TSTP Solution File: LCL169-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 14:20:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   1 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(implies(or(X,X),X)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(implies(p,not(p)),not(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(14,plain,
    axiom(implies(implies(X,not(X)),not(X))),
    inference('PARAMODULATE',[status(thm)],[axiom_1_2,implies_definition,theory(equality)]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_1,prove_this]),14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n009.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 06:55:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:55:37
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-04T06:55:37
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        21 formulas have been input or derived (from 8 formulas).
% 0.20/0.49  ;        17 (81%) were retained.  Of these,
% 0.20/0.49  ;           17 (100%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.001   4%   Assert                       (9 calls)
% 0.20/0.49  ;     0.001   4%   Process new row              (18 calls)
% 0.20/0.49  ;     0.001   4%   Resolution                   (14 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (7 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (2 calls)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.20/0.49  ;     0.000   0%   Forward simplification       (18 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (5 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.021  81%   Other
% 0.20/0.49  ;     0.026        Total
% 0.20/0.49  ;     0.028        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 48 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.20/0.49  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.49  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.49  ; Path-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.49  ; Path-index has 168 nodes (168 at peak, 168 added, 0 deleted).
% 0.20/0.49  ; Trie-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.49  ; Trie-index has 150 nodes (150 at peak, 150 added, 0 deleted).
% 0.20/0.49  ; Retrieved 11 generalization terms in 19 calls.
% 0.20/0.49  ; Retrieved 15 instance terms in 14 calls.
% 0.20/0.49  ; Retrieved 59 unifiable terms in 41 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of input rows to give has 2 entries:
% 0.20/0.49  ;     2 with value 16
% 0.20/0.49  ; The agenda of rows to give has 7 entries:
% 0.20/0.49  ;     3 with value (4 10)          1 with value (4 13)           2 with value (4 14)
% 0.20/0.49  ;     1 with value (4 12)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.029 seconds of real time
% 0.20/0.49    0.026122 seconds of user run time
% 0.20/0.49    0.002838 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    1,645,312 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:55:37
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------