TSTP Solution File: LCL686+1.001 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 0.09s 0.35s
% Output   : Refutation 0.09s
% 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(9,negated_conjecture,
    ( ~ r1('SKOLEMAAAL4',X)
    | ~ r1(X,Y)
    | ~ p2(Y)
    | p1(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(10,negated_conjecture,
    ( ~ r1('SKOLEMAAAL4',X)
    | ~ r1(X,Y)
    | p2(Y)
    | ~ p1(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(13,negated_conjecture,
    ( ~ r1('SKOLEMAAAL4',X)
    | r1(X,'SKOLEMAAAL7'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(14,negated_conjecture,
    ( ~ r1('SKOLEMAAAL4',X)
    | p1('SKOLEMAAAL7'(X))
    | p2('SKOLEMAAAL7'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(15,negated_conjecture,
    ( ~ r1('SKOLEMAAAL4',X)
    | ~ p2('SKOLEMAAAL7'(X))
    | ~ p1('SKOLEMAAAL7'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(19,plain,
    r1('SKOLEMAAAL4','SKOLEMAAAL7'('SKOLEMAAAL4')),
    inference('HYPERRESOLVE',[status(thm)],[13,1]) ).

cnf(21,plain,
    ( p1('SKOLEMAAAL7'('SKOLEMAAAL4'))
    | p2('SKOLEMAAAL7'('SKOLEMAAAL4')) ),
    inference('HYPERRESOLVE',[status(thm)],[14,1]) ).

cnf(40,plain,
    p1('SKOLEMAAAL7'('SKOLEMAAAL4')),
    inference('HYPERRESOLVE',[status(thm)],[9,21,19,1]) ).

cnf(41,plain,
    p2('SKOLEMAAAL7'('SKOLEMAAAL4')),
    inference('HYPERRESOLVE',[status(thm)],[10,40,19,1]) ).

cnf(42,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,40,1]),41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.06  % Problem  : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.07  % Command  : run-snark %s %d
% 0.06/0.25  % Computer : n004.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 600
% 0.06/0.25  % DateTime : Tue Jul  5 00:11:37 EDT 2022
% 0.06/0.25  % CPUTime  : 
% 0.09/0.32  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33  * 
% 0.09/0.33  * 
% 0.09/0.33  #<PACKAGE "SNARK-USER">
% 0.09/0.33  * 
% 0.09/0.33  SNARK-TPTP-OPTIONS
% 0.09/0.33  * 
% 0.09/0.33  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.09/0.33   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.09/0.33   (USE-FACTORING :POS)
% 0.09/0.33   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.09/0.33   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.09/0.33   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.09/0.33   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.09/0.33   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.09/0.33   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.09/0.33   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.09/0.33   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.09/0.33   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.09/0.33   (DECLARE-TPTP-SYMBOLS2))
% 0.09/0.33  * 
% 0.09/0.33  "."
% 0.09/0.33  * 
% 0.09/0.33  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T00:11:37
% 0.09/0.33  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-05T00:11:37
% 0.09/0.34  WARNING: In quantification, variable ?X is being rebound.
% 0.09/0.34  WARNING: In quantification, variable ?X is being rebound.
% 0.09/0.34  WARNING: In quantification, variable ?Y is being rebound.
% 0.09/0.34  WARNING: In quantification, variable ?Y is being rebound.
% 0.09/0.34  WARNING: In quantification, variable ?Y is being rebound.
% 0.09/0.34  WARNING: In quantification, variable ?Y is being rebound.
% 0.09/0.35  
% 0.09/0.35  
% 0.09/0.35  #||
% 0.09/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % SZS output start Refutation
% See solution above
% 0.09/0.35  ||#
% 0.09/0.35  
% 0.09/0.35  ; Summary of computation:
% 0.09/0.35  ;       104 formulas have been input or derived (from 29 formulas).
% 0.09/0.35  ;        42 (40%) were retained.  Of these,
% 0.09/0.35  ;            1 ( 2%) were simplified or subsumed later,
% 0.09/0.35  ;           41 (98%) are still being kept.
% 0.09/0.35  ; 
% 0.09/0.35  ; Run time in seconds excluding printing time:
% 0.09/0.35  ;     0.001   7%   Read assertion file          (1 call)
% 0.09/0.35  ;     0.001   7%   Assert                       (3 calls)
% 0.09/0.35  ;     0.003  20%   Process new row              (82 calls)
% 0.09/0.35  ;     0.001   7%   Resolution                   (56 calls)
% 0.09/0.35  ;     0.000   0%   Paramodulation               (28 calls)
% 0.09/0.35  ;     0.000   0%   Factoring                    (1 call)
% 0.09/0.35  ;     0.000   0%   Condensing                   (13 calls)
% 0.09/0.35  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.09/0.35  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.09/0.35  ;     0.000   0%   Forward simplification       (82 calls)
% 0.09/0.35  ;     0.000   0%   Backward simplification      (42 calls)
% 0.09/0.35  ;     0.000   0%   Ordering                     (2 calls)
% 0.09/0.35  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.09/0.35  ;     0.000   0%   Purity testing               (1 call)
% 0.09/0.35  ;     0.009  60%   Other
% 0.09/0.35  ;     0.015        Total
% 0.09/0.35  ;     0.017        Real time
% 0.09/0.35  ; 
% 0.09/0.35  ; Term-hash-array has 61 terms in all.
% 0.09/0.35  ; Feature-vector-row-index has 12 entries (13 at peak, 13 added, 1 deleted).
% 0.09/0.35  ; Feature-vector-row-index has 49 nodes (53 at peak, 53 added, 4 deleted).
% 0.09/0.35  ;  Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.09/0.35  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.09/0.35  ; Path-index has 65 entries (65 at peak, 66 added, 1 deleted).
% 0.09/0.35  ; Path-index has 110 nodes (110 at peak, 111 added, 1 deleted).
% 0.09/0.35  ; Trie-index has 65 entries (65 at peak, 66 added, 1 deleted).
% 0.09/0.35  ; Trie-index has 128 nodes (128 at peak, 129 added, 1 deleted).
% 0.09/0.35  ; Retrieved 76 generalization terms in 90 calls.
% 0.09/0.35  ; Retrieved 28 instance terms in 28 calls.
% 0.09/0.35  ; Retrieved 1,010 unifiable terms in 408 calls.
% 0.09/0.35  ; 
% 0.09/0.35  ; The agenda of rows to process has 1 entry:
% 0.09/0.35  ;     1 with value 8
% 0.09/0.35  ; The agenda of rows to give has 13 entries:
% 0.09/0.35  ;     1 with value (4 8)           9 with value (4 11)           3 with value (4 16)
% 0.09/0.35  Evaluation took:
% 0.09/0.35    0.017 seconds of real time
% 0.09/0.35    0.014461 seconds of user run time
% 0.09/0.35    0.002258 seconds of system run time
% 0.09/0.35    0 calls to %EVAL
% 0.09/0.35    0 page faults and
% 0.09/0.35    2,313,160 bytes consed.
% 0.09/0.35  :PROOF-FOUND
% 0.09/0.35  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T00:11:38
% 0.09/0.35  :PROOF-FOUND
% 0.09/0.35  * 
%------------------------------------------------------------------------------