TSTP Solution File: LCL825-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL825-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 : Sun Jul 17 14:26:27 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   2 RR)
%            Number of literals    :    4 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_listsp_ONil_0,axiom,
    c_List_Olistsp(X,c_List_Olist_ONil(Y),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).

cnf(cls_map__is__Nil__conv_1,axiom,
    c_List_Omap(X,c_List_Olist_ONil(Y),Y,Z) = c_List_Olist_ONil(Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(416,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_listsp_ONil_0,cls_map__is__Nil__conv_1,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL825-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Sat Jul  2 21:43:30 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T21:43:30
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-02T21:43:30
% 0.46/0.66  
% 0.46/0.66  
% 0.46/0.66  #||
% 0.46/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66  % SZS output start Refutation
% See solution above
% 0.46/0.66  ||#
% 0.46/0.66  
% 0.46/0.66  ; Summary of computation:
% 0.46/0.66  ;       535 formulas have been input or derived (from 1 formulas).
% 0.46/0.66  ;       416 (78%) were retained.  Of these,
% 0.46/0.66  ;           52 (12%) were simplified or subsumed later,
% 0.46/0.66  ;          364 (88%) are still being kept.
% 0.46/0.66  ; 
% 0.46/0.66  ; Run time in seconds excluding printing time:
% 0.46/0.66  ;     0.095  53%   Read assertion file          (1 call)
% 0.46/0.66  ;     0.005   3%   Assert                       (484 calls)
% 0.46/0.66  ;     0.019  11%   Process new row              (445 calls)
% 0.46/0.66  ;     0.008   4%   Condensing                   (274 calls)
% 0.46/0.66  ;     0.009   5%   Forward subsumption          (274 calls)
% 0.46/0.66  ;     0.007   4%   Backward subsumption         (258 calls)
% 0.46/0.66  ;     0.002   1%   Clause clause subsumption    (131 calls)
% 0.46/0.66  ;     0.004   2%   Forward simplification       (445 calls)
% 0.46/0.66  ;     0.004   2%   Backward simplification      (392 calls)
% 0.46/0.66  ;     0.005   3%   Ordering                     (314 calls)
% 0.46/0.66  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.46/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.46/0.66  ;     0.019  11%   Other
% 0.46/0.66  ;     0.179        Total
% 0.46/0.66  ;     0.180        Real time
% 0.46/0.66  ; 
% 0.46/0.66  ; Term-hash-array has 1,113 terms in all.
% 0.46/0.66  ; Feature-vector-row-index has 240 entries (240 at peak, 258 added, 18 deleted).
% 0.46/0.66  ; Feature-vector-row-index has 1,127 nodes (1,127 at peak, 1,227 added, 100 deleted).
% 0.46/0.66  ;  Retrieved 205 possibly forward subsuming rows in 274 calls.
% 0.46/0.66  ;  Retrieved 117 possibly backward subsumed rows in 258 calls.
% 0.46/0.66  ; Path-index has 1,033 entries (1,033 at peak, 1,148 added, 115 deleted).
% 0.46/0.66  ; Path-index has 4,655 nodes (4,655 at peak, 4,851 added, 196 deleted).
% 0.46/0.66  ; Trie-index has 1,033 entries (1,033 at peak, 1,148 added, 115 deleted).
% 0.46/0.66  ; Trie-index has 4,471 nodes (4,471 at peak, 4,950 added, 479 deleted).
% 0.46/0.66  ; Retrieved 253 generalization terms in 1,385 calls.
% 0.46/0.66  ; Retrieved 265 instance terms in 167 calls.
% 0.46/0.66  ; 
% 0.46/0.66  ; The agenda of input rows to process has 31 entries:
% 0.46/0.66  ;    31 with value 0
% 0.46/0.66  ; The agenda of backward simplifiable rows to process has 27 entries:
% 0.46/0.66  ;    27 with value 0
% 0.46/0.66  ; The agenda of input rows to give has 363 entries:
% 0.46/0.66  ;     1 with value 4              27 with value 18               3 with value 32
% 0.46/0.66  ;     1 with value 5              20 with value 19               4 with value 33
% 0.46/0.66  ;     5 with value 6               9 with value 20               2 with value 34
% 0.46/0.66  ;     6 with value 7              17 with value 21               2 with value 35
% 0.46/0.66  ;     5 with value 8              15 with value 22               2 with value 36
% 0.46/0.66  ;     7 with value 9               5 with value 23               2 with value 37
% 0.46/0.66  ;    10 with value 10             10 with value 24               2 with value 41
% 0.46/0.66  ;    25 with value 11              9 with value 25               1 with value 43
% 0.46/0.66  ;    28 with value 12              5 with value 26               3 with value 44
% 0.46/0.66  ;    11 with value 13              7 with value 27               1 with value 47
% 0.46/0.66  ;    24 with value 14              8 with value 28               1 with value 48
% 0.46/0.66  ;    24 with value 15              2 with value 29               2 with value 50
% 0.46/0.66  ;    29 with value 16              5 with value 30               1 with value 51
% 0.46/0.66  ;    19 with value 17              2 with value 31               1 with value 77
% 0.46/0.66  Evaluation took:
% 0.46/0.66    0.18 seconds of real time
% 0.46/0.66    0.16949 seconds of user run time
% 0.46/0.66    0.011089 seconds of system run time
% 0.46/0.66    0 calls to %EVAL
% 0.46/0.66    0 page faults and
% 0.46/0.66    11,336,920 bytes consed.
% 0.46/0.66  :PROOF-FOUND
% 0.46/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T21:43:30
% 0.46/0.66  :PROOF-FOUND
% 0.46/0.66  * 
%------------------------------------------------------------------------------