TSTP Solution File: SYN068+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 11:57:17 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ big_f(X)
    | big_g('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).

cnf(4,axiom,
    ( ~ big_f(X)
    | ~ big_h(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).

cnf(5,axiom,
    big_j('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).

cnf(6,axiom,
    ( ~ big_g(X)
    | big_h('SKOLEMAAAV3',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).

cnf(7,negated_conjecture,
    ( ~ big_j(X)
    | big_f(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44) ).

cnf(8,plain,
    big_f('SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[7,5]) ).

cnf(9,plain,
    big_g('SKOLEMAAAV2'('SKOLEMAAAV3')),
    inference('HYPERRESOLVE',[status(thm)],[3,8]) ).

cnf(12,plain,
    ~ big_h('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3')),
    inference('UR-RESOLVE',[status(thm)],[4,8]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,9]),12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 00:31:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:31:10
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T00:31:10
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;        18 formulas have been input or derived (from 10 formulas).
% 0.21/0.53  ;        13 (72%) were retained.  Of these,
% 0.21/0.53  ;           13 (100%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.001   4%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   4%   Assert                       (3 calls)
% 0.21/0.53  ;     0.002   8%   Process new row              (16 calls)
% 0.21/0.53  ;     0.000   0%   Resolution                   (18 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (9 calls)
% 0.21/0.53  ;     0.000   0%   Condensing                   (6 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.21/0.53  ;     0.000   0%   Forward simplification       (16 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (13 calls)
% 0.21/0.53  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.021  81%   Other
% 0.21/0.53  ;     0.026        Total
% 0.21/0.53  ;     0.028        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 18 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.21/0.53  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.21/0.53  ; Path-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.53  ; Path-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.21/0.53  ; Retrieved 4 generalization terms in 7 calls.
% 0.21/0.53  ; Retrieved 6 instance terms in 6 calls.
% 0.21/0.53  ; Retrieved 43 unifiable terms in 39 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to give has 3 entries:
% 0.21/0.53  ;     1 with value (4 7)           2 with value (4 8)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.028 seconds of real time
% 0.21/0.53    0.022119 seconds of user run time
% 0.21/0.53    0.006146 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    1,678,376 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:31:10
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------