TSTP Solution File: LCL182-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL182-1 : 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 14:20:50 EDT 2022

% Result   : Unsatisfiable 9.69s 9.87s
% Output   : Refutation 9.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% 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   :   24 (   1 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(axiom_1_6,axiom,
    axiom(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

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(or(not(p),q)),or(not(not(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(17,plain,
    ~ theorem(or(not(not(q)),or(not(or(not(p),q)),not(p)))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_5]) ).

cnf(38,plain,
    theorem(or(not(or(X,or(Y,Y))),or(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,11,axiom_1_6]) ).

cnf(1164,plain,
    theorem(or(not(or(not(X),Y)),or(not(or(Y,X)),Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,38,axiom_1_6]) ).

cnf(10176,plain,
    theorem(or(not(or(X,not(Y))),or(not(or(X,Y)),X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,1164,axiom_1_4]) ).

cnf(32489,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,10176,17,axiom_1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.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 : Mon Jul  4 17:15:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-04T17:15:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-04T17:15:57
% 9.69/9.87  
% 9.69/9.87  
% 9.69/9.87  #||
% 9.69/9.87  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.69/9.87  % SZS output start Refutation
% See solution above
% 9.69/9.87  ||#
% 9.69/9.87  
% 9.69/9.87  ; Summary of computation:
% 9.69/9.87  ;     36188 formulas have been input or derived (from 588 formulas).
% 9.69/9.87  ;     32489 (90%) were retained.  Of these,
% 9.69/9.87  ;            2 ( 0%) were simplified or subsumed later,
% 9.69/9.87  ;        32487 (100%) are still being kept.
% 9.69/9.87  ; 
% 9.69/9.87  ; Run time in seconds excluding printing time:
% 9.69/9.87  ;     0.003   0%   Read assertion file          (1 call)
% 9.69/9.87  ;     0.000   0%   Assert                       (9 calls)
% 9.69/9.87  ;     4.401  47%   Process new row              (34,747 calls)
% 9.69/9.87  ;     1.870  20%   Resolution                   (1,174 calls)
% 9.69/9.87  ;     0.467   5%   Paramodulation               (587 calls)
% 9.69/9.87  ;     0.000   0%   Condensing                   (3 calls)
% 9.69/9.87  ;     0.000   0%   Forward subsumption          (3 calls)
% 9.69/9.87  ;     0.000   0%   Backward subsumption         (3 calls)
% 9.69/9.87  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 9.69/9.87  ;     0.930  10%   Forward simplification       (34,747 calls)
% 9.69/9.87  ;     1.580  17%   Backward simplification      (32,489 calls)
% 9.69/9.87  ;     0.000   0%   Sortal reasoning             (32 calls)
% 9.69/9.87  ;     0.000   0%   Purity testing               (1 call)
% 9.69/9.87  ;     0.156   2%   Other
% 9.69/9.87  ;     9.407        Total
% 9.69/9.87  ;     9.409        Real time
% 9.69/9.88  ; 
% 9.69/9.88  ; Term-hash-array has 67,323 terms in all.
% 9.69/9.88  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 9.69/9.88  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 9.69/9.88  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 9.69/9.88  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 9.69/9.88  ; Path-index has 67,323 entries (67,323 at peak, 67,325 added, 2 deleted).
% 9.69/9.88  ; Path-index has 4,992 nodes (4,992 at peak, 4,992 added, 0 deleted).
% 9.69/9.88  ; Trie-index has 67,323 entries (67,323 at peak, 67,325 added, 2 deleted).
% 9.69/9.88  ; Trie-index has 137,018 nodes (137,018 at peak, 137,018 added, 0 deleted).
% 9.69/9.88  ; Retrieved 350,065 generalization terms in 34,826 calls.
% 9.69/9.88  ; Retrieved 72,241 instance terms in 32,485 calls.
% 9.69/9.88  ; Retrieved 169,908 unifiable terms in 23,779 calls.
% 9.69/9.88  ; 
% 9.69/9.88  ; The agenda of rows to process has 102 entries:
% 9.69/9.88  ;     1 with value 19              2 with value 29               5 with value 36
% 9.69/9.88  ;     1 with value 21              1 with value 30              16 with value 37
% 9.69/9.88  ;     4 with value 23              3 with value 32              23 with value 38
% 9.69/9.88  ;     1 with value 24              5 with value 33              17 with value 39
% 9.69/9.88  ;     1 with value 26              3 with value 34               2 with value 40
% 9.69/9.88  ;     1 with value 28             15 with value 35               1 with value 41
% 9.69/9.88  ; The agenda of rows to give has 31899 entries:
% 9.69/9.88  ;    75 with value (4 22)       3672 with value (4 34)          10 with value (4 46)
% 9.69/9.88  ;   231 with value (4 23)       3826 with value (4 35)           7 with value (4 47)
% 9.69/9.88  ;   210 with value (4 24)       4393 with value (4 36)           5 with value (4 48)
% 9.69/9.88  ;   312 with value (4 25)       4211 with value (4 37)           8 with value (4 49)
% 9.69/9.88  ;   360 with value (4 26)       2609 with value (4 38)           3 with value (4 50)
% 9.69/9.88  ;   362 with value (4 27)       1754 with value (4 39)           2 with value (4 51)
% 9.69/9.88  ;   619 with value (4 28)        527 with value (4 40)           2 with value (4 52)
% 9.69/9.88  ;   790 with value (4 29)        149 with value (4 41)           5 with value (4 53)
% 9.69/9.88  ;  1067 with value (4 30)         14 with value (4 42)           2 with value (4 54)
% 9.69/9.88  ;  1764 with value (4 31)         18 with value (4 43)           1 with value (4 60)
% 9.69/9.88  ;  2005 with value (4 32)          5 with value (4 44)           1 with value (4 62)
% 9.69/9.88  ;  2876 with value (4 33)          4 with value (4 45)
% 9.69/9.88  Evaluation took:
% 9.69/9.88    9.412 seconds of real time
% 9.69/9.88    8.938646 seconds of user run time
% 9.69/9.88    0.473294 seconds of system run time
% 9.69/9.88    [Run times include 1.777 seconds GC run time.]
% 9.69/9.88    0 calls to %EVAL
% 9.69/9.88    0 page faults and
% 9.69/9.88    497,313,224 bytes consed.
% 9.69/9.88  :PROOF-FOUND
% 9.69/9.88  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T17:16:06
% 9.69/9.88  :PROOF-FOUND
% 9.69/9.88  * 
%------------------------------------------------------------------------------