TSTP Solution File: SYN081-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN081-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:57:27 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   2 unt;   2 nHn;   3 RR)
%            Number of literals    :   10 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_f(X)
    | ~ big_f(f(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,axiom,
    ( big_f(f(X))
    | big_f(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(prove_this,negated_conjecture,
    ( ~ big_f(X)
    | big_f(f(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(4,plain,
    ( big_f(X)
    | big_f(f(f(X))) ),
    inference('HYPERRESOLVE',[status(thm)],[prove_this,clause_2]) ).

cnf(5,plain,
    big_f(X),
    inference('HYPERRESOLVE',[status(thm)],[clause_1,4,clause_2]) ).

cnf(6,plain,
    $false,
    inference('REWRITE',[status(thm)],[clause_1,5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN081-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n015.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 13:34:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:34:24
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T13:34:24
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;        13 formulas have been input or derived (from 5 formulas).
% 0.18/0.48  ;         6 (46%) were retained.  Of these,
% 0.18/0.48  ;            4 (67%) were simplified or subsumed later,
% 0.18/0.48  ;            2 (33%) 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  ;     0.000   0%   Assert                       (3 calls)
% 0.18/0.48  ;     0.001   4%   Process new row              (8 calls)
% 0.18/0.48  ;     0.000   0%   Resolution                   (8 calls)
% 0.18/0.48  ;     0.000   0%   Paramodulation               (4 calls)
% 0.18/0.48  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.48  ;     0.001   4%   Condensing                   (6 calls)
% 0.18/0.48  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.18/0.48  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.18/0.48  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.18/0.48  ;     0.000   0%   Forward simplification       (8 calls)
% 0.18/0.48  ;     0.000   0%   Backward simplification      (6 calls)
% 0.18/0.48  ;     0.000   0%   Ordering                     (3 calls)
% 0.18/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.021  88%   Other
% 0.18/0.48  ;     0.024        Total
% 0.18/0.48  ;     0.025        Real time
% 0.18/0.48  ; 
% 0.18/0.48  ; Term-hash-array has 5 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 0 entries (4 at peak, 4 added, 4 deleted).
% 0.18/0.48  ; Feature-vector-row-index has 1 node (11 at peak, 11 added, 10 deleted).
% 0.18/0.48  ;  Retrieved 3 possibly forward subsuming rows in 6 calls.
% 0.18/0.48  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.48  ; Path-index has 1 entry (5 at peak, 5 added, 4 deleted).
% 0.18/0.48  ; Path-index has 7 nodes (11 at peak, 11 added, 4 deleted).
% 0.18/0.48  ; Trie-index has 1 entry (5 at peak, 5 added, 4 deleted).
% 0.18/0.48  ; Trie-index has 3 nodes (11 at peak, 11 added, 8 deleted).
% 0.18/0.48  ; Retrieved 1 generalization term in 1 call.
% 0.18/0.48  ; Retrieved 1 instance term in 1 call.
% 0.18/0.48  ; Retrieved 34 unifiable terms in 20 calls.
% 0.18/0.48  ; 
% 0.18/0.48  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.18/0.48  ;     1 with value 0
% 0.18/0.48  ; The agenda of rows to process has 4 entries:
% 0.18/0.48  ;     2 with value 10              1 with value 12               1 with value 14
% 0.18/0.48  ; The agenda of rows to give has 1 entry:
% 0.18/0.48  ;     1 with value (4 5)
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.025 seconds of real time
% 0.18/0.48    0.017161 seconds of user run time
% 0.18/0.48    0.008335 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    1,485,680 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:34:24
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  * 
%------------------------------------------------------------------------------