TSTP Solution File: LCL360-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:22:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% 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    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(prove_cn_09,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_09) ).

cnf(9,plain,
    is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_cn_09,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n026.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 : Sat Jul  2 09:59:05 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T09:59:05
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-02T09:59:05
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        20 formulas have been input or derived (from 5 formulas).
% 0.20/0.51  ;        10 (50%) were retained.  Of these,
% 0.20/0.51  ;            1 (10%) were simplified or subsumed later,
% 0.20/0.51  ;            9 (90%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (5 calls)
% 0.20/0.51  ;     0.001   4%   Process new row              (12 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (8 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (4 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (12 calls)
% 0.20/0.51  ;     0.001   4%   Backward simplification      (10 calls)
% 0.20/0.51  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  85%   Other
% 0.20/0.51  ;     0.026        Total
% 0.20/0.51  ;     0.027        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 34 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.51  ; Path-index has 28 entries (37 at peak, 37 added, 9 deleted).
% 0.20/0.51  ; Path-index has 133 nodes (153 at peak, 153 added, 20 deleted).
% 0.20/0.51  ; Trie-index has 28 entries (37 at peak, 37 added, 9 deleted).
% 0.20/0.51  ; Trie-index has 114 nodes (137 at peak, 137 added, 23 deleted).
% 0.20/0.51  ; Retrieved 2 generalization terms in 9 calls.
% 0.20/0.51  ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.51  ; Retrieved 92 unifiable terms in 45 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 8 entries:
% 0.20/0.51  ;     2 with value 17              6 with value 22
% 0.20/0.51  ; The agenda of rows to give has 4 entries:
% 0.20/0.51  ;     4 with value (4 17)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.027 seconds of real time
% 0.20/0.51    0.022883 seconds of user run time
% 0.20/0.51    0.004946 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,637,152 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T09:59:05
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------