TSTP Solution File: KRS216+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Sun Jul 17 03:29:15 EDT 2022

% Result   : Theorem 1.32s 1.52s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   7 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :   14 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ model(X,Y)
    | model(X,Z)
    | ~ status(Y,Z,thm) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).

cnf(69,axiom,
    ( ~ model('SKOLEMAAAV38'(X),X)
    | ~ model('SKOLEMAAAV39'(Y),not(Y))
    | status(X,Y,uns) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',uns) ).

cnf(83,axiom,
    ( ~ status(X,Y,Z)
    | status(X,Y,U)
    | nota(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).

cnf(94,axiom,
    ( model(X,Y)
    | model(X,not(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',completeness) ).

cnf(95,axiom,
    model(X,'SKOLEMAAAV52'),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).

cnf(98,axiom,
    ~ model(X,'SKOLEMAAAV56'),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',contradiction) ).

cnf(110,negated_conjecture,
    ~ nota(uns,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_uns_thm) ).

cnf(202,plain,
    model(X,not('SKOLEMAAAV56')),
    inference('UR-RESOLVE',[status(thm)],[94,98]) ).

cnf(375,plain,
    ~ status('SKOLEMAAAV52','SKOLEMAAAV56',thm),
    inference('UR-RESOLVE',[status(thm)],[16,95,98]) ).

cnf(1768,plain,
    ~ status('SKOLEMAAAV52','SKOLEMAAAV56',uns),
    inference('UR-RESOLVE',[status(thm)],[83,375,110]) ).

cnf(4350,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,202,95]),1768]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 18:58:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T18:58:02
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-07T18:58:02
% 1.32/1.52  
% 1.32/1.52  
% 1.32/1.52  #||
% 1.32/1.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/1.52  % SZS output start Refutation
% See solution above
% 1.32/1.52  ||#
% 1.32/1.52  
% 1.32/1.52  ; Summary of computation:
% 1.32/1.52  ;     24587 formulas have been input or derived (from 1409 formulas).
% 1.32/1.52  ;      4350 (18%) were retained.  Of these,
% 1.32/1.52  ;          204 ( 5%) were simplified or subsumed later,
% 1.32/1.52  ;         4146 (95%) are still being kept.
% 1.32/1.52  ; 
% 1.32/1.52  ; Run time in seconds excluding printing time:
% 1.32/1.52  ;     0.010   1%   Read assertion file          (1 call)
% 1.32/1.52  ;     0.006   1%   Assert                       (33 calls)
% 1.32/1.52  ;     0.186  17%   Process new row              (18,210 calls)
% 1.32/1.52  ;     0.548  52%   Resolution                   (2,816 calls)
% 1.32/1.52  ;     0.007   1%   Paramodulation               (1,408 calls)
% 1.32/1.52  ;     0.000   0%   Factoring                    (9 calls)
% 1.32/1.52  ;     0.046   4%   Condensing                   (1,142 calls)
% 1.32/1.52  ;     0.043   4%   Forward subsumption          (1,142 calls)
% 1.32/1.52  ;     0.017   2%   Backward subsumption         (1,063 calls)
% 1.32/1.52  ;     0.007   1%   Clause clause subsumption    (1,133 calls)
% 1.32/1.52  ;     0.079   7%   Forward simplification       (18,210 calls)
% 1.32/1.52  ;     0.018   2%   Backward simplification      (4,347 calls)
% 1.32/1.52  ;     0.005   0%   Ordering                     (3,798 calls)
% 1.32/1.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.32/1.52  ;     0.000   0%   Purity testing               (1 call)
% 1.32/1.52  ;     0.091   9%   Other
% 1.32/1.52  ;     1.063        Total
% 1.32/1.52  ;     1.065        Real time
% 1.32/1.52  ; 
% 1.32/1.52  ; Term-hash-array has 6,740 terms in all.
% 1.32/1.52  ; Feature-vector-row-index has 897 entries (897 at peak, 1,063 added, 166 deleted).
% 1.32/1.52  ; Feature-vector-row-index has 3,152 nodes (3,152 at peak, 3,488 added, 336 deleted).
% 1.32/1.52  ;  Retrieved 3,398 possibly forward subsuming rows in 1,142 calls.
% 1.32/1.52  ;  Retrieved 845 possibly backward subsumed rows in 1,063 calls.
% 1.32/1.52  ; Path-index has 6,686 entries (6,686 at peak, 6,801 added, 115 deleted).
% 1.32/1.52  ; Path-index has 2,909 nodes (2,909 at peak, 2,945 added, 36 deleted).
% 1.32/1.52  ; Trie-index has 6,686 entries (6,686 at peak, 6,801 added, 115 deleted).
% 1.32/1.52  ; Trie-index has 11,517 nodes (11,517 at peak, 11,644 added, 127 deleted).
% 1.32/1.52  ; Retrieved 14,638 generalization terms in 21,762 calls.
% 1.32/1.52  ; Retrieved 3,334 instance terms in 3,283 calls.
% 1.32/1.52  ; Retrieved 737,172 unifiable terms in 43,955 calls.
% 1.32/1.52  ; 
% 1.32/1.52  ; The agenda of rows to process has 696 entries:
% 1.32/1.52  ;     9 with value 7               1 with value 18               8 with value 27
% 1.32/1.52  ;    59 with value 8              17 with value 19              18 with value 28
% 1.32/1.52  ;   191 with value 9              30 with value 20               9 with value 29
% 1.32/1.52  ;   118 with value 10              1 with value 21               3 with value 30
% 1.32/1.52  ;    14 with value 11             25 with value 22               2 with value 31
% 1.32/1.52  ;    52 with value 13             10 with value 23               8 with value 32
% 1.32/1.52  ;     5 with value 14              5 with value 24               8 with value 33
% 1.32/1.52  ;    17 with value 15              9 with value 25               2 with value 36
% 1.32/1.52  ;    28 with value 16             17 with value 26               2 with value 37
% 1.32/1.52  ;    28 with value 17
% 1.32/1.52  ; The agenda of rows to give has 2737 entries:
% 1.32/1.52  ;    41 with value (4 7)          14 with value (4 18)          21 with value (4 29)
% 1.32/1.52  ;   125 with value (4 8)          32 with value (4 19)           6 with value (4 30)
% 1.32/1.52  ;   455 with value (4 9)          59 with value (4 20)          28 with value (4 31)
% 1.32/1.52  ;    84 with value (4 10)         42 with value (4 21)          11 with value (4 32)
% 1.32/1.52  ;   148 with value (4 11)         38 with value (4 22)           6 with value (4 33)
% 1.32/1.52  ;    75 with value (4 12)         14 with value (4 23)           1 with value (4 34)
% 1.32/1.52  ;  1231 with value (4 13)         15 with value (4 24)           1 with value (4 35)
% 1.32/1.52  ;    33 with value (4 14)         37 with value (4 25)           6 with value (4 36)
% 1.32/1.52  ;     6 with value (4 15)         13 with value (4 26)           8 with value (4 37)
% 1.32/1.52  ;    54 with value (4 16)          8 with value (4 27)           1 with value (4 39)
% 1.32/1.52  ;    80 with value (4 17)         43 with value (4 28)           1 with value (4 40)
% 1.32/1.52  Evaluation took:
% 1.32/1.52    1.066 seconds of real time
% 1.32/1.52    0.972476 seconds of user run time
% 1.32/1.52    0.093152 seconds of system run time
% 1.32/1.52    [Run times include 0.074 seconds GC run time.]
% 1.32/1.52    0 calls to %EVAL
% 1.32/1.52    0 page faults and
% 1.32/1.52    65,550,768 bytes consed.
% 1.32/1.52  :PROOF-FOUND
% 1.32/1.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T18:58:04
% 1.32/1.52  :PROOF-FOUND
% 1.32/1.52  * 
%------------------------------------------------------------------------------