TSTP Solution File: LCL007-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:19:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

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

cnf(ec_4,axiom,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).

cnf(ec_5,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(X,equivalent(Y,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).

cnf(prove_ec_2,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).

cnf(6,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(X,Y),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,ec_5,ec_4]) ).

cnf(7,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_ec_2,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul  3 02:32:55 EDT 2022
% 0.13/0.34  % 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 2022-07-03T02:32:56
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T02:32:56
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        15 formulas have been input or derived (from 4 formulas).
% 0.20/0.50  ;         7 (47%) were retained.  Of these,
% 0.20/0.50  ;            1 (14%) were simplified or subsumed later,
% 0.20/0.50  ;            6 (86%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.000   0%   Assert                       (4 calls)
% 0.20/0.50  ;     0.001   4%   Process new row              (8 calls)
% 0.20/0.50  ;     0.000   0%   Resolution                   (6 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (3 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (8 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (7 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.022  92%   Other
% 0.20/0.50  ;     0.024        Total
% 0.20/0.50  ;     0.027        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 23 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.50  ; Path-index has 17 entries (26 at peak, 26 added, 9 deleted).
% 0.20/0.50  ; Path-index has 73 nodes (94 at peak, 94 added, 21 deleted).
% 0.20/0.50  ; Trie-index has 17 entries (26 at peak, 26 added, 9 deleted).
% 0.20/0.50  ; Trie-index has 67 nodes (97 at peak, 97 added, 30 deleted).
% 0.20/0.50  ; Retrieved 4 generalization terms in 5 calls.
% 0.20/0.50  ; Retrieved 7 instance terms in 5 calls.
% 0.20/0.50  ; Retrieved 66 unifiable terms in 33 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 4 entries:
% 0.20/0.50  ;     4 with value 18
% 0.20/0.50  ; The agenda of rows to give has 2 entries:
% 0.20/0.50  ;     1 with value (4 13)          1 with value (4 17)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.027 seconds of real time
% 0.20/0.50    0.024786 seconds of user run time
% 0.20/0.50    0.002053 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,612,760 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T02:32:56
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------