TSTP Solution File: NUM597+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM597+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:12:02 EDT 2022

% Result   : Theorem 66.79s 66.98s
% Output   : Refutation 66.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   23 (   5 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2811,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).

cnf(2822,hypothesis,
    ( aElementOf0(X,sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | ~ aElementOf0(Y,szDzozmdt0(xd))
    | sdtlpdtrp0(xd,Y) != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).

cnf(2823,plain,
    ( aElementOf0(X,sdtlcdtrc0(xd,szNzAzT0))
    | ~ aElementOf0(Y,szNzAzT0)
    | sdtlpdtrp0(xd,Y) != X ),
    inference('REWRITE',[status(thm)],[2822,2811,theory(equality)]) ).

cnf(2824,hypothesis,
    ( ~ aElementOf0(X,sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | aElementOf0(X,xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).

cnf(2825,plain,
    ( ~ aElementOf0(X,sdtlcdtrc0(xd,szNzAzT0))
    | aElementOf0(X,xT) ),
    inference('REWRITE',[status(thm)],[2824,2811,theory(equality)]) ).

cnf(2829,hypothesis,
    ( ~ aElementOf0(X,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | aElementOf0(X,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4868) ).

cnf(2830,plain,
    ( ~ aElementOf0(X,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | aElementOf0(X,szNzAzT0) ),
    inference('REWRITE',[status(thm)],[2829,2811,theory(equality)]) ).

cnf(2831,hypothesis,
    ( ~ aElementOf0(X,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | sdtlpdtrp0(xd,X) = szDzizrdt0(xd) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4868) ).

cnf(2834,hypothesis,
    aElementOf0('SKOLEMAAAU45',sdtlbdtrb0(xd,szDzizrdt0(xd))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4868) ).

cnf(2835,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2904,plain,
    ~ aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)),
    inference('UR-RESOLVE',[status(thm)],[2825,2835]) ).

cnf(2923,plain,
    aElementOf0('SKOLEMAAAU45',szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[2830,2834]) ).

cnf(2999,plain,
    sdtlpdtrp0(xd,'SKOLEMAAAU45') = szDzizrdt0(xd),
    inference('HYPERRESOLVE',[status(thm)],[2831,2834]) ).

cnf(11195,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2823,2923,theory(equality)]),2904,2999,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM597+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 04:51:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T04:51:39
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-07T04:51:39
% 66.79/66.98  
% 66.79/66.98  
% 66.79/66.98  #||
% 66.79/66.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.79/66.98  % SZS output start Refutation
% See solution above
% 66.79/66.98  ||#
% 66.79/66.98  
% 66.79/66.98  ; Summary of computation:
% 66.79/66.98  ;     14541 formulas have been input or derived (from 2750 formulas).
% 66.79/66.98  ;     11195 (77%) were retained.  Of these,
% 66.79/66.98  ;          354 ( 3%) were simplified or subsumed later,
% 66.79/66.98  ;        10841 (97%) are still being kept.
% 66.79/66.98  ; 
% 66.79/66.98  ; Run time in seconds excluding printing time:
% 66.79/66.98  ;     0.041   0%   Read assertion file          (1 call)
% 66.79/66.98  ;     0.130   0%   Assert                       (95 calls)
% 66.79/66.98  ;     1.351   2%   Process new row              (14,251 calls)
% 66.79/66.98  ;    57.019  86%   Resolution                   (5,498 calls)
% 66.79/66.98  ;     0.553   1%   Paramodulation               (2,749 calls)
% 66.79/66.98  ;     0.347   1%   Condensing                   (12,716 calls)
% 66.79/66.98  ;     5.268   8%   Forward subsumption          (12,716 calls)
% 66.79/66.98  ;     0.625   1%   Backward subsumption         (10,521 calls)
% 66.79/66.98  ;     0.088   0%   Clause clause subsumption    (12,466 calls)
% 66.79/66.98  ;     0.905   1%   Forward simplification       (14,251 calls)
% 66.79/66.98  ;     0.027   0%   Backward simplification      (11,155 calls)
% 66.79/66.98  ;     0.013   0%   Ordering                     (13,928 calls)
% 66.79/66.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 66.79/66.98  ;     0.022   0%   Purity testing               (1 call)
% 66.79/66.98  ;     0.120   0%   Other
% 66.79/66.98  ;    66.509        Total
% 66.79/66.98  ;    66.510        Real time
% 66.79/66.98  ; 
% 66.79/66.99  ; Term-hash-array has 5,713 terms in all.
% 66.79/66.99  ; Feature-vector-row-index has 10,230 entries (10,231 at peak, 10,521 added, 291 deleted).
% 66.79/66.99  ; Feature-vector-row-index has 165,162 nodes (165,173 at peak, 168,599 added, 3,437 deleted).
% 66.79/66.99  ;  Retrieved 20,325 possibly forward subsuming rows in 12,716 calls.
% 66.79/66.99  ;  Retrieved 1,387 possibly backward subsumed rows in 10,521 calls.
% 66.79/66.99  ; Path-index has 5,675 entries (5,675 at peak, 5,944 added, 269 deleted).
% 66.79/66.99  ; Path-index has 3,347 nodes (3,347 at peak, 3,397 added, 50 deleted).
% 66.79/66.99  ; Trie-index has 5,675 entries (5,675 at peak, 5,944 added, 269 deleted).
% 66.79/66.99  ; Trie-index has 12,829 nodes (12,829 at peak, 13,312 added, 483 deleted).
% 66.79/66.99  ; Retrieved 11,917 generalization terms in 156,771 calls.
% 66.79/66.99  ; Retrieved 633 instance terms in 633 calls.
% 66.79/66.99  ; Retrieved 18,959,789 unifiable terms in 926,425 calls.
% 66.79/66.99  ; 
% 66.79/66.99  ; The agenda of rows to process has 157 entries:
% 66.79/66.99  ;     4 with value 11              4 with value 24               2 with value 41
% 66.79/66.99  ;    15 with value 12             16 with value 25              16 with value 42
% 66.79/66.99  ;    12 with value 13             16 with value 27               8 with value 43
% 66.79/66.99  ;     3 with value 14              1 with value 32              10 with value 44
% 66.79/66.99  ;     5 with value 15              1 with value 34               6 with value 50
% 66.79/66.99  ;     1 with value 16              4 with value 35               2 with value 51
% 66.79/66.99  ;     2 with value 17              8 with value 36               4 with value 54
% 66.79/66.99  ;     2 with value 19              4 with value 37               4 with value 55
% 66.79/66.99  ;     5 with value 22              2 with value 39
% 66.79/66.99  ; The agenda of rows to give has 8091 entries:
% 66.79/66.99  ;     1 with value (4 5)          17 with value (4 40)         135 with value (4 75)
% 66.79/66.99  ;    27 with value (4 6)         132 with value (4 41)         150 with value (4 76)
% 66.79/66.99  ;    50 with value (4 7)         139 with value (4 42)         137 with value (4 77)
% 66.79/66.99  ;   118 with value (4 8)          86 with value (4 43)         151 with value (4 78)
% 66.79/66.99  ;   153 with value (4 9)          41 with value (4 44)         182 with value (4 79)
% 66.79/66.99  ;    44 with value (4 10)         60 with value (4 45)         121 with value (4 80)
% 66.79/66.99  ;    35 with value (4 11)         48 with value (4 46)         133 with value (4 81)
% 66.79/66.99  ;    49 with value (4 12)         73 with value (4 47)         163 with value (4 82)
% 66.79/66.99  ;    31 with value (4 13)         34 with value (4 48)         146 with value (4 83)
% 66.79/66.99  ;    58 with value (4 14)         62 with value (4 49)         132 with value (4 84)
% 66.79/66.99  ;    26 with value (4 15)         58 with value (4 50)          96 with value (4 85)
% 66.79/66.99  ;    25 with value (4 16)         75 with value (4 51)         113 with value (4 86)
% 66.79/66.99  ;    78 with value (4 17)         51 with value (4 52)         108 with value (4 87)
% 66.79/66.99  ;    44 with value (4 18)         82 with value (4 53)          78 with value (4 88)
% 66.79/66.99  ;    13 with value (4 19)         67 with value (4 54)          83 with value (4 89)
% 66.79/66.99  ;    31 with value (4 20)        117 with value (4 55)          50 with value (4 90)
% 66.79/66.99  ;    17 with value (4 21)        109 with value (4 56)          80 with value (4 91)
% 66.79/66.99  ;    16 with value (4 22)         81 with value (4 57)          91 with value (4 92)
% 66.79/66.99  ;    13 with value (4 23)         92 with value (4 58)          56 with value (4 93)
% 66.79/66.99  ;    96 with value (4 24)         54 with value (4 59)          53 with value (4 94)
% 66.79/66.99  ;   109 with value (4 25)        127 with value (4 60)          74 with value (4 95)
% 66.79/66.99  ;    71 with value (4 26)        137 with value (4 61)          88 with value (4 96)
% 66.79/66.99  ;    32 with value (4 27)        152 with value (4 62)          29 with value (4 97)
% 66.79/66.99  ;    55 with value (4 28)        118 with value (4 63)          37 with value (4 98)
% 66.79/66.99  ;    41 with value (4 29)         90 with value (4 64)          79 with value (4 99)
% 66.79/66.99  ;    40 with value (4 30)        142 with value (4 65)          40 with value (4 100)
% 66.79/66.99  ;    59 with value (4 31)        134 with value (4 66)          15 with value (4 101)
% 66.79/67.00  ;    38 with value (4 32)        157 with value (4 67)          48 with value (4 102)
% 66.79/67.00  ;    97 with value (4 33)        128 with value (4 68)          50 with value (4 103)
% 66.79/67.00  ;    66 with value (4 34)        111 with value (4 69)           9 with value (4 104)
% 66.79/67.00  ;    83 with value (4 35)        125 with value (4 70)          15 with value (4 105)
% 66.79/67.00  ;    65 with value (4 36)        157 with value (4 71)          30 with value (4 106)
% 66.79/67.00  ;    46 with value (4 37)        161 with value (4 72)          12 with value (4 107)
% 66.79/67.00  ;    43 with value (4 38)        125 with value (4 73)           6 with value (4 109)
% 66.79/67.00  ;    58 with value (4 39)        125 with value (4 74)           6 with value (4 110)
% 66.79/67.00  Evaluation took:
% 66.79/67.00    66.527 seconds of real time
% 66.79/67.00    65.996765 seconds of user run time
% 66.79/67.00    0.531195 seconds of system run time
% 66.79/67.00    [Run times include 1.411 seconds GC run time.]
% 66.79/67.00    0 calls to %EVAL
% 66.79/67.00    0 page faults and
% 66.79/67.00    1,547,969,536 bytes consed.
% 66.79/67.00  :PROOF-FOUND
% 66.79/67.00  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T04:52:45
% 66.79/67.00  :PROOF-FOUND
% 66.79/67.00  * 
%------------------------------------------------------------------------------