TSTP Solution File: SYN082+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:57:28 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   4 unt;   3 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ( ~ big_f('SKOLEMAAAV1',f('SKOLEMAAAV1'))
    | big_f('SKOLEMAAAV2'(X),X)
    | ~ big_f('SKOLEMAAAV1',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel60) ).

cnf(2,negated_conjecture,
    ( ~ big_f('SKOLEMAAAV1',f('SKOLEMAAAV1'))
    | ~ big_f('SKOLEMAAAV2'(X),f('SKOLEMAAAV1'))
    | ~ big_f('SKOLEMAAAV1',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel60) ).

cnf(3,negated_conjecture,
    ( big_f('SKOLEMAAAV1',f('SKOLEMAAAV1'))
    | ~ big_f(X,'SKOLEMAAAV3')
    | big_f(X,f('SKOLEMAAAV1')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel60) ).

cnf(4,negated_conjecture,
    ( big_f('SKOLEMAAAV1',f('SKOLEMAAAV1'))
    | big_f('SKOLEMAAAV1','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel60) ).

cnf(5,plain,
    ( big_f('SKOLEMAAAV1','SKOLEMAAAV3')
    | big_f('SKOLEMAAAV2'(f('SKOLEMAAAV1')),f('SKOLEMAAAV1')) ),
    inference('HYPERRESOLVE',[status(thm)],[1,4,4]) ).

cnf(6,plain,
    big_f('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[2,5,4,4]) ).

cnf(7,plain,
    big_f('SKOLEMAAAV1',f('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[3,6]) ).

cnf(8,plain,
    ( big_f('SKOLEMAAAV2'(X),X)
    | ~ big_f('SKOLEMAAAV1',X) ),
    inference('REWRITE',[status(thm)],[1,7]) ).

cnf(9,plain,
    ( ~ big_f('SKOLEMAAAV2'(X),f('SKOLEMAAAV1'))
    | ~ big_f('SKOLEMAAAV1',X) ),
    inference('REWRITE',[status(thm)],[2,7]) ).

cnf(12,plain,
    big_f('SKOLEMAAAV2'(f('SKOLEMAAAV1')),f('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[8,7]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,7]),12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 19:39:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T19:39:18
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-11T19:39:18
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  ||#
% 0.18/0.48  
% 0.18/0.48  ; Summary of computation:
% 0.18/0.48  ;        16 formulas have been input or derived (from 10 formulas).
% 0.18/0.48  ;        13 (81%) were retained.  Of these,
% 0.18/0.48  ;            5 (38%) were simplified or subsumed later,
% 0.18/0.48  ;            8 (62%) are still being kept.
% 0.18/0.48  ; 
% 0.18/0.48  ; Run time in seconds excluding printing time:
% 0.18/0.48  ;     0.001   4%   Read assertion file          (1 call)
% 0.18/0.48  ;     0.001   4%   Assert                       (1 call)
% 0.18/0.48  ;     0.001   4%   Process new row              (13 calls)
% 0.18/0.48  ;     0.001   4%   Resolution                   (18 calls)
% 0.18/0.48  ;     0.000   0%   Paramodulation               (9 calls)
% 0.18/0.49  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (7 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.18/0.49  ;     0.001   4%   Backward subsumption         (7 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (13 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (13 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (3 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.020  80%   Other
% 0.18/0.49  ;     0.025        Total
% 0.18/0.49  ;     0.027        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 14 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 2 entries (5 at peak, 7 added, 5 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 11 nodes (39 at peak, 49 added, 38 deleted).
% 0.18/0.49  ;  Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.18/0.49  ; Path-index has 14 entries (14 at peak, 22 added, 8 deleted).
% 0.18/0.49  ; Path-index has 23 nodes (23 at peak, 29 added, 6 deleted).
% 0.18/0.49  ; Trie-index has 14 entries (14 at peak, 22 added, 8 deleted).
% 0.18/0.49  ; Trie-index has 29 nodes (29 at peak, 47 added, 18 deleted).
% 0.18/0.49  ; Retrieved 1 generalization term in 9 calls.
% 0.18/0.49  ; Retrieved 5 instance terms in 5 calls.
% 0.18/0.49  ; Retrieved 78 unifiable terms in 61 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 1 entry:
% 0.18/0.49  ;     1 with value 13
% 0.18/0.49  ; The agenda of rows to give has 3 entries:
% 0.18/0.49  ;     1 with value (4 9)           1 with value (4 10)           1 with value (4 13)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.028 seconds of real time
% 0.18/0.49    0.024817 seconds of user run time
% 0.18/0.49    0.003069 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    2,125,264 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T19:39:18
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------