TSTP Solution File: NUM610+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:12:11 EDT 2022

% Result   : Theorem 1.96s 2.21s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2854,hypothesis,
    ( ~ aElementOf0(X,xQ)
    | aElementOf0(X,xO) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).

cnf(2871,hypothesis,
    ( ~ aElementOf0(X,xP)
    | aElementOf0(X,xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).

cnf(2881,negated_conjecture,
    aElementOf0('SKOLEMAAAU49',xP),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2882,negated_conjecture,
    ~ aElementOf0('SKOLEMAAAU49',xO),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2918,plain,
    ~ aElementOf0('SKOLEMAAAU49',xQ),
    inference('UR-RESOLVE',[status(thm)],[2854,2882]) ).

cnf(2925,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2871,2881]),2918]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jul  6 01:09:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T01:09:53
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-06T01:09:53
% 1.96/2.21  
% 1.96/2.21  
% 1.96/2.21  #||
% 1.96/2.21  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/2.21  % SZS output start Refutation
% See solution above
% 1.96/2.21  ||#
% 1.96/2.21  
% 1.96/2.21  ; Summary of computation:
% 1.96/2.21  ;      3638 formulas have been input or derived (from 67 formulas).
% 1.96/2.21  ;      2925 (80%) were retained.  Of these,
% 1.96/2.21  ;          116 ( 4%) were simplified or subsumed later,
% 1.96/2.21  ;         2809 (96%) are still being kept.
% 1.96/2.21  ; 
% 1.96/2.21  ; Run time in seconds:
% 1.96/2.21  ;     0.045   3%   Read assertion file          (1 call)
% 1.96/2.21  ;     0.124   7%   Assert                       (108 calls)
% 1.96/2.21  ;     0.338  20%   Process new row              (3,578 calls)
% 1.96/2.21  ;     0.049   3%   Resolution                   (132 calls)
% 1.96/2.21  ;     0.001   0%   Paramodulation               (66 calls)
% 1.96/2.21  ;     0.108   6%   Condensing                   (3,428 calls)
% 1.96/2.21  ;     0.665  39%   Forward subsumption          (3,428 calls)
% 1.96/2.21  ;     0.157   9%   Backward subsumption         (2,783 calls)
% 1.96/2.21  ;     0.016   1%   Clause clause subsumption    (3,709 calls)
% 1.96/2.21  ;     0.164  10%   Forward simplification       (3,578 calls)
% 1.96/2.21  ;     0.003   0%   Backward simplification      (2,879 calls)
% 1.96/2.21  ;     0.000   0%   Ordering                     (61 calls)
% 1.96/2.21  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.96/2.21  ;     0.022   1%   Purity testing               (1 call)
% 1.96/2.21  ;     0.029   2%   Other
% 1.96/2.21  ;     1.721        Total
% 1.96/2.21  ;     1.721        Real time
% 1.96/2.21  ; 
% 1.96/2.22  ; Term-hash-array has 608 terms in all.
% 1.96/2.22  ; Feature-vector-row-index has 2,713 entries (2,713 at peak, 2,783 added, 70 deleted).
% 1.96/2.22  ; Feature-vector-row-index has 37,088 nodes (37,088 at peak, 38,283 added, 1,195 deleted).
% 1.96/2.22  ;  Retrieved 5,312 possibly forward subsuming rows in 3,428 calls.
% 1.96/2.22  ;  Retrieved 451 possibly backward subsumed rows in 2,783 calls.
% 1.96/2.22  ; Path-index has 623 entries (623 at peak, 631 added, 8 deleted).
% 1.96/2.22  ; Path-index has 1,625 nodes (1,625 at peak, 1,629 added, 4 deleted).
% 1.96/2.22  ; Trie-index has 623 entries (623 at peak, 631 added, 8 deleted).
% 1.96/2.22  ; Trie-index has 1,490 nodes (1,490 at peak, 1,499 added, 9 deleted).
% 1.96/2.22  ; Retrieved 81 generalization terms in 33,494 calls.
% 1.96/2.22  ; Retrieved 95 instance terms in 95 calls.
% 1.96/2.22  ; Retrieved 4,120 unifiable terms in 354 calls.
% 1.96/2.22  ; 
% 1.96/2.22  ; The agenda of input rows to give has 2701 entries:
% 1.96/2.22  ;     1 with value 8              14 with value 44              60 with value 80
% 1.96/2.22  ;     7 with value 9              10 with value 45              59 with value 81
% 1.96/2.22  ;    16 with value 10              7 with value 46              51 with value 82
% 1.96/2.22  ;     2 with value 11             16 with value 47              43 with value 83
% 1.96/2.22  ;     5 with value 12             20 with value 48              58 with value 84
% 1.96/2.22  ;    12 with value 13             12 with value 49              59 with value 85
% 1.96/2.22  ;     6 with value 14             13 with value 50              51 with value 86
% 1.96/2.22  ;    11 with value 15             20 with value 51              55 with value 87
% 1.96/2.22  ;     9 with value 16             21 with value 52              44 with value 88
% 1.96/2.22  ;     9 with value 17             26 with value 53              59 with value 89
% 1.96/2.22  ;     8 with value 18             20 with value 54              54 with value 90
% 1.96/2.22  ;     9 with value 19             35 with value 55              34 with value 91
% 1.96/2.22  ;    10 with value 20             39 with value 56              39 with value 92
% 1.96/2.22  ;    10 with value 21             36 with value 57              41 with value 93
% 1.96/2.22  ;     8 with value 22             32 with value 58              36 with value 94
% 1.96/2.22  ;     2 with value 23             29 with value 59              27 with value 95
% 1.96/2.22  ;    12 with value 24             42 with value 60              27 with value 96
% 1.96/2.22  ;    13 with value 25             37 with value 61              35 with value 97
% 1.96/2.22  ;     4 with value 26             26 with value 62              27 with value 98
% 1.96/2.22  ;     4 with value 27             28 with value 63              19 with value 99
% 1.96/2.22  ;     6 with value 28             40 with value 64              28 with value 100
% 1.96/2.22  ;     4 with value 29             39 with value 65              22 with value 101
% 1.96/2.22  ;     7 with value 30             44 with value 66              15 with value 102
% 1.96/2.22  ;     9 with value 31             39 with value 67              21 with value 103
% 1.96/2.22  ;     8 with value 32             53 with value 68              14 with value 104
% 1.96/2.22  ;     6 with value 33             62 with value 69              14 with value 105
% 1.96/2.22  ;     5 with value 34             49 with value 70              15 with value 106
% 1.96/2.22  ;     8 with value 35             59 with value 71              11 with value 107
% 1.96/2.22  ;     4 with value 36             64 with value 72              10 with value 108
% 1.96/2.22  ;     3 with value 37             72 with value 73               8 with value 109
% 1.96/2.22  ;     3 with value 38             70 with value 74              12 with value 110
% 2.06/2.22  ;    10 with value 39             58 with value 75               3 with value 111
% 2.06/2.22  ;     7 with value 40             70 with value 76               2 with value 112
% 2.06/2.22  ;     9 with value 41             68 with value 77               8 with value 113
% 2.06/2.22  ;     6 with value 42             54 with value 78               2 with value 116
% 2.06/2.22  ;     9 with value 43             52 with value 79
% 2.06/2.22  ; The agenda of rows to give has 41 entries:
% 2.06/2.22  ;     3 with value (4 4)           1 with value (4 7)            1 with value (4 10)
% 2.06/2.22  ;    24 with value (4 5)           1 with value (4 8)            2 with value (4 11)
% 2.06/2.22  ;     6 with value (4 6)           1 with value (4 9)            2 with value (4 13)
% 2.06/2.22  Evaluation took:
% 2.06/2.22    1.725 seconds of real time
% 2.06/2.22    1.664674 seconds of user run time
% 2.06/2.22    0.060813 seconds of system run time
% 2.06/2.22    [Run times include 0.116 seconds GC run time.]
% 2.06/2.22    0 calls to %EVAL
% 2.06/2.22    0 page faults and
% 2.06/2.22    184,270,128 bytes consed.
% 2.06/2.22  :PROOF-FOUND
% 2.06/2.22  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T01:09:54
% 2.06/2.22  :PROOF-FOUND
% 2.06/2.22  * 
%------------------------------------------------------------------------------