TSTP Solution File: NUN067+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUN067+1 : 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/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 : 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 10:53:21 EDT 2023
% Result : Theorem 3.67s 1.83s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 48 ( 8 unt; 26 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 27 ~; 18 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 25 >; 16 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-2 aty)
% Number of variables : 36 (; 33 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4 > r3 > r2 > id > r1 > #nlpp > #skF_11 > #skF_21 > #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_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_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(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_272,negated_conjecture,
~ ? [Y1] :
! [Y2] :
( ~ id(Y1,Y2)
| ~ r1(Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexistid) ).
tff(f_127,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_63,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_106,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
tff(f_75,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_262,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_118,plain,
! [Y1_108] : r1('#skF_21'(Y1_108)),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_120,plain,
! [Y1_108] : id(Y1_108,'#skF_21'(Y1_108)),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_201,plain,
! [X27_138,X26_139] :
( ~ r1(X27_138)
| r1(X26_139)
| ~ id(X26_139,X27_138) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_225,plain,
! [Y1_108] :
( ~ r1('#skF_21'(Y1_108))
| r1(Y1_108) ),
inference(resolution,[status(thm)],[c_120,c_201]) ).
tff(c_245,plain,
! [Y1_108] : r1(Y1_108),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_225]) ).
tff(c_8,plain,
! [X19_2] :
( id(X19_2,'#skF_1')
| ~ r1(X19_2) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_303,plain,
! [X19_2] : id(X19_2,'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_245,c_8]) ).
tff(c_147,plain,
! [X22_124,X21_125] :
( id(X22_124,X21_125)
| ~ id(X21_125,X22_124) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_158,plain,
! [X19_2] :
( id('#skF_1',X19_2)
| ~ r1(X19_2) ),
inference(resolution,[status(thm)],[c_8,c_147]) ).
tff(c_298,plain,
! [X19_2] : id('#skF_1',X19_2),
inference(demodulation,[status(thm),theory(equality)],[c_245,c_158]) ).
tff(c_338,plain,
! [X11_149,X12_150] :
( r2(X11_149,X12_150)
| ~ id(X12_150,'#skF_2'(X11_149)) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_355,plain,
! [X11_149] : r2(X11_149,'#skF_1'),
inference(resolution,[status(thm)],[c_298,c_338]) ).
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_262]) ).
tff(c_395,plain,
! [X7_165,Y10_166,Y20_167] :
( ~ r2(X7_165,Y10_166)
| ~ id(Y20_167,Y10_166) ),
inference(demodulation,[status(thm),theory(equality)],[c_245,c_116]) ).
tff(c_403,plain,
! [Y20_167] : ~ id(Y20_167,'#skF_1'),
inference(resolution,[status(thm)],[c_355,c_395]) ).
tff(c_416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_303,c_403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN067+1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n010.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 18:28:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.67/1.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/1.83
% 3.67/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.67/1.86
% 3.67/1.86 Inference rules
% 3.67/1.86 ----------------------
% 3.67/1.86 #Ref : 0
% 3.67/1.86 #Sup : 53
% 3.67/1.86 #Fact : 0
% 3.67/1.86 #Define : 0
% 3.67/1.86 #Split : 0
% 3.67/1.86 #Chain : 0
% 3.67/1.86 #Close : 0
% 3.67/1.86
% 3.67/1.86 Ordering : KBO
% 3.67/1.86
% 3.67/1.86 Simplification rules
% 3.67/1.86 ----------------------
% 3.67/1.86 #Subsume : 2
% 3.67/1.86 #Demod : 51
% 3.67/1.86 #Tautology : 56
% 3.67/1.86 #SimpNegUnit : 0
% 3.67/1.86 #BackRed : 2
% 3.67/1.86
% 3.67/1.86 #Partial instantiations: 0
% 3.67/1.86 #Strategies tried : 1
% 3.67/1.86
% 3.67/1.86 Timing (in seconds)
% 3.67/1.86 ----------------------
% 3.67/1.86 Preprocessing : 0.51
% 3.67/1.86 Parsing : 0.28
% 3.67/1.86 CNF conversion : 0.05
% 3.67/1.86 Main loop : 0.31
% 3.67/1.86 Inferencing : 0.12
% 3.67/1.86 Reduction : 0.09
% 3.67/1.86 Demodulation : 0.07
% 3.67/1.86 BG Simplification : 0.02
% 3.67/1.86 Subsumption : 0.06
% 3.67/1.86 Abstraction : 0.01
% 3.67/1.86 MUC search : 0.00
% 3.67/1.86 Cooper : 0.00
% 3.67/1.86 Total : 0.86
% 3.67/1.86 Index Insertion : 0.00
% 3.67/1.86 Index Deletion : 0.00
% 3.67/1.86 Index Matching : 0.00
% 3.67/1.86 BG Taut test : 0.00
%------------------------------------------------------------------------------