TSTP Solution File: NUM624+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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  : 600s
% DateTime : Mon Jul 18 14:12:20 EDT 2022

% Result   : Theorem 172.55s 172.74s
% Output   : Refutation 172.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   22 (   4 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(55,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).

cnf(2860,hypothesis,
    ( ~ aElementOf0(X,xQ)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).

cnf(2865,hypothesis,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

cnf(2866,hypothesis,
    ( ~ aElementOf0(X,xQ)
    | sdtlseqdt0(xp,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

cnf(2867,hypothesis,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

cnf(2891,hypothesis,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).

cnf(2892,hypothesis,
    xx != szmzizndt0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).

cnf(2893,plain,
    xx != xp,
    inference('REWRITE',[status(thm)],[2892,2867,theory(equality)]) ).

cnf(2895,hypothesis,
    aElementOf0(xx,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).

cnf(2900,hypothesis,
    ( ~ aElementOf0(X,sdtlpdtrp0(xN,xm))
    | sdtlseqdt0(xx,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).

cnf(2906,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).

cnf(2954,plain,
    aElementOf0(xp,szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[2860,2865]) ).

cnf(2962,plain,
    sdtlseqdt0(xp,xx),
    inference('HYPERRESOLVE',[status(thm)],[2866,2891]) ).

cnf(3065,plain,
    sdtlseqdt0(xx,xp),
    inference('HYPERRESOLVE',[status(thm)],[2900,2906]) ).

cnf(21988,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,2962,2954,2895,2893]),3065]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 19:10:47 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44   (USE-FACTORING :POS)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44  * 
% 0.18/0.44  "."
% 0.18/0.44  * 
% 0.18/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T19:10:47
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-05T19:10:47
% 172.55/172.74  
% 172.55/172.74  
% 172.55/172.74  #||
% 172.55/172.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 172.55/172.74  % SZS output start Refutation
% See solution above
% 172.55/172.75  ||#
% 172.55/172.75  
% 172.55/172.75  ; Summary of computation:
% 172.55/172.75  ;     28803 formulas have been input or derived (from 2844 formulas).
% 172.55/172.75  ;     21988 (76%) were retained.  Of these,
% 172.55/172.75  ;          910 ( 4%) were simplified or subsumed later,
% 172.55/172.75  ;        21078 (96%) are still being kept.
% 172.55/172.75  ; 
% 172.55/172.75  ; Run time in seconds:
% 172.55/172.75  ;     0.048   0%   Read assertion file          (1 call)
% 172.55/172.75  ;     0.125   0%   Assert                       (121 calls)
% 172.55/172.75  ;     2.529   1%   Process new row              (28,301 calls)
% 172.55/172.75  ;   155.723  90%   Resolution                   (5,686 calls)
% 172.55/172.75  ;     0.646   0%   Paramodulation               (2,843 calls)
% 172.55/172.75  ;     0.466   0%   Condensing                   (22,636 calls)
% 172.55/172.75  ;     9.254   5%   Forward subsumption          (22,636 calls)
% 172.55/172.75  ;     1.597   1%   Backward subsumption         (19,486 calls)
% 172.55/172.75  ;     0.132   0%   Clause clause subsumption    (18,605 calls)
% 172.55/172.75  ;     1.447   1%   Forward simplification       (28,301 calls)
% 172.55/172.75  ;     0.076   0%   Backward simplification      (21,940 calls)
% 172.55/172.75  ;     0.039   0%   Ordering                     (35,201 calls)
% 172.55/172.75  ;     0.002   0%   Sortal reasoning             (32 calls)
% 172.55/172.75  ;     0.021   0%   Purity testing               (1 call)
% 172.55/172.75  ;     0.164   0%   Other
% 172.55/172.75  ;   172.269        Total
% 172.55/172.75  ;   172.301        Real time
% 172.55/172.75  ; 
% 172.55/172.77  ; Term-hash-array has 24,938 terms in all.
% 172.55/172.77  ; Feature-vector-row-index has 18,692 entries (18,692 at peak, 19,486 added, 794 deleted).
% 172.55/172.77  ; Feature-vector-row-index has 231,994 nodes (231,994 at peak, 236,848 added, 4,854 deleted).
% 172.55/172.77  ;  Retrieved 46,311 possibly forward subsuming rows in 22,636 calls.
% 172.55/172.77  ;  Retrieved 15,851 possibly backward subsumed rows in 19,486 calls.
% 172.55/172.77  ; Path-index has 24,775 entries (24,775 at peak, 26,029 added, 1,254 deleted).
% 172.55/172.77  ; Path-index has 4,610 nodes (4,610 at peak, 4,706 added, 96 deleted).
% 172.55/172.77  ; Trie-index has 24,775 entries (24,775 at peak, 26,029 added, 1,254 deleted).
% 172.55/172.77  ; Trie-index has 44,847 nodes (44,847 at peak, 47,009 added, 2,162 deleted).
% 172.55/172.77  ; Retrieved 25,061 generalization terms in 266,396 calls.
% 172.55/172.77  ; Retrieved 2,453 instance terms in 2,453 calls.
% 172.55/172.77  ; Retrieved 65,845,222 unifiable terms in 2,194,406 calls.
% 172.55/172.77  ; 
% 172.55/172.77  ; The agenda of rows to process has 6 entries:
% 172.55/172.77  ;     1 with value 6               4 with value 9                1 with value 11
% 172.55/172.77  ; The agenda of rows to give has 18234 entries:
% 172.55/172.77  ;    22 with value (4 5)         464 with value (4 41)         197 with value (4 77)
% 172.55/172.77  ;    62 with value (4 6)         434 with value (4 42)         187 with value (4 78)
% 172.55/172.77  ;   158 with value (4 7)         268 with value (4 43)         230 with value (4 79)
% 172.55/172.77  ;   496 with value (4 8)         108 with value (4 44)         183 with value (4 80)
% 172.55/172.77  ;   803 with value (4 9)         129 with value (4 45)         185 with value (4 81)
% 172.55/172.77  ;   179 with value (4 10)        123 with value (4 46)         199 with value (4 82)
% 172.55/172.77  ;   113 with value (4 11)        177 with value (4 47)         196 with value (4 83)
% 172.55/172.77  ;   219 with value (4 12)         37 with value (4 48)         190 with value (4 84)
% 172.55/172.77  ;   298 with value (4 13)         87 with value (4 49)         152 with value (4 85)
% 172.55/172.77  ;   180 with value (4 14)        108 with value (4 50)         171 with value (4 86)
% 172.55/172.77  ;    83 with value (4 15)        139 with value (4 51)         156 with value (4 87)
% 172.55/172.77  ;   148 with value (4 16)         69 with value (4 52)         148 with value (4 88)
% 172.55/172.77  ;   392 with value (4 17)        100 with value (4 53)         161 with value (4 89)
% 172.55/172.77  ;   240 with value (4 18)        119 with value (4 54)         108 with value (4 90)
% 172.55/172.77  ;    65 with value (4 19)        271 with value (4 55)         142 with value (4 91)
% 172.55/172.77  ;    94 with value (4 20)        215 with value (4 56)         159 with value (4 92)
% 172.55/172.77  ;    62 with value (4 21)         93 with value (4 57)         128 with value (4 93)
% 172.55/172.77  ;    74 with value (4 22)        106 with value (4 58)          95 with value (4 94)
% 172.55/172.77  ;   105 with value (4 23)         78 with value (4 59)         114 with value (4 95)
% 172.55/172.77  ;   917 with value (4 24)        157 with value (4 60)         154 with value (4 96)
% 172.55/172.77  ;   768 with value (4 25)        147 with value (4 61)          67 with value (4 97)
% 172.55/172.77  ;   345 with value (4 26)        164 with value (4 62)          63 with value (4 98)
% 172.55/172.77  ;   250 with value (4 27)        136 with value (4 63)         115 with value (4 99)
% 172.55/172.77  ;   276 with value (4 28)        120 with value (4 64)          84 with value (4 100)
% 172.55/172.77  ;    77 with value (4 29)        180 with value (4 65)          47 with value (4 101)
% 172.55/172.77  ;    97 with value (4 30)        172 with value (4 66)          74 with value (4 102)
% 172.55/172.77  ;    99 with value (4 31)        189 with value (4 67)          82 with value (4 103)
% 172.55/172.77  ;    54 with value (4 32)        164 with value (4 68)          33 with value (4 104)
% 172.55/172.77  ;   424 with value (4 33)        139 with value (4 69)          39 with value (4 105)
% 172.55/172.77  ;   186 with value (4 34)        167 with value (4 70)          54 with value (4 106)
% 172.55/172.77  ;   233 with value (4 35)        225 with value (4 71)          18 with value (4 107)
% 172.55/172.77  ;   170 with value (4 36)        233 with value (4 72)           8 with value (4 108)
% 172.55/172.77  ;    80 with value (4 37)        185 with value (4 73)          22 with value (4 109)
% 172.55/172.77  ;    95 with value (4 38)        171 with value (4 74)           6 with value (4 110)
% 172.55/172.77  ;   235 with value (4 39)        207 with value (4 75)           4 with value (4 112)
% 172.55/172.77  ;    57 with value (4 40)        226 with value (4 76)
% 172.55/172.77  Evaluation took:
% 172.55/172.77    172.323 seconds of real time
% 172.55/172.77    171.16269 seconds of user run time
% 172.55/172.77    1.12888 seconds of system run time
% 172.55/172.77    [Run times include 3.816 seconds GC run time.]
% 172.55/172.77    0 calls to %EVAL
% 172.55/172.77    0 page faults and
% 172.55/172.77    3,129,565,272 bytes consed.
% 172.55/172.77  :PROOF-FOUND
% 172.55/172.77  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T19:13:39
% 172.55/172.77  :PROOF-FOUND
% 172.55/172.77  * 
%------------------------------------------------------------------------------