TSTP Solution File: LCL203-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL203-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:21:06 EDT 2022

% Result   : Unsatisfiable 0.80s 0.98s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;   6 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :   21 (   3 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(axiom_1_5,axiom,
    axiom(or(not(or(X,or(Y,Z))),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

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

cnf(49,plain,
    theorem(or(not(X),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,11,axiom_1_3]) ).

cnf(64,plain,
    theorem(or(X,not(X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,49,axiom_1_4]) ).

cnf(73,plain,
    theorem(or(not(X),not(not(or(Y,X))))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,64,axiom_1_3]) ).

cnf(1591,plain,
    theorem(or(not(not(or(X,Y))),not(Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,73,axiom_1_4]) ).

cnf(2729,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_2,18,axiom_1_3]),1591]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL203-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 21:59:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:59:14
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-04T21:59:14
% 0.80/0.98  
% 0.80/0.98  
% 0.80/0.98  #||
% 0.80/0.98  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.98  % SZS output start Refutation
% See solution above
% 0.80/0.98  ||#
% 0.80/0.98  
% 0.80/0.98  ; Summary of computation:
% 0.80/0.98  ;      3566 formulas have been input or derived (from 149 formulas).
% 0.80/0.98  ;      2729 (77%) were retained.  Of these,
% 0.80/0.98  ;            2 ( 0%) were simplified or subsumed later,
% 0.80/0.98  ;         2727 (100%) are still being kept.
% 0.80/0.98  ; 
% 0.80/0.98  ; Run time in seconds excluding printing time:
% 0.80/0.98  ;     0.002   0%   Read assertion file          (1 call)
% 0.80/0.98  ;     0.001   0%   Assert                       (9 calls)
% 0.80/0.98  ;     0.286  55%   Process new row              (3,217 calls)
% 0.80/0.98  ;     0.068  13%   Resolution                   (296 calls)
% 0.80/0.98  ;     0.016   3%   Paramodulation               (148 calls)
% 0.80/0.98  ;     0.000   0%   Condensing                   (3 calls)
% 0.80/0.98  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.80/0.98  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.80/0.98  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.80/0.98  ;     0.052  10%   Forward simplification       (3,217 calls)
% 0.80/0.98  ;     0.049   9%   Backward simplification      (2,729 calls)
% 0.80/0.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.80/0.98  ;     0.000   0%   Purity testing               (1 call)
% 0.80/0.98  ;     0.046   9%   Other
% 0.80/0.98  ;     0.520        Total
% 0.80/0.98  ;     0.524        Real time
% 0.80/0.99  ; 
% 0.80/0.99  ; Term-hash-array has 5,968 terms in all.
% 0.80/0.99  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.80/0.99  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.80/0.99  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.80/0.99  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.80/0.99  ; Path-index has 5,968 entries (5,968 at peak, 5,970 added, 2 deleted).
% 0.80/0.99  ; Path-index has 1,715 nodes (1,715 at peak, 1,715 added, 0 deleted).
% 0.80/0.99  ; Trie-index has 5,968 entries (5,968 at peak, 5,970 added, 2 deleted).
% 0.80/0.99  ; Trie-index has 11,850 nodes (11,850 at peak, 11,850 added, 0 deleted).
% 0.80/0.99  ; Retrieved 18,980 generalization terms in 3,235 calls.
% 0.80/0.99  ; Retrieved 5,199 instance terms in 2,725 calls.
% 0.80/0.99  ; Retrieved 16,145 unifiable terms in 3,179 calls.
% 0.80/0.99  ; 
% 0.80/0.99  ; The agenda of rows to process has 85 entries:
% 0.80/0.99  ;     1 with value 17              1 with value 25               8 with value 32
% 0.80/0.99  ;     1 with value 19              1 with value 28              15 with value 33
% 0.80/0.99  ;     3 with value 20              3 with value 29              24 with value 34
% 0.80/0.99  ;     1 with value 21              5 with value 30              15 with value 35
% 0.80/0.99  ;     1 with value 22              4 with value 31               1 with value 50
% 0.80/0.99  ;     1 with value 24
% 0.80/0.99  ; The agenda of rows to give has 2578 entries:
% 0.80/0.99  ;     1 with value (4 14)        145 with value (4 26)          94 with value (4 34)
% 0.80/0.99  ;    49 with value (4 19)        250 with value (4 27)           9 with value (4 35)
% 0.80/0.99  ;    50 with value (4 20)        337 with value (4 28)           8 with value (4 36)
% 0.80/0.99  ;    56 with value (4 21)        268 with value (4 29)           2 with value (4 37)
% 0.80/0.99  ;    66 with value (4 22)        361 with value (4 30)           1 with value (4 38)
% 0.80/0.99  ;    81 with value (4 23)        262 with value (4 31)           1 with value (4 39)
% 0.80/0.99  ;   102 with value (4 24)        177 with value (4 32)           2 with value (4 43)
% 0.80/0.99  ;   148 with value (4 25)        108 with value (4 33)
% 0.80/0.99  Evaluation took:
% 0.80/0.99    0.525 seconds of real time
% 0.80/0.99    0.498301 seconds of user run time
% 0.80/0.99    0.023538 seconds of system run time
% 0.80/0.99    [Run times include 0.028 seconds GC run time.]
% 0.80/0.99    0 calls to %EVAL
% 0.80/0.99    0 page faults and
% 0.80/0.99    34,971,048 bytes consed.
% 0.80/0.99  :PROOF-FOUND
% 0.80/0.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T21:59:15
% 0.80/0.99  :PROOF-FOUND
% 0.80/0.99  * 
%------------------------------------------------------------------------------