TSTP Solution File: LCL199-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL199-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 14:21:02 EDT 2022

% Result   : Unsatisfiable 0.48s 0.68s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;   7 RR)
%            Number of literals    :   18 (   0 equ;   8 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   :   15 (   2 sgn)

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

cnf(axiom_1_3,axiom,
    axiom(or(not(X),or(Y,X))),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

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

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(not(or(p,q))),not(p))),
    file('/export/starexec/sandbox/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(14,plain,
    ~ theorem(or(not(p),not(not(or(p,q))))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_4]) ).

cnf(37,plain,
    theorem(or(not(X),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,11,axiom_1_3]) ).

cnf(49,plain,
    theorem(or(X,not(X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,37,axiom_1_4]) ).

cnf(128,plain,
    ~ theorem(or(not(or(X,p)),not(not(or(p,q))))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,14,axiom_1_3]) ).

cnf(971,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,128,axiom_1_4,49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL199-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 22:16:58 EDT 2022
% 0.12/0.34  % 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 2022-07-02T22:16:58
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-02T22:16:58
% 0.48/0.68  
% 0.48/0.68  
% 0.48/0.68  #||
% 0.48/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68  % SZS output start Refutation
% See solution above
% 0.48/0.68  ||#
% 0.48/0.68  
% 0.48/0.68  ; Summary of computation:
% 0.48/0.68  ;      1613 formulas have been input or derived (from 93 formulas).
% 0.48/0.68  ;       971 (60%) were retained.  Of these,
% 0.48/0.68  ;          971 (100%) are still being kept.
% 0.48/0.68  ; 
% 0.48/0.68  ; Run time in seconds excluding printing time:
% 0.48/0.68  ;     0.003   1%   Read assertion file          (1 call)
% 0.48/0.68  ;     0.000   0%   Assert                       (9 calls)
% 0.48/0.68  ;     0.090  43%   Process new row              (1,335 calls)
% 0.48/0.68  ;     0.034  16%   Resolution                   (184 calls)
% 0.48/0.68  ;     0.007   3%   Paramodulation               (92 calls)
% 0.48/0.68  ;     0.000   0%   Condensing                   (3 calls)
% 0.48/0.68  ;     0.001   0%   Forward subsumption          (3 calls)
% 0.48/0.68  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.48/0.68  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.48/0.68  ;     0.021  10%   Forward simplification       (1,335 calls)
% 0.48/0.68  ;     0.022  10%   Backward simplification      (971 calls)
% 0.48/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.68  ;     0.000   0%   Purity testing               (1 call)
% 0.48/0.68  ;     0.033  16%   Other
% 0.48/0.68  ;     0.211        Total
% 0.48/0.68  ;     0.213        Real time
% 0.48/0.68  ; 
% 0.48/0.68  ; Term-hash-array has 2,336 terms in all.
% 0.48/0.68  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.48/0.68  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.48/0.68  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.48/0.68  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.48/0.68  ; Path-index has 2,338 entries (2,338 at peak, 2,338 added, 0 deleted).
% 0.48/0.68  ; Path-index has 1,530 nodes (1,530 at peak, 1,530 added, 0 deleted).
% 0.48/0.68  ; Trie-index has 2,338 entries (2,338 at peak, 2,338 added, 0 deleted).
% 0.48/0.68  ; Trie-index has 6,105 nodes (6,105 at peak, 6,105 added, 0 deleted).
% 0.48/0.68  ; Retrieved 7,242 generalization terms in 1,342 calls.
% 0.48/0.68  ; Retrieved 1,925 instance terms in 967 calls.
% 0.48/0.68  ; Retrieved 5,778 unifiable terms in 1,488 calls.
% 0.48/0.68  ; 
% 0.48/0.68  ; The agenda of rows to process has 69 entries:
% 0.48/0.68  ;     1 with value 13              1 with value 25               7 with value 30
% 0.48/0.68  ;     1 with value 16              2 with value 26              12 with value 31
% 0.48/0.68  ;     2 with value 17              1 with value 27              18 with value 32
% 0.48/0.68  ;     4 with value 19              6 with value 28               8 with value 33
% 0.48/0.68  ;     1 with value 21              3 with value 29               1 with value 39
% 0.48/0.68  ;     1 with value 22
% 0.48/0.68  ; The agenda of rows to give has 878 entries:
% 0.48/0.68  ;    18 with value (4 18)         58 with value (4 25)          26 with value (4 32)
% 0.48/0.68  ;    33 with value (4 19)         67 with value (4 26)          24 with value (4 33)
% 0.48/0.68  ;    35 with value (4 20)         91 with value (4 27)           4 with value (4 34)
% 0.48/0.68  ;    36 with value (4 21)         95 with value (4 28)           1 with value (4 35)
% 0.48/0.68  ;    34 with value (4 22)        108 with value (4 29)           1 with value (4 37)
% 0.48/0.68  ;    46 with value (4 23)         99 with value (4 30)           1 with value (4 38)
% 0.48/0.68  ;    47 with value (4 24)         54 with value (4 31)
% 0.48/0.68  Evaluation took:
% 0.48/0.68    0.214 seconds of real time
% 0.48/0.68    0.191465 seconds of user run time
% 0.48/0.68    0.022283 seconds of system run time
% 0.48/0.68    [Run times include 0.015 seconds GC run time.]
% 0.48/0.68    0 calls to %EVAL
% 0.48/0.68    0 page faults and
% 0.48/0.68    13,759,712 bytes consed.
% 0.48/0.68  :PROOF-FOUND
% 0.48/0.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T22:16:58
% 0.48/0.68  :PROOF-FOUND
% 0.48/0.68  * 
%------------------------------------------------------------------------------