TSTP Solution File: LCL788-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL788-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 14:26:04 EDT 2022

% Result   : Unsatisfiable 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   6 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-5 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_foldr__foldl_0,axiom,
    c_List_Ofoldr(X,Y,Z,U,V) = c_List_Ofoldl(c_COMBC(X,U,V,V),Z,c_List_Orev(Y,U),V,U),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr__foldl_0) ).

cnf(cls_typing__elims_I1_J_0,axiom,
    ( hAPP(X,Y) = Z
    | ~ c_Type_Otyping(X,c_Lambda_OdB_OVar(Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I1_J_0) ).

cnf(cls_True_0,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).

cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(X,Y,Z,U),Y) = Z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).

cnf(cls_varT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_varT_0) ).

cnf(205,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))),
    inference('REWRITE',[status(thm)],[cls_varT_0,cls_foldr__foldl_0,cls_True_0,theory(equality)]) ).

cnf(cls_conjecture_0,negated_conjecture,
    v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(211,plain,
    v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(v_Ts____,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_foldr__foldl_0,theory(equality)]) ).

cnf(1284,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_typing__elims_I1_J_0,205]),211,cls_shift__eq_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL788-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n012.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 : Sun Jul  3 18:17:01 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  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 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 2022-07-03T18:17:01
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-03T18:17:01
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  #||
% 0.77/0.95  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  ||#
% 0.77/0.95  
% 0.77/0.95  ; Summary of computation:
% 0.77/0.95  ;      2340 formulas have been input or derived (from 155 formulas).
% 0.77/0.95  ;      1284 (55%) were retained.  Of these,
% 0.77/0.95  ;           61 ( 5%) were simplified or subsumed later,
% 0.77/0.95  ;         1223 (95%) are still being kept.
% 0.77/0.95  ; 
% 0.77/0.95  ; Run time in seconds excluding printing time:
% 0.77/0.95  ;     0.048  10%   Read assertion file          (1 call)
% 0.77/0.95  ;     0.005   1%   Assert                       (242 calls)
% 0.77/0.95  ;     0.154  32%   Process new row              (2,169 calls)
% 0.77/0.95  ;     0.043   9%   Resolution                   (308 calls)
% 0.77/0.95  ;     0.019   4%   Paramodulation               (154 calls)
% 0.77/0.95  ;     0.000   0%   Factoring                    (15 calls)
% 0.77/0.95  ;     0.012   2%   Condensing                   (584 calls)
% 0.77/0.95  ;     0.021   4%   Forward subsumption          (584 calls)
% 0.77/0.95  ;     0.010   2%   Backward subsumption         (435 calls)
% 0.77/0.95  ;     0.006   1%   Clause clause subsumption    (687 calls)
% 0.77/0.95  ;     0.069  14%   Forward simplification       (2,168 calls)
% 0.77/0.95  ;     0.020   4%   Backward simplification      (1,269 calls)
% 0.77/0.95  ;     0.037   8%   Ordering                     (6,509 calls)
% 0.77/0.95  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.77/0.95  ;     0.000   0%   Purity testing               (1 call)
% 0.77/0.95  ;     0.035   7%   Other
% 0.77/0.95  ;     0.480        Total
% 0.77/0.95  ;     0.481        Real time
% 0.77/0.95  ; 
% 0.77/0.95  ; Term-hash-array has 3,618 terms in all.
% 0.77/0.95  ; Feature-vector-row-index has 413 entries (413 at peak, 435 added, 22 deleted).
% 0.77/0.95  ; Feature-vector-row-index has 2,552 nodes (2,552 at peak, 2,787 added, 235 deleted).
% 0.77/0.95  ;  Retrieved 973 possibly forward subsuming rows in 584 calls.
% 0.77/0.95  ;  Retrieved 114 possibly backward subsumed rows in 435 calls.
% 0.77/0.95  ; Path-index has 3,515 entries (3,515 at peak, 3,694 added, 179 deleted).
% 0.77/0.95  ; Path-index has 9,462 nodes (9,462 at peak, 9,810 added, 348 deleted).
% 0.77/0.95  ; Trie-index has 3,515 entries (3,515 at peak, 3,694 added, 179 deleted).
% 0.77/0.95  ; Trie-index has 18,761 nodes (18,761 at peak, 19,993 added, 1,232 deleted).
% 0.77/0.95  ; Retrieved 6,259 generalization terms in 11,677 calls.
% 0.77/0.95  ; Retrieved 1,429 instance terms in 963 calls.
% 0.77/0.95  ; Retrieved 44,252 unifiable terms in 1,893 calls.
% 0.77/0.95  ; 
% 0.77/0.95  ; The agenda of rows to process has 6 entries:
% 0.77/0.95  ;     3 with value 29              1 with value 35               1 with value 45
% 0.77/0.95  ;     1 with value 34
% 0.77/0.95  ; The agenda of input rows to give has 34 entries:
% 0.77/0.95  ;     1 with value 28              3 with value 33               1 with value 41
% 0.77/0.95  ;     3 with value 29              6 with value 34               1 with value 42
% 0.77/0.95  ;     2 with value 30              4 with value 36               1 with value 44
% 0.77/0.95  ;     3 with value 31              1 with value 37               3 with value 47
% 0.77/0.95  ;     1 with value 32              3 with value 38               1 with value 59
% 0.77/0.95  ; The agenda of rows to give has 1035 entries:
% 0.77/0.95  ;     1 with value (4 5)          29 with value (4 20)          80 with value (4 33)
% 0.77/0.95  ;     1 with value (4 7)          45 with value (4 21)          30 with value (4 34)
% 0.77/0.95  ;     2 with value (4 8)          45 with value (4 22)          23 with value (4 35)
% 0.77/0.95  ;     4 with value (4 9)          67 with value (4 23)          17 with value (4 36)
% 0.77/0.95  ;     5 with value (4 10)         66 with value (4 24)          34 with value (4 37)
% 0.77/0.95  ;     9 with value (4 11)         57 with value (4 25)          13 with value (4 38)
% 0.77/0.95  ;     8 with value (4 12)         76 with value (4 26)          10 with value (4 39)
% 0.77/0.95  ;    20 with value (4 13)         30 with value (4 27)          15 with value (4 40)
% 0.77/0.95  ;    11 with value (4 14)         26 with value (4 28)           3 with value (4 41)
% 0.77/0.95  ;    30 with value (4 15)         30 with value (4 29)           2 with value (4 42)
% 0.77/0.95  ;    18 with value (4 16)         62 with value (4 30)           9 with value (4 43)
% 0.77/0.95  ;    14 with value (4 17)         26 with value (4 31)           8 with value (4 44)
% 0.77/0.95  ;    26 with value (4 18)         43 with value (4 32)           4 with value (4 47)
% 0.77/0.95  ;    36 with value (4 19)
% 0.77/0.95  Evaluation took:
% 0.77/0.95    0.481 seconds of real time
% 0.77/0.95    0.457794 seconds of user run time
% 0.77/0.95    0.023776 seconds of system run time
% 0.77/0.95    [Run times include 0.025 seconds GC run time.]
% 0.77/0.95    0 calls to %EVAL
% 0.77/0.95    0 page faults and
% 0.77/0.95    30,012,984 bytes consed.
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:17:02
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  * 
%------------------------------------------------------------------------------