TSTP Solution File: LCL686+1.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 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 14:25:20 EDT 2022

% Result   : Theorem 0.37s 0.60s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   5 unt;   2 nHn;  10 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    r1(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

cnf(45,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ r1(X,Y)
    | ~ p2(Y)
    | p1(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(46,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ r1(X,Y)
    | p2(Y)
    | ~ p1(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(49,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | r1(X,'SKOLEMAAAV19'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(74,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | p1('SKOLEMAAAV19'(X))
    | p2('SKOLEMAAAV19'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(75,negated_conjecture,
    ( ~ r1('SKOLEMAAAV4',X)
    | ~ p2('SKOLEMAAAV19'(X))
    | ~ p1('SKOLEMAAAV19'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(79,plain,
    r1('SKOLEMAAAV4','SKOLEMAAAV19'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[49,1]) ).

cnf(105,plain,
    ( p1('SKOLEMAAAV19'('SKOLEMAAAV4'))
    | p2('SKOLEMAAAV19'('SKOLEMAAAV4')) ),
    inference('HYPERRESOLVE',[status(thm)],[74,1]) ).

cnf(477,plain,
    p1('SKOLEMAAAV19'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[45,105,79,1]) ).

cnf(478,plain,
    p2('SKOLEMAAAV19'('SKOLEMAAAV4')),
    inference('HYPERRESOLVE',[status(thm)],[46,477,79,1]) ).

cnf(479,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[75,477,1]),478]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % 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 : Mon Jul  4 10:24:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-04T10:24:57
% 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 2022-07-04T10:24:57
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.50  WARNING: In quantification, variable ?Y is being rebound.
% 0.37/0.60  
% 0.37/0.60  
% 0.37/0.60  #||
% 0.37/0.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60  % SZS output start Refutation
% See solution above
% 0.37/0.60  ||#
% 0.37/0.60  
% 0.37/0.60  ; Summary of computation:
% 0.37/0.60  ;      1237 formulas have been input or derived (from 157 formulas).
% 0.37/0.60  ;       479 (39%) were retained.  Of these,
% 0.37/0.60  ;            2 ( 0%) were simplified or subsumed later,
% 0.37/0.60  ;          477 (100%) are still being kept.
% 0.37/0.60  ; 
% 0.37/0.60  ; Run time in seconds excluding printing time:
% 0.37/0.60  ;     0.008   7%   Read assertion file          (1 call)
% 0.37/0.60  ;     0.008   7%   Assert                       (3 calls)
% 0.37/0.60  ;     0.022  19%   Process new row              (1,165 calls)
% 0.37/0.60  ;     0.025  22%   Resolution                   (312 calls)
% 0.37/0.60  ;     0.001   1%   Paramodulation               (156 calls)
% 0.37/0.60  ;     0.000   0%   Factoring                    (13 calls)
% 0.37/0.60  ;     0.000   0%   Condensing                   (222 calls)
% 0.37/0.60  ;     0.004   3%   Forward subsumption          (222 calls)
% 0.37/0.60  ;     0.003   3%   Backward subsumption         (213 calls)
% 0.37/0.60  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.37/0.60  ;     0.010   9%   Forward simplification       (1,164 calls)
% 0.37/0.60  ;     0.001   1%   Backward simplification      (479 calls)
% 0.37/0.60  ;     0.000   0%   Ordering                     (26 calls)
% 0.37/0.60  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.37/0.60  ;     0.001   1%   Purity testing               (1 call)
% 0.37/0.60  ;     0.031  27%   Other
% 0.37/0.60  ;     0.115        Total
% 0.37/0.60  ;     0.117        Real time
% 0.37/0.60  ; 
% 0.37/0.60  ; Term-hash-array has 657 terms in all.
% 0.37/0.60  ; Feature-vector-row-index has 211 entries (213 at peak, 213 added, 2 deleted).
% 0.37/0.60  ; Feature-vector-row-index has 760 nodes (764 at peak, 764 added, 4 deleted).
% 0.37/0.60  ;  Retrieved 81 possibly forward subsuming rows in 222 calls.
% 0.37/0.60  ;  Retrieved 70 possibly backward subsumed rows in 213 calls.
% 0.37/0.60  ; Path-index has 661 entries (661 at peak, 661 added, 0 deleted).
% 0.37/0.60  ; Path-index has 1,362 nodes (1,362 at peak, 1,362 added, 0 deleted).
% 0.37/0.60  ; Trie-index has 661 entries (661 at peak, 661 added, 0 deleted).
% 0.37/0.60  ; Trie-index has 1,699 nodes (1,699 at peak, 1,699 added, 0 deleted).
% 0.37/0.60  ; Retrieved 1,038 generalization terms in 1,066 calls.
% 0.37/0.60  ; Retrieved 265 instance terms in 265 calls.
% 0.37/0.60  ; Retrieved 17,333 unifiable terms in 5,694 calls.
% 0.37/0.60  ; 
% 0.37/0.60  ; The agenda of rows to process has 1 entry:
% 0.37/0.60  ;     1 with value 8
% 0.37/0.60  ; The agenda of rows to give has 322 entries:
% 0.37/0.60  ;     1 with value (4 8)          36 with value (4 14)          13 with value (4 17)
% 0.37/0.60  ;    45 with value (4 11)         48 with value (4 15)          26 with value (4 18)
% 0.37/0.60  ;    44 with value (4 12)         39 with value (4 16)          52 with value (4 19)
% 0.37/0.60  ;    18 with value (4 13)
% 0.37/0.60  Evaluation took:
% 0.37/0.60    0.117 seconds of real time
% 0.37/0.60    0.095995 seconds of user run time
% 0.37/0.60    0.021078 seconds of system run time
% 0.37/0.60    0 calls to %EVAL
% 0.37/0.60    0 page faults and
% 0.37/0.60    7,771,688 bytes consed.
% 0.37/0.60  :PROOF-FOUND
% 0.37/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T10:24:57
% 0.37/0.60  :PROOF-FOUND
% 0.37/0.60  * 
%------------------------------------------------------------------------------