↑ Up

SNARK---20120808r022.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL090-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Fri Jul 15 00:41:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   24 (  16 unt;   3 nHn;  24 RR)
%            Number of literals    :   36 (   8 equ;  19 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   43 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(k_s,axiom,
    combK != combS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).

cnf(s_app,axiom,
    combS != comb_app(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).

cnf(app_app1,axiom,
    ( comb_app(X,Y) != comb_app(Z,U)
    | X = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).

cnf(ap_contractE1,axiom,
    ( ~ member(pair(comb_app(X,Y),Z),contract)
    | ap_contractE_c1(X,Y,Z)
    | ap_contractE_c2(X,Y,Z)
    | ap_contractE_c3(X,Y,Z)
    | ap_contractE_c4(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).

cnf(ap_contractE4,axiom,
    ( ~ ap_contractE_c1(X,Y,Z)
    | X = comb_app(combK,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).

cnf(ap_contractE9,axiom,
    ( ~ ap_contractE_c2(X,Y,Z)
    | X = comb_app(comb_app(combS,ap_contractE_sk1p(X,Y,Z)),ap_contractE_sk1q(X,Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).

cnf(ap_contractE10,axiom,
    ( ~ ap_contractE_c3(X,Y,Z)
    | member(pair(X,ap_contractE_sk2q(X,Y,Z)),contract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).

cnf(ap_contractE13,axiom,
    ( ~ ap_contractE_c4(X,Y,Z)
    | member(pair(Y,ap_contractE_sk3q(X,Y,Z)),contract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).

cnf(k_contractE,axiom,
    ~ member(pair(combK,X),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).

cnf(s_contractE,axiom,
    ~ member(pair(combS,X),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).

cnf(i_contract_E,negated_conjecture,
    member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).

cnf(26,plain,
    ~ ap_contractE_c1(combS,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE4,s_app]) ).

cnf(27,plain,
    comb_app(combK,X) != comb_app(combS,Y),
    inference('UR-RESOLVE',[status(thm)],[app_app1,k_s]) ).

cnf(28,plain,
    comb_app(combS,X) != comb_app(comb_app(Y,Z),U),
    inference('UR-RESOLVE',[status(thm)],[app_app1,s_app]) ).

cnf(34,plain,
    ~ ap_contractE_c3(combS,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE10,s_contractE]) ).

cnf(37,plain,
    ~ ap_contractE_c4(X,combK,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE13,k_contractE]) ).

cnf(42,plain,
    ~ ap_contractE_c2(combS,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE9,s_app]) ).

cnf(45,plain,
    ( ap_contractE_c1(comb_app(combS,combK),combK,r)
    | ap_contractE_c2(comb_app(combS,combK),combK,r)
    | ap_contractE_c3(comb_app(combS,combK),combK,r) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE1,i_contract_E]),37]) ).

cnf(50,plain,
    ~ member(pair(comb_app(combS,combK),X),contract),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE1,42,26,34,37]) ).

cnf(56,plain,
    ~ ap_contractE_c1(comb_app(combS,X),Y,Z),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE4,27]) ).

cnf(57,plain,
    ( ap_contractE_c2(comb_app(combS,combK),combK,r)
    | ap_contractE_c3(comb_app(combS,combK),combK,r) ),
    inference('REWRITE',[status(thm)],[45,56]) ).

cnf(80,plain,
    ~ ap_contractE_c3(comb_app(combS,combK),X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE10,50]) ).

cnf(81,plain,
    ap_contractE_c2(comb_app(combS,combK),combK,r),
    inference('REWRITE',[status(thm)],[57,80]) ).

cnf(86,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE9,81]),28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL090-3 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.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 May 31 06:56:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T06:56:53
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T06:56:53
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       220 formulas have been input or derived (from 58 formulas).
% 0.19/0.52  ;        86 (39%) were retained.  Of these,
% 0.19/0.52  ;            2 ( 2%) were simplified or subsumed later,
% 0.19/0.52  ;           84 (98%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004   9%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   2%   Assert                       (24 calls)
% 0.19/0.52  ;     0.010  21%   Process new row              (195 calls)
% 0.19/0.52  ;     0.002   4%   Resolution                   (114 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (57 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (20 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.19/0.52  ;     0.005  11%   Forward simplification       (195 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (86 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (8 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.023  49%   Other
% 0.19/0.52  ;     0.047        Total
% 0.19/0.52  ;     0.050        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 166 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 18 entries (19 at peak, 20 added, 2 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 60 nodes (74 at peak, 87 added, 27 deleted).
% 0.19/0.52  ;  Retrieved 2 possibly forward subsuming rows in 20 calls.
% 0.19/0.52  ;  Retrieved 4 possibly backward subsumed rows in 20 calls.
% 0.19/0.52  ; Path-index has 169 entries (169 at peak, 174 added, 5 deleted).
% 0.19/0.52  ; Path-index has 441 nodes (441 at peak, 457 added, 16 deleted).
% 0.19/0.52  ; Trie-index has 169 entries (169 at peak, 174 added, 5 deleted).
% 0.19/0.52  ; Trie-index has 520 nodes (520 at peak, 540 added, 20 deleted).
% 0.19/0.52  ; Retrieved 108 generalization terms in 184 calls.
% 0.19/0.52  ; Retrieved 67 instance terms in 65 calls.
% 0.19/0.52  ; Retrieved 1,108 unifiable terms in 473 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 3 entries:
% 0.19/0.52  ;     3 with value 26
% 0.19/0.52  ; The agenda of rows to give has 26 entries:
% 0.19/0.52  ;     1 with value (4 6)           6 with value (4 13)           8 with value (4 16)
% 0.19/0.52  ;     2 with value (4 11)          2 with value (4 15)           4 with value (4 17)
% 0.19/0.52  ;     3 with value (4 12)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.051 seconds of real time
% 0.19/0.52    0.045532 seconds of user run time
% 0.19/0.52    0.005168 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,779,192 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T06:56:53
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------