TSTP Solution File: SYN561-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN561-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 12:01:42 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% 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    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(p9_2,negated_conjecture,
    p9(c14,c10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).

cnf(p8_3,negated_conjecture,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

cnf(p2_4,negated_conjecture,
    p2(f7(c10,c14),c15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(p2_5,negated_conjecture,
    p2(f6(c15,c11),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(p2_6,negated_conjecture,
    p2(f3(f4(f5(c12)),c13),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_9,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).

cnf(not_p9_15,negated_conjecture,
    ( ~ p9(X,c10)
    | ~ p8(c11,X)
    | ~ p2(f7(c10,X),Y)
    | ~ p2(f6(Y,c11),f3(f4(f5(c12)),c13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_15) ).

cnf(22,plain,
    p2(c16,f6(c15,c11)),
    inference('HYPERRESOLVE',[status(thm)],[p2_9,p2_5,p2_1]) ).

cnf(24,plain,
    p2(c16,f3(f4(f5(c12)),c13)),
    inference('HYPERRESOLVE',[status(thm)],[p2_9,p2_6,p2_1]) ).

cnf(70,plain,
    ~ p2(f6(c15,c11),f3(f4(f5(c12)),c13)),
    inference('UR-RESOLVE',[status(thm)],[not_p9_15,p9_2,p8_3,p2_4]) ).

cnf(337,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p2_9,24,22]),70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN561-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 13:23:39 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 2022-07-11T13:23:40
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T13:23:40
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  #||
% 0.18/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55  % SZS output start Refutation
% See solution above
% 0.18/0.55  ||#
% 0.18/0.55  
% 0.18/0.55  ; Summary of computation:
% 0.18/0.55  ;       913 formulas have been input or derived (from 23 formulas).
% 0.18/0.55  ;       337 (37%) were retained.  Of these,
% 0.18/0.55  ;          337 (100%) are still being kept.
% 0.18/0.55  ; 
% 0.18/0.55  ; Run time in seconds excluding printing time:
% 0.18/0.55  ;     0.003   3%   Read assertion file          (1 call)
% 0.18/0.55  ;     0.000   0%   Assert                       (15 calls)
% 0.18/0.55  ;     0.029  31%   Process new row              (739 calls)
% 0.18/0.55  ;     0.019  20%   Resolution                   (44 calls)
% 0.18/0.55  ;     0.000   0%   Paramodulation               (22 calls)
% 0.18/0.55  ;     0.000   0%   Condensing                   (9 calls)
% 0.18/0.55  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.18/0.55  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.18/0.55  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.18/0.55  ;     0.012  13%   Forward simplification       (739 calls)
% 0.18/0.55  ;     0.005   5%   Backward simplification      (337 calls)
% 0.18/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.55  ;     0.027  28%   Other
% 0.18/0.55  ;     0.095        Total
% 0.18/0.55  ;     0.097        Real time
% 0.18/0.55  ; 
% 0.18/0.55  ; Term-hash-array has 855 terms in all.
% 0.18/0.55  ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.18/0.55  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.18/0.55  ;  Retrieved 3 possibly forward subsuming rows in 9 calls.
% 0.18/0.55  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.18/0.55  ; Path-index has 862 entries (862 at peak, 862 added, 0 deleted).
% 0.18/0.55  ; Path-index has 940 nodes (940 at peak, 940 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 862 entries (862 at peak, 862 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 3,744 nodes (3,744 at peak, 3,744 added, 0 deleted).
% 0.18/0.55  ; Retrieved 1,235 generalization terms in 755 calls.
% 0.18/0.55  ; Retrieved 327 instance terms in 327 calls.
% 0.18/0.55  ; Retrieved 22,678 unifiable terms in 688 calls.
% 0.18/0.55  ; 
% 0.18/0.55  ; The agenda of rows to process has 139 entries:
% 0.18/0.55  ;     2 with value 15              1 with value 17              48 with value 20
% 0.18/0.55  ;     4 with value 16             12 with value 18              72 with value 22
% 0.18/0.55  ; The agenda of rows to give has 314 entries:
% 0.18/0.55  ;     4 with value (4 12)         37 with value (4 16)          12 with value (4 20)
% 0.18/0.55  ;    12 with value (4 13)         30 with value (4 17)          51 with value (4 21)
% 0.18/0.55  ;    13 with value (4 14)        108 with value (4 19)          24 with value (4 22)
% 0.18/0.56  ;    23 with value (4 15)
% 0.18/0.56  Evaluation took:
% 0.18/0.56    0.097 seconds of real time
% 0.18/0.56    0.085237 seconds of user run time
% 0.18/0.56    0.012161 seconds of system run time
% 0.18/0.56    0 calls to %EVAL
% 0.18/0.56    0 page faults and
% 0.18/0.56    5,609,008 bytes consed.
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:23:40
% 0.18/0.56  :PROOF-FOUND
% 0.18/0.56  * 
%------------------------------------------------------------------------------