TSTP Solution File: NUN062+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 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 : 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 10:53:20 EDT 2023
% Result : Theorem 4.42s 2.21s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 35
% Syntax : Number of formulae : 57 ( 10 unt; 27 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 34 ~; 25 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 25 >; 17 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 2 con; 0-2 aty)
% Number of variables : 59 (; 50 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > id > r1 > #nlpp > #skF_11 > #skF_22 > #skF_16 > #skF_6 > #skF_2 > #skF_18 > #skF_19 > #skF_3 > #skF_15 > #skF_12 > #skF_10 > #skF_1 > #skF_8 > #skF_21 > #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_22',type,
'#skF_22': ( $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(id,type,
id: ( $i * $i ) > $o ).
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_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_102,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
tff(f_197,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( id(Y5,Y4)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
tff(f_279,negated_conjecture,
~ ! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ id(Y1,Y4)
| ~ r1(Y4) )
& ? [Y3] :
( id(Y3,Y2)
& r3(X1,Y1,Y3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbersid) ).
tff(f_128,axiom,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
tff(f_64,axiom,
? [Y24] :
! [X19] :
( ( id(X19,Y24)
& r1(X19) )
| ( ~ r1(X19)
& ~ id(X19,Y24) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
tff(f_107,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
tff(f_76,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( id(X12,Y21)
& r2(X11,X12) )
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
tff(f_263,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
tff(c_34,plain,
! [X20_23] : id(X20_23,X20_23),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_192,plain,
! [X1_144,X8_145] : r3(X1_144,X8_145,'#skF_8'(X1_144,X8_145)),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_118,plain,
! [Y2_114,Y1_115,Y3_118] :
( r1('#skF_22'(Y2_114,Y1_115))
| ~ r3('#skF_21',Y1_115,Y3_118)
| ~ id(Y3_118,Y2_114) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_393,plain,
! [Y2_173,X8_174] :
( r1('#skF_22'(Y2_173,X8_174))
| ~ id('#skF_8'('#skF_21',X8_174),Y2_173) ),
inference(resolution,[status(thm)],[c_192,c_118]) ).
tff(c_418,plain,
! [X8_174] : r1('#skF_22'('#skF_8'('#skF_21',X8_174),X8_174)),
inference(resolution,[status(thm)],[c_34,c_393]) ).
tff(c_120,plain,
! [Y1_115,Y2_114,Y3_118] :
( id(Y1_115,'#skF_22'(Y2_114,Y1_115))
| ~ r3('#skF_21',Y1_115,Y3_118)
| ~ id(Y3_118,Y2_114) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_464,plain,
! [X8_185,Y2_186] :
( id(X8_185,'#skF_22'(Y2_186,X8_185))
| ~ id('#skF_8'('#skF_21',X8_185),Y2_186) ),
inference(resolution,[status(thm)],[c_192,c_120]) ).
tff(c_485,plain,
! [X8_187] : id(X8_187,'#skF_22'('#skF_8'('#skF_21',X8_187),X8_187)),
inference(resolution,[status(thm)],[c_34,c_464]) ).
tff(c_44,plain,
! [X27_30,X26_29] :
( ~ r1(X27_30)
| r1(X26_29)
| ~ id(X26_29,X27_30) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_495,plain,
! [X8_187] :
( ~ r1('#skF_22'('#skF_8'('#skF_21',X8_187),X8_187))
| r1(X8_187) ),
inference(resolution,[status(thm)],[c_485,c_44]) ).
tff(c_505,plain,
! [X8_187] : r1(X8_187),
inference(demodulation,[status(thm),theory(equality)],[c_418,c_495]) ).
tff(c_8,plain,
! [X19_2] :
( id(X19_2,'#skF_1')
| ~ r1(X19_2) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_532,plain,
! [X19_2] : id(X19_2,'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_505,c_8]) ).
tff(c_146,plain,
! [X22_134,X21_135] :
( id(X22_134,X21_135)
| ~ id(X21_135,X22_134) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_155,plain,
! [X19_2] :
( id('#skF_1',X19_2)
| ~ r1(X19_2) ),
inference(resolution,[status(thm)],[c_8,c_146]) ).
tff(c_257,plain,
! [X11_155,X12_156] :
( r2(X11_155,X12_156)
| ~ id(X12_156,'#skF_2'(X11_155)) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_274,plain,
! [X11_155] :
( r2(X11_155,'#skF_1')
| ~ r1('#skF_2'(X11_155)) ),
inference(resolution,[status(thm)],[c_155,c_257]) ).
tff(c_520,plain,
! [X11_155] : r2(X11_155,'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_505,c_274]) ).
tff(c_116,plain,
! [X7_104,Y10_105,Y20_107] :
( ~ r2(X7_104,Y10_105)
| ~ r1(Y20_107)
| ~ id(Y20_107,Y10_105) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_611,plain,
! [X7_202,Y10_203,Y20_204] :
( ~ r2(X7_202,Y10_203)
| ~ id(Y20_204,Y10_203) ),
inference(demodulation,[status(thm),theory(equality)],[c_505,c_116]) ).
tff(c_615,plain,
! [Y20_204] : ~ id(Y20_204,'#skF_1'),
inference(resolution,[status(thm)],[c_520,c_611]) ).
tff(c_630,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 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
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 18:35:57 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.42/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/2.21
% 4.42/2.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.70/2.24
% 4.70/2.24 Inference rules
% 4.70/2.24 ----------------------
% 4.70/2.24 #Ref : 0
% 4.70/2.24 #Sup : 100
% 4.70/2.24 #Fact : 0
% 4.70/2.24 #Define : 0
% 4.70/2.24 #Split : 1
% 4.70/2.24 #Chain : 0
% 4.70/2.24 #Close : 0
% 4.70/2.24
% 4.70/2.24 Ordering : KBO
% 4.70/2.24
% 4.70/2.24 Simplification rules
% 4.70/2.24 ----------------------
% 4.70/2.24 #Subsume : 5
% 4.70/2.24 #Demod : 55
% 4.70/2.24 #Tautology : 63
% 4.70/2.24 #SimpNegUnit : 0
% 4.70/2.24 #BackRed : 3
% 4.70/2.24
% 4.70/2.24 #Partial instantiations: 0
% 4.70/2.24 #Strategies tried : 1
% 4.70/2.24
% 4.70/2.24 Timing (in seconds)
% 4.70/2.24 ----------------------
% 4.70/2.25 Preprocessing : 0.59
% 4.70/2.25 Parsing : 0.30
% 4.70/2.25 CNF conversion : 0.06
% 4.70/2.25 Main loop : 0.43
% 4.70/2.25 Inferencing : 0.17
% 4.70/2.25 Reduction : 0.12
% 4.70/2.25 Demodulation : 0.09
% 4.70/2.25 BG Simplification : 0.04
% 4.70/2.25 Subsumption : 0.10
% 4.70/2.25 Abstraction : 0.01
% 4.70/2.25 MUC search : 0.00
% 4.70/2.25 Cooper : 0.00
% 4.70/2.25 Total : 1.08
% 4.70/2.25 Index Insertion : 0.00
% 4.70/2.25 Index Deletion : 0.00
% 4.70/2.25 Index Matching : 0.00
% 4.70/2.25 BG Taut test : 0.00
%------------------------------------------------------------------------------