TSTP Solution File: SYN006-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 11:56:24 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   8 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   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   :   17 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ p1(X,f(Y))
    | q1(f(X),Y)
    | q2(X,f(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,negated_conjecture,
    p1(a,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,negated_conjecture,
    ~ q2(X,f(Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,negated_conjecture,
    ( ~ p2(X,f(Y))
    | q3(f(X),Y)
    | q4(X,f(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_5,negated_conjecture,
    ~ q3(X,g(Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ~ q4(f(f(X)),f(g(f(Y)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ( ~ q1(X,f(Y))
    | p2(f(X),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(8,plain,
    ( ~ p1(X,f(Y))
    | q1(f(X),Y) ),
    inference('REWRITE',[status(thm)],[clause_1,clause_3]) ).

cnf(9,plain,
    q1(f(a),X),
    inference('HYPERRESOLVE',[status(thm)],[8,clause_2]) ).

cnf(11,plain,
    p2(f(f(a)),X),
    inference('HYPERRESOLVE',[status(thm)],[clause_7,9]) ).

cnf(12,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[clause_4,11,clause_5,clause_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n003.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 : Tue Jul 12 05:48:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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 2022-07-12T05:48:15
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-12T05:48:15
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % 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  ;        17 formulas have been input or derived (from 10 formulas).
% 0.18/0.49  ;        12 (71%) were retained.  Of these,
% 0.18/0.49  ;            1 ( 8%) were simplified or subsumed later,
% 0.18/0.49  ;           11 (92%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.001   4%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   4%   Assert                       (7 calls)
% 0.18/0.49  ;     0.001   4%   Process new row              (12 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (18 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (9 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (4 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (12 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (12 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  88%   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 22 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 3 entries (3 at peak, 4 added, 1 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 15 nodes (15 at peak, 21 added, 6 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.49  ; Path-index has 23 entries (23 at peak, 26 added, 3 deleted).
% 0.18/0.49  ; Path-index has 75 nodes (75 at peak, 79 added, 4 deleted).
% 0.18/0.49  ; Trie-index has 23 entries (23 at peak, 26 added, 3 deleted).
% 0.18/0.49  ; Trie-index has 67 nodes (67 at peak, 74 added, 7 deleted).
% 0.18/0.49  ; Retrieved 0 generalization terms in 2 calls.
% 0.18/0.49  ; Retrieved 7 instance terms in 7 calls.
% 0.18/0.49  ; Retrieved 37 unifiable terms in 49 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 3 entries:
% 0.18/0.49  ;     1 with value 13              1 with value 15               1 with value 22
% 0.18/0.49  ; The agenda of rows to give has 1 entry:
% 0.18/0.49  ;     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    0.022807 seconds of user run time
% 0.18/0.49    0.004948 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    1,874,888 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T05:48:15
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------