TSTP Solution File: SYN070+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 11:57:19 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   8 unt;   6 nHn;  10 RR)
%            Number of literals    :   37 (   0 equ;  17 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ big_f(X)
    | big_f(Y)
    | big_g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46_1) ).

cnf(2,axiom,
    ( ~ big_f(X)
    | big_h(Y,X)
    | big_g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46_1) ).

cnf(3,axiom,
    ( ~ big_f(X)
    | ~ big_g(Y)
    | big_g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46_1) ).

cnf(4,axiom,
    ( ~ big_f(X)
    | big_g(X)
    | ~ big_f(Y)
    | big_g(Y)
    | big_j('SKOLEMAAAU1',Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46_2) ).

cnf(5,plain,
    ( ~ big_f(X)
    | big_g(X)
    | big_j('SKOLEMAAAU1',X) ),
    inference('CONDENSE',[status(thm)],[4]) ).

cnf(6,axiom,
    ( ~ big_f(X)
    | ~ big_f(Y)
    | ~ big_h(X,Y)
    | ~ big_j(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46_3) ).

cnf(7,negated_conjecture,
    big_f('SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46) ).

cnf(8,negated_conjecture,
    ~ big_g('SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel46) ).

cnf(9,plain,
    big_f(X),
    inference('UR-RESOLVE',[status(thm)],[1,7,8]) ).

cnf(10,plain,
    ( big_h(X,Y)
    | big_g(Y) ),
    inference('REWRITE',[status(thm)],[2,9]) ).

cnf(11,plain,
    ( ~ big_g(X)
    | big_g(Y) ),
    inference('REWRITE',[status(thm)],[3,9]) ).

cnf(12,plain,
    ( big_g(X)
    | big_j('SKOLEMAAAU1',X) ),
    inference('REWRITE',[status(thm)],[5,9]) ).

cnf(13,plain,
    ( ~ big_h(X,Y)
    | ~ big_j(Y,X) ),
    inference('REWRITE',[status(thm)],[6,9]) ).

cnf(14,plain,
    ~ big_g(X),
    inference('UR-RESOLVE',[status(thm)],[11,8]) ).

cnf(15,plain,
    big_j('SKOLEMAAAU1',X),
    inference('REWRITE',[status(thm)],[12,14]) ).

cnf(16,plain,
    big_h(X,Y),
    inference('REWRITE',[status(thm)],[10,14]) ).

cnf(17,plain,
    ~ big_j(X,Y),
    inference('REWRITE',[status(thm)],[13,16]) ).

cnf(18,plain,
    $false,
    inference('REWRITE',[status(thm)],[15,17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 21:05:09 EDT 2022
% 0.13/0.33  % 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 2022-07-11T21:05:09
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T21:05:09
% 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
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        23 formulas have been input or derived (from 5 formulas).
% 0.18/0.49  ;        18 (78%) were retained.  Of these,
% 0.18/0.49  ;           13 (72%) were simplified or subsumed later,
% 0.18/0.49  ;            5 (28%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (4 calls)
% 0.18/0.49  ;     0.001   4%   Process new row              (21 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (8 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (4 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (11 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (20 calls)
% 0.18/0.49  ;     0.001   4%   Backward simplification      (17 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  ;     0.022  85%   Other
% 0.18/0.49  ;     0.026        Total
% 0.18/0.49  ;     0.029        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 11 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 0 entries (5 at peak, 9 added, 9 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 1 node (13 at peak, 20 added, 19 deleted).
% 0.18/0.49  ;  Retrieved 2 possibly forward subsuming rows in 11 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.18/0.49  ; Path-index has 4 entries (12 at peak, 21 added, 17 deleted).
% 0.18/0.49  ; Path-index has 15 nodes (20 at peak, 30 added, 15 deleted).
% 0.18/0.49  ; Trie-index has 4 entries (12 at peak, 21 added, 17 deleted).
% 0.18/0.49  ; Trie-index has 11 nodes (17 at peak, 32 added, 21 deleted).
% 0.18/0.49  ; Retrieved 2 generalization terms in 10 calls.
% 0.18/0.49  ; Retrieved 12 instance terms in 7 calls.
% 0.18/0.49  ; Retrieved 25 unifiable terms in 16 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.18/0.49  ;     1 with value 0
% 0.18/0.49  ; The agenda of input rows to give has 2 entries:
% 0.18/0.49  ;     2 with value 4
% 0.18/0.49  ; The agenda of rows to give has 2 entries:
% 0.18/0.49  ;     2 with value (4 4)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.03 seconds of real time
% 0.18/0.49    0.02119 seconds of user run time
% 0.18/0.49    0.007919 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    2,268,480 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:05:10
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------