TSTP Solution File: LCL208-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 14:21:10 EDT 2022

% Result   : Unsatisfiable 3.60s 3.77s
% Output   : Refutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;   8 RR)
%            Number of literals    :   21 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(or(not(or(X,X)),X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X),or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X,Y)),or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X,or(Y,Z))),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Y))
    | ~ axiom(or(not(X),Z))
    | ~ theorem(or(not(Z),Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(11,plain,
    theorem(or(not(or(X,X)),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).

cnf(20,plain,
    ~ theorem(or(not(or(q,p)),or(not(not(p)),q))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,prove_this,axiom_1_4]) ).

cnf(50,plain,
    theorem(or(not(or(X,or(Y,Y))),or(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,11,axiom_1_6]) ).

cnf(808,plain,
    ~ theorem(or(not(not(p)),or(not(or(q,p)),q))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,20,axiom_1_5]) ).

cnf(1655,plain,
    theorem(or(not(or(not(X),Y)),or(not(or(Y,X)),Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,50,axiom_1_6]) ).

cnf(2124,plain,
    ~ theorem(or(not(or(X,not(p))),or(not(or(q,p)),q))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,808,axiom_1_3]) ).

cnf(14937,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,2124,axiom_1_4,1655]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jul  2 14:26:30 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T14:26:30
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-02T14:26:30
% 3.60/3.77  
% 3.60/3.77  
% 3.60/3.77  #||
% 3.60/3.77  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.77  % SZS output start Refutation
% See solution above
% 3.60/3.77  ||#
% 3.60/3.77  
% 3.60/3.77  ; Summary of computation:
% 3.60/3.77  ;     17221 formulas have been input or derived (from 411 formulas).
% 3.60/3.77  ;     14937 (87%) were retained.  Of these,
% 3.60/3.77  ;        14937 (100%) are still being kept.
% 3.60/3.77  ; 
% 3.60/3.77  ; Run time in seconds excluding printing time:
% 3.60/3.77  ;     0.003   0%   Read assertion file          (1 call)
% 3.60/3.77  ;     0.000   0%   Assert                       (9 calls)
% 3.60/3.77  ;     1.606  49%   Process new row              (16,252 calls)
% 3.60/3.77  ;     0.561  17%   Resolution                   (820 calls)
% 3.60/3.77  ;     0.149   5%   Paramodulation               (410 calls)
% 3.60/3.77  ;     0.000   0%   Condensing                   (3 calls)
% 3.60/3.77  ;     0.000   0%   Forward subsumption          (3 calls)
% 3.60/3.77  ;     0.000   0%   Backward subsumption         (3 calls)
% 3.60/3.77  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 3.60/3.77  ;     0.421  13%   Forward simplification       (16,252 calls)
% 3.60/3.77  ;     0.467  14%   Backward simplification      (14,937 calls)
% 3.60/3.77  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.60/3.77  ;     0.000   0%   Purity testing               (1 call)
% 3.60/3.77  ;     0.097   3%   Other
% 3.60/3.77  ;     3.304        Total
% 3.60/3.77  ;     3.306        Real time
% 3.60/3.77  ; 
% 3.60/3.77  ; Term-hash-array has 31,237 terms in all.
% 3.60/3.77  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 3.60/3.77  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 3.60/3.77  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 3.60/3.77  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 3.60/3.77  ; Path-index has 31,239 entries (31,239 at peak, 31,239 added, 0 deleted).
% 3.60/3.77  ; Path-index has 3,323 nodes (3,323 at peak, 3,323 added, 0 deleted).
% 3.60/3.77  ; Trie-index has 31,239 entries (31,239 at peak, 31,239 added, 0 deleted).
% 3.60/3.77  ; Trie-index has 67,404 nodes (67,404 at peak, 67,404 added, 0 deleted).
% 3.60/3.77  ; Retrieved 135,917 generalization terms in 16,307 calls.
% 3.60/3.77  ; Retrieved 30,648 instance terms in 14,933 calls.
% 3.60/3.77  ; Retrieved 80,576 unifiable terms in 13,268 calls.
% 3.60/3.77  ; 
% 3.60/3.77  ; The agenda of rows to process has 216 entries:
% 3.60/3.77  ;     1 with value 14              1 with value 26              26 with value 35
% 3.60/3.77  ;     1 with value 15              1 with value 28              36 with value 36
% 3.60/3.77  ;     1 with value 17              2 with value 29              45 with value 37
% 3.60/3.77  ;     1 with value 19              2 with value 30              33 with value 38
% 3.60/3.77  ;     3 with value 20             10 with value 31               3 with value 39
% 3.60/3.77  ;     5 with value 22              2 with value 32               2 with value 40
% 3.60/3.77  ;     2 with value 23             14 with value 33               1 with value 45
% 3.60/3.77  ;     2 with value 24             18 with value 34               1 with value 46
% 3.60/3.77  ;     3 with value 25
% 3.60/3.77  ; The agenda of rows to give has 14526 entries:
% 3.60/3.77  ;    99 with value (4 21)       1466 with value (4 31)           6 with value (4 41)
% 3.60/3.77  ;   165 with value (4 22)       1803 with value (4 32)           2 with value (4 42)
% 3.60/3.77  ;   141 with value (4 23)       1874 with value (4 33)           7 with value (4 43)
% 3.60/3.77  ;   225 with value (4 24)       1832 with value (4 34)           4 with value (4 44)
% 3.60/3.77  ;   247 with value (4 25)       1533 with value (4 35)           2 with value (4 46)
% 3.60/3.77  ;   307 with value (4 26)        953 with value (4 36)           1 with value (4 48)
% 3.60/3.77  ;   432 with value (4 27)        552 with value (4 37)           1 with value (4 52)
% 3.60/3.77  ;   623 with value (4 28)        243 with value (4 38)           1 with value (4 53)
% 3.60/3.77  ;   805 with value (4 29)         22 with value (4 39)           1 with value (4 60)
% 3.60/3.77  ;  1175 with value (4 30)          4 with value (4 40)
% 3.60/3.77  Evaluation took:
% 3.60/3.77    3.307 seconds of real time
% 3.60/3.77    3.130865 seconds of user run time
% 3.60/3.77    0.17581 seconds of system run time
% 3.60/3.77    [Run times include 0.506 seconds GC run time.]
% 3.60/3.77    0 calls to %EVAL
% 3.60/3.77    0 page faults and
% 3.60/3.77    211,944,216 bytes consed.
% 3.60/3.77  :PROOF-FOUND
% 3.60/3.78  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T14:26:33
% 3.60/3.78  :PROOF-FOUND
% 3.60/3.78  * 
%------------------------------------------------------------------------------