TSTP Solution File: SYN332-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 11:59:23 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   5 unt;   5 nHn;  11 RR)
%            Number of literals    :   31 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X,Y)
    | f(X,z(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

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

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

cnf(clause7,negated_conjecture,
    ( ~ f(X,z(X,Y))
    | f(Y,z(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

cnf(clause8,negated_conjecture,
    ( ~ f(X,Y)
    | f(Y,X)
    | ~ f(z(Y,X),z(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

cnf(clause13,negated_conjecture,
    ( f(X,Y)
    | f(Y,X)
    | ~ f(z(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

cnf(clause14,negated_conjecture,
    ( ~ f(X,Y)
    | ~ f(Y,X)
    | ~ f(z(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

cnf(18,plain,
    ( f(X,Y)
    | f(z(X,Y),X) ),
    inference('HYPERRESOLVE',[status(thm)],[clause5,clause1]) ).

cnf(20,plain,
    ( f(X,Y)
    | f(Y,z(X,Y)) ),
    inference('HYPERRESOLVE',[status(thm)],[clause7,clause1]) ).

cnf(22,plain,
    f(X,X),
    inference('HYPERRESOLVE',[status(thm)],[clause13,18]) ).

cnf(23,plain,
    ( ~ f(X,Y)
    | f(Y,X) ),
    inference('REWRITE',[status(thm)],[clause8,22]) ).

cnf(24,plain,
    ~ f(z(X,X),X),
    inference('UR-RESOLVE',[status(thm)],[clause14,22,22]) ).

cnf(25,plain,
    ~ f(X,z(X,X)),
    inference('UR-RESOLVE',[status(thm)],[clause3,22,22]) ).

cnf(30,plain,
    ~ f(z(z(X,X),X),X),
    inference('UR-RESOLVE',[status(thm)],[clause13,25,24]) ).

cnf(32,plain,
    ( f(X,Y)
    | f(z(X,Y),Y) ),
    inference('HYPERRESOLVE',[status(thm)],[23,20]) ).

cnf(37,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,24]),30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 01:40:58 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:40:59
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-12T01:40:59
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       185 formulas have been input or derived (from 24 formulas).
% 0.20/0.54  ;        37 (20%) were retained.  Of these,
% 0.20/0.54  ;           11 (30%) were simplified or subsumed later,
% 0.20/0.54  ;           26 (70%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.003   7%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.000   0%   Assert                       (14 calls)
% 0.20/0.54  ;     0.004   9%   Process new row              (153 calls)
% 0.20/0.54  ;     0.008  17%   Resolution                   (46 calls)
% 0.20/0.54  ;     0.001   2%   Paramodulation               (23 calls)
% 0.20/0.54  ;     0.000   0%   Factoring                    (8 calls)
% 0.20/0.54  ;     0.000   0%   Condensing                   (68 calls)
% 0.20/0.54  ;     0.002   4%   Forward subsumption          (68 calls)
% 0.20/0.54  ;     0.000   0%   Backward subsumption         (25 calls)
% 0.20/0.54  ;     0.001   2%   Clause clause subsumption    (309 calls)
% 0.20/0.54  ;     0.003   7%   Forward simplification       (147 calls)
% 0.20/0.54  ;     0.000   0%   Backward simplification      (37 calls)
% 0.20/0.54  ;     0.001   2%   Ordering                     (26 calls)
% 0.20/0.54  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.022  48%   Other
% 0.20/0.54  ;     0.046        Total
% 0.20/0.54  ;     0.047        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 34 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 14 entries (21 at peak, 25 added, 11 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 9 nodes (25 at peak, 25 added, 16 deleted).
% 0.20/0.54  ;  Retrieved 368 possibly forward subsuming rows in 68 calls.
% 0.20/0.54  ;  Retrieved 77 possibly backward subsumed rows in 25 calls.
% 0.20/0.54  ; Path-index has 26 entries (26 at peak, 34 added, 8 deleted).
% 0.20/0.54  ; Path-index has 51 nodes (51 at peak, 63 added, 12 deleted).
% 0.20/0.54  ; Trie-index has 26 entries (26 at peak, 34 added, 8 deleted).
% 0.20/0.54  ; Trie-index has 52 nodes (52 at peak, 85 added, 33 deleted).
% 0.20/0.54  ; Retrieved 228 generalization terms in 190 calls.
% 0.20/0.54  ; Retrieved 34 instance terms in 11 calls.
% 0.20/0.54  ; Retrieved 2,713 unifiable terms in 239 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 10 entries:
% 0.20/0.54  ;     1 with value 16              9 with value 18
% 0.20/0.54  ; The agenda of rows to give has 10 entries:
% 0.20/0.54  ;     1 with value (4 11)          4 with value (4 14)           4 with value (4 16)
% 0.20/0.54  ;     1 with value (4 13)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.048 seconds of real time
% 0.20/0.54    0.039251 seconds of user run time
% 0.20/0.54    0.009081 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,312,056 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:40:59
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------