TSTP Solution File: LCL206-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL206-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 14:21:09 EDT 2022

% Result   : Unsatisfiable 0.76s 0.94s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  13 unt;   0 nHn;   6 RR)
%            Number of literals    :   21 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   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 (   5 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(not(p),q))),or(not(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(not(p)),or(not(not(or(not(p),q))),not(q)))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_5]) ).

cnf(32,plain,
    theorem(or(not(X),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,11,axiom_1_3]) ).

cnf(41,plain,
    theorem(or(X,not(X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,32,axiom_1_4]) ).

cnf(46,plain,
    theorem(or(not(X),not(not(or(Y,X))))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,41,axiom_1_3]) ).

cnf(1185,plain,
    theorem(or(not(not(or(X,Y))),not(Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,46,axiom_1_4]) ).

cnf(2482,plain,
    theorem(or(X,or(not(not(or(Y,Z))),not(Z)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,1185,axiom_1_3]) ).

cnf(2483,plain,
    $false,
    inference('REWRITE',[status(thm)],[18,2482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL206-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n010.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 : Mon Jul  4 17:01:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T17:01:47
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-04T17:01:47
% 0.76/0.94  
% 0.76/0.94  
% 0.76/0.94  #||
% 0.76/0.94  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.94  % SZS output start Refutation
% See solution above
% 0.76/0.94  ||#
% 0.76/0.94  
% 0.76/0.94  ; Summary of computation:
% 0.76/0.94  ;      3414 formulas have been input or derived (from 158 formulas).
% 0.76/0.94  ;      2483 (73%) were retained.  Of these,
% 0.76/0.94  ;            1 ( 0%) were simplified or subsumed later,
% 0.76/0.94  ;         2482 (100%) are still being kept.
% 0.76/0.94  ; 
% 0.76/0.94  ; Run time in seconds excluding printing time:
% 0.76/0.94  ;     0.002   0%   Read assertion file          (1 call)
% 0.76/0.94  ;     0.000   0%   Assert                       (9 calls)
% 0.76/0.94  ;     0.211  45%   Process new row              (3,052 calls)
% 0.76/0.94  ;     0.077  16%   Resolution                   (314 calls)
% 0.76/0.94  ;     0.019   4%   Paramodulation               (157 calls)
% 0.76/0.94  ;     0.000   0%   Condensing                   (3 calls)
% 0.76/0.94  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.76/0.94  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.76/0.94  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.76/0.94  ;     0.058  12%   Forward simplification       (3,052 calls)
% 0.76/0.94  ;     0.055  12%   Backward simplification      (2,483 calls)
% 0.76/0.94  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/0.94  ;     0.000   0%   Purity testing               (1 call)
% 0.76/0.94  ;     0.052  11%   Other
% 0.76/0.94  ;     0.474        Total
% 0.76/0.94  ;     0.475        Real time
% 0.76/0.94  ; 
% 0.76/0.94  ; Term-hash-array has 5,581 terms in all.
% 0.76/0.94  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.76/0.94  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.76/0.94  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.76/0.94  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.76/0.94  ; Path-index has 5,581 entries (5,583 at peak, 5,583 added, 2 deleted).
% 0.76/0.94  ; Path-index has 2,038 nodes (2,038 at peak, 2,038 added, 0 deleted).
% 0.76/0.94  ; Trie-index has 5,581 entries (5,583 at peak, 5,583 added, 2 deleted).
% 0.76/0.94  ; Trie-index has 12,279 nodes (12,294 at peak, 12,294 added, 15 deleted).
% 0.76/0.94  ; Retrieved 19,396 generalization terms in 3,076 calls.
% 0.76/0.94  ; Retrieved 4,694 instance terms in 2,479 calls.
% 0.76/0.94  ; Retrieved 14,272 unifiable terms in 3,146 calls.
% 0.76/0.94  ; 
% 0.76/0.94  ; The agenda of rows to process has 28 entries:
% 0.76/0.94  ;     3 with value 23              1 with value 27               4 with value 31
% 0.76/0.94  ;     1 with value 25              4 with value 29               9 with value 32
% 0.76/0.94  ;     2 with value 26              3 with value 30               1 with value 37
% 0.76/0.94  ; The agenda of rows to give has 2324 entries:
% 0.76/0.94  ;    16 with value (4 19)        231 with value (4 28)          30 with value (4 36)
% 0.76/0.94  ;    57 with value (4 20)        273 with value (4 29)          30 with value (4 37)
% 0.76/0.94  ;    57 with value (4 21)        330 with value (4 30)           3 with value (4 38)
% 0.76/0.94  ;    68 with value (4 22)        330 with value (4 31)           1 with value (4 39)
% 0.76/0.94  ;    68 with value (4 23)        193 with value (4 32)           2 with value (4 43)
% 0.76/0.94  ;    82 with value (4 24)         94 with value (4 33)           1 with value (4 45)
% 0.76/0.94  ;   103 with value (4 25)         41 with value (4 34)           1 with value (4 48)
% 0.76/0.94  ;   128 with value (4 26)         22 with value (4 35)           1 with value (4 60)
% 0.76/0.94  ;   162 with value (4 27)
% 0.76/0.94  Evaluation took:
% 0.76/0.94    0.475 seconds of real time
% 0.76/0.94    0.449555 seconds of user run time
% 0.76/0.94    0.025978 seconds of system run time
% 0.76/0.94    [Run times include 0.027 seconds GC run time.]
% 0.76/0.94    0 calls to %EVAL
% 0.76/0.94    0 page faults and
% 0.76/0.94    33,183,936 bytes consed.
% 0.76/0.94  :PROOF-FOUND
% 0.76/0.94  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T17:01:48
% 0.76/0.94  :PROOF-FOUND
% 0.76/0.94  * 
%------------------------------------------------------------------------------