TSTP Solution File: LCL850-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:26:40 EDT 2022

% Result   : Unsatisfiable 0.60s 0.86s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   2 RR)
%            Number of literals    :    5 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-4 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(X,Y,Z,U),Y) = Z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).

cnf(cls_typing_OVar_0,axiom,
    c_Type_Otyping(X,c_Lambda_OdB_OVar(Y),hAPP(X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(762,plain,
    c_Type_Otyping(c_Type_Oshift(X,Y,Z,U),c_Lambda_OdB_OVar(Y),Z),
    inference('PARAMODULATE',[status(thm)],[cls_typing_OVar_0,cls_shift__eq_0,theory(equality)]) ).

cnf(763,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,762]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 14:40:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:40:41
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T14:40:41
% 0.46/0.70  
% 0.46/0.70  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.86  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.60/0.86  
% 0.60/0.86  #||
% 0.60/0.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.86  % SZS output start Refutation
% See solution above
% 0.60/0.86  ||#
% 0.60/0.86  
% 0.60/0.86  ; Summary of computation:
% 0.60/0.86  ;      1294 formulas have been input or derived (from 127 formulas).
% 0.60/0.86  ;       763 (59%) were retained.  Of these,
% 0.60/0.86  ;           71 ( 9%) were simplified or subsumed later,
% 0.60/0.86  ;          692 (91%) are still being kept.
% 0.60/0.86  ; 
% 0.60/0.86  ; Run time in seconds excluding printing time:
% 0.60/0.86  ;     0.207  53%   Read assertion file          (1 call)
% 0.60/0.86  ;     0.019   5%   Assert                       (902 calls)
% 0.60/0.86  ;     0.054  14%   Process new row              (1,164 calls)
% 0.60/0.86  ;     0.008   2%   Resolution                   (252 calls)
% 0.60/0.86  ;     0.000   0%   Paramodulation               (126 calls)
% 0.60/0.86  ;     0.000   0%   Factoring                    (3 calls)
% 0.60/0.86  ;     0.009   2%   Condensing                   (585 calls)
% 0.60/0.86  ;     0.013   3%   Forward subsumption          (585 calls)
% 0.60/0.86  ;     0.016   4%   Backward subsumption         (483 calls)
% 0.60/0.86  ;     0.006   2%   Clause clause subsumption    (754 calls)
% 0.60/0.86  ;     0.015   4%   Forward simplification       (1,006 calls)
% 0.60/0.86  ;     0.009   2%   Backward simplification      (731 calls)
% 0.60/0.86  ;     0.006   2%   Ordering                     (631 calls)
% 0.60/0.86  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.86  ;     0.002   1%   Purity testing               (1 call)
% 0.60/0.86  ;     0.024   6%   Other
% 0.60/0.86  ;     0.388        Total
% 0.60/0.86  ;     0.393        Real time
% 0.60/0.86  ; 
% 0.60/0.86  ; Term-hash-array has 1,391 terms in all.
% 0.60/0.86  ; Feature-vector-row-index has 462 entries (462 at peak, 483 added, 21 deleted).
% 0.60/0.86  ; Feature-vector-row-index has 2,253 nodes (2,253 at peak, 2,461 added, 208 deleted).
% 0.60/0.86  ;  Retrieved 538 possibly forward subsuming rows in 585 calls.
% 0.60/0.86  ;  Retrieved 377 possibly backward subsumed rows in 483 calls.
% 0.60/0.86  ; Path-index has 1,286 entries (1,288 at peak, 1,450 added, 164 deleted).
% 0.60/0.86  ; Path-index has 4,164 nodes (4,171 at peak, 4,401 added, 237 deleted).
% 0.60/0.86  ; Trie-index has 1,286 entries (1,288 at peak, 1,450 added, 164 deleted).
% 0.60/0.86  ; Trie-index has 4,667 nodes (4,687 at peak, 5,362 added, 695 deleted).
% 0.60/0.86  ; Retrieved 964 generalization terms in 3,459 calls.
% 0.60/0.86  ; Retrieved 558 instance terms in 266 calls.
% 0.60/0.86  ; Retrieved 9,513 unifiable terms in 649 calls.
% 0.60/0.86  ; 
% 0.60/0.86  ; The agenda of input rows to give has 465 entries:
% 0.60/0.86  ;     2 with value 12             30 with value 24               3 with value 35
% 0.60/0.86  ;    30 with value 13              6 with value 25               4 with value 36
% 0.60/0.86  ;    26 with value 14             16 with value 26               1 with value 37
% 0.60/0.86  ;    13 with value 15             38 with value 27               1 with value 38
% 0.60/0.86  ;    26 with value 16             13 with value 28               7 with value 39
% 0.60/0.86  ;    36 with value 17             12 with value 29               1 with value 40
% 0.60/0.86  ;    38 with value 18              9 with value 30               1 with value 41
% 0.60/0.86  ;    23 with value 19             18 with value 31               2 with value 42
% 0.60/0.86  ;    13 with value 20              6 with value 32               1 with value 43
% 0.60/0.86  ;    34 with value 21              2 with value 33               3 with value 50
% 0.60/0.86  ;    28 with value 22              1 with value 34               8 with value 52
% 0.60/0.86  ;    13 with value 23
% 0.60/0.86  ; The agenda of rows to give has 100 entries:
% 0.60/0.86  ;     2 with value (4 6)          20 with value (4 11)          10 with value (4 15)
% 0.60/0.86  ;     5 with value (4 7)           8 with value (4 12)           1 with value (4 16)
% 0.60/0.86  ;     5 with value (4 8)          11 with value (4 13)           9 with value (4 17)
% 0.60/0.86  ;     7 with value (4 9)           5 with value (4 14)           3 with value (4 26)
% 0.60/0.86  ;    14 with value (4 10)
% 0.60/0.86  Evaluation took:
% 0.60/0.86    0.394 seconds of real time
% 0.60/0.86    0.370227 seconds of user run time
% 0.60/0.86    0.020119 seconds of system run time
% 0.60/0.86    [Run times include 0.008 seconds GC run time.]
% 0.60/0.86    0 calls to %EVAL
% 0.60/0.86    0 page faults and
% 0.60/0.86    22,545,120 bytes consed.
% 0.60/0.86  :PROOF-FOUND
% 0.60/0.86  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T14:40:41
% 0.60/0.86  :PROOF-FOUND
% 0.60/0.86  * 
%------------------------------------------------------------------------------