF_23','#skF_22','#skF_22'),
inference(demodulation,[status(thm),theory(equality)],[c_672,c_885]) ).
tff(c_514,plain,
! [X1_23,X8_24] : ( '#skF_3'(X1_23,X8_24) = '#skF_8'(X1_23,X8_24) ),
inference(resolution,[status(thm)],[c_38,c_501]) ).
tff(c_23,plain,
! [X13_9,X14_10,X15_15] :
( ~ r3(X13_9,X14_10,X15_15)
| ( X15_15 = '#skF_3'(X13_9,X14_10) ) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_1059,plain,
! [X13_198,X14_199,X15_200] :
( ~ r3(X13_198,X14_199,X15_200)
| ( X15_200 = '#skF_8'(X13_198,X14_199) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_514,c_23]) ).
tff(c_1077,plain,
'#skF_8'('#skF_23','#skF_22') = '#skF_22',
inference(resolution,[status(thm)],[c_889,c_1059]) ).
tff(c_1096,plain,
'#skF_22' = '#skF_23',
inference(demodulation,[status(thm),theory(equality)],[c_559,c_1077]) ).
tff(c_245,plain,
! [X7_106,Y20_107] :
( ~ r2(X7_106,Y20_107)
| ~ r1(Y20_107) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_256,plain,
~ r1('#skF_22'),
inference(resolution,[status(thm)],[c_182,c_245]) ).
tff(c_1118,plain,
~ r1('#skF_23'),
inference(demodulation,[status(thm),theory(equality)],[c_1096,c_256]) ).
tff(c_1128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94,c_1118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN085+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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 18:28:13 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.36/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.36/2.14
% 4.36/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.51/2.18
% 4.51/2.18 Inference rules
% 4.51/2.18 ----------------------
% 4.51/2.18 #Ref : 0
% 4.51/2.18 #Sup : 249
% 4.51/2.18 #Fact : 0
% 4.51/2.18 #Define : 0
% 4.51/2.18 #Split : 1
% 4.51/2.18 #Chain : 0
% 4.51/2.18 #Close : 0
% 4.51/2.18
% 4.51/2.18 Ordering : KBO
% 4.51/2.18
% 4.51/2.18 Simplification rules
% 4.51/2.18 ----------------------
% 4.51/2.18 #Subsume : 38
% 4.51/2.18 #Demod : 142
% 4.51/2.18 #Tautology : 157
% 4.51/2.18 #SimpNegUnit : 0
% 4.51/2.18 #BackRed : 46
% 4.51/2.18
% 4.51/2.18 #Partial instantiations: 0
% 4.51/2.18 #Strategies tried : 1
% 4.51/2.18
% 4.51/2.18 Timing (in seconds)
% 4.51/2.18 ----------------------
% 4.51/2.18 Preprocessing : 0.55
% 4.51/2.18 Parsing : 0.27
% 4.51/2.18 CNF conversion : 0.05
% 4.51/2.18 Main loop : 0.51
% 4.51/2.18 Inferencing : 0.18
% 4.51/2.18 Reduction : 0.16
% 4.51/2.18 Demodulation : 0.12
% 4.51/2.18 BG Simplification : 0.03
% 4.51/2.18 Subsumption : 0.09
% 4.51/2.18 Abstraction : 0.02
% 4.51/2.18 MUC search : 0.00
% 4.51/2.18 Cooper : 0.00
% 4.51/2.18 Total : 1.13
% 4.51/2.18 Index Insertion : 0.00
% 4.51/2.18 Index Deletion : 0.00
% 4.51/2.18 Index Matching : 0.00
% 4.51/2.18 BG Taut test : 0.00
%------------------------------------------------------------------------------