TSTP Solution File: LCL821-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL821-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 14:26:25 EDT 2022

% Result   : Unsatisfiable 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-5 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_list__app__typeE_1,axiom,
    ( c_Type_Otypings(X,Y,c_Type_Osko__Type__Xlist__app__typeE__1__1(Z,X,U,Y))
    | ~ c_Type_Otyping(X,c_List_Ofoldl(c_Lambda_OdB_OApp,U,Y,tc_Lambda_OdB,tc_Lambda_OdB),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__app__typeE_1) ).

cnf(cls_nT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nT_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(274,plain,
    ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,X),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).

cnf(831,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_list__app__typeE_1,274,cls_nT_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL821-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n028.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 : Sat Jul  2 17:42:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:42:47
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-02T17:42:47
% 0.18/0.56  
% 0.18/0.56  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.57  WARNING:
% 0.18/0.57     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.85  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.61/0.85  
% 0.61/0.85  #||
% 0.61/0.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.85  % SZS output start Refutation
% See solution above
% 0.61/0.85  ||#
% 0.61/0.85  
% 0.61/0.85  ; Summary of computation:
% 0.61/0.85  ;      2444 formulas have been input or derived (from 170 formulas).
% 0.61/0.85  ;       831 (34%) were retained.  Of these,
% 0.61/0.85  ;           55 ( 7%) were simplified or subsumed later,
% 0.61/0.85  ;          776 (93%) are still being kept.
% 0.61/0.85  ; 
% 0.61/0.85  ; Run time in seconds:
% 0.61/0.85  ;     0.080  21%   Read assertion file          (1 call)
% 0.61/0.85  ;     0.012   3%   Assert                       (367 calls)
% 0.61/0.85  ;     0.066  17%   Process new row              (2,036 calls)
% 0.61/0.85  ;     0.042  11%   Resolution                   (338 calls)
% 0.61/0.85  ;     0.016   4%   Paramodulation               (169 calls)
% 0.61/0.85  ;     0.000   0%   Factoring                    (5 calls)
% 0.61/0.85  ;     0.021   6%   Condensing                   (754 calls)
% 0.61/0.85  ;     0.033   9%   Forward subsumption          (754 calls)
% 0.61/0.85  ;     0.010   3%   Backward subsumption         (400 calls)
% 0.61/0.85  ;     0.009   2%   Clause clause subsumption    (1,467 calls)
% 0.61/0.85  ;     0.040  10%   Forward simplification       (2,006 calls)
% 0.61/0.85  ;     0.014   4%   Backward simplification      (814 calls)
% 0.61/0.85  ;     0.007   2%   Ordering                     (3,096 calls)
% 0.61/0.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.85  ;     0.001   0%   Purity testing               (1 call)
% 0.61/0.85  ;     0.030   8%   Other
% 0.61/0.85  ;     0.381        Total
% 0.61/0.85  ;     0.382        Real time
% 0.61/0.85  ; 
% 0.61/0.85  ; Term-hash-array has 1,750 terms in all.
% 0.61/0.85  ; Feature-vector-row-index has 392 entries (392 at peak, 400 added, 8 deleted).
% 0.61/0.85  ; Feature-vector-row-index has 2,633 nodes (2,633 at peak, 2,714 added, 81 deleted).
% 0.61/0.85  ;  Retrieved 1,981 possibly forward subsuming rows in 754 calls.
% 0.61/0.85  ;  Retrieved 153 possibly backward subsumed rows in 400 calls.
% 0.61/0.85  ; Path-index has 1,700 entries (1,700 at peak, 1,777 added, 77 deleted).
% 0.61/0.85  ; Path-index has 3,935 nodes (3,935 at peak, 4,022 added, 87 deleted).
% 0.61/0.85  ; Trie-index has 1,700 entries (1,700 at peak, 1,777 added, 77 deleted).
% 0.61/0.85  ; Trie-index has 6,630 nodes (6,630 at peak, 6,941 added, 311 deleted).
% 0.61/0.85  ; Retrieved 5,619 generalization terms in 9,728 calls.
% 0.61/0.85  ; Retrieved 751 instance terms in 478 calls.
% 0.61/0.85  ; Retrieved 35,314 unifiable terms in 1,626 calls.
% 0.61/0.85  ; 
% 0.61/0.85  ; The agenda of rows to process has 6 entries:
% 0.61/0.85  ;     1 with value 16              1 with value 19               4 with value 21
% 0.61/0.85  ; The agenda of input rows to give has 98 entries:
% 0.61/0.85  ;     3 with value 21              4 with value 29               1 with value 40
% 0.61/0.85  ;    10 with value 22              3 with value 30               2 with value 41
% 0.61/0.85  ;     9 with value 23              5 with value 31               1 with value 42
% 0.61/0.85  ;    10 with value 24              6 with value 32               2 with value 47
% 0.61/0.85  ;     7 with value 25              2 with value 33               1 with value 48
% 0.61/0.85  ;     8 with value 26              1 with value 34               3 with value 52
% 0.61/0.85  ;     8 with value 27              1 with value 35               1 with value 53
% 0.61/0.85  ;    10 with value 28
% 0.61/0.85  ; The agenda of rows to give has 508 entries:
% 0.61/0.85  ;     2 with value (4 6)          13 with value (4 17)          21 with value (4 28)
% 0.61/0.86  ;     2 with value (4 7)          32 with value (4 18)          23 with value (4 29)
% 0.61/0.86  ;     7 with value (4 8)          20 with value (4 19)          16 with value (4 30)
% 0.61/0.86  ;     8 with value (4 9)          23 with value (4 20)          13 with value (4 31)
% 0.61/0.86  ;     6 with value (4 10)         34 with value (4 21)           8 with value (4 32)
% 0.61/0.86  ;    12 with value (4 11)         40 with value (4 22)           3 with value (4 33)
% 0.61/0.86  ;     6 with value (4 12)         37 with value (4 23)           2 with value (4 34)
% 0.61/0.86  ;    15 with value (4 13)         25 with value (4 24)           2 with value (4 35)
% 0.61/0.86  ;    10 with value (4 14)         27 with value (4 25)           6 with value (4 36)
% 0.61/0.86  ;    29 with value (4 15)         25 with value (4 26)           4 with value (4 37)
% 0.61/0.86  ;    24 with value (4 16)          8 with value (4 27)           5 with value (4 38)
% 0.61/0.86  Evaluation took:
% 0.61/0.86    0.392 seconds of real time
% 0.61/0.86    0.356926 seconds of user run time
% 0.61/0.86    0.03409 seconds of system run time
% 0.61/0.86    [Run times include 0.019 seconds GC run time.]
% 0.61/0.86    0 calls to %EVAL
% 0.61/0.86    0 page faults and
% 0.61/0.86    24,992,416 bytes consed.
% 0.61/0.86  :PROOF-FOUND
% 0.61/0.86  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T17:42:48
% 0.61/0.86  :PROOF-FOUND
% 0.61/0.86  * 
%------------------------------------------------------------------------------