TSTP Solution File: LCL851-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL851-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 0.85s 1.01s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :    7 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_lift__type_0,axiom,
    ( c_Type_Otyping(c_Type_Oshift(X,Y,Z,tc_Type_Otype),c_Lambda_Olift(U,Y),V)
    | ~ c_Type_Otyping(X,U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).

cnf(cls_App_I3_J_0,axiom,
    c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_I3_J_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_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(1267,plain,
    c_Type_Otyping(c_Type_Oshift(v_ea____,X,Y,tc_Type_Otype),c_Lambda_Olift(v_ta____,X),v_Ta____),
    inference('HYPERRESOLVE',[status(thm)],[cls_lift__type_0,cls_App_I3_J_0]) ).

cnf(1268,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,1267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL851-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 06:18:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:18:38
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-04T06:18:38
% 0.47/0.65  
% 0.47/0.65  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.85/1.01  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.85/1.01  
% 0.85/1.01  #||
% 0.85/1.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.01  % SZS output start Refutation
% See solution above
% 0.85/1.02  ||#
% 0.85/1.02  
% 0.85/1.02  ; Summary of computation:
% 0.85/1.02  ;      3570 formulas have been input or derived (from 271 formulas).
% 0.85/1.02  ;      1268 (36%) were retained.  Of these,
% 0.85/1.02  ;           78 ( 6%) were simplified or subsumed later,
% 0.85/1.02  ;         1190 (94%) are still being kept.
% 0.85/1.02  ; 
% 0.85/1.02  ; Run time in seconds excluding printing time:
% 0.85/1.02  ;     0.166  30%   Read assertion file          (1 call)
% 0.85/1.02  ;     0.017   3%   Assert                       (946 calls)
% 0.85/1.02  ;     0.088  16%   Process new row              (3,041 calls)
% 0.85/1.02  ;     0.053  10%   Resolution                   (540 calls)
% 0.85/1.02  ;     0.003   1%   Paramodulation               (270 calls)
% 0.85/1.02  ;     0.000   0%   Factoring                    (5 calls)
% 0.85/1.02  ;     0.027   5%   Condensing                   (1,136 calls)
% 0.85/1.02  ;     0.025   5%   Forward subsumption          (1,136 calls)
% 0.85/1.02  ;     0.018   3%   Backward subsumption         (694 calls)
% 0.85/1.02  ;     0.011   2%   Clause clause subsumption    (1,643 calls)
% 0.85/1.02  ;     0.062  11%   Forward simplification       (2,879 calls)
% 0.85/1.02  ;     0.010   2%   Backward simplification      (1,234 calls)
% 0.85/1.02  ;     0.032   6%   Ordering                     (3,400 calls)
% 0.85/1.02  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.85/1.03  ;     0.003   1%   Purity testing               (1 call)
% 0.85/1.03  ;     0.034   6%   Other
% 0.85/1.03  ;     0.549        Total
% 0.85/1.03  ;     0.563        Real time
% 0.85/1.03  ; 
% 0.85/1.03  ; Term-hash-array has 2,360 terms in all.
% 0.85/1.03  ; Feature-vector-row-index has 667 entries (667 at peak, 694 added, 27 deleted).
% 0.85/1.03  ; Feature-vector-row-index has 3,154 nodes (3,154 at peak, 3,423 added, 269 deleted).
% 0.85/1.03  ;  Retrieved 1,752 possibly forward subsuming rows in 1,136 calls.
% 0.85/1.03  ;  Retrieved 458 possibly backward subsumed rows in 694 calls.
% 0.85/1.03  ; Path-index has 2,258 entries (2,261 at peak, 2,406 added, 148 deleted).
% 0.85/1.03  ; Path-index has 9,264 nodes (9,269 at peak, 9,432 added, 168 deleted).
% 0.85/1.03  ; Trie-index has 2,258 entries (2,261 at peak, 2,406 added, 148 deleted).
% 0.85/1.03  ; Trie-index has 9,735 nodes (9,754 at peak, 10,344 added, 609 deleted).
% 0.85/1.03  ; Retrieved 7,535 generalization terms in 11,029 calls.
% 0.85/1.03  ; Retrieved 1,022 instance terms in 558 calls.
% 0.85/1.03  ; Retrieved 65,053 unifiable terms in 2,253 calls.
% 0.85/1.03  ; 
% 0.85/1.03  ; The agenda of rows to process has 2 entries:
% 0.85/1.03  ;     1 with value 15              1 with value 17
% 0.85/1.03  ; The agenda of input rows to give has 354 entries:
% 0.85/1.03  ;    38 with value 18             13 with value 28               4 with value 38
% 0.85/1.03  ;    25 with value 19             12 with value 29               7 with value 39
% 0.85/1.03  ;    12 with value 20             10 with value 30               1 with value 40
% 0.85/1.03  ;    36 with value 21             18 with value 31               1 with value 41
% 0.85/1.03  ;    27 with value 22              6 with value 32               4 with value 42
% 0.85/1.03  ;    13 with value 23              2 with value 33               2 with value 43
% 0.85/1.03  ;    31 with value 24              4 with value 34               1 with value 47
% 0.85/1.03  ;    13 with value 25              1 with value 35               1 with value 49
% 0.85/1.03  ;    16 with value 26              4 with value 36               3 with value 50
% 0.85/1.03  ;    38 with value 27              3 with value 37               8 with value 52
% 0.85/1.03  ; The agenda of rows to give has 566 entries:
% 0.85/1.03  ;     2 with value (4 6)          27 with value (4 18)           3 with value (4 30)
% 0.85/1.03  ;     5 with value (4 7)          30 with value (4 19)           2 with value (4 32)
% 0.85/1.03  ;     5 with value (4 8)          40 with value (4 20)           2 with value (4 33)
% 0.85/1.03  ;     9 with value (4 9)          32 with value (4 21)           1 with value (4 34)
% 0.85/1.03  ;    23 with value (4 10)          7 with value (4 22)           4 with value (4 37)
% 0.85/1.03  ;    29 with value (4 11)         13 with value (4 23)           2 with value (4 38)
% 0.85/1.03  ;    32 with value (4 12)         31 with value (4 24)           3 with value (4 40)
% 0.85/1.03  ;    34 with value (4 13)          9 with value (4 25)           3 with value (4 62)
% 0.85/1.03  ;    52 with value (4 14)         19 with value (4 26)           2 with value (4 70)
% 0.85/1.03  ;    19 with value (4 15)          1 with value (4 27)           2 with value (4 97)
% 0.85/1.03  ;    32 with value (4 16)          1 with value (4 28)           2 with value (4 280)
% 0.85/1.03  ;    82 with value (4 17)          6 with value (4 29)
% 0.85/1.03  Evaluation took:
% 0.85/1.03    0.564 seconds of real time
% 0.85/1.03    0.526295 seconds of user run time
% 0.85/1.03    0.037732 seconds of system run time
% 0.85/1.03    [Run times include 0.037 seconds GC run time.]
% 0.85/1.03    0 calls to %EVAL
% 0.85/1.03    0 page faults and
% 0.85/1.03    37,873,024 bytes consed.
% 0.85/1.03  :PROOF-FOUND
% 0.85/1.03  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:18:39
% 0.85/1.03  :PROOF-FOUND
% 0.85/1.03  * 
%------------------------------------------------------------------------------