TSTP Solution File: SYN345-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 11:59:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   5 unt;   6 nHn;   9 RR)
%            Number of literals    :   32 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(a,b,X)
    | ~ f(a,a,b)
    | f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(2,plain,
    ( ~ f(a,a,b)
    | f(a,b,b) ),
    inference('CONDENSE',[status(thm)],[clause1]) ).

cnf(clause3,negated_conjecture,
    ( f(b,X,Y)
    | f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(clause4,negated_conjecture,
    ( ~ f(X,z(X,Y),z(X,Y))
    | f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ( f(X,Y,z(X,Y))
    | f(a,a,b)
    | f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    ( f(X,Y,z(X,Y))
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(clause7,negated_conjecture,
    ( ~ f(b,b,X)
    | f(a,a,b)
    | f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(clause8,negated_conjecture,
    ( ~ f(b,b,X)
    | ~ f(a,a,b)
    | ~ f(a,b,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

cnf(9,plain,
    ( f(a,a,b)
    | f(a,b,b) ),
    inference('HYPERRESOLVE',[status(thm)],[clause7,clause5]) ).

cnf(10,plain,
    ( f(a,a,b)
    | f(b,X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[clause3,9]) ).

cnf(11,plain,
    f(a,a,b),
    inference('HYPERRESOLVE',[status(thm)],[clause4,10,9]) ).

cnf(12,plain,
    f(a,b,b),
    inference('REWRITE',[status(thm)],[2,11]) ).

cnf(13,plain,
    f(X,Y,z(X,Y)),
    inference('REWRITE',[status(thm)],[clause6,12,11]) ).

cnf(14,plain,
    ~ f(b,b,X),
    inference('REWRITE',[status(thm)],[clause8,12,11]) ).

cnf(15,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[14,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 19:26:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:26:45
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T19:26:45
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        21 formulas have been input or derived (from 13 formulas).
% 0.20/0.51  ;        15 (71%) were retained.  Of these,
% 0.20/0.51  ;           10 (67%) were simplified or subsumed later,
% 0.20/0.51  ;            5 (33%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (8 calls)
% 0.20/0.51  ;     0.002   7%   Process new row              (19 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (24 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (12 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (10 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.20/0.51  ;     0.001   3%   Backward subsumption         (9 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (15 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (14 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (13 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  76%   Other
% 0.20/0.51  ;     0.029        Total
% 0.20/0.51  ;     0.031        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 7 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (7 at peak, 9 added, 9 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (57 at peak, 68 added, 67 deleted).
% 0.20/0.51  ;  Retrieved 1 possibly forward subsuming row in 10 calls.
% 0.20/0.51  ;  Retrieved 4 possibly backward subsumed rows in 9 calls.
% 0.20/0.51  ; Path-index has 7 entries (9 at peak, 14 added, 7 deleted).
% 0.20/0.51  ; Path-index has 28 nodes (30 at peak, 39 added, 11 deleted).
% 0.20/0.51  ; Trie-index has 7 entries (9 at peak, 14 added, 7 deleted).
% 0.20/0.51  ; Trie-index has 20 nodes (28 at peak, 43 added, 23 deleted).
% 0.20/0.51  ; Retrieved 2 generalization terms in 5 calls.
% 0.20/0.51  ; Retrieved 4 instance terms in 4 calls.
% 0.20/0.51  ; Retrieved 59 unifiable terms in 68 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.032 seconds of real time
% 0.20/0.51    0.0278 seconds of user run time
% 0.20/0.51    0.003716 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,374,352 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:26:45
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------