TSTP Solution File: SYN559-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 12:01:41 EDT 2022

% Result   : Unsatisfiable 0.37s 0.56s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

cnf(p8_2,negated_conjecture,
    p8(c13,c9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).

cnf(p7_3,negated_conjecture,
    p7(c10,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

cnf(p2_4,negated_conjecture,
    p2(f6(c9,c13),c14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(p2_5,negated_conjecture,
    p2(f5(c14,c10),c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

cnf(p2_6,negated_conjecture,
    p2(f3(f4(c11),c12),c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_8,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(not_p8_14,negated_conjecture,
    ( ~ p8(X,c9)
    | ~ p7(c10,X)
    | ~ p2(f6(c9,X),Y)
    | ~ p2(f5(Y,c10),f3(f4(c11),c12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_14) ).

cnf(18,plain,
    p2(c15,f5(c14,c10)),
    inference('HYPERRESOLVE',[status(thm)],[p2_8,p2_5,p2_1]) ).

cnf(20,plain,
    p2(c15,f3(f4(c11),c12)),
    inference('HYPERRESOLVE',[status(thm)],[p2_8,p2_6,p2_1]) ).

cnf(66,plain,
    ~ p2(f5(c14,c10),f3(f4(c11),c12)),
    inference('UR-RESOLVE',[status(thm)],[not_p8_14,p8_2,p7_3,p2_4]) ).

cnf(131,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p2_8,20,18]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 03:08:03 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  * 
% 0.19/0.51  * 
% 0.19/0.51  #<PACKAGE "SNARK-USER">
% 0.19/0.51  * 
% 0.19/0.51  SNARK-TPTP-OPTIONS
% 0.19/0.51  * 
% 0.19/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.52   (USE-FACTORING :POS)
% 0.19/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.52  * 
% 0.19/0.52  "."
% 0.19/0.52  * 
% 0.19/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T03:08:03
% 0.19/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-12T03:08:03
% 0.37/0.56  
% 0.37/0.56  
% 0.37/0.56  #||
% 0.37/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.56  % SZS output start Refutation
% See solution above
% 0.37/0.56  ||#
% 0.37/0.56  
% 0.37/0.56  ; Summary of computation:
% 0.37/0.56  ;       394 formulas have been input or derived (from 18 formulas).
% 0.37/0.56  ;       131 (33%) were retained.  Of these,
% 0.37/0.56  ;          131 (100%) are still being kept.
% 0.37/0.56  ; 
% 0.37/0.56  ; Run time in seconds excluding printing time:
% 0.37/0.56  ;     0.002   5%   Read assertion file          (1 call)
% 0.37/0.56  ;     0.001   2%   Assert                       (14 calls)
% 0.37/0.56  ;     0.008  19%   Process new row              (282 calls)
% 0.37/0.56  ;     0.006  14%   Resolution                   (34 calls)
% 0.37/0.56  ;     0.000   0%   Paramodulation               (17 calls)
% 0.37/0.56  ;     0.000   0%   Condensing                   (8 calls)
% 0.37/0.56  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.37/0.56  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.37/0.56  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.37/0.56  ;     0.001   2%   Forward simplification       (282 calls)
% 0.37/0.56  ;     0.001   2%   Backward simplification      (131 calls)
% 0.37/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.56  ;     0.023  55%   Other
% 0.37/0.56  ;     0.042        Total
% 0.37/0.56  ;     0.044        Real time
% 0.37/0.56  ; 
% 0.37/0.56  ; Term-hash-array has 265 terms in all.
% 0.37/0.56  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.37/0.56  ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.37/0.56  ;  Retrieved 3 possibly forward subsuming rows in 8 calls.
% 0.37/0.56  ;  Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.37/0.56  ; Path-index has 272 entries (272 at peak, 272 added, 0 deleted).
% 0.37/0.56  ; Path-index has 437 nodes (437 at peak, 437 added, 0 deleted).
% 0.37/0.56  ; Trie-index has 272 entries (272 at peak, 272 added, 0 deleted).
% 0.37/0.56  ; Trie-index has 1,137 nodes (1,137 at peak, 1,137 added, 0 deleted).
% 0.37/0.56  ; Retrieved 441 generalization terms in 297 calls.
% 0.37/0.56  ; Retrieved 122 instance terms in 122 calls.
% 0.37/0.56  ; Retrieved 5,946 unifiable terms in 339 calls.
% 0.37/0.56  ; 
% 0.37/0.56  ; The agenda of rows to process has 90 entries:
% 0.37/0.56  ;     2 with value 13             12 with value 16              24 with value 19
% 0.37/0.56  ;     4 with value 14             48 with value 18
% 0.37/0.56  ; The agenda of rows to give has 113 entries:
% 0.37/0.56  ;     2 with value (4 11)         13 with value (4 14)          12 with value (4 17)
% 0.37/0.56  ;     3 with value (4 12)         18 with value (4 15)          15 with value (4 18)
% 0.37/0.56  ;    14 with value (4 13)         36 with value (4 16)
% 0.37/0.56  Evaluation took:
% 0.37/0.56    0.044 seconds of real time
% 0.37/0.56    0.037757 seconds of user run time
% 0.37/0.56    0.006018 seconds of system run time
% 0.37/0.56    0 calls to %EVAL
% 0.37/0.56    0 page faults and
% 0.37/0.56    3,148,336 bytes consed.
% 0.37/0.56  :PROOF-FOUND
% 0.37/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T03:08:03
% 0.37/0.56  :PROOF-FOUND
% 0.37/0.56  * 
%------------------------------------------------------------------------------