TSTP Solution File: LCL211-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL211-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:21:13 EDT 2022

% Result   : Unsatisfiable 1.91s 2.07s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% 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   :   19 (   3 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_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(not(q)),or(not(or(p,q)),p))),
    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(X,not(q))),or(not(or(p,q)),p))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,prove_this,axiom_1_3]) ).

cnf(36,plain,
    theorem(or(not(or(X,or(Y,Y))),or(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,11,axiom_1_6]) ).

cnf(3717,plain,
    ~ theorem(or(not(or(not(q),X)),or(not(or(p,q)),p))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,20,axiom_1_4]) ).

cnf(9203,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,3717,axiom_1_6,36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL211-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 17:32:41 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T17:32:41
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T17:32:41
% 1.91/2.07  
% 1.91/2.07  
% 1.91/2.07  #||
% 1.91/2.07  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.91/2.07  % SZS output start Refutation
% See solution above
% 1.91/2.07  ||#
% 1.91/2.07  
% 1.91/2.07  ; Summary of computation:
% 1.91/2.07  ;     10820 formulas have been input or derived (from 305 formulas).
% 1.91/2.07  ;      9203 (85%) were retained.  Of these,
% 1.91/2.07  ;         9203 (100%) are still being kept.
% 1.91/2.07  ; 
% 1.91/2.07  ; Run time in seconds excluding printing time:
% 1.91/2.07  ;     0.003   0%   Read assertion file          (1 call)
% 1.91/2.07  ;     0.000   0%   Assert                       (9 calls)
% 1.91/2.07  ;     0.754  47%   Process new row              (10,124 calls)
% 1.91/2.07  ;     0.234  15%   Resolution                   (608 calls)
% 1.91/2.07  ;     0.066   4%   Paramodulation               (304 calls)
% 1.91/2.07  ;     0.000   0%   Condensing                   (3 calls)
% 1.91/2.07  ;     0.001   0%   Forward subsumption          (3 calls)
% 1.91/2.07  ;     0.000   0%   Backward subsumption         (3 calls)
% 1.91/2.07  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 1.91/2.07  ;     0.253  16%   Forward simplification       (10,124 calls)
% 1.91/2.07  ;     0.213  13%   Backward simplification      (9,203 calls)
% 1.91/2.07  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.91/2.07  ;     0.000   0%   Purity testing               (1 call)
% 1.91/2.07  ;     0.067   4%   Other
% 1.91/2.07  ;     1.591        Total
% 1.91/2.07  ;     1.593        Real time
% 1.91/2.07  ; 
% 1.91/2.07  ; Term-hash-array has 19,443 terms in all.
% 1.91/2.07  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 1.91/2.07  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 1.91/2.07  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 1.91/2.07  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 1.91/2.07  ; Path-index has 19,445 entries (19,445 at peak, 19,445 added, 0 deleted).
% 1.91/2.07  ; Path-index has 2,885 nodes (2,885 at peak, 2,885 added, 0 deleted).
% 1.91/2.07  ; Trie-index has 19,445 entries (19,445 at peak, 19,445 added, 0 deleted).
% 1.91/2.07  ; Trie-index has 41,697 nodes (41,697 at peak, 41,697 added, 0 deleted).
% 1.91/2.07  ; Retrieved 76,753 generalization terms in 10,162 calls.
% 1.91/2.07  ; Retrieved 19,272 instance terms in 9,199 calls.
% 1.91/2.07  ; Retrieved 49,636 unifiable terms in 8,660 calls.
% 1.91/2.07  ; 
% 1.91/2.07  ; The agenda of rows to process has 160 entries:
% 1.91/2.07  ;     1 with value 14              2 with value 25              18 with value 34
% 1.91/2.07  ;     1 with value 16              1 with value 26              28 with value 35
% 1.91/2.07  ;     1 with value 18              1 with value 28              32 with value 36
% 1.91/2.07  ;     2 with value 19              3 with value 29              29 with value 37
% 1.91/2.07  ;     5 with value 21              6 with value 30               1 with value 39
% 1.91/2.07  ;     1 with value 22              3 with value 31               1 with value 40
% 1.91/2.07  ;     1 with value 23              7 with value 32               1 with value 44
% 1.91/2.07  ;     3 with value 24             11 with value 33               1 with value 46
% 1.91/2.07  ; The agenda of rows to give has 8898 entries:
% 1.91/2.07  ;    42 with value (4 20)       1053 with value (4 30)           1 with value (4 40)
% 1.91/2.07  ;   129 with value (4 21)       1201 with value (4 31)           3 with value (4 41)
% 1.91/2.07  ;    97 with value (4 22)       1245 with value (4 32)           1 with value (4 42)
% 1.91/2.07  ;   153 with value (4 23)       1042 with value (4 33)           5 with value (4 43)
% 1.91/2.07  ;   180 with value (4 24)        772 with value (4 34)           3 with value (4 44)
% 1.91/2.07  ;   194 with value (4 25)        482 with value (4 35)           1 with value (4 46)
% 1.91/2.07  ;   302 with value (4 26)        172 with value (4 36)           1 with value (4 48)
% 1.91/2.07  ;   393 with value (4 27)         86 with value (4 37)           1 with value (4 52)
% 1.91/2.07  ;   553 with value (4 28)          6 with value (4 38)           1 with value (4 60)
% 1.91/2.07  ;   776 with value (4 29)          3 with value (4 39)
% 1.91/2.07  Evaluation took:
% 1.91/2.07    1.594 seconds of real time
% 1.91/2.07    1.491717 seconds of user run time
% 1.91/2.07    0.102039 seconds of system run time
% 1.91/2.07    [Run times include 0.231 seconds GC run time.]
% 1.91/2.07    0 calls to %EVAL
% 1.91/2.07    0 page faults and
% 1.91/2.07    124,986,560 bytes consed.
% 1.91/2.07  :PROOF-FOUND
% 1.91/2.07  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T17:32:43
% 1.91/2.07  :PROOF-FOUND
% 1.91/2.07  * 
%------------------------------------------------------------------------------