TSTP Solution File: NUM586+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM586+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:11:56 EDT 2022

% Result   : Theorem 2.05s 2.25s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   5 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2715,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | szDzozmdt0(sdtlpdtrp0(xC,X)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X),szmzizndt0(sdtlpdtrp0(xN,X))),xk) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).

cnf(2729,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).

cnf(2730,hypothesis,
    aElementOf0('SKOLEMAAAV35',szDzozmdt0(sdtlpdtrp0(xC,xi))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).

cnf(2731,hypothesis,
    sdtlpdtrp0(sdtlpdtrp0(xC,xi),'SKOLEMAAAV35') = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).

cnf(2743,negated_conjecture,
    ( ~ aElementOf0(X,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    | sdtlpdtrp0(sdtlpdtrp0(xC,xi),X) != xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2922,plain,
    szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),
    inference('HYPERRESOLVE',[status(thm)],[2715,2729]) ).

cnf(2923,plain,
    ( ~ aElementOf0(X,szDzozmdt0(sdtlpdtrp0(xC,xi)))
    | sdtlpdtrp0(sdtlpdtrp0(xC,xi),X) != xx ),
    inference('REWRITE',[status(thm)],[2743,2922,theory(equality)]) ).

cnf(2924,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[2923,2730,2731]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM586+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jul  7 08:44:34 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49  * 
% 0.22/0.49  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:44:34
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-07T08:44:34
% 2.05/2.25  
% 2.05/2.25  
% 2.05/2.25  #||
% 2.05/2.25  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.25  % SZS output start Refutation
% See solution above
% 2.05/2.25  ||#
% 2.05/2.25  
% 2.05/2.25  ; Summary of computation:
% 2.05/2.25  ;      3465 formulas have been input or derived (from 142 formulas).
% 2.05/2.25  ;      2924 (84%) were retained.  Of these,
% 2.05/2.25  ;           85 ( 3%) were simplified or subsumed later,
% 2.05/2.25  ;         2839 (97%) are still being kept.
% 2.05/2.25  ; 
% 2.05/2.25  ; Run time in seconds excluding printing time:
% 2.05/2.25  ;     0.035   2%   Read assertion file          (1 call)
% 2.05/2.25  ;     0.119   7%   Assert                       (89 calls)
% 2.05/2.25  ;     0.339  19%   Process new row              (3,430 calls)
% 2.05/2.25  ;     0.176  10%   Resolution                   (282 calls)
% 2.05/2.25  ;     0.003   0%   Paramodulation               (141 calls)
% 2.05/2.25  ;     0.096   5%   Condensing                   (3,104 calls)
% 2.05/2.25  ;     0.618  35%   Forward subsumption          (3,104 calls)
% 2.05/2.25  ;     0.159   9%   Backward subsumption         (2,757 calls)
% 2.05/2.25  ;     0.013   1%   Clause clause subsumption    (3,187 calls)
% 2.05/2.25  ;     0.142   8%   Forward simplification       (3,430 calls)
% 2.05/2.25  ;     0.005   0%   Backward simplification      (2,912 calls)
% 2.05/2.25  ;     0.000   0%   Ordering                     (150 calls)
% 2.05/2.25  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.05/2.25  ;     0.016   1%   Purity testing               (1 call)
% 2.05/2.25  ;     0.028   2%   Other
% 2.05/2.25  ;     1.749        Total
% 2.05/2.25  ;     1.751        Real time
% 2.05/2.25  ; 
% 2.05/2.26  ; Term-hash-array has 746 terms in all.
% 2.05/2.26  ; Feature-vector-row-index has 2,684 entries (2,684 at peak, 2,757 added, 73 deleted).
% 2.05/2.26  ; Feature-vector-row-index has 36,371 nodes (36,660 at peak, 37,628 added, 1,257 deleted).
% 2.05/2.26  ;  Retrieved 4,453 possibly forward subsuming rows in 3,104 calls.
% 2.05/2.26  ;  Retrieved 122 possibly backward subsumed rows in 2,757 calls.
% 2.05/2.26  ; Path-index has 754 entries (754 at peak, 763 added, 9 deleted).
% 2.05/2.26  ; Path-index has 1,670 nodes (1,672 at peak, 1,676 added, 6 deleted).
% 2.05/2.26  ; Trie-index has 754 entries (754 at peak, 763 added, 9 deleted).
% 2.05/2.26  ; Trie-index has 1,744 nodes (1,749 at peak, 1,759 added, 15 deleted).
% 2.05/2.26  ; Retrieved 265 generalization terms in 29,680 calls.
% 2.05/2.26  ; Retrieved 154 instance terms in 154 calls.
% 2.05/2.26  ; Retrieved 84,603 unifiable terms in 4,048 calls.
% 2.05/2.26  ; 
% 2.05/2.26  ; The agenda of rows to process has 3 entries:
% 2.05/2.26  ;     1 with value 10              1 with value 11               1 with value 14
% 2.05/2.26  ; The agenda of input rows to give has 2518 entries:
% 2.05/2.26  ;    13 with value 25             33 with value 55              59 with value 85
% 2.05/2.26  ;     3 with value 26             36 with value 56              51 with value 86
% 2.05/2.26  ;     4 with value 27             35 with value 57              55 with value 87
% 2.05/2.26  ;     6 with value 28             32 with value 58              44 with value 88
% 2.05/2.26  ;     3 with value 29             27 with value 59              59 with value 89
% 2.05/2.26  ;     5 with value 30             40 with value 60              54 with value 90
% 2.05/2.26  ;     7 with value 31             37 with value 61              34 with value 91
% 2.05/2.26  ;     6 with value 32             26 with value 62              39 with value 92
% 2.05/2.26  ;     6 with value 33             28 with value 63              41 with value 93
% 2.05/2.26  ;     5 with value 34             40 with value 64              36 with value 94
% 2.05/2.26  ;     7 with value 35             39 with value 65              27 with value 95
% 2.05/2.26  ;     3 with value 36             44 with value 66              27 with value 96
% 2.05/2.26  ;     2 with value 37             39 with value 67              35 with value 97
% 2.05/2.26  ;     3 with value 38             53 with value 68              27 with value 98
% 2.05/2.26  ;    10 with value 39             62 with value 69              19 with value 99
% 2.05/2.26  ;     7 with value 40             49 with value 70              28 with value 100
% 2.05/2.26  ;     8 with value 41             59 with value 71              22 with value 101
% 2.05/2.26  ;     6 with value 42             64 with value 72              15 with value 102
% 2.05/2.26  ;    10 with value 43             72 with value 73              21 with value 103
% 2.05/2.26  ;    12 with value 44             70 with value 74              14 with value 104
% 2.05/2.26  ;     8 with value 45             58 with value 75              14 with value 105
% 2.05/2.26  ;     7 with value 46             70 with value 76              15 with value 106
% 2.05/2.26  ;    13 with value 47             68 with value 77              11 with value 107
% 2.05/2.26  ;    17 with value 48             54 with value 78              10 with value 108
% 2.05/2.26  ;    11 with value 49             52 with value 79               8 with value 109
% 2.05/2.26  ;    10 with value 50             60 with value 80              12 with value 110
% 2.05/2.26  ;    15 with value 51             59 with value 81               3 with value 111
% 2.05/2.26  ;    20 with value 52             51 with value 82               2 with value 112
% 2.05/2.26  ;    24 with value 53             43 with value 83               8 with value 113
% 2.05/2.26  ;    17 with value 54             58 with value 84               2 with value 116
% 2.05/2.26  ; The agenda of rows to give has 179 entries:
% 2.05/2.26  ;     9 with value (4 4)          21 with value (4 11)           2 with value (4 18)
% 2.05/2.26  ;    17 with value (4 5)          14 with value (4 12)           2 with value (4 19)
% 2.05/2.26  ;    11 with value (4 6)           5 with value (4 13)           3 with value (4 21)
% 2.05/2.26  ;    53 with value (4 7)           5 with value (4 14)           3 with value (4 22)
% 2.05/2.26  ;     4 with value (4 8)          12 with value (4 15)           1 with value (4 24)
% 2.05/2.26  ;    10 with value (4 9)           1 with value (4 16)           2 with value (4 25)
% 2.05/2.26  ;     2 with value (4 10)          2 with value (4 17)
% 2.05/2.26  Evaluation took:
% 2.05/2.26    1.754 seconds of real time
% 2.05/2.26    1.692615 seconds of user run time
% 2.05/2.26    0.061577 seconds of system run time
% 2.05/2.26    [Run times include 0.116 seconds GC run time.]
% 2.05/2.26    0 calls to %EVAL
% 2.05/2.26    0 page faults and
% 2.05/2.26    174,008,424 bytes consed.
% 2.05/2.26  :PROOF-FOUND
% 2.05/2.26  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:44:36
% 2.05/2.26  :PROOF-FOUND
% 2.05/2.26  * 
%------------------------------------------------------------------------------