TSTP Solution File: SYN669-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 12:02:25 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_7,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

cnf(p25_12,negated_conjecture,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

cnf(p25_13,negated_conjecture,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

cnf(not_p2_18,negated_conjecture,
    ~ p2(X,f18(X,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).

cnf(p2_30,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

cnf(p2_39,negated_conjecture,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

cnf(p2_49,negated_conjecture,
    ( p2(f11(f4(X),c34),f11(f4(c32),c34))
    | ~ p25(X,c33)
    | ~ p25(c32,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

cnf(65,plain,
    ~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
    inference('UR-RESOLVE',[status(thm)],[p2_30,p2_39,not_p2_18]) ).

cnf(100,plain,
    p2(f11(f4(c36),c34),f11(f4(c32),c34)),
    inference('HYPERRESOLVE',[status(thm)],[p2_49,p25_12,p25_13]) ).

cnf(180,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_30,65,p2_7]),100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN669-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Tue Jul 12 01:10:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:10:40
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T01:10:40
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.55  ||#
% 0.21/0.55  
% 0.21/0.55  ; Summary of computation:
% 0.21/0.55  ;       469 formulas have been input or derived (from 72 formulas).
% 0.21/0.55  ;       180 (38%) were retained.  Of these,
% 0.21/0.55  ;          180 (100%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.009  12%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.002   3%   Assert                       (54 calls)
% 0.21/0.55  ;     0.018  25%   Process new row              (432 calls)
% 0.21/0.55  ;     0.008  11%   Resolution                   (142 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (71 calls)
% 0.21/0.55  ;     0.001   1%   Condensing                   (31 calls)
% 0.21/0.55  ;     0.001   1%   Forward subsumption          (31 calls)
% 0.21/0.55  ;     0.001   1%   Backward subsumption         (31 calls)
% 0.21/0.55  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.21/0.55  ;     0.007  10%   Forward simplification       (432 calls)
% 0.21/0.55  ;     0.001   1%   Backward simplification      (180 calls)
% 0.21/0.55  ;     0.000   0%   Ordering                     (3 calls)
% 0.21/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.55  ;     0.025  34%   Other
% 0.21/0.55  ;     0.073        Total
% 0.21/0.55  ;     0.075        Real time
% 0.21/0.55  ; 
% 0.21/0.55  ; Term-hash-array has 402 terms in all.
% 0.21/0.55  ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.21/0.55  ; Feature-vector-row-index has 138 nodes (138 at peak, 138 added, 0 deleted).
% 0.21/0.55  ;  Retrieved 2 possibly forward subsuming rows in 31 calls.
% 0.21/0.55  ;  Retrieved 0 possibly backward subsumed rows in 31 calls.
% 0.21/0.55  ; Path-index has 412 entries (412 at peak, 412 added, 0 deleted).
% 0.21/0.55  ; Path-index has 864 nodes (864 at peak, 864 added, 0 deleted).
% 0.21/0.55  ; Trie-index has 412 entries (412 at peak, 412 added, 0 deleted).
% 0.21/0.55  ; Trie-index has 1,690 nodes (1,690 at peak, 1,690 added, 0 deleted).
% 0.21/0.55  ; Retrieved 567 generalization terms in 474 calls.
% 0.21/0.55  ; Retrieved 154 instance terms in 148 calls.
% 0.21/0.55  ; Retrieved 4,108 unifiable terms in 788 calls.
% 0.21/0.55  ; 
% 0.21/0.55  ; The agenda of rows to process has 2 entries:
% 0.21/0.55  ;     2 with value 14
% 0.21/0.55  ; The agenda of rows to give has 108 entries:
% 0.21/0.55  ;     1 with value (4 9)          11 with value (4 17)          14 with value (4 23)
% 0.21/0.55  ;     2 with value (4 13)          5 with value (4 18)           2 with value (4 24)
% 0.21/0.55  ;     8 with value (4 14)          7 with value (4 20)           8 with value (4 28)
% 0.21/0.55  ;     5 with value (4 15)         19 with value (4 21)           8 with value (4 29)
% 0.21/0.55  ;     8 with value (4 16)          2 with value (4 22)           8 with value (4 33)
% 0.21/0.55  Evaluation took:
% 0.21/0.55    0.076 seconds of real time
% 0.21/0.55    0.067497 seconds of user run time
% 0.21/0.55    0.008183 seconds of system run time
% 0.21/0.55    0 calls to %EVAL
% 0.21/0.55    0 page faults and
% 0.21/0.55    4,204,824 bytes consed.
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:10:40
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------