TSTP Solution File: SYN069+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN069+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 11:57:18 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   18 (   9 unt;   2 nHn;  14 RR)
%            Number of literals    :   31 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ big_f(X)
    | big_g('SKOLEMAAAV1'(X))
    | big_g(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).

cnf(2,plain,
    ( ~ big_f(X)
    | big_g('SKOLEMAAAV1'(X)) ),
    inference('CONDENSE',[status(thm)],[1]) ).

cnf(4,axiom,
    ( ~ big_f(X)
    | big_h(X,'SKOLEMAAAV1'(X))
    | big_h(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).

cnf(5,plain,
    ( ~ big_f(X)
    | big_h(X,'SKOLEMAAAV1'(X)) ),
    inference('CONDENSE',[status(thm)],[4]) ).

cnf(8,axiom,
    ( ~ big_f(X)
    | ~ big_j(X,'SKOLEMAAAV1'(X))
    | big_k(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).

cnf(9,axiom,
    ( ~ big_l(X)
    | ~ big_k(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_2) ).

cnf(10,axiom,
    big_f('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).

cnf(11,axiom,
    ( ~ big_h('SKOLEMAAAV2',X)
    | big_l(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).

cnf(12,axiom,
    ( ~ big_g(X)
    | ~ big_h('SKOLEMAAAV2',X)
    | big_j('SKOLEMAAAV2',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).

cnf(14,negated_conjecture,
    ( ~ big_f(X)
    | big_h(X,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45) ).

cnf(15,plain,
    big_g('SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[2,10]) ).

cnf(17,plain,
    big_h('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[5,10]) ).

cnf(18,plain,
    big_h('SKOLEMAAAV2','SKOLEMAAAV3'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[14,10]) ).

cnf(20,plain,
    big_j('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[12,17,15]) ).

cnf(21,plain,
    big_l('SKOLEMAAAV3'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[11,18]) ).

cnf(24,plain,
    ~ big_k('SKOLEMAAAV3'('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[9,21]) ).

cnf(25,plain,
    big_k(X),
    inference('HYPERRESOLVE',[status(thm)],[8,20,10]) ).

cnf(26,plain,
    $false,
    inference('REWRITE',[status(thm)],[24,25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN069+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 18:07:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T18:07:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T18:07:38
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        44 formulas have been input or derived (from 19 formulas).
% 0.19/0.50  ;        26 (59%) were retained.  Of these,
% 0.19/0.50  ;            7 (27%) were simplified or subsumed later,
% 0.19/0.50  ;           19 (73%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   4%   Assert                       (4 calls)
% 0.19/0.50  ;     0.002   7%   Process new row              (27 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (36 calls)
% 0.19/0.50  ;     0.001   4%   Paramodulation               (18 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (14 calls)
% 0.19/0.50  ;     0.001   4%   Forward subsumption          (14 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (27 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (24 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.020  74%   Other
% 0.19/0.50  ;     0.027        Total
% 0.19/0.50  ;     0.031        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 29 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 8 entries (10 at peak, 11 added, 3 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 20 nodes (26 at peak, 28 added, 8 deleted).
% 0.19/0.50  ;  Retrieved 4 possibly forward subsuming rows in 14 calls.
% 0.19/0.50  ;  Retrieved 1 possibly backward subsumed row in 11 calls.
% 0.19/0.50  ; Path-index has 27 entries (30 at peak, 32 added, 5 deleted).
% 0.19/0.50  ; Path-index has 52 nodes (54 at peak, 57 added, 5 deleted).
% 0.19/0.50  ; Trie-index has 27 entries (30 at peak, 32 added, 5 deleted).
% 0.19/0.50  ; Trie-index has 50 nodes (54 at peak, 59 added, 9 deleted).
% 0.19/0.50  ; Retrieved 0 generalization terms in 8 calls.
% 0.19/0.50  ; Retrieved 15 instance terms in 12 calls.
% 0.19/0.50  ; Retrieved 132 unifiable terms in 119 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.50  ;     1 with value 0
% 0.19/0.50  ; The agenda of rows to process has 4 entries:
% 0.19/0.50  ;     3 with value 6               1 with value 7
% 0.19/0.50  ; The agenda of rows to give has 2 entries:
% 0.19/0.50  ;     1 with value (4 6)           1 with value (4 8)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.031 seconds of real time
% 0.19/0.50    0.02084 seconds of user run time
% 0.19/0.50    0.009796 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,394,784 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T18:07:38
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------